%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL680+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n010.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 12:54:41 PM UTC 2026 % Result : Unknown 0.14s 40.53s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL680+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.35 % Computer : n010.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Fri Sep 4 17:01:38 UTC 2026 % 0.08/0.35 % 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. % 0.71/0.71 ________ _____ % 0.71/0.71 ___ __ \_________(_)________________________________ % 0.71/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.71/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.71/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.71/0.71 % 0.71/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.71/0.71 (2023-06-19) % 0.71/0.71 % 0.71/0.71 (c) Philipp Rümmer, 2009-2023 % 0.71/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.71/0.71 Amanda Stjerna. % 0.71/0.71 Free software under BSD-3-Clause. % 0.71/0.71 % 0.71/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.71/0.71 % 0.71/0.71 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.71/0.73 Running up to 7 provers in parallel. % 0.71/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.71/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.71/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.71/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.71/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 11.08/2.21 Prover 1: Preprocessing ... % 11.08/2.27 Prover 4: Preprocessing ... % 11.08/2.30 Prover 0: Preprocessing ... % 11.08/2.30 Prover 3: Preprocessing ... % 11.08/2.30 Prover 5: Preprocessing ... % 11.08/2.30 Prover 2: Preprocessing ... % 11.85/2.30 Prover 6: Preprocessing ... % 21.29/3.52 Prover 2: Proving ... % 21.29/3.52 Prover 5: Proving ... % 28.36/4.41 Prover 3: Constructing countermodel ... % 28.36/4.45 Prover 1: Constructing countermodel ... % 28.36/4.49 Prover 6: Proving ... % 37.78/5.63 Prover 3: gave up % 37.78/5.64 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 39.35/5.89 Prover 1: gave up % 39.35/5.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 41.18/6.10 Prover 7: Preprocessing ... % 41.95/6.18 Prover 8: Preprocessing ... % 43.27/6.33 Prover 7: Warning: ignoring some quantifiers % 43.27/6.39 Prover 7: Constructing countermodel ... % 44.07/6.47 Prover 7: gave up % 44.07/6.47 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 45.68/6.68 Prover 8: Warning: ignoring some quantifiers % 46.44/6.70 Prover 8: Constructing countermodel ... % 47.99/6.94 Prover 9: Preprocessing ... % 51.93/7.41 Prover 8: gave up % 51.93/7.42 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 55.89/7.93 Prover 10: Preprocessing ... % 57.75/8.16 Prover 10: Warning: ignoring some quantifiers % 58.15/8.24 Prover 10: Constructing countermodel ... % 58.15/8.28 Prover 10: gave up % 58.15/8.28 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 60.54/8.52 Prover 11: Preprocessing ... % 79.34/11.03 Prover 2: stopped % 79.34/11.03 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 84.89/11.61 Prover 12: Preprocessing ... % 88.32/12.06 Prover 12: Proving ... % 93.54/12.72 Prover 12: stopped % 93.54/12.73 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 96.10/13.11 Prover 13: Preprocessing ... % 96.93/13.19 Prover 13: Warning: ignoring some quantifiers % 97.44/13.21 Prover 13: Constructing countermodel ... % 97.44/13.22 Prover 13: gave up % 97.44/13.23 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 100.57/13.64 Prover 14: Preprocessing ... % 102.96/13.96 Prover 14: Proving ... % 104.02/14.08 Prover 5: stopped % 104.02/14.09 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 106.90/14.46 Prover 15: Preprocessing ... % 110.85/14.92 Prover 15: Proving ... % 134.38/17.99 Prover 6: stopped % 134.38/17.99 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 137.38/18.35 Prover 16: Preprocessing ... % 138.17/18.43 Prover 16: Warning: ignoring some quantifiers % 138.17/18.45 Prover 16: Constructing countermodel ... % 138.17/18.47 Prover 16: gave up % 138.17/18.47 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 140.44/18.73 Prover 17: Preprocessing ... % 141.24/18.88 Prover 17: Proving ... % 212.98/28.07 Prover 4: stopped % 212.98/28.07 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 214.77/28.31 Prover 18: Preprocessing ... % 215.56/28.48 Prover 18: Warning: ignoring some quantifiers % 215.56/28.49 Prover 18: Constructing countermodel ... % 217.18/28.62 Prover 18: gave up % 217.18/28.62 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 218.76/28.84 Prover 19: Preprocessing ... % 219.55/29.01 Prover 19: Warning: ignoring some quantifiers % 219.55/29.02 Prover 19: Constructing countermodel ... % 240.93/31.73 Prover 19: stopped % 240.93/31.73 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 242.53/32.01 Prover 20: Preprocessing ... % 243.49/32.11 Prover 20: Proving ... % 246.28/32.41 Prover 17: stopped % 246.28/32.41 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 247.89/32.64 Prover 21: Preprocessing ... % 247.89/32.68 Prover 21: Proving ... % 279.94/37.08 Prover 14: stopped 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