%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB018+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 : n013.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 20:11:45 EDT 2023 % Result : Theorem 3.77s 1.25s % Output : Proof 4.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWB018+2 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.33 % Computer : n013.cluster.edu % 0.10/0.33 % Model : x86_64 x86_64 % 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.33 % Memory : 8042.1875MB % 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.33 % CPULimit : 300 % 0.10/0.33 % WCLimit : 300 % 0.10/0.33 % DateTime : Sun Aug 27 07:03:32 EDT 2023 % 0.10/0.33 % CPUTime : % 0.17/0.58 ________ _____ % 0.17/0.58 ___ __ \_________(_)________________________________ % 0.17/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.17/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.17/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.17/0.58 % 0.17/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.17/0.58 (2023-06-19) % 0.17/0.58 % 0.17/0.58 (c) Philipp Rümmer, 2009-2023 % 0.17/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.17/0.58 Amanda Stjerna. % 0.17/0.58 Free software under BSD-3-Clause. % 0.17/0.58 % 0.17/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.17/0.58 % 0.17/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.17/0.60 Running up to 7 provers in parallel. % 0.17/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.17/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.17/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.17/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.17/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.17/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.17/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.84/0.97 Prover 1: Preprocessing ... % 1.84/0.97 Prover 4: Preprocessing ... % 1.84/1.02 Prover 5: Preprocessing ... % 1.84/1.02 Prover 2: Preprocessing ... % 1.84/1.02 Prover 0: Preprocessing ... % 1.84/1.02 Prover 6: Preprocessing ... % 1.84/1.02 Prover 3: Preprocessing ... % 2.72/1.15 Prover 5: Proving ... % 2.72/1.15 Prover 2: Proving ... % 3.18/1.16 Prover 6: Constructing countermodel ... % 3.24/1.17 Prover 1: Constructing countermodel ... % 3.24/1.17 Prover 3: Constructing countermodel ... % 3.24/1.17 Prover 4: Constructing countermodel ... % 3.24/1.18 Prover 0: Proving ... % 3.77/1.25 Prover 3: proved (633ms) % 3.77/1.25 % 3.77/1.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.77/1.25 % 3.77/1.26 Prover 0: proved (643ms) % 3.77/1.26 % 3.77/1.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.77/1.26 % 3.77/1.26 Prover 2: proved (640ms) % 3.77/1.26 % 3.77/1.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.77/1.26 % 3.77/1.26 Prover 5: proved (633ms) % 3.77/1.26 % 3.77/1.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 3.77/1.26 % 3.77/1.26 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 3.77/1.26 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 3.77/1.26 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 3.77/1.26 Prover 6: stopped % 3.77/1.26 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 3.77/1.26 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 3.77/1.27 Prover 8: Preprocessing ... % 3.77/1.28 Prover 13: Preprocessing ... % 3.77/1.28 Prover 7: Preprocessing ... % 3.77/1.28 Prover 11: Preprocessing ... % 3.77/1.29 Prover 10: Preprocessing ... % 3.77/1.30 Prover 7: Warning: ignoring some quantifiers % 3.77/1.31 Prover 13: Warning: ignoring some quantifiers % 3.77/1.31 Prover 10: Warning: ignoring some quantifiers % 3.77/1.31 Prover 13: Constructing countermodel ... % 3.77/1.31 Prover 7: Constructing countermodel ... % 3.77/1.31 Prover 10: Constructing countermodel ... % 3.77/1.31 Prover 1: Found proof (size 20) % 3.77/1.31 Prover 1: proved (696ms) % 3.77/1.31 Prover 4: stopped % 3.77/1.31 Prover 10: stopped % 3.77/1.31 Prover 8: Warning: ignoring some quantifiers % 3.77/1.31 Prover 13: stopped % 3.77/1.31 Prover 7: stopped % 3.77/1.32 Prover 8: Constructing countermodel ... % 3.77/1.32 Prover 8: stopped % 4.39/1.34 Prover 11: Constructing countermodel ... % 4.39/1.35 Prover 11: stopped % 4.39/1.35 % 4.39/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.39/1.35 % 4.39/1.35 % SZS output start Proof for theBenchmark % 4.39/1.36 Assumptions after simplification: % 4.39/1.36 --------------------------------- % 4.39/1.36 % 4.39/1.36 (owl_eqdis_sameas) % 4.39/1.39 $i(uri_owl_sameAs) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 4.39/1.39 (iext(uri_owl_sameAs, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : % 4.39/1.39 ! [v1: int] : (v1 = 0 | ~ (iext(uri_owl_sameAs, v0, v0) = v1) | ~ $i(v0)) % 4.39/1.39 % 4.39/1.39 (rdfs_cext_def) % 4.39/1.39 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 4.39/1.39 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( % 4.39/1.39 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 4.39/1.39 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) = % 4.39/1.39 0) % 4.39/1.39 % 4.39/1.39 (rdfs_domain_main) % 4.39/1.39 $i(uri_rdfs_domain) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 4.39/1.39 ( ~ (iext(v0, v2, v3) = 0) | ~ (iext(uri_rdfs_domain, v0, v1) = 0) | ~ % 4.39/1.39 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | icext(v1, v2) = 0) % 4.39/1.39 % 4.39/1.39 (testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) % 4.39/1.39 $i(uri_ex_Person) & $i(uri_ex_u) & $i(uri_rdf_type) & ? [v0: int] : ( ~ (v0 = % 4.39/1.39 0) & iext(uri_rdf_type, uri_ex_u, uri_ex_Person) = v0) % 4.39/1.39 % 4.39/1.39 (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) % 4.39/1.39 iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) = 0 & iext(uri_rdfs_domain, % 4.39/1.39 uri_owl_sameAs, uri_ex_Person) = 0 & $i(uri_ex_w) & $i(uri_ex_Person) & % 4.39/1.40 $i(uri_ex_u) & $i(uri_owl_sameAs) & $i(uri_rdfs_domain) % 4.39/1.40 % 4.39/1.40 (function-axioms) % 4.39/1.40 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 4.39/1.40 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, % 4.39/1.40 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 4.39/1.40 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ % 4.39/1.40 (icext(v3, v2) = v0)) % 4.39/1.40 % 4.39/1.40 Those formulas are unsatisfiable: % 4.39/1.40 --------------------------------- % 4.39/1.40 % 4.39/1.40 Begin of proof % 4.39/1.40 | % 4.39/1.40 | ALPHA: (rdfs_cext_def) implies: % 4.39/1.40 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 4.39/1.40 | (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 4.39/1.40 | int] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) % 4.39/1.40 | % 4.39/1.40 | ALPHA: (rdfs_domain_main) implies: % 4.39/1.40 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (iext(v0, % 4.39/1.40 | v2, v3) = 0) | ~ (iext(uri_rdfs_domain, v0, v1) = 0) | ~ $i(v3) % 4.39/1.40 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | icext(v1, v2) = 0) % 4.39/1.40 | % 4.39/1.40 | ALPHA: (owl_eqdis_sameas) implies: % 4.39/1.40 | (3) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (iext(uri_owl_sameAs, v0, v1) % 4.39/1.40 | = 0) | ~ $i(v1) | ~ $i(v0)) % 4.39/1.40 | % 4.39/1.40 | ALPHA: (testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) % 4.39/1.40 | implies: % 4.39/1.40 | (4) $i(uri_owl_sameAs) % 4.39/1.40 | (5) $i(uri_ex_w) % 4.39/1.41 | (6) iext(uri_rdfs_domain, uri_owl_sameAs, uri_ex_Person) = 0 % 4.39/1.41 | (7) iext(uri_owl_sameAs, uri_ex_w, uri_ex_u) = 0 % 4.39/1.41 | % 4.39/1.41 | ALPHA: (testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) % 4.39/1.41 | implies: % 4.39/1.41 | (8) $i(uri_ex_u) % 4.39/1.41 | (9) $i(uri_ex_Person) % 4.39/1.41 | (10) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_rdf_type, uri_ex_u, % 4.39/1.41 | uri_ex_Person) = v0) % 4.39/1.41 | % 4.39/1.41 | ALPHA: (function-axioms) implies: % 4.39/1.41 | (11) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 4.39/1.41 | : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) % 4.39/1.41 | = v0)) % 4.39/1.41 | % 4.39/1.41 | DELTA: instantiating (10) with fresh symbol all_7_0 gives: % 4.39/1.41 | (12) ~ (all_7_0 = 0) & iext(uri_rdf_type, uri_ex_u, uri_ex_Person) = % 4.39/1.41 | all_7_0 % 4.39/1.41 | % 4.39/1.41 | ALPHA: (12) implies: % 4.39/1.41 | (13) ~ (all_7_0 = 0) % 4.39/1.41 | (14) iext(uri_rdf_type, uri_ex_u, uri_ex_Person) = all_7_0 % 4.39/1.41 | % 4.39/1.41 | GROUND_INST: instantiating (1) with uri_ex_u, uri_ex_Person, all_7_0, % 4.39/1.41 | simplifying with (8), (9), (14) gives: % 4.39/1.41 | (15) all_7_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_ex_Person, % 4.39/1.41 | uri_ex_u) = v0) % 4.39/1.41 | % 4.39/1.41 | GROUND_INST: instantiating (2) with uri_owl_sameAs, uri_ex_Person, uri_ex_w, % 4.39/1.41 | uri_ex_u, simplifying with (4), (5), (6), (7), (8), (9) gives: % 4.39/1.41 | (16) icext(uri_ex_Person, uri_ex_w) = 0 % 4.39/1.41 | % 4.39/1.41 | GROUND_INST: instantiating (3) with uri_ex_w, uri_ex_u, simplifying with (5), % 4.39/1.41 | (7), (8) gives: % 4.39/1.41 | (17) uri_ex_w = uri_ex_u % 4.39/1.41 | % 4.39/1.41 | REDUCE: (16), (17) imply: % 4.39/1.41 | (18) icext(uri_ex_Person, uri_ex_u) = 0 % 4.39/1.41 | % 4.39/1.41 | BETA: splitting (15) gives: % 4.39/1.41 | % 4.39/1.41 | Case 1: % 4.39/1.41 | | % 4.39/1.41 | | (19) all_7_0 = 0 % 4.39/1.42 | | % 4.39/1.42 | | REDUCE: (13), (19) imply: % 4.39/1.42 | | (20) $false % 4.39/1.42 | | % 4.39/1.42 | | CLOSE: (20) is inconsistent. % 4.39/1.42 | | % 4.39/1.42 | Case 2: % 4.39/1.42 | | % 4.39/1.42 | | (21) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_ex_Person, uri_ex_u) = v0) % 4.39/1.42 | | % 4.39/1.42 | | DELTA: instantiating (21) with fresh symbol all_19_0 gives: % 4.39/1.42 | | (22) ~ (all_19_0 = 0) & icext(uri_ex_Person, uri_ex_u) = all_19_0 % 4.39/1.42 | | % 4.39/1.42 | | ALPHA: (22) implies: % 4.39/1.42 | | (23) ~ (all_19_0 = 0) % 4.39/1.42 | | (24) icext(uri_ex_Person, uri_ex_u) = all_19_0 % 4.39/1.42 | | % 4.39/1.42 | | GROUND_INST: instantiating (11) with 0, all_19_0, uri_ex_u, uri_ex_Person, % 4.39/1.42 | | simplifying with (18), (24) gives: % 4.39/1.42 | | (25) all_19_0 = 0 % 4.39/1.42 | | % 4.39/1.42 | | REDUCE: (23), (25) imply: % 4.39/1.42 | | (26) $false % 4.39/1.42 | | % 4.39/1.42 | | CLOSE: (26) is inconsistent. % 4.39/1.42 | | % 4.39/1.42 | End of split % 4.39/1.42 | % 4.39/1.42 End of proof % 4.39/1.42 % SZS output end Proof for theBenchmark % 4.39/1.42 % 4.39/1.42 836ms %------------------------------------------------------------------------------