%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL372+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 : n028.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 0.15s 44.87s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL372+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.35 % Computer : n028.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.35 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Fri Sep 4 13:31:28 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.37 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/sandbox/benchmark/theBenchmark.p ... % 0.69/0.73 Running up to 7 provers in parallel. % 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 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 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 % 2.11/1.08 Prover 4: Preprocessing ... % 2.11/1.08 Prover 1: Preprocessing ... % 2.11/1.12 Prover 5: Preprocessing ... % 2.11/1.12 Prover 3: Preprocessing ... % 2.11/1.13 Prover 0: Preprocessing ... % 2.11/1.13 Prover 2: Preprocessing ... % 2.11/1.13 Prover 6: Preprocessing ... % 4.05/1.35 Prover 6: Constructing countermodel ... % 4.05/1.38 Prover 1: Constructing countermodel ... % 4.05/1.38 Prover 3: Constructing countermodel ... % 4.84/1.43 Prover 0: Proving ... % 4.84/1.43 Prover 5: Proving ... % 4.84/1.44 Prover 2: Proving ... % 4.84/1.45 Prover 4: Constructing countermodel ... % 6.42/1.60 Prover 1: gave up % 6.42/1.60 Prover 3: gave up % 6.42/1.60 Prover 6: gave up % 6.42/1.61 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.42/1.61 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.42/1.61 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.42/1.63 Prover 9: Preprocessing ... % 6.42/1.64 Prover 7: Preprocessing ... % 6.42/1.66 Prover 8: Preprocessing ... % 7.22/1.70 Prover 9: Constructing countermodel ... % 7.22/1.77 Prover 7: Constructing countermodel ... % 7.22/1.78 Prover 9: gave up % 7.22/1.79 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.22/1.79 Prover 8: Warning: ignoring some quantifiers % 7.98/1.81 Prover 8: Constructing countermodel ... % 7.98/1.83 Prover 10: Preprocessing ... % 7.98/1.87 Prover 7: gave up % 7.98/1.88 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.98/1.89 Prover 11: Preprocessing ... % 8.79/1.91 Prover 8: gave up % 8.79/1.91 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 8.79/1.94 Prover 12: Preprocessing ... % 8.79/1.97 Prover 10: Constructing countermodel ... % 8.79/1.98 Prover 11: Constructing countermodel ... % 8.79/2.02 Prover 12: Proving ... % 9.99/2.08 Prover 10: gave up % 9.99/2.09 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.99/2.11 Prover 13: Preprocessing ... % 10.80/2.19 Prover 13: Warning: ignoring some quantifiers % 11.12/2.21 Prover 13: Constructing countermodel ... % 11.12/2.23 Prover 4: gave up % 11.12/2.23 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 11.12/2.27 Prover 14: Preprocessing ... % 11.12/2.28 Prover 13: gave up % 11.12/2.28 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 11.88/2.32 Prover 11: gave up % 11.88/2.32 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 11.88/2.32 Prover 15: Preprocessing ... % 11.88/2.37 Prover 16: Preprocessing ... % 11.88/2.39 Prover 14: Proving ... % 12.67/2.41 Prover 15: Proving ... % 12.67/2.45 Prover 16: Warning: ignoring some quantifiers % 12.67/2.45 Prover 16: Constructing countermodel ... % 13.47/2.54 Prover 16: gave up % 13.47/2.55 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 13.47/2.57 Prover 17: Preprocessing ... % 14.29/2.62 Prover 17: Constructing countermodel ... % 15.06/2.71 Prover 17: gave up % 15.06/2.71 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 15.06/2.74 Prover 18: Preprocessing ... % 15.06/2.78 Prover 18: Warning: ignoring some quantifiers % 15.06/2.79 Prover 18: Constructing countermodel ... % 15.81/2.88 Prover 18: gave up % 15.81/2.88 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 16.62/2.90 Prover 19: Preprocessing ... % 16.62/2.96 Prover 19: Warning: ignoring some quantifiers % 16.62/2.97 Prover 19: Constructing countermodel ... % 16.62/3.03 Prover 19: gave up % 16.62/3.04 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 17.85/3.06 Prover 20: Preprocessing ... % 17.85/3.16 Prover 20: Proving ... % 33.67/5.13 Prover 12: stopped % 33.67/5.13 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 33.67/5.17 Prover 21: Preprocessing ... % 34.52/5.24 Prover 21: Proving ... % 171.41/23.47 Prover 2: stopped 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