%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL420+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 12:54:07 PM UTC 2026 % Result : Unknown 0.23s 43.15s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL420+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.06 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.42 % Computer : n027.cluster.edu % 0.15/0.42 % Model : x86_64 x86_64 % 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.42 % Memory : 8046.5625MB % 0.15/0.42 % OS : Linux 6.8.0-71-generic % 0.15/0.42 % CPULimit : 300 % 0.15/0.42 % WCLimit : 300 % 0.15/0.42 % DateTime : Fri Sep 4 22:16:57 UTC 2026 % 0.15/0.43 % CPUTime : % 0.15/0.45 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. % 0.79/0.89 ________ _____ % 0.79/0.89 ___ __ \_________(_)________________________________ % 0.79/0.89 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.79/0.89 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.79/0.89 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.79/0.89 % 0.79/0.89 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.79/0.89 (2023-06-19) % 0.79/0.89 % 0.79/0.89 (c) Philipp Rümmer, 2009-2023 % 0.79/0.89 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.79/0.89 Amanda Stjerna. % 0.79/0.89 Free software under BSD-3-Clause. % 0.79/0.89 % 0.79/0.89 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.79/0.89 % 0.79/0.90 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 1.00/0.92 Running up to 7 provers in parallel. % 1.00/0.94 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 1.00/0.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 1.00/0.94 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 1.00/0.94 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 1.00/0.94 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 1.00/0.94 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 1.00/0.94 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.20/1.44 Prover 4: Preprocessing ... % 3.20/1.45 Prover 1: Preprocessing ... % 3.93/1.54 Prover 6: Preprocessing ... % 3.93/1.54 Prover 3: Preprocessing ... % 3.93/1.54 Prover 5: Preprocessing ... % 3.93/1.54 Prover 2: Preprocessing ... % 3.93/1.54 Prover 0: Preprocessing ... % 7.05/1.96 Prover 4: Constructing countermodel ... % 7.05/1.96 Prover 1: Constructing countermodel ... % 7.05/1.97 Prover 3: Constructing countermodel ... % 7.05/1.98 Prover 6: Constructing countermodel ... % 7.05/2.04 Prover 5: Proving ... % 7.05/2.04 Prover 0: Proving ... % 8.21/2.16 Prover 2: Proving ... % 11.67/2.58 Prover 3: gave up % 11.67/2.58 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.47/2.62 Prover 1: gave up % 12.47/2.63 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.47/2.68 Prover 7: Preprocessing ... % 13.24/2.71 Prover 8: Preprocessing ... % 14.05/2.90 Prover 8: Warning: ignoring some quantifiers % 14.85/2.92 Prover 8: Constructing countermodel ... % 14.85/2.94 Prover 7: Constructing countermodel ... % 16.40/3.13 Prover 8: gave up % 16.40/3.14 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 17.23/3.23 Prover 9: Preprocessing ... % 19.56/3.56 Prover 9: Constructing countermodel ... % 20.35/3.64 Prover 4: gave up % 20.35/3.64 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 21.17/3.73 Prover 10: Preprocessing ... % 21.17/3.74 Prover 6: gave up % 21.17/3.75 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 21.94/3.83 Prover 11: Preprocessing ... % 21.94/3.89 Prover 10: Constructing countermodel ... % 23.57/4.06 Prover 9: gave up % 23.57/4.06 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 23.57/4.08 Prover 10: gave up % 23.57/4.09 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 23.57/4.09 Prover 11: Constructing countermodel ... % 23.57/4.17 Prover 13: Preprocessing ... % 23.57/4.18 Prover 12: Preprocessing ... % 26.05/4.39 Prover 13: Warning: ignoring some quantifiers % 26.65/4.43 Prover 13: Constructing countermodel ... % 26.65/4.49 Prover 12: Proving ... % 27.44/4.54 Prover 13: gave up % 27.44/4.54 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 27.44/4.56 Prover 11: gave up % 27.44/4.56 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 27.44/4.59 Prover 15: Preprocessing ... % 27.44/4.59 Prover 14: Preprocessing ... % 29.03/4.75 Prover 14: Proving ... % 29.03/4.77 Prover 15: Proving ... % 83.63/11.81 Prover 7: gave up % 83.63/11.82 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 85.42/11.88 Prover 16: Preprocessing ... % 86.23/11.98 Prover 16: Warning: ignoring some quantifiers % 86.23/11.98 Prover 16: Constructing countermodel ... % 91.57/12.69 Prover 16: gave up % 92.36/12.70 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 92.36/12.74 Prover 17: Preprocessing ... % 92.36/12.78 Prover 17: Constructing countermodel ... % 92.36/12.84 Prover 17: gave up % 92.36/12.85 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 92.36/12.90 Prover 18: Preprocessing ... % 94.08/12.97 Prover 18: Warning: ignoring some quantifiers % 94.08/12.97 Prover 18: Constructing countermodel ... % 95.48/13.11 Prover 18: gave up % 95.48/13.12 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 95.48/13.17 Prover 19: Preprocessing ... % 96.31/13.28 Prover 19: Warning: ignoring some quantifiers % 96.31/13.29 Prover 19: Constructing countermodel ... % 97.07/13.33 Prover 12: stopped % 97.07/13.33 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 97.07/13.39 Prover 20: Preprocessing ... % 97.91/13.46 Prover 19: gave up % 97.91/13.47 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 98.66/13.52 Prover 21: Preprocessing ... % 98.66/13.55 Prover 20: Proving ... % 99.47/13.60 Prover 21: Proving ... % 198.06/26.66 Prover 2: stopped %------------------------------------------------------------------------------