%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL891+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 : n007.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 0.15s 43.37s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL891+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.35 % Computer : n007.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 19:27:09 UTC 2026 % 0.09/0.36 % CPUTime : % 0.13/0.37 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. % 0.71/0.71 ________ _____ % 0.71/0.71 ___ __ \_________(_)________________________________ % 0.71/0.71 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.71/0.71 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.71/0.71 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.71/0.71 % 0.71/0.71 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.71/0.71 (2023-06-19) % 0.71/0.71 % 0.71/0.71 (c) Philipp Rümmer, 2009-2023 % 0.71/0.71 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.71/0.71 Amanda Stjerna. % 0.71/0.71 Free software under BSD-3-Clause. % 0.71/0.71 % 0.71/0.71 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.71/0.71 % 0.71/0.72 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.74 Running up to 7 provers in parallel. % 0.71/0.75 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.71/0.75 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.71/0.75 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.71/0.75 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.71/0.75 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.75 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.75 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.81/1.15 Prover 1: Preprocessing ... % 2.81/1.16 Prover 4: Preprocessing ... % 3.20/1.21 Prover 6: Preprocessing ... % 3.20/1.21 Prover 2: Preprocessing ... % 3.20/1.21 Prover 3: Preprocessing ... % 3.20/1.21 Prover 5: Preprocessing ... % 3.20/1.21 Prover 0: Preprocessing ... % 5.57/1.53 Prover 6: Constructing countermodel ... % 5.57/1.59 Prover 1: Constructing countermodel ... % 6.32/1.60 Prover 3: Constructing countermodel ... % 6.32/1.64 Prover 5: Proving ... % 6.32/1.64 Prover 2: Proving ... % 6.32/1.65 Prover 0: Proving ... % 6.32/1.66 Prover 4: Constructing countermodel ... % 7.10/1.72 Prover 3: gave up % 7.10/1.72 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.10/1.74 Prover 7: Preprocessing ... % 7.10/1.80 Prover 7: Warning: ignoring some quantifiers % 7.94/1.81 Prover 7: Constructing countermodel ... % 7.94/1.86 Prover 1: gave up % 7.94/1.86 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.68/1.91 Prover 8: Preprocessing ... % 8.68/2.01 Prover 8: Warning: ignoring some quantifiers % 8.68/2.03 Prover 8: Constructing countermodel ... % 10.99/2.29 Prover 4: gave up % 10.99/2.29 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 11.77/2.31 Prover 6: gave up % 11.77/2.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.77/2.32 Prover 9: Preprocessing ... % 11.77/2.35 Prover 10: Preprocessing ... % 12.59/2.45 Prover 10: Warning: ignoring some quantifiers % 12.59/2.46 Prover 10: Constructing countermodel ... % 13.36/2.52 Prover 10: gave up % 13.36/2.52 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.36/2.55 Prover 9: Constructing countermodel ... % 13.36/2.57 Prover 11: Preprocessing ... % 14.16/2.67 Prover 11: Constructing countermodel ... % 16.55/3.01 Prover 11: gave up % 16.55/3.02 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 16.55/3.05 Prover 12: Preprocessing ... % 17.79/3.13 Prover 12: Proving ... % 39.45/5.81 Prover 12: stopped % 39.45/5.81 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 39.45/5.88 Prover 13: Preprocessing ... % 40.27/5.97 Prover 13: Warning: ignoring some quantifiers % 40.27/5.98 Prover 13: Constructing countermodel ... % 40.27/6.00 Prover 13: gave up % 40.27/6.00 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 40.27/6.02 Prover 14: Preprocessing ... % 42.55/6.23 Prover 14: Proving ... % 55.92/7.98 Prover 2: stopped % 55.92/7.98 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 55.92/8.01 Prover 15: Preprocessing ... % 56.97/8.10 Prover 15: Proving ... % 104.32/14.08 Prover 5: stopped % 104.32/14.08 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 104.32/14.12 Prover 16: Preprocessing ... % 105.16/14.18 Prover 16: Warning: ignoring some quantifiers % 105.16/14.18 Prover 16: Constructing countermodel ... % 142.18/18.93 Prover 16: stopped % 142.18/18.94 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 142.18/18.96 Prover 17: Preprocessing ... % 142.18/19.02 Prover 17: Constructing countermodel ... % 181.62/24.35 Prover 7: stopped % 181.62/24.36 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 181.62/24.38 Prover 18: Preprocessing ... % 182.38/24.46 Prover 18: Warning: ignoring some quantifiers % 182.38/24.46 Prover 18: Constructing countermodel ... % 214.22/28.89 Prover 9: stopped % 214.22/28.89 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 215.03/28.93 Prover 19: Preprocessing ... % 215.03/29.03 Prover 19: Warning: ignoring some quantifiers % 215.03/29.04 Prover 19: Constructing countermodel ... % 231.05/31.15 Prover 14: stopped % 231.05/31.16 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 231.86/31.17 Prover 20: Preprocessing ... % 232.18/31.25 Prover 20: Proving ... % 237.66/31.99 Prover 17: stopped % 237.66/31.99 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 237.66/32.01 Prover 19: stopped % 237.66/32.02 Prover 21: Preprocessing ... % 238.62/32.06 Prover 21: Proving ... % 264.62/35.47 Prover 18: stopped % 277.55/37.60 Prover 8: stopped %------------------------------------------------------------------------------