%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL900+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 : 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 12:55:05 PM UTC 2026 % Result : Unknown 0.16s 40.78s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL900+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n002.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.37 % CPULimit : 300 % 0.09/0.37 % WCLimit : 300 % 0.09/0.37 % DateTime : Sat Sep 5 19:42:51 UTC 2026 % 0.09/0.37 % CPUTime : % 0.15/0.38 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. % 0.49/0.58 ________ _____ % 0.49/0.58 ___ __ \_________(_)________________________________ % 0.49/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.49/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.49/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.49/0.58 % 0.49/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.49/0.58 (2023-06-19) % 0.49/0.58 % 0.49/0.58 (c) Philipp Rümmer, 2009-2023 % 0.49/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.49/0.58 Amanda Stjerna. % 0.49/0.58 Free software under BSD-3-Clause. % 0.49/0.58 % 0.49/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.49/0.58 % 0.49/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.49/0.59 Running up to 7 provers in parallel. % 0.49/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.49/0.60 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.49/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.49/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.49/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.49/0.60 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.49/0.60 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.87/1.12 Prover 1: Preprocessing ... % 1.87/1.12 Prover 4: Preprocessing ... % 2.65/1.19 Prover 6: Preprocessing ... % 2.65/1.19 Prover 0: Preprocessing ... % 2.65/1.19 Prover 3: Preprocessing ... % 2.65/1.19 Prover 2: Preprocessing ... % 2.65/1.20 Prover 5: Preprocessing ... % 4.70/1.48 Prover 3: Constructing countermodel ... % 4.70/1.48 Prover 6: Constructing countermodel ... % 4.70/1.49 Prover 1: Constructing countermodel ... % 5.46/1.51 Prover 5: Proving ... % 5.46/1.56 Prover 4: Constructing countermodel ... % 5.46/1.58 Prover 0: Proving ... % 5.46/1.58 Prover 2: Proving ... % 6.25/1.66 Prover 3: gave up % 6.25/1.66 Prover 1: gave up % 6.25/1.67 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.25/1.67 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.25/1.69 Prover 8: Preprocessing ... % 7.04/1.73 Prover 7: Preprocessing ... % 7.04/1.76 Prover 8: Warning: ignoring some quantifiers % 7.04/1.79 Prover 8: Constructing countermodel ... % 7.84/1.80 Prover 6: gave up % 7.84/1.81 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 7.84/1.85 Prover 7: Warning: ignoring some quantifiers % 7.84/1.86 Prover 7: Constructing countermodel ... % 7.84/1.86 Prover 9: Preprocessing ... % 8.62/1.93 Prover 8: gave up % 8.62/1.93 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.62/2.01 Prover 10: Preprocessing ... % 9.68/2.12 Prover 9: Constructing countermodel ... % 10.46/2.16 Prover 10: Warning: ignoring some quantifiers % 10.46/2.18 Prover 10: Constructing countermodel ... % 10.96/2.24 Prover 10: gave up % 10.96/2.25 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.96/2.28 Prover 11: Preprocessing ... % 12.55/2.49 Prover 11: Constructing countermodel ... % 63.00/8.85 Prover 2: stopped % 63.00/8.86 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 63.00/8.88 Prover 12: Preprocessing ... % 63.83/9.02 Prover 12: Proving ... % 76.49/10.58 Prover 12: stopped % 76.49/10.58 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 77.30/10.61 Prover 13: Preprocessing ... % 77.30/10.66 Prover 13: Warning: ignoring some quantifiers % 77.30/10.67 Prover 13: Constructing countermodel ... % 78.09/10.73 Prover 13: gave up % 78.09/10.73 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 78.09/10.75 Prover 14: Preprocessing ... % 78.87/10.84 Prover 14: Proving ... % 103.49/13.93 Prover 5: stopped % 103.49/13.94 Prover 15: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=723048181 % 103.49/13.98 Prover 15: Preprocessing ... % 104.54/14.08 Prover 15: Proving ... % 196.89/26.12 Prover 7: stopped % 196.89/26.12 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 196.89/26.14 Prover 16: Preprocessing ... % 197.66/26.20 Prover 16: Warning: ignoring some quantifiers % 198.02/26.20 Prover 16: Constructing countermodel ... % 211.04/27.95 Prover 4: stopped % 211.04/27.95 Prover 17: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=642448422 % 211.04/27.97 Prover 17: Preprocessing ... % 211.04/28.01 Prover 17: Constructing countermodel ... % 211.04/28.04 Prover 17: gave up % 211.04/28.05 Prover 18: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-219651170 % 212.20/28.09 Prover 18: Preprocessing ... % 212.20/28.14 Prover 18: Warning: ignoring some quantifiers % 212.20/28.15 Prover 18: Constructing countermodel ... % 213.04/28.17 Prover 18: gave up % 213.04/28.18 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 213.32/28.20 Prover 19: Preprocessing ... % 214.14/28.35 Prover 19: Warning: ignoring some quantifiers % 214.14/28.36 Prover 19: Constructing countermodel ... % 214.91/28.41 Prover 19: gave up % 214.91/28.42 Prover 20: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=2065050644 % 214.91/28.44 Prover 20: Preprocessing ... % 215.69/28.50 Prover 20: Proving ... % 215.69/28.56 Prover 9: stopped % 215.69/28.57 Prover 21: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=201956991 % 215.69/28.59 Prover 21: Preprocessing ... % 216.49/28.66 Prover 21: Proving ... % 234.29/30.95 Prover 16: stopped % 259.98/34.70 Prover 14: stopped %------------------------------------------------------------------------------