%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL686+1.001 : 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 12:54:43 PM UTC 2026 % Result : Theorem 41.23s 6.12s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL686+1.001 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.03 % 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 : Sat Sep 5 09:50:53 UTC 2026 % 0.08/0.36 % 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. % 0.65/0.70 ________ _____ % 0.65/0.70 ___ __ \_________(_)________________________________ % 0.65/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.65/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.65/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.65/0.70 % 0.65/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.65/0.70 (2023-06-19) % 0.65/0.70 % 0.65/0.70 (c) Philipp Rümmer, 2009-2023 % 0.65/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.65/0.70 Amanda Stjerna. % 0.65/0.70 Free software under BSD-3-Clause. % 0.65/0.70 % 0.65/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.65/0.70 % 0.65/0.70 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.65/0.72 Running up to 7 provers in parallel. % 0.65/0.73 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.65/0.73 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.65/0.73 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.65/0.73 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.65/0.73 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.65/0.73 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.65/0.73 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.20/1.11 Prover 1: Preprocessing ... % 2.20/1.11 Prover 4: Preprocessing ... % 2.96/1.19 Prover 6: Preprocessing ... % 2.96/1.19 Prover 5: Preprocessing ... % 2.96/1.19 Prover 0: Preprocessing ... % 2.96/1.19 Prover 3: Preprocessing ... % 2.96/1.19 Prover 2: Preprocessing ... % 4.11/1.35 Prover 5: Proving ... % 4.11/1.35 Prover 2: Proving ... % 4.88/1.42 Prover 1: Constructing countermodel ... % 4.88/1.43 Prover 3: Constructing countermodel ... % 4.88/1.48 Prover 6: Proving ... % 4.88/1.49 Prover 4: Constructing countermodel ... % 5.65/1.54 Prover 1: gave up % 5.65/1.54 Prover 3: gave up % 5.65/1.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.65/1.55 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.65/1.57 Prover 0: Proving ... % 5.65/1.58 Prover 7: Preprocessing ... % 6.44/1.61 Prover 8: Preprocessing ... % 6.44/1.61 Prover 4: gave up % 6.44/1.61 Prover 7: Warning: ignoring some quantifiers % 6.44/1.62 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.44/1.62 Prover 7: Constructing countermodel ... % 6.44/1.64 Prover 9: Preprocessing ... % 7.22/1.73 Prover 8: Warning: ignoring some quantifiers % 7.22/1.74 Prover 8: Constructing countermodel ... % 8.01/1.82 Prover 8: gave up % 8.01/1.82 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.01/1.83 Prover 9: Constructing countermodel ... % 8.01/1.85 Prover 10: Preprocessing ... % 8.83/1.91 Prover 10: Warning: ignoring some quantifiers % 8.83/1.92 Prover 10: Constructing countermodel ... % 8.83/1.94 Prover 9: gave up % 8.83/1.94 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.83/1.98 Prover 10: gave up % 8.83/1.99 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 9.77/2.03 Prover 11: Preprocessing ... % 9.77/2.07 Prover 12: Preprocessing ... % 11.14/2.26 Prover 12: Proving ... % 11.14/2.29 Prover 11: Constructing countermodel ... % 11.89/2.36 Prover 11: gave up % 11.89/2.36 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.69/2.41 Prover 13: Preprocessing ... % 12.69/2.44 Prover 13: Warning: ignoring some quantifiers % 12.69/2.44 Prover 13: Constructing countermodel ... % 12.69/2.49 Prover 13: gave up % 12.69/2.49 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 13.48/2.53 Prover 14: Preprocessing ... % 14.30/2.61 Prover 14: Proving ... % 34.57/5.22 Prover 12: stopped % 34.57/5.23 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 34.57/5.25 Prover 15: Preprocessing ... % 35.34/5.36 Prover 15: Proving ... % 41.23/6.11 Prover 6: proved (5381ms) % 41.23/6.11 % 41.23/6.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 41.23/6.12 % 41.23/6.12 Prover 5: stopped % 41.23/6.12 Prover 14: stopped % 41.23/6.12 Prover 15: stopped % 41.23/6.12 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 41.23/6.12 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 41.23/6.12 Prover 2: stopped % 41.23/6.13 Prover 0: stopped % 41.23/6.14 Prover 19: Preprocessing ... % 41.23/6.14 Prover 16: Preprocessing ... % 41.98/6.16 Prover 16: Warning: ignoring some quantifiers % 41.98/6.16 Prover 16: Constructing countermodel ... % 42.33/6.20 Prover 19: Warning: ignoring some quantifiers % 42.33/6.20 Prover 19: Constructing countermodel ... % 42.33/6.25 Prover 19: gave up % 70.01/12.27 Prover 16: stopped % 83.96/24.86 Prover 7: stopped % 83.96/24.86 % 83.96/24.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 83.96/24.86 % 83.96/24.86 24159ms %------------------------------------------------------------------------------