%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL686+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 : 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 12:54:43 PM UTC 2026 % Result : Theorem 156.99s 20.87s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL686+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 % 0.11/0.35 % Computer : n020.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.35 % CPULimit : 300 % 0.11/0.35 % WCLimit : 300 % 0.11/0.35 % DateTime : Fri Sep 4 19:16:42 UTC 2026 % 0.13/0.36 % 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. % 0.72/0.70 ________ _____ % 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. % 0.72/0.74 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 % 0.72/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.72/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.72/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.72/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 11.25/2.29 Prover 1: Preprocessing ... % 12.83/2.42 Prover 6: Preprocessing ... % 12.83/2.42 Prover 2: Preprocessing ... % 12.83/2.42 Prover 0: Preprocessing ... % 12.83/2.42 Prover 3: Preprocessing ... % 12.83/2.44 Prover 4: Preprocessing ... % 12.83/2.44 Prover 5: Preprocessing ... % 19.08/3.22 Prover 5: Proving ... % 19.86/3.33 Prover 2: Proving ... % 29.28/4.52 Prover 4: Constructing countermodel ... % 30.84/4.73 Prover 4: gave up % 30.84/4.73 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 30.84/4.78 Prover 0: Proving ... % 31.64/4.85 Prover 6: Proving ... % 32.46/4.95 Prover 3: Constructing countermodel ... % 32.46/5.00 Prover 3: gave up % 32.46/5.00 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 32.46/5.05 Prover 1: Constructing countermodel ... % 33.66/5.11 Prover 1: gave up % 33.66/5.11 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 36.35/5.48 Prover 9: Preprocessing ... % 37.19/5.51 Prover 7: Preprocessing ... % 37.95/5.68 Prover 7: Warning: ignoring some quantifiers % 38.74/5.71 Prover 8: Preprocessing ... % 38.74/5.74 Prover 7: Constructing countermodel ... % 46.65/6.70 Prover 8: Warning: ignoring some quantifiers % 46.65/6.71 Prover 8: Constructing countermodel ... % 47.44/6.85 Prover 8: gave up % 47.44/6.85 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 50.53/7.22 Prover 10: Preprocessing ... % 51.31/7.32 Prover 9: Constructing countermodel ... % 51.31/7.32 Prover 10: Warning: ignoring some quantifiers % 51.31/7.36 Prover 10: Constructing countermodel ... % 51.31/7.37 Prover 9: gave up % 51.31/7.37 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 52.10/7.42 Prover 10: gave up % 52.10/7.42 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 54.42/7.72 Prover 11: Preprocessing ... % 55.22/7.82 Prover 2: stopped % 55.22/7.82 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 56.02/8.01 Prover 12: Preprocessing ... % 58.29/8.29 Prover 13: Preprocessing ... % 59.88/8.40 Prover 13: Warning: ignoring some quantifiers % 59.88/8.43 Prover 13: Constructing countermodel ... % 59.88/8.47 Prover 13: gave up % 59.88/8.47 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 59.88/8.49 Prover 12: Proving ... % 62.27/8.79 Prover 11: Constructing countermodel ... % 63.04/8.84 Prover 14: Preprocessing ... % 63.04/8.84 Prover 11: gave up % 63.04/8.84 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 63.84/8.97 Prover 15: Preprocessing ... % 65.06/9.14 Prover 12: stopped % 65.06/9.14 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 66.19/9.23 Prover 14: Proving ... % 67.74/9.47 Prover 16: Preprocessing ... % 68.54/9.55 Prover 16: Warning: ignoring some quantifiers % 68.54/9.56 Prover 16: Constructing countermodel ... % 70.93/9.83 Prover 15: Proving ... % 104.03/14.06 Prover 5: stopped % 104.03/14.06 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 105.26/14.28 Prover 17: Preprocessing ... % 109.19/14.74 Prover 16: stopped % 109.19/14.74 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 110.72/14.93 Prover 17: Proving ... % 110.72/14.98 Prover 17: gave up % 110.72/14.99 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 113.00/15.22 Prover 18: Preprocessing ... % 113.80/15.39 Prover 19: Preprocessing ... % 116.94/15.73 Prover 18: Warning: ignoring some quantifiers % 116.94/15.74 Prover 18: Constructing countermodel ... % 116.94/15.79 Prover 18: gave up % 117.74/15.80 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 118.56/16.01 Prover 20: Preprocessing ... % 119.81/16.07 Prover 20: Proving ... % 123.23/16.57 Prover 19: Warning: ignoring some quantifiers % 123.23/16.58 Prover 19: Constructing countermodel ... % 134.32/17.98 Prover 6: stopped % 134.32/17.99 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 138.26/18.45 Prover 21: Preprocessing ... % 138.26/18.49 Prover 21: Proving ... % 139.06/18.56 Prover 19: stopped % 156.99/20.87 Prover 20: proved (5057ms) % 156.99/20.87 % 156.99/20.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 156.99/20.87 % 156.99/20.87 Prover 21: stopped % 156.99/20.87 Prover 14: stopped % 156.99/20.87 Prover 0: stopped % 156.99/20.87 Prover 15: stopped % 167.87/25.81 Prover 7: stopped % 167.87/25.81 % 167.87/25.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 167.87/25.81 % 167.87/25.81 25108ms %------------------------------------------------------------------------------