%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS093+1 : TPTP v8.1.2. Released v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 05:51:13 EDT 2023 % Result : Unsatisfiable 3.84s 1.29s % Output : Proof 4.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS093+1 : TPTP v8.1.2. Released v3.1.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n015.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Mon Aug 28 02:35:54 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.61 ________ _____ % 0.20/0.61 ___ __ \_________(_)________________________________ % 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.61 % 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.61 (2023-06-19) % 0.20/0.61 % 0.20/0.61 (c) Philipp Rümmer, 2009-2023 % 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.61 Amanda Stjerna. % 0.20/0.61 Free software under BSD-3-Clause. % 0.20/0.61 % 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.61 % 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.62 Running up to 7 provers in parallel. % 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.89/0.95 Prover 4: Preprocessing ... % 1.89/0.96 Prover 1: Preprocessing ... % 1.89/1.00 Prover 2: Preprocessing ... % 1.89/1.00 Prover 6: Preprocessing ... % 1.89/1.00 Prover 0: Preprocessing ... % 1.89/1.00 Prover 5: Preprocessing ... % 1.89/1.00 Prover 3: Preprocessing ... % 2.97/1.17 Prover 5: Proving ... % 2.97/1.17 Prover 2: Proving ... % 3.56/1.18 Prover 1: Constructing countermodel ... % 3.71/1.21 Prover 3: Constructing countermodel ... % 3.71/1.21 Prover 6: Constructing countermodel ... % 3.84/1.24 Prover 4: Constructing countermodel ... % 3.84/1.27 Prover 3: gave up % 3.84/1.27 Prover 1: gave up % 3.84/1.27 Prover 6: gave up % 3.84/1.28 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 3.84/1.28 Prover 5: proved (641ms) % 3.84/1.28 % 3.84/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.84/1.29 % 3.84/1.29 Prover 2: proved (643ms) % 3.84/1.29 % 3.84/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.84/1.29 % 3.84/1.29 Prover 7: Preprocessing ... % 3.84/1.29 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 3.84/1.29 Prover 0: Proving ... % 3.84/1.29 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 3.84/1.29 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 3.84/1.29 Prover 0: stopped % 3.84/1.30 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 3.84/1.30 Prover 8: Preprocessing ... % 3.84/1.30 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 3.84/1.31 Prover 7: Warning: ignoring some quantifiers % 3.84/1.31 Prover 13: Preprocessing ... % 4.54/1.32 Prover 9: Preprocessing ... % 4.54/1.32 Prover 7: Constructing countermodel ... % 4.54/1.33 Prover 11: Preprocessing ... % 4.54/1.35 Prover 10: Preprocessing ... % 4.54/1.36 Prover 13: Warning: ignoring some quantifiers % 4.54/1.36 Prover 13: Constructing countermodel ... % 4.54/1.37 Prover 10: Warning: ignoring some quantifiers % 4.54/1.37 Prover 10: Constructing countermodel ... % 4.54/1.37 Prover 7: Found proof (size 8) % 4.54/1.37 Prover 7: proved (106ms) % 4.54/1.37 Prover 13: stopped % 4.54/1.38 Prover 10: stopped % 4.54/1.38 Prover 4: stopped % 4.54/1.38 Prover 8: Warning: ignoring some quantifiers % 4.54/1.39 Prover 8: Constructing countermodel ... % 4.54/1.40 Prover 8: stopped % 4.54/1.43 Prover 11: Constructing countermodel ... % 4.54/1.43 Prover 9: Constructing countermodel ... % 4.54/1.44 Prover 9: stopped % 4.54/1.44 Prover 11: stopped % 4.54/1.44 % 4.54/1.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 4.54/1.44 % 4.54/1.44 % SZS output start Proof for theBenchmark % 4.54/1.45 Assumptions after simplification: % 4.54/1.45 --------------------------------- % 4.54/1.45 % 4.54/1.45 (axiom_2) % 4.54/1.45 ! [v0: $i] : ( ~ $i(v0) | ~ ce3(v0) | ~ cf(v0) | cUnsatisfiable(v0)) & ! % 4.54/1.45 [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ce3(v0)) & ! [v0: $i] : ( ~ % 4.54/1.45 $i(v0) | ~ cUnsatisfiable(v0) | cf(v0)) % 4.54/1.45 % 4.54/1.45 (axiom_3) % 4.54/1.45 ! [v0: $i] : ( ~ $i(v0) | ~ cd(v0) | ~ cc(v0)) % 4.54/1.45 % 4.54/1.45 (axiom_6) % 4.54/1.45 ! [v0: $i] : ( ~ $i(v0) | ~ ce3(v0) | cc(v0)) % 4.54/1.45 % 4.54/1.45 (axiom_7) % 4.54/1.45 ! [v0: $i] : ( ~ $i(v0) | ~ cf(v0) | cd(v0)) % 4.54/1.45 % 4.54/1.45 (axiom_8) % 4.54/1.45 $i(i2003_11_14_17_20_07201) & cUnsatisfiable(i2003_11_14_17_20_07201) % 4.54/1.45 % 4.54/1.45 Further assumptions not needed in the proof: % 4.54/1.45 -------------------------------------------- % 4.54/1.45 axiom_0, axiom_1, axiom_4, axiom_5 % 4.54/1.45 % 4.54/1.45 Those formulas are unsatisfiable: % 4.54/1.45 --------------------------------- % 4.54/1.45 % 4.54/1.45 Begin of proof % 4.54/1.46 | % 4.54/1.46 | ALPHA: (axiom_8) implies: % 4.54/1.46 | (1) cUnsatisfiable(i2003_11_14_17_20_07201) % 4.54/1.46 | (2) $i(i2003_11_14_17_20_07201) % 4.54/1.46 | % 4.54/1.46 | ALPHA: (axiom_2) implies: % 4.54/1.46 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | cf(v0)) % 4.54/1.46 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ce3(v0)) % 4.54/1.46 | % 4.54/1.46 | GROUND_INST: instantiating (4) with i2003_11_14_17_20_07201, simplifying with % 4.54/1.46 | (1), (2) gives: % 4.54/1.46 | (5) ce3(i2003_11_14_17_20_07201) % 4.54/1.46 | % 4.54/1.46 | GROUND_INST: instantiating (3) with i2003_11_14_17_20_07201, simplifying with % 4.54/1.46 | (1), (2) gives: % 4.54/1.46 | (6) cf(i2003_11_14_17_20_07201) % 4.54/1.46 | % 4.54/1.46 | GROUND_INST: instantiating (axiom_7) with i2003_11_14_17_20_07201, simplifying % 4.54/1.46 | with (2), (6) gives: % 4.54/1.47 | (7) cd(i2003_11_14_17_20_07201) % 4.54/1.47 | % 4.54/1.47 | GROUND_INST: instantiating (axiom_6) with i2003_11_14_17_20_07201, simplifying % 4.54/1.47 | with (2), (5) gives: % 4.54/1.47 | (8) cc(i2003_11_14_17_20_07201) % 4.54/1.47 | % 4.54/1.47 | GROUND_INST: instantiating (axiom_3) with i2003_11_14_17_20_07201, simplifying % 4.54/1.47 | with (2), (7), (8) gives: % 4.54/1.47 | (9) $false % 4.54/1.47 | % 4.54/1.47 | CLOSE: (9) is inconsistent. % 4.54/1.47 | % 4.54/1.47 End of proof % 4.54/1.47 % SZS output end Proof for theBenchmark % 4.54/1.47 % 4.54/1.47 857ms %------------------------------------------------------------------------------