0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n013.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Mon Jul 3 06:51:17 EDT 2023 0.12/0.33 % CPUTime : 0.42/1.01 ============================== Prover9 =============================== 0.42/1.01 Prover9 (32) version 2009-11A, November 2009. 0.42/1.01 Process 12824 was started by sandbox2 on n013.cluster.edu, 0.42/1.01 Mon Jul 3 06:51:18 2023 0.42/1.01 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_12670_n013.cluster.edu". 0.42/1.01 ============================== end of head =========================== 0.42/1.01 0.42/1.01 ============================== INPUT ================================= 0.42/1.01 0.42/1.01 % Reading from file /tmp/Prover9_12670_n013.cluster.edu 0.42/1.01 0.42/1.01 set(prolog_style_variables). 0.42/1.01 set(auto2). 0.42/1.01 % set(auto2) -> set(auto). 0.42/1.01 % set(auto) -> set(auto_inference). 0.42/1.01 % set(auto) -> set(auto_setup). 0.42/1.01 % set(auto_setup) -> set(predicate_elim). 0.42/1.01 % set(auto_setup) -> assign(eq_defs, unfold). 0.42/1.01 % set(auto) -> set(auto_limits). 0.42/1.01 % set(auto_limits) -> assign(max_weight, "100.000"). 0.42/1.01 % set(auto_limits) -> assign(sos_limit, 20000). 0.42/1.01 % set(auto) -> set(auto_denials). 0.42/1.01 % set(auto) -> set(auto_process). 0.42/1.01 % set(auto2) -> assign(new_constants, 1). 0.42/1.01 % set(auto2) -> assign(fold_denial_max, 3). 0.42/1.01 % set(auto2) -> assign(max_weight, "200.000"). 0.42/1.01 % set(auto2) -> assign(max_hours, 1). 0.42/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.42/1.01 % set(auto2) -> assign(max_seconds, 0). 0.42/1.01 % set(auto2) -> assign(max_minutes, 5). 0.42/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.42/1.01 % set(auto2) -> set(sort_initial_sos). 0.42/1.01 % set(auto2) -> assign(sos_limit, -1). 0.42/1.01 % set(auto2) -> assign(lrs_ticks, 3000). 0.42/1.01 % set(auto2) -> assign(max_megs, 400). 0.42/1.01 % set(auto2) -> assign(stats, some). 0.42/1.01 % set(auto2) -> clear(echo_input). 0.42/1.01 % set(auto2) -> set(quiet). 0.42/1.01 % set(auto2) -> clear(print_initial_clauses). 0.42/1.01 % set(auto2) -> clear(print_given). 0.42/1.01 assign(lrs_ticks,-1). 0.42/1.01 assign(sos_limit,10000). 0.42/1.01 assign(order,kbo). 0.42/1.01 set(lex_order_vars). 0.42/1.01 clear(print_given). 0.42/1.01 0.42/1.01 % formulas(sos). % not echoed (8 formulas) 0.42/1.01 0.42/1.01 ============================== end of input ========================== 0.42/1.01 0.42/1.01 % From the command line: assign(max_seconds, 1440). 0.42/1.01 0.42/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.42/1.01 0.42/1.01 % Formulas that are not ordinary clauses: 0.42/1.01 1 (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_l12,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l21,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil) & iext(uri_owl_oneOf,uri_ex_c3,BNODE_l31) & iext(uri_rdf_rest,BNODE_l31,BNODE_l32) & iext(uri_rdf_first,BNODE_l32,uri_ex_w2) & iext(uri_rdf_first,BNODE_l41,uri_ex_c1) & iext(uri_rdf_rest,BNODE_l41,BNODE_l42) & iext(uri_rdf_rest,BNODE_l42,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l42,uri_ex_c2) & iext(uri_owl_unionOf,uri_ex_c4,BNODE_l41) & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l33,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l32,BNODE_l33) & iext(uri_rdf_first,BNODE_l31,uri_ex_w1) & iext(uri_rdf_first,BNODE_l22,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l21,BNODE_l22) & iext(uri_owl_oneOf,uri_ex_c2,BNODE_l21) & iext(uri_rdf_rest,BNODE_l11,BNODE_l12) & iext(uri_rdf_first,BNODE_l11,uri_ex_w1))) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 2 (all Z all S1 all C1 all S2 all C2 (iext(uri_rdf_rest,S2,uri_rdf_nil) & iext(uri_rdf_first,S2,C2) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S1,C1) -> (ic(Z) & ic(C2) & (all X (icext(Z,X) <-> icext(C1,X) | icext(C2,X))) & ic(C1) <-> iext(uri_owl_unionOf,Z,S1)))) # label(owl_bool_unionof_class_002) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 3 (all Z all S1 all A1 all S2 all A2 (iext(uri_rdf_rest,S2,uri_rdf_nil) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S1,A1) -> (ic(Z) & (all X (icext(Z,X) <-> A1 = X | X = A2)) <-> iext(uri_owl_oneOf,Z,S1)))) # label(owl_enum_class_002) # label(axiom) # label(non_clause). [assumption]. 0.42/1.01 4 (all X all Y (iext(uri_owl_oneOf,X,Y) -> icext(uri_rdf_List,Y) & ic(X))) # label(owl_prop_oneof_ext) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 5 (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]. 5.47/5.80 6 (all C1 all C2 (iext(uri_owl_equivalentClass,C1,C2) <-> ic(C2) & (all X (icext(C1,X) <-> icext(C2,X))) & ic(C1))) # label(owl_eqdis_equivalentclass) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 7 (all Z all S1 all A1 all S2 all A2 all S3 all A3 (iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_rest,S3,uri_rdf_nil) & iext(uri_rdf_first,S3,A3) & iext(uri_rdf_first,S1,A1) -> (iext(uri_owl_oneOf,Z,S1) <-> ic(Z) & (all X (icext(Z,X) <-> X = A2 | A3 = X | X = A1))))) # label(owl_enum_class_003) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 5.47/5.80 ============================== end of process non-clausal formulas === 5.47/5.80 5.47/5.80 ============================== PROCESS INITIAL CLAUSES =============== 5.47/5.80 5.47/5.80 ============================== PREDICATE ELIMINATION ================= 5.47/5.80 5.47/5.80 ============================== end predicate elimination ============= 5.47/5.80 5.47/5.80 Auto_denials: (non-Horn, no changes). 5.47/5.80 5.47/5.80 Term ordering decisions: 5.47/5.80 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. f3=1. f1=1. f2=1. f4=1. 5.47/5.80 5.47/5.80 ============================== end of process initial clauses ======== 5.47/5.80 5.47/5.80 ============================== CLAUSES FOR SEARCH ==================== 5.47/5.80 5.47/5.80 ============================== end of clauses for search ============= 5.47/5.80 5.47/5.80 ============================== SEARCH ================================ 5.47/5.80 5.47/5.80 % Starting search at 0.06 seconds. 5.47/5.80 5.47/5.80 ============================== PROOF ================================= 5.47/5.80 % SZS status Theorem 5.47/5.80 % SZS output start Refutation 5.47/5.80 5.47/5.80 % Proof 1 at 4.75 (+ 0.03) seconds. 5.47/5.80 % Length of proof is 114. 5.47/5.80 % Level of proof is 14. 5.47/5.80 % Maximum clause weight is 40.000. 5.47/5.80 % Given clauses 4327. 5.47/5.80 5.47/5.80 1 (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_l12,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l21,uri_ex_w2) & iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil) & iext(uri_owl_oneOf,uri_ex_c3,BNODE_l31) & iext(uri_rdf_rest,BNODE_l31,BNODE_l32) & iext(uri_rdf_first,BNODE_l32,uri_ex_w2) & iext(uri_rdf_first,BNODE_l41,uri_ex_c1) & iext(uri_rdf_rest,BNODE_l41,BNODE_l42) & iext(uri_rdf_rest,BNODE_l42,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l42,uri_ex_c2) & iext(uri_owl_unionOf,uri_ex_c4,BNODE_l41) & iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) & iext(uri_rdf_first,BNODE_l33,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l32,BNODE_l33) & iext(uri_rdf_first,BNODE_l31,uri_ex_w1) & iext(uri_rdf_first,BNODE_l22,uri_ex_w3) & iext(uri_rdf_rest,BNODE_l21,BNODE_l22) & iext(uri_owl_oneOf,uri_ex_c2,BNODE_l21) & iext(uri_rdf_rest,BNODE_l11,BNODE_l12) & iext(uri_rdf_first,BNODE_l11,uri_ex_w1))) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 2 (all Z all S1 all C1 all S2 all C2 (iext(uri_rdf_rest,S2,uri_rdf_nil) & iext(uri_rdf_first,S2,C2) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S1,C1) -> (ic(Z) & ic(C2) & (all X (icext(Z,X) <-> icext(C1,X) | icext(C2,X))) & ic(C1) <-> iext(uri_owl_unionOf,Z,S1)))) # label(owl_bool_unionof_class_002) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 3 (all Z all S1 all A1 all S2 all A2 (iext(uri_rdf_rest,S2,uri_rdf_nil) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S1,A1) -> (ic(Z) & (all X (icext(Z,X) <-> A1 = X | X = A2)) <-> iext(uri_owl_oneOf,Z,S1)))) # label(owl_enum_class_002) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 4 (all X all Y (iext(uri_owl_oneOf,X,Y) -> icext(uri_rdf_List,Y) & ic(X))) # label(owl_prop_oneof_ext) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 5 (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]. 5.47/5.80 6 (all C1 all C2 (iext(uri_owl_equivalentClass,C1,C2) <-> ic(C2) & (all X (icext(C1,X) <-> icext(C2,X))) & ic(C1))) # label(owl_eqdis_equivalentclass) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 7 (all Z all S1 all A1 all S2 all A2 all S3 all A3 (iext(uri_rdf_rest,S1,S2) & iext(uri_rdf_first,S2,A2) & iext(uri_rdf_rest,S2,S3) & iext(uri_rdf_rest,S3,uri_rdf_nil) & iext(uri_rdf_first,S3,A3) & iext(uri_rdf_first,S1,A1) -> (iext(uri_owl_oneOf,Z,S1) <-> ic(Z) & (all X (icext(Z,X) <-> X = A2 | A3 = X | X = A1))))) # label(owl_enum_class_003) # label(axiom) # label(non_clause). [assumption]. 5.47/5.80 8 iext(uri_owl_oneOf,uri_ex_c1,c1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 9 iext(uri_rdf_first,c2,uri_ex_w2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 10 iext(uri_rdf_rest,c2,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 11 iext(uri_rdf_first,c3,uri_ex_w2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 12 iext(uri_rdf_rest,c4,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 13 iext(uri_owl_oneOf,uri_ex_c3,c5) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 14 iext(uri_rdf_rest,c5,c6) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 15 iext(uri_rdf_first,c6,uri_ex_w2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 16 iext(uri_rdf_first,c8,uri_ex_c1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 17 iext(uri_rdf_rest,c8,c9) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 18 iext(uri_rdf_rest,c9,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 19 iext(uri_rdf_first,c9,uri_ex_c2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 20 iext(uri_owl_unionOf,uri_ex_c4,c8) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 21 iext(uri_rdf_rest,c7,uri_rdf_nil) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 22 iext(uri_rdf_first,c7,uri_ex_w3) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 23 iext(uri_rdf_rest,c6,c7) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 24 iext(uri_rdf_first,c5,uri_ex_w1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 25 iext(uri_rdf_first,c4,uri_ex_w3) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 26 iext(uri_rdf_rest,c3,c4) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 27 iext(uri_owl_oneOf,uri_ex_c2,c3) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 28 iext(uri_rdf_rest,c1,c2) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 29 iext(uri_rdf_first,c1,uri_ex_w1) # label(testcase_premise_fullish_021_Composite_Enumerations) # label(axiom). [clausify(1)]. 5.47/5.80 30 -iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4) # label(testcase_conclusion_fullish_021_Composite_Enumerations) # label(negated_conjecture). [assumption]. 5.47/5.80 31 -iext(uri_owl_oneOf,A,B) | ic(A) # label(owl_prop_oneof_ext) # label(axiom). [clausify(4)]. 5.47/5.80 32 -iext(uri_owl_unionOf,A,B) | ic(A) # label(owl_prop_unionof_ext) # label(axiom). [clausify(5)]. 5.47/5.80 39 iext(uri_owl_equivalentClass,A,B) | -ic(B) | icext(A,f3(A,B)) | icext(B,f3(A,B)) | -ic(A) # label(owl_eqdis_equivalentclass) # label(axiom). [clausify(6)]. 5.47/5.80 40 iext(uri_owl_equivalentClass,A,B) | -ic(B) | -icext(A,f3(A,B)) | -icext(B,f3(A,B)) | -ic(A) # label(owl_eqdis_equivalentclass) # label(axiom). [clausify(6)]. 5.47/5.80 43 -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,C,A) | -iext(uri_rdf_first,C,D) | icext(E,F) | -icext(D,F) | -iext(uri_owl_unionOf,E,C) # label(owl_bool_unionof_class_002) # label(axiom). [clausify(2)]. 5.47/5.80 44 -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,C,A) | -iext(uri_rdf_first,C,D) | icext(E,F) | -icext(B,F) | -iext(uri_owl_unionOf,E,C) # label(owl_bool_unionof_class_002) # label(axiom). [clausify(2)]. 5.47/5.80 45 -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,C,A) | -iext(uri_rdf_first,C,D) | icext(E,F) | D != F | -iext(uri_owl_oneOf,E,C) # label(owl_enum_class_002) # label(axiom). [clausify(3)]. 5.47/5.80 46 -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,C,A) | -iext(uri_rdf_first,C,D) | icext(E,F) | B != F | -iext(uri_owl_oneOf,E,C) # label(owl_enum_class_002) # label(axiom). [clausify(3)]. 5.47/5.80 47 -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,C,A) | -iext(uri_rdf_first,C,D) | -icext(E,F) | icext(D,F) | icext(B,F) | -iext(uri_owl_unionOf,E,C) # label(owl_bool_unionof_class_002) # label(axiom). [clausify(2)]. 5.47/5.80 48 -iext(uri_rdf_rest,A,uri_rdf_nil) | -iext(uri_rdf_first,A,B) | -iext(uri_rdf_rest,C,A) | -iext(uri_rdf_first,C,D) | -icext(E,F) | D = F | B = F | -iext(uri_owl_oneOf,E,C) # label(owl_enum_class_002) # label(axiom). [clausify(3)]. 5.47/5.80 49 -iext(uri_rdf_rest,A,B) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_rest,B,D) | -iext(uri_rdf_rest,D,uri_rdf_nil) | -iext(uri_rdf_first,D,E) | -iext(uri_rdf_first,A,F) | -iext(uri_owl_oneOf,V6,A) | icext(V6,V7) | C != V7 # label(owl_enum_class_003) # label(axiom). [clausify(7)]. 5.47/5.80 50 -iext(uri_rdf_rest,A,B) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_rest,B,D) | -iext(uri_rdf_rest,D,uri_rdf_nil) | -iext(uri_rdf_first,D,E) | -iext(uri_rdf_first,A,F) | -iext(uri_owl_oneOf,V6,A) | icext(V6,V7) | E != V7 # label(owl_enum_class_003) # label(axiom). [clausify(7)]. 5.47/5.80 51 -iext(uri_rdf_rest,A,B) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_rest,B,D) | -iext(uri_rdf_rest,D,uri_rdf_nil) | -iext(uri_rdf_first,D,E) | -iext(uri_rdf_first,A,F) | -iext(uri_owl_oneOf,V6,A) | icext(V6,V7) | F != V7 # label(owl_enum_class_003) # label(axiom). [clausify(7)]. 5.47/5.80 56 -iext(uri_rdf_rest,A,B) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_rest,B,D) | -iext(uri_rdf_rest,D,uri_rdf_nil) | -iext(uri_rdf_first,D,E) | -iext(uri_rdf_first,A,F) | -iext(uri_owl_oneOf,V6,A) | -icext(V6,V7) | C = V7 | E = V7 | F = V7 # label(owl_enum_class_003) # label(axiom). [clausify(7)]. 5.47/5.80 204 ic(uri_ex_c3). [resolve(31,a,13,a)]. 5.47/5.80 206 ic(uri_ex_c4). [resolve(32,a,20,a)]. 5.47/5.80 284 -iext(uri_rdf_rest,A,c9) | -iext(uri_rdf_first,A,B) | icext(C,D) | -icext(B,D) | -iext(uri_owl_unionOf,C,A). [resolve(43,b,19,a),unit_del(a,18)]. 5.47/5.80 310 -iext(uri_rdf_first,c9,A) | -iext(uri_rdf_rest,B,c9) | -iext(uri_rdf_first,B,C) | icext(D,E) | -icext(A,E) | -iext(uri_owl_unionOf,D,B). [resolve(44,a,18,a)]. 5.47/5.80 346 -iext(uri_rdf_rest,A,c4) | -iext(uri_rdf_first,A,B) | icext(C,D) | B != D | -iext(uri_owl_oneOf,C,A). [resolve(45,b,25,a),unit_del(a,12)]. 5.47/5.80 353 -iext(uri_rdf_rest,A,c2) | -iext(uri_rdf_first,A,B) | icext(C,D) | B != D | -iext(uri_owl_oneOf,C,A). [resolve(45,b,9,a),unit_del(a,10)]. 5.47/5.80 383 -iext(uri_rdf_rest,A,c4) | -iext(uri_rdf_first,A,B) | icext(C,D) | uri_ex_w3 != D | -iext(uri_owl_oneOf,C,A). [resolve(46,b,25,a),unit_del(a,12)]. 5.47/5.80 413 -iext(uri_rdf_first,c9,A) | -iext(uri_rdf_rest,B,c9) | -iext(uri_rdf_first,B,C) | -icext(D,E) | icext(C,E) | icext(A,E) | -iext(uri_owl_unionOf,D,B). [resolve(47,a,18,a)]. 5.47/5.80 483 -iext(uri_rdf_first,c4,A) | -iext(uri_rdf_rest,B,c4) | -iext(uri_rdf_first,B,C) | -icext(D,E) | C = E | A = E | -iext(uri_owl_oneOf,D,B). [resolve(48,a,12,a)]. 5.47/5.80 484 -iext(uri_rdf_first,c2,A) | -iext(uri_rdf_rest,B,c2) | -iext(uri_rdf_first,B,C) | -icext(D,E) | C = E | A = E | -iext(uri_owl_oneOf,D,B). [resolve(48,a,10,a)]. 5.47/5.80 558 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_rest,c6,B) | -iext(uri_rdf_rest,B,uri_rdf_nil) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_first,c5,D) | -iext(uri_owl_oneOf,E,c5) | icext(E,F) | A != F. [resolve(49,a,14,a)]. 5.47/5.80 634 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_rest,c6,B) | -iext(uri_rdf_rest,B,uri_rdf_nil) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_first,c5,D) | -iext(uri_owl_oneOf,E,c5) | icext(E,F) | C != F. [resolve(50,a,14,a)]. 5.47/5.80 715 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_rest,c6,B) | -iext(uri_rdf_rest,B,uri_rdf_nil) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_first,c5,D) | -iext(uri_owl_oneOf,E,c5) | icext(E,F) | D != F. [resolve(51,a,14,a)]. 5.47/5.80 833 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_rest,c6,B) | -iext(uri_rdf_rest,B,uri_rdf_nil) | -iext(uri_rdf_first,B,C) | -iext(uri_rdf_first,c5,D) | -iext(uri_owl_oneOf,E,c5) | -icext(E,F) | A = F | C = F | D = F. [resolve(56,a,14,a)]. 5.47/5.80 3151 iext(uri_owl_equivalentClass,uri_ex_c3,A) | -ic(A) | icext(uri_ex_c3,f3(uri_ex_c3,A)) | icext(A,f3(uri_ex_c3,A)). [resolve(204,a,39,e)]. 5.47/5.80 3358 icext(A,B) | -icext(uri_ex_c1,B) | -iext(uri_owl_unionOf,A,c8). [resolve(284,b,16,a),unit_del(a,17)]. 5.47/5.80 3361 icext(uri_ex_c4,A) | -icext(uri_ex_c1,A). [resolve(3358,c,20,a)]. 5.47/5.80 3409 icext(uri_ex_c3,f3(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c4,f3(uri_ex_c3,uri_ex_c4)). [resolve(3151,b,206,a),unit_del(a,30)]. 5.47/5.80 3435 -iext(uri_rdf_first,c9,A) | icext(B,C) | -icext(A,C) | -iext(uri_owl_unionOf,B,c8). [resolve(310,c,16,a),unit_del(b,17)]. 5.47/5.80 3440 icext(A,B) | -icext(uri_ex_c2,B) | -iext(uri_owl_unionOf,A,c8). [resolve(3435,a,19,a)]. 5.47/5.80 3442 icext(uri_ex_c4,A) | -icext(uri_ex_c2,A). [resolve(3440,c,20,a)]. 5.47/5.80 3549 icext(A,B) | uri_ex_w2 != B | -iext(uri_owl_oneOf,A,c3). [resolve(346,b,11,a),unit_del(a,26)]. 5.47/5.80 3554 icext(uri_ex_c2,A) | uri_ex_w2 != A. [resolve(3549,c,27,a)]. 5.47/5.80 3555 icext(uri_ex_c2,uri_ex_w2). [xx_res(3554,b)]. 5.47/5.80 3557 icext(uri_ex_c4,uri_ex_w2). [resolve(3555,a,3442,b)]. 5.47/5.80 3627 icext(A,B) | uri_ex_w1 != B | -iext(uri_owl_oneOf,A,c1). [resolve(353,b,29,a),unit_del(a,28)]. 5.47/5.80 3634 icext(uri_ex_c1,A) | uri_ex_w1 != A. [resolve(3627,c,8,a)]. 5.47/5.80 3635 icext(uri_ex_c1,uri_ex_w1). [xx_res(3634,b)]. 5.47/5.80 3646 icext(uri_ex_c4,uri_ex_w1). [resolve(3635,a,3361,b)]. 5.47/5.80 3698 icext(A,B) | uri_ex_w3 != B | -iext(uri_owl_oneOf,A,c3). [resolve(383,b,11,a),unit_del(a,26)]. 5.47/5.80 3703 icext(uri_ex_c2,A) | uri_ex_w3 != A. [resolve(3698,c,27,a)]. 5.47/5.80 3704 icext(uri_ex_c2,uri_ex_w3). [xx_res(3703,b)]. 5.47/5.80 3705 icext(uri_ex_c4,uri_ex_w3). [resolve(3704,a,3442,b)]. 5.47/5.80 3912 -iext(uri_rdf_first,c9,A) | -icext(B,C) | icext(uri_ex_c1,C) | icext(A,C) | -iext(uri_owl_unionOf,B,c8). [resolve(413,c,16,a),unit_del(b,17)]. 5.47/5.80 3926 -icext(A,B) | icext(uri_ex_c1,B) | icext(uri_ex_c2,B) | -iext(uri_owl_unionOf,A,c8). [resolve(3912,a,19,a)]. 5.47/5.80 3928 -icext(uri_ex_c4,A) | icext(uri_ex_c1,A) | icext(uri_ex_c2,A). [resolve(3926,d,20,a)]. 5.47/5.80 3955 icext(uri_ex_c1,f3(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c2,f3(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c3,f3(uri_ex_c3,uri_ex_c4)). [resolve(3928,a,3409,b)]. 5.47/5.80 4178 -iext(uri_rdf_first,c4,A) | -icext(B,C) | uri_ex_w2 = C | A = C | -iext(uri_owl_oneOf,B,c3). [resolve(483,c,11,a),unit_del(b,26)]. 5.47/5.80 4194 -icext(A,B) | uri_ex_w2 = B | uri_ex_w3 = B | -iext(uri_owl_oneOf,A,c3). [resolve(4178,a,25,a)]. 5.47/5.80 4196 -iext(uri_rdf_first,c2,A) | -icext(B,C) | uri_ex_w1 = C | A = C | -iext(uri_owl_oneOf,B,c1). [resolve(484,c,29,a),unit_del(b,28)]. 5.47/5.80 4217 -icext(uri_ex_c2,A) | uri_ex_w2 = A | uri_ex_w3 = A. [resolve(4194,d,27,a)]. 5.47/5.80 4246 -icext(A,B) | uri_ex_w1 = B | uri_ex_w2 = B | -iext(uri_owl_oneOf,A,c1). [resolve(4196,a,9,a)]. 5.47/5.80 4248 -icext(uri_ex_c1,A) | uri_ex_w1 = A | uri_ex_w2 = A. [resolve(4246,d,8,a)]. 5.47/5.80 4451 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c5,B) | -iext(uri_owl_oneOf,C,c5) | icext(C,D) | A != D. [resolve(558,d,22,a),unit_del(b,23),unit_del(c,21)]. 5.47/5.80 4779 -iext(uri_rdf_first,c5,A) | -iext(uri_owl_oneOf,B,c5) | icext(B,C) | uri_ex_w2 != C. [resolve(4451,a,15,a)]. 5.47/5.80 4782 -iext(uri_owl_oneOf,A,c5) | icext(A,B) | uri_ex_w2 != B. [resolve(4779,a,24,a)]. 5.47/5.80 4784 icext(uri_ex_c3,A) | uri_ex_w2 != A. [resolve(4782,a,13,a)]. 5.47/5.80 4785 icext(uri_ex_c3,uri_ex_w2). [xx_res(4784,b)]. 5.47/5.80 4963 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c5,B) | -iext(uri_owl_oneOf,C,c5) | icext(C,D) | uri_ex_w3 != D. [resolve(634,d,22,a),unit_del(b,23),unit_del(c,21)]. 5.47/5.80 4970 -iext(uri_rdf_first,c5,A) | -iext(uri_owl_oneOf,B,c5) | icext(B,C) | uri_ex_w3 != C. [resolve(4963,a,15,a)]. 5.47/5.80 4973 -iext(uri_owl_oneOf,A,c5) | icext(A,B) | uri_ex_w3 != B. [resolve(4970,a,24,a)]. 5.47/5.80 4975 icext(uri_ex_c3,A) | uri_ex_w3 != A. [resolve(4973,a,13,a)]. 5.47/5.80 4988 icext(uri_ex_c3,uri_ex_w3). [xx_res(4975,b)]. 5.47/5.80 5506 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c5,B) | -iext(uri_owl_oneOf,C,c5) | icext(C,D) | B != D. [resolve(715,d,22,a),unit_del(b,23),unit_del(c,21)]. 5.47/5.80 5509 -iext(uri_rdf_first,c5,A) | -iext(uri_owl_oneOf,B,c5) | icext(B,C) | A != C. [resolve(5506,a,15,a)]. 5.47/5.80 5512 -iext(uri_owl_oneOf,A,c5) | icext(A,B) | uri_ex_w1 != B. [resolve(5509,a,24,a)]. 5.47/5.80 5514 icext(uri_ex_c3,A) | uri_ex_w1 != A. [resolve(5512,a,13,a)]. 5.47/5.80 5517 icext(uri_ex_c3,uri_ex_w1). [xx_res(5514,b)]. 5.47/5.80 6252 -iext(uri_rdf_first,c6,A) | -iext(uri_rdf_first,c5,B) | -iext(uri_owl_oneOf,C,c5) | -icext(C,D) | A = D | uri_ex_w3 = D | B = D. [resolve(833,d,22,a),unit_del(b,23),unit_del(c,21)]. 5.47/5.80 8184 -iext(uri_rdf_first,c5,A) | -iext(uri_owl_oneOf,B,c5) | -icext(B,C) | uri_ex_w2 = C | uri_ex_w3 = C | A = C. [resolve(6252,a,15,a)]. 5.47/5.80 8187 -iext(uri_owl_oneOf,A,c5) | -icext(A,B) | uri_ex_w2 = B | uri_ex_w3 = B | uri_ex_w1 = B. [resolve(8184,a,24,a)]. 5.47/5.80 8189 -icext(uri_ex_c3,A) | uri_ex_w2 = A | uri_ex_w3 = A | uri_ex_w1 = A. [resolve(8187,a,13,a)]. 5.47/5.80 8215 f3(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w3 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | icext(uri_ex_c1,f3(uri_ex_c3,uri_ex_c4)) | icext(uri_ex_c2,f3(uri_ex_c3,uri_ex_c4)). [resolve(8189,a,3955,c),flip(a),flip(b),flip(c)]. 5.47/5.80 9328 f3(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w3 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | icext(uri_ex_c1,f3(uri_ex_c3,uri_ex_c4)). [resolve(8215,e,4217,a),flip(e),flip(f),merge(e),merge(f)]. 5.47/5.80 9329 f3(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w3 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w1. [resolve(9328,d,4248,a),flip(d),flip(e),merge(d),merge(e)]. 5.47/5.80 9332 f3(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w1 | -icext(uri_ex_c4,f3(uri_ex_c3,uri_ex_c4)). [para(9329(b,1),40(c,2)),unit_del(c,30),unit_del(d,206),unit_del(e,4988),unit_del(g,204)]. 5.47/5.80 9342 f3(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | f3(uri_ex_c3,uri_ex_c4) = uri_ex_w1. [para(9329(b,1),9332(c,2)),merge(c),merge(d),unit_del(c,3705)]. 5.47/5.80 9345 f3(uri_ex_c3,uri_ex_c4) = uri_ex_w2 | -icext(uri_ex_c4,f3(uri_ex_c3,uri_ex_c4)). [para(9342(b,1),40(c,2)),unit_del(b,30),unit_del(c,206),unit_del(d,5517),unit_del(f,204)]. 5.47/5.80 9355 f3(uri_ex_c3,uri_ex_c4) = uri_ex_w2. [para(9342(b,1),9345(b,2)),merge(b),unit_del(b,3646)]. 5.47/5.80 9360 $F. [para(9355(a,1),40(c,2)),rewrite([9355(13)]),unit_del(a,30),unit_del(b,206),unit_del(c,4785),unit_del(d,3557),unit_del(e,204)]. 5.47/5.80 5.47/5.80 % SZS output end Refutation 5.47/5.80 ============================== end of proof ========================== 5.47/5.80 5.47/5.80 ============================== STATISTICS ============================ 5.47/5.80 5.47/5.80 Given=4327. Generated=30455. Kept=9345. proofs=1. 5.47/5.80 Usable=3972. Sos=3808. Demods=1. Limbo=0, Disabled=1623. Hints=0. 5.47/5.80 Megabytes=13.50. 5.47/5.80 User_CPU=4.75, System_CPU=0.03, Wall_clock=5. 5.47/5.80 5.47/5.80 ============================== end of statistics ===================== 5.47/5.80 5.47/5.80 ============================== end of search ========================= 5.47/5.80 5.47/5.80 THEOREM PROVED 5.47/5.80 % SZS status Theorem 5.47/5.80 5.47/5.80 Exiting with 1 proof. 5.47/5.80 5.47/5.80 Process 12824 exit (max_proofs) Mon Jul 3 06:51:23 2023 5.47/5.80 Prover9 interrupted 5.47/5.80 EOF