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Princess---230619.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : LCL452+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n031.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 12:54:11 PM UTC 2026

% Result   : Theorem 22.97s 4.06s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL452+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.07  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.17/0.44  % Computer : n031.cluster.edu
% 0.17/0.44  % Model    : x86_64 x86_64
% 0.17/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44  % Memory   : 8046.5625MB
% 0.17/0.44  % OS       : Linux 6.8.0-71-generic
% 0.17/0.44  % CPULimit : 300
% 0.17/0.44  % WCLimit  : 300
% 0.17/0.44  % DateTime : Sat Sep  5 01:07:24 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.17/0.47  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.
% 0.99/0.93  ________       _____
% 0.99/0.93  ___  __ \_________(_)________________________________
% 0.99/0.93  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.99/0.93  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.99/0.93  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.99/0.93  
% 0.99/0.93  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.99/0.93  (2023-06-19)
% 0.99/0.93  
% 0.99/0.93  (c) Philipp Rümmer, 2009-2023
% 0.99/0.93  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.99/0.93                Amanda Stjerna.
% 0.99/0.93  Free software under BSD-3-Clause.
% 0.99/0.93  
% 0.99/0.93  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.99/0.93  
% 0.99/0.93  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.99/0.96  Running up to 7 provers in parallel.
% 0.99/0.98  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.99/0.98  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.99/0.98  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.99/0.98  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.99/0.98  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.99/0.98  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.99/0.98  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.75/1.89  Prover 1: Preprocessing ...
% 6.49/1.90  Prover 4: Preprocessing ...
% 6.49/1.94  Prover 2: Preprocessing ...
% 6.49/1.94  Prover 0: Preprocessing ...
% 6.49/1.94  Prover 6: Preprocessing ...
% 6.49/1.94  Prover 3: Preprocessing ...
% 6.49/1.94  Prover 5: Preprocessing ...
% 17.50/3.35  Prover 5: Proving ...
% 17.50/3.36  Prover 1: Constructing countermodel ...
% 17.50/3.37  Prover 3: Constructing countermodel ...
% 17.50/3.38  Prover 6: Constructing countermodel ...
% 18.22/3.44  Prover 4: Constructing countermodel ...
% 18.99/3.57  Prover 0: Proving ...
% 20.59/3.72  Prover 2: Proving ...
% 22.97/4.04  Prover 5: proved (3069ms)
% 22.97/4.05  
% 22.97/4.06  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.97/4.06  
% 22.97/4.06  Prover 0: stopped
% 22.97/4.07  Prover 6: stopped
% 22.97/4.07  Prover 3: stopped
% 22.97/4.07  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 22.97/4.07  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 22.97/4.07  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 22.97/4.07  Prover 2: stopped
% 22.97/4.08  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 22.97/4.08  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 24.55/4.26  Prover 10: Preprocessing ...
% 24.55/4.30  Prover 7: Preprocessing ...
% 25.41/4.35  Prover 8: Preprocessing ...
% 25.41/4.38  Prover 11: Preprocessing ...
% 25.41/4.38  Prover 13: Preprocessing ...
% 28.47/4.79  Prover 8: Warning: ignoring some quantifiers
% 29.26/4.80  Prover 1: gave up
% 29.26/4.80  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 29.26/4.82  Prover 8: Constructing countermodel ...
% 29.26/4.84  Prover 10: Constructing countermodel ...
% 30.06/4.91  Prover 16: Preprocessing ...
% 30.06/4.94  Prover 7: Constructing countermodel ...
% 30.06/4.99  Prover 13: Constructing countermodel ...
% 31.65/5.13  Prover 16: Warning: ignoring some quantifiers
% 31.65/5.16  Prover 16: Constructing countermodel ...
% 32.89/5.34  Prover 11: Constructing countermodel ...
% 33.97/5.47  Prover 8: gave up
% 33.97/5.48  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 35.60/5.61  Prover 19: Preprocessing ...
% 36.37/5.74  Prover 10: gave up
% 36.37/5.80  Prover 13: gave up
% 38.75/6.07  Prover 19: Constructing countermodel ...
% 41.14/6.38  Prover 19: gave up
% 54.28/8.18  Prover 16: gave up
% 152.76/28.31  Prover 4: stopped
% 155.25/28.88  Prover 7: stopped
% 172.56/40.66  Prover 11: stopped
% 172.56/40.66  
% 172.56/40.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 172.56/40.66  
% 172.56/40.66  39730ms
%------------------------------------------------------------------------------