%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL376+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 : n002.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 12:54:02 PM UTC 2026 % Result : Unknown 0.24s 46.95s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.05 % Problem : LCL376+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.06 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.18/0.43 % Computer : n002.cluster.edu % 0.18/0.43 % Model : x86_64 x86_64 % 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.43 % Memory : 8046.5625MB % 0.18/0.43 % OS : Linux 6.8.0-71-generic % 0.18/0.43 % CPULimit : 300 % 0.18/0.43 % WCLimit : 300 % 0.18/0.43 % DateTime : Sat Sep 5 21:56:06 UTC 2026 % 0.18/0.44 % CPUTime : % 0.18/0.46 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. % 1.03/0.92 ________ _____ % 1.03/0.92 ___ __ \_________(_)________________________________ % 1.03/0.92 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 1.03/0.92 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 1.03/0.92 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 1.03/0.92 % 1.03/0.92 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 1.03/0.92 (2023-06-19) % 1.03/0.92 % 1.03/0.92 (c) Philipp Rümmer, 2009-2023 % 1.03/0.92 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 1.03/0.92 Amanda Stjerna. % 1.03/0.92 Free software under BSD-3-Clause. % 1.03/0.92 % 1.03/0.92 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 1.03/0.92 % 1.03/0.92 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 1.03/0.94 Running up to 7 provers in parallel. % 1.03/0.96 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 1.03/0.96 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 1.03/0.96 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 1.03/0.96 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 1.03/0.96 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 1.03/0.96 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 1.03/0.96 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.06/1.54 Prover 4: Preprocessing ... % 3.06/1.54 Prover 1: Preprocessing ... % 3.72/1.64 Prover 6: Preprocessing ... % 3.72/1.64 Prover 0: Preprocessing ... % 3.72/1.64 Prover 5: Preprocessing ... % 3.72/1.64 Prover 3: Preprocessing ... % 3.72/1.65 Prover 2: Preprocessing ... % 5.22/1.89 Prover 4: Constructing countermodel ... % 5.22/1.90 Prover 6: Constructing countermodel ... % 5.22/1.90 Prover 1: Constructing countermodel ... % 5.22/1.90 Prover 3: Constructing countermodel ... % 5.95/1.90 Prover 0: Proving ... % 5.95/1.90 Prover 5: Proving ... % 5.95/1.95 Prover 2: Proving ... % 7.01/2.10 Prover 3: gave up % 7.01/2.11 Prover 1: gave up % 7.01/2.11 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.01/2.11 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.01/2.11 Prover 6: gave up % 7.01/2.12 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 7.82/2.16 Prover 7: Preprocessing ... % 7.82/2.16 Prover 9: Preprocessing ... % 7.82/2.18 Prover 8: Preprocessing ... % 8.15/2.22 Prover 7: Constructing countermodel ... % 8.15/2.28 Prover 8: Warning: ignoring some quantifiers % 8.15/2.29 Prover 8: Constructing countermodel ... % 8.93/2.33 Prover 9: Constructing countermodel ... % 8.93/2.36 Prover 8: gave up % 8.93/2.36 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.74/2.41 Prover 10: Preprocessing ... % 10.56/2.51 Prover 10: Constructing countermodel ... % 10.56/2.55 Prover 10: gave up % 10.56/2.56 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.56/2.57 Prover 4: gave up % 10.56/2.58 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 11.31/2.61 Prover 11: Preprocessing ... % 11.31/2.62 Prover 12: Preprocessing ... % 11.31/2.69 Prover 11: Constructing countermodel ... % 12.09/2.74 Prover 12: Proving ... % 12.88/2.87 Prover 11: gave up % 12.88/2.88 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.66/2.90 Prover 13: Preprocessing ... % 13.66/2.97 Prover 13: Warning: ignoring some quantifiers % 13.66/2.98 Prover 13: Constructing countermodel ... % 15.28/3.15 Prover 13: gave up % 15.28/3.16 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 15.28/3.19 Prover 14: Preprocessing ... % 16.06/3.29 Prover 14: Proving ... % 33.35/5.42 Prover 12: stopped % 33.35/5.42 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 33.35/5.48 Prover 15: Preprocessing ... % 34.96/5.63 Prover 15: Proving ... % 53.10/7.97 Prover 2: stopped % 53.10/7.97 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 53.96/8.02 Prover 16: Preprocessing ... % 54.70/8.11 Prover 16: Warning: ignoring some quantifiers % 54.70/8.12 Prover 16: Constructing countermodel ... % 56.32/8.36 Prover 16: gave up % 56.32/8.37 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 56.32/8.43 Prover 17: Preprocessing ... % 56.32/8.53 Prover 17: Constructing countermodel ... % 58.16/8.56 Prover 17: gave up % 58.16/8.56 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 58.16/8.61 Prover 18: Preprocessing ... % 58.99/8.68 Prover 18: Warning: ignoring some quantifiers % 58.99/8.69 Prover 18: Constructing countermodel ... % 59.41/8.75 Prover 18: gave up % 59.41/8.75 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 59.41/8.80 Prover 19: Preprocessing ... % 60.21/8.88 Prover 19: Warning: ignoring some quantifiers % 60.21/8.89 Prover 19: Constructing countermodel ... % 61.04/8.96 Prover 19: gave up % 61.04/8.97 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 61.81/9.00 Prover 20: Preprocessing ... % 62.60/9.10 Prover 20: Proving ... % 102.95/14.30 Prover 5: stopped % 102.95/14.30 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 103.71/14.34 Prover 21: Preprocessing ... % 104.48/14.40 Prover 21: Proving ... % 189.83/25.28 Prover 7: stopped % 217.00/28.81 Prover 9: stopped % 246.48/33.97 Prover 14: stopped %------------------------------------------------------------------------------