%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n009.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 12:54:43 PM UTC 2026 % Result : Theorem 205.25s 27.29s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.35 % Computer : n009.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 : Sun Sep 6 00:32:06 UTC 2026 % 0.09/0.35 % 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. % 0.54/0.70 ________ _____ % 0.54/0.70 ___ __ \_________(_)________________________________ % 0.54/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.54/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.54/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.54/0.70 % 0.54/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.54/0.70 (2023-06-19) % 0.54/0.70 % 0.54/0.70 (c) Philipp Rümmer, 2009-2023 % 0.54/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.54/0.70 Amanda Stjerna. % 0.54/0.70 Free software under BSD-3-Clause. % 0.54/0.70 % 0.54/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.54/0.70 % 0.68/0.70 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.68/0.72 Running up to 7 provers in parallel. % 0.68/0.73 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.68/0.73 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.68/0.73 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.68/0.73 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.68/0.73 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.68/0.73 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.68/0.73 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 10.28/2.21 Prover 2: Preprocessing ... % 10.28/2.25 Prover 4: Preprocessing ... % 11.90/2.40 Prover 5: Preprocessing ... % 11.90/2.47 Prover 0: Preprocessing ... % 12.67/2.57 Prover 6: Preprocessing ... % 13.46/2.61 Prover 3: Preprocessing ... % 14.25/2.70 Prover 1: Preprocessing ... % 22.05/3.73 Prover 5: Proving ... % 22.05/3.76 Prover 2: Proving ... % 38.57/5.86 Prover 4: Constructing countermodel ... % 39.38/5.99 Prover 0: Proving ... % 40.43/6.11 Prover 4: gave up % 40.43/6.11 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 41.70/6.21 Prover 1: Constructing countermodel ... % 42.50/6.32 Prover 1: gave up % 42.50/6.33 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 42.50/6.40 Prover 3: Constructing countermodel ... % 43.30/6.46 Prover 3: gave up % 43.30/6.47 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 45.63/6.73 Prover 7: Preprocessing ... % 47.23/6.91 Prover 8: Preprocessing ... % 47.23/7.04 Prover 7: Warning: ignoring some quantifiers % 48.38/7.11 Prover 7: Constructing countermodel ... % 48.38/7.11 Prover 9: Preprocessing ... % 51.18/7.41 Prover 6: Proving ... % 57.39/8.25 Prover 8: Warning: ignoring some quantifiers % 57.39/8.26 Prover 8: Constructing countermodel ... % 58.15/8.39 Prover 8: gave up % 58.15/8.39 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 64.68/9.19 Prover 10: Preprocessing ... % 66.77/9.43 Prover 10: Warning: ignoring some quantifiers % 66.77/9.47 Prover 10: Constructing countermodel ... % 67.56/9.51 Prover 10: gave up % 67.56/9.51 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 68.36/9.63 Prover 2: stopped % 68.36/9.64 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 71.79/10.07 Prover 11: Preprocessing ... % 72.54/10.17 Prover 12: Preprocessing ... % 73.00/10.20 Prover 9: Constructing countermodel ... % 73.00/10.30 Prover 9: gave up % 73.79/10.30 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 74.60/10.44 Prover 12: Proving ... % 76.14/10.68 Prover 13: Preprocessing ... % 76.90/10.75 Prover 13: Warning: ignoring some quantifiers % 76.90/10.76 Prover 13: Constructing countermodel ... % 76.90/10.78 Prover 13: gave up % 76.90/10.78 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 78.50/10.96 Prover 14: Preprocessing ... % 79.75/11.16 Prover 11: Constructing countermodel ... % 80.57/11.19 Prover 14: Proving ... % 80.82/11.28 Prover 12: stopped % 80.82/11.28 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 80.82/11.29 Prover 11: gave up % 80.82/11.29 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 83.12/11.59 Prover 16: Preprocessing ... % 83.92/11.66 Prover 16: Warning: ignoring some quantifiers % 83.92/11.68 Prover 16: Constructing countermodel ... % 85.43/11.86 Prover 15: Preprocessing ... % 101.83/13.90 Prover 15: Proving ... % 102.86/14.06 Prover 5: stopped % 102.86/14.06 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 105.74/14.45 Prover 17: Preprocessing ... % 114.35/15.56 Prover 17: Proving ... % 114.35/15.58 Prover 17: gave up % 114.35/15.59 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 117.47/16.00 Prover 18: Preprocessing ... % 122.14/16.51 Prover 16: stopped % 122.14/16.51 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 124.52/16.81 Prover 18: Warning: ignoring some quantifiers % 124.52/16.82 Prover 18: Constructing countermodel ... % 124.52/16.90 Prover 18: gave up % 124.52/16.90 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 126.37/17.04 Prover 19: Preprocessing ... % 127.65/17.28 Prover 20: Preprocessing ... % 128.46/17.36 Prover 20: Proving ... % 133.21/17.97 Prover 6: stopped % 133.21/17.97 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 136.34/18.30 Prover 21: Preprocessing ... % 136.34/18.39 Prover 21: Proving ... % 139.53/18.73 Prover 19: Warning: ignoring some quantifiers % 139.53/18.74 Prover 19: Constructing countermodel ... % 145.81/19.58 Prover 19: stopped % 203.18/26.94 Prover 7: stopped % 205.25/27.29 Prover 20: proved (10372ms) % 205.25/27.29 % 205.25/27.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 205.25/27.29 % 205.25/27.29 Prover 14: stopped % 205.25/27.29 Prover 15: stopped % 205.25/27.29 Prover 21: stopped % 205.88/27.32 Prover 0: stopped % 205.88/27.32 % 205.88/27.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 205.88/27.32 % 205.88/27.32 26618ms %------------------------------------------------------------------------------