%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL391+1 : TPTP v9.3.1. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n011.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 44.11s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL391+1 : 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 : n011.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 : Sat Sep 5 07:46:28 UTC 2026 % 0.09/0.35 % CPUTime : % 0.12/0.37 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. % 0.50/0.57 ________ _____ % 0.50/0.57 ___ __ \_________(_)________________________________ % 0.50/0.57 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.50/0.57 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.50/0.57 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.50/0.57 % 0.50/0.57 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.50/0.57 (2023-06-19) % 0.50/0.57 % 0.50/0.57 (c) Philipp Rümmer, 2009-2023 % 0.50/0.57 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.50/0.57 Amanda Stjerna. % 0.50/0.57 Free software under BSD-3-Clause. % 0.50/0.57 % 0.50/0.57 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.50/0.57 % 0.50/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.50/0.58 Running up to 7 provers in parallel. % 0.50/0.59 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.50/0.59 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.50/0.59 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.50/0.59 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.50/0.59 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.50/0.59 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.50/0.59 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.03/0.91 Prover 4: Preprocessing ... % 2.03/0.92 Prover 1: Preprocessing ... % 2.03/0.95 Prover 3: Preprocessing ... % 2.03/0.95 Prover 2: Preprocessing ... % 2.03/0.95 Prover 0: Preprocessing ... % 2.03/0.95 Prover 5: Preprocessing ... % 2.03/0.96 Prover 6: Preprocessing ... % 3.25/1.14 Prover 3: Constructing countermodel ... % 3.25/1.16 Prover 4: Constructing countermodel ... % 4.08/1.18 Prover 5: Proving ... % 4.29/1.20 Prover 1: Constructing countermodel ... % 4.29/1.20 Prover 0: Proving ... % 4.29/1.20 Prover 6: Constructing countermodel ... % 4.29/1.22 Prover 2: Proving ... % 5.10/1.33 Prover 3: gave up % 5.10/1.33 Prover 6: gave up % 5.10/1.33 Prover 1: gave up % 5.10/1.34 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.10/1.34 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.10/1.34 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.10/1.35 Prover 7: Preprocessing ... % 5.10/1.39 Prover 7: Constructing countermodel ... % 5.10/1.40 Prover 8: Preprocessing ... % 5.88/1.40 Prover 9: Preprocessing ... % 6.64/1.55 Prover 8: Warning: ignoring some quantifiers % 6.64/1.56 Prover 8: Constructing countermodel ... % 6.64/1.56 Prover 9: Constructing countermodel ... % 7.40/1.61 Prover 8: gave up % 7.40/1.61 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.40/1.64 Prover 10: Preprocessing ... % 7.40/1.69 Prover 10: Constructing countermodel ... % 8.22/1.74 Prover 10: gave up % 8.22/1.74 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.22/1.76 Prover 11: Preprocessing ... % 8.99/1.82 Prover 11: Constructing countermodel ... % 9.78/2.00 Prover 4: gave up % 9.78/2.00 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 9.78/2.02 Prover 12: Preprocessing ... % 11.66/2.15 Prover 12: Proving ... % 12.09/2.27 Prover 11: gave up % 12.09/2.28 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.86/2.30 Prover 13: Preprocessing ... % 12.86/2.37 Prover 13: Warning: ignoring some quantifiers % 12.86/2.38 Prover 13: Constructing countermodel ... % 13.69/2.45 Prover 13: gave up % 13.69/2.45 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 13.69/2.49 Prover 14: Preprocessing ... % 14.45/2.58 Prover 14: Proving ... % 34.58/5.08 Prover 12: stopped % 34.58/5.08 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 34.58/5.11 Prover 15: Preprocessing ... % 35.63/5.22 Prover 15: Proving ... % 54.66/7.61 Prover 2: stopped % 54.66/7.62 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 54.66/7.63 Prover 16: Preprocessing ... % 54.66/7.69 Prover 16: Warning: ignoring some quantifiers % 54.66/7.70 Prover 16: Constructing countermodel ... % 56.22/7.80 Prover 16: gave up % 56.22/7.80 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 56.22/7.82 Prover 17: Preprocessing ... % 56.22/7.84 Prover 17: Constructing countermodel ... % 56.22/7.85 Prover 17: gave up % 56.22/7.85 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 56.22/7.86 Prover 18: Preprocessing ... % 56.22/7.89 Prover 18: Warning: ignoring some quantifiers % 56.22/7.89 Prover 18: Constructing countermodel ... % 57.02/7.91 Prover 18: gave up % 57.02/7.93 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 57.02/7.94 Prover 19: Preprocessing ... % 57.02/8.01 Prover 19: Warning: ignoring some quantifiers % 57.02/8.01 Prover 19: Constructing countermodel ... % 58.18/8.08 Prover 19: gave up % 58.18/8.09 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 58.18/8.10 Prover 20: Preprocessing ... % 59.34/8.20 Prover 20: Proving ... % 104.31/13.92 Prover 5: stopped % 104.31/13.93 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 104.31/13.95 Prover 21: Preprocessing ... % 104.31/14.02 Prover 21: Proving ... % 189.17/24.71 Prover 7: stopped % 248.44/33.94 Prover 14: stopped 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