%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n020.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 12:54:39 PM UTC 2026 % Result : Theorem 201.98s 26.60s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.07/0.34 % Computer : n020.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sat Sep 5 21:12:42 UTC 2026 % 0.07/0.35 % CPUTime : % 0.12/0.36 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. % 0.72/0.71 ________ _____ % 0.72/0.71 ___ __ \_________(_)________________________________ % 0.72/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.72/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.72/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.72/0.71 % 0.72/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.72/0.71 (2023-06-19) % 0.72/0.71 % 0.72/0.71 (c) Philipp Rümmer, 2009-2023 % 0.72/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.72/0.71 Amanda Stjerna. % 0.72/0.71 Free software under BSD-3-Clause. % 0.72/0.71 % 0.72/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.72/0.71 % 0.72/0.71 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.72/0.73 Running up to 7 provers in parallel. % 0.72/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.72/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.72/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.72/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.72/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.72/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.72/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 6.48/1.69 Prover 2: Preprocessing ... % 6.48/1.69 Prover 0: Preprocessing ... % 6.48/1.69 Prover 5: Preprocessing ... % 8.03/1.82 Prover 1: Preprocessing ... % 8.03/1.83 Prover 6: Preprocessing ... % 8.03/1.83 Prover 3: Preprocessing ... % 8.03/1.84 Prover 4: Preprocessing ... % 13.55/2.59 Prover 2: Proving ... % 13.55/2.59 Prover 5: Proving ... % 15.92/2.81 Prover 6: Proving ... % 15.92/2.82 Prover 1: Constructing countermodel ... % 16.69/3.00 Prover 1: gave up % 16.69/3.01 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 18.05/3.10 Prover 3: Constructing countermodel ... % 18.05/3.14 Prover 3: gave up % 18.05/3.14 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 18.82/3.18 Prover 7: Preprocessing ... % 19.78/3.31 Prover 8: Preprocessing ... % 19.78/3.39 Prover 7: Warning: ignoring some quantifiers % 20.58/3.45 Prover 7: Constructing countermodel ... % 21.38/3.53 Prover 7: gave up % 21.38/3.53 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 23.71/3.80 Prover 9: Preprocessing ... % 24.50/3.96 Prover 8: Warning: ignoring some quantifiers % 24.50/4.01 Prover 8: Constructing countermodel ... % 26.84/4.23 Prover 8: gave up % 26.84/4.23 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 29.21/4.53 Prover 10: Preprocessing ... % 30.04/4.65 Prover 10: Warning: ignoring some quantifiers % 30.04/4.69 Prover 10: Constructing countermodel ... % 30.80/4.73 Prover 10: gave up % 30.80/4.74 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 31.60/4.88 Prover 11: Preprocessing ... % 62.99/8.80 Prover 4: Constructing countermodel ... % 69.33/9.66 Prover 2: stopped % 69.33/9.67 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 70.10/9.79 Prover 9: Constructing countermodel ... % 70.82/9.85 Prover 12: Preprocessing ... % 71.55/9.91 Prover 0: Proving ... % 72.81/10.09 Prover 12: Proving ... % 73.61/10.19 Prover 11: Constructing countermodel ... % 85.76/11.73 Prover 12: stopped % 85.76/11.74 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 86.52/11.86 Prover 13: Preprocessing ... % 86.52/11.90 Prover 13: Warning: ignoring some quantifiers % 87.28/11.95 Prover 13: Constructing countermodel ... % 87.28/11.99 Prover 13: gave up % 87.28/11.99 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 89.52/12.25 Prover 14: Preprocessing ... % 90.29/12.37 Prover 14: Proving ... % 104.23/14.07 Prover 5: stopped % 104.23/14.08 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 105.32/14.21 Prover 15: Preprocessing ... % 106.91/14.48 Prover 15: Proving ... % 134.56/17.99 Prover 6: stopped % 134.56/18.00 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 136.40/18.19 Prover 16: Preprocessing ... % 136.79/18.25 Prover 16: Warning: ignoring some quantifiers % 136.79/18.28 Prover 16: Constructing countermodel ... % 137.55/18.30 Prover 16: gave up % 137.55/18.31 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 138.31/18.42 Prover 17: Preprocessing ... % 138.31/18.46 Prover 17: Proving ... % 138.31/18.47 Prover 17: gave up % 138.31/18.47 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 139.12/18.51 Prover 18: Preprocessing ... % 139.12/18.55 Prover 18: Warning: ignoring some quantifiers % 139.12/18.55 Prover 18: Constructing countermodel ... % 139.12/18.57 Prover 18: gave up % 139.12/18.57 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 140.69/18.72 Prover 19: Preprocessing ... % 142.22/19.00 Prover 19: Warning: ignoring some quantifiers % 142.22/19.01 Prover 19: Constructing countermodel ... % 146.96/19.55 Prover 19: gave up % 146.96/19.55 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 148.50/19.75 Prover 20: Preprocessing ... % 149.31/19.82 Prover 20: Proving ... % 201.98/26.59 Prover 20: proved (7034ms) % 201.98/26.59 % 201.98/26.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 201.98/26.60 % 202.78/26.60 Prover 14: stopped % 202.78/26.60 Prover 15: stopped % 202.78/26.60 Prover 9: stopped % 202.78/26.65 Prover 0: stopped % 208.73/28.07 Prover 4: stopped % 229.37/43.51 Prover 11: stopped % 229.37/43.52 % 229.37/43.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 229.37/43.52 % 229.37/43.52 42805ms %------------------------------------------------------------------------------