%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB009+3 : TPTP v8.1.2. Released v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n029.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 20:11:38 EDT 2023 % Result : Theorem 36.99s 5.64s % Output : Proof 47.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB009+3 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Sun Aug 27 07:49:11 EDT 2023 % 0.19/0.34 % CPUTime : % 0.19/0.59 ________ _____ % 0.19/0.59 ___ __ \_________(_)________________________________ % 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.59 Amanda Stjerna. % 0.19/0.59 Free software under BSD-3-Clause. % 0.19/0.59 % 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.60 Running up to 7 provers in parallel. % 0.19/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.23/1.38 Prover 4: Preprocessing ... % 4.23/1.38 Prover 1: Preprocessing ... % 4.23/1.41 Prover 6: Preprocessing ... % 4.23/1.41 Prover 0: Preprocessing ... % 4.23/1.41 Prover 5: Preprocessing ... % 4.23/1.41 Prover 2: Preprocessing ... % 4.23/1.41 Prover 3: Preprocessing ... % 10.35/2.15 Prover 5: Proving ... % 10.72/2.20 Prover 2: Proving ... % 12.59/2.43 Prover 3: Constructing countermodel ... % 12.59/2.46 Prover 6: Proving ... % 12.97/2.47 Prover 1: Constructing countermodel ... % 23.25/3.85 Prover 4: Constructing countermodel ... % 27.43/4.44 Prover 0: Proving ... % 36.99/5.63 Prover 3: proved (5022ms) % 36.99/5.63 % 36.99/5.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 36.99/5.64 % 36.99/5.64 Prover 6: stopped % 36.99/5.66 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 36.99/5.66 Prover 5: stopped % 36.99/5.67 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 36.99/5.67 Prover 2: stopped % 37.30/5.68 Prover 0: stopped % 37.30/5.68 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 37.30/5.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 37.30/5.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 37.96/5.79 Prover 7: Preprocessing ... % 38.37/5.82 Prover 8: Preprocessing ... % 38.59/5.85 Prover 13: Preprocessing ... % 38.59/5.87 Prover 11: Preprocessing ... % 38.59/5.87 Prover 10: Preprocessing ... % 38.59/5.93 Prover 7: Warning: ignoring some quantifiers % 38.59/5.97 Prover 10: Warning: ignoring some quantifiers % 38.59/5.98 Prover 7: Constructing countermodel ... % 38.59/6.00 Prover 10: Constructing countermodel ... % 38.59/6.01 Prover 13: Warning: ignoring some quantifiers % 38.59/6.02 Prover 13: Constructing countermodel ... % 40.64/6.13 Prover 8: Warning: ignoring some quantifiers % 40.64/6.15 Prover 8: Constructing countermodel ... % 43.53/6.51 Prover 1: Found proof (size 27) % 43.53/6.51 Prover 1: proved (5900ms) % 43.53/6.51 Prover 13: stopped % 43.53/6.51 Prover 7: stopped % 43.53/6.51 Prover 4: stopped % 43.53/6.51 Prover 10: stopped % 43.53/6.51 Prover 8: stopped % 46.41/7.25 Prover 11: Constructing countermodel ... % 46.66/7.28 Prover 11: stopped % 46.66/7.28 % 46.66/7.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 46.66/7.28 % 46.66/7.29 % SZS output start Proof for theBenchmark % 46.66/7.30 Assumptions after simplification: % 46.66/7.30 --------------------------------- % 46.66/7.30 % 46.66/7.30 (owl_restrict_somevaluesfrom) % 46.66/7.34 $i(uri_owl_someValuesFrom) & $i(uri_owl_onProperty) & ! [v0: $i] : ! [v1: % 46.66/7.35 $i] : ! [v2: $i] : ( ~ (iext(uri_owl_someValuesFrom, v0, v2) = 0) | ~ % 46.66/7.35 (iext(uri_owl_onProperty, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 46.66/7.35 ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (icext(v0, v3) = v4) | ~ $i(v3) % 46.66/7.35 | ! [v5: $i] : ( ~ (icext(v2, v5) = 0) | ~ $i(v5) | ? [v6: int] : ( ~ % 46.66/7.35 (v6 = 0) & iext(v1, v3, v5) = v6))) & ! [v3: $i] : ( ~ (icext(v0, % 46.66/7.35 v3) = 0) | ~ $i(v3) | ? [v4: $i] : (iext(v1, v3, v4) = 0 & % 46.66/7.35 icext(v2, v4) = 0 & $i(v4))))) % 46.66/7.35 % 46.66/7.35 (rdfs_cext_def) % 46.66/7.35 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 46.66/7.35 (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( % 46.66/7.35 ~ (v3 = 0) & icext(v1, v0) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 46.66/7.35 (iext(uri_rdf_type, v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | icext(v1, v0) = % 46.66/7.35 0) % 46.66/7.35 % 46.66/7.35 (testcase_conclusion_fullish_009_Existential_Restriction_Entailments) % 46.66/7.35 $i(uri_ex_c) & $i(uri_ex_s) & $i(uri_ex_p) & $i(uri_rdf_type) & ! [v0: $i] : % 46.66/7.35 ( ~ (iext(uri_ex_p, uri_ex_s, v0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = % 46.66/7.35 0) & iext(uri_rdf_type, v0, uri_ex_c) = v1)) % 46.66/7.35 % 46.66/7.35 (testcase_premise_fullish_009_Existential_Restriction_Entailments) % 46.66/7.36 $i(uri_owl_Class) & $i(uri_owl_ObjectProperty) & $i(uri_ex_c) & $i(uri_ex_s) & % 46.66/7.36 $i(uri_ex_p) & $i(uri_owl_someValuesFrom) & $i(uri_owl_onProperty) & % 46.66/7.36 $i(uri_owl_Restriction) & $i(uri_rdf_type) & ? [v0: any] : ? [v1: any] : % 46.66/7.36 (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) = v1 & iext(uri_rdf_type, % 46.66/7.36 uri_ex_p, uri_owl_ObjectProperty) = v0 & ? [v2: $i] : (v1 = 0 & v0 = 0 & % 46.66/7.36 iext(uri_owl_someValuesFrom, v2, uri_ex_c) = 0 & iext(uri_owl_onProperty, % 46.66/7.36 v2, uri_ex_p) = 0 & iext(uri_rdf_type, v2, uri_owl_Restriction) = 0 & % 46.66/7.36 iext(uri_rdf_type, uri_ex_s, v2) = 0 & $i(v2))) % 46.66/7.36 % 46.66/7.36 (function-axioms) % 46.66/7.37 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 46.66/7.37 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (iext(v4, v3, v2) = v1) | ~ (iext(v4, % 46.66/7.37 v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] % 46.66/7.37 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ % 46.66/7.37 (icext(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 46.66/7.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ioxp(v2) = v1) | ~ % 46.66/7.37 (ioxp(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 46.66/7.37 ! [v2: $i] : (v1 = v0 | ~ (ix(v2) = v1) | ~ (ix(v2) = v0)) & ! [v0: % 46.66/7.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 46.66/7.37 ~ (iodp(v2) = v1) | ~ (iodp(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 46.66/7.37 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (ip(v2) = v1) | ~ % 46.66/7.37 (ip(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 46.66/7.37 ! [v2: $i] : (v1 = v0 | ~ (ioap(v2) = v1) | ~ (ioap(v2) = v0)) & ! [v0: % 46.66/7.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 46.66/7.37 ~ (idc(v2) = v1) | ~ (idc(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 46.66/7.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (lv(v2) = v1) | ~ (lv(v2) % 46.66/7.37 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 46.66/7.37 $i] : (v1 = v0 | ~ (ir(v2) = v1) | ~ (ir(v2) = v0)) & ! [v0: % 46.66/7.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 46.66/7.37 ~ (ic(v2) = v1) | ~ (ic(v2) = v0)) % 46.66/7.37 % 46.66/7.37 Further assumptions not needed in the proof: % 46.66/7.37 -------------------------------------------- % 46.66/7.37 owl_bool_complementof_class, owl_bool_intersectionof_class_000, % 46.66/7.37 owl_bool_intersectionof_class_001, owl_bool_intersectionof_class_002, % 46.66/7.37 owl_bool_intersectionof_class_003, owl_bool_unionof_class_000, % 46.66/7.37 owl_bool_unionof_class_001, owl_bool_unionof_class_002, % 46.66/7.37 owl_bool_unionof_class_003, owl_class_nothing_ext, owl_class_nothing_type, % 46.66/7.37 owl_class_thing_ext, owl_class_thing_type, owl_parts_ic_cond_inst, % 46.66/7.37 owl_parts_ic_cond_set, owl_parts_ic_def, owl_parts_idc_cond_inst, % 46.66/7.37 owl_parts_idc_cond_set, owl_parts_idc_def, owl_parts_ioap_cond_inst, % 46.66/7.37 owl_parts_ioap_cond_set, owl_parts_ioap_def, owl_parts_iodp_cond_inst, % 46.66/7.37 owl_parts_iodp_cond_set, owl_parts_iodp_def, owl_parts_ioxp_cond_inst, % 46.66/7.37 owl_parts_ioxp_cond_set, owl_parts_ioxp_def, owl_parts_ip_cond_inst, % 46.66/7.37 owl_parts_ip_cond_set, owl_parts_ip_def, owl_parts_ir_cond_set, % 46.66/7.37 owl_parts_ir_def, owl_parts_ix_cond_set, owl_parts_ix_def, % 46.66/7.37 owl_parts_lv_cond_set, owl_parts_lv_def, owl_prop_allvaluesfrom_ext, % 46.66/7.37 owl_prop_allvaluesfrom_type, owl_prop_complementof_ext, % 46.66/7.37 owl_prop_complementof_type, owl_prop_hasvalue_ext, owl_prop_hasvalue_type, % 46.66/7.37 owl_prop_intersectionof_ext, owl_prop_intersectionof_type, % 46.66/7.37 owl_prop_onproperty_ext, owl_prop_onproperty_type, owl_prop_somevaluesfrom_ext, % 46.66/7.37 owl_prop_somevaluesfrom_type, owl_prop_unionof_ext, owl_prop_unionof_type, % 46.66/7.37 owl_rdfsext_domain, owl_rdfsext_range, owl_rdfsext_subclassof, % 46.66/7.37 owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom, owl_restrict_hasvalue, % 46.66/7.37 rdf_collection_first_type, rdf_collection_nil_type, rdf_collection_rest_type, % 46.66/7.37 rdf_container_n_type_001, rdf_container_n_type_002, rdf_container_n_type_003, % 46.66/7.37 rdf_reification_object_type, rdf_reification_predicate_type, % 46.66/7.37 rdf_reification_subject_type, rdf_type_ip, rdf_type_type, rdf_value_type, % 46.66/7.37 rdfs_annotation_comment_domain, rdfs_annotation_comment_range, % 46.66/7.37 rdfs_annotation_isdefinedby_domain, rdfs_annotation_isdefinedby_range, % 46.66/7.37 rdfs_annotation_isdefinedby_sub, rdfs_annotation_label_domain, % 46.66/7.37 rdfs_annotation_label_range, rdfs_annotation_seealso_domain, % 46.66/7.37 rdfs_annotation_seealso_range, rdfs_class_instsub_resource, % 46.66/7.37 rdfs_collection_first_domain, rdfs_collection_first_range, % 46.66/7.37 rdfs_collection_rest_domain, rdfs_collection_rest_range, rdfs_container_alt_sub, % 46.66/7.37 rdfs_container_bag_sub, % 46.66/7.37 rdfs_container_containermembershipproperty_instsub_member, % 46.66/7.37 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain, % 46.66/7.37 rdfs_container_member_range, rdfs_container_n_domain_001, % 46.66/7.37 rdfs_container_n_domain_002, rdfs_container_n_domain_003, % 46.66/7.37 rdfs_container_n_range_001, rdfs_container_n_range_002, % 46.66/7.37 rdfs_container_n_range_003, rdfs_container_n_type_001, % 46.66/7.37 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub, % 46.66/7.37 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type, % 46.66/7.37 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain, % 46.66/7.37 rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def, % 46.66/7.37 rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range, % 46.66/7.37 rdfs_reification_object_domain, rdfs_reification_object_range, % 46.66/7.37 rdfs_reification_predicate_domain, rdfs_reification_predicate_range, % 46.66/7.37 rdfs_reification_subject_domain, rdfs_reification_subject_range, % 46.66/7.37 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range, % 46.66/7.37 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain, % 46.66/7.37 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex, % 46.66/7.37 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain, % 46.66/7.37 rdfs_value_range, simple_iext_property, simple_ir, simple_lv % 46.66/7.37 % 46.66/7.37 Those formulas are unsatisfiable: % 46.66/7.37 --------------------------------- % 46.66/7.37 % 46.66/7.37 Begin of proof % 46.66/7.37 | % 46.66/7.37 | ALPHA: (owl_restrict_somevaluesfrom) implies: % 46.66/7.38 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 46.66/7.38 | (iext(uri_owl_someValuesFrom, v0, v2) = 0) | ~ % 46.66/7.38 | (iext(uri_owl_onProperty, v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 46.66/7.38 | $i(v0) | ( ! [v3: $i] : ! [v4: int] : (v4 = 0 | ~ (icext(v0, v3) = % 46.66/7.38 | v4) | ~ $i(v3) | ! [v5: $i] : ( ~ (icext(v2, v5) = 0) | ~ % 46.66/7.38 | $i(v5) | ? [v6: int] : ( ~ (v6 = 0) & iext(v1, v3, v5) = v6))) % 46.66/7.38 | & ! [v3: $i] : ( ~ (icext(v0, v3) = 0) | ~ $i(v3) | ? [v4: $i] : % 46.66/7.38 | (iext(v1, v3, v4) = 0 & icext(v2, v4) = 0 & $i(v4))))) % 46.66/7.38 | % 46.66/7.38 | ALPHA: (rdfs_cext_def) implies: % 46.66/7.38 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (iext(uri_rdf_type, v0, v1) = 0) | ~ % 46.66/7.38 | $i(v1) | ~ $i(v0) | icext(v1, v0) = 0) % 46.66/7.38 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ % 46.66/7.38 | (iext(uri_rdf_type, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: % 46.66/7.38 | int] : ( ~ (v3 = 0) & icext(v1, v0) = v3)) % 46.66/7.38 | % 46.66/7.38 | ALPHA: (testcase_premise_fullish_009_Existential_Restriction_Entailments) % 46.66/7.38 | implies: % 46.66/7.38 | (4) ? [v0: any] : ? [v1: any] : (iext(uri_rdf_type, uri_ex_c, % 46.66/7.38 | uri_owl_Class) = v1 & iext(uri_rdf_type, uri_ex_p, % 46.66/7.38 | uri_owl_ObjectProperty) = v0 & ? [v2: $i] : (v1 = 0 & v0 = 0 & % 46.66/7.38 | iext(uri_owl_someValuesFrom, v2, uri_ex_c) = 0 & % 46.66/7.38 | iext(uri_owl_onProperty, v2, uri_ex_p) = 0 & iext(uri_rdf_type, v2, % 46.66/7.38 | uri_owl_Restriction) = 0 & iext(uri_rdf_type, uri_ex_s, v2) = 0 & % 46.66/7.38 | $i(v2))) % 46.66/7.38 | % 46.66/7.38 | ALPHA: (testcase_conclusion_fullish_009_Existential_Restriction_Entailments) % 46.66/7.38 | implies: % 46.66/7.39 | (5) $i(uri_ex_p) % 46.66/7.39 | (6) $i(uri_ex_s) % 46.66/7.39 | (7) $i(uri_ex_c) % 46.66/7.39 | (8) ! [v0: $i] : ( ~ (iext(uri_ex_p, uri_ex_s, v0) = 0) | ~ $i(v0) | ? % 46.66/7.39 | [v1: int] : ( ~ (v1 = 0) & iext(uri_rdf_type, v0, uri_ex_c) = v1)) % 46.66/7.39 | % 46.66/7.39 | ALPHA: (function-axioms) implies: % 46.66/7.39 | (9) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 46.66/7.39 | ! [v3: $i] : (v1 = v0 | ~ (icext(v3, v2) = v1) | ~ (icext(v3, v2) = % 46.66/7.39 | v0)) % 46.66/7.39 | % 46.66/7.39 | DELTA: instantiating (4) with fresh symbols all_74_0, all_74_1 gives: % 46.66/7.39 | (10) iext(uri_rdf_type, uri_ex_c, uri_owl_Class) = all_74_0 & % 46.66/7.39 | iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) = all_74_1 & ? % 46.66/7.39 | [v0: $i] : (all_74_0 = 0 & all_74_1 = 0 & iext(uri_owl_someValuesFrom, % 46.66/7.39 | v0, uri_ex_c) = 0 & iext(uri_owl_onProperty, v0, uri_ex_p) = 0 & % 46.66/7.39 | iext(uri_rdf_type, v0, uri_owl_Restriction) = 0 & iext(uri_rdf_type, % 46.66/7.39 | uri_ex_s, v0) = 0 & $i(v0)) % 46.66/7.39 | % 46.66/7.39 | ALPHA: (10) implies: % 46.66/7.39 | (11) ? [v0: $i] : (all_74_0 = 0 & all_74_1 = 0 & % 46.66/7.39 | iext(uri_owl_someValuesFrom, v0, uri_ex_c) = 0 & % 46.66/7.39 | iext(uri_owl_onProperty, v0, uri_ex_p) = 0 & iext(uri_rdf_type, v0, % 46.66/7.39 | uri_owl_Restriction) = 0 & iext(uri_rdf_type, uri_ex_s, v0) = 0 & % 46.66/7.39 | $i(v0)) % 46.66/7.39 | % 46.66/7.39 | DELTA: instantiating (11) with fresh symbol all_76_0 gives: % 46.66/7.39 | (12) all_74_0 = 0 & all_74_1 = 0 & iext(uri_owl_someValuesFrom, all_76_0, % 46.66/7.39 | uri_ex_c) = 0 & iext(uri_owl_onProperty, all_76_0, uri_ex_p) = 0 & % 46.66/7.39 | iext(uri_rdf_type, all_76_0, uri_owl_Restriction) = 0 & % 46.66/7.39 | iext(uri_rdf_type, uri_ex_s, all_76_0) = 0 & $i(all_76_0) % 46.66/7.39 | % 46.66/7.40 | ALPHA: (12) implies: % 46.66/7.40 | (13) $i(all_76_0) % 46.66/7.40 | (14) iext(uri_rdf_type, uri_ex_s, all_76_0) = 0 % 46.66/7.40 | (15) iext(uri_owl_onProperty, all_76_0, uri_ex_p) = 0 % 46.66/7.40 | (16) iext(uri_owl_someValuesFrom, all_76_0, uri_ex_c) = 0 % 46.66/7.40 | % 46.66/7.40 | GROUND_INST: instantiating (2) with uri_ex_s, all_76_0, simplifying with (6), % 46.66/7.40 | (13), (14) gives: % 46.66/7.40 | (17) icext(all_76_0, uri_ex_s) = 0 % 46.66/7.40 | % 46.66/7.40 | GROUND_INST: instantiating (1) with all_76_0, uri_ex_p, uri_ex_c, simplifying % 46.66/7.40 | with (5), (7), (13), (15), (16) gives: % 46.66/7.40 | (18) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (icext(all_76_0, v0) = v1) | % 46.66/7.40 | ~ $i(v0) | ! [v2: $i] : ( ~ (icext(uri_ex_c, v2) = 0) | ~ $i(v2) % 46.66/7.40 | | ? [v3: int] : ( ~ (v3 = 0) & iext(uri_ex_p, v0, v2) = v3))) & % 46.66/7.40 | ! [v0: $i] : ( ~ (icext(all_76_0, v0) = 0) | ~ $i(v0) | ? [v1: $i] : % 46.66/7.40 | (iext(uri_ex_p, v0, v1) = 0 & icext(uri_ex_c, v1) = 0 & $i(v1))) % 46.66/7.40 | % 46.66/7.40 | ALPHA: (18) implies: % 46.66/7.40 | (19) ! [v0: $i] : ( ~ (icext(all_76_0, v0) = 0) | ~ $i(v0) | ? [v1: $i] % 46.66/7.40 | : (iext(uri_ex_p, v0, v1) = 0 & icext(uri_ex_c, v1) = 0 & $i(v1))) % 46.66/7.40 | % 46.66/7.40 | GROUND_INST: instantiating (19) with uri_ex_s, simplifying with (6), (17) % 46.66/7.40 | gives: % 46.66/7.40 | (20) ? [v0: $i] : (iext(uri_ex_p, uri_ex_s, v0) = 0 & icext(uri_ex_c, v0) % 46.66/7.40 | = 0 & $i(v0)) % 46.66/7.40 | % 46.66/7.40 | DELTA: instantiating (20) with fresh symbol all_182_0 gives: % 46.66/7.40 | (21) iext(uri_ex_p, uri_ex_s, all_182_0) = 0 & icext(uri_ex_c, all_182_0) = % 46.66/7.40 | 0 & $i(all_182_0) % 46.66/7.40 | % 46.66/7.40 | ALPHA: (21) implies: % 46.66/7.41 | (22) $i(all_182_0) % 46.66/7.41 | (23) icext(uri_ex_c, all_182_0) = 0 % 46.66/7.41 | (24) iext(uri_ex_p, uri_ex_s, all_182_0) = 0 % 46.66/7.41 | % 46.66/7.41 | GROUND_INST: instantiating (8) with all_182_0, simplifying with (22), (24) % 46.66/7.41 | gives: % 46.66/7.41 | (25) ? [v0: int] : ( ~ (v0 = 0) & iext(uri_rdf_type, all_182_0, uri_ex_c) % 46.66/7.41 | = v0) % 46.66/7.41 | % 46.66/7.41 | DELTA: instantiating (25) with fresh symbol all_194_0 gives: % 46.66/7.41 | (26) ~ (all_194_0 = 0) & iext(uri_rdf_type, all_182_0, uri_ex_c) = % 46.66/7.41 | all_194_0 % 46.66/7.41 | % 46.66/7.41 | ALPHA: (26) implies: % 46.66/7.41 | (27) ~ (all_194_0 = 0) % 46.66/7.41 | (28) iext(uri_rdf_type, all_182_0, uri_ex_c) = all_194_0 % 46.66/7.41 | % 46.66/7.41 | GROUND_INST: instantiating (3) with all_182_0, uri_ex_c, all_194_0, % 46.66/7.41 | simplifying with (7), (22), (28) gives: % 46.66/7.41 | (29) all_194_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) & icext(uri_ex_c, % 46.66/7.41 | all_182_0) = v0) % 46.66/7.41 | % 46.66/7.41 | BETA: splitting (29) gives: % 46.66/7.41 | % 46.66/7.41 | Case 1: % 46.66/7.41 | | % 46.66/7.41 | | (30) all_194_0 = 0 % 46.66/7.41 | | % 46.66/7.41 | | REDUCE: (27), (30) imply: % 46.66/7.41 | | (31) $false % 46.66/7.41 | | % 46.66/7.41 | | CLOSE: (31) is inconsistent. % 46.66/7.41 | | % 46.66/7.41 | Case 2: % 46.66/7.41 | | % 47.34/7.41 | | (32) ? [v0: int] : ( ~ (v0 = 0) & icext(uri_ex_c, all_182_0) = v0) % 47.34/7.41 | | % 47.34/7.41 | | DELTA: instantiating (32) with fresh symbol all_206_0 gives: % 47.34/7.41 | | (33) ~ (all_206_0 = 0) & icext(uri_ex_c, all_182_0) = all_206_0 % 47.34/7.41 | | % 47.34/7.41 | | ALPHA: (33) implies: % 47.34/7.41 | | (34) ~ (all_206_0 = 0) % 47.34/7.41 | | (35) icext(uri_ex_c, all_182_0) = all_206_0 % 47.34/7.41 | | % 47.34/7.41 | | GROUND_INST: instantiating (9) with 0, all_206_0, all_182_0, uri_ex_c, % 47.34/7.41 | | simplifying with (23), (35) gives: % 47.34/7.41 | | (36) all_206_0 = 0 % 47.34/7.41 | | % 47.34/7.41 | | REDUCE: (34), (36) imply: % 47.34/7.41 | | (37) $false % 47.34/7.41 | | % 47.34/7.41 | | CLOSE: (37) is inconsistent. % 47.34/7.41 | | % 47.34/7.41 | End of split % 47.34/7.41 | % 47.34/7.41 End of proof % 47.34/7.41 % SZS output end Proof for theBenchmark % 47.34/7.41 % 47.34/7.41 6825ms %------------------------------------------------------------------------------