%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB004+2 : TPTP v8.1.2. Released v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 20:11:34 EDT 2023 % Result : Theorem 7.25s 1.85s % Output : Proof 10.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB004+2 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n002.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Sun Aug 27 07:37:48 EDT 2023 % 0.14/0.34 % CPUTime : % 0.21/0.59 ________ _____ % 0.21/0.59 ___ __ \_________(_)________________________________ % 0.21/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.59 % 0.21/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.59 (2023-06-19) % 0.21/0.59 % 0.21/0.59 (c) Philipp Rümmer, 2009-2023 % 0.21/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.59 Amanda Stjerna. % 0.21/0.59 Free software under BSD-3-Clause. % 0.21/0.59 % 0.21/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.59 % 0.21/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.21/0.60 Running up to 7 provers in parallel. % 0.21/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.30/1.01 Prover 4: Preprocessing ... % 2.30/1.01 Prover 1: Preprocessing ... % 2.41/1.05 Prover 3: Preprocessing ... % 2.41/1.05 Prover 0: Preprocessing ... % 2.41/1.05 Prover 6: Preprocessing ... % 2.41/1.05 Prover 2: Preprocessing ... % 2.41/1.05 Prover 5: Preprocessing ... % 4.07/1.34 Prover 5: Proving ... % 4.07/1.34 Prover 2: Proving ... % 4.55/1.37 Prover 3: Constructing countermodel ... % 4.55/1.37 Prover 6: Proving ... % 4.78/1.38 Prover 1: Constructing countermodel ... % 4.91/1.41 Prover 4: Constructing countermodel ... % 5.10/1.45 Prover 0: Proving ... % 7.25/1.84 Prover 6: proved (1220ms) % 7.25/1.85 % 7.25/1.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.25/1.85 % 7.25/1.85 Prover 5: stopped % 7.25/1.85 Prover 0: stopped % 7.25/1.86 Prover 3: stopped % 7.25/1.86 Prover 2: stopped % 8.28/1.87 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.28/1.87 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.28/1.87 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 8.28/1.88 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 8.28/1.88 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 8.28/1.89 Prover 8: Preprocessing ... % 8.28/1.89 Prover 10: Preprocessing ... % 8.28/1.89 Prover 7: Preprocessing ... % 8.28/1.91 Prover 13: Preprocessing ... % 8.28/1.91 Prover 11: Preprocessing ... % 8.28/1.94 Prover 10: Warning: ignoring some quantifiers % 8.28/1.94 Prover 7: Warning: ignoring some quantifiers % 8.28/1.94 Prover 7: Constructing countermodel ... % 8.28/1.95 Prover 13: Warning: ignoring some quantifiers % 8.28/1.95 Prover 13: Constructing countermodel ... % 8.28/1.95 Prover 10: Constructing countermodel ... % 8.88/1.99 Prover 8: Warning: ignoring some quantifiers % 8.88/1.99 Prover 8: Constructing countermodel ... % 8.88/2.03 Prover 11: Constructing countermodel ... % 9.61/2.05 Prover 1: Found proof (size 152) % 9.61/2.05 Prover 1: proved (1441ms) % 9.61/2.05 Prover 10: stopped % 9.61/2.05 Prover 8: stopped % 9.61/2.06 Prover 7: stopped % 9.61/2.06 Prover 11: stopped % 9.61/2.06 Prover 13: stopped % 9.61/2.06 Prover 4: stopped % 9.61/2.06 % 9.61/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 9.61/2.06 % 9.61/2.07 % SZS output start Proof for theBenchmark % 9.61/2.07 Assumptions after simplification: % 9.61/2.07 --------------------------------- % 9.61/2.07 % 9.61/2.08 (owl_class_classowl_ext) % 9.85/2.10 $i(uri_owl_Class) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 9.85/2.10 (icext(uri_owl_Class, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 9.85/2.10 ic(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = 0) | ~ % 9.85/2.10 $i(v0) | ic(v0) = 0) % 9.85/2.10 % 9.85/2.10 (owl_class_classowl_type) % 9.85/2.10 ic(uri_owl_Class) = 0 & $i(uri_owl_Class) % 9.85/2.10 % 9.85/2.10 (owl_class_classrdfs_ext) % 9.85/2.10 $i(uri_rdfs_Class) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 9.85/2.10 (icext(uri_rdfs_Class, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 9.85/2.10 ic(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_rdfs_Class, v0) = 0) | ~ % 9.85/2.10 $i(v0) | ic(v0) = 0) % 9.85/2.10 % 9.85/2.10 (owl_class_classrdfs_type) % 9.85/2.10 ic(uri_rdfs_Class) = 0 & $i(uri_rdfs_Class) % 9.85/2.10 % 9.85/2.10 (owl_class_datatype_ext) % 9.85/2.11 $i(uri_rdfs_Datatype) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 9.85/2.11 (icext(uri_rdfs_Datatype, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = % 9.85/2.11 0) & idc(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_rdfs_Datatype, v0) = % 9.85/2.11 0) | ~ $i(v0) | idc(v0) = 0) % 9.85/2.11 % 9.85/2.11 (owl_class_datatype_type) % 9.85/2.11 ic(uri_rdfs_Datatype) = 0 & $i(uri_rdfs_Datatype) % 9.85/2.11 % 9.85/2.11 (owl_class_thing_ext) % 9.85/2.11 $i(uri_owl_Thing) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 9.85/2.11 (icext(uri_owl_Thing, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 9.85/2.11 ir(v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_owl_Thing, v0) = 0) | ~ % 9.85/2.11 $i(v0) | ir(v0) = 0) % 9.85/2.11 % 9.85/2.11 (owl_class_thing_type) % 9.85/2.11 ic(uri_owl_Thing) = 0 & $i(uri_owl_Thing) % 9.85/2.11 % 9.85/2.11 (owl_eqdis_equivalentclass) % 9.85/2.12 $i(uri_owl_equivalentClass) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = % 9.85/2.12 0 | ~ (iext(uri_owl_equivalentClass, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) % 9.85/2.12 | ? [v3: $i] : ? [v4: any] : ? [v5: any] : (icext(v1, v3) = v5 & % 9.85/2.12 icext(v0, v3) = v4 & $i(v3) & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = 0 | v4 = % 9.85/2.12 0)) | ? [v3: any] : ? [v4: any] : (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 % 9.85/2.12 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 9.85/2.12 (iext(uri_owl_equivalentClass, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 9.85/2.12 (ic(v1) = 0 & ic(v0) = 0 & ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 9.85/2.12 (icext(v0, v2) = v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & % 9.85/2.12 icext(v1, v2) = v4)) & ! [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ % 9.85/2.12 $i(v2) | icext(v1, v2) = 0))) % 9.85/2.12 % 9.85/2.12 (owl_parts_idc_cond_set) % 9.85/2.12 ! [v0: $i] : ( ~ (idc(v0) = 0) | ~ $i(v0) | ic(v0) = 0) % 9.85/2.12 % 9.85/2.12 (owl_rdfsext_subclassof) % 9.85/2.12 $i(uri_rdfs_subClassOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | % 9.85/2.12 ~ (iext(uri_rdfs_subClassOf, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? % 9.85/2.12 [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & icext(v1, v3) = v4 & icext(v0, v3) % 9.85/2.12 = 0 & $i(v3)) | ? [v3: any] : ? [v4: any] : (ic(v1) = v4 & ic(v0) = v3 & % 9.85/2.12 ( ~ (v4 = 0) | ~ (v3 = 0)))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 9.85/2.12 (iext(uri_rdfs_subClassOf, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = % 9.85/2.12 0 & ic(v0) = 0 & ! [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | % 9.85/2.12 icext(v1, v2) = 0))) % 9.85/2.12 % 9.85/2.12 (rdfs_cext_def) % 9.85/2.13 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 9.85/2.13 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( % 9.85/2.13 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 9.85/2.13 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) = % 9.85/2.13 0) % 9.85/2.13 % 9.85/2.13 (simple_ir) % 9.85/2.13 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (ir(v0) = v1) | ~ $i(v0)) % 9.85/2.13 % 9.85/2.13 (testcase_conclusion_fullish_004_Axiomatic_Triples) % 9.85/2.13 $i(uri_owl_equivalentClass) & $i(uri_rdfs_subClassOf) & $i(uri_owl_Thing) & % 9.85/2.13 $i(uri_rdfs_Datatype) & $i(uri_rdfs_Class) & $i(uri_owl_Class) & % 9.85/2.13 $i(uri_rdf_type) & ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 9.85/2.13 ? [v4: any] : (iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) = % 9.85/2.13 v3 & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) = v4 & % 9.85/2.13 iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) = v2 & % 9.85/2.13 iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = v0 & iext(uri_rdf_type, % 9.85/2.13 uri_owl_Class, uri_owl_Class) = v1 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = % 9.85/2.13 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 9.85/2.13 % 9.85/2.13 (function-axioms) % 9.85/2.13 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 9.85/2.13 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, % 9.85/2.13 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 9.85/2.13 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ % 9.85/2.13 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 9.85/2.13 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (idc(v2) = v1) | ~ % 9.85/2.13 (idc(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 9.85/2.13 ! [v2: $i] : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) & ! [v0: % 9.85/2.13 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 9.85/2.13 ~ (ir(v2) = v1) | ~ (ir(v2) = v0)) % 9.85/2.14 % 9.85/2.14 Those formulas are unsatisfiable: % 9.85/2.14 --------------------------------- % 9.85/2.14 % 9.85/2.14 Begin of proof % 9.85/2.14 | % 9.85/2.14 | ALPHA: (rdfs_cext_def) implies: % 9.85/2.14 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 9.85/2.14 | (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 9.85/2.14 | int] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) % 9.85/2.14 | % 9.85/2.14 | ALPHA: (owl_class_classowl_type) implies: % 9.85/2.14 | (2) ic(uri_owl_Class) = 0 % 9.85/2.14 | % 9.85/2.14 | ALPHA: (owl_class_classowl_ext) implies: % 9.85/2.14 | (3) ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = 0) | ~ $i(v0) | ic(v0) = % 9.85/2.14 | 0) % 9.85/2.14 | (4) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_owl_Class, v0) = % 9.85/2.14 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ic(v0) = v2)) % 9.85/2.14 | % 9.85/2.14 | ALPHA: (owl_class_classrdfs_type) implies: % 9.85/2.14 | (5) ic(uri_rdfs_Class) = 0 % 9.85/2.14 | % 9.85/2.14 | ALPHA: (owl_class_classrdfs_ext) implies: % 9.85/2.14 | (6) ! [v0: $i] : ( ~ (icext(uri_rdfs_Class, v0) = 0) | ~ $i(v0) | ic(v0) % 9.85/2.14 | = 0) % 10.08/2.14 | (7) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_rdfs_Class, v0) = % 10.08/2.14 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ic(v0) = v2)) % 10.08/2.14 | % 10.08/2.14 | ALPHA: (owl_class_datatype_type) implies: % 10.08/2.14 | (8) ic(uri_rdfs_Datatype) = 0 % 10.08/2.14 | % 10.08/2.14 | ALPHA: (owl_class_datatype_ext) implies: % 10.08/2.14 | (9) ! [v0: $i] : ( ~ (icext(uri_rdfs_Datatype, v0) = 0) | ~ $i(v0) | % 10.08/2.14 | idc(v0) = 0) % 10.08/2.14 | % 10.08/2.14 | ALPHA: (owl_class_thing_type) implies: % 10.08/2.15 | (10) ic(uri_owl_Thing) = 0 % 10.08/2.15 | % 10.08/2.15 | ALPHA: (owl_class_thing_ext) implies: % 10.08/2.15 | (11) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(uri_owl_Thing, v0) = % 10.08/2.15 | v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & ir(v0) = v2)) % 10.08/2.15 | % 10.08/2.15 | ALPHA: (owl_rdfsext_subclassof) implies: % 10.10/2.15 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 10.10/2.15 | (iext(uri_rdfs_subClassOf, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 10.10/2.15 | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & icext(v1, v3) = v4 & % 10.10/2.15 | icext(v0, v3) = 0 & $i(v3)) | ? [v3: any] : ? [v4: any] : % 10.10/2.15 | (ic(v1) = v4 & ic(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 10.10/2.15 | % 10.10/2.15 | ALPHA: (owl_eqdis_equivalentclass) implies: % 10.10/2.15 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_owl_equivalentClass, v0, v1) % 10.10/2.15 | = 0) | ~ $i(v1) | ~ $i(v0) | (ic(v1) = 0 & ic(v0) = 0 & ! [v2: % 10.10/2.15 | $i] : ! [v3: int] : (v3 = 0 | ~ (icext(v0, v2) = v3) | ~ % 10.10/2.15 | $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & icext(v1, v2) = v4)) & ! % 10.10/2.15 | [v2: $i] : ( ~ (icext(v0, v2) = 0) | ~ $i(v2) | icext(v1, v2) = % 10.10/2.15 | 0))) % 10.10/2.15 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 10.10/2.15 | (iext(uri_owl_equivalentClass, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) % 10.10/2.15 | | ? [v3: $i] : ? [v4: any] : ? [v5: any] : (icext(v1, v3) = v5 & % 10.10/2.15 | icext(v0, v3) = v4 & $i(v3) & ( ~ (v5 = 0) | ~ (v4 = 0)) & (v5 = % 10.10/2.15 | 0 | v4 = 0)) | ? [v3: any] : ? [v4: any] : (ic(v1) = v4 & % 10.10/2.15 | ic(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0)))) % 10.10/2.15 | % 10.10/2.15 | ALPHA: (testcase_conclusion_fullish_004_Axiomatic_Triples) implies: % 10.10/2.15 | (15) $i(uri_owl_Class) % 10.10/2.15 | (16) $i(uri_rdfs_Class) % 10.10/2.15 | (17) $i(uri_rdfs_Datatype) % 10.10/2.15 | (18) $i(uri_owl_Thing) % 10.10/2.15 | (19) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : ? [v4: % 10.10/2.15 | any] : (iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) % 10.10/2.15 | = v3 & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) = % 10.10/2.15 | v4 & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) = v2 & % 10.10/2.15 | iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = v0 & % 10.10/2.15 | iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) = v1 & ( ~ (v4 = 0) % 10.10/2.15 | | ~ (v3 = 0) | ~ (v2 = 0) | ~ (v1 = 0) | ~ (v0 = 0))) % 10.10/2.15 | % 10.10/2.15 | ALPHA: (function-axioms) implies: % 10.10/2.16 | (20) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 10.10/2.16 | : (v1 = v0 | ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) % 10.10/2.16 | % 10.10/2.16 | DELTA: instantiating (19) with fresh symbols all_13_0, all_13_1, all_13_2, % 10.10/2.16 | all_13_3, all_13_4 gives: % 10.10/2.16 | (21) iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) = % 10.10/2.16 | all_13_1 & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) % 10.10/2.16 | = all_13_0 & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) = % 10.10/2.16 | all_13_2 & iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = all_13_4 % 10.10/2.16 | & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) = all_13_3 & ( ~ % 10.10/2.16 | (all_13_0 = 0) | ~ (all_13_1 = 0) | ~ (all_13_2 = 0) | ~ % 10.10/2.16 | (all_13_3 = 0) | ~ (all_13_4 = 0)) % 10.10/2.16 | % 10.10/2.16 | ALPHA: (21) implies: % 10.10/2.16 | (22) iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) = all_13_3 % 10.10/2.16 | (23) iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) = all_13_4 % 10.10/2.16 | (24) iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) = all_13_2 % 10.10/2.16 | (25) iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) = all_13_0 % 10.10/2.16 | (26) iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) = % 10.10/2.16 | all_13_1 % 10.10/2.16 | (27) ~ (all_13_0 = 0) | ~ (all_13_1 = 0) | ~ (all_13_2 = 0) | ~ % 10.10/2.16 | (all_13_3 = 0) | ~ (all_13_4 = 0) % 10.10/2.16 | % 10.10/2.16 | GROUND_INST: instantiating (1) with uri_owl_Class, uri_owl_Class, all_13_3, % 10.10/2.16 | simplifying with (15), (22) gives: % 10.10/2.16 | (28) all_13_3 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Class, % 10.10/2.16 | uri_owl_Class) = v0) % 10.10/2.16 | % 10.10/2.16 | GROUND_INST: instantiating (1) with uri_owl_Class, uri_owl_Thing, all_13_4, % 10.10/2.16 | simplifying with (15), (18), (23) gives: % 10.10/2.16 | (29) all_13_4 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing, % 10.10/2.16 | uri_owl_Class) = v0) % 10.10/2.16 | % 10.10/2.16 | GROUND_INST: instantiating (12) with uri_owl_Class, uri_owl_Thing, all_13_2, % 10.10/2.16 | simplifying with (15), (18), (24) gives: % 10.10/2.16 | (30) all_13_2 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 10.10/2.16 | icext(uri_owl_Thing, v0) = v1 & icext(uri_owl_Class, v0) = 0 & % 10.10/2.16 | $i(v0)) | ? [v0: any] : ? [v1: any] : (ic(uri_owl_Thing) = v1 & % 10.10/2.16 | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 10.10/2.16 | % 10.10/2.16 | GROUND_INST: instantiating (12) with uri_rdfs_Datatype, uri_owl_Class, % 10.10/2.16 | all_13_0, simplifying with (15), (17), (25) gives: % 10.10/2.17 | (31) all_13_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 10.10/2.17 | icext(uri_rdfs_Datatype, v0) = 0 & icext(uri_owl_Class, v0) = v1 & % 10.10/2.17 | $i(v0)) | ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Datatype) = v0 % 10.10/2.17 | & ic(uri_owl_Class) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 10.10/2.17 | % 10.10/2.17 | GROUND_INST: instantiating (14) with uri_owl_Class, uri_rdfs_Class, all_13_1, % 10.10/2.17 | simplifying with (15), (16), (26) gives: % 10.10/2.17 | (32) all_13_1 = 0 | ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 10.10/2.17 | (icext(uri_rdfs_Class, v0) = v2 & icext(uri_owl_Class, v0) = v1 & % 10.10/2.17 | $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0)) & (v2 = 0 | v1 = 0)) | ? [v0: % 10.10/2.17 | any] : ? [v1: any] : (ic(uri_rdfs_Class) = v1 & ic(uri_owl_Class) = % 10.10/2.17 | v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 10.10/2.17 | % 10.10/2.17 | BETA: splitting (29) gives: % 10.10/2.17 | % 10.10/2.17 | Case 1: % 10.10/2.17 | | % 10.10/2.17 | | (33) all_13_4 = 0 % 10.10/2.17 | | % 10.10/2.17 | | BETA: splitting (28) gives: % 10.10/2.17 | | % 10.10/2.17 | | Case 1: % 10.10/2.17 | | | % 10.10/2.17 | | | (34) all_13_3 = 0 % 10.10/2.17 | | | % 10.10/2.17 | | | BETA: splitting (32) gives: % 10.10/2.17 | | | % 10.10/2.17 | | | Case 1: % 10.10/2.17 | | | | % 10.10/2.17 | | | | (35) all_13_1 = 0 % 10.10/2.17 | | | | % 10.10/2.17 | | | | REDUCE: (26), (35) imply: % 10.10/2.17 | | | | (36) iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) = 0 % 10.10/2.17 | | | | % 10.10/2.17 | | | | GROUND_INST: instantiating (13) with uri_owl_Class, uri_rdfs_Class, % 10.10/2.17 | | | | simplifying with (15), (16), (36) gives: % 10.10/2.17 | | | | (37) ic(uri_rdfs_Class) = 0 & ic(uri_owl_Class) = 0 & ! [v0: $i] : % 10.10/2.17 | | | | ! [v1: int] : (v1 = 0 | ~ (icext(uri_owl_Class, v0) = v1) | ~ % 10.10/2.17 | | | | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & icext(uri_rdfs_Class, % 10.10/2.17 | | | | v0) = v2)) & ! [v0: $i] : ( ~ (icext(uri_owl_Class, v0) = % 10.10/2.17 | | | | 0) | ~ $i(v0) | icext(uri_rdfs_Class, v0) = 0) % 10.10/2.17 | | | | % 10.10/2.17 | | | | BETA: splitting (30) gives: % 10.10/2.17 | | | | % 10.10/2.17 | | | | Case 1: % 10.10/2.17 | | | | | % 10.10/2.17 | | | | | (38) all_13_2 = 0 % 10.10/2.17 | | | | | % 10.10/2.17 | | | | | BETA: splitting (27) gives: % 10.10/2.17 | | | | | % 10.10/2.17 | | | | | Case 1: % 10.10/2.17 | | | | | | % 10.10/2.17 | | | | | | (39) ~ (all_13_0 = 0) % 10.10/2.17 | | | | | | % 10.10/2.17 | | | | | | BETA: splitting (31) gives: % 10.10/2.17 | | | | | | % 10.10/2.17 | | | | | | Case 1: % 10.10/2.17 | | | | | | | % 10.10/2.17 | | | | | | | (40) all_13_0 = 0 % 10.10/2.17 | | | | | | | % 10.10/2.17 | | | | | | | REDUCE: (39), (40) imply: % 10.10/2.17 | | | | | | | (41) $false % 10.10/2.17 | | | | | | | % 10.10/2.17 | | | | | | | CLOSE: (41) is inconsistent. % 10.10/2.17 | | | | | | | % 10.10/2.17 | | | | | | Case 2: % 10.10/2.17 | | | | | | | % 10.10/2.17 | | | | | | | (42) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 10.10/2.18 | | | | | | | icext(uri_rdfs_Datatype, v0) = 0 & icext(uri_owl_Class, % 10.10/2.18 | | | | | | | v0) = v1 & $i(v0)) | ? [v0: any] : ? [v1: any] : % 10.10/2.18 | | | | | | | (ic(uri_rdfs_Datatype) = v0 & ic(uri_owl_Class) = v1 & ( ~ % 10.10/2.18 | | | | | | | (v1 = 0) | ~ (v0 = 0))) % 10.10/2.18 | | | | | | | % 10.10/2.18 | | | | | | | BETA: splitting (42) gives: % 10.10/2.18 | | | | | | | % 10.10/2.18 | | | | | | | Case 1: % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | (43) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 10.10/2.18 | | | | | | | | icext(uri_rdfs_Datatype, v0) = 0 & % 10.10/2.18 | | | | | | | | icext(uri_owl_Class, v0) = v1 & $i(v0)) % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | DELTA: instantiating (43) with fresh symbols all_80_0, all_80_1 % 10.10/2.18 | | | | | | | | gives: % 10.10/2.18 | | | | | | | | (44) ~ (all_80_0 = 0) & icext(uri_rdfs_Datatype, all_80_1) = % 10.10/2.18 | | | | | | | | 0 & icext(uri_owl_Class, all_80_1) = all_80_0 & % 10.10/2.18 | | | | | | | | $i(all_80_1) % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | ALPHA: (44) implies: % 10.10/2.18 | | | | | | | | (45) ~ (all_80_0 = 0) % 10.10/2.18 | | | | | | | | (46) $i(all_80_1) % 10.10/2.18 | | | | | | | | (47) icext(uri_owl_Class, all_80_1) = all_80_0 % 10.10/2.18 | | | | | | | | (48) icext(uri_rdfs_Datatype, all_80_1) = 0 % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | GROUND_INST: instantiating (4) with all_80_1, all_80_0, % 10.10/2.18 | | | | | | | | simplifying with (46), (47) gives: % 10.10/2.18 | | | | | | | | (49) all_80_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & % 10.10/2.18 | | | | | | | | ic(all_80_1) = v0) % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | GROUND_INST: instantiating (9) with all_80_1, simplifying with % 10.10/2.18 | | | | | | | | (46), (48) gives: % 10.10/2.18 | | | | | | | | (50) idc(all_80_1) = 0 % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | BETA: splitting (49) gives: % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | Case 1: % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | (51) all_80_0 = 0 % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | REDUCE: (45), (51) imply: % 10.10/2.18 | | | | | | | | | (52) $false % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | CLOSE: (52) is inconsistent. % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | Case 2: % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | (53) ? [v0: int] : ( ~ (v0 = 0) & ic(all_80_1) = v0) % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | DELTA: instantiating (53) with fresh symbol all_98_0 gives: % 10.10/2.18 | | | | | | | | | (54) ~ (all_98_0 = 0) & ic(all_80_1) = all_98_0 % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | ALPHA: (54) implies: % 10.10/2.18 | | | | | | | | | (55) ~ (all_98_0 = 0) % 10.10/2.18 | | | | | | | | | (56) ic(all_80_1) = all_98_0 % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | GROUND_INST: instantiating (owl_parts_idc_cond_set) with % 10.10/2.18 | | | | | | | | | all_80_1, simplifying with (46), (50) gives: % 10.10/2.18 | | | | | | | | | (57) ic(all_80_1) = 0 % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | GROUND_INST: instantiating (20) with all_98_0, 0, all_80_1, % 10.10/2.18 | | | | | | | | | simplifying with (56), (57) gives: % 10.10/2.18 | | | | | | | | | (58) all_98_0 = 0 % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | REDUCE: (55), (58) imply: % 10.10/2.18 | | | | | | | | | (59) $false % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | | CLOSE: (59) is inconsistent. % 10.10/2.18 | | | | | | | | | % 10.10/2.18 | | | | | | | | End of split % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | Case 2: % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | (60) ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Datatype) = % 10.10/2.18 | | | | | | | | v0 & ic(uri_owl_Class) = v1 & ( ~ (v1 = 0) | ~ (v0 = % 10.10/2.18 | | | | | | | | 0))) % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | DELTA: instantiating (60) with fresh symbols all_80_0, all_80_1 % 10.10/2.18 | | | | | | | | gives: % 10.10/2.18 | | | | | | | | (61) ic(uri_rdfs_Datatype) = all_80_1 & ic(uri_owl_Class) = % 10.10/2.18 | | | | | | | | all_80_0 & ( ~ (all_80_0 = 0) | ~ (all_80_1 = 0)) % 10.10/2.18 | | | | | | | | % 10.10/2.18 | | | | | | | | ALPHA: (61) implies: % 10.10/2.18 | | | | | | | | (62) ic(uri_owl_Class) = all_80_0 % 10.10/2.19 | | | | | | | | (63) ic(uri_rdfs_Datatype) = all_80_1 % 10.10/2.19 | | | | | | | | (64) ~ (all_80_0 = 0) | ~ (all_80_1 = 0) % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | GROUND_INST: instantiating (20) with 0, all_80_0, uri_owl_Class, % 10.10/2.19 | | | | | | | | simplifying with (2), (62) gives: % 10.10/2.19 | | | | | | | | (65) all_80_0 = 0 % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | GROUND_INST: instantiating (20) with 0, all_80_1, % 10.10/2.19 | | | | | | | | uri_rdfs_Datatype, simplifying with (8), (63) % 10.10/2.19 | | | | | | | | gives: % 10.10/2.19 | | | | | | | | (66) all_80_1 = 0 % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | BETA: splitting (64) gives: % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | Case 1: % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | (67) ~ (all_80_0 = 0) % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | REDUCE: (65), (67) imply: % 10.10/2.19 | | | | | | | | | (68) $false % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | CLOSE: (68) is inconsistent. % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | Case 2: % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | (69) ~ (all_80_1 = 0) % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | REDUCE: (66), (69) imply: % 10.10/2.19 | | | | | | | | | (70) $false % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | CLOSE: (70) is inconsistent. % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | End of split % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | End of split % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | End of split % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | Case 2: % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | (71) ~ (all_13_1 = 0) | ~ (all_13_2 = 0) | ~ (all_13_3 = 0) | % 10.10/2.19 | | | | | | ~ (all_13_4 = 0) % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | BETA: splitting (71) gives: % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | Case 1: % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | | (72) ~ (all_13_1 = 0) % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | | REDUCE: (35), (72) imply: % 10.10/2.19 | | | | | | | (73) $false % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | | CLOSE: (73) is inconsistent. % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | Case 2: % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | | (74) ~ (all_13_2 = 0) | ~ (all_13_3 = 0) | ~ (all_13_4 = 0) % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | | BETA: splitting (74) gives: % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | | Case 1: % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | (75) ~ (all_13_2 = 0) % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | REDUCE: (38), (75) imply: % 10.10/2.19 | | | | | | | | (76) $false % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | CLOSE: (76) is inconsistent. % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | Case 2: % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | (77) ~ (all_13_3 = 0) | ~ (all_13_4 = 0) % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | BETA: splitting (77) gives: % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | | Case 1: % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | (78) ~ (all_13_3 = 0) % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | REDUCE: (34), (78) imply: % 10.10/2.19 | | | | | | | | | (79) $false % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | CLOSE: (79) is inconsistent. % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | Case 2: % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | (80) ~ (all_13_4 = 0) % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | REDUCE: (33), (80) imply: % 10.10/2.19 | | | | | | | | | (81) $false % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | | CLOSE: (81) is inconsistent. % 10.10/2.19 | | | | | | | | | % 10.10/2.19 | | | | | | | | End of split % 10.10/2.19 | | | | | | | | % 10.10/2.19 | | | | | | | End of split % 10.10/2.19 | | | | | | | % 10.10/2.19 | | | | | | End of split % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | End of split % 10.10/2.19 | | | | | % 10.10/2.19 | | | | Case 2: % 10.10/2.19 | | | | | % 10.10/2.19 | | | | | (82) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 10.10/2.19 | | | | | icext(uri_owl_Thing, v0) = v1 & icext(uri_owl_Class, v0) = 0 % 10.10/2.19 | | | | | & $i(v0)) | ? [v0: any] : ? [v1: any] : (ic(uri_owl_Thing) % 10.10/2.19 | | | | | = v1 & ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 10.10/2.19 | | | | | % 10.10/2.19 | | | | | BETA: splitting (82) gives: % 10.10/2.19 | | | | | % 10.10/2.19 | | | | | Case 1: % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | (83) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & % 10.10/2.19 | | | | | | icext(uri_owl_Thing, v0) = v1 & icext(uri_owl_Class, v0) = % 10.10/2.19 | | | | | | 0 & $i(v0)) % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | DELTA: instantiating (83) with fresh symbols all_83_0, all_83_1 % 10.10/2.19 | | | | | | gives: % 10.10/2.19 | | | | | | (84) ~ (all_83_0 = 0) & icext(uri_owl_Thing, all_83_1) = % 10.10/2.19 | | | | | | all_83_0 & icext(uri_owl_Class, all_83_1) = 0 & $i(all_83_1) % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | ALPHA: (84) implies: % 10.10/2.19 | | | | | | (85) ~ (all_83_0 = 0) % 10.10/2.19 | | | | | | (86) $i(all_83_1) % 10.10/2.19 | | | | | | (87) icext(uri_owl_Thing, all_83_1) = all_83_0 % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | GROUND_INST: instantiating (11) with all_83_1, all_83_0, simplifying % 10.10/2.19 | | | | | | with (86), (87) gives: % 10.10/2.19 | | | | | | (88) all_83_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ir(all_83_1) = % 10.10/2.19 | | | | | | v0) % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | BETA: splitting (88) gives: % 10.10/2.19 | | | | | | % 10.10/2.19 | | | | | | Case 1: % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | (89) all_83_0 = 0 % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | REDUCE: (85), (89) imply: % 10.10/2.20 | | | | | | | (90) $false % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | CLOSE: (90) is inconsistent. % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | Case 2: % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | (91) ? [v0: int] : ( ~ (v0 = 0) & ir(all_83_1) = v0) % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | DELTA: instantiating (91) with fresh symbol all_95_0 gives: % 10.10/2.20 | | | | | | | (92) ~ (all_95_0 = 0) & ir(all_83_1) = all_95_0 % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | ALPHA: (92) implies: % 10.10/2.20 | | | | | | | (93) ~ (all_95_0 = 0) % 10.10/2.20 | | | | | | | (94) ir(all_83_1) = all_95_0 % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | GROUND_INST: instantiating (simple_ir) with all_83_1, all_95_0, % 10.10/2.20 | | | | | | | simplifying with (86), (94) gives: % 10.10/2.20 | | | | | | | (95) all_95_0 = 0 % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | REDUCE: (93), (95) imply: % 10.10/2.20 | | | | | | | (96) $false % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | | CLOSE: (96) is inconsistent. % 10.10/2.20 | | | | | | | % 10.10/2.20 | | | | | | End of split % 10.10/2.20 | | | | | | % 10.10/2.20 | | | | | Case 2: % 10.10/2.20 | | | | | | % 10.10/2.20 | | | | | | (97) ? [v0: any] : ? [v1: any] : (ic(uri_owl_Thing) = v1 & % 10.10/2.20 | | | | | | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 10.10/2.20 | | | | | | % 10.10/2.20 | | | | | | DELTA: instantiating (97) with fresh symbols all_83_0, all_83_1 % 10.10/2.20 | | | | | | gives: % 10.10/2.20 | | | | | | (98) ic(uri_owl_Thing) = all_83_0 & ic(uri_owl_Class) = all_83_1 % 10.10/2.20 | | | | | | & ( ~ (all_83_0 = 0) | ~ (all_83_1 = 0)) % 10.10/2.20 | | | | | | % 10.10/2.20 | | | | | | ALPHA: (98) implies: % 10.10/2.20 | | | | | | (99) ic(uri_owl_Class) = all_83_1 % 10.10/2.20 | | | | | | (100) ic(uri_owl_Thing) = all_83_0 % 10.10/2.20 | | | | | | (101) ~ (all_83_0 = 0) | ~ (all_83_1 = 0) % 10.10/2.20 | | | | | | % 10.10/2.20 | | | | | | GROUND_INST: instantiating (20) with 0, all_83_1, uri_owl_Class, % 10.10/2.20 | | | | | | simplifying with (2), (99) gives: % 10.10/2.20 | | | | | | (102) all_83_1 = 0 % 10.10/2.20 | | | | | | % 10.37/2.20 | | | | | | GROUND_INST: instantiating (20) with 0, all_83_0, uri_owl_Thing, % 10.37/2.20 | | | | | | simplifying with (10), (100) gives: % 10.37/2.20 | | | | | | (103) all_83_0 = 0 % 10.37/2.20 | | | | | | % 10.37/2.20 | | | | | | BETA: splitting (101) gives: % 10.37/2.20 | | | | | | % 10.37/2.20 | | | | | | Case 1: % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | | (104) ~ (all_83_0 = 0) % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | | REDUCE: (103), (104) imply: % 10.37/2.20 | | | | | | | (105) $false % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | | CLOSE: (105) is inconsistent. % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | Case 2: % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | | (106) ~ (all_83_1 = 0) % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | | REDUCE: (102), (106) imply: % 10.37/2.20 | | | | | | | (107) $false % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | | CLOSE: (107) is inconsistent. % 10.37/2.20 | | | | | | | % 10.37/2.20 | | | | | | End of split % 10.37/2.20 | | | | | | % 10.37/2.20 | | | | | End of split % 10.37/2.20 | | | | | % 10.37/2.20 | | | | End of split % 10.37/2.20 | | | | % 10.37/2.20 | | | Case 2: % 10.37/2.20 | | | | % 10.37/2.20 | | | | (108) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 10.37/2.20 | | | | (icext(uri_rdfs_Class, v0) = v2 & icext(uri_owl_Class, v0) = v1 % 10.37/2.20 | | | | & $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0)) & (v2 = 0 | v1 = 0)) | % 10.37/2.20 | | | | ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Class) = v1 & % 10.37/2.20 | | | | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 10.37/2.20 | | | | % 10.37/2.20 | | | | BETA: splitting (108) gives: % 10.37/2.20 | | | | % 10.37/2.20 | | | | Case 1: % 10.37/2.20 | | | | | % 10.37/2.20 | | | | | (109) ? [v0: $i] : ? [v1: any] : ? [v2: any] : % 10.37/2.20 | | | | | (icext(uri_rdfs_Class, v0) = v2 & icext(uri_owl_Class, v0) = % 10.37/2.20 | | | | | v1 & $i(v0) & ( ~ (v2 = 0) | ~ (v1 = 0)) & (v2 = 0 | v1 = % 10.37/2.20 | | | | | 0)) % 10.37/2.20 | | | | | % 10.37/2.20 | | | | | DELTA: instantiating (109) with fresh symbols all_57_0, all_57_1, % 10.37/2.21 | | | | | all_57_2 gives: % 10.37/2.21 | | | | | (110) icext(uri_rdfs_Class, all_57_2) = all_57_0 & % 10.37/2.21 | | | | | icext(uri_owl_Class, all_57_2) = all_57_1 & $i(all_57_2) & ( % 10.37/2.21 | | | | | ~ (all_57_0 = 0) | ~ (all_57_1 = 0)) & (all_57_0 = 0 | % 10.37/2.21 | | | | | all_57_1 = 0) % 10.37/2.21 | | | | | % 10.37/2.21 | | | | | ALPHA: (110) implies: % 10.37/2.21 | | | | | (111) $i(all_57_2) % 10.37/2.21 | | | | | (112) icext(uri_owl_Class, all_57_2) = all_57_1 % 10.37/2.21 | | | | | (113) icext(uri_rdfs_Class, all_57_2) = all_57_0 % 10.37/2.21 | | | | | (114) all_57_0 = 0 | all_57_1 = 0 % 10.37/2.21 | | | | | (115) ~ (all_57_0 = 0) | ~ (all_57_1 = 0) % 10.37/2.21 | | | | | % 10.37/2.21 | | | | | GROUND_INST: instantiating (4) with all_57_2, all_57_1, simplifying % 10.37/2.21 | | | | | with (111), (112) gives: % 10.37/2.21 | | | | | (116) all_57_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) = % 10.37/2.21 | | | | | v0) % 10.37/2.21 | | | | | % 10.37/2.21 | | | | | GROUND_INST: instantiating (7) with all_57_2, all_57_0, simplifying % 10.37/2.21 | | | | | with (111), (113) gives: % 10.37/2.21 | | | | | (117) all_57_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) = % 10.37/2.21 | | | | | v0) % 10.37/2.21 | | | | | % 10.37/2.21 | | | | | BETA: splitting (114) gives: % 10.37/2.21 | | | | | % 10.37/2.21 | | | | | Case 1: % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | (118) all_57_0 = 0 % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | REDUCE: (113), (118) imply: % 10.37/2.21 | | | | | | (119) icext(uri_rdfs_Class, all_57_2) = 0 % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | BETA: splitting (115) gives: % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | Case 1: % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | (120) ~ (all_57_0 = 0) % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | REDUCE: (118), (120) imply: % 10.37/2.21 | | | | | | | (121) $false % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | CLOSE: (121) is inconsistent. % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | Case 2: % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | (122) ~ (all_57_1 = 0) % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | BETA: splitting (116) gives: % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | Case 1: % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | (123) all_57_1 = 0 % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | REDUCE: (122), (123) imply: % 10.37/2.21 | | | | | | | | (124) $false % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | CLOSE: (124) is inconsistent. % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | Case 2: % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | (125) ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) = v0) % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | DELTA: instantiating (125) with fresh symbol all_102_0 gives: % 10.37/2.21 | | | | | | | | (126) ~ (all_102_0 = 0) & ic(all_57_2) = all_102_0 % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | ALPHA: (126) implies: % 10.37/2.21 | | | | | | | | (127) ~ (all_102_0 = 0) % 10.37/2.21 | | | | | | | | (128) ic(all_57_2) = all_102_0 % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | GROUND_INST: instantiating (6) with all_57_2, simplifying with % 10.37/2.21 | | | | | | | | (111), (119) gives: % 10.37/2.21 | | | | | | | | (129) ic(all_57_2) = 0 % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | GROUND_INST: instantiating (20) with all_102_0, 0, all_57_2, % 10.37/2.21 | | | | | | | | simplifying with (128), (129) gives: % 10.37/2.21 | | | | | | | | (130) all_102_0 = 0 % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | REDUCE: (127), (130) imply: % 10.37/2.21 | | | | | | | | (131) $false % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | | CLOSE: (131) is inconsistent. % 10.37/2.21 | | | | | | | | % 10.37/2.21 | | | | | | | End of split % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | End of split % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | Case 2: % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | (132) all_57_1 = 0 % 10.37/2.21 | | | | | | (133) ~ (all_57_0 = 0) % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | REDUCE: (112), (132) imply: % 10.37/2.21 | | | | | | (134) icext(uri_owl_Class, all_57_2) = 0 % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | BETA: splitting (117) gives: % 10.37/2.21 | | | | | | % 10.37/2.21 | | | | | | Case 1: % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | (135) all_57_0 = 0 % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | REDUCE: (133), (135) imply: % 10.37/2.21 | | | | | | | (136) $false % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | CLOSE: (136) is inconsistent. % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | Case 2: % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | (137) ? [v0: int] : ( ~ (v0 = 0) & ic(all_57_2) = v0) % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | DELTA: instantiating (137) with fresh symbol all_98_0 gives: % 10.37/2.21 | | | | | | | (138) ~ (all_98_0 = 0) & ic(all_57_2) = all_98_0 % 10.37/2.21 | | | | | | | % 10.37/2.21 | | | | | | | ALPHA: (138) implies: % 10.37/2.22 | | | | | | | (139) ~ (all_98_0 = 0) % 10.37/2.22 | | | | | | | (140) ic(all_57_2) = all_98_0 % 10.37/2.22 | | | | | | | % 10.37/2.22 | | | | | | | GROUND_INST: instantiating (3) with all_57_2, simplifying with % 10.37/2.22 | | | | | | | (111), (134) gives: % 10.37/2.22 | | | | | | | (141) ic(all_57_2) = 0 % 10.37/2.22 | | | | | | | % 10.37/2.22 | | | | | | | GROUND_INST: instantiating (20) with all_98_0, 0, all_57_2, % 10.37/2.22 | | | | | | | simplifying with (140), (141) gives: % 10.37/2.22 | | | | | | | (142) all_98_0 = 0 % 10.37/2.22 | | | | | | | % 10.37/2.22 | | | | | | | REDUCE: (139), (142) imply: % 10.37/2.22 | | | | | | | (143) $false % 10.37/2.22 | | | | | | | % 10.37/2.22 | | | | | | | CLOSE: (143) is inconsistent. % 10.37/2.22 | | | | | | | % 10.37/2.22 | | | | | | End of split % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | End of split % 10.37/2.22 | | | | | % 10.37/2.22 | | | | Case 2: % 10.37/2.22 | | | | | % 10.37/2.22 | | | | | (144) ? [v0: any] : ? [v1: any] : (ic(uri_rdfs_Class) = v1 & % 10.37/2.22 | | | | | ic(uri_owl_Class) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 10.37/2.22 | | | | | % 10.37/2.22 | | | | | DELTA: instantiating (144) with fresh symbols all_57_0, all_57_1 % 10.37/2.22 | | | | | gives: % 10.37/2.22 | | | | | (145) ic(uri_rdfs_Class) = all_57_0 & ic(uri_owl_Class) = all_57_1 % 10.37/2.22 | | | | | & ( ~ (all_57_0 = 0) | ~ (all_57_1 = 0)) % 10.37/2.22 | | | | | % 10.37/2.22 | | | | | ALPHA: (145) implies: % 10.37/2.22 | | | | | (146) ic(uri_owl_Class) = all_57_1 % 10.37/2.22 | | | | | (147) ic(uri_rdfs_Class) = all_57_0 % 10.37/2.22 | | | | | (148) ~ (all_57_0 = 0) | ~ (all_57_1 = 0) % 10.37/2.22 | | | | | % 10.37/2.22 | | | | | GROUND_INST: instantiating (20) with 0, all_57_1, uri_owl_Class, % 10.37/2.22 | | | | | simplifying with (2), (146) gives: % 10.37/2.22 | | | | | (149) all_57_1 = 0 % 10.37/2.22 | | | | | % 10.37/2.22 | | | | | GROUND_INST: instantiating (20) with 0, all_57_0, uri_rdfs_Class, % 10.37/2.22 | | | | | simplifying with (5), (147) gives: % 10.37/2.22 | | | | | (150) all_57_0 = 0 % 10.37/2.22 | | | | | % 10.37/2.22 | | | | | BETA: splitting (148) gives: % 10.37/2.22 | | | | | % 10.37/2.22 | | | | | Case 1: % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | | (151) ~ (all_57_0 = 0) % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | | REDUCE: (150), (151) imply: % 10.37/2.22 | | | | | | (152) $false % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | | CLOSE: (152) is inconsistent. % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | Case 2: % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | | (153) ~ (all_57_1 = 0) % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | | REDUCE: (149), (153) imply: % 10.37/2.22 | | | | | | (154) $false % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | | CLOSE: (154) is inconsistent. % 10.37/2.22 | | | | | | % 10.37/2.22 | | | | | End of split % 10.37/2.22 | | | | | % 10.37/2.22 | | | | End of split % 10.37/2.22 | | | | % 10.37/2.22 | | | End of split % 10.37/2.22 | | | % 10.37/2.22 | | Case 2: % 10.37/2.22 | | | % 10.37/2.22 | | | (155) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Class, uri_owl_Class) % 10.37/2.22 | | | = v0) % 10.37/2.22 | | | % 10.37/2.22 | | | DELTA: instantiating (155) with fresh symbol all_41_0 gives: % 10.37/2.22 | | | (156) ~ (all_41_0 = 0) & icext(uri_owl_Class, uri_owl_Class) = % 10.37/2.22 | | | all_41_0 % 10.37/2.22 | | | % 10.37/2.22 | | | ALPHA: (156) implies: % 10.37/2.22 | | | (157) ~ (all_41_0 = 0) % 10.37/2.22 | | | (158) icext(uri_owl_Class, uri_owl_Class) = all_41_0 % 10.37/2.22 | | | % 10.37/2.22 | | | GROUND_INST: instantiating (4) with uri_owl_Class, all_41_0, simplifying % 10.37/2.22 | | | with (15), (158) gives: % 10.37/2.22 | | | (159) all_41_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ic(uri_owl_Class) = % 10.37/2.22 | | | v0) % 10.37/2.22 | | | % 10.37/2.22 | | | BETA: splitting (159) gives: % 10.37/2.22 | | | % 10.37/2.22 | | | Case 1: % 10.37/2.22 | | | | % 10.37/2.22 | | | | (160) all_41_0 = 0 % 10.37/2.22 | | | | % 10.37/2.22 | | | | REDUCE: (157), (160) imply: % 10.37/2.22 | | | | (161) $false % 10.37/2.22 | | | | % 10.37/2.22 | | | | CLOSE: (161) is inconsistent. % 10.37/2.22 | | | | % 10.37/2.22 | | | Case 2: % 10.37/2.22 | | | | % 10.37/2.22 | | | | (162) ? [v0: int] : ( ~ (v0 = 0) & ic(uri_owl_Class) = v0) % 10.37/2.22 | | | | % 10.37/2.22 | | | | DELTA: instantiating (162) with fresh symbol all_54_0 gives: % 10.37/2.22 | | | | (163) ~ (all_54_0 = 0) & ic(uri_owl_Class) = all_54_0 % 10.37/2.22 | | | | % 10.37/2.22 | | | | ALPHA: (163) implies: % 10.37/2.23 | | | | (164) ~ (all_54_0 = 0) % 10.37/2.23 | | | | (165) ic(uri_owl_Class) = all_54_0 % 10.37/2.23 | | | | % 10.37/2.23 | | | | GROUND_INST: instantiating (20) with 0, all_54_0, uri_owl_Class, % 10.37/2.23 | | | | simplifying with (2), (165) gives: % 10.37/2.23 | | | | (166) all_54_0 = 0 % 10.37/2.23 | | | | % 10.37/2.23 | | | | REDUCE: (164), (166) imply: % 10.37/2.23 | | | | (167) $false % 10.37/2.23 | | | | % 10.37/2.23 | | | | CLOSE: (167) is inconsistent. % 10.37/2.23 | | | | % 10.37/2.23 | | | End of split % 10.37/2.23 | | | % 10.37/2.23 | | End of split % 10.37/2.23 | | % 10.37/2.23 | Case 2: % 10.37/2.23 | | % 10.37/2.23 | | (168) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_owl_Thing, uri_owl_Class) = % 10.37/2.23 | | v0) % 10.37/2.23 | | % 10.37/2.23 | | DELTA: instantiating (168) with fresh symbol all_22_0 gives: % 10.37/2.23 | | (169) ~ (all_22_0 = 0) & icext(uri_owl_Thing, uri_owl_Class) = all_22_0 % 10.37/2.23 | | % 10.37/2.23 | | ALPHA: (169) implies: % 10.37/2.23 | | (170) ~ (all_22_0 = 0) % 10.37/2.23 | | (171) icext(uri_owl_Thing, uri_owl_Class) = all_22_0 % 10.37/2.23 | | % 10.37/2.23 | | GROUND_INST: instantiating (11) with uri_owl_Class, all_22_0, simplifying % 10.37/2.23 | | with (15), (171) gives: % 10.37/2.23 | | (172) all_22_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & ir(uri_owl_Class) = % 10.37/2.23 | | v0) % 10.37/2.23 | | % 10.37/2.23 | | BETA: splitting (172) gives: % 10.37/2.23 | | % 10.37/2.23 | | Case 1: % 10.37/2.23 | | | % 10.37/2.23 | | | (173) all_22_0 = 0 % 10.37/2.23 | | | % 10.37/2.23 | | | REDUCE: (170), (173) imply: % 10.37/2.23 | | | (174) $false % 10.37/2.23 | | | % 10.37/2.23 | | | CLOSE: (174) is inconsistent. % 10.37/2.23 | | | % 10.37/2.23 | | Case 2: % 10.37/2.23 | | | % 10.37/2.23 | | | (175) ? [v0: int] : ( ~ (v0 = 0) & ir(uri_owl_Class) = v0) % 10.37/2.23 | | | % 10.37/2.23 | | | DELTA: instantiating (175) with fresh symbol all_35_0 gives: % 10.37/2.23 | | | (176) ~ (all_35_0 = 0) & ir(uri_owl_Class) = all_35_0 % 10.37/2.23 | | | % 10.37/2.23 | | | ALPHA: (176) implies: % 10.37/2.23 | | | (177) ~ (all_35_0 = 0) % 10.37/2.23 | | | (178) ir(uri_owl_Class) = all_35_0 % 10.37/2.23 | | | % 10.37/2.23 | | | GROUND_INST: instantiating (simple_ir) with uri_owl_Class, all_35_0, % 10.37/2.23 | | | simplifying with (15), (178) gives: % 10.37/2.23 | | | (179) all_35_0 = 0 % 10.37/2.23 | | | % 10.37/2.23 | | | REDUCE: (177), (179) imply: % 10.37/2.23 | | | (180) $false % 10.37/2.23 | | | % 10.37/2.23 | | | CLOSE: (180) is inconsistent. % 10.37/2.23 | | | % 10.37/2.23 | | End of split % 10.37/2.23 | | % 10.37/2.23 | End of split % 10.37/2.23 | % 10.37/2.23 End of proof % 10.37/2.23 % SZS output end Proof for theBenchmark % 10.37/2.23 % 10.37/2.23 1638ms %------------------------------------------------------------------------------