TSTP Solution File: SWB029+3 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWB029+3 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 : 600s
% DateTime : Tue Jul 19 19:18:55 EDT 2022
% Result : Theorem 3.95s 4.21s
% Output : Refutation 3.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB029+3 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 07:27:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/1.04 ============================== Prover9 ===============================
% 0.77/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.04 Process 27972 was started by sandbox2 on n028.cluster.edu,
% 0.77/1.04 Wed Jun 1 07:27:07 2022
% 0.77/1.04 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27819_n028.cluster.edu".
% 0.77/1.04 ============================== end of head ===========================
% 0.77/1.04
% 0.77/1.04 ============================== INPUT =================================
% 0.77/1.04
% 0.77/1.04 % Reading from file /tmp/Prover9_27819_n028.cluster.edu
% 0.77/1.04
% 0.77/1.04 set(prolog_style_variables).
% 0.77/1.04 set(auto2).
% 0.77/1.04 % set(auto2) -> set(auto).
% 0.77/1.04 % set(auto) -> set(auto_inference).
% 0.77/1.04 % set(auto) -> set(auto_setup).
% 0.77/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.77/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.04 % set(auto) -> set(auto_limits).
% 0.77/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.04 % set(auto) -> set(auto_denials).
% 0.77/1.04 % set(auto) -> set(auto_process).
% 0.77/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.77/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.77/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.77/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.77/1.04 % set(auto2) -> assign(stats, some).
% 0.77/1.04 % set(auto2) -> clear(echo_input).
% 0.77/1.04 % set(auto2) -> set(quiet).
% 0.77/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.04 % set(auto2) -> clear(print_given).
% 0.77/1.04 assign(lrs_ticks,-1).
% 0.77/1.04 assign(sos_limit,10000).
% 0.77/1.04 assign(order,kbo).
% 0.77/1.04 set(lex_order_vars).
% 0.77/1.04 clear(print_given).
% 0.77/1.04
% 0.77/1.04 % formulas(sos). % not echoed (140 formulas)
% 0.77/1.04
% 0.77/1.04 ============================== end of input ==========================
% 0.77/1.04
% 0.77/1.04 % From the command line: assign(max_seconds, 300).
% 0.77/1.04
% 0.77/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.04
% 0.77/1.04 % Formulas that are not ordinary clauses:
% 0.77/1.04 1 (all Z all C (iext(uri_owl_complementOf,Z,C) -> ic(Z) & ic(C) & (all X (icext(Z,X) <-> -icext(C,X))))) # label(owl_bool_complementof_class) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 2 (all Z (iext(uri_owl_intersectionOf,Z,uri_rdf_nil) <-> ic(Z) & (all X (icext(Z,X) <-> ir(X))))) # label(owl_bool_intersectionof_class_000) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 3 (all Z all S1 all C1 (iext(uri_rdf_first,S1,C1) & iext(uri_rdf_rest,S1,uri_rdf_nil) -> (iext(uri_owl_intersectionOf,Z,S1) <-> ic(Z) & ic(C1) & (all X (icext(Z,X) <-> icext(C1,X)))))) # label(owl_bool_intersectionof_class_001) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 4 (all Z all S1 all C1 all S2 all C2 (iext(uri_rdf_first,S1,C1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,C2) & iext(uri_rdf_rest,S2,uri_rdf_nil) -> (iext(uri_owl_intersectionOf,Z,S1) <-> ic(Z) & ic(C1) & ic(C2) & (all X (icext(Z,X) <-> icext(C1,X) & icext(C2,X)))))) # label(owl_bool_intersectionof_class_002) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 5 (all Z all S1 all C1 all S2 all C2 all S3 all C3 (iext(uri_rdf_first,S1,C1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,C2) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_first,S3,C3) & iext(uri_rdf_rest,S3,uri_rdf_nil) -> (iext(uri_owl_intersectionOf,Z,S1) <-> ic(Z) & ic(C1) & ic(C2) & ic(C3) & (all X (icext(Z,X) <-> icext(C1,X) & icext(C2,X) & icext(C3,X)))))) # label(owl_bool_intersectionof_class_003) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 6 (all Z (iext(uri_owl_unionOf,Z,uri_rdf_nil) <-> ic(Z) & (all X -icext(Z,X)))) # label(owl_bool_unionof_class_000) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 7 (all Z all S1 all C1 (iext(uri_rdf_first,S1,C1) & iext(uri_rdf_rest,S1,uri_rdf_nil) -> (iext(uri_owl_unionOf,Z,S1) <-> ic(Z) & ic(C1) & (all X (icext(Z,X) <-> icext(C1,X)))))) # label(owl_bool_unionof_class_001) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 8 (all Z all S1 all C1 all S2 all C2 (iext(uri_rdf_first,S1,C1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,C2) & iext(uri_rdf_rest,S2,uri_rdf_nil) -> (iext(uri_owl_unionOf,Z,S1) <-> ic(Z) & ic(C1) & ic(C2) & (all X (icext(Z,X) <-> icext(C1,X) | icext(C2,X)))))) # label(owl_bool_unionof_class_002) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 9 (all Z all S1 all C1 all S2 all C2 all S3 all C3 (iext(uri_rdf_first,S1,C1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,C2) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_first,S3,C3) & iext(uri_rdf_rest,S3,uri_rdf_nil) -> (iext(uri_owl_unionOf,Z,S1) <-> ic(Z) & ic(C1) & ic(C2) & ic(C3) & (all X (icext(Z,X) <-> icext(C1,X) | icext(C2,X) | icext(C3,X)))))) # label(owl_bool_unionof_class_003) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 10 (all X -icext(uri_owl_Nothing,X)) # label(owl_class_nothing_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 11 (all X (icext(uri_owl_Thing,X) <-> ir(X))) # label(owl_class_thing_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 12 (all X (ic(X) -> (all Y (icext(X,Y) -> ir(Y))))) # label(owl_parts_ic_cond_inst) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 13 (all X (ic(X) -> ir(X))) # label(owl_parts_ic_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 14 (all X (ic(X) <-> iext(uri_rdf_type,X,uri_rdfs_Class))) # label(owl_parts_ic_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 15 (all X (idc(X) -> (all Y (icext(X,Y) -> lv(Y))))) # label(owl_parts_idc_cond_inst) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 16 (all X (idc(X) -> ic(X))) # label(owl_parts_idc_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 17 (all X (idc(X) <-> iext(uri_rdf_type,X,uri_rdfs_Datatype))) # label(owl_parts_idc_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 18 (all X (ioap(X) -> (all Y all Z (iext(X,Y,Z) -> ir(Y) & ir(Z))))) # label(owl_parts_ioap_cond_inst) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 19 (all X (ioap(X) -> ip(X))) # label(owl_parts_ioap_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 20 (all X (ioap(X) <-> iext(uri_rdf_type,X,uri_owl_AnnotationProperty))) # label(owl_parts_ioap_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 21 (all X (iodp(X) -> (all Y all Z (iext(X,Y,Z) -> ir(Y) & lv(Z))))) # label(owl_parts_iodp_cond_inst) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 22 (all X (iodp(X) -> ip(X))) # label(owl_parts_iodp_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 23 (all X (iodp(X) <-> iext(uri_rdf_type,X,uri_owl_DatatypeProperty))) # label(owl_parts_iodp_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 24 (all X (ioxp(X) -> (all Y all Z (iext(X,Y,Z) -> ix(Y) & ix(Z))))) # label(owl_parts_ioxp_cond_inst) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 25 (all X (ioxp(X) -> ip(X))) # label(owl_parts_ioxp_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 26 (all X (ioxp(X) <-> iext(uri_rdf_type,X,uri_owl_OntologyProperty))) # label(owl_parts_ioxp_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 27 (all X (ip(X) -> (all Y all Z (iext(X,Y,Z) -> ir(Y) & ir(Z))))) # label(owl_parts_ip_cond_inst) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 28 (all X (ip(X) -> ir(X))) # label(owl_parts_ip_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 29 (all X (ip(X) <-> iext(uri_rdf_type,X,uri_rdf_Property))) # label(owl_parts_ip_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 30 (exists X ir(X)) # label(owl_parts_ir_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 31 (all X (ir(X) <-> iext(uri_rdf_type,X,uri_rdfs_Resource))) # label(owl_parts_ir_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 32 (all X (ix(X) -> ir(X))) # label(owl_parts_ix_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 33 (all X (ix(X) <-> iext(uri_rdf_type,X,uri_owl_Ontology))) # label(owl_parts_ix_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 34 (all X (lv(X) -> ir(X))) # label(owl_parts_lv_cond_set) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 35 (all X (lv(X) <-> iext(uri_rdf_type,X,uri_rdfs_Literal))) # label(owl_parts_lv_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 36 (all X all Y (iext(uri_owl_allValuesFrom,X,Y) -> icext(uri_owl_Restriction,X) & ic(Y))) # label(owl_prop_allvaluesfrom_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 37 (all X all Y (iext(uri_owl_complementOf,X,Y) -> ic(X) & ic(Y))) # label(owl_prop_complementof_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 38 (all X all Y (iext(uri_owl_hasValue,X,Y) -> icext(uri_owl_Restriction,X) & ir(Y))) # label(owl_prop_hasvalue_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 39 (all X all Y (iext(uri_owl_intersectionOf,X,Y) -> ic(X) & icext(uri_rdf_List,Y))) # label(owl_prop_intersectionof_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 40 (all X all Y (iext(uri_owl_onProperty,X,Y) -> icext(uri_owl_Restriction,X) & ip(Y))) # label(owl_prop_onproperty_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 41 (all X all Y (iext(uri_owl_someValuesFrom,X,Y) -> icext(uri_owl_Restriction,X) & ic(Y))) # label(owl_prop_somevaluesfrom_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 42 (all X all Y (iext(uri_owl_unionOf,X,Y) -> ic(X) & icext(uri_rdf_List,Y))) # label(owl_prop_unionof_ext) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 43 (all P all C (iext(uri_rdfs_domain,P,C) <-> ip(P) & ic(C) & (all X all Y (iext(P,X,Y) -> icext(C,X))))) # label(owl_rdfsext_domain) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 44 (all P all C (iext(uri_rdfs_range,P,C) <-> ip(P) & ip(C) & (all X all Y (iext(P,X,Y) -> icext(C,Y))))) # label(owl_rdfsext_range) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 45 (all C1 all C2 (iext(uri_rdfs_subClassOf,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) -> icext(C2,X))))) # label(owl_rdfsext_subclassof) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 46 (all P1 all P2 (iext(uri_rdfs_subPropertyOf,P1,P2) <-> ip(P1) & ip(P2) & (all X all Y (iext(P1,X,Y) -> iext(P2,X,Y))))) # label(owl_rdfsext_subpropertyof) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 47 (all Z all P all C (iext(uri_owl_allValuesFrom,Z,C) & iext(uri_owl_onProperty,Z,P) -> (all X (icext(Z,X) <-> (all Y (iext(P,X,Y) -> icext(C,Y))))))) # label(owl_restrict_allvaluesfrom) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 48 (all Z all P all A (iext(uri_owl_hasValue,Z,A) & iext(uri_owl_onProperty,Z,P) -> (all X (icext(Z,X) <-> iext(P,X,A))))) # label(owl_restrict_hasvalue) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 49 (all Z all P all C (iext(uri_owl_someValuesFrom,Z,C) & iext(uri_owl_onProperty,Z,P) -> (all X (icext(Z,X) <-> (exists Y (iext(P,X,Y) & icext(C,Y))))))) # label(owl_restrict_somevaluesfrom) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 50 (all P (iext(uri_rdf_type,P,uri_rdf_Property) <-> ip(P))) # label(rdf_type_ip) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 51 (all X all C (iext(uri_rdf_type,X,C) <-> icext(C,X))) # label(rdfs_cext_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 52 (all C (ic(C) -> iext(uri_rdfs_subClassOf,C,uri_rdfs_Resource))) # label(rdfs_class_instsub_resource) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 53 (all P (icext(uri_rdfs_ContainerMembershipProperty,P) -> iext(uri_rdfs_subPropertyOf,P,uri_rdfs_member))) # label(rdfs_container_containermembershipproperty_instsub_member) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 54 (all D (icext(uri_rdfs_Datatype,D) -> iext(uri_rdfs_subClassOf,D,uri_rdfs_Literal))) # label(rdfs_datatype_instsub_literal) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 55 (all P all C all X all Y (iext(uri_rdfs_domain,P,C) & iext(P,X,Y) -> icext(C,X))) # label(rdfs_domain_main) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 56 (all X (ic(X) <-> icext(uri_rdfs_Class,X))) # label(rdfs_ic_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 57 (all X (ir(X) <-> icext(uri_rdfs_Resource,X))) # label(rdfs_ir_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 58 (all X (lv(X) <-> icext(uri_rdfs_Literal,X))) # label(rdfs_lv_def) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 59 (all P all C all X all Y (iext(uri_rdfs_range,P,C) & iext(P,X,Y) -> icext(C,Y))) # label(rdfs_range_main) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 60 (all C all D (iext(uri_rdfs_subClassOf,C,D) -> ic(C) & ic(D) & (all X (icext(C,X) -> icext(D,X))))) # label(rdfs_subclassof_main) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 61 (all C (ic(C) -> iext(uri_rdfs_subClassOf,C,C))) # label(rdfs_subclassof_reflex) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 62 (all C all D all E (iext(uri_rdfs_subClassOf,C,D) & iext(uri_rdfs_subClassOf,D,E) -> iext(uri_rdfs_subClassOf,C,E))) # label(rdfs_subclassof_trans) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 63 (all P all Q (iext(uri_rdfs_subPropertyOf,P,Q) -> ip(P) & ip(Q) & (all X all Y (iext(P,X,Y) -> iext(Q,X,Y))))) # label(rdfs_subpropertyof_main) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 64 (all P (ip(P) -> iext(uri_rdfs_subPropertyOf,P,P))) # label(rdfs_subpropertyof_reflex) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 65 (all P all Q all R (iext(uri_rdfs_subPropertyOf,P,Q) & iext(uri_rdfs_subPropertyOf,Q,R) -> iext(uri_rdfs_subPropertyOf,P,R))) # label(rdfs_subpropertyof_trans) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 66 (all S all P all O (iext(P,S,O) -> ip(P))) # label(simple_iext_property) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 67 (all X ir(X)) # label(simple_ir) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 68 (all X (lv(X) -> ir(X))) # label(simple_lv) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 69 (exists BNODE_x exists BNODE_y exists BNODE_l1 exists BNODE_l2 (iext(uri_rdf_type,uri_ex_A,uri_owl_Class) & iext(uri_rdf_type,uri_ex_B,uri_owl_Class) & iext(uri_rdf_type,uri_ex_w,BNODE_x) & iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1) & iext(uri_rdf_first,BNODE_l1,uri_ex_A) & iext(uri_rdf_rest,BNODE_l1,BNODE_l2) & iext(uri_rdf_first,BNODE_l2,BNODE_y) & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) & iext(uri_owl_complementOf,BNODE_y,uri_ex_A))) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04
% 0.77/1.04 ============================== end of process non-clausal formulas ===
% 0.77/1.04
% 0.77/1.04 ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.04
% 0.77/1.04 ============================== PREDICATE ELIMINATION =================
% 0.77/1.04 70 -iext(uri_owl_intersectionOf,A,uri_rdf_nil) | icext(A,B) | -ir(B) # label(owl_bool_intersectionof_class_000) # label(axiom). [clausify(2)].
% 0.77/1.04 71 -iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -icext(A,B) | ir(B) # label(owl_bool_intersectionof_class_000) # label(axiom). [clausify(2)].
% 0.77/1.04 Derived: -iext(uri_owl_intersectionOf,A,uri_rdf_nil) | icext(A,B) | -iext(uri_owl_intersectionOf,C,uri_rdf_nil) | -icext(C,B). [resolve(70,c,71,c)].
% 0.77/1.04 72 iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | icext(A,f1(A)) | ir(f1(A)) # label(owl_bool_intersectionof_class_000) # label(axiom). [clausify(2)].
% 0.77/1.04 Derived: iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | icext(A,f1(A)) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,f1(A)). [resolve(72,d,70,c)].
% 0.77/1.04 73 iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | -icext(A,f1(A)) | -ir(f1(A)) # label(owl_bool_intersectionof_class_000) # label(axiom). [clausify(2)].
% 0.77/1.04 Derived: iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | -icext(A,f1(A)) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | -icext(B,f1(A)). [resolve(73,d,71,c)].
% 0.77/1.04 74 -icext(uri_owl_Thing,A) | ir(A) # label(owl_class_thing_ext) # label(axiom). [clausify(11)].
% 0.77/1.04 Derived: -icext(uri_owl_Thing,A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(74,b,70,c)].
% 0.77/1.04 Derived: -icext(uri_owl_Thing,f1(A)) | iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | -icext(A,f1(A)). [resolve(74,b,73,d)].
% 0.77/1.04 75 icext(uri_owl_Thing,A) | -ir(A) # label(owl_class_thing_ext) # label(axiom). [clausify(11)].
% 0.77/1.04 Derived: icext(uri_owl_Thing,A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | -icext(B,A). [resolve(75,b,71,c)].
% 0.77/1.04 Derived: icext(uri_owl_Thing,f1(A)) | iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | icext(A,f1(A)). [resolve(75,b,72,d)].
% 0.77/1.04 76 -ic(A) | -icext(A,B) | ir(B) # label(owl_parts_ic_cond_inst) # label(axiom). [clausify(12)].
% 0.77/1.05 Derived: -ic(A) | -icext(A,B) | -iext(uri_owl_intersectionOf,C,uri_rdf_nil) | icext(C,B). [resolve(76,c,70,c)].
% 0.77/1.05 Derived: -ic(A) | -icext(A,f1(B)) | iext(uri_owl_intersectionOf,B,uri_rdf_nil) | -ic(B) | -icext(B,f1(B)). [resolve(76,c,73,d)].
% 0.77/1.05 Derived: -ic(A) | -icext(A,B) | icext(uri_owl_Thing,B). [resolve(76,c,75,b)].
% 0.77/1.05 77 -ic(A) | ir(A) # label(owl_parts_ic_cond_set) # label(axiom). [clausify(13)].
% 0.77/1.05 Derived: -ic(A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(77,b,70,c)].
% 0.77/1.05 Derived: -ic(A) | icext(uri_owl_Thing,A). [resolve(77,b,75,b)].
% 0.77/1.05 78 -ioap(A) | -iext(A,B,C) | ir(B) # label(owl_parts_ioap_cond_inst) # label(axiom). [clausify(18)].
% 0.77/1.05 Derived: -ioap(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,B). [resolve(78,c,70,c)].
% 0.77/1.05 Derived: -ioap(A) | -iext(A,B,C) | icext(uri_owl_Thing,B). [resolve(78,c,75,b)].
% 0.77/1.05 79 -ioap(A) | -iext(A,B,C) | ir(C) # label(owl_parts_ioap_cond_inst) # label(axiom). [clausify(18)].
% 0.77/1.05 Derived: -ioap(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,C). [resolve(79,c,70,c)].
% 0.77/1.05 Derived: -ioap(A) | -iext(A,B,C) | icext(uri_owl_Thing,C). [resolve(79,c,75,b)].
% 0.77/1.05 80 -iodp(A) | -iext(A,B,C) | ir(B) # label(owl_parts_iodp_cond_inst) # label(axiom). [clausify(21)].
% 0.77/1.05 Derived: -iodp(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,B). [resolve(80,c,70,c)].
% 0.77/1.05 Derived: -iodp(A) | -iext(A,B,C) | icext(uri_owl_Thing,B). [resolve(80,c,75,b)].
% 0.77/1.05 81 -ip(A) | -iext(A,B,C) | ir(B) # label(owl_parts_ip_cond_inst) # label(axiom). [clausify(27)].
% 0.77/1.05 Derived: -ip(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,B). [resolve(81,c,70,c)].
% 0.77/1.05 Derived: -ip(A) | -iext(A,B,C) | icext(uri_owl_Thing,B). [resolve(81,c,75,b)].
% 0.77/1.05 82 -ip(A) | -iext(A,B,C) | ir(C) # label(owl_parts_ip_cond_inst) # label(axiom). [clausify(27)].
% 0.77/1.05 Derived: -ip(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,C). [resolve(82,c,70,c)].
% 0.77/1.05 Derived: -ip(A) | -iext(A,B,C) | icext(uri_owl_Thing,C). [resolve(82,c,75,b)].
% 0.77/1.05 83 -ip(A) | ir(A) # label(owl_parts_ip_cond_set) # label(axiom). [clausify(28)].
% 0.77/1.05 Derived: -ip(A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(83,b,70,c)].
% 0.77/1.05 Derived: -ip(A) | icext(uri_owl_Thing,A). [resolve(83,b,75,b)].
% 0.77/1.05 84 ir(c1) # label(owl_parts_ir_cond_set) # label(axiom). [clausify(30)].
% 0.77/1.05 Derived: -iext(uri_owl_intersectionOf,A,uri_rdf_nil) | icext(A,c1). [resolve(84,a,70,c)].
% 0.77/1.05 Derived: icext(uri_owl_Thing,c1). [resolve(84,a,75,b)].
% 0.77/1.05 85 -ir(A) | iext(uri_rdf_type,A,uri_rdfs_Resource) # label(owl_parts_ir_def) # label(axiom). [clausify(31)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | -icext(B,A). [resolve(85,a,71,c)].
% 0.77/1.05 Derived: iext(uri_rdf_type,f1(A),uri_rdfs_Resource) | iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | icext(A,f1(A)). [resolve(85,a,72,d)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -icext(uri_owl_Thing,A). [resolve(85,a,74,b)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -ic(B) | -icext(B,A). [resolve(85,a,76,c)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -ic(A). [resolve(85,a,77,b)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -ioap(B) | -iext(B,A,C). [resolve(85,a,78,c)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -ioap(B) | -iext(B,C,A). [resolve(85,a,79,c)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -iodp(B) | -iext(B,A,C). [resolve(85,a,80,c)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -ip(B) | -iext(B,A,C). [resolve(85,a,81,c)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -ip(B) | -iext(B,C,A). [resolve(85,a,82,c)].
% 0.77/1.05 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource) | -ip(A). [resolve(85,a,83,b)].
% 0.77/1.05 Derived: iext(uri_rdf_type,c1,uri_rdfs_Resource). [resolve(85,a,84,a)].
% 0.77/1.05 86 ir(A) | -iext(uri_rdf_type,A,uri_rdfs_Resource) # label(owl_parts_ir_def) # label(axiom). [clausify(31)].
% 0.77/1.05 Derived: -iext(uri_rdf_type,A,uri_rdfs_Resource) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(86,a,70,c)].
% 0.77/1.06 Derived: -iext(uri_rdf_type,A,uri_rdfs_Resource) | icext(uri_owl_Thing,A). [resolve(86,a,75,b)].
% 0.77/1.06 87 -ix(A) | ir(A) # label(owl_parts_ix_cond_set) # label(axiom). [clausify(32)].
% 0.77/1.06 Derived: -ix(A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(87,b,70,c)].
% 0.77/1.06 Derived: -ix(A) | icext(uri_owl_Thing,A). [resolve(87,b,75,b)].
% 0.77/1.06 Derived: -ix(A) | iext(uri_rdf_type,A,uri_rdfs_Resource). [resolve(87,b,85,a)].
% 0.77/1.06 88 -lv(A) | ir(A) # label(owl_parts_lv_cond_set) # label(axiom). [clausify(34)].
% 0.77/1.06 Derived: -lv(A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(88,b,70,c)].
% 0.77/1.06 Derived: -lv(A) | icext(uri_owl_Thing,A). [resolve(88,b,75,b)].
% 0.77/1.06 Derived: -lv(A) | iext(uri_rdf_type,A,uri_rdfs_Resource). [resolve(88,b,85,a)].
% 0.77/1.06 89 -iext(uri_owl_hasValue,A,B) | ir(B) # label(owl_prop_hasvalue_ext) # label(axiom). [clausify(38)].
% 0.77/1.06 Derived: -iext(uri_owl_hasValue,A,B) | -iext(uri_owl_intersectionOf,C,uri_rdf_nil) | icext(C,B). [resolve(89,b,70,c)].
% 0.77/1.06 Derived: -iext(uri_owl_hasValue,A,B) | icext(uri_owl_Thing,B). [resolve(89,b,75,b)].
% 0.77/1.06 Derived: -iext(uri_owl_hasValue,A,B) | iext(uri_rdf_type,B,uri_rdfs_Resource). [resolve(89,b,85,a)].
% 0.77/1.06 90 -ir(A) | icext(uri_rdfs_Resource,A) # label(rdfs_ir_def) # label(axiom). [clausify(57)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | -icext(B,A). [resolve(90,a,71,c)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,f1(A)) | iext(uri_owl_intersectionOf,A,uri_rdf_nil) | -ic(A) | icext(A,f1(A)). [resolve(90,a,72,d)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -icext(uri_owl_Thing,A). [resolve(90,a,74,b)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ic(B) | -icext(B,A). [resolve(90,a,76,c)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ic(A). [resolve(90,a,77,b)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ioap(B) | -iext(B,A,C). [resolve(90,a,78,c)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ioap(B) | -iext(B,C,A). [resolve(90,a,79,c)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -iodp(B) | -iext(B,A,C). [resolve(90,a,80,c)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ip(B) | -iext(B,A,C). [resolve(90,a,81,c)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ip(B) | -iext(B,C,A). [resolve(90,a,82,c)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ip(A). [resolve(90,a,83,b)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,c1). [resolve(90,a,84,a)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -iext(uri_rdf_type,A,uri_rdfs_Resource). [resolve(90,a,86,a)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -ix(A). [resolve(90,a,87,b)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -lv(A). [resolve(90,a,88,b)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A) | -iext(uri_owl_hasValue,B,A). [resolve(90,a,89,b)].
% 0.77/1.06 91 ir(A) | -icext(uri_rdfs_Resource,A) # label(rdfs_ir_def) # label(axiom). [clausify(57)].
% 0.77/1.06 Derived: -icext(uri_rdfs_Resource,A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(91,a,70,c)].
% 0.77/1.06 Derived: -icext(uri_rdfs_Resource,A) | icext(uri_owl_Thing,A). [resolve(91,a,75,b)].
% 0.77/1.06 Derived: -icext(uri_rdfs_Resource,A) | iext(uri_rdf_type,A,uri_rdfs_Resource). [resolve(91,a,85,a)].
% 0.77/1.06 92 ir(A) # label(simple_ir) # label(axiom). [clausify(67)].
% 0.77/1.06 Derived: -iext(uri_owl_intersectionOf,A,uri_rdf_nil) | icext(A,B). [resolve(92,a,70,c)].
% 0.77/1.06 Derived: icext(uri_owl_Thing,A). [resolve(92,a,75,b)].
% 0.77/1.06 Derived: iext(uri_rdf_type,A,uri_rdfs_Resource). [resolve(92,a,85,a)].
% 0.77/1.06 Derived: icext(uri_rdfs_Resource,A). [resolve(92,a,90,a)].
% 0.77/1.06 93 -lv(A) | ir(A) # label(simple_lv) # label(axiom). [clausify(68)].
% 0.77/1.06 94 idc(A) | -iext(uri_rdf_type,A,uri_rdfs_Datatype) # label(owl_parts_idc_def) # label(axiom). [clausify(17)].
% 0.77/1.06 95 -idc(A) | -icext(A,B) | lv(B) # label(owl_parts_idc_cond_inst) # label(axiom). [clausify(15)].
% 0.77/1.06 96 -idc(A) | ic(A) # label(owl_parts_idc_cond_set) # label(axiom). [clausify(16)].
% 0.77/1.06 97 -idc(A) | iext(uri_rdf_type,A,uri_rdfs_Datatype) # label(owl_parts_idc_def) # label(axiom). [clausify(17)].
% 0.77/1.06 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | lv(B). [resolve(94,a,95,a)].
% 0.77/1.06 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | ic(A). [resolve(94,a,96,a)].
% 0.77/1.06 98 ioap(A) | -iext(uri_rdf_type,A,uri_owl_AnnotationProperty) # label(owl_parts_ioap_def) # label(axiom). [clausify(20)].
% 0.77/1.09 99 -ioap(A) | ip(A) # label(owl_parts_ioap_cond_set) # label(axiom). [clausify(19)].
% 0.77/1.09 100 -ioap(A) | iext(uri_rdf_type,A,uri_owl_AnnotationProperty) # label(owl_parts_ioap_def) # label(axiom). [clausify(20)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_AnnotationProperty) | ip(A). [resolve(98,a,99,a)].
% 0.77/1.09 101 -ioap(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,B). [resolve(78,c,70,c)].
% 0.77/1.09 102 -ioap(A) | -iext(A,B,C) | icext(uri_owl_Thing,B). [resolve(78,c,75,b)].
% 0.77/1.09 103 -ioap(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,C). [resolve(79,c,70,c)].
% 0.77/1.09 104 -ioap(A) | -iext(A,B,C) | icext(uri_owl_Thing,C). [resolve(79,c,75,b)].
% 0.77/1.09 105 iext(uri_rdf_type,A,uri_rdfs_Resource) | -ioap(B) | -iext(B,A,C). [resolve(85,a,78,c)].
% 0.77/1.09 106 iext(uri_rdf_type,A,uri_rdfs_Resource) | -ioap(B) | -iext(B,C,A). [resolve(85,a,79,c)].
% 0.77/1.09 107 icext(uri_rdfs_Resource,A) | -ioap(B) | -iext(B,A,C). [resolve(90,a,78,c)].
% 0.77/1.09 108 icext(uri_rdfs_Resource,A) | -ioap(B) | -iext(B,C,A). [resolve(90,a,79,c)].
% 0.77/1.09 109 iodp(A) | -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) # label(owl_parts_iodp_def) # label(axiom). [clausify(23)].
% 0.77/1.09 110 -iodp(A) | -iext(A,B,C) | lv(C) # label(owl_parts_iodp_cond_inst) # label(axiom). [clausify(21)].
% 0.77/1.09 111 -iodp(A) | ip(A) # label(owl_parts_iodp_cond_set) # label(axiom). [clausify(22)].
% 0.77/1.09 112 -iodp(A) | iext(uri_rdf_type,A,uri_owl_DatatypeProperty) # label(owl_parts_iodp_def) # label(axiom). [clausify(23)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | lv(C). [resolve(109,a,110,a)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | ip(A). [resolve(109,a,111,a)].
% 0.77/1.09 113 -iodp(A) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,B). [resolve(80,c,70,c)].
% 0.77/1.09 114 -iodp(A) | -iext(A,B,C) | icext(uri_owl_Thing,B). [resolve(80,c,75,b)].
% 0.77/1.09 115 iext(uri_rdf_type,A,uri_rdfs_Resource) | -iodp(B) | -iext(B,A,C). [resolve(85,a,80,c)].
% 0.77/1.09 116 icext(uri_rdfs_Resource,A) | -iodp(B) | -iext(B,A,C). [resolve(90,a,80,c)].
% 0.77/1.09 117 ioxp(A) | -iext(uri_rdf_type,A,uri_owl_OntologyProperty) # label(owl_parts_ioxp_def) # label(axiom). [clausify(26)].
% 0.77/1.09 118 -ioxp(A) | -iext(A,B,C) | ix(B) # label(owl_parts_ioxp_cond_inst) # label(axiom). [clausify(24)].
% 0.77/1.09 119 -ioxp(A) | -iext(A,B,C) | ix(C) # label(owl_parts_ioxp_cond_inst) # label(axiom). [clausify(24)].
% 0.77/1.09 120 -ioxp(A) | ip(A) # label(owl_parts_ioxp_cond_set) # label(axiom). [clausify(25)].
% 0.77/1.09 121 -ioxp(A) | iext(uri_rdf_type,A,uri_owl_OntologyProperty) # label(owl_parts_ioxp_def) # label(axiom). [clausify(26)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | ix(B). [resolve(117,a,118,a)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | ix(C). [resolve(117,a,119,a)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | ip(A). [resolve(117,a,120,a)].
% 0.77/1.09 122 ix(A) | -iext(uri_rdf_type,A,uri_owl_Ontology) # label(owl_parts_ix_def) # label(axiom). [clausify(33)].
% 0.77/1.09 123 -ix(A) | iext(uri_rdf_type,A,uri_owl_Ontology) # label(owl_parts_ix_def) # label(axiom). [clausify(33)].
% 0.77/1.09 124 -ix(A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(87,b,70,c)].
% 0.77/1.09 125 -ix(A) | icext(uri_owl_Thing,A). [resolve(87,b,75,b)].
% 0.77/1.09 126 -ix(A) | iext(uri_rdf_type,A,uri_rdfs_Resource). [resolve(87,b,85,a)].
% 0.77/1.09 127 icext(uri_rdfs_Resource,A) | -ix(A). [resolve(90,a,87,b)].
% 0.77/1.09 128 -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | ix(B). [resolve(117,a,118,a)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | iext(uri_rdf_type,B,uri_owl_Ontology). [resolve(128,c,123,a)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,B). [resolve(128,c,124,a)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | icext(uri_owl_Thing,B). [resolve(128,c,125,a)].
% 0.77/1.09 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | iext(uri_rdf_type,B,uri_rdfs_Resource). [resolve(128,c,126,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | icext(uri_rdfs_Resource,B). [resolve(128,c,127,b)].
% 1.12/1.40 129 -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | ix(C). [resolve(117,a,119,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | iext(uri_rdf_type,C,uri_owl_Ontology). [resolve(129,c,123,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,C). [resolve(129,c,124,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | icext(uri_owl_Thing,C). [resolve(129,c,125,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | iext(uri_rdf_type,C,uri_rdfs_Resource). [resolve(129,c,126,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_OntologyProperty) | -iext(A,B,C) | icext(uri_rdfs_Resource,C). [resolve(129,c,127,b)].
% 1.12/1.40 130 lv(A) | -iext(uri_rdf_type,A,uri_rdfs_Literal) # label(owl_parts_lv_def) # label(axiom). [clausify(35)].
% 1.12/1.40 131 -lv(A) | iext(uri_rdf_type,A,uri_rdfs_Literal) # label(owl_parts_lv_def) # label(axiom). [clausify(35)].
% 1.12/1.40 132 -lv(A) | icext(uri_rdfs_Literal,A) # label(rdfs_lv_def) # label(axiom). [clausify(58)].
% 1.12/1.40 Derived: icext(uri_rdfs_Literal,A) | -iext(uri_rdf_type,A,uri_rdfs_Literal). [resolve(132,a,130,a)].
% 1.12/1.40 133 lv(A) | -icext(uri_rdfs_Literal,A) # label(rdfs_lv_def) # label(axiom). [clausify(58)].
% 1.12/1.40 Derived: -icext(uri_rdfs_Literal,A) | iext(uri_rdf_type,A,uri_rdfs_Literal). [resolve(133,a,131,a)].
% 1.12/1.40 134 -lv(A) | -iext(uri_owl_intersectionOf,B,uri_rdf_nil) | icext(B,A). [resolve(88,b,70,c)].
% 1.12/1.40 135 -lv(A) | icext(uri_owl_Thing,A). [resolve(88,b,75,b)].
% 1.12/1.40 136 -lv(A) | iext(uri_rdf_type,A,uri_rdfs_Resource). [resolve(88,b,85,a)].
% 1.12/1.40 137 icext(uri_rdfs_Resource,A) | -lv(A). [resolve(90,a,88,b)].
% 1.12/1.40 138 -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | lv(B). [resolve(94,a,95,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | iext(uri_rdf_type,B,uri_rdfs_Literal). [resolve(138,c,131,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | icext(uri_rdfs_Literal,B). [resolve(138,c,132,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | -iext(uri_owl_intersectionOf,C,uri_rdf_nil) | icext(C,B). [resolve(138,c,134,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | icext(uri_owl_Thing,B). [resolve(138,c,135,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | iext(uri_rdf_type,B,uri_rdfs_Resource). [resolve(138,c,136,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_rdfs_Datatype) | -icext(A,B) | icext(uri_rdfs_Resource,B). [resolve(138,c,137,b)].
% 1.12/1.40 139 -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | lv(C). [resolve(109,a,110,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | iext(uri_rdf_type,C,uri_rdfs_Literal). [resolve(139,c,131,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | icext(uri_rdfs_Literal,C). [resolve(139,c,132,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | -iext(uri_owl_intersectionOf,D,uri_rdf_nil) | icext(D,C). [resolve(139,c,134,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | icext(uri_owl_Thing,C). [resolve(139,c,135,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | iext(uri_rdf_type,C,uri_rdfs_Resource). [resolve(139,c,136,a)].
% 1.12/1.40 Derived: -iext(uri_rdf_type,A,uri_owl_DatatypeProperty) | -iext(A,B,C) | icext(uri_rdfs_Resource,C). [resolve(139,c,137,b)].
% 1.12/1.40
% 1.12/1.40 ============================== end predicate elimination =============
% 1.12/1.40
% 1.12/1.40 Auto_denials: (non-Horn, no changes).
% 1.12/1.40
% 1.12/1.40 Term ordering decisions:
% 1.12/1.40 Function symbol KB weights: uri_rdf_first=1. uri_rdf_rest=1. uri_rdf_nil=1. uri_rdf_type=1. uri_owl_intersectionOf=1. uri_rdfs_Resource=1. uri_owl_unionOf=1. uri_rdfs_domain=1. uri_rdfs_range=1. uri_rdfs_subClassOf=1. uri_owl_Thing=1. uri_rdf_Property=1. uri_rdfs_subPropertyOf=1. uri_rdfs_Literal=1. uri_owl_OntologyProperty=1. uri_owl_onProperty=1. uri_rdfs_Class=1. uri_rdfs_Datatype=1. uri_owl_hasValue=1. uri_owl_DatatypeProperty=1. uri_owl_complementOf=1. uri_owl_allValuesFrom=1. uri_owl_someValuesFrom=1. uri_rdf_List=1. uri_rdfs_ContainerMembershipProperty=1. uri_owl_Restriction=1. uri_rdf__1=1. uri_rdf__2=1. uri_rdf__3=1. uri_ex_A=1. uri_rdf_predicate=1. uri_rdf_subject=1. uri_rdf_value=1. uri_rdfs_Container=1. uri_rdfs_Statement=1. uri_rdfs_isDefinedBy=1. uri_rdfs_member=1. uri_rdfs_seeAlso=1. uri_owl_Class=1. uri_owl_Ontology=1. uri_rdf_XMLLiteral=1. uri_rdf_object=1. uri_rdfs_comment=1. uri_rdfs_label=1. uri_ex_B=1. uri_ex_w=1. uri_owl_AnnotationProperty=1. uri_owl_Nothing=1. uri_rdf_Alt=1. uri_rdf_Bag=1. uri_rdfs_Seq=1. c1=1. c2=1. c3=1. c4=1. c5=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f1=1. f5=1. f2=1. f6=1. f16=1. f17=1. f3=1. f7=1. f4=1. f8=1.
% 3.95/4.21
% 3.95/4.21 ============================== end of process initial clauses ========
% 3.95/4.21
% 3.95/4.21 ============================== CLAUSES FOR SEARCH ====================
% 3.95/4.21
% 3.95/4.21 ============================== end of clauses for search =============
% 3.95/4.21
% 3.95/4.21 ============================== SEARCH ================================
% 3.95/4.21
% 3.95/4.21 % Starting search at 0.38 seconds.
% 3.95/4.21
% 3.95/4.21 Low Water (keep): wt=62.000, iters=3716
% 3.95/4.21
% 3.95/4.21 Low Water (keep): wt=54.000, iters=3506
% 3.95/4.21
% 3.95/4.21 Low Water (keep): wt=50.000, iters=3359
% 3.95/4.21
% 3.95/4.21 Low Water (keep): wt=48.000, iters=3342
% 3.95/4.21
% 3.95/4.21 Low Water (keep): wt=46.000, iters=3368
% 3.95/4.21
% 3.95/4.21 Low Water (keep): wt=44.000, iters=3380
% 3.95/4.21
% 3.95/4.21 Low Water (keep): wt=42.000, iters=3363
% 3.95/4.21
% 3.95/4.21 ============================== PROOF =================================
% 3.95/4.21 % SZS status Theorem
% 3.95/4.21 % SZS output start Refutation
% 3.95/4.21
% 3.95/4.21 % Proof 1 at 3.15 (+ 0.04) seconds.
% 3.95/4.21 % Length of proof is 45.
% 3.95/4.21 % Level of proof is 9.
% 3.95/4.21 % Maximum clause weight is 26.000.
% 3.95/4.21 % Given clauses 2891.
% 3.95/4.21
% 3.95/4.21 1 (all Z all C (iext(uri_owl_complementOf,Z,C) -> ic(Z) & ic(C) & (all X (icext(Z,X) <-> -icext(C,X))))) # label(owl_bool_complementof_class) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 4 (all Z all S1 all C1 all S2 all C2 (iext(uri_rdf_first,S1,C1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,C2) & iext(uri_rdf_rest,S2,uri_rdf_nil) -> (iext(uri_owl_intersectionOf,Z,S1) <-> ic(Z) & ic(C1) & ic(C2) & (all X (icext(Z,X) <-> icext(C1,X) & icext(C2,X)))))) # label(owl_bool_intersectionof_class_002) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 6 (all Z (iext(uri_owl_unionOf,Z,uri_rdf_nil) <-> ic(Z) & (all X -icext(Z,X)))) # label(owl_bool_unionof_class_000) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 10 (all X -icext(uri_owl_Nothing,X)) # label(owl_class_nothing_ext) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 39 (all X all Y (iext(uri_owl_intersectionOf,X,Y) -> ic(X) & icext(uri_rdf_List,Y))) # label(owl_prop_intersectionof_ext) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 45 (all C1 all C2 (iext(uri_rdfs_subClassOf,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) -> icext(C2,X))))) # label(owl_rdfsext_subclassof) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 51 (all X all C (iext(uri_rdf_type,X,C) <-> icext(C,X))) # label(rdfs_cext_def) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 69 (exists BNODE_x exists BNODE_y exists BNODE_l1 exists BNODE_l2 (iext(uri_rdf_type,uri_ex_A,uri_owl_Class) & iext(uri_rdf_type,uri_ex_B,uri_owl_Class) & iext(uri_rdf_type,uri_ex_w,BNODE_x) & iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1) & iext(uri_rdf_first,BNODE_l1,uri_ex_A) & iext(uri_rdf_rest,BNODE_l1,BNODE_l2) & iext(uri_rdf_first,BNODE_l2,BNODE_y) & iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil) & iext(uri_owl_complementOf,BNODE_y,uri_ex_A))) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom) # label(non_clause). [assumption].
% 3.95/4.21 142 -iext(uri_owl_complementOf,A,B) | -icext(A,C) | -icext(B,C) # label(owl_bool_complementof_class) # label(axiom). [clausify(1)].
% 3.95/4.21 154 -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,C) | -iext(uri_rdf_first,C,D) | -iext(uri_rdf_rest,C,uri_rdf_nil) | -iext(uri_owl_intersectionOf,E,A) | -icext(E,F) | icext(B,F) # label(owl_bool_intersectionof_class_002) # label(axiom). [clausify(4)].
% 3.95/4.21 155 -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,C) | -iext(uri_rdf_first,C,D) | -iext(uri_rdf_rest,C,uri_rdf_nil) | -iext(uri_owl_intersectionOf,E,A) | -icext(E,F) | icext(D,F) # label(owl_bool_intersectionof_class_002) # label(axiom). [clausify(4)].
% 3.95/4.21 173 -iext(uri_owl_unionOf,A,uri_rdf_nil) | -icext(A,B) # label(owl_bool_unionof_class_000) # label(axiom). [clausify(6)].
% 3.95/4.21 174 iext(uri_owl_unionOf,A,uri_rdf_nil) | -ic(A) | icext(A,f5(A)) # label(owl_bool_unionof_class_000) # label(axiom). [clausify(6)].
% 3.95/4.21 202 -icext(uri_owl_Nothing,A) # label(owl_class_nothing_ext) # label(axiom). [clausify(10)].
% 3.95/4.21 203 ic(uri_owl_Nothing) # label(owl_class_nothing_type) # label(axiom). [assumption].
% 3.95/4.21 215 -iext(uri_owl_intersectionOf,A,B) | ic(A) # label(owl_prop_intersectionof_ext) # label(axiom). [clausify(39)].
% 3.95/4.21 239 -iext(uri_rdfs_subClassOf,A,B) | -icext(A,C) | icext(B,C) # label(owl_rdfsext_subclassof) # label(axiom). [clausify(45)].
% 3.95/4.21 240 iext(uri_rdfs_subClassOf,A,B) | -ic(A) | -ic(B) | icext(A,f13(A,B)) # label(owl_rdfsext_subclassof) # label(axiom). [clausify(45)].
% 3.95/4.21 274 -iext(uri_rdf_type,A,B) | icext(B,A) # label(rdfs_cext_def) # label(axiom). [clausify(51)].
% 3.95/4.21 328 iext(uri_rdf_type,uri_ex_w,c2) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom). [clausify(69)].
% 3.95/4.21 329 iext(uri_owl_intersectionOf,c2,c4) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom). [clausify(69)].
% 3.95/4.21 330 iext(uri_rdf_first,c4,uri_ex_A) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom). [clausify(69)].
% 3.95/4.21 331 iext(uri_rdf_rest,c4,c5) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom). [clausify(69)].
% 3.95/4.21 332 iext(uri_rdf_first,c5,c3) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom). [clausify(69)].
% 3.95/4.21 333 iext(uri_rdf_rest,c5,uri_rdf_nil) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom). [clausify(69)].
% 3.95/4.21 334 iext(uri_owl_complementOf,c3,uri_ex_A) # label(testcase_premise_fullish_029_Ex_Falso_Quodlibet) # label(axiom). [clausify(69)].
% 3.95/4.21 998 iext(uri_rdfs_subClassOf,A,uri_owl_Nothing) | -ic(A) | icext(A,f13(A,uri_owl_Nothing)). [resolve(240,c,203,a)].
% 3.95/4.21 1440 icext(c2,uri_ex_w). [resolve(328,a,274,a)].
% 3.95/4.21 1454 ic(c2). [resolve(329,a,215,a)].
% 3.95/4.21 1463 -iext(uri_rdf_first,c4,A) | -iext(uri_rdf_rest,c4,B) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_rest,B,uri_rdf_nil) | -icext(c2,D) | icext(C,D). [resolve(329,a,155,e)].
% 3.95/4.21 1464 -iext(uri_rdf_first,c4,A) | -iext(uri_rdf_rest,c4,B) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_rest,B,uri_rdf_nil) | -icext(c2,D) | icext(A,D). [resolve(329,a,154,e)].
% 3.95/4.21 4224 -icext(c3,A) | -icext(uri_ex_A,A). [resolve(334,a,142,a)].
% 3.95/4.21 6268 iext(uri_owl_unionOf,c2,uri_rdf_nil) | icext(c2,f5(c2)). [resolve(1454,a,174,b)].
% 3.95/4.21 7101 iext(uri_rdfs_subClassOf,c2,uri_owl_Nothing) | icext(c2,f13(c2,uri_owl_Nothing)). [resolve(998,b,1454,a)].
% 3.95/4.21 8966 icext(c2,f5(c2)) | -icext(c2,A). [resolve(6268,a,173,a)].
% 3.95/4.21 8967 icext(c2,f5(c2)). [resolve(8966,b,1440,a)].
% 3.95/4.21 9093 -iext(uri_rdf_first,c4,A) | -icext(c2,B) | icext(c3,B). [resolve(1463,c,332,a),unit_del(b,331),unit_del(c,333)].
% 3.95/4.21 9096 -iext(uri_rdf_first,c4,A) | -icext(c2,B) | icext(A,B). [resolve(1464,c,332,a),unit_del(b,331),unit_del(c,333)].
% 3.95/4.21 9416 icext(c2,f13(c2,uri_owl_Nothing)) | -icext(c2,A). [resolve(7101,a,239,a),unit_del(c,202)].
% 3.95/4.21 9417 icext(c2,f13(c2,uri_owl_Nothing)). [resolve(9416,b,8967,a)].
% 3.95/4.21 12618 -icext(c2,A) | icext(c3,A). [resolve(9093,a,330,a)].
% 3.95/4.21 12619 icext(c3,f13(c2,uri_owl_Nothing)). [resolve(12618,a,9417,a)].
% 3.95/4.21 12637 -icext(uri_ex_A,f13(c2,uri_owl_Nothing)). [resolve(12619,a,4224,a)].
% 3.95/4.21 12657 -icext(c2,A) | icext(uri_ex_A,A). [resolve(9096,a,330,a)].
% 3.95/4.21 12658 $F. [resolve(12657,a,9417,a),unit_del(a,12637)].
% 3.95/4.21
% 3.95/4.21 % SZS output end Refutation
% 3.95/4.21 ============================== end of proof ==========================
% 3.95/4.21
% 3.95/4.21 ============================== STATISTICS ============================
% 3.95/4.21
% 3.95/4.21 Given=2891. Generated=44739. Kept=12518. proofs=1.
% 3.95/4.21 Usable=2621. Sos=6117. Demods=0. Limbo=0, Disabled=4140. Hints=0.
% 3.95/4.21 Megabytes=22.11.
% 3.95/4.21 User_CPU=3.15, System_CPU=0.04, Wall_clock=4.
% 3.95/4.21
% 3.95/4.21 ============================== end of statistics =====================
% 3.95/4.21
% 3.95/4.21 ============================== end of search =========================
% 3.95/4.21
% 3.95/4.21 THEOREM PROVED
% 3.95/4.21 % SZS status Theorem
% 3.95/4.21
% 3.95/4.21 Exiting with 1 proof.
% 3.95/4.21
% 3.95/4.21 Process 27972 exit (max_proofs) Wed Jun 1 07:27:11 2022
% 3.95/4.21 Prover9 interrupted
%------------------------------------------------------------------------------