%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL882+1 : TPTP v9.3.1. Released v5.5.0. % 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 12:55:03 PM UTC 2026 % Result : Unknown 0.16s 49.37s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL882+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.36 % Computer : n020.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sat Sep 5 08:34:12 UTC 2026 % 0.11/0.36 % CPUTime : % 0.11/0.38 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. % 0.69/0.71 ________ _____ % 0.69/0.71 ___ __ \_________(_)________________________________ % 0.69/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.69/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.69/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.69/0.71 % 0.69/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.69/0.71 (2023-06-19) % 0.69/0.71 % 0.69/0.71 (c) Philipp Rümmer, 2009-2023 % 0.69/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.69/0.71 Amanda Stjerna. % 0.69/0.71 Free software under BSD-3-Clause. % 0.69/0.71 % 0.69/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.69/0.71 % 0.69/0.71 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.69/0.73 Running up to 7 provers in parallel. % 0.69/0.74 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.69/0.74 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.69/0.74 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.69/0.74 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.69/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.69/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.69/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.90/1.12 Prover 1: Preprocessing ... % 2.71/1.13 Prover 4: Preprocessing ... % 3.19/1.20 Prover 6: Preprocessing ... % 3.19/1.20 Prover 3: Preprocessing ... % 3.19/1.20 Prover 2: Preprocessing ... % 3.19/1.20 Prover 5: Preprocessing ... % 3.19/1.20 Prover 0: Preprocessing ... % 5.55/1.57 Prover 3: Constructing countermodel ... % 5.55/1.58 Prover 1: Constructing countermodel ... % 6.33/1.60 Prover 5: Proving ... % 6.33/1.62 Prover 6: Constructing countermodel ... % 6.33/1.65 Prover 0: Proving ... % 6.33/1.66 Prover 4: Constructing countermodel ... % 6.33/1.68 Prover 2: Proving ... % 7.12/1.71 Prover 1: gave up % 7.12/1.71 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.12/1.71 Prover 3: gave up % 7.12/1.72 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.12/1.72 Prover 6: gave up % 7.12/1.73 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 7.12/1.75 Prover 8: Preprocessing ... % 7.12/1.75 Prover 7: Preprocessing ... % 7.12/1.76 Prover 4: gave up % 7.12/1.77 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.12/1.79 Prover 9: Preprocessing ... % 7.87/1.84 Prover 10: Preprocessing ... % 7.87/1.84 Prover 7: Warning: ignoring some quantifiers % 7.87/1.86 Prover 7: Constructing countermodel ... % 7.87/1.89 Prover 8: Warning: ignoring some quantifiers % 8.68/1.90 Prover 8: Constructing countermodel ... % 8.68/1.92 Prover 7: gave up % 8.68/1.93 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.68/1.99 Prover 11: Preprocessing ... % 8.68/2.01 Prover 10: Warning: ignoring some quantifiers % 8.68/2.03 Prover 10: Constructing countermodel ... % 8.68/2.04 Prover 8: gave up % 8.68/2.05 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 9.97/2.13 Prover 12: Preprocessing ... % 9.97/2.15 Prover 10: gave up % 9.97/2.15 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.77/2.18 Prover 9: Constructing countermodel ... % 11.01/2.21 Prover 13: Preprocessing ... % 11.01/2.22 Prover 11: Constructing countermodel ... % 11.01/2.26 Prover 11: gave up % 11.01/2.26 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 11.01/2.29 Prover 14: Preprocessing ... % 11.79/2.36 Prover 12: Proving ... % 11.79/2.38 Prover 13: Warning: ignoring some quantifiers % 11.79/2.39 Prover 13: Constructing countermodel ... % 13.38/2.50 Prover 13: gave up % 13.38/2.50 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 13.38/2.55 Prover 15: Preprocessing ... % 13.38/2.55 Prover 14: Proving ... % 14.98/2.70 Prover 15: Proving ... % 32.39/5.05 Prover 12: stopped % 32.39/5.05 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 33.57/5.09 Prover 16: Preprocessing ... % 34.40/5.17 Prover 16: Warning: ignoring some quantifiers % 34.40/5.17 Prover 16: Constructing countermodel ... % 54.45/7.76 Prover 2: stopped % 54.45/7.76 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 55.25/7.81 Prover 17: Preprocessing ... % 55.25/7.90 Prover 17: Constructing countermodel ... % 56.04/7.91 Prover 17: gave up % 56.04/7.92 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 56.04/7.96 Prover 18: Preprocessing ... % 56.04/8.04 Prover 18: Warning: ignoring some quantifiers % 57.20/8.05 Prover 18: Constructing countermodel ... % 57.20/8.08 Prover 18: gave up % 57.20/8.09 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 57.20/8.13 Prover 19: Preprocessing ... % 58.37/8.26 Prover 19: Warning: ignoring some quantifiers % 58.37/8.27 Prover 19: Constructing countermodel ... % 59.20/8.32 Prover 19: gave up % 59.20/8.33 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 59.20/8.37 Prover 20: Preprocessing ... % 59.97/8.47 Prover 20: Proving ... % 87.67/12.04 Prover 16: stopped % 87.67/12.05 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 87.67/12.07 Prover 21: Preprocessing ... % 89.21/12.12 Prover 21: Proving ... % 104.80/14.07 Prover 5: stopped % 209.96/28.71 Prover 9: stopped % 234.85/33.51 Prover 14: stopped %------------------------------------------------------------------------------