%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n026.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 274.32s 43.18s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.35 % Computer : n026.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Fri Sep 4 18:49:25 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.37 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. % 0.68/0.70 ________ _____ % 0.68/0.70 ___ __ \_________(_)________________________________ % 0.68/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.68/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.68/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.68/0.70 % 0.68/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.68/0.70 (2023-06-19) % 0.68/0.70 % 0.68/0.70 (c) Philipp Rümmer, 2009-2023 % 0.68/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.68/0.70 Amanda Stjerna. % 0.68/0.70 Free software under BSD-3-Clause. % 0.68/0.70 % 0.68/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.68/0.70 % 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 % 5.50/1.67 Prover 1: Preprocessing ... % 5.50/1.68 Prover 3: Preprocessing ... % 5.50/1.68 Prover 5: Preprocessing ... % 5.50/1.69 Prover 6: Preprocessing ... % 6.32/1.71 Prover 0: Preprocessing ... % 6.32/1.71 Prover 2: Preprocessing ... % 6.32/1.72 Prover 4: Preprocessing ... % 10.16/2.24 Prover 2: Proving ... % 10.16/2.26 Prover 5: Proving ... % 14.12/2.74 Prover 3: Constructing countermodel ... % 14.94/2.81 Prover 4: Constructing countermodel ... % 14.94/2.83 Prover 3: gave up % 14.94/2.83 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 14.94/2.86 Prover 1: Constructing countermodel ... % 14.94/2.88 Prover 6: Proving ... % 15.71/2.92 Prover 1: gave up % 15.71/2.93 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 15.71/3.02 Prover 4: gave up % 15.71/3.03 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 16.88/3.06 Prover 7: Preprocessing ... % 16.88/3.08 Prover 8: Preprocessing ... % 16.88/3.13 Prover 0: Proving ... % 17.72/3.19 Prover 7: Warning: ignoring some quantifiers % 18.04/3.23 Prover 7: Constructing countermodel ... % 18.04/3.24 Prover 9: Preprocessing ... % 20.42/3.57 Prover 8: Warning: ignoring some quantifiers % 20.42/3.59 Prover 8: Constructing countermodel ... % 21.99/3.75 Prover 8: gave up % 21.99/3.75 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 22.78/3.86 Prover 9: Constructing countermodel ... % 22.78/3.88 Prover 10: Preprocessing ... % 23.58/3.96 Prover 9: gave up % 23.58/3.97 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 23.58/3.99 Prover 10: Warning: ignoring some quantifiers % 23.58/4.00 Prover 10: Constructing countermodel ... % 24.74/4.05 Prover 10: gave up % 24.74/4.06 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 25.94/4.20 Prover 12: Preprocessing ... % 25.94/4.24 Prover 11: Preprocessing ... % 29.09/4.62 Prover 12: Proving ... % 29.89/4.78 Prover 11: Constructing countermodel ... % 30.69/4.83 Prover 11: gave up % 30.69/4.84 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 31.46/4.96 Prover 13: Preprocessing ... % 31.46/5.02 Prover 13: Warning: ignoring some quantifiers % 31.46/5.04 Prover 13: Constructing countermodel ... % 32.65/5.09 Prover 13: gave up % 32.65/5.09 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 33.80/5.28 Prover 14: Preprocessing ... % 36.15/5.52 Prover 14: Proving ... % 44.08/6.56 Prover 12: stopped % 44.08/6.57 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 44.86/6.65 Prover 15: Preprocessing ... % 47.20/7.04 Prover 15: Proving ... % 55.13/8.01 Prover 2: stopped % 55.13/8.01 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 56.31/8.15 Prover 16: Preprocessing ... % 57.50/8.22 Prover 16: Warning: ignoring some quantifiers % 57.50/8.24 Prover 16: Constructing countermodel ... % 102.55/13.96 Prover 16: stopped % 102.55/13.96 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 103.68/14.06 Prover 5: stopped % 103.68/14.07 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 103.68/14.08 Prover 17: Preprocessing ... % 104.48/14.19 Prover 18: Preprocessing ... % 104.84/14.20 Prover 17: Proving ... % 104.84/14.21 Prover 17: gave up % 104.84/14.22 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 104.84/14.29 Prover 19: Preprocessing ... % 105.63/14.39 Prover 18: Warning: ignoring some quantifiers % 105.63/14.39 Prover 18: Constructing countermodel ... % 106.41/14.43 Prover 18: gave up % 106.41/14.43 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 106.41/14.46 Prover 19: Warning: ignoring some quantifiers % 106.41/14.46 Prover 19: Constructing countermodel ... % 107.22/14.56 Prover 20: Preprocessing ... % 108.03/14.60 Prover 20: Proving ... % 109.62/14.88 Prover 19: gave up % 109.62/14.88 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 110.40/14.96 Prover 21: Preprocessing ... % 110.40/14.98 Prover 21: Proving ... % 134.07/17.98 Prover 6: stopped % 184.83/24.75 Prover 7: stopped % 228.75/32.91 Prover 14: stopped % 274.32/43.18 Prover 20: proved (28729ms) % 274.32/43.18 % 274.32/43.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 274.32/43.18 % 274.32/43.18 Prover 0: stopped % 274.32/43.18 Prover 21: stopped % 274.32/43.18 Prover 15: stopped % 274.32/43.18 % 274.32/43.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 274.32/43.18 % 274.32/43.18 42481ms %------------------------------------------------------------------------------