%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB097+1 : TPTP v8.1.2. Released v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n023.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 20:12:05 EDT 2023 % Result : Theorem 74.09s 10.28s % Output : Proof 90.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWB097+1 : TPTP v8.1.2. Released v5.2.0. % 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n023.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 07:58:26 EDT 2023 % 0.13/0.34 % CPUTime : % 0.52/0.60 ________ _____ % 0.52/0.60 ___ __ \_________(_)________________________________ % 0.52/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.52/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.52/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.52/0.60 % 0.52/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.52/0.60 (2023-06-19) % 0.52/0.60 % 0.52/0.60 (c) Philipp Rümmer, 2009-2023 % 0.52/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.52/0.60 Amanda Stjerna. % 0.52/0.60 Free software under BSD-3-Clause. % 0.52/0.60 % 0.52/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.52/0.60 % 0.52/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.52/0.61 Running up to 7 provers in parallel. % 0.52/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.52/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.52/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.52/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.52/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.52/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.52/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 9.36/1.95 Prover 1: Preprocessing ... % 9.36/1.96 Prover 0: Preprocessing ... % 9.36/1.96 Prover 3: Preprocessing ... % 9.36/1.96 Prover 6: Preprocessing ... % 9.73/1.99 Prover 4: Preprocessing ... % 9.73/2.00 Prover 5: Preprocessing ... % 10.39/2.11 Prover 2: Preprocessing ... % 24.51/3.95 Prover 2: Proving ... % 24.51/3.95 Prover 5: Proving ... % 29.31/4.58 Prover 3: Constructing countermodel ... % 30.14/4.67 Prover 6: Proving ... % 31.10/4.79 Prover 1: Constructing countermodel ... % 74.09/10.27 Prover 3: proved (9648ms) % 74.09/10.27 % 74.09/10.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 74.09/10.28 % 74.09/10.28 Prover 0: stopped % 74.09/10.28 Prover 6: stopped % 74.09/10.29 Prover 2: stopped % 74.09/10.29 Prover 5: stopped % 74.09/10.31 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.09/10.31 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 74.09/10.31 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 74.09/10.31 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 74.09/10.31 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 78.70/10.93 Prover 10: Preprocessing ... % 79.41/11.00 Prover 11: Preprocessing ... % 79.41/11.02 Prover 8: Preprocessing ... % 79.41/11.03 Prover 7: Preprocessing ... % 80.23/11.10 Prover 13: Preprocessing ... % 82.23/11.35 Prover 10: Warning: ignoring some quantifiers % 83.00/11.44 Prover 10: Constructing countermodel ... % 83.19/11.51 Prover 7: Warning: ignoring some quantifiers % 84.03/11.60 Prover 7: Constructing countermodel ... % 85.28/11.74 Prover 13: Warning: ignoring some quantifiers % 86.19/11.87 Prover 13: Constructing countermodel ... % 86.19/11.88 Prover 8: Warning: ignoring some quantifiers % 86.56/11.92 Prover 8: Constructing countermodel ... % 90.03/12.36 Prover 1: Found proof (size 81) % 90.03/12.38 Prover 1: proved (11757ms) % 90.03/12.38 Prover 7: stopped % 90.03/12.38 Prover 10: stopped % 90.03/12.38 Prover 8: stopped % 90.03/12.38 Prover 13: stopped % 90.03/12.38 Prover 11: stopped % 90.03/12.38 Prover 4: stopped % 90.03/12.38 % 90.03/12.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 90.03/12.38 % 90.03/12.39 % SZS output start Proof for theBenchmark % 90.38/12.41 Assumptions after simplification: % 90.38/12.41 --------------------------------- % 90.38/12.41 % 90.38/12.41 (conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) % 90.38/12.43 $i(uri_ex_z) & $i(uri_ex_w) & $i(uri_rdf_type) & ? [v0: int] : ( ~ (v0 = 0) & % 90.38/12.43 iext(uri_rdf_type, uri_ex_w, uri_ex_z) = v0) % 90.38/12.43 % 90.38/12.43 (owl_restrict_exactcard_001) % 90.38/12.44 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & $i(uri_owl_onProperty) & % 90.38/12.44 $i(uri_owl_cardinality) & ? [v0: $i] : (literal_typed(dat_str_1, % 90.38/12.44 uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( % 90.38/12.44 ~ (iext(uri_owl_onProperty, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v3: % 90.38/12.44 int] : ( ~ (v3 = 0) & iext(uri_owl_cardinality, v1, v0) = v3) | ( ! [v3: % 90.38/12.44 $i] : ! [v4: int] : (v4 = 0 | ~ (icext(v1, v3) = v4) | ~ $i(v3) | % 90.38/12.44 ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & iext(v2, v3, v6) = 0 & % 90.38/12.44 iext(v2, v3, v5) = 0 & $i(v6) & $i(v5)) | ! [v5: $i] : ( ~ % 90.38/12.44 (iext(v2, v3, v5) = 0) | ~ $i(v5))) & ! [v3: $i] : ( ~ (icext(v1, % 90.38/12.44 v3) = 0) | ~ $i(v3) | ( ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ % 90.38/12.44 (iext(v2, v3, v5) = 0) | ~ (iext(v2, v3, v4) = 0) | ~ $i(v5) | % 90.38/12.44 ~ $i(v4)) & ? [v4: $i] : (iext(v2, v3, v4) = 0 & $i(v4))))))) % 90.38/12.44 % 90.38/12.44 (owl_restrict_exactqcr_data_001) % 90.38/12.45 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & % 90.38/12.45 $i(uri_owl_qualifiedCardinality) & $i(uri_owl_onProperty) & % 90.38/12.45 $i(uri_owl_onDataRange) & ? [v0: $i] : (literal_typed(dat_str_1, % 90.38/12.45 uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! % 90.38/12.45 [v3: $i] : ( ~ (iext(uri_owl_onProperty, v1, v2) = 0) | ~ % 90.38/12.45 (iext(uri_owl_onDataRange, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ % 90.38/12.45 $i(v1) | ? [v4: any] : ? [v5: any] : (iodp(v2) = v5 & % 90.38/12.45 iext(uri_owl_qualifiedCardinality, v1, v0) = v4 & ( ~ (v4 = 0) | (v5 = 0 % 90.38/12.45 & ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ (icext(v1, v6) = v7) | % 90.38/12.45 ~ $i(v6) | ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) & icext(v3, % 90.38/12.45 v9) = 0 & icext(v3, v8) = 0 & lv(v9) = 0 & lv(v8) = 0 & % 90.38/12.45 iext(v2, v6, v9) = 0 & iext(v2, v6, v8) = 0 & $i(v9) & $i(v8)) | % 90.38/12.45 ! [v8: $i] : ( ~ (lv(v8) = 0) | ~ $i(v8) | ? [v9: any] : ? % 90.38/12.45 [v10: any] : (icext(v3, v8) = v10 & iext(v2, v6, v8) = v9 & ( ~ % 90.38/12.45 (v10 = 0) | ~ (v9 = 0))))) & ! [v6: $i] : ( ~ (icext(v1, % 90.38/12.45 v6) = 0) | ~ $i(v6) | ( ! [v7: $i] : ! [v8: $i] : (v8 = v7 | % 90.38/12.45 ~ (lv(v8) = 0) | ~ (lv(v7) = 0) | ~ $i(v8) | ~ $i(v7) | ? % 90.38/12.45 [v9: any] : ? [v10: any] : ? [v11: any] : ? [v12: any] : % 90.38/12.45 (icext(v3, v8) = v12 & icext(v3, v7) = v10 & iext(v2, v6, v8) % 90.38/12.45 = v11 & iext(v2, v6, v7) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) % 90.38/12.45 | ~ (v10 = 0) | ~ (v9 = 0)))) & ? [v7: $i] : (icext(v3, % 90.38/12.45 v7) = 0 & lv(v7) = 0 & iext(v2, v6, v7) = 0 & $i(v7))))))))) % 90.38/12.45 % 90.38/12.45 (owl_restrict_exactqcr_object_001) % 90.63/12.45 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & % 90.63/12.45 $i(uri_owl_qualifiedCardinality) & $i(uri_owl_onProperty) & % 90.63/12.45 $i(uri_owl_onClass) & ? [v0: $i] : (literal_typed(dat_str_1, % 90.63/12.45 uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! % 90.63/12.45 [v3: $i] : ( ~ (iext(uri_owl_onProperty, v1, v2) = 0) | ~ % 90.63/12.45 (iext(uri_owl_onClass, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | % 90.63/12.45 ? [v4: int] : ( ~ (v4 = 0) & iext(uri_owl_qualifiedCardinality, v1, v0) = % 90.63/12.45 v4) | ( ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (icext(v1, v4) = v5) | % 90.63/12.45 ~ $i(v4) | ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & icext(v3, v7) = % 90.63/12.45 0 & icext(v3, v6) = 0 & iext(v2, v4, v7) = 0 & iext(v2, v4, v6) = 0 % 90.63/12.45 & $i(v7) & $i(v6)) | ! [v6: $i] : ( ~ (icext(v3, v6) = 0) | ~ % 90.63/12.45 $i(v6) | ? [v7: int] : ( ~ (v7 = 0) & iext(v2, v4, v6) = v7))) & ! % 90.63/12.45 [v4: $i] : ( ~ (icext(v1, v4) = 0) | ~ $i(v4) | ( ! [v5: $i] : ! [v6: % 90.63/12.45 $i] : (v6 = v5 | ~ (icext(v3, v6) = 0) | ~ (icext(v3, v5) = 0) | % 90.63/12.45 ~ $i(v6) | ~ $i(v5) | ? [v7: any] : ? [v8: any] : (iext(v2, % 90.63/12.45 v4, v6) = v8 & iext(v2, v4, v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = % 90.63/12.45 0)))) & ? [v5: $i] : (icext(v3, v5) = 0 & iext(v2, v4, v5) % 90.63/12.45 = 0 & $i(v5))))))) % 90.63/12.45 % 90.63/12.45 (owl_restrict_maxcard_001) % 90.63/12.45 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & $i(uri_owl_onProperty) & % 90.63/12.45 $i(uri_owl_maxCardinality) & ? [v0: $i] : (literal_typed(dat_str_1, % 90.63/12.45 uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( % 90.63/12.45 ~ (iext(uri_owl_onProperty, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v3: % 90.63/12.45 int] : ( ~ (v3 = 0) & iext(uri_owl_maxCardinality, v1, v0) = v3) | ( ! % 90.63/12.45 [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (icext(v1, v3) = v4) | ~ $i(v3) % 90.63/12.45 | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & iext(v2, v3, v6) = 0 & % 90.63/12.45 iext(v2, v3, v5) = 0 & $i(v6) & $i(v5))) & ! [v3: $i] : ( ~ % 90.63/12.45 (icext(v1, v3) = 0) | ~ $i(v3) | ! [v4: $i] : ! [v5: $i] : (v5 = v4 % 90.63/12.45 | ~ (iext(v2, v3, v5) = 0) | ~ (iext(v2, v3, v4) = 0) | ~ $i(v5) % 90.63/12.45 | ~ $i(v4)))))) % 90.63/12.45 % 90.63/12.45 (owl_restrict_maxqcr_data_001) % 90.63/12.46 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & $i(uri_owl_onProperty) & % 90.63/12.46 $i(uri_owl_onDataRange) & $i(uri_owl_maxQualifiedCardinality) & ? [v0: $i] : % 90.63/12.46 (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: % 90.63/12.46 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (iext(uri_owl_onProperty, v1, v2) = % 90.63/12.46 0) | ~ (iext(uri_owl_onDataRange, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) % 90.63/12.46 | ~ $i(v1) | ? [v4: any] : ? [v5: any] : (iodp(v2) = v5 & % 90.63/12.46 iext(uri_owl_maxQualifiedCardinality, v1, v0) = v4 & ( ~ (v4 = 0) | (v5 % 90.63/12.46 = 0 & ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ (icext(v1, v6) = v7) % 90.63/12.46 | ~ $i(v6) | ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) & % 90.63/12.46 icext(v3, v9) = 0 & icext(v3, v8) = 0 & lv(v9) = 0 & lv(v8) = 0 % 90.63/12.46 & iext(v2, v6, v9) = 0 & iext(v2, v6, v8) = 0 & $i(v9) & % 90.63/12.46 $i(v8))) & ! [v6: $i] : ( ~ (icext(v1, v6) = 0) | ~ $i(v6) | % 90.63/12.46 ! [v7: $i] : ! [v8: $i] : (v8 = v7 | ~ (lv(v8) = 0) | ~ (lv(v7) % 90.63/12.46 = 0) | ~ $i(v8) | ~ $i(v7) | ? [v9: any] : ? [v10: any] : % 90.63/12.46 ? [v11: any] : ? [v12: any] : (icext(v3, v8) = v12 & icext(v3, % 90.63/12.46 v7) = v10 & iext(v2, v6, v8) = v11 & iext(v2, v6, v7) = v9 & % 90.63/12.46 ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ (v9 = % 90.63/12.46 0)))))))))) % 90.63/12.46 % 90.63/12.46 (owl_restrict_maxqcr_object_001) % 90.63/12.46 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & $i(uri_owl_onProperty) & % 90.63/12.46 $i(uri_owl_onClass) & $i(uri_owl_maxQualifiedCardinality) & ? [v0: $i] : % 90.63/12.46 (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: % 90.63/12.46 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (iext(uri_owl_onProperty, v1, v2) = % 90.63/12.46 0) | ~ (iext(uri_owl_onClass, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ % 90.63/12.46 $i(v1) | ? [v4: int] : ( ~ (v4 = 0) & % 90.63/12.46 iext(uri_owl_maxQualifiedCardinality, v1, v0) = v4) | ( ! [v4: $i] : ! % 90.63/12.46 [v5: int] : (v5 = 0 | ~ (icext(v1, v4) = v5) | ~ $i(v4) | ? [v6: $i] % 90.63/12.46 : ? [v7: $i] : ( ~ (v7 = v6) & icext(v3, v7) = 0 & icext(v3, v6) = 0 % 90.63/12.46 & iext(v2, v4, v7) = 0 & iext(v2, v4, v6) = 0 & $i(v7) & $i(v6))) & % 90.63/12.46 ! [v4: $i] : ( ~ (icext(v1, v4) = 0) | ~ $i(v4) | ! [v5: $i] : ! [v6: % 90.63/12.46 $i] : (v6 = v5 | ~ (icext(v3, v6) = 0) | ~ (icext(v3, v5) = 0) | % 90.63/12.46 ~ $i(v6) | ~ $i(v5) | ? [v7: any] : ? [v8: any] : (iext(v2, v4, % 90.63/12.46 v6) = v8 & iext(v2, v4, v5) = v7 & ( ~ (v8 = 0) | ~ (v7 = % 90.63/12.46 0)))))))) % 90.63/12.46 % 90.63/12.46 (owl_restrict_minqcr_data_001) % 90.63/12.46 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & $i(uri_owl_onProperty) & % 90.63/12.46 $i(uri_owl_onDataRange) & $i(uri_owl_minQualifiedCardinality) & ? [v0: $i] : % 90.63/12.46 (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: % 90.63/12.46 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (iext(uri_owl_onProperty, v1, v2) = % 90.63/12.46 0) | ~ (iext(uri_owl_onDataRange, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) % 90.63/12.46 | ~ $i(v1) | ? [v4: any] : ? [v5: any] : (iodp(v2) = v5 & % 90.63/12.46 iext(uri_owl_minQualifiedCardinality, v1, v0) = v4 & ( ~ (v4 = 0) | (v5 % 90.63/12.46 = 0 & ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ (icext(v1, v6) = v7) % 90.63/12.46 | ~ $i(v6) | ! [v8: $i] : ( ~ (lv(v8) = 0) | ~ $i(v8) | ? [v9: % 90.63/12.46 any] : ? [v10: any] : (icext(v3, v8) = v10 & iext(v2, v6, v8) % 90.63/12.46 = v9 & ( ~ (v10 = 0) | ~ (v9 = 0))))) & ! [v6: $i] : ( ~ % 90.63/12.46 (icext(v1, v6) = 0) | ~ $i(v6) | ? [v7: $i] : (icext(v3, v7) = 0 % 90.63/12.46 & lv(v7) = 0 & iext(v2, v6, v7) = 0 & $i(v7)))))))) % 90.63/12.46 % 90.63/12.46 (owl_restrict_minqcr_object_001) % 90.63/12.47 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & $i(uri_owl_onProperty) & % 90.63/12.47 $i(uri_owl_onClass) & $i(uri_owl_minQualifiedCardinality) & ? [v0: $i] : % 90.63/12.47 (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = v0 & $i(v0) & ! [v1: % 90.63/12.47 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (iext(uri_owl_onProperty, v1, v2) = % 90.63/12.47 0) | ~ (iext(uri_owl_onClass, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ % 90.63/12.47 $i(v1) | ? [v4: int] : ( ~ (v4 = 0) & % 90.63/12.47 iext(uri_owl_minQualifiedCardinality, v1, v0) = v4) | ( ! [v4: $i] : ! % 90.63/12.47 [v5: int] : (v5 = 0 | ~ (icext(v1, v4) = v5) | ~ $i(v4) | ! [v6: $i] % 90.63/12.47 : ( ~ (icext(v3, v6) = 0) | ~ $i(v6) | ? [v7: int] : ( ~ (v7 = 0) & % 90.63/12.47 iext(v2, v4, v6) = v7))) & ! [v4: $i] : ( ~ (icext(v1, v4) = 0) | % 90.63/12.47 ~ $i(v4) | ? [v5: $i] : (icext(v3, v5) = 0 & iext(v2, v4, v5) = 0 & % 90.63/12.47 $i(v5)))))) % 90.63/12.47 % 90.63/12.47 (premise_rdfbased_sem_restrict_minqcr_inst_subj_one) % 90.63/12.47 $i(uri_ex_x) & $i(uri_ex_c) & $i(uri_ex_p) & $i(uri_ex_z) & $i(uri_ex_w) & % 90.63/12.47 $i(dat_str_1) & $i(uri_xsd_nonNegativeInteger) & $i(uri_owl_onProperty) & % 90.63/12.47 $i(uri_owl_onClass) & $i(uri_owl_minQualifiedCardinality) & $i(uri_rdf_type) & % 90.63/12.47 ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = v0 & % 90.63/12.47 iext(uri_ex_p, uri_ex_w, uri_ex_x) = 0 & iext(uri_owl_onProperty, uri_ex_z, % 90.63/12.47 uri_ex_p) = 0 & iext(uri_owl_onClass, uri_ex_z, uri_ex_c) = 0 & % 90.63/12.47 iext(uri_owl_minQualifiedCardinality, uri_ex_z, v0) = 0 & iext(uri_rdf_type, % 90.63/12.47 uri_ex_x, uri_ex_c) = 0 & $i(v0)) % 90.63/12.47 % 90.63/12.47 (rdfs_cext_def) % 90.63/12.47 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 90.63/12.47 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( % 90.63/12.47 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 90.63/12.47 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) = % 90.63/12.47 0) % 90.63/12.47 % 90.63/12.47 (function-axioms) % 90.63/12.47 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 90.63/12.47 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, % 90.63/12.47 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 90.63/12.47 (v1 = v0 | ~ (literal_typed(v3, v2) = v1) | ~ (literal_typed(v3, v2) = v0)) % 90.63/12.47 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 90.63/12.47 [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = v0)) & ! % 90.63/12.47 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 % 90.63/12.47 | ~ (ioxp(v2) = v1) | ~ (ioxp(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 90.63/12.47 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ix(v2) = v1) | ~ % 90.63/12.47 (ix(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 90.63/12.47 ! [v2: $i] : (v1 = v0 | ~ (iodp(v2) = v1) | ~ (iodp(v2) = v0)) & ! [v0: % 90.63/12.47 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 90.63/12.47 ~ (ioap(v2) = v1) | ~ (ioap(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 90.63/12.47 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (idc(v2) = v1) | ~ % 90.63/12.47 (idc(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 90.63/12.47 ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) & ! [v0: % 90.63/12.47 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 90.63/12.47 ~ (lv(v2) = v1) | ~ (lv(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 90.63/12.47 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ir(v2) = v1) | ~ (ir(v2) % 90.63/12.47 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 90.63/12.47 $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ (ip(v2) = v0)) % 90.63/12.47 % 90.63/12.47 Further assumptions not needed in the proof: % 90.63/12.47 -------------------------------------------- % 90.63/12.48 owl_bool_complementof_class, owl_bool_datatypecomplementof, % 90.63/12.48 owl_bool_intersectionof_class_000, owl_bool_intersectionof_class_001, % 90.63/12.48 owl_bool_intersectionof_class_002, owl_bool_intersectionof_class_003, % 90.63/12.48 owl_bool_intersectionof_dtype_001, owl_bool_intersectionof_dtype_002, % 90.63/12.48 owl_bool_intersectionof_dtype_003, owl_bool_unionof_class_000, % 90.63/12.48 owl_bool_unionof_class_001, owl_bool_unionof_class_002, % 90.63/12.48 owl_bool_unionof_class_003, owl_bool_unionof_dtype_001, % 90.63/12.48 owl_bool_unionof_dtype_002, owl_bool_unionof_dtype_003, owl_chain_000, % 90.63/12.48 owl_chain_001, owl_chain_002, owl_chain_003, owl_char_asymmetric, % 90.63/12.48 owl_char_functional, owl_char_inversefunctional, owl_char_irreflexive, % 90.63/12.48 owl_char_reflexive, owl_char_symmetric, owl_char_transitive, % 90.63/12.48 owl_class_alldifferent_ext, owl_class_alldifferent_type, % 90.63/12.48 owl_class_alldisjointclasses_ext, owl_class_alldisjointclasses_type, % 90.63/12.48 owl_class_alldisjointproperties_ext, owl_class_alldisjointproperties_type, % 90.63/12.48 owl_class_annotation_ext, owl_class_annotation_type, % 90.63/12.48 owl_class_annotationproperty_ext, owl_class_annotationproperty_type, % 90.63/12.48 owl_class_asymmetricproperty_ext, owl_class_asymmetricproperty_type, % 90.63/12.48 owl_class_axiom_ext, owl_class_axiom_type, owl_class_classowl_ext, % 90.63/12.48 owl_class_classowl_type, owl_class_classrdfs_ext, owl_class_classrdfs_type, % 90.63/12.48 owl_class_datarange_ext, owl_class_datarange_type, owl_class_datatype_ext, % 90.63/12.48 owl_class_datatype_type, owl_class_datatypeproperty_ext, % 90.63/12.48 owl_class_datatypeproperty_type, owl_class_deprecatedclass_ext, % 90.63/12.48 owl_class_deprecatedclass_type, owl_class_deprecatedproperty_ext, % 90.63/12.48 owl_class_deprecatedproperty_type, owl_class_functionalproperty_ext, % 90.63/12.48 owl_class_functionalproperty_type, owl_class_inversefunctionalproperty_ext, % 90.63/12.48 owl_class_inversefunctionalproperty_type, owl_class_irreflexiveproperty_ext, % 90.63/12.48 owl_class_irreflexiveproperty_type, owl_class_literal_ext, % 90.63/12.48 owl_class_literal_type, owl_class_namedindividual_ext, % 90.63/12.48 owl_class_namedindividual_type, owl_class_negativepropertyassertion_ext, % 90.63/12.48 owl_class_negativepropertyassertion_type, owl_class_nothing_ext, % 90.63/12.48 owl_class_nothing_type, owl_class_objectproperty_ext, % 90.63/12.48 owl_class_objectproperty_type, owl_class_ontology_ext, owl_class_ontology_type, % 90.63/12.48 owl_class_ontologyproperty_ext, owl_class_ontologyproperty_type, % 90.63/12.48 owl_class_property_ext, owl_class_property_type, % 90.63/12.48 owl_class_reflexiveproperty_ext, owl_class_reflexiveproperty_type, % 90.63/12.48 owl_class_resource_ext, owl_class_resource_type, owl_class_restriction_ext, % 90.63/12.48 owl_class_restriction_type, owl_class_symmetricproperty_ext, % 90.63/12.48 owl_class_symmetricproperty_type, owl_class_thing_ext, owl_class_thing_type, % 90.63/12.48 owl_class_transitiveproperty_ext, owl_class_transitiveproperty_type, % 90.63/12.48 owl_dat_dtype_anyuri_ext, owl_dat_dtype_anyuri_type, % 90.63/12.48 owl_dat_dtype_base64binary_ext, owl_dat_dtype_base64binary_type, % 90.63/12.48 owl_dat_dtype_boolean_ext, owl_dat_dtype_boolean_type, owl_dat_dtype_byte_ext, % 90.63/12.48 owl_dat_dtype_byte_type, owl_dat_dtype_datetime_ext, % 90.63/12.48 owl_dat_dtype_datetime_type, owl_dat_dtype_datetimestamp_ext, % 90.63/12.48 owl_dat_dtype_datetimestamp_type, owl_dat_dtype_decimal_ext, % 90.63/12.48 owl_dat_dtype_decimal_type, owl_dat_dtype_double_ext, owl_dat_dtype_double_type, % 90.63/12.48 owl_dat_dtype_float_ext, owl_dat_dtype_float_type, owl_dat_dtype_hexbinary_ext, % 90.63/12.48 owl_dat_dtype_hexbinary_type, owl_dat_dtype_int_ext, owl_dat_dtype_int_type, % 90.63/12.48 owl_dat_dtype_integer_ext, owl_dat_dtype_integer_type, % 90.63/12.48 owl_dat_dtype_language_ext, owl_dat_dtype_language_type, owl_dat_dtype_long_ext, % 90.63/12.48 owl_dat_dtype_long_type, owl_dat_dtype_name_ext, owl_dat_dtype_name_type, % 90.63/12.48 owl_dat_dtype_ncname_ext, owl_dat_dtype_ncname_type, % 90.63/12.48 owl_dat_dtype_negativeinteger_ext, owl_dat_dtype_negativeinteger_type, % 90.63/12.48 owl_dat_dtype_nmtoken_ext, owl_dat_dtype_nmtoken_type, % 90.63/12.48 owl_dat_dtype_nonnegativeinteger_ext, owl_dat_dtype_nonnegativeinteger_type, % 90.63/12.48 owl_dat_dtype_nonpositiveinteger_ext, owl_dat_dtype_nonpositiveinteger_type, % 90.63/12.48 owl_dat_dtype_normalizedstring_ext, owl_dat_dtype_normalizedstring_type, % 90.63/12.48 owl_dat_dtype_plainliteral_ext, owl_dat_dtype_plainliteral_type, % 90.63/12.48 owl_dat_dtype_positiveinteger_ext, owl_dat_dtype_positiveinteger_type, % 90.63/12.48 owl_dat_dtype_rational_ext, owl_dat_dtype_rational_type, owl_dat_dtype_real_ext, % 90.63/12.48 owl_dat_dtype_real_type, owl_dat_dtype_relation_disjoint_anyuri_base64binary, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_boolean, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_datetime, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_double, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_float, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_hexbinary, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_anyuri_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_boolean, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_datetime, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_double, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_float, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_hexbinary, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_base64binary_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_boolean_datetime, % 90.63/12.48 owl_dat_dtype_relation_disjoint_boolean_double, % 90.63/12.48 owl_dat_dtype_relation_disjoint_boolean_float, % 90.63/12.48 owl_dat_dtype_relation_disjoint_boolean_hexbinary, % 90.63/12.48 owl_dat_dtype_relation_disjoint_boolean_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_boolean_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_boolean_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_datetime_double, % 90.63/12.48 owl_dat_dtype_relation_disjoint_datetime_float, % 90.63/12.48 owl_dat_dtype_relation_disjoint_datetime_hexbinary, % 90.63/12.48 owl_dat_dtype_relation_disjoint_datetime_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_datetime_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_datetime_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_double_float, % 90.63/12.48 owl_dat_dtype_relation_disjoint_double_hexbinary, % 90.63/12.48 owl_dat_dtype_relation_disjoint_double_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_double_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_double_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_float_hexbinary, % 90.63/12.48 owl_dat_dtype_relation_disjoint_float_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_float_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_float_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_hexbinary_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_hexbinary_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_plainliteral_real, % 90.63/12.48 owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_disjoint_real_xmlliteral, % 90.63/12.48 owl_dat_dtype_relation_subtype_byte_short, % 90.63/12.48 owl_dat_dtype_relation_subtype_datetimestamp_datetime, % 90.63/12.48 owl_dat_dtype_relation_subtype_decimal_rational, % 90.63/12.48 owl_dat_dtype_relation_subtype_int_long, % 90.63/12.48 owl_dat_dtype_relation_subtype_integer_decimal, % 90.63/12.48 owl_dat_dtype_relation_subtype_language_token, % 90.63/12.48 owl_dat_dtype_relation_subtype_long_integer, % 90.63/12.48 owl_dat_dtype_relation_subtype_name_token, % 90.63/12.48 owl_dat_dtype_relation_subtype_ncname_name, % 90.63/12.48 owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger, % 90.63/12.48 owl_dat_dtype_relation_subtype_nmtoken_token, % 90.63/12.48 owl_dat_dtype_relation_subtype_nonnegativeinteger_integer, % 90.63/12.48 owl_dat_dtype_relation_subtype_nonpositiveinteger_integer, % 90.63/12.48 owl_dat_dtype_relation_subtype_normalizedstring_string, % 90.63/12.48 owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger, % 90.63/12.48 owl_dat_dtype_relation_subtype_rational_real, % 90.63/12.48 owl_dat_dtype_relation_subtype_short_int, % 90.63/12.48 owl_dat_dtype_relation_subtype_string_plainliteral, % 90.63/12.48 owl_dat_dtype_relation_subtype_token_normalizedstring, % 90.63/12.48 owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort, % 90.63/12.48 owl_dat_dtype_relation_subtype_unsignedint_unsignedlong, % 90.63/12.48 owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger, % 90.63/12.48 owl_dat_dtype_relation_subtype_unsignedshort_unsignedint, % 90.63/12.48 owl_dat_dtype_short_ext, owl_dat_dtype_short_type, owl_dat_dtype_string_ext, % 90.63/12.48 owl_dat_dtype_string_type, owl_dat_dtype_token_ext, owl_dat_dtype_token_type, % 90.63/12.48 owl_dat_dtype_unsignedbyte_ext, owl_dat_dtype_unsignedbyte_type, % 90.63/12.48 owl_dat_dtype_unsignedint_ext, owl_dat_dtype_unsignedint_type, % 90.63/12.48 owl_dat_dtype_unsignedlong_ext, owl_dat_dtype_unsignedlong_type, % 90.63/12.48 owl_dat_dtype_unsignedshort_ext, owl_dat_dtype_unsignedshort_type, % 90.63/12.48 owl_dat_dtype_xmlliteral_ext, owl_dat_dtype_xmlliteral_type, % 90.63/12.48 owl_dat_facet_langrange_ext, owl_dat_facet_langrange_type, % 90.63/12.48 owl_dat_facet_length_ext, owl_dat_facet_length_type, % 90.63/12.48 owl_dat_facet_maxexclusive_ext, owl_dat_facet_maxexclusive_type, % 90.63/12.48 owl_dat_facet_maxinclusive_ext, owl_dat_facet_maxinclusive_type, % 90.63/12.48 owl_dat_facet_maxlength_ext, owl_dat_facet_maxlength_type, % 90.63/12.48 owl_dat_facet_minexclusive_ext, owl_dat_facet_minexclusive_type, % 90.63/12.48 owl_dat_facet_mininclusive_ext, owl_dat_facet_mininclusive_type, % 90.63/12.48 owl_dat_facet_minlength_ext, owl_dat_facet_minlength_type, % 90.63/12.48 owl_dat_facet_pattern_ext, owl_dat_facet_pattern_type, owl_enum_class_000, % 90.63/12.48 owl_enum_class_001, owl_enum_class_002, owl_enum_class_003, owl_enum_dtype_001, % 90.63/12.48 owl_enum_dtype_002, owl_enum_dtype_003, owl_eqdis_differentfrom, % 90.63/12.48 owl_eqdis_disjointunionof_000, owl_eqdis_disjointunionof_001, % 90.63/12.48 owl_eqdis_disjointunionof_002, owl_eqdis_disjointunionof_003, % 90.63/12.48 owl_eqdis_disjointwith, owl_eqdis_equivalentclass, owl_eqdis_equivalentproperty, % 90.63/12.48 owl_eqdis_propertydisjointwith, owl_eqdis_sameas, owl_inv, owl_key_000, % 90.63/12.48 owl_key_001, owl_key_002, owl_key_003, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_fi_000, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_fi_001, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_fi_002, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_fi_003, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_if_000, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_if_001, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_if_002, % 90.63/12.48 owl_ndis_alldifferent_distinctmembers_if_003, % 90.63/12.48 owl_ndis_alldifferent_members_fi_000, owl_ndis_alldifferent_members_fi_001, % 90.63/12.48 owl_ndis_alldifferent_members_fi_002, owl_ndis_alldifferent_members_fi_003, % 90.63/12.48 owl_ndis_alldifferent_members_if_000, owl_ndis_alldifferent_members_if_001, % 90.63/12.48 owl_ndis_alldifferent_members_if_002, owl_ndis_alldifferent_members_if_003, % 90.63/12.48 owl_ndis_alldisjointclasses_fi_000, owl_ndis_alldisjointclasses_fi_001, % 90.63/12.48 owl_ndis_alldisjointclasses_fi_002, owl_ndis_alldisjointclasses_fi_003, % 90.63/12.48 owl_ndis_alldisjointclasses_if_000, owl_ndis_alldisjointclasses_if_001, % 90.63/12.48 owl_ndis_alldisjointclasses_if_002, owl_ndis_alldisjointclasses_if_003, % 90.63/12.48 owl_ndis_alldisjointproperties_fi_000, owl_ndis_alldisjointproperties_fi_001, % 90.63/12.48 owl_ndis_alldisjointproperties_fi_002, owl_ndis_alldisjointproperties_fi_003, % 90.63/12.48 owl_ndis_alldisjointproperties_if_000, owl_ndis_alldisjointproperties_if_001, % 90.63/12.48 owl_ndis_alldisjointproperties_if_002, owl_ndis_alldisjointproperties_if_003, % 90.63/12.48 owl_npa_data_fi, owl_npa_data_if, owl_npa_object_fi, owl_npa_object_if, % 90.63/12.48 owl_parts_ic_cond_inst, owl_parts_ic_cond_set, owl_parts_ic_def, % 90.63/12.48 owl_parts_idc_cond_inst, owl_parts_idc_cond_set, owl_parts_idc_def, % 90.63/12.48 owl_parts_ioap_cond_inst, owl_parts_ioap_cond_set, owl_parts_ioap_def, % 90.63/12.48 owl_parts_iodp_cond_inst, owl_parts_iodp_cond_set, owl_parts_iodp_def, % 90.63/12.48 owl_parts_ioxp_cond_inst, owl_parts_ioxp_cond_set, owl_parts_ioxp_def, % 90.63/12.48 owl_parts_ip_cond_inst, owl_parts_ip_cond_set, owl_parts_ip_def, % 90.63/12.48 owl_parts_ir_cond_set, owl_parts_ir_def, owl_parts_ix_cond_set, % 90.63/12.48 owl_parts_ix_def, owl_parts_lv_cond_set, owl_parts_lv_def, % 90.63/12.48 owl_prop_allvaluesfrom_ext, owl_prop_allvaluesfrom_type, % 90.63/12.48 owl_prop_annotatedproperty_ext, owl_prop_annotatedproperty_type, % 90.63/12.48 owl_prop_annotatedsource_ext, owl_prop_annotatedsource_type, % 90.63/12.48 owl_prop_annotatedtarget_ext, owl_prop_annotatedtarget_type, % 90.63/12.48 owl_prop_assertionproperty_ext, owl_prop_assertionproperty_type, % 90.63/12.48 owl_prop_backwardcompatiblewith_ext, owl_prop_backwardcompatiblewith_type_annot, % 90.63/12.48 owl_prop_backwardcompatiblewith_type_onto, owl_prop_bottomdataproperty_ext, % 90.63/12.48 owl_prop_bottomdataproperty_type, owl_prop_bottomobjectproperty_ext, % 90.63/12.48 owl_prop_bottomobjectproperty_type, owl_prop_cardinality_ext, % 90.63/12.48 owl_prop_cardinality_type, owl_prop_comment_ext, owl_prop_comment_type, % 90.63/12.48 owl_prop_complementof_ext, owl_prop_complementof_type, % 90.63/12.48 owl_prop_datatypecomplementof_ext, owl_prop_datatypecomplementof_type, % 90.63/12.48 owl_prop_deprecated_ext, owl_prop_deprecated_type, owl_prop_differentfrom_ext, % 90.63/12.48 owl_prop_differentfrom_type, owl_prop_disjointunionof_ext, % 90.63/12.48 owl_prop_disjointunionof_type, owl_prop_disjointwith_ext, % 90.63/12.48 owl_prop_disjointwith_type, owl_prop_distinctmembers_ext, % 90.63/12.48 owl_prop_distinctmembers_type, owl_prop_equivalentclass_ext, % 90.63/12.48 owl_prop_equivalentclass_type, owl_prop_equivalentproperty_ext, % 90.63/12.48 owl_prop_equivalentproperty_type, owl_prop_haskey_ext, owl_prop_haskey_type, % 90.63/12.48 owl_prop_hasself_ext, owl_prop_hasself_type, owl_prop_hasvalue_ext, % 90.63/12.48 owl_prop_hasvalue_type, owl_prop_imports_ext, owl_prop_imports_type, % 90.63/12.48 owl_prop_incompatiblewith_ext, owl_prop_incompatiblewith_type_annot, % 90.63/12.48 owl_prop_incompatiblewith_type_onto, owl_prop_intersectionof_ext, % 90.63/12.48 owl_prop_intersectionof_type, owl_prop_inverseof_ext, owl_prop_inverseof_type, % 90.63/12.48 owl_prop_isdefinedby_ext, owl_prop_isdefinedby_type, owl_prop_label_ext, % 90.63/12.48 owl_prop_label_type, owl_prop_maxcardinality_ext, owl_prop_maxcardinality_type, % 90.63/12.48 owl_prop_maxqualifiedcardinality_ext, owl_prop_maxqualifiedcardinality_type, % 90.63/12.48 owl_prop_members_ext, owl_prop_members_type, owl_prop_mincardinality_ext, % 90.63/12.48 owl_prop_mincardinality_type, owl_prop_minqualifiedcardinality_ext, % 90.63/12.48 owl_prop_minqualifiedcardinality_type, owl_prop_onclass_ext, % 90.63/12.48 owl_prop_onclass_type, owl_prop_ondatarange_ext, owl_prop_ondatarange_type, % 90.63/12.48 owl_prop_ondatatype_ext, owl_prop_ondatatype_type, owl_prop_oneof_ext, % 90.63/12.48 owl_prop_oneof_type, owl_prop_onproperty_ext, owl_prop_onproperty_type, % 90.63/12.48 owl_prop_priorversion_ext, owl_prop_priorversion_type_annot, % 90.63/12.48 owl_prop_priorversion_type_onto, owl_prop_propertychainaxiom_ext, % 90.63/12.48 owl_prop_propertychainaxiom_type, owl_prop_propertydisjointwith_ext, % 90.63/12.48 owl_prop_propertydisjointwith_type, owl_prop_qualifiedcardinality_ext, % 90.63/12.48 owl_prop_qualifiedcardinality_type, owl_prop_sameas_ext, owl_prop_sameas_type, % 90.63/12.48 owl_prop_seealso_ext, owl_prop_seealso_type, owl_prop_somevaluesfrom_ext, % 90.63/12.48 owl_prop_somevaluesfrom_type, owl_prop_sourceindividual_ext, % 90.63/12.48 owl_prop_sourceindividual_type, owl_prop_targetindividual_ext, % 90.63/12.48 owl_prop_targetindividual_type, owl_prop_targetvalue_ext, % 90.63/12.48 owl_prop_targetvalue_type, owl_prop_topdataproperty_ext, % 90.63/12.48 owl_prop_topdataproperty_type, owl_prop_topobjectproperty_ext, % 90.63/12.48 owl_prop_topobjectproperty_type, owl_prop_unionof_ext, owl_prop_unionof_type, % 90.63/12.48 owl_prop_versioninfo_ext, owl_prop_versioninfo_type, owl_prop_versioniri_ext, % 90.63/12.48 owl_prop_versioniri_type, owl_prop_withrestrictions_ext, % 90.63/12.48 owl_prop_withrestrictions_type, owl_rdfsext_domain, owl_rdfsext_range, % 90.63/12.48 owl_rdfsext_subclassof, owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom, % 90.63/12.48 owl_restrict_exactcard_000, owl_restrict_exactcard_002, % 90.63/12.48 owl_restrict_exactcard_003, owl_restrict_exactqcr_data_000, % 90.63/12.48 owl_restrict_exactqcr_data_002, owl_restrict_exactqcr_data_003, % 90.63/12.48 owl_restrict_exactqcr_object_000, owl_restrict_exactqcr_object_002, % 90.63/12.48 owl_restrict_exactqcr_object_003, owl_restrict_hasself, owl_restrict_hasvalue, % 90.63/12.48 owl_restrict_maxcard_000, owl_restrict_maxcard_002, owl_restrict_maxcard_003, % 90.63/12.48 owl_restrict_maxqcr_data_000, owl_restrict_maxqcr_data_002, % 90.63/12.48 owl_restrict_maxqcr_data_003, owl_restrict_maxqcr_object_000, % 90.63/12.48 owl_restrict_maxqcr_object_002, owl_restrict_maxqcr_object_003, % 90.63/12.48 owl_restrict_mincard_000, owl_restrict_mincard_001, owl_restrict_mincard_002, % 90.63/12.48 owl_restrict_mincard_003, owl_restrict_minqcr_data_000, % 90.63/12.48 owl_restrict_minqcr_data_002, owl_restrict_minqcr_data_003, % 90.63/12.48 owl_restrict_minqcr_object_000, owl_restrict_minqcr_object_002, % 90.63/12.48 owl_restrict_minqcr_object_003, owl_restrict_somevaluesfrom, % 90.63/12.48 rdf_collection_first_type, rdf_collection_nil_type, rdf_collection_rest_type, % 90.63/12.48 rdf_container_n_type_001, rdf_container_n_type_002, rdf_container_n_type_003, % 90.63/12.48 rdf_reification_object_type, rdf_reification_predicate_type, % 90.63/12.48 rdf_reification_subject_type, rdf_type_ip, rdf_type_type, rdf_value_type, % 90.63/12.48 rdfs_annotation_comment_domain, rdfs_annotation_comment_range, % 90.63/12.48 rdfs_annotation_isdefinedby_domain, rdfs_annotation_isdefinedby_range, % 90.63/12.48 rdfs_annotation_isdefinedby_sub, rdfs_annotation_label_domain, % 90.63/12.48 rdfs_annotation_label_range, rdfs_annotation_seealso_domain, % 90.63/12.48 rdfs_annotation_seealso_range, rdfs_class_instsub_resource, % 90.63/12.48 rdfs_collection_first_domain, rdfs_collection_first_range, % 90.63/12.48 rdfs_collection_rest_domain, rdfs_collection_rest_range, rdfs_container_alt_sub, % 90.63/12.48 rdfs_container_bag_sub, % 90.63/12.48 rdfs_container_containermembershipproperty_instsub_member, % 90.63/12.48 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain, % 90.63/12.48 rdfs_container_member_range, rdfs_container_n_domain_001, % 90.63/12.48 rdfs_container_n_domain_002, rdfs_container_n_domain_003, % 90.63/12.48 rdfs_container_n_range_001, rdfs_container_n_range_002, % 90.63/12.48 rdfs_container_n_range_003, rdfs_container_n_type_001, % 90.63/12.48 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub, % 90.63/12.48 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type, % 90.63/12.48 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain, % 90.63/12.48 rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def, % 90.63/12.48 rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range, % 90.63/12.48 rdfs_reification_object_domain, rdfs_reification_object_range, % 90.63/12.48 rdfs_reification_predicate_domain, rdfs_reification_predicate_range, % 90.63/12.48 rdfs_reification_subject_domain, rdfs_reification_subject_range, % 90.63/12.48 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range, % 90.63/12.48 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain, % 90.63/12.48 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex, % 90.63/12.48 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain, % 90.63/12.48 rdfs_value_range, simple_iext_property, simple_ir, simple_lv % 90.63/12.48 % 90.63/12.48 Those formulas are unsatisfiable: % 90.63/12.48 --------------------------------- % 90.63/12.48 % 90.63/12.48 Begin of proof % 90.63/12.48 | % 90.63/12.48 | ALPHA: (rdfs_cext_def) implies: % 90.63/12.48 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~ % 90.63/12.48 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0) % 90.63/12.48 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 90.63/12.48 | (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 90.63/12.48 | int] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) % 90.63/12.48 | % 90.63/12.48 | ALPHA: (owl_restrict_exactcard_001) implies: % 90.63/12.49 | (3) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.49 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.49 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? % 90.63/12.49 | [v3: int] : ( ~ (v3 = 0) & iext(uri_owl_cardinality, v1, v0) = v3) % 90.63/12.49 | | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (icext(v1, v3) = v4) | % 90.63/12.49 | ~ $i(v3) | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & % 90.63/12.49 | iext(v2, v3, v6) = 0 & iext(v2, v3, v5) = 0 & $i(v6) & % 90.63/12.49 | $i(v5)) | ! [v5: $i] : ( ~ (iext(v2, v3, v5) = 0) | ~ % 90.63/12.49 | $i(v5))) & ! [v3: $i] : ( ~ (icext(v1, v3) = 0) | ~ $i(v3) % 90.63/12.49 | | ( ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (iext(v2, v3, v5) % 90.63/12.49 | = 0) | ~ (iext(v2, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4)) % 90.63/12.49 | & ? [v4: $i] : (iext(v2, v3, v4) = 0 & $i(v4))))))) % 90.63/12.49 | % 90.63/12.49 | ALPHA: (owl_restrict_exactqcr_data_001) implies: % 90.63/12.49 | (4) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.49 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 90.63/12.49 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ % 90.63/12.49 | (iext(uri_owl_onDataRange, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | % 90.63/12.49 | ~ $i(v1) | ? [v4: any] : ? [v5: any] : (iodp(v2) = v5 & % 90.63/12.49 | iext(uri_owl_qualifiedCardinality, v1, v0) = v4 & ( ~ (v4 = 0) | % 90.63/12.49 | (v5 = 0 & ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ (icext(v1, % 90.63/12.49 | v6) = v7) | ~ $i(v6) | ? [v8: $i] : ? [v9: $i] : ( ~ % 90.63/12.49 | (v9 = v8) & icext(v3, v9) = 0 & icext(v3, v8) = 0 & % 90.63/12.49 | lv(v9) = 0 & lv(v8) = 0 & iext(v2, v6, v9) = 0 & iext(v2, % 90.63/12.49 | v6, v8) = 0 & $i(v9) & $i(v8)) | ! [v8: $i] : ( ~ % 90.63/12.49 | (lv(v8) = 0) | ~ $i(v8) | ? [v9: any] : ? [v10: any] : % 90.63/12.49 | (icext(v3, v8) = v10 & iext(v2, v6, v8) = v9 & ( ~ (v10 = % 90.63/12.49 | 0) | ~ (v9 = 0))))) & ! [v6: $i] : ( ~ (icext(v1, % 90.63/12.49 | v6) = 0) | ~ $i(v6) | ( ! [v7: $i] : ! [v8: $i] : (v8 % 90.63/12.49 | = v7 | ~ (lv(v8) = 0) | ~ (lv(v7) = 0) | ~ $i(v8) | % 90.63/12.49 | ~ $i(v7) | ? [v9: any] : ? [v10: any] : ? [v11: any] % 90.63/12.49 | : ? [v12: any] : (icext(v3, v8) = v12 & icext(v3, v7) % 90.63/12.49 | = v10 & iext(v2, v6, v8) = v11 & iext(v2, v6, v7) = % 90.63/12.49 | v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 = 0) | ~ % 90.63/12.49 | (v9 = 0)))) & ? [v7: $i] : (icext(v3, v7) = 0 & % 90.63/12.49 | lv(v7) = 0 & iext(v2, v6, v7) = 0 & $i(v7))))))))) % 90.63/12.49 | % 90.63/12.49 | ALPHA: (owl_restrict_exactqcr_object_001) implies: % 90.63/12.49 | (5) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.49 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 90.63/12.49 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ (iext(uri_owl_onClass, % 90.63/12.49 | v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: int] % 90.63/12.49 | : ( ~ (v4 = 0) & iext(uri_owl_qualifiedCardinality, v1, v0) = v4) | % 90.63/12.49 | ( ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (icext(v1, v4) = v5) | % 90.63/12.49 | ~ $i(v4) | ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & % 90.63/12.49 | icext(v3, v7) = 0 & icext(v3, v6) = 0 & iext(v2, v4, v7) = 0 % 90.63/12.49 | & iext(v2, v4, v6) = 0 & $i(v7) & $i(v6)) | ! [v6: $i] : ( ~ % 90.63/12.49 | (icext(v3, v6) = 0) | ~ $i(v6) | ? [v7: int] : ( ~ (v7 = 0) % 90.63/12.49 | & iext(v2, v4, v6) = v7))) & ! [v4: $i] : ( ~ (icext(v1, % 90.63/12.49 | v4) = 0) | ~ $i(v4) | ( ! [v5: $i] : ! [v6: $i] : (v6 = % 90.63/12.49 | v5 | ~ (icext(v3, v6) = 0) | ~ (icext(v3, v5) = 0) | ~ % 90.63/12.49 | $i(v6) | ~ $i(v5) | ? [v7: any] : ? [v8: any] : % 90.63/12.49 | (iext(v2, v4, v6) = v8 & iext(v2, v4, v5) = v7 & ( ~ (v8 = % 90.63/12.49 | 0) | ~ (v7 = 0)))) & ? [v5: $i] : (icext(v3, v5) = % 90.63/12.49 | 0 & iext(v2, v4, v5) = 0 & $i(v5))))))) % 90.63/12.49 | % 90.63/12.49 | ALPHA: (owl_restrict_maxcard_001) implies: % 90.63/12.50 | (6) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.50 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.50 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ? % 90.63/12.50 | [v3: int] : ( ~ (v3 = 0) & iext(uri_owl_maxCardinality, v1, v0) = % 90.63/12.50 | v3) | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (icext(v1, v3) = % 90.63/12.50 | v4) | ~ $i(v3) | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & % 90.63/12.50 | iext(v2, v3, v6) = 0 & iext(v2, v3, v5) = 0 & $i(v6) & % 90.63/12.50 | $i(v5))) & ! [v3: $i] : ( ~ (icext(v1, v3) = 0) | ~ $i(v3) % 90.63/12.50 | | ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ (iext(v2, v3, v5) = % 90.63/12.50 | 0) | ~ (iext(v2, v3, v4) = 0) | ~ $i(v5) | ~ $i(v4)))))) % 90.63/12.50 | % 90.63/12.50 | ALPHA: (owl_restrict_maxqcr_data_001) implies: % 90.63/12.50 | (7) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.50 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 90.63/12.50 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ % 90.63/12.50 | (iext(uri_owl_onDataRange, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | % 90.63/12.50 | ~ $i(v1) | ? [v4: any] : ? [v5: any] : (iodp(v2) = v5 & % 90.63/12.50 | iext(uri_owl_maxQualifiedCardinality, v1, v0) = v4 & ( ~ (v4 = 0) % 90.63/12.50 | | (v5 = 0 & ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ % 90.63/12.50 | (icext(v1, v6) = v7) | ~ $i(v6) | ? [v8: $i] : ? [v9: % 90.63/12.50 | $i] : ( ~ (v9 = v8) & icext(v3, v9) = 0 & icext(v3, v8) = % 90.63/12.50 | 0 & lv(v9) = 0 & lv(v8) = 0 & iext(v2, v6, v9) = 0 & % 90.63/12.50 | iext(v2, v6, v8) = 0 & $i(v9) & $i(v8))) & ! [v6: $i] : % 90.63/12.50 | ( ~ (icext(v1, v6) = 0) | ~ $i(v6) | ! [v7: $i] : ! [v8: % 90.63/12.50 | $i] : (v8 = v7 | ~ (lv(v8) = 0) | ~ (lv(v7) = 0) | ~ % 90.63/12.50 | $i(v8) | ~ $i(v7) | ? [v9: any] : ? [v10: any] : ? % 90.63/12.50 | [v11: any] : ? [v12: any] : (icext(v3, v8) = v12 & % 90.63/12.50 | icext(v3, v7) = v10 & iext(v2, v6, v8) = v11 & iext(v2, % 90.63/12.50 | v6, v7) = v9 & ( ~ (v12 = 0) | ~ (v11 = 0) | ~ (v10 % 90.63/12.50 | = 0) | ~ (v9 = 0)))))))))) % 90.63/12.50 | % 90.63/12.50 | ALPHA: (owl_restrict_maxqcr_object_001) implies: % 90.63/12.50 | (8) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.50 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 90.63/12.50 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ (iext(uri_owl_onClass, % 90.63/12.50 | v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: int] % 90.63/12.50 | : ( ~ (v4 = 0) & iext(uri_owl_maxQualifiedCardinality, v1, v0) = % 90.63/12.50 | v4) | ( ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ (icext(v1, v4) = % 90.63/12.50 | v5) | ~ $i(v4) | ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v6) & % 90.63/12.50 | icext(v3, v7) = 0 & icext(v3, v6) = 0 & iext(v2, v4, v7) = 0 % 90.63/12.50 | & iext(v2, v4, v6) = 0 & $i(v7) & $i(v6))) & ! [v4: $i] : ( % 90.63/12.50 | ~ (icext(v1, v4) = 0) | ~ $i(v4) | ! [v5: $i] : ! [v6: $i] : % 90.63/12.50 | (v6 = v5 | ~ (icext(v3, v6) = 0) | ~ (icext(v3, v5) = 0) | ~ % 90.63/12.50 | $i(v6) | ~ $i(v5) | ? [v7: any] : ? [v8: any] : (iext(v2, % 90.63/12.50 | v4, v6) = v8 & iext(v2, v4, v5) = v7 & ( ~ (v8 = 0) | ~ % 90.63/12.50 | (v7 = 0)))))))) % 90.63/12.50 | % 90.63/12.50 | ALPHA: (owl_restrict_minqcr_data_001) implies: % 90.63/12.50 | (9) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.50 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 90.63/12.50 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ % 90.63/12.50 | (iext(uri_owl_onDataRange, v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | % 90.63/12.50 | ~ $i(v1) | ? [v4: any] : ? [v5: any] : (iodp(v2) = v5 & % 90.63/12.50 | iext(uri_owl_minQualifiedCardinality, v1, v0) = v4 & ( ~ (v4 = 0) % 90.63/12.50 | | (v5 = 0 & ! [v6: $i] : ! [v7: int] : (v7 = 0 | ~ % 90.63/12.50 | (icext(v1, v6) = v7) | ~ $i(v6) | ! [v8: $i] : ( ~ % 90.63/12.50 | (lv(v8) = 0) | ~ $i(v8) | ? [v9: any] : ? [v10: any] : % 90.63/12.50 | (icext(v3, v8) = v10 & iext(v2, v6, v8) = v9 & ( ~ (v10 = % 90.63/12.50 | 0) | ~ (v9 = 0))))) & ! [v6: $i] : ( ~ (icext(v1, % 90.63/12.50 | v6) = 0) | ~ $i(v6) | ? [v7: $i] : (icext(v3, v7) = 0 % 90.63/12.50 | & lv(v7) = 0 & iext(v2, v6, v7) = 0 & $i(v7)))))))) % 90.63/12.50 | % 90.63/12.50 | ALPHA: (owl_restrict_minqcr_object_001) implies: % 90.63/12.50 | (10) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.50 | v0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 90.63/12.50 | (iext(uri_owl_onProperty, v1, v2) = 0) | ~ (iext(uri_owl_onClass, % 90.63/12.50 | v1, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: % 90.63/12.50 | int] : ( ~ (v4 = 0) & iext(uri_owl_minQualifiedCardinality, v1, % 90.63/12.50 | v0) = v4) | ( ! [v4: $i] : ! [v5: int] : (v5 = 0 | ~ % 90.63/12.50 | (icext(v1, v4) = v5) | ~ $i(v4) | ! [v6: $i] : ( ~ % 90.63/12.50 | (icext(v3, v6) = 0) | ~ $i(v6) | ? [v7: int] : ( ~ (v7 = % 90.63/12.50 | 0) & iext(v2, v4, v6) = v7))) & ! [v4: $i] : ( ~ % 90.63/12.50 | (icext(v1, v4) = 0) | ~ $i(v4) | ? [v5: $i] : (icext(v3, v5) % 90.63/12.50 | = 0 & iext(v2, v4, v5) = 0 & $i(v5)))))) % 90.63/12.50 | % 90.63/12.51 | ALPHA: (premise_rdfbased_sem_restrict_minqcr_inst_subj_one) implies: % 90.63/12.51 | (11) $i(uri_ex_p) % 90.63/12.51 | (12) $i(uri_ex_c) % 90.63/12.51 | (13) $i(uri_ex_x) % 90.63/12.51 | (14) ? [v0: $i] : (literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = % 90.63/12.51 | v0 & iext(uri_ex_p, uri_ex_w, uri_ex_x) = 0 & % 90.63/12.51 | iext(uri_owl_onProperty, uri_ex_z, uri_ex_p) = 0 & % 90.63/12.51 | iext(uri_owl_onClass, uri_ex_z, uri_ex_c) = 0 & % 90.63/12.51 | iext(uri_owl_minQualifiedCardinality, uri_ex_z, v0) = 0 & % 90.63/12.51 | iext(uri_rdf_type, uri_ex_x, uri_ex_c) = 0 & $i(v0)) % 90.63/12.51 | % 90.63/12.51 | ALPHA: (conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) implies: % 90.63/12.51 | (15) $i(uri_ex_w) % 90.63/12.51 | (16) $i(uri_ex_z) % 90.63/12.51 | (17) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_rdf_type, uri_ex_w, uri_ex_z) = % 90.63/12.51 | v0) % 90.63/12.51 | % 90.63/12.51 | ALPHA: (function-axioms) implies: % 90.63/12.51 | (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 90.63/12.51 | (literal_typed(v3, v2) = v1) | ~ (literal_typed(v3, v2) = v0)) % 90.63/12.51 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 90.63/12.51 | : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | % 90.63/12.51 | ~ (iext(v4, v3, v2) = v0)) % 90.63/12.51 | % 90.63/12.51 | DELTA: instantiating (17) with fresh symbol all_322_0 gives: % 90.63/12.51 | (20) ~ (all_322_0 = 0) & iext(uri_rdf_type, uri_ex_w, uri_ex_z) = % 90.63/12.51 | all_322_0 % 90.63/12.51 | % 90.63/12.51 | ALPHA: (20) implies: % 90.63/12.51 | (21) ~ (all_322_0 = 0) % 90.63/12.51 | (22) iext(uri_rdf_type, uri_ex_w, uri_ex_z) = all_322_0 % 90.63/12.51 | % 90.63/12.51 | DELTA: instantiating (14) with fresh symbol all_334_0 gives: % 90.63/12.51 | (23) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_334_0 & % 90.63/12.51 | iext(uri_ex_p, uri_ex_w, uri_ex_x) = 0 & iext(uri_owl_onProperty, % 90.63/12.51 | uri_ex_z, uri_ex_p) = 0 & iext(uri_owl_onClass, uri_ex_z, uri_ex_c) % 90.63/12.51 | = 0 & iext(uri_owl_minQualifiedCardinality, uri_ex_z, all_334_0) = 0 & % 90.63/12.51 | iext(uri_rdf_type, uri_ex_x, uri_ex_c) = 0 & $i(all_334_0) % 90.63/12.51 | % 90.63/12.51 | ALPHA: (23) implies: % 90.63/12.51 | (24) iext(uri_rdf_type, uri_ex_x, uri_ex_c) = 0 % 90.63/12.51 | (25) iext(uri_owl_minQualifiedCardinality, uri_ex_z, all_334_0) = 0 % 90.63/12.51 | (26) iext(uri_owl_onClass, uri_ex_z, uri_ex_c) = 0 % 90.63/12.51 | (27) iext(uri_owl_onProperty, uri_ex_z, uri_ex_p) = 0 % 90.63/12.51 | (28) iext(uri_ex_p, uri_ex_w, uri_ex_x) = 0 % 90.63/12.51 | (29) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_334_0 % 90.63/12.51 | % 90.63/12.51 | DELTA: instantiating (10) with fresh symbol all_354_0 gives: % 90.63/12.51 | (30) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_354_0 & % 90.63/12.51 | $i(all_354_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.51 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ (iext(uri_owl_onClass, % 90.63/12.51 | v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] % 90.63/12.51 | : ( ~ (v3 = 0) & iext(uri_owl_minQualifiedCardinality, v0, % 90.63/12.51 | all_354_0) = v3) | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 90.63/12.51 | (icext(v0, v3) = v4) | ~ $i(v3) | ! [v5: $i] : ( ~ (icext(v2, % 90.63/12.51 | v5) = 0) | ~ $i(v5) | ? [v6: int] : ( ~ (v6 = 0) & % 90.63/12.51 | iext(v1, v3, v5) = v6))) & ! [v3: $i] : ( ~ (icext(v0, v3) % 90.63/12.51 | = 0) | ~ $i(v3) | ? [v4: $i] : (icext(v2, v4) = 0 & iext(v1, % 90.63/12.51 | v3, v4) = 0 & $i(v4))))) % 90.63/12.51 | % 90.63/12.51 | ALPHA: (30) implies: % 90.63/12.51 | (31) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_354_0 % 90.63/12.51 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.51 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ (iext(uri_owl_onClass, % 90.63/12.51 | v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] % 90.63/12.51 | : ( ~ (v3 = 0) & iext(uri_owl_minQualifiedCardinality, v0, % 90.63/12.51 | all_354_0) = v3) | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 90.63/12.51 | (icext(v0, v3) = v4) | ~ $i(v3) | ! [v5: $i] : ( ~ (icext(v2, % 90.63/12.51 | v5) = 0) | ~ $i(v5) | ? [v6: int] : ( ~ (v6 = 0) & % 90.63/12.51 | iext(v1, v3, v5) = v6))) & ! [v3: $i] : ( ~ (icext(v0, v3) % 90.63/12.51 | = 0) | ~ $i(v3) | ? [v4: $i] : (icext(v2, v4) = 0 & iext(v1, % 90.63/12.51 | v3, v4) = 0 & $i(v4))))) % 90.63/12.51 | % 90.63/12.51 | DELTA: instantiating (6) with fresh symbol all_366_0 gives: % 90.63/12.51 | (33) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_366_0 & % 90.63/12.51 | $i(all_366_0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 90.63/12.51 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? % 90.63/12.51 | [v2: int] : ( ~ (v2 = 0) & iext(uri_owl_maxCardinality, v0, % 90.63/12.51 | all_366_0) = v2) | ( ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 90.63/12.52 | (icext(v0, v2) = v3) | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] : ( % 90.63/12.52 | ~ (v5 = v4) & iext(v1, v2, v5) = 0 & iext(v1, v2, v4) = 0 & % 90.63/12.52 | $i(v5) & $i(v4))) & ! [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ % 90.63/12.52 | $i(v2) | ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (iext(v1, v2, % 90.63/12.52 | v4) = 0) | ~ (iext(v1, v2, v3) = 0) | ~ $i(v4) | ~ % 90.63/12.52 | $i(v3))))) % 90.63/12.52 | % 90.63/12.52 | ALPHA: (33) implies: % 90.63/12.52 | (34) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_366_0 % 90.63/12.52 | % 90.63/12.52 | DELTA: instantiating (9) with fresh symbol all_372_0 gives: % 90.63/12.52 | (35) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_372_0 & % 90.63/12.52 | $i(all_372_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.52 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ % 90.63/12.52 | (iext(uri_owl_onDataRange, v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 90.63/12.52 | $i(v0) | ? [v3: any] : ? [v4: any] : (iodp(v1) = v4 & % 90.63/12.52 | iext(uri_owl_minQualifiedCardinality, v0, all_372_0) = v3 & ( ~ % 90.63/12.52 | (v3 = 0) | (v4 = 0 & ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ % 90.63/12.52 | (icext(v0, v5) = v6) | ~ $i(v5) | ! [v7: $i] : ( ~ (lv(v7) % 90.63/12.52 | = 0) | ~ $i(v7) | ? [v8: any] : ? [v9: any] : % 90.63/12.52 | (icext(v2, v7) = v9 & iext(v1, v5, v7) = v8 & ( ~ (v9 = 0) % 90.63/12.52 | | ~ (v8 = 0))))) & ! [v5: $i] : ( ~ (icext(v0, v5) = % 90.63/12.52 | 0) | ~ $i(v5) | ? [v6: $i] : (icext(v2, v6) = 0 & lv(v6) % 90.63/12.52 | = 0 & iext(v1, v5, v6) = 0 & $i(v6))))))) % 90.63/12.52 | % 90.63/12.52 | ALPHA: (35) implies: % 90.63/12.52 | (36) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_372_0 % 90.63/12.52 | % 90.63/12.52 | DELTA: instantiating (3) with fresh symbol all_378_0 gives: % 90.63/12.52 | (37) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_378_0 & % 90.63/12.52 | $i(all_378_0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 90.63/12.52 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? % 90.63/12.52 | [v2: int] : ( ~ (v2 = 0) & iext(uri_owl_cardinality, v0, all_378_0) % 90.63/12.52 | = v2) | ( ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (icext(v0, v2) % 90.63/12.52 | = v3) | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] : ( ~ (v5 = v4) % 90.63/12.52 | & iext(v1, v2, v5) = 0 & iext(v1, v2, v4) = 0 & $i(v5) & % 90.63/12.52 | $i(v4)) | ! [v4: $i] : ( ~ (iext(v1, v2, v4) = 0) | ~ % 90.63/12.52 | $i(v4))) & ! [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | % 90.63/12.52 | ( ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (iext(v1, v2, v4) = % 90.63/12.52 | 0) | ~ (iext(v1, v2, v3) = 0) | ~ $i(v4) | ~ $i(v3)) & % 90.63/12.52 | ? [v3: $i] : (iext(v1, v2, v3) = 0 & $i(v3)))))) % 90.63/12.52 | % 90.63/12.52 | ALPHA: (37) implies: % 90.63/12.52 | (38) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_378_0 % 90.63/12.52 | % 90.63/12.52 | DELTA: instantiating (8) with fresh symbol all_390_0 gives: % 90.63/12.52 | (39) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_390_0 & % 90.63/12.52 | $i(all_390_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.52 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ (iext(uri_owl_onClass, % 90.63/12.52 | v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] % 90.63/12.52 | : ( ~ (v3 = 0) & iext(uri_owl_maxQualifiedCardinality, v0, % 90.63/12.52 | all_390_0) = v3) | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ % 90.63/12.52 | (icext(v0, v3) = v4) | ~ $i(v3) | ? [v5: $i] : ? [v6: $i] : ( % 90.63/12.52 | ~ (v6 = v5) & icext(v2, v6) = 0 & icext(v2, v5) = 0 & iext(v1, % 90.63/12.52 | v3, v6) = 0 & iext(v1, v3, v5) = 0 & $i(v6) & $i(v5))) & ! % 90.63/12.52 | [v3: $i] : ( ~ (icext(v0, v3) = 0) | ~ $i(v3) | ! [v4: $i] : ! % 90.63/12.52 | [v5: $i] : (v5 = v4 | ~ (icext(v2, v5) = 0) | ~ (icext(v2, v4) % 90.63/12.52 | = 0) | ~ $i(v5) | ~ $i(v4) | ? [v6: any] : ? [v7: any] : % 90.63/12.52 | (iext(v1, v3, v5) = v7 & iext(v1, v3, v4) = v6 & ( ~ (v7 = 0) % 90.63/12.52 | | ~ (v6 = 0))))))) % 90.63/12.52 | % 90.63/12.52 | ALPHA: (39) implies: % 90.63/12.52 | (40) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_390_0 % 90.63/12.52 | % 90.63/12.52 | DELTA: instantiating (5) with fresh symbol all_396_0 gives: % 90.63/12.52 | (41) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_396_0 & % 90.63/12.52 | $i(all_396_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.52 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ (iext(uri_owl_onClass, % 90.63/12.52 | v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] % 90.63/12.52 | : ( ~ (v3 = 0) & iext(uri_owl_qualifiedCardinality, v0, all_396_0) = % 90.63/12.52 | v3) | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (icext(v0, v3) = % 90.63/12.52 | v4) | ~ $i(v3) | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) & % 90.63/12.52 | icext(v2, v6) = 0 & icext(v2, v5) = 0 & iext(v1, v3, v6) = 0 & % 90.63/12.52 | iext(v1, v3, v5) = 0 & $i(v6) & $i(v5)) | ! [v5: $i] : ( ~ % 90.63/12.52 | (icext(v2, v5) = 0) | ~ $i(v5) | ? [v6: int] : ( ~ (v6 = 0) % 90.63/12.52 | & iext(v1, v3, v5) = v6))) & ! [v3: $i] : ( ~ (icext(v0, % 90.63/12.52 | v3) = 0) | ~ $i(v3) | ( ! [v4: $i] : ! [v5: $i] : (v5 = v4 % 90.63/12.52 | | ~ (icext(v2, v5) = 0) | ~ (icext(v2, v4) = 0) | ~ % 90.63/12.52 | $i(v5) | ~ $i(v4) | ? [v6: any] : ? [v7: any] : (iext(v1, % 90.63/12.52 | v3, v5) = v7 & iext(v1, v3, v4) = v6 & ( ~ (v7 = 0) | ~ % 90.63/12.52 | (v6 = 0)))) & ? [v4: $i] : (icext(v2, v4) = 0 & % 90.63/12.52 | iext(v1, v3, v4) = 0 & $i(v4)))))) % 90.63/12.52 | % 90.63/12.52 | ALPHA: (41) implies: % 90.63/12.52 | (42) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_396_0 % 90.63/12.52 | % 90.63/12.52 | DELTA: instantiating (7) with fresh symbol all_402_0 gives: % 90.63/12.53 | (43) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_402_0 & % 90.63/12.53 | $i(all_402_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.53 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ % 90.63/12.53 | (iext(uri_owl_onDataRange, v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 90.63/12.53 | $i(v0) | ? [v3: any] : ? [v4: any] : (iodp(v1) = v4 & % 90.63/12.53 | iext(uri_owl_maxQualifiedCardinality, v0, all_402_0) = v3 & ( ~ % 90.63/12.53 | (v3 = 0) | (v4 = 0 & ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ % 90.63/12.53 | (icext(v0, v5) = v6) | ~ $i(v5) | ? [v7: $i] : ? [v8: $i] % 90.63/12.53 | : ( ~ (v8 = v7) & icext(v2, v8) = 0 & icext(v2, v7) = 0 & % 90.63/12.53 | lv(v8) = 0 & lv(v7) = 0 & iext(v1, v5, v8) = 0 & iext(v1, % 90.63/12.53 | v5, v7) = 0 & $i(v8) & $i(v7))) & ! [v5: $i] : ( ~ % 90.63/12.53 | (icext(v0, v5) = 0) | ~ $i(v5) | ! [v6: $i] : ! [v7: $i] % 90.63/12.53 | : (v7 = v6 | ~ (lv(v7) = 0) | ~ (lv(v6) = 0) | ~ $i(v7) | % 90.63/12.53 | ~ $i(v6) | ? [v8: any] : ? [v9: any] : ? [v10: any] : % 90.63/12.53 | ? [v11: any] : (icext(v2, v7) = v11 & icext(v2, v6) = v9 & % 90.63/12.53 | iext(v1, v5, v7) = v10 & iext(v1, v5, v6) = v8 & ( ~ % 90.63/12.53 | (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = % 90.63/12.53 | 0))))))))) % 90.63/12.53 | % 90.63/12.53 | ALPHA: (43) implies: % 90.63/12.53 | (44) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_402_0 % 90.63/12.53 | % 90.63/12.53 | DELTA: instantiating (4) with fresh symbol all_414_0 gives: % 90.63/12.53 | (45) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_414_0 & % 90.63/12.53 | $i(all_414_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 90.63/12.53 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ % 90.63/12.53 | (iext(uri_owl_onDataRange, v0, v2) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 90.63/12.53 | $i(v0) | ? [v3: any] : ? [v4: any] : (iodp(v1) = v4 & % 90.63/12.53 | iext(uri_owl_qualifiedCardinality, v0, all_414_0) = v3 & ( ~ (v3 = % 90.63/12.53 | 0) | (v4 = 0 & ! [v5: $i] : ! [v6: int] : (v6 = 0 | ~ % 90.63/12.53 | (icext(v0, v5) = v6) | ~ $i(v5) | ? [v7: $i] : ? [v8: $i] % 90.63/12.53 | : ( ~ (v8 = v7) & icext(v2, v8) = 0 & icext(v2, v7) = 0 & % 90.63/12.53 | lv(v8) = 0 & lv(v7) = 0 & iext(v1, v5, v8) = 0 & iext(v1, % 90.63/12.53 | v5, v7) = 0 & $i(v8) & $i(v7)) | ! [v7: $i] : ( ~ % 90.63/12.53 | (lv(v7) = 0) | ~ $i(v7) | ? [v8: any] : ? [v9: any] : % 90.63/12.53 | (icext(v2, v7) = v9 & iext(v1, v5, v7) = v8 & ( ~ (v9 = 0) % 90.63/12.53 | | ~ (v8 = 0))))) & ! [v5: $i] : ( ~ (icext(v0, v5) = % 90.63/12.53 | 0) | ~ $i(v5) | ( ! [v6: $i] : ! [v7: $i] : (v7 = v6 | % 90.63/12.53 | ~ (lv(v7) = 0) | ~ (lv(v6) = 0) | ~ $i(v7) | ~ $i(v6) % 90.63/12.53 | | ? [v8: any] : ? [v9: any] : ? [v10: any] : ? [v11: % 90.63/12.53 | any] : (icext(v2, v7) = v11 & icext(v2, v6) = v9 & % 90.63/12.53 | iext(v1, v5, v7) = v10 & iext(v1, v5, v6) = v8 & ( ~ % 90.63/12.53 | (v11 = 0) | ~ (v10 = 0) | ~ (v9 = 0) | ~ (v8 = % 90.63/12.53 | 0)))) & ? [v6: $i] : (icext(v2, v6) = 0 & lv(v6) % 90.63/12.53 | = 0 & iext(v1, v5, v6) = 0 & $i(v6)))))))) % 90.63/12.53 | % 90.63/12.53 | ALPHA: (45) implies: % 90.63/12.53 | (46) literal_typed(dat_str_1, uri_xsd_nonNegativeInteger) = all_414_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_372_0, all_378_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (36), % 90.63/12.53 | (38) gives: % 90.63/12.53 | (47) all_378_0 = all_372_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_366_0, all_378_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (34), % 90.63/12.53 | (38) gives: % 90.63/12.53 | (48) all_378_0 = all_366_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_378_0, all_390_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (38), % 90.63/12.53 | (40) gives: % 90.63/12.53 | (49) all_390_0 = all_378_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_390_0, all_396_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (40), % 90.63/12.53 | (42) gives: % 90.63/12.53 | (50) all_396_0 = all_390_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_366_0, all_402_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (34), % 90.63/12.53 | (44) gives: % 90.63/12.53 | (51) all_402_0 = all_366_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_354_0, all_402_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (31), % 90.63/12.53 | (44) gives: % 90.63/12.53 | (52) all_402_0 = all_354_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_396_0, all_414_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (42), % 90.63/12.53 | (46) gives: % 90.63/12.53 | (53) all_414_0 = all_396_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (18) with all_334_0, all_414_0, % 90.63/12.53 | uri_xsd_nonNegativeInteger, dat_str_1, simplifying with (29), % 90.63/12.53 | (46) gives: % 90.63/12.53 | (54) all_414_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (53), (54) imply: % 90.63/12.53 | (55) all_396_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | SIMP: (55) implies: % 90.63/12.53 | (56) all_396_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (51), (52) imply: % 90.63/12.53 | (57) all_366_0 = all_354_0 % 90.63/12.53 | % 90.63/12.53 | SIMP: (57) implies: % 90.63/12.53 | (58) all_366_0 = all_354_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (50), (56) imply: % 90.63/12.53 | (59) all_390_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | SIMP: (59) implies: % 90.63/12.53 | (60) all_390_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (49), (60) imply: % 90.63/12.53 | (61) all_378_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | SIMP: (61) implies: % 90.63/12.53 | (62) all_378_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (47), (48) imply: % 90.63/12.53 | (63) all_372_0 = all_366_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (47), (62) imply: % 90.63/12.53 | (64) all_372_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (63), (64) imply: % 90.63/12.53 | (65) all_366_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | SIMP: (65) implies: % 90.63/12.53 | (66) all_366_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | COMBINE_EQS: (58), (66) imply: % 90.63/12.53 | (67) all_354_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | SIMP: (67) implies: % 90.63/12.53 | (68) all_354_0 = all_334_0 % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (2) with uri_ex_w, uri_ex_z, all_322_0, simplifying % 90.63/12.53 | with (15), (16), (22) gives: % 90.63/12.53 | (69) all_322_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_ex_z, % 90.63/12.53 | uri_ex_w) = v0) % 90.63/12.53 | % 90.63/12.53 | GROUND_INST: instantiating (1) with uri_ex_x, uri_ex_c, simplifying with (12), % 90.63/12.53 | (13), (24) gives: % 90.63/12.53 | (70) icext(uri_ex_c, uri_ex_x) = 0 % 90.63/12.53 | % 90.63/12.54 | GROUND_INST: instantiating (32) with uri_ex_z, uri_ex_p, uri_ex_c, simplifying % 90.63/12.54 | with (11), (12), (16), (26), (27) gives: % 90.63/12.54 | (71) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_minQualifiedCardinality, % 90.63/12.54 | uri_ex_z, all_354_0) = v0) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 % 90.63/12.54 | | ~ (icext(uri_ex_z, v0) = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ % 90.63/12.54 | (icext(uri_ex_c, v2) = 0) | ~ $i(v2) | ? [v3: int] : ( ~ (v3 = % 90.63/12.54 | 0) & iext(uri_ex_p, v0, v2) = v3))) & ! [v0: $i] : ( ~ % 90.63/12.54 | (icext(uri_ex_z, v0) = 0) | ~ $i(v0) | ? [v1: $i] : % 90.63/12.54 | (icext(uri_ex_c, v1) = 0 & iext(uri_ex_p, v0, v1) = 0 & $i(v1)))) % 90.63/12.54 | % 90.63/12.54 | BETA: splitting (71) gives: % 90.63/12.54 | % 90.63/12.54 | Case 1: % 90.63/12.54 | | % 90.63/12.54 | | (72) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_owl_minQualifiedCardinality, % 90.63/12.54 | | uri_ex_z, all_354_0) = v0) % 90.63/12.54 | | % 90.63/12.54 | | DELTA: instantiating (72) with fresh symbol all_631_0 gives: % 90.63/12.54 | | (73) ~ (all_631_0 = 0) & iext(uri_owl_minQualifiedCardinality, uri_ex_z, % 90.63/12.54 | | all_354_0) = all_631_0 % 90.63/12.54 | | % 90.63/12.54 | | ALPHA: (73) implies: % 90.63/12.54 | | (74) ~ (all_631_0 = 0) % 90.63/12.54 | | (75) iext(uri_owl_minQualifiedCardinality, uri_ex_z, all_354_0) = % 90.63/12.54 | | all_631_0 % 90.63/12.54 | | % 90.63/12.54 | | REDUCE: (68), (75) imply: % 90.63/12.54 | | (76) iext(uri_owl_minQualifiedCardinality, uri_ex_z, all_334_0) = % 90.63/12.54 | | all_631_0 % 90.63/12.54 | | % 90.63/12.54 | | GROUND_INST: instantiating (19) with 0, all_631_0, all_334_0, uri_ex_z, % 90.63/12.54 | | uri_owl_minQualifiedCardinality, simplifying with (25), (76) % 90.63/12.54 | | gives: % 90.63/12.54 | | (77) all_631_0 = 0 % 90.63/12.54 | | % 90.63/12.54 | | REDUCE: (74), (77) imply: % 90.63/12.54 | | (78) $false % 90.63/12.54 | | % 90.63/12.54 | | CLOSE: (78) is inconsistent. % 90.63/12.54 | | % 90.63/12.54 | Case 2: % 90.63/12.54 | | % 90.63/12.54 | | (79) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_ex_z, v0) = v1) % 90.63/12.54 | | | ~ $i(v0) | ! [v2: $i] : ( ~ (icext(uri_ex_c, v2) = 0) | ~ % 90.63/12.54 | | $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & iext(uri_ex_p, v0, v2) = % 90.63/12.54 | | v3))) & ! [v0: $i] : ( ~ (icext(uri_ex_z, v0) = 0) | ~ % 90.63/12.54 | | $i(v0) | ? [v1: $i] : (icext(uri_ex_c, v1) = 0 & iext(uri_ex_p, % 90.63/12.54 | | v0, v1) = 0 & $i(v1))) % 90.63/12.54 | | % 90.63/12.54 | | ALPHA: (79) implies: % 90.63/12.54 | | (80) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_ex_z, v0) = v1) % 90.63/12.54 | | | ~ $i(v0) | ! [v2: $i] : ( ~ (icext(uri_ex_c, v2) = 0) | ~ % 90.63/12.54 | | $i(v2) | ? [v3: int] : ( ~ (v3 = 0) & iext(uri_ex_p, v0, v2) = % 90.63/12.54 | | v3))) % 90.63/12.54 | | % 90.63/12.54 | | BETA: splitting (69) gives: % 90.63/12.54 | | % 90.63/12.54 | | Case 1: % 90.63/12.54 | | | % 90.63/12.54 | | | (81) all_322_0 = 0 % 90.63/12.54 | | | % 90.63/12.54 | | | REDUCE: (21), (81) imply: % 90.63/12.54 | | | (82) $false % 90.63/12.54 | | | % 90.63/12.54 | | | CLOSE: (82) is inconsistent. % 90.63/12.54 | | | % 90.63/12.54 | | Case 2: % 90.63/12.54 | | | % 90.63/12.54 | | | (83) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_ex_z, uri_ex_w) = v0) % 90.63/12.54 | | | % 90.63/12.54 | | | DELTA: instantiating (83) with fresh symbol all_634_0 gives: % 90.63/12.54 | | | (84) ~ (all_634_0 = 0) & icext(uri_ex_z, uri_ex_w) = all_634_0 % 90.63/12.54 | | | % 90.63/12.54 | | | ALPHA: (84) implies: % 90.63/12.54 | | | (85) ~ (all_634_0 = 0) % 90.63/12.54 | | | (86) icext(uri_ex_z, uri_ex_w) = all_634_0 % 90.63/12.54 | | | % 90.63/12.54 | | | GROUND_INST: instantiating (80) with uri_ex_w, all_634_0, simplifying with % 90.63/12.54 | | | (15), (86) gives: % 90.63/12.54 | | | (87) all_634_0 = 0 | ! [v0: $i] : ( ~ (icext(uri_ex_c, v0) = 0) | ~ % 90.63/12.54 | | | $i(v0) | ? [v1: int] : ( ~ (v1 = 0) & iext(uri_ex_p, uri_ex_w, % 90.63/12.54 | | | v0) = v1)) % 90.63/12.54 | | | % 90.63/12.54 | | | BETA: splitting (87) gives: % 90.63/12.54 | | | % 90.63/12.54 | | | Case 1: % 90.63/12.54 | | | | % 90.63/12.54 | | | | (88) all_634_0 = 0 % 90.63/12.54 | | | | % 90.63/12.54 | | | | REDUCE: (85), (88) imply: % 90.63/12.54 | | | | (89) $false % 90.63/12.54 | | | | % 90.63/12.54 | | | | CLOSE: (89) is inconsistent. % 90.63/12.54 | | | | % 90.63/12.54 | | | Case 2: % 90.63/12.54 | | | | % 90.63/12.54 | | | | (90) ! [v0: $i] : ( ~ (icext(uri_ex_c, v0) = 0) | ~ $i(v0) | ? % 90.63/12.54 | | | | [v1: int] : ( ~ (v1 = 0) & iext(uri_ex_p, uri_ex_w, v0) = v1)) % 90.63/12.54 | | | | % 90.63/12.54 | | | | GROUND_INST: instantiating (90) with uri_ex_x, simplifying with (13), % 90.63/12.54 | | | | (70) gives: % 90.63/12.54 | | | | (91) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_ex_p, uri_ex_w, uri_ex_x) % 90.63/12.54 | | | | = v0) % 90.63/12.54 | | | | % 90.63/12.54 | | | | DELTA: instantiating (91) with fresh symbol all_731_0 gives: % 90.63/12.54 | | | | (92) ~ (all_731_0 = 0) & iext(uri_ex_p, uri_ex_w, uri_ex_x) = % 90.63/12.54 | | | | all_731_0 % 90.63/12.54 | | | | % 90.63/12.54 | | | | ALPHA: (92) implies: % 90.63/12.54 | | | | (93) ~ (all_731_0 = 0) % 90.63/12.54 | | | | (94) iext(uri_ex_p, uri_ex_w, uri_ex_x) = all_731_0 % 90.63/12.54 | | | | % 90.63/12.54 | | | | GROUND_INST: instantiating (19) with 0, all_731_0, uri_ex_x, uri_ex_w, % 90.63/12.54 | | | | uri_ex_p, simplifying with (28), (94) gives: % 90.63/12.54 | | | | (95) all_731_0 = 0 % 90.63/12.54 | | | | % 90.63/12.54 | | | | REDUCE: (93), (95) imply: % 90.63/12.54 | | | | (96) $false % 90.63/12.54 | | | | % 90.63/12.54 | | | | CLOSE: (96) is inconsistent. % 90.63/12.54 | | | | % 90.63/12.54 | | | End of split % 90.63/12.54 | | | % 90.63/12.54 | | End of split % 90.63/12.54 | | % 90.63/12.54 | End of split % 90.63/12.54 | % 90.63/12.54 End of proof % 90.63/12.54 % SZS output end Proof for theBenchmark % 90.63/12.54 % 90.63/12.54 11941ms %------------------------------------------------------------------------------