%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n018.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 12:53:43 PM UTC 2026 % Result : Theorem 2.03s 1.12s % Output : Proof 2.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.36 % Computer : n018.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 % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 23:24:18 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.38 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. % 0.57/0.69 ________ _____ % 0.57/0.69 ___ __ \_________(_)________________________________ % 0.57/0.69 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.57/0.69 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.57/0.69 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.57/0.69 % 0.57/0.69 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.57/0.69 (2023-06-19) % 0.57/0.69 % 0.57/0.69 (c) Philipp Rümmer, 2009-2023 % 0.57/0.69 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.57/0.69 Amanda Stjerna. % 0.57/0.69 Free software under BSD-3-Clause. % 0.57/0.69 % 0.57/0.69 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.57/0.69 % 0.57/0.69 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.71/0.71 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 % 0.71/0.73 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.71/0.73 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.71/0.73 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.18/1.01 Prover 4: Preprocessing ... % 1.18/1.01 Prover 1: Preprocessing ... % 2.03/1.06 Prover 5: Preprocessing ... % 2.03/1.06 Prover 3: Preprocessing ... % 2.03/1.06 Prover 0: Preprocessing ... % 2.03/1.06 Prover 6: Preprocessing ... % 2.03/1.06 Prover 2: Preprocessing ... % 2.03/1.08 Prover 1: Constructing countermodel ... % 2.03/1.08 Prover 4: Constructing countermodel ... % 2.03/1.08 Prover 6: Constructing countermodel ... % 2.03/1.08 Prover 3: Constructing countermodel ... % 2.03/1.08 Prover 0: Constructing countermodel ... % 2.03/1.09 Prover 2: Constructing countermodel ... % 2.03/1.09 Prover 5: Constructing countermodel ... % 2.03/1.11 Prover 0: proved (389ms) % 2.03/1.11 Prover 3: proved (390ms) % 2.03/1.12 % 2.03/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.03/1.12 % 2.03/1.12 % 2.03/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.03/1.12 % 2.03/1.12 Prover 6: proved (387ms) % 2.03/1.12 Prover 5: proved (388ms) % 2.03/1.12 % 2.03/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.03/1.12 % 2.03/1.12 % 2.03/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.03/1.12 % 2.03/1.12 Prover 2: proved (390ms) % 2.03/1.12 % 2.03/1.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.03/1.12 % 2.03/1.13 Prover 1: Found proof (size 1) % 2.03/1.13 Prover 4: Found proof (size 1) % 2.03/1.13 Prover 4: proved (393ms) % 2.03/1.13 Prover 1: proved (394ms) % 2.03/1.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 2.03/1.13 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 2.03/1.13 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 2.03/1.13 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 2.03/1.13 Prover 7: Preprocessing ... % 2.03/1.13 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 2.67/1.14 Prover 7: Constructing countermodel ... % 2.67/1.14 Prover 13: Preprocessing ... % 2.67/1.14 Prover 8: Preprocessing ... % 2.67/1.14 Prover 7: stopped % 2.67/1.15 Prover 10: Preprocessing ... % 2.67/1.15 Prover 11: Preprocessing ... % 2.67/1.15 Prover 13: Constructing countermodel ... % 2.67/1.16 Prover 13: stopped % 2.67/1.16 Prover 8: Constructing countermodel ... % 2.67/1.16 Prover 11: Constructing countermodel ... % 2.67/1.16 Prover 8: stopped % 2.67/1.16 Prover 11: stopped % 2.67/1.16 Prover 10: Constructing countermodel ... % 2.67/1.16 Prover 10: stopped % 2.67/1.17 % 2.67/1.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.67/1.17 % 2.67/1.17 % SZS output start Proof for theBenchmark % 2.67/1.17 Assumptions after simplification: % 2.67/1.17 --------------------------------- % 2.67/1.17 % 2.67/1.18 (pel4) % 2.67/1.18 $false % 2.67/1.18 % 2.67/1.18 Those formulas are unsatisfiable: % 2.67/1.18 --------------------------------- % 2.67/1.18 % 2.67/1.18 Begin of proof % 2.67/1.18 | % 2.67/1.18 | CLOSE: (pel4) is inconsistent. % 2.67/1.18 | % 2.67/1.18 End of proof % 2.67/1.18 % SZS output end Proof for theBenchmark % 2.67/1.18 % 2.67/1.18 488ms 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