%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL369+2 : TPTP v9.3.1. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n027.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 12:54:01 PM UTC 2026 % Result : Unknown 0.16s 42.24s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL369+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n027.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 07:47:43 UTC 2026 % 0.09/0.37 % CPUTime : % 0.09/0.39 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. % 0.68/0.71 ________ _____ % 0.68/0.71 ___ __ \_________(_)________________________________ % 0.68/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.68/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.68/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.68/0.72 % 0.68/0.72 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.68/0.72 (2023-06-19) % 0.68/0.72 % 0.68/0.72 (c) Philipp Rümmer, 2009-2023 % 0.68/0.72 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.68/0.72 Amanda Stjerna. % 0.68/0.72 Free software under BSD-3-Clause. % 0.68/0.72 % 0.68/0.72 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.68/0.72 % 0.68/0.72 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.68/0.74 Running up to 7 provers in parallel. % 0.68/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.68/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.68/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.68/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.68/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.68/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.68/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.34/1.23 Prover 1: Preprocessing ... % 2.34/1.23 Prover 4: Preprocessing ... % 2.34/1.26 Prover 6: Preprocessing ... % 2.34/1.26 Prover 5: Preprocessing ... % 2.34/1.26 Prover 0: Preprocessing ... % 2.34/1.26 Prover 3: Preprocessing ... % 2.34/1.26 Prover 2: Preprocessing ... % 4.70/1.53 Prover 6: Constructing countermodel ... % 4.70/1.53 Prover 5: Proving ... % 4.70/1.53 Prover 1: Constructing countermodel ... % 4.70/1.54 Prover 0: Proving ... % 4.70/1.54 Prover 2: Proving ... % 4.70/1.55 Prover 3: Constructing countermodel ... % 4.70/1.57 Prover 4: Constructing countermodel ... % 6.19/1.78 Prover 1: gave up % 6.19/1.78 Prover 6: gave up % 6.19/1.79 Prover 3: gave up % 6.19/1.79 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.19/1.79 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.19/1.79 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.97/1.82 Prover 9: Preprocessing ... % 6.97/1.82 Prover 8: Preprocessing ... % 6.97/1.84 Prover 7: Preprocessing ... % 6.97/1.87 Prover 8: Warning: ignoring some quantifiers % 6.97/1.89 Prover 8: Constructing countermodel ... % 7.74/1.92 Prover 7: Constructing countermodel ... % 7.74/1.96 Prover 9: Constructing countermodel ... % 7.74/1.96 Prover 8: gave up % 7.74/1.96 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.74/1.99 Prover 10: Preprocessing ... % 7.74/2.00 Prover 7: gave up % 7.74/2.01 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.74/2.03 Prover 11: Preprocessing ... % 8.87/2.10 Prover 11: Constructing countermodel ... % 8.87/2.12 Prover 10: Constructing countermodel ... % 8.87/2.12 Prover 4: gave up % 8.87/2.12 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 8.87/2.15 Prover 12: Preprocessing ... % 9.69/2.18 Prover 10: gave up % 9.69/2.18 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.69/2.19 Prover 9: gave up % 9.69/2.19 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 10.07/2.25 Prover 14: Preprocessing ... % 10.07/2.25 Prover 13: Preprocessing ... % 10.85/2.30 Prover 12: Proving ... % 10.85/2.34 Prover 13: Warning: ignoring some quantifiers % 10.85/2.36 Prover 13: Constructing countermodel ... % 11.64/2.41 Prover 14: Proving ... % 11.64/2.41 Prover 11: gave up % 11.64/2.41 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 11.64/2.43 Prover 15: Preprocessing ... % 11.64/2.44 Prover 13: gave up % 11.64/2.45 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 11.64/2.48 Prover 16: Preprocessing ... % 12.45/2.55 Prover 15: Proving ... % 12.45/2.55 Prover 16: Warning: ignoring some quantifiers % 12.45/2.55 Prover 16: Constructing countermodel ... % 13.22/2.66 Prover 16: gave up % 13.22/2.67 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 14.01/2.71 Prover 17: Preprocessing ... % 14.01/2.79 Prover 17: Constructing countermodel ... % 14.78/2.82 Prover 17: gave up % 14.78/2.83 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 14.78/2.86 Prover 18: Preprocessing ... % 15.60/2.94 Prover 18: Warning: ignoring some quantifiers % 15.60/2.96 Prover 18: Constructing countermodel ... % 15.60/3.04 Prover 18: gave up % 15.60/3.05 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 16.78/3.10 Prover 19: Preprocessing ... % 17.57/3.19 Prover 19: Warning: ignoring some quantifiers % 17.87/3.20 Prover 19: Constructing countermodel ... % 18.68/3.32 Prover 19: gave up % 18.68/3.33 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 18.68/3.37 Prover 20: Preprocessing ... % 19.45/3.49 Prover 20: Proving ... % 31.29/5.05 Prover 12: stopped % 31.29/5.05 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 31.29/5.07 Prover 21: Preprocessing ... % 32.66/5.09 Prover 21: Proving ... 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