%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL886+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 : n027.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 12:55:04 PM UTC 2026 % Result : Unknown 0.16s 49.24s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL886+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 : n027.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 % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 17:07:13 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.39 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. % 0.71/0.70 ________ _____ % 0.71/0.70 ___ __ \_________(_)________________________________ % 0.71/0.70 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.71/0.70 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.71/0.70 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.71/0.70 % 0.71/0.70 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.71/0.70 (2023-06-19) % 0.71/0.70 % 0.71/0.70 (c) Philipp Rümmer, 2009-2023 % 0.71/0.70 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.71/0.70 Amanda Stjerna. % 0.71/0.70 Free software under BSD-3-Clause. % 0.71/0.70 % 0.71/0.70 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.71/0.70 % 0.71/0.70 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.71/0.72 Running up to 7 provers in parallel. % 0.71/0.73 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.71/0.73 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.71/0.73 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.71/0.73 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.71/0.74 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.74 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.74 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.36/1.27 Prover 4: Preprocessing ... % 2.36/1.27 Prover 1: Preprocessing ... % 3.09/1.34 Prover 6: Preprocessing ... % 3.09/1.34 Prover 3: Preprocessing ... % 3.09/1.34 Prover 0: Preprocessing ... % 3.09/1.34 Prover 5: Preprocessing ... % 3.09/1.34 Prover 2: Preprocessing ... % 5.43/1.67 Prover 3: Constructing countermodel ... % 5.43/1.68 Prover 6: Constructing countermodel ... % 6.20/1.72 Prover 1: Constructing countermodel ... % 6.20/1.72 Prover 4: Constructing countermodel ... % 6.20/1.75 Prover 5: Proving ... % 7.02/1.81 Prover 0: Proving ... % 7.02/1.81 Prover 2: Proving ... % 7.02/1.87 Prover 3: gave up % 7.02/1.87 Prover 1: gave up % 7.02/1.87 Prover 6: gave up % 7.02/1.87 Prover 4: gave up % 7.02/1.88 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.02/1.88 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.02/1.88 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 7.02/1.88 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.76/1.93 Prover 8: Preprocessing ... % 7.76/1.93 Prover 7: Preprocessing ... % 7.76/1.93 Prover 10: Preprocessing ... % 7.76/1.95 Prover 9: Preprocessing ... % 7.76/2.03 Prover 7: Warning: ignoring some quantifiers % 7.76/2.06 Prover 7: Constructing countermodel ... % 9.02/2.07 Prover 8: Warning: ignoring some quantifiers % 9.02/2.08 Prover 10: Warning: ignoring some quantifiers % 9.02/2.11 Prover 10: Constructing countermodel ... % 9.02/2.11 Prover 8: Constructing countermodel ... % 9.81/2.17 Prover 10: gave up % 9.81/2.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.09/2.22 Prover 8: gave up % 10.09/2.23 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 10.09/2.25 Prover 11: Preprocessing ... % 10.09/2.26 Prover 12: Preprocessing ... % 10.09/2.29 Prover 9: Constructing countermodel ... % 11.61/2.42 Prover 12: Proving ... % 12.41/2.56 Prover 11: Constructing countermodel ... % 13.22/2.60 Prover 11: gave up % 13.22/2.61 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.22/2.64 Prover 13: Preprocessing ... % 14.78/2.80 Prover 13: Warning: ignoring some quantifiers % 14.78/2.81 Prover 13: Constructing countermodel ... % 15.62/2.91 Prover 13: gave up % 15.62/2.92 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 15.62/2.95 Prover 14: Preprocessing ... % 17.70/3.18 Prover 14: Proving ... % 26.58/4.36 Prover 7: gave up % 26.58/4.36 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 27.32/4.41 Prover 15: Preprocessing ... % 28.10/4.51 Prover 15: Proving ... % 32.51/5.12 Prover 12: stopped % 32.51/5.12 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 33.30/5.16 Prover 16: Preprocessing ... % 33.62/5.28 Prover 16: Warning: ignoring some quantifiers % 33.62/5.28 Prover 16: Constructing countermodel ... % 51.73/7.54 Prover 2: stopped % 51.73/7.55 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 51.73/7.57 Prover 17: Preprocessing ... % 52.51/7.61 Prover 17: Constructing countermodel ... % 52.51/7.62 Prover 17: gave up % 52.51/7.62 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 52.51/7.66 Prover 18: Preprocessing ... % 53.34/7.73 Prover 18: Warning: ignoring some quantifiers % 53.34/7.73 Prover 18: Constructing countermodel ... % 53.34/7.78 Prover 18: gave up % 53.34/7.78 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 54.10/7.83 Prover 19: Preprocessing ... % 54.90/7.90 Prover 19: Warning: ignoring some quantifiers % 54.90/7.91 Prover 19: Constructing countermodel ... % 54.90/7.93 Prover 19: gave up % 54.90/7.94 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 54.90/7.96 Prover 20: Preprocessing ... % 54.90/8.01 Prover 20: Proving ... % 85.54/11.83 Prover 16: stopped % 85.54/11.84 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 85.54/11.86 Prover 21: Preprocessing ... % 86.31/11.91 Prover 21: Proving ... % 103.16/14.06 Prover 5: stopped % 208.61/28.67 Prover 9: stopped % 236.49/33.80 Prover 14: stopped %------------------------------------------------------------------------------