%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB012+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 : n031.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 20:11:40 EDT 2023 % Result : Theorem 13.02s 2.61s % Output : Proof 15.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWB012+2 : TPTP v8.1.2. Released v5.2.0. % 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n031.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sun Aug 27 07:12:54 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.20/1.05 Prover 1: Preprocessing ... % 2.20/1.05 Prover 4: Preprocessing ... % 2.56/1.09 Prover 2: Preprocessing ... % 2.56/1.09 Prover 0: Preprocessing ... % 2.56/1.09 Prover 6: Preprocessing ... % 2.56/1.09 Prover 3: Preprocessing ... % 2.56/1.09 Prover 5: Preprocessing ... % 3.99/1.38 Prover 5: Proving ... % 3.99/1.39 Prover 2: Proving ... % 4.70/1.43 Prover 3: Constructing countermodel ... % 4.70/1.44 Prover 6: Proving ... % 4.70/1.45 Prover 1: Constructing countermodel ... % 6.38/1.67 Prover 3: gave up % 6.38/1.67 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.38/1.68 Prover 1: gave up % 6.38/1.68 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.38/1.69 Prover 7: Preprocessing ... % 6.76/1.70 Prover 8: Preprocessing ... % 7.15/1.77 Prover 7: Constructing countermodel ... % 7.15/1.81 Prover 8: Warning: ignoring some quantifiers % 7.15/1.81 Prover 8: Constructing countermodel ... % 8.20/1.95 Prover 8: gave up % 8.20/1.95 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 8.20/1.97 Prover 9: Preprocessing ... % 13.02/2.61 Prover 2: proved (1979ms) % 13.02/2.61 % 13.02/2.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.02/2.61 % 13.02/2.61 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 13.02/2.61 Prover 6: stopped % 13.02/2.61 Prover 5: stopped % 13.02/2.61 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.02/2.61 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 13.59/2.64 Prover 11: Preprocessing ... % 13.59/2.65 Prover 10: Preprocessing ... % 13.59/2.67 Prover 13: Preprocessing ... % 13.59/2.67 Prover 4: Constructing countermodel ... % 13.59/2.68 Prover 10: Constructing countermodel ... % 13.59/2.71 Prover 13: Constructing countermodel ... % 14.33/2.73 Prover 7: Found proof (size 19) % 14.33/2.73 Prover 7: proved (1062ms) % 14.33/2.74 Prover 11: stopped % 14.33/2.75 Prover 13: stopped % 14.33/2.75 Prover 4: stopped % 14.33/2.75 Prover 10: stopped % 14.33/2.76 Prover 0: Proving ... % 14.33/2.77 Prover 0: stopped % 14.76/2.80 Prover 9: Constructing countermodel ... % 14.76/2.80 Prover 9: stopped % 14.76/2.80 % 14.76/2.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 14.76/2.80 % 14.76/2.81 % SZS output start Proof for theBenchmark % 14.76/2.81 Assumptions after simplification: % 14.76/2.81 --------------------------------- % 14.76/2.81 % 14.76/2.81 (owl_bool_intersectionof_class_003) % 14.76/2.83 $i(uri_owl_intersectionOf) & $i(uri_rdf_nil) & $i(uri_rdf_rest) & % 14.76/2.83 $i(uri_rdf_first) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 14.76/2.83 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | % 14.76/2.83 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 14.76/2.83 icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ % 14.76/2.83 iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v5, % 14.76/2.83 uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, % 14.76/2.83 v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ % 14.76/2.83 iext(uri_rdf_first, v1, v2) | icext(v0, v7)) & ! [v0: $i] : ! [v1: $i] : % 14.76/2.83 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: % 14.76/2.83 $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) % 14.76/2.83 | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, % 14.76/2.83 v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, % 14.76/2.83 v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | % 14.76/2.83 ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v6, % 14.76/2.83 v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 14.76/2.83 : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) % 14.76/2.83 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, % 14.76/2.83 v7) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ iext(uri_rdf_rest, v5, % 14.76/2.83 uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, % 14.76/2.83 v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ % 14.76/2.83 iext(uri_rdf_first, v1, v2) | icext(v4, v7)) & ! [v0: $i] : ! [v1: $i] : % 14.76/2.83 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: % 14.76/2.83 $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) % 14.76/2.83 | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, % 14.76/2.83 v0, v1) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, % 14.76/2.83 v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | % 14.76/2.83 ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | icext(v2, % 14.76/2.83 v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 14.76/2.83 : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 14.76/2.83 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ic(v6) | ~ ic(v4) | ~ ic(v2) | ~ % 14.76/2.83 ic(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, % 14.76/2.83 v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | % 14.76/2.83 iext(uri_owl_intersectionOf, v0, v1) | ? [v7: $i] : ($i(v7) & ( ~ icext(v6, % 14.76/2.83 v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ icext(v0, v7)) & % 14.76/2.83 (icext(v0, v7) | (icext(v6, v7) & icext(v4, v7) & icext(v2, v7))))) & ! % 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] % 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ % 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ % 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v6)) & ! % 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] % 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ % 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ % 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v4)) & ! % 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] % 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ % 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ % 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v2)) & ! % 14.76/2.83 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] % 14.76/2.83 : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ % 14.76/2.83 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ % 14.76/2.83 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 14.76/2.83 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ic(v0)) % 14.76/2.83 % 14.76/2.83 (owl_restrict_hasvalue) % 14.76/2.83 $i(uri_owl_onProperty) & $i(uri_owl_hasValue) & ! [v0: $i] : ! [v1: $i] : ! % 14.76/2.83 [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 14.76/2.83 icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ % 14.76/2.83 iext(uri_owl_hasValue, v0, v2) | iext(v1, v3, v2)) & ! [v0: $i] : ! [v1: % 14.76/2.83 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 14.76/2.83 $i(v0) | ~ iext(v1, v3, v2) | ~ iext(uri_owl_onProperty, v0, v1) | ~ % 14.76/2.83 iext(uri_owl_hasValue, v0, v2) | icext(v0, v3)) % 14.76/2.83 % 14.76/2.83 (rdfs_cext_def) % 14.76/2.83 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 14.76/2.83 icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( % 14.76/2.83 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 14.76/2.83 % 14.76/2.83 (rdfs_domain_main) % 14.76/2.83 $i(uri_rdfs_domain) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 14.76/2.83 ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~ % 14.76/2.83 iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 14.76/2.83 % 14.76/2.83 (testcase_conclusion_fullish_012_Template_Class) % 14.76/2.83 $i(uri_foaf_Person) & $i(uri_ex_alice) & $i(uri_owl_FunctionalProperty) & % 14.76/2.83 $i(uri_ex_name) & $i(uri_rdf_type) & ( ~ iext(uri_rdf_type, uri_ex_alice, % 14.76/2.83 uri_foaf_Person) | ~ iext(uri_rdf_type, uri_ex_name, % 14.76/2.83 uri_owl_FunctionalProperty)) % 14.76/2.83 % 14.76/2.83 (testcase_premise_fullish_012_Template_Class) % 14.76/2.85 $i(dat_str_alice) & $i(uri_owl_Restriction) & $i(uri_owl_DatatypeProperty) & % 14.76/2.85 $i(uri_ex_PersonAttribute) & $i(uri_owl_Class) & $i(uri_foaf_Person) & % 14.76/2.85 $i(uri_ex_alice) & $i(uri_owl_FunctionalProperty) & $i(uri_ex_name) & % 14.76/2.85 $i(uri_owl_onProperty) & $i(uri_owl_hasValue) & $i(uri_owl_intersectionOf) & % 14.76/2.85 $i(uri_rdf_nil) & $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdfs_domain) & % 14.76/2.85 $i(uri_rdf_type) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? % 14.76/2.85 [v4: $i] : (literal_plain(dat_str_alice) = v0 & $i(v4) & $i(v3) & $i(v2) & % 14.76/2.85 $i(v1) & $i(v0) & iext(uri_ex_name, uri_ex_alice, v0) & % 14.76/2.85 iext(uri_owl_onProperty, v4, uri_rdfs_domain) & iext(uri_owl_hasValue, v4, % 14.76/2.85 uri_foaf_Person) & iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, % 14.76/2.85 v1) & iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) & % 14.76/2.85 iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v3, v4) & % 14.76/2.85 iext(uri_rdf_first, v2, uri_owl_FunctionalProperty) & iext(uri_rdf_first, % 14.76/2.85 v1, uri_owl_DatatypeProperty) & iext(uri_rdf_type, v4, % 14.76/2.85 uri_owl_Restriction) & iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class) % 14.76/2.85 & iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute)) % 14.76/2.85 % 14.76/2.85 Those formulas are unsatisfiable: % 14.76/2.85 --------------------------------- % 14.76/2.85 % 14.76/2.85 Begin of proof % 14.76/2.86 | % 14.76/2.86 | ALPHA: (rdfs_cext_def) implies: % 14.76/2.86 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 14.76/2.86 | iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 14.76/2.86 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ icext(v1, v0) | % 14.76/2.86 | iext(uri_rdf_type, v0, v1)) % 14.76/2.86 | % 14.76/2.86 | ALPHA: (rdfs_domain_main) implies: % 14.76/2.86 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 14.76/2.86 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~ % 14.76/2.86 | iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 14.76/2.86 | % 14.76/2.86 | ALPHA: (owl_bool_intersectionof_class_003) implies: % 14.76/2.86 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 14.76/2.86 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ % 14.76/2.86 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 14.76/2.86 | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ % 14.76/2.86 | iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | % 14.76/2.86 | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 14.76/2.86 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | % 14.76/2.86 | icext(v4, v7)) % 14.76/2.86 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 14.76/2.86 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ % 14.76/2.86 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 14.76/2.86 | ~ icext(v0, v7) | ~ iext(uri_owl_intersectionOf, v0, v1) | ~ % 14.76/2.86 | iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | % 14.76/2.86 | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 14.76/2.86 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | % 14.76/2.86 | icext(v6, v7)) % 14.76/2.86 | % 14.76/2.86 | ALPHA: (owl_restrict_hasvalue) implies: % 14.76/2.86 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 14.76/2.86 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v3) | ~ % 14.76/2.86 | iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_hasValue, v0, v2) % 14.76/2.86 | | iext(v1, v3, v2)) % 14.76/2.86 | % 14.76/2.86 | ALPHA: (testcase_premise_fullish_012_Template_Class) implies: % 14.76/2.86 | (7) $i(uri_rdfs_domain) % 14.76/2.87 | (8) $i(uri_ex_PersonAttribute) % 14.76/2.87 | (9) $i(uri_owl_DatatypeProperty) % 15.11/2.87 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.11/2.87 | (literal_plain(dat_str_alice) = v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) % 15.11/2.87 | & $i(v0) & iext(uri_ex_name, uri_ex_alice, v0) & % 15.11/2.87 | iext(uri_owl_onProperty, v4, uri_rdfs_domain) & % 15.11/2.87 | iext(uri_owl_hasValue, v4, uri_foaf_Person) & % 15.11/2.87 | iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, v1) & % 15.11/2.87 | iext(uri_rdf_rest, v3, uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) & % 15.11/2.87 | iext(uri_rdf_rest, v1, v2) & iext(uri_rdf_first, v3, v4) & % 15.11/2.87 | iext(uri_rdf_first, v2, uri_owl_FunctionalProperty) & % 15.11/2.87 | iext(uri_rdf_first, v1, uri_owl_DatatypeProperty) & % 15.11/2.87 | iext(uri_rdf_type, v4, uri_owl_Restriction) & iext(uri_rdf_type, % 15.11/2.87 | uri_foaf_Person, uri_owl_Class) & iext(uri_rdf_type, uri_ex_name, % 15.11/2.87 | uri_ex_PersonAttribute)) % 15.11/2.87 | % 15.11/2.87 | ALPHA: (testcase_conclusion_fullish_012_Template_Class) implies: % 15.12/2.87 | (11) $i(uri_ex_name) % 15.12/2.87 | (12) $i(uri_owl_FunctionalProperty) % 15.12/2.87 | (13) $i(uri_ex_alice) % 15.12/2.87 | (14) $i(uri_foaf_Person) % 15.12/2.87 | (15) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) | ~ % 15.12/2.87 | iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 15.12/2.87 | % 15.12/2.87 | DELTA: instantiating (10) with fresh symbols all_8_0, all_8_1, all_8_2, % 15.12/2.87 | all_8_3, all_8_4 gives: % 15.12/2.87 | (16) literal_plain(dat_str_alice) = all_8_4 & $i(all_8_0) & $i(all_8_1) & % 15.12/2.87 | $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & iext(uri_ex_name, % 15.12/2.87 | uri_ex_alice, all_8_4) & iext(uri_owl_onProperty, all_8_0, % 15.12/2.87 | uri_rdfs_domain) & iext(uri_owl_hasValue, all_8_0, uri_foaf_Person) % 15.12/2.87 | & iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_8_3) & % 15.12/2.87 | iext(uri_rdf_rest, all_8_1, uri_rdf_nil) & iext(uri_rdf_rest, all_8_2, % 15.12/2.87 | all_8_1) & iext(uri_rdf_rest, all_8_3, all_8_2) & % 15.12/2.87 | iext(uri_rdf_first, all_8_1, all_8_0) & iext(uri_rdf_first, all_8_2, % 15.12/2.87 | uri_owl_FunctionalProperty) & iext(uri_rdf_first, all_8_3, % 15.12/2.87 | uri_owl_DatatypeProperty) & iext(uri_rdf_type, all_8_0, % 15.12/2.87 | uri_owl_Restriction) & iext(uri_rdf_type, uri_foaf_Person, % 15.12/2.87 | uri_owl_Class) & iext(uri_rdf_type, uri_ex_name, % 15.12/2.87 | uri_ex_PersonAttribute) % 15.12/2.87 | % 15.12/2.87 | ALPHA: (16) implies: % 15.12/2.87 | (17) iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) % 15.12/2.87 | (18) iext(uri_rdf_first, all_8_3, uri_owl_DatatypeProperty) % 15.12/2.87 | (19) iext(uri_rdf_first, all_8_2, uri_owl_FunctionalProperty) % 15.12/2.87 | (20) iext(uri_rdf_first, all_8_1, all_8_0) % 15.12/2.87 | (21) iext(uri_rdf_rest, all_8_3, all_8_2) % 15.12/2.87 | (22) iext(uri_rdf_rest, all_8_2, all_8_1) % 15.12/2.87 | (23) iext(uri_rdf_rest, all_8_1, uri_rdf_nil) % 15.12/2.87 | (24) iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_8_3) % 15.12/2.87 | (25) iext(uri_owl_hasValue, all_8_0, uri_foaf_Person) % 15.12/2.87 | (26) iext(uri_owl_onProperty, all_8_0, uri_rdfs_domain) % 15.12/2.87 | (27) iext(uri_ex_name, uri_ex_alice, all_8_4) % 15.12/2.87 | (28) $i(all_8_4) % 15.12/2.87 | (29) $i(all_8_3) % 15.12/2.87 | (30) $i(all_8_2) % 15.12/2.87 | (31) $i(all_8_1) % 15.12/2.87 | (32) $i(all_8_0) % 15.12/2.87 | % 15.12/2.87 | GROUND_INST: instantiating (1) with uri_ex_name, uri_ex_PersonAttribute, % 15.12/2.87 | simplifying with (8), (11), (17) gives: % 15.12/2.87 | (33) icext(uri_ex_PersonAttribute, uri_ex_name) % 15.12/2.87 | % 15.12/2.88 | GROUND_INST: instantiating (5) with uri_ex_PersonAttribute, all_8_3, % 15.12/2.88 | uri_owl_DatatypeProperty, all_8_2, uri_owl_FunctionalProperty, % 15.12/2.88 | all_8_1, all_8_0, uri_ex_name, simplifying with (8), (9), (11), % 15.12/2.88 | (12), (18), (19), (20), (21), (22), (23), (24), (29), (30), (31), % 15.12/2.88 | (32), (33) gives: % 15.12/2.88 | (34) icext(all_8_0, uri_ex_name) % 15.12/2.88 | % 15.12/2.88 | GROUND_INST: instantiating (4) with uri_ex_PersonAttribute, all_8_3, % 15.12/2.88 | uri_owl_DatatypeProperty, all_8_2, uri_owl_FunctionalProperty, % 15.12/2.88 | all_8_1, all_8_0, uri_ex_name, simplifying with (8), (9), (11), % 15.12/2.88 | (12), (18), (19), (20), (21), (22), (23), (24), (29), (30), (31), % 15.12/2.88 | (32), (33) gives: % 15.12/2.88 | (35) icext(uri_owl_FunctionalProperty, uri_ex_name) % 15.12/2.88 | % 15.12/2.88 | GROUND_INST: instantiating (2) with uri_ex_name, uri_owl_FunctionalProperty, % 15.12/2.88 | simplifying with (11), (12), (35) gives: % 15.12/2.88 | (36) iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 15.12/2.88 | % 15.12/2.88 | GROUND_INST: instantiating (6) with all_8_0, uri_rdfs_domain, uri_foaf_Person, % 15.12/2.88 | uri_ex_name, simplifying with (7), (11), (14), (25), (26), (32), % 15.12/2.88 | (34) gives: % 15.12/2.88 | (37) iext(uri_rdfs_domain, uri_ex_name, uri_foaf_Person) % 15.12/2.88 | % 15.12/2.88 | BETA: splitting (15) gives: % 15.12/2.88 | % 15.12/2.88 | Case 1: % 15.12/2.88 | | % 15.12/2.88 | | (38) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) % 15.12/2.88 | | % 15.12/2.88 | | GROUND_INST: instantiating (3) with uri_ex_name, uri_foaf_Person, % 15.12/2.88 | | uri_ex_alice, all_8_4, simplifying with (11), (13), (14), (27), % 15.12/2.88 | | (28), (37) gives: % 15.12/2.88 | | (39) icext(uri_foaf_Person, uri_ex_alice) % 15.12/2.88 | | % 15.12/2.88 | | GROUND_INST: instantiating (2) with uri_ex_alice, uri_foaf_Person, % 15.12/2.88 | | simplifying with (13), (14), (38), (39) gives: % 15.12/2.88 | | (40) $false % 15.12/2.88 | | % 15.12/2.88 | | CLOSE: (40) is inconsistent. % 15.12/2.88 | | % 15.12/2.88 | Case 2: % 15.12/2.88 | | % 15.12/2.88 | | (41) ~ iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 15.12/2.88 | | % 15.12/2.88 | | PRED_UNIFY: (36), (41) imply: % 15.12/2.88 | | (42) $false % 15.12/2.88 | | % 15.12/2.88 | | CLOSE: (42) is inconsistent. % 15.12/2.88 | | % 15.12/2.88 | End of split % 15.12/2.88 | % 15.12/2.88 End of proof % 15.12/2.88 % SZS output end Proof for theBenchmark % 15.12/2.88 % 15.12/2.88 2274ms %------------------------------------------------------------------------------