TSTP Solution File: SWB021+2 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWB021+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 19:18:52 EDT 2022
% Result : Theorem 4.24s 4.52s
% Output : Refutation 4.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWB021+2 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 1 10:06:51 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.47/1.02 ============================== Prover9 ===============================
% 0.47/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.47/1.02 Process 30780 was started by sandbox2 on n024.cluster.edu,
% 0.47/1.02 Wed Jun 1 10:06:51 2022
% 0.47/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30434_n024.cluster.edu".
% 0.47/1.02 ============================== end of head ===========================
% 0.47/1.02
% 0.47/1.02 ============================== INPUT =================================
% 0.47/1.02
% 0.47/1.02 % Reading from file /tmp/Prover9_30434_n024.cluster.edu
% 0.47/1.02
% 0.47/1.02 set(prolog_style_variables).
% 0.47/1.02 set(auto2).
% 0.47/1.02 % set(auto2) -> set(auto).
% 0.47/1.02 % set(auto) -> set(auto_inference).
% 0.47/1.02 % set(auto) -> set(auto_setup).
% 0.47/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.47/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.47/1.02 % set(auto) -> set(auto_limits).
% 0.47/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.47/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.47/1.02 % set(auto) -> set(auto_denials).
% 0.47/1.02 % set(auto) -> set(auto_process).
% 0.47/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.47/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.47/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.47/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.47/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.47/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.47/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.47/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.47/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.47/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.47/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.47/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.47/1.02 % set(auto2) -> assign(stats, some).
% 0.47/1.02 % set(auto2) -> clear(echo_input).
% 0.47/1.02 % set(auto2) -> set(quiet).
% 0.47/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.47/1.02 % set(auto2) -> clear(print_given).
% 0.47/1.02 assign(lrs_ticks,-1).
% 0.47/1.02 assign(sos_limit,10000).
% 0.47/1.02 assign(order,kbo).
% 0.47/1.02 set(lex_order_vars).
% 0.47/1.02 clear(print_given).
% 0.47/1.02
% 0.47/1.02 % formulas(sos). % not echoed (8 formulas)
% 0.47/1.02
% 0.47/1.02 ============================== end of input ==========================
% 0.47/1.02
% 0.47/1.02 % From the command line: assign(max_seconds, 300).
% 0.47/1.02
% 0.47/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.47/1.02
% 0.47/1.02 % Formulas that are not ordinary clauses:
% 0.47/1.02 1 (all X all Y (iext(uri_owl_oneOf,X,Y) -> ic(X) & icext(uri_rdf_List,Y))) # label(owl_prop_oneof_ext) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.02 2 (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].
% 0.47/1.02 3 (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].
% 0.47/1.02 4 (all Z all S1 all A1 all S2 all A2 (iext(uri_rdf_first,S1,A1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S2,uri_rdf_nil) -> (iext(uri_owl_oneOf,Z,S1) <-> ic(Z) & (all X (icext(Z,X) <-> X = A1 | X = A2))))) # label(owl_enum_class_002) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.02 5 (all Z all S1 all A1 all S2 all A2 all S3 all A3 (iext(uri_rdf_first,S1,A1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_first,S3,A3) & iext(uri_rdf_rest,S3,uri_rdf_nil) -> (iext(uri_owl_oneOf,Z,S1) <-> ic(Z) & (all X (icext(Z,X) <-> X = A1 | X = A2 | X = A3))))) # label(owl_enum_class_003) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.02 6 (all C1 all C2 (iext(uri_owl_equivalentClass,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) <-> icext(C2,X))))) # label(owl_eqdis_equivalentclass) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.02 7 (exists BNODE_l11 exists BNODE_l12 exists BNODE_l21 exists BNODE_l22 exists BNODE_l31 exists BNODE_l32 exists BNODE_l33 exists BNODE_l41 exists BNODE_l42 (iext(uri_owl_oneOf,uri_ex_c1,BNODE_l11) & iext(uri_rdf_first,BNODE_l11,uri_ex_w1) & iext(uri_rdf_rest,BNODE_l11,BNODE_l12) & iext(uri_rdf_first,BNODE_l12,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil) & iext(uri_owl_oneOf,uri_ex_c2,BNODE_l21) & iext(uri_rdf_first,BNODE_l21,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l21,BNODE_l22) & iext(uri_rdf_first,BNODE_l22,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil) & iext(uri_owl_oneOf,uri_ex_c3,BNODE_l31) & iext(uri_rdf_first,BNODE_l31,uri_ex_w1) & iext(uri_rdf_rest,BNODE_l31,BNODE_l32) & iext(uri_rdf_first,BNODE_l32,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l32,BNODE_l33) & iext(uri_rdf_first,BNODE_l33,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) & iext(uri_owl_unionOf,uri_ex_c4,BNODE_l41) & iext(uri_rdf_first,BNODE_l41,uri_ex_c1) & iext(uri_rdf_rest,BNODE_l41,BNODE_l42) & iext(uri_rdf_first,BNODE_l42,uri_ex_c2) & iext(uri_rdf_rest,BNODE_l42,uri_rdf_nil))) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom) # label(non_clause). [assumption].
% 4.24/4.52
% 4.24/4.52 ============================== end of process non-clausal formulas ===
% 4.24/4.52
% 4.24/4.52 ============================== PROCESS INITIAL CLAUSES ===============
% 4.24/4.52
% 4.24/4.52 ============================== PREDICATE ELIMINATION =================
% 4.24/4.52
% 4.24/4.52 ============================== end predicate elimination =============
% 4.24/4.52
% 4.24/4.52 Auto_denials: (non-Horn, no changes).
% 4.24/4.52
% 4.24/4.52 Term ordering decisions:
% 4.24/4.52 Function symbol KB weights: uri_rdf_first=1. uri_rdf_rest=1. uri_rdf_nil=1. uri_owl_oneOf=1. uri_owl_unionOf=1. uri_owl_equivalentClass=1. uri_ex_w2=1. uri_ex_c1=1. uri_ex_c2=1. uri_ex_w1=1. uri_ex_w3=1. uri_rdf_List=1. uri_ex_c3=1. uri_ex_c4=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. f4=1. f1=1. f2=1. f3=1.
% 4.24/4.52
% 4.24/4.52 ============================== end of process initial clauses ========
% 4.24/4.52
% 4.24/4.52 ============================== CLAUSES FOR SEARCH ====================
% 4.24/4.52
% 4.24/4.52 ============================== end of clauses for search =============
% 4.24/4.52
% 4.24/4.52 ============================== SEARCH ================================
% 4.24/4.52
% 4.24/4.52 % Starting search at 0.05 seconds.
% 4.24/4.52
% 4.24/4.52 ============================== PROOF =================================
% 4.24/4.52 % SZS status Theorem
% 4.24/4.52 % SZS output start Refutation
% 4.24/4.52
% 4.24/4.52 % Proof 1 at 3.49 (+ 0.02) seconds.
% 4.24/4.52 % Length of proof is 114.
% 4.24/4.52 % Level of proof is 14.
% 4.24/4.52 % Maximum clause weight is 40.000.
% 4.24/4.52 % Given clauses 4323.
% 4.24/4.52
% 4.24/4.52 1 (all X all Y (iext(uri_owl_oneOf,X,Y) -> ic(X) & icext(uri_rdf_List,Y))) # label(owl_prop_oneof_ext) # label(axiom) # label(non_clause). [assumption].
% 4.24/4.52 2 (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].
% 4.24/4.52 3 (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].
% 4.24/4.52 4 (all Z all S1 all A1 all S2 all A2 (iext(uri_rdf_first,S1,A1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S2,uri_rdf_nil) -> (iext(uri_owl_oneOf,Z,S1) <-> ic(Z) & (all X (icext(Z,X) <-> X = A1 | X = A2))))) # label(owl_enum_class_002) # label(axiom) # label(non_clause). [assumption].
% 4.24/4.52 5 (all Z all S1 all A1 all S2 all A2 all S3 all A3 (iext(uri_rdf_first,S1,A1) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_first,S3,A3) & iext(uri_rdf_rest,S3,uri_rdf_nil) -> (iext(uri_owl_oneOf,Z,S1) <-> ic(Z) & (all X (icext(Z,X) <-> X = A1 | X = A2 | X = A3))))) # label(owl_enum_class_003) # label(axiom) # label(non_clause). [assumption].
% 4.24/4.52 6 (all C1 all C2 (iext(uri_owl_equivalentClass,C1,C2) <-> ic(C1) & ic(C2) & (all X (icext(C1,X) <-> icext(C2,X))))) # label(owl_eqdis_equivalentclass) # label(axiom) # label(non_clause). [assumption].
% 4.24/4.52 7 (exists BNODE_l11 exists BNODE_l12 exists BNODE_l21 exists BNODE_l22 exists BNODE_l31 exists BNODE_l32 exists BNODE_l33 exists BNODE_l41 exists BNODE_l42 (iext(uri_owl_oneOf,uri_ex_c1,BNODE_l11) & iext(uri_rdf_first,BNODE_l11,uri_ex_w1) & iext(uri_rdf_rest,BNODE_l11,BNODE_l12) & iext(uri_rdf_first,BNODE_l12,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil) & iext(uri_owl_oneOf,uri_ex_c2,BNODE_l21) & iext(uri_rdf_first,BNODE_l21,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l21,BNODE_l22) & iext(uri_rdf_first,BNODE_l22,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil) & iext(uri_owl_oneOf,uri_ex_c3,BNODE_l31) & iext(uri_rdf_first,BNODE_l31,uri_ex_w1) & iext(uri_rdf_rest,BNODE_l31,BNODE_l32) & iext(uri_rdf_first,BNODE_l32,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l32,BNODE_l33) & iext(uri_rdf_first,BNODE_l33,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) & iext(uri_owl_unionOf,uri_ex_c4,BNODE_l41) & iext(uri_rdf_first,BNODE_l41,uri_ex_c1) & iext(uri_rdf_rest,BNODE_l41,BNODE_l42) & iext(uri_rdf_first,BNODE_l42,uri_ex_c2) & iext(uri_rdf_rest,BNODE_l42,uri_rdf_nil))) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom) # label(non_clause). [assumption].
% 4.24/4.52 8 iext(uri_owl_oneOf,uri_ex_c1,c1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 9 iext(uri_rdf_first,c1,uri_ex_w1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 10 iext(uri_rdf_rest,c1,c2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 11 iext(uri_rdf_first,c2,uri_ex_w2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 12 iext(uri_rdf_rest,c2,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 13 iext(uri_owl_oneOf,uri_ex_c2,c3) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 14 iext(uri_rdf_first,c3,uri_ex_w2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 15 iext(uri_rdf_rest,c3,c4) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 16 iext(uri_rdf_first,c4,uri_ex_w3) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 17 iext(uri_rdf_rest,c4,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 18 iext(uri_owl_oneOf,uri_ex_c3,c5) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 19 iext(uri_rdf_first,c5,uri_ex_w1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 20 iext(uri_rdf_rest,c5,c6) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 21 iext(uri_rdf_first,c6,uri_ex_w2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 22 iext(uri_rdf_rest,c6,c7) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 23 iext(uri_rdf_first,c7,uri_ex_w3) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 24 iext(uri_rdf_rest,c7,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 25 iext(uri_owl_unionOf,uri_ex_c4,c8) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 26 iext(uri_rdf_first,c8,uri_ex_c1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 27 iext(uri_rdf_rest,c8,c9) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 28 iext(uri_rdf_first,c9,uri_ex_c2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 29 iext(uri_rdf_rest,c9,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(7)].
% 4.24/4.52 30 -iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) # label(testcase_conclusion_fullish_021_Composite_Enumerations) # label(negated_conjecture). [assumption].
% 4.24/4.52 31 -iext(uri_owl_oneOf,A,B) | ic(A) # label(owl_prop_oneof_ext) # label(axiom). [clausify(1)].
% 4.24/4.52 32 -iext(uri_owl_unionOf,A,B) | ic(A) # label(owl_prop_unionof_ext) # label(axiom). [clausify(2)].
% 4.24/4.52 39 iext(uri_owl_equivalentClass,A,B) | -ic(A) | -ic(B) | icext(A,f4(A,B)) | icext(B,f4(A,B)) # label(owl_eqdis_equivalentclass) # label(axiom). [clausify(6)].
% 4.24/4.52 40 iext(uri_owl_equivalentClass,A,B) | -ic(A) | -ic(B) | -icext(A,f4(A,B)) | -icext(B,f4(A,B)) # label(owl_eqdis_equivalentclass) # label(axiom). [clausify(6)].
% 4.24/4.52 43 -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_unionOf,E,A) | icext(E,F) | -icext(B,F) # label(owl_bool_unionof_class_002) # label(axiom). [clausify(3)].
% 4.24/4.52 44 -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_unionOf,E,A) | icext(E,F) | -icext(D,F) # label(owl_bool_unionof_class_002) # label(axiom). [clausify(3)].
% 4.24/4.52 45 -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_oneOf,E,A) | icext(E,F) | B != F # label(owl_enum_class_002) # label(axiom). [clausify(4)].
% 4.24/4.52 46 -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_oneOf,E,A) | icext(E,F) | D != F # label(owl_enum_class_002) # label(axiom). [clausify(4)].
% 4.24/4.52 47 -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_unionOf,E,A) | -icext(E,F) | icext(B,F) | icext(D,F) # label(owl_bool_unionof_class_002) # label(axiom). [clausify(3)].
% 4.24/4.52 48 -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_oneOf,E,A) | -icext(E,F) | B = F | D = F # label(owl_enum_class_002) # label(axiom). [clausify(4)].
% 4.24/4.52 49 -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,C) | -iext(uri_rdf_first,C,D) | -iext(uri_rdf_rest,C,E) | -iext(uri_rdf_first,E,F) | -iext(uri_rdf_rest,E,uri_rdf_nil) | -iext(uri_owl_oneOf,V6,A) | icext(V6,V7) | B != V7 # label(owl_enum_class_003) # label(axiom). [clausify(5)].
% 4.24/4.52 50 -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,C) | -iext(uri_rdf_first,C,D) | -iext(uri_rdf_rest,C,E) | -iext(uri_rdf_first,E,F) | -iext(uri_rdf_rest,E,uri_rdf_nil) | -iext(uri_owl_oneOf,V6,A) | icext(V6,V7) | D != V7 # label(owl_enum_class_003) # label(axiom). [clausify(5)].
% 4.24/4.52 51 -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,C) | -iext(uri_rdf_first,C,D) | -iext(uri_rdf_rest,C,E) | -iext(uri_rdf_first,E,F) | -iext(uri_rdf_rest,E,uri_rdf_nil) | -iext(uri_owl_oneOf,V6,A) | icext(V6,V7) | F != V7 # label(owl_enum_class_003) # label(axiom). [clausify(5)].
% 4.24/4.52 56 -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,C) | -iext(uri_rdf_first,C,D) | -iext(uri_rdf_rest,C,E) | -iext(uri_rdf_first,E,F) | -iext(uri_rdf_rest,E,uri_rdf_nil) | -iext(uri_owl_oneOf,V6,A) | -icext(V6,V7) | B = V7 | D = V7 | F = V7 # label(owl_enum_class_003) # label(axiom). [clausify(5)].
% 4.24/4.52 203 ic(uri_ex_c3). [resolve(31,a,18,a)].
% 4.24/4.52 206 ic(uri_ex_c4). [resolve(32,a,25,a)].
% 4.24/4.52 269 -iext(uri_rdf_rest,c8,A) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_owl_unionOf,C,c8) | icext(C,D) | -icext(uri_ex_c1,D). [resolve(43,a,26,a)].
% 4.24/4.52 307 -iext(uri_rdf_first,c8,A) | -iext(uri_rdf_first,c9,B) | -iext(uri_owl_unionOf,C,c8) | icext(C,D) | -icext(B,D). [resolve(44,b,27,a),unit_del(c,29)].
% 4.24/4.52 344 -iext(uri_rdf_first,c3,A) | -iext(uri_rdf_first,c4,B) | -iext(uri_owl_oneOf,C,c3) | icext(C,D) | A != D. [resolve(45,b,15,a),unit_del(c,17)].
% 4.24/4.52 346 -iext(uri_rdf_first,c1,A) | -iext(uri_rdf_first,c2,B) | -iext(uri_owl_oneOf,C,c1) | icext(C,D) | A != D. [resolve(45,b,10,a),unit_del(c,12)].
% 4.24/4.52 377 -iext(uri_rdf_first,c3,A) | -iext(uri_rdf_first,c4,B) | -iext(uri_owl_oneOf,C,c3) | icext(C,D) | B != D. [resolve(46,b,15,a),unit_del(c,17)].
% 4.24/4.52 397 -iext(uri_rdf_rest,c8,A) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_owl_unionOf,C,c8) | -icext(C,D) | icext(uri_ex_c1,D) | icext(B,D). [resolve(47,a,26,a)].
% 4.24/4.52 471 -iext(uri_rdf_rest,c3,A) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_owl_oneOf,C,c3) | -icext(C,D) | uri_ex_w2 = D | B = D. [resolve(48,a,14,a)].
% 4.24/4.52 473 -iext(uri_rdf_rest,c1,A) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_owl_oneOf,C,c1) | -icext(C,D) | uri_ex_w1 = D | B = D. [resolve(48,a,9,a)].
% 4.24/4.52 544 -iext(uri_rdf_rest,c5,A) | -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_oneOf,E,c5) | icext(E,F) | uri_ex_w1 != F. [resolve(49,a,19,a)].
% 4.24/4.52 621 -iext(uri_rdf_rest,c5,A) | -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_oneOf,E,c5) | icext(E,F) | B != F. [resolve(50,a,19,a)].
% 4.24/4.52 689 -iext(uri_rdf_rest,c5,A) | -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_oneOf,E,c5) | icext(E,F) | D != F. [resolve(51,a,19,a)].
% 4.24/4.52 807 -iext(uri_rdf_rest,c5,A) | -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_oneOf,E,c5) | -icext(E,F) | uri_ex_w1 = F | B = F | D = F. [resolve(56,a,19,a)].
% 4.24/4.52 3125 iext(uri_owl_equivalentClass,uri_ex_c3,A) | -ic(A) | icext(uri_ex_c3,f4(uri_ex_c3,A)) | icext(A,f4(uri_ex_c3,A)). [resolve(203,a,39,b)].
% 4.24/4.52 3306 -iext(uri_owl_unionOf,A,c8) | icext(A,B) | -icext(uri_ex_c1,B). [resolve(269,b,28,a),unit_del(a,27),unit_del(b,29)].
% 4.24/4.52 3308 icext(uri_ex_c4,A) | -icext(uri_ex_c1,A). [resolve(3306,a,25,a)].
% 4.24/4.52 3380 icext(uri_ex_c3,f4(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c4,f4(uri_ex_c3,uri_ex_c4)). [resolve(3125,b,206,a),unit_del(a,30)].
% 4.24/4.52 3413 -iext(uri_rdf_first,c9,A) | -iext(uri_owl_unionOf,B,c8) | icext(B,C) | -icext(A,C). [resolve(307,a,26,a)].
% 4.24/4.52 3416 -iext(uri_owl_unionOf,A,c8) | icext(A,B) | -icext(uri_ex_c2,B). [resolve(3413,a,28,a)].
% 4.24/4.52 3418 icext(uri_ex_c4,A) | -icext(uri_ex_c2,A). [resolve(3416,a,25,a)].
% 4.24/4.52 3527 -iext(uri_rdf_first,c4,A) | -iext(uri_owl_oneOf,B,c3) | icext(B,C) | uri_ex_w2 != C. [resolve(344,a,14,a)].
% 4.24/4.52 3531 -iext(uri_owl_oneOf,A,c3) | icext(A,B) | uri_ex_w2 != B. [resolve(3527,a,16,a)].
% 4.24/4.52 3533 icext(uri_ex_c2,A) | uri_ex_w2 != A. [resolve(3531,a,13,a)].
% 4.24/4.52 3534 icext(uri_ex_c2,uri_ex_w2). [xx_res(3533,b)].
% 4.24/4.52 3535 icext(uri_ex_c4,uri_ex_w2). [resolve(3534,a,3418,b)].
% 4.24/4.52 3569 -iext(uri_rdf_first,c2,A) | -iext(uri_owl_oneOf,B,c1) | icext(B,C) | uri_ex_w1 != C. [resolve(346,a,9,a)].
% 4.24/4.52 3572 -iext(uri_owl_oneOf,A,c1) | icext(A,B) | uri_ex_w1 != B. [resolve(3569,a,11,a)].
% 4.24/4.52 3574 icext(uri_ex_c1,A) | uri_ex_w1 != A. [resolve(3572,a,8,a)].
% 4.24/4.52 3575 icext(uri_ex_c1,uri_ex_w1). [xx_res(3574,b)].
% 4.24/4.52 3581 icext(uri_ex_c4,uri_ex_w1). [resolve(3575,a,3308,b)].
% 4.24/4.52 3674 -iext(uri_rdf_first,c4,A) | -iext(uri_owl_oneOf,B,c3) | icext(B,C) | A != C. [resolve(377,a,14,a)].
% 4.24/4.52 3677 -iext(uri_owl_oneOf,A,c3) | icext(A,B) | uri_ex_w3 != B. [resolve(3674,a,16,a)].
% 4.24/4.52 3679 icext(uri_ex_c2,A) | uri_ex_w3 != A. [resolve(3677,a,13,a)].
% 4.24/4.52 3680 icext(uri_ex_c2,uri_ex_w3). [xx_res(3679,b)].
% 4.24/4.52 3682 icext(uri_ex_c4,uri_ex_w3). [resolve(3680,a,3418,b)].
% 4.24/4.52 3869 -iext(uri_owl_unionOf,A,c8) | -icext(A,B) | icext(uri_ex_c1,B) | icext(uri_ex_c2,B). [resolve(397,b,28,a),unit_del(a,27),unit_del(b,29)].
% 4.24/4.52 3886 -icext(uri_ex_c4,A) | icext(uri_ex_c1,A) | icext(uri_ex_c2,A). [resolve(3869,a,25,a)].
% 4.24/4.52 3895 icext(uri_ex_c1,f4(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c2,f4(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c3,f4(uri_ex_c3,uri_ex_c4)). [resolve(3886,a,3380,b)].
% 4.24/4.52 4187 -iext(uri_owl_oneOf,A,c3) | -icext(A,B) | uri_ex_w2 = B | uri_ex_w3 = B. [resolve(471,b,16,a),unit_del(a,15),unit_del(b,17)].
% 4.24/4.52 4197 -icext(uri_ex_c2,A) | uri_ex_w2 = A | uri_ex_w3 = A. [resolve(4187,a,13,a)].
% 4.24/4.52 4228 -iext(uri_owl_oneOf,A,c1) | -icext(A,B) | uri_ex_w1 = B | uri_ex_w2 = B. [resolve(473,b,11,a),unit_del(a,10),unit_del(b,12)].
% 4.24/4.52 4238 -icext(uri_ex_c1,A) | uri_ex_w1 = A | uri_ex_w2 = A. [resolve(4228,a,8,a)].
% 4.24/4.52 4414 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c7,B) | -iext(uri_owl_oneOf,C,c5) | icext(C,D) | uri_ex_w1 != D. [resolve(544,c,22,a),unit_del(a,20),unit_del(d,24)].
% 4.24/4.52 4620 -iext(uri_rdf_first,c7,A) | -iext(uri_owl_oneOf,B,c5) | icext(B,C) | uri_ex_w1 != C. [resolve(4414,a,21,a)].
% 4.24/4.52 4623 -iext(uri_owl_oneOf,A,c5) | icext(A,B) | uri_ex_w1 != B. [resolve(4620,a,23,a)].
% 4.24/4.52 4625 icext(uri_ex_c3,A) | uri_ex_w1 != A. [resolve(4623,a,18,a)].
% 4.24/4.52 4628 icext(uri_ex_c3,uri_ex_w1). [xx_res(4625,b)].
% 4.24/4.52 4749 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c7,B) | -iext(uri_owl_oneOf,C,c5) | icext(C,D) | A != D. [resolve(621,c,22,a),unit_del(a,20),unit_del(d,24)].
% 4.24/4.52 4827 -iext(uri_rdf_first,c7,A) | -iext(uri_owl_oneOf,B,c5) | icext(B,C) | uri_ex_w2 != C. [resolve(4749,a,21,a)].
% 4.24/4.52 4830 -iext(uri_owl_oneOf,A,c5) | icext(A,B) | uri_ex_w2 != B. [resolve(4827,a,23,a)].
% 4.24/4.52 4832 icext(uri_ex_c3,A) | uri_ex_w2 != A. [resolve(4830,a,18,a)].
% 4.24/4.52 4833 icext(uri_ex_c3,uri_ex_w2). [xx_res(4832,b)].
% 4.24/4.52 5151 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c7,B) | -iext(uri_owl_oneOf,C,c5) | icext(C,D) | B != D. [resolve(689,c,22,a),unit_del(a,20),unit_del(d,24)].
% 4.24/4.52 5165 -iext(uri_rdf_first,c7,A) | -iext(uri_owl_oneOf,B,c5) | icext(B,C) | A != C. [resolve(5151,a,21,a)].
% 4.24/4.52 5168 -iext(uri_owl_oneOf,A,c5) | icext(A,B) | uri_ex_w3 != B. [resolve(5165,a,23,a)].
% 4.24/4.52 5170 icext(uri_ex_c3,A) | uri_ex_w3 != A. [resolve(5168,a,18,a)].
% 4.24/4.52 5171 icext(uri_ex_c3,uri_ex_w3). [xx_res(5170,b)].
% 4.24/4.52 6209 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c7,B) | -iext(uri_owl_oneOf,C,c5) | -icext(C,D) | uri_ex_w1 = D | A = D | B = D. [resolve(807,c,22,a),unit_del(a,20),unit_del(d,24)].
% 4.24/4.52 7969 -iext(uri_rdf_first,c7,A) | -iext(uri_owl_oneOf,B,c5) | -icext(B,C) | uri_ex_w1 = C | uri_ex_w2 = C | A = C. [resolve(6209,a,21,a)].
% 4.24/4.52 7974 -iext(uri_owl_oneOf,A,c5) | -icext(A,B) | uri_ex_w1 = B | uri_ex_w2 = B | uri_ex_w3 = B. [resolve(7969,a,23,a)].
% 4.24/4.52 7976 -icext(uri_ex_c3,A) | uri_ex_w1 = A | uri_ex_w2 = A | uri_ex_w3 = A. [resolve(7974,a,18,a)].
% 4.24/4.52 8002 f4(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w3 | icext(uri_ex_c1,f4(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c2,f4(uri_ex_c3,uri_ex_c4)). [resolve(7976,a,3895,c),flip(a),flip(b),flip(c)].
% 4.24/4.52 9112 f4(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w3 | icext(uri_ex_c1,f4(uri_ex_c3,uri_ex_c4)). [resolve(8002,e,4197,a),flip(e),flip(f),merge(e),merge(f)].
% 4.24/4.52 9113 f4(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w3. [resolve(9112,d,4238,a),flip(d),flip(e),merge(d),merge(e)].
% 4.24/4.52 9116 f4(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | -icext(uri_ex_c4,f4(uri_ex_c3,uri_ex_c4)). [para(9113(c,1),40(d,2)),unit_del(c,30),unit_del(d,203),unit_del(e,206),unit_del(f,5171)].
% 4.24/4.52 9126 f4(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | f4(uri_ex_c3,uri_ex_c4) = uri_ex_w2. [para(9113(c,1),9116(c,2)),merge(c),merge(d),unit_del(c,3682)].
% 4.24/4.52 9129 f4(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | -icext(uri_ex_c4,f4(uri_ex_c3,uri_ex_c4)). [para(9126(a,1),40(d,2)),unit_del(b,30),unit_del(c,203),unit_del(d,206),unit_del(e,4628)].
% 4.24/4.52 9139 f4(uri_ex_c3,uri_ex_c4) = uri_ex_w2. [para(9126(a,1),9129(b,2)),merge(b),unit_del(b,3581)].
% 4.24/4.52 9144 $F. [para(9139(a,1),40(d,2)),rewrite([9139(15)]),unit_del(a,30),unit_del(b,203),unit_del(c,206),unit_del(d,4833),unit_del(e,3535)].
% 4.24/4.52
% 4.24/4.52 % SZS output end Refutation
% 4.24/4.52 ============================== end of proof ==========================
% 4.24/4.52
% 4.24/4.52 ============================== STATISTICS ============================
% 4.24/4.52
% 4.24/4.52 Given=4323. Generated=30415. Kept=9129. proofs=1.
% 4.24/4.52 Usable=3985. Sos=3795. Demods=1. Limbo=0, Disabled=1407. Hints=0.
% 4.24/4.52 Megabytes=13.40.
% 4.24/4.52 User_CPU=3.49, System_CPU=0.02, Wall_clock=4.
% 4.24/4.52
% 4.24/4.52 ============================== end of statistics =====================
% 4.24/4.52
% 4.24/4.52 ============================== end of search =========================
% 4.24/4.52
% 4.24/4.52 THEOREM PROVED
% 4.24/4.52 % SZS status Theorem
% 4.24/4.52
% 4.24/4.52 Exiting with 1 proof.
% 4.24/4.52
% 4.24/4.52 Process 30780 exit (max_proofs) Wed Jun 1 10:06:55 2022
% 4.24/4.52 Prover9 interrupted
%------------------------------------------------------------------------------