%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWB029+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 : n004.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 20:11:54 EDT 2023 % Result : Theorem 176.21s 23.94s % Output : Proof 176.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB029+3 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n004.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sun Aug 27 06:52:37 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.62 ________ _____ % 0.20/0.62 ___ __ \_________(_)________________________________ % 0.20/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.62 % 0.20/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.62 (2023-06-19) % 0.20/0.62 % 0.20/0.62 (c) Philipp Rümmer, 2009-2023 % 0.20/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.62 Amanda Stjerna. % 0.20/0.62 Free software under BSD-3-Clause. % 0.20/0.62 % 0.20/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.62 % 0.20/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 4.24/1.40 Prover 1: Preprocessing ... % 4.24/1.41 Prover 4: Preprocessing ... % 4.99/1.43 Prover 5: Preprocessing ... % 4.99/1.43 Prover 0: Preprocessing ... % 4.99/1.43 Prover 3: Preprocessing ... % 4.99/1.43 Prover 6: Preprocessing ... % 4.99/1.43 Prover 2: Preprocessing ... % 9.01/2.01 Prover 5: Proving ... % 9.61/2.07 Prover 2: Proving ... % 11.91/2.35 Prover 3: Constructing countermodel ... % 11.91/2.39 Prover 6: Proving ... % 12.64/2.45 Prover 1: Constructing countermodel ... % 22.77/3.82 Prover 4: Constructing countermodel ... % 26.21/4.21 Prover 0: Proving ... % 73.31/10.35 Prover 2: stopped % 73.31/10.36 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.10/10.44 Prover 7: Preprocessing ... % 75.21/10.54 Prover 7: Warning: ignoring some quantifiers % 75.21/10.55 Prover 7: Constructing countermodel ... % 101.33/13.99 Prover 5: stopped % 101.33/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 102.10/14.08 Prover 8: Preprocessing ... % 103.64/14.29 Prover 8: Warning: ignoring some quantifiers % 104.45/14.30 Prover 8: Constructing countermodel ... % 117.46/16.00 Prover 1: stopped % 117.46/16.01 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 117.59/16.05 Prover 9: Preprocessing ... % 125.51/17.07 Prover 9: Constructing countermodel ... % 131.86/17.96 Prover 6: stopped % 131.86/17.96 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 132.71/18.12 Prover 10: Preprocessing ... % 133.04/18.23 Prover 10: Warning: ignoring some quantifiers % 134.19/18.24 Prover 10: Constructing countermodel ... % 175.67/23.92 Prover 10: Found proof (size 11) % 175.67/23.92 Prover 10: proved (5957ms) % 175.67/23.92 Prover 9: stopped % 175.67/23.92 Prover 0: stopped % 175.67/23.92 Prover 3: stopped % 175.67/23.92 Prover 7: stopped % 175.67/23.93 Prover 4: stopped % 176.21/23.94 Prover 8: stopped % 176.21/23.94 % 176.21/23.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 176.21/23.94 % 176.21/23.94 % SZS output start Proof for theBenchmark % 176.21/23.95 Assumptions after simplification: % 176.21/23.95 --------------------------------- % 176.21/23.95 % 176.21/23.95 (owl_bool_complementof_class) % 176.21/23.96 $i(uri_owl_complementOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 176.21/23.96 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v1, v2) | ~ icext(v0, v2) | ~ % 176.21/23.96 iext(uri_owl_complementOf, v0, v1)) & ? [v0: $i] : ! [v1: $i] : ! [v2: % 176.21/23.96 $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ iext(uri_owl_complementOf, v1, % 176.21/23.96 v2) | icext(v2, v0) | icext(v1, v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 176.21/23.96 $i(v1) | ~ $i(v0) | ~ iext(uri_owl_complementOf, v0, v1) | ic(v1)) & ! % 176.21/23.96 [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 176.21/23.96 iext(uri_owl_complementOf, v0, v1) | ic(v0)) % 176.21/23.96 % 176.21/23.96 (owl_bool_intersectionof_class_002) % 176.21/23.97 $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdf_nil) & % 176.21/23.97 $i(uri_owl_intersectionOf) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 176.21/23.97 $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 176.21/23.97 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v4, v5) | ~ icext(v2, v5) | ~ % 176.21/23.97 iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 176.21/23.97 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 176.21/23.97 iext(uri_owl_intersectionOf, v0, v1) | icext(v0, v5)) & ! [v0: $i] : ! % 176.21/23.97 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) % 176.21/23.97 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, % 176.21/23.97 v5) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, % 176.21/23.97 v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 176.21/23.97 iext(uri_owl_intersectionOf, v0, v1) | icext(v4, v5)) & ! [v0: $i] : ! % 176.21/23.97 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ $i(v5) % 176.21/23.97 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ icext(v0, % 176.21/23.97 v5) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, % 176.21/23.97 v3) | ~ iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 176.21/23.97 iext(uri_owl_intersectionOf, v0, v1) | icext(v2, v5)) & ! [v0: $i] : ! % 176.21/23.97 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | % 176.21/23.97 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ ic(v4) | ~ ic(v2) | ~ ic(v0) | ~ % 176.21/23.97 iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 176.21/23.97 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | % 176.21/23.97 iext(uri_owl_intersectionOf, v0, v1) | ? [v5: $i] : ($i(v5) & ( ~ icext(v4, % 176.21/23.97 v5) | ~ icext(v2, v5) | ~ icext(v0, v5)) & (icext(v0, v5) | % 176.21/23.97 (icext(v4, v5) & icext(v2, v5))))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 176.21/23.97 $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ % 176.21/23.97 $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ % 176.21/23.97 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ % 176.21/23.97 iext(uri_rdf_first, v1, v2) | ~ iext(uri_owl_intersectionOf, v0, v1) | % 176.21/23.97 ic(v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 176.21/23.97 $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 176.21/23.97 iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 176.21/23.97 iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 176.21/23.97 iext(uri_owl_intersectionOf, v0, v1) | ic(v2)) & ! [v0: $i] : ! [v1: $i] : % 176.21/23.97 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 176.21/23.97 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_rest, v3, uri_rdf_nil) | ~ % 176.21/23.97 iext(uri_rdf_rest, v1, v3) | ~ iext(uri_rdf_first, v3, v4) | ~ % 176.21/23.97 iext(uri_rdf_first, v1, v2) | ~ iext(uri_owl_intersectionOf, v0, v1) | % 176.21/23.97 ic(v0)) % 176.21/23.97 % 176.21/23.97 (rdfs_cext_def) % 176.21/23.97 $i(uri_rdf_type) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 176.21/23.97 icext(v1, v0) | iext(uri_rdf_type, v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( % 176.21/23.97 ~ $i(v1) | ~ $i(v0) | ~ iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 176.21/23.97 % 176.21/23.97 (testcase_premise_fullish_029_Ex_Falso_Quodlibet) % 176.21/23.97 $i(uri_owl_Class) & $i(uri_ex_A) & $i(uri_ex_B) & $i(uri_ex_w) & % 176.21/23.97 $i(uri_rdf_type) & $i(uri_rdf_rest) & $i(uri_rdf_first) & $i(uri_rdf_nil) & % 176.21/23.97 $i(uri_owl_intersectionOf) & $i(uri_owl_complementOf) & ? [v0: $i] : ? [v1: % 176.21/23.97 $i] : ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & $i(v1) & $i(v0) & % 176.21/23.97 iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, % 176.21/23.97 uri_owl_Class) & iext(uri_rdf_type, uri_ex_w, v0) & iext(uri_rdf_rest, v3, % 176.21/23.97 uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_first, v3, v1) & % 176.21/23.97 iext(uri_rdf_first, v2, uri_ex_A) & iext(uri_owl_intersectionOf, v0, v2) & % 176.21/23.97 iext(uri_owl_complementOf, v1, uri_ex_A)) % 176.21/23.97 % 176.21/23.97 Further assumptions not needed in the proof: % 176.21/23.97 -------------------------------------------- % 176.21/23.98 owl_bool_intersectionof_class_000, owl_bool_intersectionof_class_001, % 176.21/23.98 owl_bool_intersectionof_class_003, owl_bool_unionof_class_000, % 176.21/23.98 owl_bool_unionof_class_001, owl_bool_unionof_class_002, % 176.21/23.98 owl_bool_unionof_class_003, owl_class_nothing_ext, owl_class_nothing_type, % 176.21/23.98 owl_class_thing_ext, owl_class_thing_type, owl_parts_ic_cond_inst, % 176.21/23.98 owl_parts_ic_cond_set, owl_parts_ic_def, owl_parts_idc_cond_inst, % 176.21/23.98 owl_parts_idc_cond_set, owl_parts_idc_def, owl_parts_ioap_cond_inst, % 176.21/23.98 owl_parts_ioap_cond_set, owl_parts_ioap_def, owl_parts_iodp_cond_inst, % 176.21/23.98 owl_parts_iodp_cond_set, owl_parts_iodp_def, owl_parts_ioxp_cond_inst, % 176.21/23.98 owl_parts_ioxp_cond_set, owl_parts_ioxp_def, owl_parts_ip_cond_inst, % 176.21/23.98 owl_parts_ip_cond_set, owl_parts_ip_def, owl_parts_ir_cond_set, % 176.21/23.98 owl_parts_ir_def, owl_parts_ix_cond_set, owl_parts_ix_def, % 176.21/23.98 owl_parts_lv_cond_set, owl_parts_lv_def, owl_prop_allvaluesfrom_ext, % 176.21/23.98 owl_prop_allvaluesfrom_type, owl_prop_complementof_ext, % 176.21/23.98 owl_prop_complementof_type, owl_prop_hasvalue_ext, owl_prop_hasvalue_type, % 176.21/23.98 owl_prop_intersectionof_ext, owl_prop_intersectionof_type, % 176.21/23.98 owl_prop_onproperty_ext, owl_prop_onproperty_type, owl_prop_somevaluesfrom_ext, % 176.21/23.98 owl_prop_somevaluesfrom_type, owl_prop_unionof_ext, owl_prop_unionof_type, % 176.21/23.98 owl_rdfsext_domain, owl_rdfsext_range, owl_rdfsext_subclassof, % 176.21/23.98 owl_rdfsext_subpropertyof, owl_restrict_allvaluesfrom, owl_restrict_hasvalue, % 176.21/23.98 owl_restrict_somevaluesfrom, rdf_collection_first_type, rdf_collection_nil_type, % 176.21/23.98 rdf_collection_rest_type, rdf_container_n_type_001, rdf_container_n_type_002, % 176.21/23.98 rdf_container_n_type_003, rdf_reification_object_type, % 176.21/23.98 rdf_reification_predicate_type, rdf_reification_subject_type, rdf_type_ip, % 176.21/23.98 rdf_type_type, rdf_value_type, rdfs_annotation_comment_domain, % 176.21/23.98 rdfs_annotation_comment_range, rdfs_annotation_isdefinedby_domain, % 176.21/23.98 rdfs_annotation_isdefinedby_range, rdfs_annotation_isdefinedby_sub, % 176.21/23.98 rdfs_annotation_label_domain, rdfs_annotation_label_range, % 176.21/23.98 rdfs_annotation_seealso_domain, rdfs_annotation_seealso_range, % 176.21/23.98 rdfs_class_instsub_resource, rdfs_collection_first_domain, % 176.21/23.98 rdfs_collection_first_range, rdfs_collection_rest_domain, % 176.21/23.98 rdfs_collection_rest_range, rdfs_container_alt_sub, rdfs_container_bag_sub, % 176.21/23.98 rdfs_container_containermembershipproperty_instsub_member, % 176.21/23.98 rdfs_container_containermembershipproperty_sub, rdfs_container_member_domain, % 176.21/23.98 rdfs_container_member_range, rdfs_container_n_domain_001, % 176.21/23.98 rdfs_container_n_domain_002, rdfs_container_n_domain_003, % 176.21/23.98 rdfs_container_n_range_001, rdfs_container_n_range_002, % 176.21/23.98 rdfs_container_n_range_003, rdfs_container_n_type_001, % 176.21/23.98 rdfs_container_n_type_002, rdfs_container_n_type_003, rdfs_container_seq_sub, % 176.21/23.98 rdfs_dat_xmlliteral_sub, rdfs_dat_xmlliteral_type, % 176.21/23.98 rdfs_datatype_instsub_literal, rdfs_datatype_sub, rdfs_domain_domain, % 176.21/23.98 rdfs_domain_main, rdfs_domain_range, rdfs_ic_def, rdfs_ir_def, rdfs_lv_def, % 176.21/23.98 rdfs_property_type, rdfs_range_domain, rdfs_range_main, rdfs_range_range, % 176.21/23.98 rdfs_reification_object_domain, rdfs_reification_object_range, % 176.21/23.98 rdfs_reification_predicate_domain, rdfs_reification_predicate_range, % 176.21/23.98 rdfs_reification_subject_domain, rdfs_reification_subject_range, % 176.21/23.98 rdfs_subclassof_domain, rdfs_subclassof_main, rdfs_subclassof_range, % 176.21/23.98 rdfs_subclassof_reflex, rdfs_subclassof_trans, rdfs_subpropertyof_domain, % 176.21/23.98 rdfs_subpropertyof_main, rdfs_subpropertyof_range, rdfs_subpropertyof_reflex, % 176.21/23.98 rdfs_subpropertyof_trans, rdfs_type_domain, rdfs_type_range, rdfs_value_domain, % 176.21/23.98 rdfs_value_range, simple_iext_property, simple_ir, simple_lv, % 176.21/23.98 testcase_conclusion_fullish_029_Ex_Falso_Quodlibet % 176.21/23.98 % 176.21/23.98 Those formulas are unsatisfiable: % 176.21/23.98 --------------------------------- % 176.21/23.98 % 176.21/23.98 Begin of proof % 176.21/23.98 | % 176.21/23.98 | ALPHA: (testcase_premise_fullish_029_Ex_Falso_Quodlibet) implies: % 176.21/23.98 | (1) $i(uri_ex_w) % 176.21/23.98 | (2) $i(uri_ex_A) % 176.21/23.98 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ($i(v3) & % 176.21/23.98 | $i(v2) & $i(v1) & $i(v0) & iext(uri_rdf_type, uri_ex_A, % 176.21/23.98 | uri_owl_Class) & iext(uri_rdf_type, uri_ex_B, uri_owl_Class) & % 176.21/23.98 | iext(uri_rdf_type, uri_ex_w, v0) & iext(uri_rdf_rest, v3, % 176.21/23.98 | uri_rdf_nil) & iext(uri_rdf_rest, v2, v3) & iext(uri_rdf_first, v3, % 176.21/23.98 | v1) & iext(uri_rdf_first, v2, uri_ex_A) & % 176.21/23.98 | iext(uri_owl_intersectionOf, v0, v2) & iext(uri_owl_complementOf, v1, % 176.21/23.98 | uri_ex_A)) % 176.21/23.98 | % 176.21/23.98 | ALPHA: (rdfs_cext_def) implies: % 176.21/23.98 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 176.21/23.98 | iext(uri_rdf_type, v0, v1) | icext(v1, v0)) % 176.21/23.98 | % 176.21/23.98 | ALPHA: (owl_bool_intersectionof_class_002) implies: % 176.21/23.98 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 176.21/23.98 | ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 176.21/23.98 | | ~ $i(v0) | ~ icext(v0, v5) | ~ iext(uri_rdf_rest, v3, % 176.21/23.98 | uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 176.21/23.98 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 176.21/23.98 | iext(uri_owl_intersectionOf, v0, v1) | icext(v2, v5)) % 176.21/23.98 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 176.21/23.98 | ! [v5: $i] : ( ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) % 176.21/23.98 | | ~ $i(v0) | ~ icext(v0, v5) | ~ iext(uri_rdf_rest, v3, % 176.21/23.98 | uri_rdf_nil) | ~ iext(uri_rdf_rest, v1, v3) | ~ % 176.21/23.98 | iext(uri_rdf_first, v3, v4) | ~ iext(uri_rdf_first, v1, v2) | ~ % 176.21/23.98 | iext(uri_owl_intersectionOf, v0, v1) | icext(v4, v5)) % 176.21/23.98 | % 176.21/23.98 | ALPHA: (owl_bool_complementof_class) implies: % 176.21/23.98 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 176.21/23.98 | $i(v0) | ~ icext(v1, v2) | ~ icext(v0, v2) | ~ % 176.21/23.98 | iext(uri_owl_complementOf, v0, v1)) % 176.21/23.98 | % 176.21/23.99 | DELTA: instantiating (3) with fresh symbols all_76_0, all_76_1, all_76_2, % 176.21/23.99 | all_76_3 gives: % 176.21/23.99 | (8) $i(all_76_0) & $i(all_76_1) & $i(all_76_2) & $i(all_76_3) & % 176.21/23.99 | iext(uri_rdf_type, uri_ex_A, uri_owl_Class) & iext(uri_rdf_type, % 176.21/23.99 | uri_ex_B, uri_owl_Class) & iext(uri_rdf_type, uri_ex_w, all_76_3) & % 176.21/23.99 | iext(uri_rdf_rest, all_76_0, uri_rdf_nil) & iext(uri_rdf_rest, % 176.21/23.99 | all_76_1, all_76_0) & iext(uri_rdf_first, all_76_0, all_76_2) & % 176.21/23.99 | iext(uri_rdf_first, all_76_1, uri_ex_A) & iext(uri_owl_intersectionOf, % 176.21/23.99 | all_76_3, all_76_1) & iext(uri_owl_complementOf, all_76_2, uri_ex_A) % 176.21/23.99 | % 176.21/23.99 | ALPHA: (8) implies: % 176.21/23.99 | (9) iext(uri_owl_complementOf, all_76_2, uri_ex_A) % 176.21/23.99 | (10) iext(uri_owl_intersectionOf, all_76_3, all_76_1) % 176.21/23.99 | (11) iext(uri_rdf_first, all_76_1, uri_ex_A) % 176.21/23.99 | (12) iext(uri_rdf_first, all_76_0, all_76_2) % 176.21/23.99 | (13) iext(uri_rdf_rest, all_76_1, all_76_0) % 176.21/23.99 | (14) iext(uri_rdf_rest, all_76_0, uri_rdf_nil) % 176.21/23.99 | (15) iext(uri_rdf_type, uri_ex_w, all_76_3) % 176.21/23.99 | (16) $i(all_76_3) % 176.21/23.99 | (17) $i(all_76_2) % 176.21/23.99 | (18) $i(all_76_1) % 176.21/23.99 | (19) $i(all_76_0) % 176.21/23.99 | % 176.21/23.99 | GROUND_INST: instantiating (4) with uri_ex_w, all_76_3, simplifying with (1), % 176.21/23.99 | (15), (16) gives: % 176.21/23.99 | (20) icext(all_76_3, uri_ex_w) % 176.21/23.99 | % 176.21/23.99 | GROUND_INST: instantiating (6) with all_76_3, all_76_1, uri_ex_A, all_76_0, % 176.21/23.99 | all_76_2, uri_ex_w, simplifying with (1), (2), (10), (11), (12), % 176.21/23.99 | (13), (14), (16), (17), (18), (19), (20) gives: % 176.21/23.99 | (21) icext(all_76_2, uri_ex_w) % 176.21/23.99 | % 176.21/23.99 | GROUND_INST: instantiating (5) with all_76_3, all_76_1, uri_ex_A, all_76_0, % 176.21/23.99 | all_76_2, uri_ex_w, simplifying with (1), (2), (10), (11), (12), % 176.21/23.99 | (13), (14), (16), (17), (18), (19), (20) gives: % 176.21/23.99 | (22) icext(uri_ex_A, uri_ex_w) % 176.21/23.99 | % 176.21/23.99 | GROUND_INST: instantiating (7) with all_76_2, uri_ex_A, uri_ex_w, simplifying % 176.21/23.99 | with (1), (2), (9), (17), (21), (22) gives: % 176.21/23.99 | (23) $false % 176.21/23.99 | % 176.21/23.99 | CLOSE: (23) is inconsistent. % 176.21/23.99 | % 176.21/23.99 End of proof % 176.21/23.99 % SZS output end Proof for theBenchmark % 176.21/23.99 % 176.21/23.99 23370ms %------------------------------------------------------------------------------