TSTP Solution File: SYN426+1 by Princess---230619

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : SYN426+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n012.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 03:27:39 EDT 2023

% Result   : Timeout 286.66s 38.85s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN426+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 18:41:10 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.61  ________       _____
% 0.18/0.61  ___  __ \_________(_)________________________________
% 0.18/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.18/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.18/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.18/0.61  
% 0.18/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.61  (2023-06-19)
% 0.18/0.61  
% 0.18/0.61  (c) Philipp Rümmer, 2009-2023
% 0.18/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.61                Amanda Stjerna.
% 0.18/0.61  Free software under BSD-3-Clause.
% 0.18/0.61  
% 0.18/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.61  
% 0.18/0.61  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.18/0.62  Running up to 7 provers in parallel.
% 0.18/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.18/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.18/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.18/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.18/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.18/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.18/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 8.19/1.79  Prover 4: Preprocessing ...
% 8.53/1.83  Prover 2: Preprocessing ...
% 8.53/1.84  Prover 0: Preprocessing ...
% 8.53/1.84  Prover 6: Preprocessing ...
% 8.53/1.85  Prover 5: Preprocessing ...
% 8.53/1.86  Prover 3: Preprocessing ...
% 8.53/1.87  Prover 1: Preprocessing ...
% 17.82/3.10  Prover 5: Proving ...
% 18.70/3.22  Prover 2: Proving ...
% 20.63/3.43  Prover 1: Constructing countermodel ...
% 21.04/3.51  Prover 3: Constructing countermodel ...
% 21.04/3.54  Prover 6: Proving ...
% 33.64/5.18  Prover 4: Constructing countermodel ...
% 36.57/5.56  Prover 0: Proving ...
% 66.22/9.44  Prover 3: gave up
% 66.22/9.44  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 68.57/9.84  Prover 7: Preprocessing ...
% 71.62/10.11  Prover 7: Warning: ignoring some quantifiers
% 71.62/10.13  Prover 7: Constructing countermodel ...
% 76.12/10.71  Prover 1: gave up
% 76.42/10.73  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 77.63/10.95  Prover 8: Preprocessing ...
% 80.01/11.25  Prover 8: Warning: ignoring some quantifiers
% 80.01/11.27  Prover 8: Constructing countermodel ...
% 81.82/11.52  Prover 2: stopped
% 81.82/11.52  Prover 9: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 84.12/11.78  Prover 9: Preprocessing ...
% 92.54/12.83  Prover 9: Constructing countermodel ...
% 101.40/14.00  Prover 5: stopped
% 101.40/14.01  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 103.47/14.30  Prover 10: Preprocessing ...
% 104.90/14.45  Prover 10: Warning: ignoring some quantifiers
% 105.04/14.46  Prover 10: Constructing countermodel ...
% 108.02/14.87  Prover 8: gave up
% 108.02/14.88  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 109.95/15.13  Prover 11: Preprocessing ...
% 113.06/15.54  Prover 10: gave up
% 113.37/15.55  Prover 12: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 115.71/15.86  Prover 12: Preprocessing ...
% 118.08/16.18  Prover 12: Proving ...
% 119.38/16.37  Prover 11: Constructing countermodel ...
% 123.72/16.94  Prover 12: stopped
% 123.72/16.94  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 125.41/17.14  Prover 13: Preprocessing ...
% 126.58/17.30  Prover 13: Warning: ignoring some quantifiers
% 126.58/17.36  Prover 13: Constructing countermodel ...
% 131.21/17.88  Prover 6: stopped
% 131.21/17.88  Prover 14: Options:  -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 132.82/18.12  Prover 14: Preprocessing ...
% 132.82/18.24  Prover 13: gave up
% 132.82/18.26  Prover 15: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181
% 135.64/18.48  Prover 14: Proving ...
% 135.64/18.50  Prover 15: Preprocessing ...
% 137.94/18.80  Prover 15: Proving ...
% 206.76/28.01  Prover 4: stopped
% 206.76/28.02  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 208.56/28.29  Prover 16: Preprocessing ...
% 210.30/28.49  Prover 16: Warning: ignoring some quantifiers
% 210.30/28.49  Prover 16: Constructing countermodel ...
% 217.60/29.44  Prover 7: stopped
% 217.60/29.45  Prover 17: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422
% 219.26/29.68  Prover 17: Preprocessing ...
% 221.44/29.97  Prover 17: Proving ...
% 246.17/33.34  Prover 9: stopped
% 246.17/33.34  Prover 18: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170
% 246.55/33.54  Prover 18: Preprocessing ...
% 249.05/33.79  Prover 18: Warning: ignoring some quantifiers
% 249.05/33.80  Prover 18: Constructing countermodel ...
% 261.32/35.53  Prover 18: gave up
% 261.32/35.55  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 263.68/35.79  Prover 19: Preprocessing ...
% 265.85/36.04  Prover 14: stopped
% 265.85/36.04  Prover 19: Warning: ignoring some quantifiers
% 266.05/36.05  Prover 19: Constructing countermodel ...
% 266.05/36.05  Prover 20: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644
% 266.87/36.22  Prover 20: Preprocessing ...
% 268.72/36.45  Prover 20: Proving ...
% 285.35/38.68  Prover 19: stopped
% 285.35/38.68  Prover 21: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991
% 285.35/38.68  Prover 16: stopped
% 286.66/38.85  Prover 21: Preprocessing ...
% 286.86/38.95  Prover 21: Proving ...
%------------------------------------------------------------------------------