%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL473+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 : n013.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 12:54:13 PM UTC 2026 % Result : Unknown 0.14s 39.66s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL473+1 : TPTP v9.3.1. Bugfixed v9.2.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.34 % Computer : n013.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Fri Sep 4 22:02:05 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.36 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. % 0.69/0.70 ________ _____ % 0.69/0.70 ___ __ \_________(_)________________________________ % 0.69/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.69/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.69/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.69/0.70 % 0.69/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.69/0.70 (2023-06-19) % 0.69/0.70 % 0.69/0.70 (c) Philipp Rümmer, 2009-2023 % 0.69/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.69/0.70 Amanda Stjerna. % 0.69/0.70 Free software under BSD-3-Clause. % 0.69/0.70 % 0.69/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.69/0.70 % 0.69/0.71 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.69/0.73 Running up to 7 provers in parallel. % 0.69/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.69/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.69/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.69/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.69/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.69/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.69/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.09/1.32 Prover 4: Preprocessing ... % 4.09/1.32 Prover 1: Preprocessing ... % 4.82/1.40 Prover 5: Preprocessing ... % 4.82/1.40 Prover 2: Preprocessing ... % 4.82/1.40 Prover 6: Preprocessing ... % 4.82/1.40 Prover 0: Preprocessing ... % 4.82/1.40 Prover 3: Preprocessing ... % 11.81/2.34 Prover 5: Proving ... % 11.81/2.39 Prover 3: Constructing countermodel ... % 11.81/2.39 Prover 6: Constructing countermodel ... % 12.62/2.43 Prover 1: Constructing countermodel ... % 12.62/2.48 Prover 4: Constructing countermodel ... % 13.38/2.57 Prover 0: Proving ... % 14.18/2.69 Prover 2: Proving ... % 19.67/3.36 Prover 1: gave up % 19.67/3.37 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 21.25/3.52 Prover 7: Preprocessing ... % 24.47/3.95 Prover 7: Constructing countermodel ... % 69.28/9.60 Prover 2: stopped % 69.28/9.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 70.06/9.73 Prover 8: Preprocessing ... % 71.67/10.01 Prover 8: Warning: ignoring some quantifiers % 71.67/10.02 Prover 8: Constructing countermodel ... % 76.22/10.60 Prover 8: gave up % 77.05/10.60 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 77.05/10.69 Prover 9: Preprocessing ... % 79.41/11.04 Prover 9: Constructing countermodel ... % 104.34/14.07 Prover 5: stopped % 104.34/14.07 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 104.34/14.11 Prover 10: Preprocessing ... % 106.19/14.31 Prover 10: Constructing countermodel ... % 109.27/14.71 Prover 10: gave up % 109.27/14.71 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 110.07/14.80 Prover 11: Preprocessing ... % 111.94/15.11 Prover 11: Constructing countermodel ... % 113.16/15.21 Prover 6: gave up % 113.16/15.21 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 113.16/15.25 Prover 12: Preprocessing ... % 113.97/15.37 Prover 12: Proving ... % 123.97/16.60 Prover 12: stopped % 123.97/16.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 123.97/16.63 Prover 13: Preprocessing ... % 123.97/16.69 Prover 13: Constructing countermodel ... % 124.76/16.78 Prover 13: gave up % 124.76/16.78 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 125.56/16.81 Prover 14: Preprocessing ... % 125.56/16.88 Prover 14: Proving ... % 201.54/26.65 Prover 7: stopped % 201.54/26.65 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 201.54/26.67 Prover 15: Preprocessing ... % 202.28/26.71 Prover 15: Proving ... % 212.90/28.09 Prover 4: stopped % 212.90/28.09 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 212.90/28.13 Prover 16: Preprocessing ... % 213.74/28.18 Prover 16: Warning: ignoring some quantifiers % 213.74/28.18 Prover 16: Constructing countermodel ... % 224.94/29.64 Prover 16: gave up % 224.94/29.64 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 224.94/29.68 Prover 17: Preprocessing ... % 225.75/29.74 Prover 17: Constructing countermodel ... % 228.55/30.10 Prover 17: gave up % 228.55/30.10 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 228.55/30.13 Prover 18: Preprocessing ... % 229.45/30.19 Prover 18: Warning: ignoring some quantifiers % 229.45/30.19 Prover 18: Constructing countermodel ... % 241.40/31.72 Prover 9: stopped % 241.40/31.72 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 241.40/31.76 Prover 19: Preprocessing ... % 242.18/31.83 Prover 19: Constructing countermodel ... % 243.01/31.94 Prover 19: gave up % 243.01/31.95 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 243.01/31.99 Prover 20: Preprocessing ... % 245.17/32.20 Prover 20: Proving ... % 284.77/37.42 Prover 14: stopped % 284.77/37.42 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 284.77/37.46 Prover 21: Preprocessing ... % 285.59/37.54 Prover 21: Proving ... 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