0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.11/0.33 % Computer : n021.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1440 0.11/0.33 % WCLimit : 180 0.11/0.33 % DateTime : Mon Jul 3 09:29:07 EDT 2023 0.11/0.33 % CPUTime : 0.41/0.97 ============================== Prover9 =============================== 0.41/0.97 Prover9 (32) version 2009-11A, November 2009. 0.41/0.97 Process 27607 was started by sandbox on n021.cluster.edu, 0.41/0.97 Mon Jul 3 09:29:08 2023 0.41/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_27454_n021.cluster.edu". 0.41/0.97 ============================== end of head =========================== 0.41/0.97 0.41/0.97 ============================== INPUT ================================= 0.41/0.97 0.41/0.97 % Reading from file /tmp/Prover9_27454_n021.cluster.edu 0.41/0.97 0.41/0.97 set(prolog_style_variables). 0.41/0.97 set(auto2). 0.41/0.97 % set(auto2) -> set(auto). 0.41/0.97 % set(auto) -> set(auto_inference). 0.41/0.97 % set(auto) -> set(auto_setup). 0.41/0.97 % set(auto_setup) -> set(predicate_elim). 0.41/0.97 % set(auto_setup) -> assign(eq_defs, unfold). 0.41/0.97 % set(auto) -> set(auto_limits). 0.41/0.97 % set(auto_limits) -> assign(max_weight, "100.000"). 0.41/0.97 % set(auto_limits) -> assign(sos_limit, 20000). 0.41/0.97 % set(auto) -> set(auto_denials). 0.41/0.97 % set(auto) -> set(auto_process). 0.41/0.97 % set(auto2) -> assign(new_constants, 1). 0.41/0.97 % set(auto2) -> assign(fold_denial_max, 3). 0.41/0.97 % set(auto2) -> assign(max_weight, "200.000"). 0.41/0.97 % set(auto2) -> assign(max_hours, 1). 0.41/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.41/0.97 % set(auto2) -> assign(max_seconds, 0). 0.41/0.97 % set(auto2) -> assign(max_minutes, 5). 0.41/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.41/0.97 % set(auto2) -> set(sort_initial_sos). 0.41/0.97 % set(auto2) -> assign(sos_limit, -1). 0.41/0.97 % set(auto2) -> assign(lrs_ticks, 3000). 0.41/0.97 % set(auto2) -> assign(max_megs, 400). 0.41/0.97 % set(auto2) -> assign(stats, some). 0.41/0.97 % set(auto2) -> clear(echo_input). 0.41/0.97 % set(auto2) -> set(quiet). 0.41/0.97 % set(auto2) -> clear(print_initial_clauses). 0.41/0.97 % set(auto2) -> clear(print_given). 0.41/0.97 assign(lrs_ticks,-1). 0.41/0.97 assign(sos_limit,10000). 0.41/0.97 assign(order,kbo). 0.41/0.97 set(lex_order_vars). 0.41/0.97 clear(print_given). 0.41/0.97 0.41/0.97 % formulas(sos). % not echoed (17 formulas) 0.41/0.97 0.41/0.97 ============================== end of input ========================== 0.41/0.97 0.41/0.97 % From the command line: assign(max_seconds, 1440). 0.41/0.97 0.41/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.41/0.97 0.41/0.97 % Formulas that are not ordinary clauses: 0.41/0.97 1 (all X all A all B (member(X,unordered_pair(A,B)) <-> A = X | B = X)) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 2 (all X all A ((all Y (member(Y,A) -> member(X,Y))) <-> member(X,product(A)))) # label(product) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 3 (all X all A all B (member(X,A) | member(X,B) <-> member(X,union(A,B)))) # label(union) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 4 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 5 (all X all A all B (member(X,A) & member(X,B) <-> member(X,intersection(A,B)))) # label(intersection) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 6 (all B all A all E (member(B,difference(E,A)) <-> member(B,E) & -member(B,A))) # label(difference) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 7 (all X all A (member(X,sum(A)) <-> (exists Y (member(Y,A) & member(X,Y))))) # label(sum) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 8 (all A all B (equal_set(A,B) <-> subset(B,A) & subset(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 9 (all X all A (X = A <-> member(X,singleton(A)))) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 10 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 11 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 12 (all A all B (-(exists X (member(X,B) & member(X,A))) <-> disjoint(A,B))) # label(disjoint) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 13 (all R all E (pre_order(R,E) <-> (all X (member(X,E) -> apply(R,X,X))) & (all X all Y all Z (member(X,E) & member(Y,E) & member(Z,E) -> (apply(R,Y,Z) & apply(R,X,Y) -> apply(R,X,Z)))))) # label(pre_order) # label(axiom) # label(non_clause). [assumption]. 0.41/0.97 14 (all A all R ((all X all Y all Z (member(Y,A) & member(Z,A) & member(X,A) -> (apply(R,Y,Z) & apply(R,X,Y) -> apply(R,X,Z)))) & (all X all Y (member(X,A) & member(Y,A) -> (apply(R,X,Y) -> apply(R,Y,X)))) & (all X (member(X,A) -> apply(R,X,X))) <-> equivalence(R,A))) # label(equivalence) # label(axiom) # label(non_clause). [assumption]. 0.41/0.98 15 (all R all E all A all X (member(X,equivalence_class(A,E,R)) <-> apply(R,A,X) & member(X,E))) # label(equivalence_class) # label(axiom) # label(non_clause). [assumption]. 0.41/0.98 16 (all A all E (partition(A,E) <-> (all X (member(X,E) -> (exists Y (member(X,Y) & member(Y,A))))) & (all X all Y (member(Y,A) & member(X,A) -> ((exists Z (member(Z,X) & member(Z,Y))) -> Y = X))) & (all X (member(X,A) -> subset(X,E))))) # label(partition) # label(axiom) # label(non_clause). [assumption]. 0.41/0.98 17 -(all E all R all A all B (member(A,E) & member(B,E) & equivalence(R,E) -> (equal_set(equivalence_class(A,E,R),equivalence_class(B,E,R)) <-> apply(R,A,B)))) # label(thIII04) # label(negated_conjecture) # label(non_clause). [assumption]. 0.41/0.98 0.41/0.98 ============================== end of process non-clausal formulas === 0.41/0.98 0.41/0.98 ============================== PROCESS INITIAL CLAUSES =============== 0.41/0.98 0.41/0.98 ============================== PREDICATE ELIMINATION ================= 0.41/0.98 18 -member(A,B) | -member(A,C) | -disjoint(C,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.41/0.98 19 member(f4(A,B),B) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.41/0.98 20 member(f4(A,B),A) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.41/0.98 Derived: -member(A,B) | -member(A,C) | member(f4(C,B),B). [resolve(18,c,19,b)]. 0.41/0.98 Derived: -member(A,B) | -member(A,C) | member(f4(C,B),C). [resolve(18,c,20,b)]. 0.41/0.98 21 pre_order(A,B) | member(f5(A,B),B) | member(f6(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 22 -pre_order(A,B) | -member(C,B) | apply(A,C,C) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 23 -pre_order(A,B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: member(f5(A,B),B) | member(f6(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(21,a,22,a)]. 0.41/0.98 Derived: member(f5(A,B),B) | member(f6(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(21,a,23,a)]. 0.41/0.98 24 pre_order(A,B) | member(f5(A,B),B) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: member(f5(A,B),B) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(24,a,22,a)]. 0.41/0.98 Derived: member(f5(A,B),B) | member(f7(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(24,a,23,a)]. 0.41/0.98 25 pre_order(A,B) | member(f5(A,B),B) | member(f8(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: member(f5(A,B),B) | member(f8(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(25,a,22,a)]. 0.41/0.98 Derived: member(f5(A,B),B) | member(f8(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(25,a,23,a)]. 0.41/0.98 26 pre_order(A,B) | member(f5(A,B),B) | apply(A,f7(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: member(f5(A,B),B) | apply(A,f7(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(26,a,22,a)]. 0.41/0.98 Derived: member(f5(A,B),B) | apply(A,f7(A,B),f8(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(26,a,23,a)]. 0.41/0.98 27 pre_order(A,B) | member(f5(A,B),B) | apply(A,f6(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: member(f5(A,B),B) | apply(A,f6(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(27,a,22,a)]. 0.41/0.98 Derived: member(f5(A,B),B) | apply(A,f6(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(27,a,23,a)]. 0.41/0.98 28 pre_order(A,B) | member(f5(A,B),B) | -apply(A,f6(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: member(f5(A,B),B) | -apply(A,f6(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(28,a,22,a)]. 0.41/0.98 Derived: member(f5(A,B),B) | -apply(A,f6(A,B),f8(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(28,a,23,a)]. 0.41/0.98 29 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f6(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f6(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(29,a,22,a)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f6(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(29,a,23,a)]. 0.41/0.98 30 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(30,a,22,a)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f7(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(30,a,23,a)]. 0.41/0.98 31 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f8(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f8(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(31,a,22,a)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f8(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(31,a,23,a)]. 0.41/0.98 32 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | apply(A,f7(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | apply(A,f7(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(32,a,22,a)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | apply(A,f7(A,B),f8(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(32,a,23,a)]. 0.41/0.98 33 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | apply(A,f6(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | apply(A,f6(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(33,a,22,a)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | apply(A,f6(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(33,a,23,a)]. 0.41/0.98 34 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | -apply(A,f6(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | -apply(A,f6(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(34,a,22,a)]. 0.41/0.98 Derived: -apply(A,f5(A,B),f5(A,B)) | -apply(A,f6(A,B),f8(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,D,E) | -apply(A,C,D) | apply(A,C,E). [resolve(34,a,23,a)]. 0.41/0.98 35 -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -equivalence(E,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 36 member(f10(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 37 member(f10(A,B),A) | member(f12(A,B),A) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 38 member(f10(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 39 member(f10(A,B),A) | member(f13(A,B),A) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 40 member(f10(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 41 member(f10(A,B),A) | apply(B,f12(A,B),f13(A,B)) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 42 member(f10(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 43 member(f10(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 44 member(f11(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 45 member(f11(A,B),A) | member(f12(A,B),A) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 46 member(f11(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 47 member(f11(A,B),A) | member(f13(A,B),A) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 48 member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 49 member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 50 member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 51 member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 52 member(f9(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 53 member(f9(A,B),A) | member(f12(A,B),A) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 54 member(f9(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 55 member(f9(A,B),A) | member(f13(A,B),A) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 56 member(f9(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 57 member(f9(A,B),A) | apply(B,f12(A,B),f13(A,B)) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 58 member(f9(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 59 member(f9(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | -apply(B,f14(A,B),f14(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 60 apply(A,f10(B,A),f11(B,A)) | member(f12(B,A),B) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 61 apply(A,f10(B,A),f11(B,A)) | member(f12(B,A),B) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 62 apply(A,f10(B,A),f11(B,A)) | member(f13(B,A),B) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 63 apply(A,f10(B,A),f11(B,A)) | member(f13(B,A),B) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 64 apply(A,f10(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 65 apply(A,f10(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 66 apply(A,f10(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 67 apply(A,f10(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 68 apply(A,f9(B,A),f10(B,A)) | member(f12(B,A),B) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 69 apply(A,f9(B,A),f10(B,A)) | member(f12(B,A),B) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 70 apply(A,f9(B,A),f10(B,A)) | member(f13(B,A),B) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 71 apply(A,f9(B,A),f10(B,A)) | member(f13(B,A),B) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.98 72 apply(A,f9(B,A),f10(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 73 apply(A,f9(B,A),f10(B,A)) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 74 apply(A,f9(B,A),f10(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 75 apply(A,f9(B,A),f10(B,A)) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 76 -apply(A,f9(B,A),f11(B,A)) | member(f12(B,A),B) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 77 -apply(A,f9(B,A),f11(B,A)) | member(f12(B,A),B) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 78 -apply(A,f9(B,A),f11(B,A)) | member(f13(B,A),B) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 79 -apply(A,f9(B,A),f11(B,A)) | member(f13(B,A),B) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 80 -apply(A,f9(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 81 -apply(A,f9(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 82 -apply(A,f9(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 83 -apply(A,f9(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f14(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(35,g,36,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,37,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(35,g,38,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,39,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(35,g,40,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,41,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(35,g,42,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,43,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(35,g,44,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,45,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(35,g,46,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,47,d)]. 0.41/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(35,g,48,d)]. 0.71/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,49,d)]. 0.71/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(35,g,50,d)]. 0.71/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,51,d)]. 0.71/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(35,g,52,d)]. 0.71/0.99 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,53,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(35,g,54,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,55,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(35,g,56,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,57,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(35,g,58,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f9(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,59,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(35,g,60,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,61,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(35,g,62,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,63,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(35,g,64,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,65,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(35,g,66,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,67,d)]. 0.71/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(35,g,68,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,69,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(35,g,70,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,71,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(35,g,72,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,73,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(35,g,74,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f9(B,E),f10(B,E)) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,75,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(35,g,76,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,77,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(35,g,78,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,79,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(35,g,80,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,81,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(35,g,82,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | -apply(E,f9(B,E),f11(B,E)) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(35,g,83,d)]. 0.71/1.01 84 -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -equivalence(D,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | member(f12(B,D),B) | member(f14(B,D),B). [resolve(84,e,36,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | member(f12(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,37,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | member(f13(B,D),B) | member(f14(B,D),B). [resolve(84,e,38,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | member(f13(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,39,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | apply(D,f12(B,D),f13(B,D)) | member(f14(B,D),B). [resolve(84,e,40,d)]. 0.71/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | apply(D,f12(B,D),f13(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,41,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | -apply(D,f13(B,D),f12(B,D)) | member(f14(B,D),B). [resolve(84,e,42,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f10(B,D),B) | -apply(D,f13(B,D),f12(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,43,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | member(f12(B,D),B) | member(f14(B,D),B). [resolve(84,e,44,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | member(f12(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,45,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | member(f13(B,D),B) | member(f14(B,D),B). [resolve(84,e,46,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | member(f13(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,47,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | apply(D,f12(B,D),f13(B,D)) | member(f14(B,D),B). [resolve(84,e,48,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | apply(D,f12(B,D),f13(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,49,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | -apply(D,f13(B,D),f12(B,D)) | member(f14(B,D),B). [resolve(84,e,50,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f11(B,D),B) | -apply(D,f13(B,D),f12(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,51,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | member(f12(B,D),B) | member(f14(B,D),B). [resolve(84,e,52,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | member(f12(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,53,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | member(f13(B,D),B) | member(f14(B,D),B). [resolve(84,e,54,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | member(f13(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,55,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | apply(D,f12(B,D),f13(B,D)) | member(f14(B,D),B). [resolve(84,e,56,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | apply(D,f12(B,D),f13(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,57,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | -apply(D,f13(B,D),f12(B,D)) | member(f14(B,D),B). [resolve(84,e,58,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f9(B,D),B) | -apply(D,f13(B,D),f12(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,59,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | member(f12(B,D),B) | member(f14(B,D),B). [resolve(84,e,60,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | member(f12(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,61,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | member(f13(B,D),B) | member(f14(B,D),B). [resolve(84,e,62,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | member(f13(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,63,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | apply(D,f12(B,D),f13(B,D)) | member(f14(B,D),B). [resolve(84,e,64,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | apply(D,f12(B,D),f13(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,65,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | -apply(D,f13(B,D),f12(B,D)) | member(f14(B,D),B). [resolve(84,e,66,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f10(B,D),f11(B,D)) | -apply(D,f13(B,D),f12(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,67,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | member(f12(B,D),B) | member(f14(B,D),B). [resolve(84,e,68,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | member(f12(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,69,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | member(f13(B,D),B) | member(f14(B,D),B). [resolve(84,e,70,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | member(f13(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,71,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | apply(D,f12(B,D),f13(B,D)) | member(f14(B,D),B). [resolve(84,e,72,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | apply(D,f12(B,D),f13(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,73,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | -apply(D,f13(B,D),f12(B,D)) | member(f14(B,D),B). [resolve(84,e,74,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | apply(D,f9(B,D),f10(B,D)) | -apply(D,f13(B,D),f12(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,75,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | member(f12(B,D),B) | member(f14(B,D),B). [resolve(84,e,76,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | member(f12(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,77,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | member(f13(B,D),B) | member(f14(B,D),B). [resolve(84,e,78,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | member(f13(B,D),B) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,79,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | apply(D,f12(B,D),f13(B,D)) | member(f14(B,D),B). [resolve(84,e,80,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | apply(D,f12(B,D),f13(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,81,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | -apply(D,f13(B,D),f12(B,D)) | member(f14(B,D),B). [resolve(84,e,82,d)]. 0.71/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f9(B,D),f11(B,D)) | -apply(D,f13(B,D),f12(B,D)) | -apply(D,f14(B,D),f14(B,D)). [resolve(84,e,83,d)]. 0.71/1.02 85 -member(A,B) | apply(C,A,A) | -equivalence(C,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(85,c,36,d)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f12(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,37,d)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(85,c,38,d)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f13(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,39,d)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | apply(C,f12(B,C),f13(B,C)) | member(f14(B,C),B). [resolve(85,c,40,d)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | apply(C,f12(B,C),f13(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,41,d)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | -apply(C,f13(B,C),f12(B,C)) | member(f14(B,C),B). [resolve(85,c,42,d)]. 0.71/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | -apply(C,f13(B,C),f12(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,43,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(85,c,44,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f12(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,45,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(85,c,46,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f13(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,47,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | apply(C,f12(B,C),f13(B,C)) | member(f14(B,C),B). [resolve(85,c,48,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | apply(C,f12(B,C),f13(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,49,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | -apply(C,f13(B,C),f12(B,C)) | member(f14(B,C),B). [resolve(85,c,50,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | -apply(C,f13(B,C),f12(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,51,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(85,c,52,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f12(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,53,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(85,c,54,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f13(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,55,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | apply(C,f12(B,C),f13(B,C)) | member(f14(B,C),B). [resolve(85,c,56,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | apply(C,f12(B,C),f13(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,57,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | -apply(C,f13(B,C),f12(B,C)) | member(f14(B,C),B). [resolve(85,c,58,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | -apply(C,f13(B,C),f12(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,59,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(85,c,60,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | member(f12(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,61,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(85,c,62,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | member(f13(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,63,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | apply(C,f12(B,C),f13(B,C)) | member(f14(B,C),B). [resolve(85,c,64,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | apply(C,f12(B,C),f13(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,65,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | -apply(C,f13(B,C),f12(B,C)) | member(f14(B,C),B). [resolve(85,c,66,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f10(B,C),f11(B,C)) | -apply(C,f13(B,C),f12(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,67,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(85,c,68,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | member(f12(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,69,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(85,c,70,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | member(f13(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,71,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | apply(C,f12(B,C),f13(B,C)) | member(f14(B,C),B). [resolve(85,c,72,d)]. 0.71/1.03 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | apply(C,f12(B,C),f13(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,73,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | -apply(C,f13(B,C),f12(B,C)) | member(f14(B,C),B). [resolve(85,c,74,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | apply(C,f9(B,C),f10(B,C)) | -apply(C,f13(B,C),f12(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,75,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(85,c,76,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | member(f12(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,77,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(85,c,78,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | member(f13(B,C),B) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,79,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | apply(C,f12(B,C),f13(B,C)) | member(f14(B,C),B). [resolve(85,c,80,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | apply(C,f12(B,C),f13(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,81,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | -apply(C,f13(B,C),f12(B,C)) | member(f14(B,C),B). [resolve(85,c,82,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f9(B,C),f11(B,C)) | -apply(C,f13(B,C),f12(B,C)) | -apply(C,f14(B,C),f14(B,C)). [resolve(85,c,83,d)]. 0.71/1.05 86 equivalence(c2,c1) # label(thIII04) # label(negated_conjecture). [clausify(17)]. 0.71/1.05 Derived: -member(A,c1) | -member(B,c1) | -member(C,c1) | -apply(c2,A,B) | -apply(c2,C,A) | apply(c2,C,B). [resolve(86,a,35,g)]. 0.71/1.05 Derived: -member(A,c1) | -member(B,c1) | -apply(c2,A,B) | apply(c2,B,A). [resolve(86,a,84,e)]. 0.71/1.05 Derived: -member(A,c1) | apply(c2,A,A). [resolve(86,a,85,c)]. 0.71/1.05 87 partition(A,B) | member(f16(A,B),B) | member(f18(A,B),A) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 88 -partition(A,B) | -member(C,B) | member(C,f15(A,B,C)) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 89 -partition(A,B) | -member(C,B) | member(f15(A,B,C),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 90 -partition(A,B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 91 -partition(A,B) | -member(C,A) | subset(C,B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(87,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(87,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(87,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(87,a,91,a)]. 0.71/1.05 92 partition(A,B) | member(f16(A,B),B) | member(f18(A,B),A) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(92,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(92,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(92,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(92,a,91,a)]. 0.71/1.05 93 partition(A,B) | member(f16(A,B),B) | member(f17(A,B),A) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(93,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(93,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(93,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(93,a,91,a)]. 0.71/1.05 94 partition(A,B) | member(f16(A,B),B) | member(f17(A,B),A) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(94,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(94,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(94,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(94,a,91,a)]. 0.71/1.05 95 partition(A,B) | member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(95,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(95,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(95,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(95,a,91,a)]. 0.71/1.05 96 partition(A,B) | member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(96,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(96,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(96,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(96,a,91,a)]. 0.71/1.05 97 partition(A,B) | member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(97,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(97,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(97,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(97,a,91,a)]. 0.71/1.05 98 partition(A,B) | member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(98,a,88,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(98,a,89,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(98,a,90,a)]. 0.71/1.05 Derived: member(f16(A,B),B) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(98,a,91,a)]. 0.71/1.05 99 partition(A,B) | member(f16(A,B),B) | f18(A,B) != f17(A,B) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.05 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(C,B) | member(C,f15(A,B,C)). [resolve(99,a,88,a)]. 0.71/1.06 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(C,B) | member(f15(A,B,C),A). [resolve(99,a,89,a)]. 0.71/1.06 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(99,a,90,a)]. 0.71/1.06 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(99,a,91,a)]. 0.71/1.06 100 partition(A,B) | member(f16(A,B),B) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.06 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(C,B) | member(C,f15(A,B,C)). [resolve(100,a,88,a)]. 0.71/1.06 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(C,B) | member(f15(A,B,C),A). [resolve(100,a,89,a)]. 0.71/1.06 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D. [resolve(100,a,90,a)]. 0.71/1.06 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(100,a,91,a)]. 0.71/1.06 101 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(101,a,88,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(101,a,89,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(101,a,90,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(101,a,91,a)]. 0.71/1.06 102 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(102,a,88,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(102,a,89,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(102,a,90,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(102,a,91,a)]. 0.71/1.06 103 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(103,a,88,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(103,a,89,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(103,a,90,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(103,a,91,a)]. 0.71/1.06 104 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(104,a,88,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(104,a,89,a)]. 0.71/1.06 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(104,a,90,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(104,a,91,a)]. 0.71/1.07 105 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(105,a,88,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(105,a,89,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(105,a,90,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(105,a,91,a)]. 0.71/1.07 106 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(106,a,88,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(106,a,89,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(106,a,90,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f17(A,B)) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(106,a,91,a)]. 0.71/1.07 107 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(107,a,88,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(107,a,89,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(107,a,90,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(107,a,91,a)]. 0.71/1.07 108 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(108,a,88,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(108,a,89,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(108,a,90,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | member(f19(A,B),f18(A,B)) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(108,a,91,a)]. 0.71/1.07 109 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(D,B) | member(D,f15(A,B,D)). [resolve(109,a,88,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(D,B) | member(f15(A,B,D),A). [resolve(109,a,89,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(109,a,90,a)]. 0.71/1.07 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(D,A) | subset(D,B). [resolve(109,a,91,a)]. 2.37/2.68 110 partition(A,B) | -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 2.37/2.68 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(D,B) | member(D,f15(A,B,D)). [resolve(110,a,88,a)]. 2.37/2.68 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(D,B) | member(f15(A,B,D),A). [resolve(110,a,89,a)]. 2.37/2.68 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(D,A) | -member(E,A) | -member(F,E) | -member(F,D) | D = E. [resolve(110,a,90,a)]. 2.37/2.68 Derived: -member(f16(A,B),C) | -member(C,A) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(D,A) | subset(D,B). [resolve(110,a,91,a)]. 2.37/2.68 2.37/2.68 ============================== end predicate elimination ============= 2.37/2.68 2.37/2.68 Auto_denials: (non-Horn, no changes). 2.37/2.68 2.37/2.68 Term ordering decisions: 2.37/2.68 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. intersection=1. union=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f16=1. f17=1. f18=1. f19=1. f20=1. product=1. sum=1. power_set=1. singleton=1. equivalence_class=1. f15=1. 2.37/2.68 2.37/2.68 ============================== end of process initial clauses ======== 2.37/2.68 2.37/2.68 ============================== CLAUSES FOR SEARCH ==================== 2.37/2.68 2.37/2.68 ============================== end of clauses for search ============= 2.37/2.68 2.37/2.68 ============================== SEARCH ================================ 2.37/2.68 2.37/2.68 % Starting search at 0.19 seconds. 2.37/2.68 2.37/2.68 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 0.38 sec). 2.37/2.68 2.37/2.68 Low Water (keep): wt=54.000, iters=3449 2.37/2.68 2.37/2.68 Low Water (keep): wt=52.000, iters=3377 2.37/2.68 2.37/2.68 Low Water (keep): wt=51.000, iters=3356 2.37/2.68 2.37/2.68 Low Water (keep): wt=50.000, iters=3348 2.37/2.68 2.37/2.68 Low Water (keep): wt=46.000, iters=3346 2.37/2.68 2.37/2.68 Low Water (keep): wt=45.000, iters=3373 2.37/2.68 2.37/2.68 Low Water (keep): wt=44.000, iters=3370 2.37/2.68 2.37/2.68 Low Water (keep): wt=43.000, iters=3351 2.37/2.68 2.37/2.68 Low Water (keep): wt=41.000, iters=3368 2.37/2.68 2.37/2.68 Low Water (keep): wt=40.000, iters=3351 2.37/2.68 2.37/2.68 Low Water (keep): wt=39.000, iters=3363 2.37/2.68 2.37/2.68 Low Water (keep): wt=37.000, iters=3344 2.37/2.68 2.37/2.68 Low Water (keep): wt=36.000, iters=3339 2.37/2.68 2.37/2.68 Low Water (keep): wt=35.000, iters=3336 2.37/2.68 2.37/2.68 Low Water (keep): wt=34.000, iters=3357 2.37/2.68 2.37/2.68 Low Water (keep): wt=33.000, iters=3338 2.37/2.68 2.37/2.68 Low Water (displace): id=3697, wt=82.000 2.37/2.68 2.37/2.68 Low Water (displace): id=3757, wt=80.000 2.37/2.68 2.37/2.68 Low Water (displace): id=3944, wt=79.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4089, wt=77.000 2.37/2.68 2.37/2.68 Low Water (displace): id=3679, wt=76.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4173, wt=75.000 2.37/2.68 2.37/2.68 Low Water (displace): id=3739, wt=74.000 2.37/2.68 2.37/2.68 Low Water (displace): id=3686, wt=73.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4255, wt=72.000 2.37/2.68 2.37/2.68 Low Water (displace): id=3746, wt=71.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4395, wt=70.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4368, wt=69.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4415, wt=68.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4370, wt=67.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4420, wt=66.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4425, wt=65.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4328, wt=64.000 2.37/2.68 2.37/2.68 Low Water (displace): id=6345, wt=63.000 2.37/2.68 2.37/2.68 Low Water (displace): id=3787, wt=62.000 2.37/2.68 2.37/2.68 Low Water (displace): id=6353, wt=61.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4259, wt=60.000 2.37/2.68 2.37/2.68 Low Water (displace): id=6145, wt=59.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4287, wt=58.000 2.37/2.68 2.37/2.68 Low Water (displace): id=6189, wt=57.000 2.37/2.68 2.37/2.68 Low Water (displace): id=6150, wt=56.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4215, wt=55.000 2.37/2.68 2.37/2.68 Low Water (displace): id=6194, wt=54.000 2.37/2.68 2.37/2.68 Low Water (displace): id=6248, wt=53.000 2.37/2.68 2.37/2.68 Low Water (displace): id=4968, wt=52.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11605, wt=32.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11679, wt=31.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11684, wt=29.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11691, wt=27.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11693, wt=24.000 2.37/2.68 2.37/2.68 Low Water (keep): wt=32.000, iters=3365 2.37/2.68 2.37/2.68 Low Water (displace): id=11764, wt=15.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11785, wt=13.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11839, wt=12.000 2.37/2.68 2.37/2.68 Low Water (displace): id=11859, wt=11.000 2.37/2.68 2.37/2.68 Low Water (displace): id=12459, wt=10.000 2.37/2.68 2.37/2.68 Low Water (keep): wt=31.000, iters=3377 2.37/2.68 2.37/2.68 Low Alarm clock 179.74/180.01 Prover9 interrupted 179.74/180.02 EOF