%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB012+3 : 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 20:11:40 EDT 2023 % Result : Theorem 259.37s 35.81s % Output : Proof 259.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWB012+3 : TPTP v8.1.2. Released v5.2.0. % 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.36 % Computer : n002.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sun Aug 27 07:01:49 EDT 2023 % 0.14/0.36 % CPUTime : % 0.21/0.62 ________ _____ % 0.21/0.62 ___ __ \_________(_)________________________________ % 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.62 % 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.62 (2023-06-19) % 0.21/0.62 % 0.21/0.62 (c) Philipp Rümmer, 2009-2023 % 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.62 Amanda Stjerna. % 0.21/0.62 Free software under BSD-3-Clause. % 0.21/0.62 % 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.62 % 0.21/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.63 Running up to 7 provers in parallel. % 0.21/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.64 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 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 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 % 5.53/1.47 Prover 4: Preprocessing ... % 5.53/1.48 Prover 1: Preprocessing ... % 5.53/1.50 Prover 0: Preprocessing ... % 5.53/1.50 Prover 2: Preprocessing ... % 5.53/1.50 Prover 6: Preprocessing ... % 5.53/1.50 Prover 3: Preprocessing ... % 5.53/1.50 Prover 5: Preprocessing ... % 11.54/2.25 Prover 2: Proving ... % 11.54/2.26 Prover 5: Proving ... % 13.71/2.58 Prover 3: Constructing countermodel ... % 13.71/2.59 Prover 6: Proving ... % 14.51/2.68 Prover 1: Constructing countermodel ... % 24.71/4.06 Prover 4: Constructing countermodel ... % 29.57/4.75 Prover 0: Proving ... % 75.12/10.68 Prover 2: stopped % 75.12/10.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 76.33/10.82 Prover 7: Preprocessing ... % 77.46/10.94 Prover 7: Warning: ignoring some quantifiers % 77.88/10.96 Prover 7: Constructing countermodel ... % 100.92/13.98 Prover 5: stopped % 100.92/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 101.97/14.11 Prover 8: Preprocessing ... % 104.03/14.37 Prover 8: Warning: ignoring some quantifiers % 104.33/14.40 Prover 8: Constructing countermodel ... % 115.75/15.99 Prover 1: stopped % 115.75/15.99 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 116.41/16.08 Prover 9: Preprocessing ... % 123.04/16.93 Prover 9: Constructing countermodel ... % 130.72/17.93 Prover 6: stopped % 130.72/17.95 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 131.65/18.05 Prover 10: Preprocessing ... % 131.97/18.18 Prover 10: Warning: ignoring some quantifiers % 131.97/18.20 Prover 10: Constructing countermodel ... % 202.69/27.98 Prover 4: stopped % 202.69/27.98 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 212.86/29.31 Prover 11: Preprocessing ... % 219.78/30.26 Prover 11: Constructing countermodel ... % 221.33/30.48 Prover 7: stopped % 221.33/30.48 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 221.33/30.52 Prover 12: Preprocessing ... % 223.41/30.71 Prover 12: Proving ... % 229.28/31.63 Prover 12: stopped % 229.28/31.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 230.06/31.68 Prover 13: Preprocessing ... % 230.76/31.76 Prover 13: Warning: ignoring some quantifiers % 230.76/31.76 Prover 13: Constructing countermodel ... % 251.67/34.77 Prover 13: stopped % 252.17/34.79 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379 % 252.17/34.86 Prover 14: Preprocessing ... % 259.13/35.69 Prover 10: Found proof (size 19) % 259.13/35.70 Prover 10: proved (17749ms) % 259.13/35.70 Prover 11: stopped % 259.13/35.70 Prover 9: stopped % 259.31/35.71 Prover 3: stopped % 259.31/35.71 Prover 8: stopped % 259.37/35.73 Prover 0: stopped % 259.37/35.80 Prover 14: Proving ... % 259.37/35.81 Prover 14: stopped % 259.37/35.81 % 259.37/35.81 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 259.37/35.81 % 259.64/35.81 % SZS output start Proof for theBenchmark % 259.64/35.82 Assumptions after simplification: % 259.64/35.82 --------------------------------- % 259.64/35.82 % 259.64/35.82 (owl_bool_intersectionof_class_003) % 259.64/35.84 $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdf_nil) & % 259.64/35.84 $i(uri_owl_intersectionOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 259.64/35.84 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | % 259.64/35.84 ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 259.64/35.84 $i(v0) | ~ icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | ~ % 259.64/35.84 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ % 259.64/35.84 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 259.64/35.84 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 259.64/35.84 iext(uri_owl_intersectionOf, v0, v1) | icext(v0, v7)) & ! [v0: $i] : ! % 259.64/35.84 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 259.64/35.84 : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | % 259.64/35.84 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v7) | ~ iext(uri_rdf_rest, % 259.64/35.84 v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, % 259.64/35.84 v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) % 259.64/35.84 | ~ iext(uri_rdf_first, v1, v2) | ~ iext(uri_owl_intersectionOf, v0, v1) | % 259.64/35.84 icext(v6, v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 259.64/35.84 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | % 259.64/35.84 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 259.64/35.84 icext(v0, v7) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ % 259.64/35.84 iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 259.64/35.84 iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ % 259.64/35.84 iext(uri_rdf_first, v1, v2) | ~ iext(uri_owl_intersectionOf, v0, v1) | % 259.64/35.84 icext(v4, v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 259.64/35.84 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | % 259.64/35.84 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 259.64/35.84 icext(v0, v7) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ % 259.64/35.84 iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 259.64/35.84 iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ % 259.64/35.84 iext(uri_rdf_first, v1, v2) | ~ iext(uri_owl_intersectionOf, v0, v1) | % 259.64/35.84 icext(v2, v7)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 259.64/35.84 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ % 259.64/35.84 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ic(v6) | ~ ic(v4) | ~ % 259.64/35.84 ic(v2) | ~ ic(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ % 259.64/35.84 iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 259.64/35.84 iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ % 259.64/35.84 iext(uri_rdf_first, v1, v2) | iext(uri_owl_intersectionOf, v0, v1) | ? [v7: % 259.64/35.84 $i] : ($i(v7) & ( ~ icext(v6, v7) | ~ icext(v4, v7) | ~ icext(v2, v7) | % 259.64/35.84 ~ icext(v0, v7)) & (icext(v0, v7) | (icext(v6, v7) & icext(v4, v7) & % 259.64/35.84 icext(v2, v7))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 259.64/35.84 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ $i(v6) | ~ $i(v5) | ~ % 259.64/35.84 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 259.64/35.84 iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, v5) | ~ % 259.64/35.84 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 259.64/35.84 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 259.64/35.84 iext(uri_owl_intersectionOf, v0, v1) | ic(v6)) & ! [v0: $i] : ! [v1: $i] : % 259.64/35.84 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 259.64/35.84 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 259.64/35.84 $i(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, % 259.64/35.84 v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 259.64/35.84 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 259.64/35.84 iext(uri_owl_intersectionOf, v0, v1) | ic(v4)) & ! [v0: $i] : ! [v1: $i] : % 259.64/35.84 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 259.64/35.84 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 259.64/35.84 $i(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, % 259.64/35.84 v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 259.64/35.84 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 259.64/35.84 iext(uri_owl_intersectionOf, v0, v1) | ic(v2)) & ! [v0: $i] : ! [v1: $i] : % 259.64/35.84 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 259.64/35.84 $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 259.64/35.84 $i(v0) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ iext(uri_rdf_rest, v3, % 259.64/35.84 v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v5, v6) | ~ % 259.64/35.84 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 259.64/35.84 iext(uri_owl_intersectionOf, v0, v1) | ic(v0)) % 259.64/35.84 % 259.64/35.84 (owl_restrict_hasvalue) % 259.64/35.84 $i(uri_owl_onProperty) & $i(uri_owl_hasValue) & ! [v0: $i] : ! [v1: $i] : ! % 259.64/35.84 [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 259.64/35.84 icext(v0, v3) | ~ iext(uri_owl_onProperty, v0, v1) | ~ % 259.64/35.84 iext(uri_owl_hasValue, v0, v2) | iext(v1, v3, v2)) & ! [v0: $i] : ! [v1: % 259.64/35.84 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 259.64/35.84 $i(v0) | ~ iext(v1, v3, v2) | ~ iext(uri_owl_onProperty, v0, v1) | ~ % 259.64/35.84 iext(uri_owl_hasValue, v0, v2) | icext(v0, v3)) % 259.64/35.84 % 259.64/35.84 (rdfs_cext_def) % 259.64/35.84 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 259.64/35.84 icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( % 259.64/35.84 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 259.64/35.84 % 259.64/35.84 (rdfs_domain_main) % 259.64/35.84 $i(uri_rdfs_domain) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 259.64/35.84 ( ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~ % 259.64/35.84 iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 259.64/35.84 % 259.64/35.84 (testcase_conclusion_fullish_012_Template_Class) % 259.64/35.85 $i(uri_foaf_Person) & $i(uri_ex_alice) & $i(uri_owl_FunctionalProperty) & % 259.64/35.85 $i(uri_ex_name) & $i(uri_rdf_type) & ( ~ iext(uri_rdf_type, uri_ex_alice, % 259.64/35.85 uri_foaf_Person) | ~ iext(uri_rdf_type, uri_ex_name, % 259.64/35.85 uri_owl_FunctionalProperty)) % 259.64/35.85 % 259.64/35.85 (testcase_premise_fullish_012_Template_Class) % 259.64/35.87 $i(dat_str_alice) & $i(uri_ex_PersonAttribute) & $i(uri_owl_Class) & % 259.64/35.87 $i(uri_foaf_Person) & $i(uri_ex_alice) & $i(uri_owl_FunctionalProperty) & % 259.64/35.87 $i(uri_ex_name) & $i(uri_rdfs_domain) & $i(uri_owl_onProperty) & % 259.64/35.87 $i(uri_owl_hasValue) & $i(uri_owl_Restriction) & $i(uri_owl_DatatypeProperty) % 259.64/35.87 & $i(uri_rdf_type) & $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdf_nil) & % 259.64/35.87 $i(uri_owl_intersectionOf) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: % 259.64/35.87 $i] : ? [v4: $i] : (literal_plain(dat_str_alice) = v0 & $i(v4) & $i(v3) & % 259.64/35.87 $i(v2) & $i(v1) & $i(v0) & iext(uri_ex_name, uri_ex_alice, v0) & % 259.64/35.87 iext(uri_owl_onProperty, v4, uri_rdfs_domain) & iext(uri_owl_hasValue, v4, % 259.64/35.87 uri_foaf_Person) & iext(uri_rdf_type, v4, uri_owl_Restriction) & % 259.64/35.87 iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class) & iext(uri_rdf_type, % 259.64/35.87 uri_ex_name, uri_ex_PersonAttribute) & iext(uri_rdf_rest, v3, uri_rdf_nil) % 259.64/35.87 & iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_rest, v1, v2) & % 259.64/35.87 iext(uri_rdf_first, v3, v4) & iext(uri_rdf_first, v2, % 259.64/35.87 uri_owl_FunctionalProperty) & iext(uri_rdf_first, v1, % 259.64/35.87 uri_owl_DatatypeProperty) & iext(uri_owl_intersectionOf, % 259.64/35.87 uri_ex_PersonAttribute, v1)) % 259.64/35.87 % 259.64/35.87 Further assumptions not needed in the proof: % 259.64/35.87 -------------------------------------------- % 259.64/35.87 owl_bool_complementof_class, owl_bool_intersectionof_class_000, % 259.64/35.87 owl_bool_intersectionof_class_001, owl_bool_intersectionof_class_002, % 259.64/35.87 owl_bool_unionof_class_000, owl_bool_unionof_class_001, % 259.64/35.87 owl_bool_unionof_class_002, owl_bool_unionof_class_003, owl_class_nothing_ext, % 259.64/35.87 owl_class_nothing_type, owl_class_thing_ext, owl_class_thing_type, % 259.64/35.87 owl_parts_ic_cond_inst, owl_parts_ic_cond_set, owl_parts_ic_def, % 259.64/35.87 owl_parts_idc_cond_inst, owl_parts_idc_cond_set, owl_parts_idc_def, % 259.64/35.87 owl_parts_ioap_cond_inst, owl_parts_ioap_cond_set, owl_parts_ioap_def, % 259.64/35.87 owl_parts_iodp_cond_inst, owl_parts_iodp_cond_set, owl_parts_iodp_def, % 259.64/35.87 owl_parts_ioxp_cond_inst, owl_parts_ioxp_cond_set, owl_parts_ioxp_def, % 259.64/35.87 owl_parts_ip_cond_inst, owl_parts_ip_cond_set, owl_parts_ip_def, % 259.64/35.87 owl_parts_ir_cond_set, owl_parts_ir_def, owl_parts_ix_cond_set, % 259.64/35.87 owl_parts_ix_def, owl_parts_lv_cond_set, owl_parts_lv_def, % 259.64/35.87 owl_prop_allvaluesfrom_ext, owl_prop_allvaluesfrom_type, % 259.64/35.87 owl_prop_complementof_ext, owl_prop_complementof_type, owl_prop_hasvalue_ext, % 259.64/35.87 owl_prop_hasvalue_type, owl_prop_intersectionof_ext, % 259.64/35.87 owl_prop_intersectionof_type, owl_prop_onproperty_ext, owl_prop_onproperty_type, % 259.64/35.87 owl_prop_somevaluesfrom_ext, owl_prop_somevaluesfrom_type, owl_prop_unionof_ext, % 259.64/35.87 owl_prop_unionof_type, owl_rdfsext_domain, owl_rdfsext_range, % 259.64/35.87 owl_rdfsext_subclassof, owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom, % 259.64/35.87 owl_restrict_somevaluesfrom, rdf_collection_first_type, rdf_collection_nil_type, % 259.64/35.87 rdf_collection_rest_type, rdf_container_n_type_001, rdf_container_n_type_002, % 259.64/35.87 rdf_container_n_type_003, rdf_reification_object_type, % 259.64/35.87 rdf_reification_predicate_type, rdf_reification_subject_type, rdf_type_ip, % 259.64/35.87 rdf_type_type, rdf_value_type, rdfs_annotation_comment_domain, % 259.64/35.87 rdfs_annotation_comment_range, rdfs_annotation_isdefinedby_domain, % 259.64/35.87 rdfs_annotation_isdefinedby_range, rdfs_annotation_isdefinedby_sub, % 259.64/35.87 rdfs_annotation_label_domain, rdfs_annotation_label_range, % 259.64/35.87 rdfs_annotation_seealso_domain, rdfs_annotation_seealso_range, % 259.64/35.87 rdfs_class_instsub_resource, rdfs_collection_first_domain, % 259.64/35.87 rdfs_collection_first_range, rdfs_collection_rest_domain, % 259.64/35.87 rdfs_collection_rest_range, rdfs_container_alt_sub, rdfs_container_bag_sub, % 259.64/35.87 rdfs_container_containermembershipproperty_instsub_member, % 259.64/35.87 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain, % 259.64/35.87 rdfs_container_member_range, rdfs_container_n_domain_001, % 259.64/35.87 rdfs_container_n_domain_002, rdfs_container_n_domain_003, % 259.64/35.87 rdfs_container_n_range_001, rdfs_container_n_range_002, % 259.64/35.87 rdfs_container_n_range_003, rdfs_container_n_type_001, % 259.64/35.87 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub, % 259.64/35.87 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type, % 259.64/35.87 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain, % 259.64/35.87 rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def, rdfs_property_type, % 259.64/35.87 rdfs_range_domain, rdfs_range_main, rdfs_range_range, % 259.64/35.87 rdfs_reification_object_domain, rdfs_reification_object_range, % 259.64/35.87 rdfs_reification_predicate_domain, rdfs_reification_predicate_range, % 259.64/35.87 rdfs_reification_subject_domain, rdfs_reification_subject_range, % 259.64/35.87 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range, % 259.64/35.87 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain, % 259.64/35.87 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex, % 259.64/35.87 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain, % 259.64/35.87 rdfs_value_range, simple_iext_property, simple_ir, simple_lv % 259.64/35.87 % 259.64/35.87 Those formulas are unsatisfiable: % 259.64/35.87 --------------------------------- % 259.64/35.87 % 259.64/35.87 Begin of proof % 259.64/35.87 | % 259.64/35.87 | ALPHA: (owl_bool_intersectionof_class_003) implies: % 259.64/35.87 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 259.64/35.87 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ % 259.64/35.87 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 259.64/35.87 | ~ icext(v0, v7) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ % 259.64/35.87 | iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 259.64/35.87 | iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ % 259.64/35.87 | iext(uri_rdf_first, v1, v2) | ~ iext(uri_owl_intersectionOf, v0, v1) % 259.64/35.87 | | icext(v4, v7)) % 259.64/35.88 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 259.64/35.88 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ $i(v7) | ~ $i(v6) | ~ % 259.64/35.88 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 259.64/35.88 | ~ icext(v0, v7) | ~ iext(uri_rdf_rest, v5, uri_rdf_nil) | ~ % 259.64/35.88 | iext(uri_rdf_rest, v3, v5) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 259.64/35.88 | iext(uri_rdf_first, v5, v6) | ~ iext(uri_rdf_first, v3, v4) | ~ % 259.64/35.88 | iext(uri_rdf_first, v1, v2) | ~ iext(uri_owl_intersectionOf, v0, v1) % 259.64/35.88 | | icext(v6, v7)) % 259.64/35.88 | % 259.64/35.88 | ALPHA: (owl_restrict_hasvalue) implies: % 259.64/35.88 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 259.64/35.88 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, v3) | ~ % 259.64/35.88 | iext(uri_owl_onProperty, v0, v1) | ~ iext(uri_owl_hasValue, v0, v2) % 259.64/35.88 | | iext(v1, v3, v2)) % 259.64/35.88 | % 259.64/35.88 | ALPHA: (rdfs_cext_def) implies: % 259.64/35.88 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 259.64/35.88 | iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 259.64/35.88 | (5) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ icext(v1, v0) | % 259.64/35.88 | iext(uri_rdf_type, v0, v1)) % 259.64/35.88 | % 259.64/35.88 | ALPHA: (rdfs_domain_main) implies: % 259.64/35.88 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ % 259.64/35.88 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(v0, v2, v3) | ~ % 259.64/35.88 | iext(uri_rdfs_domain, v0, v1) | icext(v1, v2)) % 259.64/35.88 | % 259.64/35.88 | ALPHA: (testcase_premise_fullish_012_Template_Class) implies: % 259.64/35.88 | (7) $i(uri_owl_DatatypeProperty) % 259.64/35.88 | (8) $i(uri_rdfs_domain) % 259.64/35.88 | (9) $i(uri_ex_PersonAttribute) % 259.64/35.88 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 259.64/35.88 | (literal_plain(dat_str_alice) = v0 & $i(v4) & $i(v3) & $i(v2) & $i(v1) % 259.64/35.88 | & $i(v0) & iext(uri_ex_name, uri_ex_alice, v0) & % 259.64/35.88 | iext(uri_owl_onProperty, v4, uri_rdfs_domain) & % 259.64/35.88 | iext(uri_owl_hasValue, v4, uri_foaf_Person) & iext(uri_rdf_type, v4, % 259.64/35.88 | uri_owl_Restriction) & iext(uri_rdf_type, uri_foaf_Person, % 259.64/35.88 | uri_owl_Class) & iext(uri_rdf_type, uri_ex_name, % 259.64/35.88 | uri_ex_PersonAttribute) & iext(uri_rdf_rest, v3, uri_rdf_nil) & % 259.64/35.88 | iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_rest, v1, v2) & % 259.64/35.88 | iext(uri_rdf_first, v3, v4) & iext(uri_rdf_first, v2, % 259.64/35.88 | uri_owl_FunctionalProperty) & iext(uri_rdf_first, v1, % 259.64/35.88 | uri_owl_DatatypeProperty) & iext(uri_owl_intersectionOf, % 259.64/35.88 | uri_ex_PersonAttribute, v1)) % 259.64/35.88 | % 259.64/35.88 | ALPHA: (testcase_conclusion_fullish_012_Template_Class) implies: % 259.64/35.88 | (11) $i(uri_ex_name) % 259.64/35.88 | (12) $i(uri_owl_FunctionalProperty) % 259.64/35.88 | (13) $i(uri_ex_alice) % 259.64/35.88 | (14) $i(uri_foaf_Person) % 259.64/35.88 | (15) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) | ~ % 259.64/35.88 | iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 259.64/35.88 | % 259.64/35.88 | DELTA: instantiating (10) with fresh symbols all_77_0, all_77_1, all_77_2, % 259.64/35.88 | all_77_3, all_77_4 gives: % 259.64/35.88 | (16) literal_plain(dat_str_alice) = all_77_4 & $i(all_77_0) & $i(all_77_1) % 259.64/35.88 | & $i(all_77_2) & $i(all_77_3) & $i(all_77_4) & iext(uri_ex_name, % 259.64/35.88 | uri_ex_alice, all_77_4) & iext(uri_owl_onProperty, all_77_0, % 259.64/35.88 | uri_rdfs_domain) & iext(uri_owl_hasValue, all_77_0, uri_foaf_Person) % 259.64/35.88 | & iext(uri_rdf_type, all_77_0, uri_owl_Restriction) & % 259.64/35.88 | iext(uri_rdf_type, uri_foaf_Person, uri_owl_Class) & % 259.64/35.88 | iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) & % 259.64/35.88 | iext(uri_rdf_rest, all_77_1, uri_rdf_nil) & iext(uri_rdf_rest, % 259.64/35.88 | all_77_2, all_77_1) & iext(uri_rdf_rest, all_77_3, all_77_2) & % 259.64/35.88 | iext(uri_rdf_first, all_77_1, all_77_0) & iext(uri_rdf_first, % 259.64/35.88 | all_77_2, uri_owl_FunctionalProperty) & iext(uri_rdf_first, % 259.64/35.88 | all_77_3, uri_owl_DatatypeProperty) & iext(uri_owl_intersectionOf, % 259.64/35.88 | uri_ex_PersonAttribute, all_77_3) % 259.64/35.88 | % 259.64/35.88 | ALPHA: (16) implies: % 259.99/35.88 | (17) iext(uri_owl_intersectionOf, uri_ex_PersonAttribute, all_77_3) % 259.99/35.88 | (18) iext(uri_rdf_first, all_77_3, uri_owl_DatatypeProperty) % 259.99/35.88 | (19) iext(uri_rdf_first, all_77_2, uri_owl_FunctionalProperty) % 259.99/35.88 | (20) iext(uri_rdf_first, all_77_1, all_77_0) % 259.99/35.88 | (21) iext(uri_rdf_rest, all_77_3, all_77_2) % 259.99/35.89 | (22) iext(uri_rdf_rest, all_77_2, all_77_1) % 259.99/35.89 | (23) iext(uri_rdf_rest, all_77_1, uri_rdf_nil) % 259.99/35.89 | (24) iext(uri_rdf_type, uri_ex_name, uri_ex_PersonAttribute) % 259.99/35.89 | (25) iext(uri_owl_hasValue, all_77_0, uri_foaf_Person) % 259.99/35.89 | (26) iext(uri_owl_onProperty, all_77_0, uri_rdfs_domain) % 259.99/35.89 | (27) iext(uri_ex_name, uri_ex_alice, all_77_4) % 259.99/35.89 | (28) $i(all_77_4) % 259.99/35.89 | (29) $i(all_77_3) % 259.99/35.89 | (30) $i(all_77_2) % 259.99/35.89 | (31) $i(all_77_1) % 259.99/35.89 | (32) $i(all_77_0) % 259.99/35.89 | % 259.99/35.89 | GROUND_INST: instantiating (4) with uri_ex_name, uri_ex_PersonAttribute, % 259.99/35.89 | simplifying with (9), (11), (24) gives: % 259.99/35.89 | (33) icext(uri_ex_PersonAttribute, uri_ex_name) % 259.99/35.89 | % 259.99/35.89 | GROUND_INST: instantiating (2) with uri_ex_PersonAttribute, all_77_3, % 259.99/35.89 | uri_owl_DatatypeProperty, all_77_2, uri_owl_FunctionalProperty, % 259.99/35.89 | all_77_1, all_77_0, uri_ex_name, simplifying with (7), (9), (11), % 259.99/35.89 | (12), (17), (18), (19), (20), (21), (22), (23), (29), (30), (31), % 259.99/35.89 | (32), (33) gives: % 259.99/35.89 | (34) icext(all_77_0, uri_ex_name) % 259.99/35.89 | % 259.99/35.89 | GROUND_INST: instantiating (1) with uri_ex_PersonAttribute, all_77_3, % 259.99/35.89 | uri_owl_DatatypeProperty, all_77_2, uri_owl_FunctionalProperty, % 259.99/35.89 | all_77_1, all_77_0, uri_ex_name, simplifying with (7), (9), (11), % 259.99/35.89 | (12), (17), (18), (19), (20), (21), (22), (23), (29), (30), (31), % 259.99/35.89 | (32), (33) gives: % 259.99/35.89 | (35) icext(uri_owl_FunctionalProperty, uri_ex_name) % 259.99/35.89 | % 259.99/35.89 | GROUND_INST: instantiating (5) with uri_ex_name, uri_owl_FunctionalProperty, % 259.99/35.89 | simplifying with (11), (12), (35) gives: % 259.99/35.89 | (36) iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 259.99/35.89 | % 259.99/35.89 | GROUND_INST: instantiating (3) with all_77_0, uri_rdfs_domain, % 259.99/35.89 | uri_foaf_Person, uri_ex_name, simplifying with (8), (11), (14), % 259.99/35.89 | (25), (26), (32), (34) gives: % 259.99/35.89 | (37) iext(uri_rdfs_domain, uri_ex_name, uri_foaf_Person) % 259.99/35.89 | % 259.99/35.89 | BETA: splitting (15) gives: % 259.99/35.89 | % 259.99/35.89 | Case 1: % 259.99/35.89 | | % 259.99/35.89 | | (38) ~ iext(uri_rdf_type, uri_ex_alice, uri_foaf_Person) % 259.99/35.89 | | % 259.99/35.89 | | GROUND_INST: instantiating (6) with uri_ex_name, uri_foaf_Person, % 259.99/35.89 | | uri_ex_alice, all_77_4, simplifying with (11), (13), (14), % 259.99/35.89 | | (27), (28), (37) gives: % 259.99/35.89 | | (39) icext(uri_foaf_Person, uri_ex_alice) % 259.99/35.89 | | % 259.99/35.89 | | GROUND_INST: instantiating (5) with uri_ex_alice, uri_foaf_Person, % 259.99/35.89 | | simplifying with (13), (14), (38), (39) gives: % 259.99/35.89 | | (40) $false % 259.99/35.89 | | % 259.99/35.90 | | CLOSE: (40) is inconsistent. % 259.99/35.90 | | % 259.99/35.90 | Case 2: % 259.99/35.90 | | % 259.99/35.90 | | (41) ~ iext(uri_rdf_type, uri_ex_name, uri_owl_FunctionalProperty) % 259.99/35.90 | | % 259.99/35.90 | | PRED_UNIFY: (36), (41) imply: % 259.99/35.90 | | (42) $false % 259.99/35.90 | | % 259.99/35.90 | | CLOSE: (42) is inconsistent. % 259.99/35.90 | | % 259.99/35.90 | End of split % 259.99/35.90 | % 259.99/35.90 End of proof % 259.99/35.90 % SZS output end Proof for theBenchmark % 259.99/35.90 % 259.99/35.90 35275ms %------------------------------------------------------------------------------