TSTP Solution File: SWB029+3 by Princess---230619
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%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------