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Princess---230619.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 12:54:39 PM UTC 2026

% Result   : Theorem 21.32s 3.59s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.08/0.35  % Computer : n008.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sat Sep  5 02:06:53 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.13/0.37  OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release.
% 0.54/0.70  ________       _____
% 0.54/0.70  ___  __ \_________(_)________________________________
% 0.54/0.70  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.54/0.70  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.54/0.70  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.54/0.70  
% 0.65/0.70  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.65/0.70  (2023-06-19)
% 0.65/0.70  
% 0.65/0.70  (c) Philipp Rümmer, 2009-2023
% 0.65/0.70  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.65/0.70                Amanda Stjerna.
% 0.65/0.70  Free software under BSD-3-Clause.
% 0.65/0.70  
% 0.65/0.70  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.65/0.70  
% 0.65/0.70  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.65/0.72  Running up to 7 provers in parallel.
% 0.65/0.73  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.65/0.73  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.65/0.73  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.65/0.73  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.65/0.73  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.65/0.73  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.65/0.73  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.83/1.43  Prover 4: Preprocessing ...
% 4.83/1.44  Prover 1: Preprocessing ...
% 4.83/1.45  Prover 0: Preprocessing ...
% 4.83/1.45  Prover 5: Preprocessing ...
% 4.83/1.45  Prover 3: Preprocessing ...
% 4.83/1.45  Prover 2: Preprocessing ...
% 4.83/1.45  Prover 6: Preprocessing ...
% 7.96/1.87  Prover 2: Proving ...
% 7.96/1.87  Prover 5: Proving ...
% 11.05/2.26  Prover 1: Constructing countermodel ...
% 11.85/2.35  Prover 3: Constructing countermodel ...
% 11.85/2.36  Prover 6: Proving ...
% 11.85/2.36  Prover 1: gave up
% 11.85/2.37  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.65/2.43  Prover 3: gave up
% 12.65/2.43  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.49/2.51  Prover 7: Preprocessing ...
% 14.24/2.64  Prover 7: Warning: ignoring some quantifiers
% 14.24/2.64  Prover 8: Preprocessing ...
% 14.24/2.68  Prover 7: Constructing countermodel ...
% 15.03/2.77  Prover 7: gave up
% 15.03/2.77  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 15.82/2.87  Prover 9: Preprocessing ...
% 17.84/3.14  Prover 8: Warning: ignoring some quantifiers
% 18.71/3.18  Prover 8: Constructing countermodel ...
% 19.75/3.30  Prover 8: gave up
% 19.75/3.30  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 19.75/3.38  Prover 10: Preprocessing ...
% 20.52/3.43  Prover 10: Warning: ignoring some quantifiers
% 20.52/3.45  Prover 10: Constructing countermodel ...
% 20.52/3.49  Prover 10: gave up
% 20.52/3.49  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 21.32/3.58  Prover 2: proved (2857ms)
% 21.32/3.59  
% 21.32/3.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.32/3.59  
% 21.32/3.59  Prover 5: stopped
% 21.32/3.59  Prover 6: stopped
% 21.32/3.60  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 21.32/3.60  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 21.32/3.60  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 22.16/3.61  Prover 11: Preprocessing ...
% 22.87/3.70  Prover 16: Preprocessing ...
% 22.87/3.78  Prover 16: Warning: ignoring some quantifiers
% 22.87/3.78  Prover 13: Preprocessing ...
% 23.66/3.80  Prover 16: Constructing countermodel ...
% 23.66/3.82  Prover 19: Preprocessing ...
% 23.66/3.85  Prover 16: gave up
% 24.46/3.95  Prover 13: Warning: ignoring some quantifiers
% 24.46/3.98  Prover 13: Constructing countermodel ...
% 24.46/4.05  Prover 13: gave up
% 26.81/4.26  Prover 19: Warning: ignoring some quantifiers
% 26.81/4.28  Prover 19: Constructing countermodel ...
% 31.50/4.82  Prover 19: gave up
% 32.23/4.96  Prover 4: Constructing countermodel ...
% 33.90/5.18  Prover 0: Proving ...
% 33.90/5.19  Prover 0: stopped
% 34.62/5.28  Prover 9: Constructing countermodel ...
% 34.62/5.29  Prover 9: stopped
% 35.97/5.57  Prover 11: Constructing countermodel ...
% 117.93/28.08  Prover 4: stopped
% 140.57/43.30  Prover 11: stopped
% 140.57/43.30  
% 140.57/43.30  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 140.57/43.30  
% 140.57/43.30  42603ms
%------------------------------------------------------------------------------