%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n002.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 12:55:12 PM UTC 2026 % Result : Unknown 0.14s 48.35s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0. % 0.00/0.03 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.08/0.35 % Computer : n002.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 16:16:35 UTC 2026 % 0.08/0.35 % CPUTime : % 0.11/0.37 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. % 0.56/0.68 ________ _____ % 0.56/0.68 ___ __ \_________(_)________________________________ % 0.56/0.68 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.56/0.68 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.56/0.68 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.56/0.68 % 0.56/0.68 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.56/0.68 (2023-06-19) % 0.56/0.68 % 0.56/0.68 (c) Philipp Rümmer, 2009-2023 % 0.56/0.68 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.56/0.68 Amanda Stjerna. % 0.56/0.68 Free software under BSD-3-Clause. % 0.56/0.68 % 0.56/0.68 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.56/0.68 % 0.56/0.69 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.67/0.71 Running up to 7 provers in parallel. % 0.67/0.72 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.67/0.72 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.67/0.72 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.67/0.72 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.67/0.72 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.67/0.72 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.67/0.72 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.99/1.18 Prover 1: Preprocessing ... % 1.99/1.18 Prover 4: Preprocessing ... % 2.43/1.21 Prover 2: Preprocessing ... % 2.43/1.21 Prover 3: Preprocessing ... % 2.43/1.21 Prover 5: Preprocessing ... % 2.43/1.21 Prover 6: Preprocessing ... % 2.43/1.21 Prover 0: Preprocessing ... % 4.04/1.40 Prover 4: Constructing countermodel ... % 4.04/1.41 Prover 3: Constructing countermodel ... % 4.04/1.41 Prover 1: Constructing countermodel ... % 4.04/1.41 Prover 6: Constructing countermodel ... % 4.04/1.41 Prover 0: Proving ... % 4.04/1.41 Prover 5: Proving ... % 4.04/1.41 Prover 2: Proving ... % 4.69/1.57 Prover 1: gave up % 4.69/1.57 Prover 6: gave up % 4.69/1.58 Prover 3: gave up % 4.69/1.58 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 4.69/1.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 4.69/1.58 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.50/1.60 Prover 7: Preprocessing ... % 5.50/1.60 Prover 9: Preprocessing ... % 5.50/1.61 Prover 8: Preprocessing ... % 5.50/1.66 Prover 7: Constructing countermodel ... % 5.50/1.66 Prover 8: Warning: ignoring some quantifiers % 5.50/1.67 Prover 8: Constructing countermodel ... % 6.28/1.72 Prover 9: Constructing countermodel ... % 6.28/1.75 Prover 8: gave up % 6.28/1.75 Prover 7: gave up % 6.28/1.75 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.28/1.75 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.28/1.77 Prover 10: Preprocessing ... % 6.28/1.77 Prover 11: Preprocessing ... % 7.05/1.81 Prover 10: Constructing countermodel ... % 7.05/1.82 Prover 11: Constructing countermodel ... % 7.05/1.83 Prover 10: gave up % 7.05/1.84 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 7.05/1.84 Prover 4: gave up % 7.05/1.84 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.05/1.85 Prover 12: Preprocessing ... % 7.05/1.86 Prover 13: Preprocessing ... % 7.05/1.90 Prover 13: Warning: ignoring some quantifiers % 7.84/1.90 Prover 13: Constructing countermodel ... % 7.84/1.92 Prover 12: Proving ... % 7.84/1.93 Prover 13: gave up % 7.84/1.94 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 7.84/1.95 Prover 14: Preprocessing ... % 7.84/2.00 Prover 11: gave up % 7.84/2.00 Prover 14: Proving ... % 7.84/2.00 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 8.91/2.04 Prover 15: Preprocessing ... % 8.91/2.09 Prover 15: Proving ... % 32.91/5.13 Prover 12: stopped % 32.91/5.14 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 32.91/5.17 Prover 16: Preprocessing ... % 33.93/5.22 Prover 16: Warning: ignoring some quantifiers % 33.93/5.22 Prover 16: Constructing countermodel ... % 34.69/5.31 Prover 16: gave up % 34.69/5.32 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 34.69/5.34 Prover 17: Preprocessing ... % 34.69/5.37 Prover 17: Constructing countermodel ... % 34.69/5.39 Prover 17: gave up % 34.69/5.39 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 35.49/5.40 Prover 18: Preprocessing ... % 35.49/5.43 Prover 18: Warning: ignoring some quantifiers % 35.49/5.43 Prover 18: Constructing countermodel ... % 35.49/5.47 Prover 18: gave up % 35.49/5.47 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 35.49/5.49 Prover 19: Preprocessing ... % 36.28/5.56 Prover 19: Warning: ignoring some quantifiers % 36.28/5.57 Prover 19: Constructing countermodel ... % 37.08/5.63 Prover 19: gave up % 37.08/5.64 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 37.08/5.66 Prover 20: Preprocessing ... % 37.93/5.74 Prover 20: Proving ... % 53.77/7.74 Prover 2: stopped % 53.77/7.74 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 53.77/7.75 Prover 21: Preprocessing ... % 53.77/7.77 Prover 21: Proving ... % 102.97/14.05 Prover 5: stopped % 209.07/28.79 Prover 9: stopped % 237.68/33.70 Prover 14: stopped %------------------------------------------------------------------------------