%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL876+1 : TPTP v9.3.1. Released v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n031.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 40.85s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL876+1 : TPTP v9.3.1. Released v5.2.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.36 % Computer : n031.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 21:19:09 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.38 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. % 0.66/0.75 ________ _____ % 0.66/0.75 ___ __ \_________(_)________________________________ % 0.66/0.75 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.66/0.75 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.66/0.75 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.66/0.75 % 0.66/0.75 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.66/0.75 (2023-06-19) % 0.66/0.75 % 0.66/0.75 (c) Philipp Rümmer, 2009-2023 % 0.66/0.75 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.66/0.75 Amanda Stjerna. % 0.66/0.75 Free software under BSD-3-Clause. % 0.66/0.75 % 0.66/0.75 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.66/0.75 % 0.66/0.75 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.77 Running up to 7 provers in parallel. % 0.66/0.79 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.79 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.79 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.79 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.79 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.79 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.79 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.17/1.24 Prover 1: Preprocessing ... % 2.17/1.25 Prover 4: Preprocessing ... % 2.88/1.30 Prover 2: Preprocessing ... % 2.88/1.30 Prover 3: Preprocessing ... % 2.88/1.31 Prover 0: Preprocessing ... % 2.88/1.31 Prover 5: Preprocessing ... % 2.88/1.31 Prover 6: Preprocessing ... % 3.66/1.50 Prover 6: Constructing countermodel ... % 4.43/1.50 Prover 5: Proving ... % 4.43/1.51 Prover 1: Constructing countermodel ... % 4.43/1.51 Prover 0: Proving ... % 4.43/1.53 Prover 4: Constructing countermodel ... % 4.43/1.54 Prover 2: Proving ... % 4.43/1.54 Prover 3: Constructing countermodel ... % 5.22/1.65 Prover 1: gave up % 5.22/1.65 Prover 3: gave up % 5.22/1.66 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.22/1.66 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 5.22/1.69 Prover 6: gave up % 5.22/1.69 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 5.96/1.72 Prover 7: Preprocessing ... % 5.96/1.74 Prover 8: Preprocessing ... % 5.96/1.77 Prover 9: Preprocessing ... % 6.73/1.83 Prover 8: Warning: ignoring some quantifiers % 6.73/1.85 Prover 7: Constructing countermodel ... % 6.73/1.85 Prover 8: Constructing countermodel ... % 7.55/1.91 Prover 9: Constructing countermodel ... % 7.55/1.92 Prover 8: gave up % 7.55/1.93 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.55/1.96 Prover 10: Preprocessing ... % 8.76/2.06 Prover 10: Constructing countermodel ... % 8.76/2.11 Prover 10: gave up % 8.76/2.12 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.76/2.15 Prover 11: Preprocessing ... % 9.87/2.28 Prover 11: Constructing countermodel ... % 64.11/9.21 Prover 2: stopped % 64.11/9.21 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 64.11/9.23 Prover 12: Preprocessing ... % 65.15/9.30 Prover 12: Proving ... % 78.27/10.94 Prover 12: stopped % 78.27/10.95 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 78.27/10.96 Prover 13: Preprocessing ... % 78.27/10.99 Prover 13: Warning: ignoring some quantifiers % 79.00/11.00 Prover 13: Constructing countermodel ... % 79.00/11.01 Prover 13: gave up % 79.00/11.01 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 79.00/11.03 Prover 14: Preprocessing ... % 79.00/11.07 Prover 14: Proving ... % 103.59/14.12 Prover 5: stopped % 103.59/14.12 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 103.59/14.13 Prover 15: Preprocessing ... % 103.59/14.19 Prover 15: Proving ... % 196.04/26.17 Prover 7: stopped % 196.04/26.17 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 196.04/26.19 Prover 16: Preprocessing ... % 196.04/26.25 Prover 16: Warning: ignoring some quantifiers % 196.04/26.25 Prover 16: Constructing countermodel ... % 197.32/26.32 Prover 16: gave up % 197.32/26.32 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 197.32/26.36 Prover 17: Preprocessing ... % 198.39/26.41 Prover 17: Constructing countermodel ... % 198.39/26.43 Prover 17: gave up % 198.39/26.44 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 198.39/26.47 Prover 18: Preprocessing ... % 199.18/26.50 Prover 18: Warning: ignoring some quantifiers % 199.18/26.50 Prover 18: Constructing countermodel ... % 199.18/26.52 Prover 18: gave up % 199.18/26.53 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 199.18/26.56 Prover 19: Preprocessing ... % 199.99/26.60 Prover 19: Warning: ignoring some quantifiers % 199.99/26.61 Prover 19: Constructing countermodel ... % 217.16/28.83 Prover 9: stopped % 217.16/28.84 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 217.16/28.84 Prover 20: Preprocessing ... % 217.16/28.87 Prover 20: Proving ... % 223.41/29.64 Prover 19: stopped % 223.41/29.64 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 223.41/29.66 Prover 21: Preprocessing ... % 223.41/29.69 Prover 21: Proving ... % 263.76/35.03 Prover 14: stopped %------------------------------------------------------------------------------