%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL370+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 : n007.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 0.22s 41.17s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL370+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.06 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.16/0.42 % Computer : n007.cluster.edu % 0.16/0.42 % Model : x86_64 x86_64 % 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.42 % Memory : 8046.5625MB % 0.16/0.42 % OS : Linux 6.8.0-71-generic % 0.16/0.42 % CPULimit : 300 % 0.16/0.42 % WCLimit : 300 % 0.16/0.42 % DateTime : Sat Sep 5 17:08:39 UTC 2026 % 0.16/0.43 % CPUTime : % 0.16/0.44 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. % 0.80/0.88 ________ _____ % 0.80/0.88 ___ __ \_________(_)________________________________ % 0.80/0.88 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.80/0.88 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.80/0.88 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.80/0.88 % 0.80/0.88 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.80/0.88 (2023-06-19) % 0.80/0.88 % 0.80/0.88 (c) Philipp Rümmer, 2009-2023 % 0.80/0.88 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.80/0.88 Amanda Stjerna. % 0.80/0.88 Free software under BSD-3-Clause. % 0.80/0.88 % 0.80/0.88 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.80/0.88 % 0.80/0.88 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 1.03/0.91 Running up to 7 provers in parallel. % 1.03/0.92 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 1.03/0.92 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 1.03/0.92 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 1.03/0.92 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 1.03/0.92 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 1.03/0.92 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 1.03/0.92 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.61/1.38 Prover 4: Preprocessing ... % 2.61/1.38 Prover 1: Preprocessing ... % 3.40/1.47 Prover 6: Preprocessing ... % 3.40/1.47 Prover 2: Preprocessing ... % 3.40/1.47 Prover 5: Preprocessing ... % 3.40/1.47 Prover 0: Preprocessing ... % 3.40/1.47 Prover 3: Preprocessing ... % 5.70/1.73 Prover 1: Constructing countermodel ... % 5.70/1.74 Prover 6: Constructing countermodel ... % 5.70/1.77 Prover 3: Constructing countermodel ... % 6.46/1.81 Prover 4: Constructing countermodel ... % 6.46/1.83 Prover 5: Proving ... % 6.46/1.89 Prover 0: Proving ... % 6.46/1.90 Prover 2: Proving ... % 7.24/2.08 Prover 6: gave up % 7.24/2.08 Prover 1: gave up % 7.24/2.08 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.24/2.08 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.58/2.10 Prover 3: gave up % 8.58/2.10 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 8.58/2.13 Prover 8: Preprocessing ... % 8.58/2.16 Prover 7: Preprocessing ... % 8.58/2.16 Prover 9: Preprocessing ... % 9.53/2.24 Prover 8: Warning: ignoring some quantifiers % 9.53/2.27 Prover 8: Constructing countermodel ... % 10.33/2.33 Prover 7: Constructing countermodel ... % 10.33/2.38 Prover 9: Constructing countermodel ... % 10.33/2.39 Prover 8: gave up % 10.33/2.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.13/2.46 Prover 10: Preprocessing ... % 11.13/2.47 Prover 7: gave up % 11.13/2.48 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.13/2.49 Prover 4: gave up % 11.13/2.49 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 11.95/2.52 Prover 11: Preprocessing ... % 11.95/2.53 Prover 12: Preprocessing ... % 12.71/2.63 Prover 11: Constructing countermodel ... % 12.71/2.64 Prover 9: gave up % 12.71/2.64 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.71/2.67 Prover 10: Constructing countermodel ... % 13.51/2.70 Prover 13: Preprocessing ... % 13.51/2.76 Prover 12: Proving ... % 13.51/2.80 Prover 10: gave up % 13.51/2.80 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 14.31/2.83 Prover 13: Warning: ignoring some quantifiers % 14.31/2.84 Prover 14: Preprocessing ... % 14.31/2.85 Prover 13: Constructing countermodel ... % 15.10/3.01 Prover 14: Proving ... % 15.10/3.02 Prover 13: gave up % 15.10/3.02 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 15.10/3.05 Prover 11: gave up % 15.10/3.06 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 15.10/3.08 Prover 15: Preprocessing ... % 16.62/3.11 Prover 16: Preprocessing ... % 17.50/3.22 Prover 16: Warning: ignoring some quantifiers % 17.50/3.23 Prover 16: Constructing countermodel ... % 18.22/3.30 Prover 15: Proving ... % 19.01/3.40 Prover 16: gave up % 19.01/3.41 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 19.01/3.44 Prover 17: Preprocessing ... % 19.81/3.51 Prover 17: Constructing countermodel ... % 19.81/3.57 Prover 17: gave up % 19.81/3.57 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 19.81/3.60 Prover 18: Preprocessing ... % 20.64/3.67 Prover 18: Warning: ignoring some quantifiers % 20.64/3.68 Prover 18: Constructing countermodel ... % 21.41/3.75 Prover 18: gave up % 21.41/3.76 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 22.20/3.82 Prover 19: Preprocessing ... % 23.02/3.98 Prover 19: Warning: ignoring some quantifiers % 23.02/3.99 Prover 19: Constructing countermodel ... % 23.80/4.10 Prover 19: gave up % 23.80/4.10 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 23.80/4.17 Prover 20: Preprocessing ... % 26.20/4.37 Prover 20: Proving ... % 32.48/5.30 Prover 12: stopped % 33.99/5.30 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 33.99/5.35 Prover 21: Preprocessing ... % 34.86/5.48 Prover 21: Proving ... 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