%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL657+1.015 : TPTP v9.3.1. Released v4.0.0. % 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 12:54:33 PM UTC 2026 % Result : Unknown 0.16s 46.93s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL657+1.015 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.37 % Computer : n028.cluster.edu % 0.08/0.37 % Model : x86_64 x86_64 % 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.37 % Memory : 8046.5625MB % 0.08/0.37 % OS : Linux 6.8.0-71-generic % 0.08/0.37 % CPULimit : 300 % 0.08/0.37 % WCLimit : 300 % 0.08/0.37 % DateTime : Sat Sep 5 09:02:14 UTC 2026 % 0.08/0.37 % CPUTime : % 0.08/0.39 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. % 0.72/0.70 ________ _____ % 0.72/0.70 ___ __ \_________(_)________________________________ % 0.72/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.72/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.72/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.72/0.70 % 0.72/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.72/0.70 (2023-06-19) % 0.72/0.70 % 0.72/0.70 (c) Philipp Rümmer, 2009-2023 % 0.72/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.72/0.70 Amanda Stjerna. % 0.72/0.70 Free software under BSD-3-Clause. % 0.72/0.70 % 0.72/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.72/0.70 % 0.72/0.70 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.72 Running up to 7 provers in parallel. % 0.72/0.73 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.72/0.73 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.72/0.73 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.72/0.73 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.72/0.73 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.72/0.73 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.72/0.73 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 10.73/2.19 Prover 0: Preprocessing ... % 11.95/2.35 Prover 2: Preprocessing ... % 11.95/2.39 Prover 6: Preprocessing ... % 12.72/2.42 Prover 4: Preprocessing ... % 12.72/2.43 Prover 1: Preprocessing ... % 13.52/2.50 Prover 3: Preprocessing ... % 13.52/2.59 Prover 5: Preprocessing ... % 20.57/3.49 Prover 5: Proving ... % 25.95/4.16 Prover 2: Proving ... % 31.54/4.80 Prover 1: Constructing countermodel ... % 31.54/4.88 Prover 1: gave up % 31.54/4.89 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 32.31/5.04 Prover 3: Constructing countermodel ... % 33.47/5.12 Prover 3: gave up % 33.47/5.12 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 33.47/5.14 Prover 7: Preprocessing ... % 36.25/5.40 Prover 6: Proving ... % 36.99/5.56 Prover 7: Warning: ignoring some quantifiers % 37.78/5.62 Prover 8: Preprocessing ... % 38.58/5.75 Prover 7: Constructing countermodel ... % 39.37/5.83 Prover 7: gave up % 39.37/5.83 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 40.19/5.95 Prover 9: Preprocessing ... % 48.05/6.95 Prover 8: Warning: ignoring some quantifiers % 48.05/7.02 Prover 8: Constructing countermodel ... % 50.31/7.22 Prover 8: gave up % 50.31/7.22 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 53.46/7.66 Prover 10: Preprocessing ... % 55.05/7.86 Prover 10: Warning: ignoring some quantifiers % 57.13/8.15 Prover 10: Constructing countermodel ... % 58.07/8.29 Prover 10: gave up % 58.84/8.33 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 61.91/8.76 Prover 11: Preprocessing ... % 74.18/10.38 Prover 2: stopped % 74.18/10.38 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 75.76/10.54 Prover 12: Preprocessing ... % 77.35/10.72 Prover 12: Proving ... % 88.77/12.25 Prover 12: stopped % 88.77/12.25 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 91.14/12.57 Prover 13: Preprocessing ... % 92.73/12.76 Prover 13: Warning: ignoring some quantifiers % 93.53/12.81 Prover 13: Constructing countermodel ... % 93.53/12.86 Prover 13: gave up % 93.53/12.87 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 95.30/13.11 Prover 14: Preprocessing ... % 96.52/13.29 Prover 14: Proving ... % 103.10/14.07 Prover 5: stopped % 103.10/14.07 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 104.36/14.28 Prover 15: Preprocessing ... % 111.06/15.13 Prover 15: Proving ... % 133.40/17.98 Prover 6: stopped % 133.40/17.98 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 134.96/18.19 Prover 16: Preprocessing ... % 136.46/18.38 Prover 16: Warning: ignoring some quantifiers % 137.28/18.45 Prover 16: Constructing countermodel ... % 138.09/18.52 Prover 16: gave up % 138.09/18.53 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 138.87/18.65 Prover 17: Preprocessing ... % 140.46/18.87 Prover 17: Proving ... % 141.25/18.93 Prover 17: gave up % 141.25/18.93 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 143.25/19.20 Prover 18: Preprocessing ... % 146.77/19.69 Prover 18: Warning: ignoring some quantifiers % 146.77/19.70 Prover 18: Constructing countermodel ... % 147.57/19.73 Prover 18: gave up % 147.57/19.73 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 148.35/19.86 Prover 19: Preprocessing ... % 152.26/20.36 Prover 19: Warning: ignoring some quantifiers % 152.26/20.37 Prover 19: Constructing countermodel ... % 152.26/20.40 Prover 19: gave up % 153.06/20.40 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 153.82/20.59 Prover 20: Preprocessing ... % 155.33/20.77 Prover 20: Proving ... % 165.57/22.01 Prover 9: Constructing countermodel ... % 165.57/22.11 Prover 9: gave up % 165.57/22.11 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 167.77/22.38 Prover 21: Preprocessing ... % 168.57/22.44 Prover 21: Proving ... % 173.35/23.01 Prover 0: Proving ... % 174.49/23.21 Prover 4: Constructing countermodel ... % 176.52/23.49 Prover 4: gave up % 220.32/29.32 Prover 11: Constructing countermodel ... % 221.62/29.56 Prover 11: gave up % 258.78/36.67 Prover 14: stopped %------------------------------------------------------------------------------