%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL394+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 12:54:04 PM UTC 2026 % Result : Unknown 0.15s 42.09s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL394+2 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.35 % Computer : n028.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 18:58:28 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. % 0.28/0.55 ________ _____ % 0.28/0.55 ___ __ \_________(_)________________________________ % 0.28/0.55 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.28/0.55 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.28/0.55 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.28/0.55 % 0.28/0.55 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.28/0.55 (2023-06-19) % 0.28/0.55 % 0.28/0.55 (c) Philipp Rümmer, 2009-2023 % 0.28/0.55 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.28/0.55 Amanda Stjerna. % 0.28/0.55 Free software under BSD-3-Clause. % 0.28/0.56 % 0.28/0.56 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.28/0.56 % 0.28/0.56 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.53/0.57 Running up to 7 provers in parallel. % 0.53/0.58 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.53/0.58 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.53/0.58 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.53/0.58 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.53/0.58 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.53/0.58 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.53/0.58 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.32/1.07 Prover 1: Preprocessing ... % 2.32/1.07 Prover 4: Preprocessing ... % 2.32/1.09 Prover 2: Preprocessing ... % 2.32/1.09 Prover 3: Preprocessing ... % 2.32/1.10 Prover 5: Preprocessing ... % 2.32/1.10 Prover 6: Preprocessing ... % 2.32/1.10 Prover 0: Preprocessing ... % 4.19/1.33 Prover 6: Constructing countermodel ... % 4.19/1.34 Prover 1: Constructing countermodel ... % 4.99/1.40 Prover 4: Constructing countermodel ... % 4.99/1.42 Prover 5: Proving ... % 4.99/1.42 Prover 2: Proving ... % 4.99/1.44 Prover 3: Constructing countermodel ... % 4.99/1.45 Prover 0: Proving ... % 6.55/1.63 Prover 1: gave up % 6.55/1.63 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.55/1.66 Prover 3: gave up % 6.55/1.66 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.55/1.68 Prover 7: Preprocessing ... % 6.55/1.70 Prover 8: Preprocessing ... % 7.34/1.76 Prover 6: gave up % 7.34/1.76 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 7.34/1.78 Prover 9: Preprocessing ... % 8.15/1.83 Prover 7: Constructing countermodel ... % 8.15/1.83 Prover 8: Warning: ignoring some quantifiers % 8.15/1.86 Prover 8: Constructing countermodel ... % 8.91/1.95 Prover 9: Constructing countermodel ... % 8.91/1.99 Prover 8: gave up % 8.91/1.99 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.91/2.01 Prover 10: Preprocessing ... % 10.09/2.06 Prover 4: gave up % 10.09/2.06 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.09/2.07 Prover 11: Preprocessing ... % 10.09/2.11 Prover 9: gave up % 10.09/2.11 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 10.09/2.11 Prover 11: Constructing countermodel ... % 10.09/2.14 Prover 10: Constructing countermodel ... % 10.90/2.16 Prover 12: Preprocessing ... % 10.90/2.17 Prover 7: gave up % 10.90/2.17 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.26/2.21 Prover 10: gave up % 11.26/2.21 Prover 13: Preprocessing ... % 11.26/2.21 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 11.26/2.23 Prover 11: gave up % 11.26/2.24 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 11.26/2.24 Prover 14: Preprocessing ... % 11.26/2.26 Prover 15: Preprocessing ... % 11.26/2.28 Prover 14: Proving ... % 12.02/2.33 Prover 12: Proving ... % 12.02/2.36 Prover 13: Warning: ignoring some quantifiers % 12.02/2.37 Prover 13: Constructing countermodel ... % 12.80/2.41 Prover 15: Proving ... % 12.80/2.47 Prover 13: gave up % 12.80/2.49 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 13.57/2.54 Prover 16: Preprocessing ... % 14.37/2.63 Prover 16: Warning: ignoring some quantifiers % 14.37/2.63 Prover 16: Constructing countermodel ... % 16.74/2.91 Prover 16: gave up % 16.74/2.91 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 16.74/2.94 Prover 17: Preprocessing ... % 16.74/2.98 Prover 17: Constructing countermodel ... % 17.82/3.09 Prover 17: gave up % 17.82/3.10 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 17.82/3.14 Prover 18: Preprocessing ... % 19.05/3.21 Prover 18: Warning: ignoring some quantifiers % 19.05/3.22 Prover 18: Constructing countermodel ... % 19.83/3.33 Prover 18: gave up % 19.83/3.33 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 19.83/3.38 Prover 19: Preprocessing ... % 21.43/3.50 Prover 19: Warning: ignoring some quantifiers % 21.43/3.51 Prover 19: Constructing countermodel ... % 22.23/3.65 Prover 19: gave up % 22.23/3.67 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 23.01/3.70 Prover 20: Preprocessing ... % 23.79/3.84 Prover 20: Proving ... % 32.49/4.96 Prover 12: stopped % 32.49/4.96 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 32.49/4.99 Prover 21: Preprocessing ... % 32.49/5.06 Prover 21: Proving ... 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