%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB015+2 : TPTP v8.1.2. Released v5.2.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 20:11:43 EDT 2023 % Result : Theorem 2.73s 1.18s % Output : Proof 3.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWB015+2 : TPTP v8.1.2. Released v5.2.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n002.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Sun Aug 27 06:33:03 EDT 2023 % 0.14/0.35 % CPUTime : % 0.21/0.61 ________ _____ % 0.21/0.61 ___ __ \_________(_)________________________________ % 0.21/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.61 % 0.21/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.61 (2023-06-19) % 0.21/0.61 % 0.21/0.61 (c) Philipp Rümmer, 2009-2023 % 0.21/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.61 Amanda Stjerna. % 0.21/0.61 Free software under BSD-3-Clause. % 0.21/0.61 % 0.21/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.61 % 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.97/1.01 Prover 1: Preprocessing ... % 1.97/1.01 Prover 4: Preprocessing ... % 1.97/1.06 Prover 6: Preprocessing ... % 1.97/1.06 Prover 5: Preprocessing ... % 1.97/1.06 Prover 2: Preprocessing ... % 1.97/1.06 Prover 3: Preprocessing ... % 1.97/1.06 Prover 0: Preprocessing ... % 2.61/1.11 Prover 1: Constructing countermodel ... % 2.61/1.11 Prover 3: Constructing countermodel ... % 2.61/1.11 Prover 4: Constructing countermodel ... % 2.61/1.11 Prover 6: Constructing countermodel ... % 2.61/1.12 Prover 2: Proving ... % 2.61/1.12 Prover 5: Proving ... % 2.73/1.12 Prover 0: Proving ... % 2.73/1.18 Prover 6: proved (534ms) % 2.73/1.18 % 2.73/1.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.73/1.18 % 2.73/1.19 Prover 3: proved (549ms) % 2.73/1.19 % 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.73/1.19 % 2.73/1.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 2.73/1.19 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 2.73/1.19 Prover 2: proved (553ms) % 2.73/1.19 % 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.73/1.19 % 2.73/1.19 Prover 5: proved (546ms) % 2.73/1.19 % 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.73/1.19 % 2.73/1.19 Prover 0: proved (557ms) % 2.73/1.19 % 2.73/1.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 2.73/1.19 % 2.73/1.20 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 2.73/1.20 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 2.73/1.20 Prover 4: Found proof (size 7) % 2.73/1.20 Prover 4: proved (558ms) % 2.73/1.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 2.73/1.20 Prover 1: Found proof (size 7) % 2.73/1.20 Prover 1: proved (565ms) % 2.73/1.20 Prover 7: Preprocessing ... % 2.73/1.20 Prover 11: Preprocessing ... % 2.73/1.20 Prover 10: Preprocessing ... % 2.73/1.20 Prover 8: Preprocessing ... % 2.73/1.21 Prover 7: Warning: ignoring some quantifiers % 2.73/1.21 Prover 7: Constructing countermodel ... % 2.73/1.21 Prover 10: Warning: ignoring some quantifiers % 2.73/1.21 Prover 10: Constructing countermodel ... % 3.35/1.21 Prover 13: Preprocessing ... % 3.35/1.22 Prover 10: stopped % 3.35/1.22 Prover 11: Constructing countermodel ... % 3.35/1.22 Prover 7: stopped % 3.35/1.22 Prover 13: Warning: ignoring some quantifiers % 3.35/1.22 Prover 11: stopped % 3.35/1.22 Prover 13: Constructing countermodel ... % 3.35/1.23 Prover 8: Warning: ignoring some quantifiers % 3.35/1.23 Prover 13: stopped % 3.35/1.23 Prover 8: Constructing countermodel ... % 3.35/1.23 Prover 8: stopped % 3.35/1.23 % 3.35/1.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 3.35/1.23 % 3.35/1.24 % SZS output start Proof for theBenchmark % 3.35/1.24 Assumptions after simplification: % 3.35/1.24 --------------------------------- % 3.35/1.24 % 3.35/1.24 (owl_eqdis_sameas) % 3.35/1.28 $i(uri_owl_sameAs) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 3.35/1.28 (iext(uri_owl_sameAs, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : % 3.35/1.28 ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1) | ~ $i(v0)) % 3.35/1.28 % 3.35/1.28 (testcase_conclusion_fullish_015_Reflective_Tautologies_I) % 3.35/1.29 $i(uri_owl_sameAs) & ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_sameAs, % 3.35/1.29 uri_owl_sameAs, uri_owl_sameAs) = v0) % 3.35/1.29 % 3.35/1.29 Those formulas are unsatisfiable: % 3.35/1.29 --------------------------------- % 3.35/1.29 % 3.35/1.29 Begin of proof % 3.35/1.29 | % 3.35/1.29 | ALPHA: (owl_eqdis_sameas) implies: % 3.35/1.29 | (1) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) % 3.35/1.29 | = v1) | ~ $i(v0)) % 3.35/1.29 | % 3.35/1.29 | ALPHA: (testcase_conclusion_fullish_015_Reflective_Tautologies_I) implies: % 3.35/1.29 | (2) $i(uri_owl_sameAs) % 3.35/1.29 | (3) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_sameAs, uri_owl_sameAs, % 3.35/1.29 | uri_owl_sameAs) = v0) % 3.35/1.29 | % 3.35/1.29 | DELTA: instantiating (3) with fresh symbol all_5_0 gives: % 3.35/1.29 | (4) ~ (all_5_0 = 0) & iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs) % 3.35/1.29 | = all_5_0 % 3.35/1.29 | % 3.35/1.29 | ALPHA: (4) implies: % 3.35/1.29 | (5) ~ (all_5_0 = 0) % 3.35/1.29 | (6) iext(uri_owl_sameAs, uri_owl_sameAs, uri_owl_sameAs) = all_5_0 % 3.35/1.29 | % 3.35/1.30 | GROUND_INST: instantiating (1) with uri_owl_sameAs, all_5_0, simplifying with % 3.35/1.30 | (2), (6) gives: % 3.35/1.30 | (7) all_5_0 = 0 % 3.35/1.30 | % 3.35/1.30 | REDUCE: (5), (7) imply: % 3.35/1.30 | (8) $false % 3.35/1.30 | % 3.35/1.30 | CLOSE: (8) is inconsistent. % 3.35/1.30 | % 3.35/1.30 End of proof % 3.35/1.30 % SZS output end Proof for theBenchmark % 3.35/1.30 % 3.35/1.30 683ms %------------------------------------------------------------------------------