0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n020.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 03:22:31 EDT 2023 0.12/0.34 % CPUTime : 0.44/0.99 ============================== Prover9 =============================== 0.44/0.99 Prover9 (32) version 2009-11A, November 2009. 0.44/0.99 Process 26620 was started by sandbox on n020.cluster.edu, 0.44/0.99 Mon Jul 3 03:22:32 2023 0.44/0.99 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_26466_n020.cluster.edu". 0.44/0.99 ============================== end of head =========================== 0.44/0.99 0.44/0.99 ============================== INPUT ================================= 0.44/0.99 0.44/0.99 % Reading from file /tmp/Prover9_26466_n020.cluster.edu 0.44/0.99 0.44/0.99 set(prolog_style_variables). 0.44/0.99 set(auto2). 0.44/0.99 % set(auto2) -> set(auto). 0.44/0.99 % set(auto) -> set(auto_inference). 0.44/0.99 % set(auto) -> set(auto_setup). 0.44/0.99 % set(auto_setup) -> set(predicate_elim). 0.44/0.99 % set(auto_setup) -> assign(eq_defs, unfold). 0.44/0.99 % set(auto) -> set(auto_limits). 0.44/0.99 % set(auto_limits) -> assign(max_weight, "100.000"). 0.44/0.99 % set(auto_limits) -> assign(sos_limit, 20000). 0.44/0.99 % set(auto) -> set(auto_denials). 0.44/0.99 % set(auto) -> set(auto_process). 0.44/0.99 % set(auto2) -> assign(new_constants, 1). 0.44/0.99 % set(auto2) -> assign(fold_denial_max, 3). 0.44/0.99 % set(auto2) -> assign(max_weight, "200.000"). 0.44/0.99 % set(auto2) -> assign(max_hours, 1). 0.44/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.44/0.99 % set(auto2) -> assign(max_seconds, 0). 0.44/0.99 % set(auto2) -> assign(max_minutes, 5). 0.44/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.44/0.99 % set(auto2) -> set(sort_initial_sos). 0.44/0.99 % set(auto2) -> assign(sos_limit, -1). 0.44/0.99 % set(auto2) -> assign(lrs_ticks, 3000). 0.44/0.99 % set(auto2) -> assign(max_megs, 400). 0.44/0.99 % set(auto2) -> assign(stats, some). 0.44/0.99 % set(auto2) -> clear(echo_input). 0.44/0.99 % set(auto2) -> set(quiet). 0.44/0.99 % set(auto2) -> clear(print_initial_clauses). 0.44/0.99 % set(auto2) -> clear(print_given). 0.44/0.99 assign(lrs_ticks,-1). 0.44/0.99 assign(sos_limit,10000). 0.44/0.99 assign(order,kbo). 0.44/0.99 set(lex_order_vars). 0.44/0.99 clear(print_given). 0.44/0.99 0.44/0.99 % formulas(sos). % not echoed (17 formulas) 0.44/0.99 0.44/0.99 ============================== end of input ========================== 0.44/0.99 0.44/0.99 % From the command line: assign(max_seconds, 1440). 0.44/0.99 0.44/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.44/0.99 0.44/0.99 % Formulas that are not ordinary clauses: 0.44/0.99 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]. 0.44/0.99 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]. 0.44/0.99 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]. 0.44/0.99 4 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.44/0.99 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]. 0.44/0.99 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]. 0.44/0.99 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]. 0.44/0.99 8 (all A all B (equal_set(A,B) <-> subset(B,A) & subset(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.44/0.99 9 (all X all A (X = A <-> member(X,singleton(A)))) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.44/0.99 10 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.44/0.99 11 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.44/0.99 12 (all A all B (-(exists X (member(X,B) & member(X,A))) <-> disjoint(A,B))) # label(disjoint) # label(axiom) # label(non_clause). [assumption]. 0.44/0.99 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]. 0.44/0.99 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]. 0.44/1.00 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]. 0.44/1.00 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]. 0.44/1.00 17 -(all E all P all R (pre_order(P,E) & (all A all B (member(A,E) & member(B,E) -> (apply(P,A,B) & apply(P,B,A) <-> apply(R,A,B)))) -> (all X1 all X2 all Y1 all Y2 (member(X1,E) & member(X2,E) & member(Y2,E) & member(Y1,E) -> (apply(P,X1,X2) & apply(R,X2,Y2) & apply(R,X1,Y1) -> apply(P,Y1,Y2)))))) # label(thIII12) # label(negated_conjecture) # label(non_clause). [assumption]. 0.44/1.00 0.44/1.00 ============================== end of process non-clausal formulas === 0.44/1.00 0.44/1.00 ============================== PROCESS INITIAL CLAUSES =============== 0.44/1.00 0.44/1.00 ============================== PREDICATE ELIMINATION ================= 0.44/1.00 18 equal_set(A,B) | -subset(B,A) | -subset(A,B) # label(equal_set) # label(axiom). [clausify(8)]. 0.44/1.00 19 -equal_set(A,B) | subset(B,A) # label(equal_set) # label(axiom). [clausify(8)]. 0.44/1.00 20 -equal_set(A,B) | subset(A,B) # label(equal_set) # label(axiom). [clausify(8)]. 0.44/1.00 21 -member(A,B) | -member(A,C) | -disjoint(C,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.44/1.00 22 member(f4(A,B),B) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.44/1.00 23 member(f4(A,B),A) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.44/1.00 Derived: -member(A,B) | -member(A,C) | member(f4(C,B),B). [resolve(21,c,22,b)]. 0.44/1.00 Derived: -member(A,B) | -member(A,C) | member(f4(C,B),C). [resolve(21,c,23,b)]. 0.44/1.00 24 pre_order(A,B) | member(f5(A,B),B) | member(f6(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 25 -pre_order(A,B) | -member(C,B) | apply(A,C,C) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 26 -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)]. 0.44/1.00 Derived: member(f5(A,B),B) | member(f6(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(24,a,25,a)]. 0.44/1.00 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(24,a,26,a)]. 0.44/1.00 27 pre_order(A,B) | member(f5(A,B),B) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: member(f5(A,B),B) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(27,a,25,a)]. 0.44/1.00 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(27,a,26,a)]. 0.44/1.00 28 pre_order(A,B) | member(f5(A,B),B) | member(f8(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: member(f5(A,B),B) | member(f8(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(28,a,25,a)]. 0.44/1.00 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(28,a,26,a)]. 0.44/1.00 29 pre_order(A,B) | member(f5(A,B),B) | apply(A,f7(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: member(f5(A,B),B) | apply(A,f7(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(29,a,25,a)]. 0.44/1.00 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(29,a,26,a)]. 0.44/1.00 30 pre_order(A,B) | member(f5(A,B),B) | apply(A,f6(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: member(f5(A,B),B) | apply(A,f6(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(30,a,25,a)]. 0.44/1.00 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(30,a,26,a)]. 0.44/1.00 31 pre_order(A,B) | member(f5(A,B),B) | -apply(A,f6(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: member(f5(A,B),B) | -apply(A,f6(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(31,a,25,a)]. 0.44/1.00 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(31,a,26,a)]. 0.44/1.00 32 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f6(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f6(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(32,a,25,a)]. 0.44/1.00 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(32,a,26,a)]. 0.44/1.00 33 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(33,a,25,a)]. 0.44/1.00 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(33,a,26,a)]. 0.44/1.00 34 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f8(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.44/1.00 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f8(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(34,a,25,a)]. 0.44/1.00 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(34,a,26,a)]. 0.44/1.00 35 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)]. 0.44/1.00 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(35,a,25,a)]. 0.44/1.00 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(35,a,26,a)]. 0.44/1.00 36 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)]. 0.44/1.00 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(36,a,25,a)]. 0.44/1.00 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(36,a,26,a)]. 0.44/1.00 37 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)]. 0.44/1.00 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(37,a,25,a)]. 0.44/1.00 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(37,a,26,a)]. 0.44/1.00 38 pre_order(c2,c1) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 0.44/1.00 Derived: -member(A,c1) | apply(c2,A,A). [resolve(38,a,25,a)]. 0.44/1.00 Derived: -member(A,c1) | -member(B,c1) | -member(C,c1) | -apply(c2,B,C) | -apply(c2,A,B) | apply(c2,A,C). [resolve(38,a,26,a)]. 0.44/1.00 39 -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)]. 0.44/1.00 40 member(f10(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.00 41 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)]. 0.44/1.00 42 member(f10(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.00 43 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)]. 0.44/1.00 44 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)]. 0.44/1.00 45 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)]. 0.44/1.00 46 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)]. 0.44/1.00 47 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)]. 0.44/1.00 48 member(f11(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.00 49 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)]. 0.44/1.00 50 member(f11(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.00 51 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)]. 0.44/1.00 52 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)]. 0.44/1.00 53 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)]. 0.44/1.00 54 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)]. 0.44/1.00 55 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)]. 0.44/1.00 56 member(f9(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.00 57 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)]. 0.44/1.00 58 member(f9(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.00 59 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)]. 0.44/1.00 60 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)]. 0.44/1.00 61 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)]. 0.44/1.00 62 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)]. 0.44/1.00 63 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)]. 0.44/1.00 64 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)]. 0.44/1.00 65 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)]. 0.44/1.00 66 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)]. 0.44/1.00 67 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)]. 0.44/1.00 68 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)]. 0.44/1.00 69 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)]. 0.44/1.00 70 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)]. 0.44/1.00 71 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)]. 0.44/1.00 72 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)]. 0.44/1.00 73 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)]. 0.44/1.00 74 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)]. 0.44/1.00 75 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)]. 0.44/1.00 76 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)]. 0.44/1.00 77 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)]. 0.44/1.00 78 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)]. 0.44/1.00 79 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)]. 0.44/1.00 80 -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)]. 0.44/1.00 81 -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)]. 0.44/1.00 82 -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)]. 0.44/1.00 83 -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)]. 0.44/1.00 84 -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)]. 0.44/1.00 85 -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)]. 0.44/1.00 86 -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)]. 0.44/1.00 87 -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)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(39,g,40,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,41,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(39,g,42,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,43,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(39,g,44,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,45,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(39,g,46,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,47,d)]. 0.44/1.00 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f11(B,E),B) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(39,g,48,d)]. 0.44/1.01 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(39,g,49,d)]. 0.44/1.01 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(39,g,50,d)]. 0.44/1.01 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(39,g,51,d)]. 0.44/1.01 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(39,g,52,d)]. 0.44/1.01 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(39,g,53,d)]. 0.44/1.01 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(39,g,54,d)]. 0.44/1.01 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(39,g,55,d)]. 0.44/1.01 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(39,g,56,d)]. 0.44/1.01 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(39,g,57,d)]. 0.44/1.01 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(39,g,58,d)]. 0.44/1.01 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(39,g,59,d)]. 0.44/1.01 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(39,g,60,d)]. 0.44/1.01 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(39,g,61,d)]. 0.44/1.01 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(39,g,62,d)]. 0.44/1.01 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(39,g,63,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(39,g,64,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,65,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(39,g,66,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,67,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(39,g,68,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,69,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(39,g,70,d)]. 0.44/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | apply(E,f10(B,E),f11(B,E)) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(39,g,71,d)]. 0.44/1.01 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) | member(f14(B,E),B). [resolve(39,g,72,d)]. 0.44/1.01 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(39,g,73,d)]. 0.44/1.01 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(39,g,74,d)]. 0.44/1.01 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(39,g,75,d)]. 0.44/1.01 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(39,g,76,d)]. 0.44/1.01 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(39,g,77,d)]. 0.44/1.01 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(39,g,78,d)]. 0.44/1.01 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(39,g,79,d)]. 0.44/1.01 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(39,g,80,d)]. 0.44/1.01 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(39,g,81,d)]. 0.44/1.01 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(39,g,82,d)]. 0.44/1.01 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(39,g,83,d)]. 0.44/1.01 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(39,g,84,d)]. 0.44/1.01 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(39,g,85,d)]. 0.44/1.01 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(39,g,86,d)]. 0.44/1.01 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(39,g,87,d)]. 0.44/1.01 88 -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -equivalence(D,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.01 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(88,e,40,d)]. 0.44/1.01 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(88,e,41,d)]. 0.44/1.02 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(88,e,42,d)]. 0.44/1.02 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(88,e,43,d)]. 0.44/1.02 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(88,e,44,d)]. 0.44/1.02 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(88,e,45,d)]. 0.44/1.02 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(88,e,46,d)]. 0.44/1.02 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(88,e,47,d)]. 0.44/1.02 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(88,e,48,d)]. 0.44/1.02 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(88,e,49,d)]. 0.44/1.02 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(88,e,50,d)]. 0.44/1.02 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(88,e,51,d)]. 0.44/1.02 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(88,e,52,d)]. 0.44/1.02 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(88,e,53,d)]. 0.44/1.02 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(88,e,54,d)]. 0.44/1.02 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(88,e,55,d)]. 0.44/1.02 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(88,e,56,d)]. 0.44/1.02 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(88,e,57,d)]. 0.44/1.02 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(88,e,58,d)]. 0.44/1.02 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(88,e,59,d)]. 0.44/1.02 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(88,e,60,d)]. 0.44/1.02 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(88,e,61,d)]. 0.44/1.02 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(88,e,62,d)]. 0.44/1.02 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(88,e,63,d)]. 0.44/1.02 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(88,e,64,d)]. 0.44/1.02 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(88,e,65,d)]. 0.44/1.02 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(88,e,66,d)]. 0.44/1.02 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(88,e,67,d)]. 0.44/1.02 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(88,e,68,d)]. 0.44/1.02 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(88,e,69,d)]. 0.44/1.02 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(88,e,70,d)]. 0.44/1.02 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(88,e,71,d)]. 0.44/1.02 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(88,e,72,d)]. 0.44/1.02 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(88,e,73,d)]. 0.44/1.02 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(88,e,74,d)]. 0.44/1.02 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(88,e,75,d)]. 0.44/1.02 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(88,e,76,d)]. 0.44/1.02 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(88,e,77,d)]. 0.44/1.02 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(88,e,78,d)]. 0.44/1.02 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(88,e,79,d)]. 0.44/1.02 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(88,e,80,d)]. 0.44/1.02 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(88,e,81,d)]. 0.44/1.02 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(88,e,82,d)]. 0.44/1.02 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(88,e,83,d)]. 0.44/1.02 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(88,e,84,d)]. 0.44/1.02 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(88,e,85,d)]. 0.44/1.02 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(88,e,86,d)]. 0.44/1.02 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(88,e,87,d)]. 0.44/1.02 89 -member(A,B) | apply(C,A,A) | -equivalence(C,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.44/1.02 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(89,c,40,d)]. 0.44/1.02 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(89,c,41,d)]. 0.44/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(89,c,42,d)]. 0.44/1.03 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(89,c,43,d)]. 0.44/1.03 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(89,c,44,d)]. 0.44/1.03 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(89,c,45,d)]. 0.44/1.03 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(89,c,46,d)]. 0.44/1.03 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(89,c,47,d)]. 0.44/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(89,c,48,d)]. 0.44/1.03 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(89,c,49,d)]. 0.44/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(89,c,50,d)]. 0.44/1.03 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(89,c,51,d)]. 0.44/1.03 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(89,c,52,d)]. 0.44/1.03 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(89,c,53,d)]. 0.44/1.03 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(89,c,54,d)]. 0.44/1.03 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(89,c,55,d)]. 0.44/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(89,c,56,d)]. 0.44/1.03 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(89,c,57,d)]. 0.44/1.03 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(89,c,58,d)]. 0.44/1.03 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(89,c,59,d)]. 0.44/1.03 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(89,c,60,d)]. 0.44/1.03 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(89,c,61,d)]. 0.44/1.03 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(89,c,62,d)]. 0.44/1.03 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(89,c,63,d)]. 0.44/1.03 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(89,c,64,d)]. 0.44/1.03 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(89,c,65,d)]. 0.44/1.03 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(89,c,66,d)]. 0.44/1.03 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(89,c,67,d)]. 0.44/1.03 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(89,c,68,d)]. 0.44/1.03 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(89,c,69,d)]. 0.44/1.03 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(89,c,70,d)]. 0.44/1.03 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(89,c,71,d)]. 0.44/1.03 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(89,c,72,d)]. 0.44/1.04 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(89,c,73,d)]. 0.44/1.04 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(89,c,74,d)]. 0.44/1.04 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(89,c,75,d)]. 0.44/1.04 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(89,c,76,d)]. 0.44/1.04 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(89,c,77,d)]. 0.44/1.04 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(89,c,78,d)]. 0.44/1.04 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(89,c,79,d)]. 0.44/1.04 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(89,c,80,d)]. 0.44/1.04 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(89,c,81,d)]. 0.44/1.04 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(89,c,82,d)]. 0.44/1.04 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(89,c,83,d)]. 0.44/1.04 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(89,c,84,d)]. 0.44/1.04 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(89,c,85,d)]. 0.44/1.04 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(89,c,86,d)]. 0.44/1.04 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(89,c,87,d)]. 0.44/1.04 90 partition(A,B) | member(f16(A,B),B) | member(f18(A,B),A) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.44/1.04 91 -partition(A,B) | -member(C,B) | member(C,f15(A,B,C)) # label(partition) # label(axiom). [clausify(16)]. 0.44/1.04 92 -partition(A,B) | -member(C,B) | member(f15(A,B,C),A) # label(partition) # label(axiom). [clausify(16)]. 0.44/1.04 93 -partition(A,B) | -member(C,A) | -member(D,A) | -member(E,D) | -member(E,C) | C = D # label(partition) # label(axiom). [clausify(16)]. 0.44/1.04 94 -partition(A,B) | -member(C,A) | subset(C,B) # label(partition) # label(axiom). [clausify(16)]. 0.44/1.04 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(90,a,91,a)]. 0.44/1.04 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(90,a,92,a)]. 0.44/1.04 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(90,a,93,a)]. 0.44/1.04 Derived: member(f16(A,B),B) | member(f18(A,B),A) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(90,a,94,a)]. 0.44/1.04 95 partition(A,B) | member(f16(A,B),B) | member(f18(A,B),A) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.44/1.04 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(95,a,91,a)]. 0.44/1.04 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(95,a,92,a)]. 0.44/1.04 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(95,a,93,a)]. 0.44/1.04 Derived: member(f16(A,B),B) | member(f18(A,B),A) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(95,a,94,a)]. 0.44/1.04 96 partition(A,B) | member(f16(A,B),B) | member(f17(A,B),A) | member(f20(A,B),A) # label(partition) # label(axiom). [clausify(16)]. 0.74/1.04 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(96,a,91,a)]. 0.74/1.04 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(96,a,92,a)]. 0.74/1.04 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(96,a,93,a)]. 0.74/1.04 Derived: member(f16(A,B),B) | member(f17(A,B),A) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(96,a,94,a)]. 0.74/1.04 97 partition(A,B) | member(f16(A,B),B) | member(f17(A,B),A) | -subset(f20(A,B),B) # label(partition) # label(axiom). [clausify(16)]. 0.74/1.04 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(97,a,91,a)]. 0.74/1.04 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(97,a,92,a)]. 0.74/1.04 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(97,a,93,a)]. 0.74/1.04 Derived: member(f16(A,B),B) | member(f17(A,B),A) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(97,a,94,a)]. 0.74/1.04 98 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)]. 0.74/1.04 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(98,a,91,a)]. 0.74/1.04 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(98,a,92,a)]. 0.74/1.04 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(98,a,93,a)]. 0.74/1.04 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(98,a,94,a)]. 0.74/1.04 99 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)]. 0.74/1.04 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(99,a,91,a)]. 0.74/1.04 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(99,a,92,a)]. 0.74/1.04 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(99,a,93,a)]. 0.74/1.04 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(99,a,94,a)]. 0.74/1.04 100 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)]. 0.74/1.04 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(100,a,91,a)]. 0.74/1.04 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(100,a,92,a)]. 0.74/1.04 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(100,a,93,a)]. 0.74/1.04 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(100,a,94,a)]. 0.74/1.04 101 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)]. 0.74/1.04 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(101,a,91,a)]. 0.74/1.04 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(101,a,92,a)]. 0.74/1.04 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(101,a,93,a)]. 0.74/1.04 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(101,a,94,a)]. 0.74/1.05 102 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)]. 0.74/1.05 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(102,a,91,a)]. 0.74/1.05 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(102,a,92,a)]. 0.74/1.05 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(102,a,93,a)]. 0.74/1.05 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | member(f20(A,B),A) | -member(C,A) | subset(C,B). [resolve(102,a,94,a)]. 0.74/1.05 103 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)]. 0.74/1.05 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(103,a,91,a)]. 0.74/1.05 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(103,a,92,a)]. 0.74/1.05 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(103,a,93,a)]. 0.74/1.05 Derived: member(f16(A,B),B) | f18(A,B) != f17(A,B) | -subset(f20(A,B),B) | -member(C,A) | subset(C,B). [resolve(103,a,94,a)]. 0.74/1.05 104 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)]. 0.74/1.05 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(104,a,91,a)]. 0.74/1.05 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(104,a,92,a)]. 0.74/1.05 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(104,a,93,a)]. 0.74/1.05 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(104,a,94,a)]. 0.74/1.05 105 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)]. 0.74/1.05 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(105,a,91,a)]. 0.74/1.05 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(105,a,92,a)]. 0.74/1.05 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(105,a,93,a)]. 0.74/1.05 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(105,a,94,a)]. 0.74/1.05 106 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)]. 0.74/1.05 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(106,a,91,a)]. 0.74/1.05 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(106,a,92,a)]. 0.74/1.05 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(106,a,93,a)]. 0.74/1.05 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(106,a,94,a)]. 0.74/1.05 107 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)]. 0.74/1.05 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(107,a,91,a)]. 0.74/1.05 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(107,a,92,a)]. 0.74/1.05 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(107,a,93,a)]. 0.74/1.05 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(107,a,94,a)]. 0.74/1.05 108 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)]. 0.74/1.05 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(108,a,91,a)]. 0.74/1.05 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(108,a,92,a)]. 0.74/1.05 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(108,a,93,a)]. 0.74/1.05 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(108,a,94,a)]. 0.74/1.05 109 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)]. 0.74/1.05 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(109,a,91,a)]. 0.74/1.05 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(109,a,92,a)]. 0.74/1.05 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(109,a,93,a)]. 0.74/1.05 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(109,a,94,a)]. 0.74/1.05 110 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)]. 0.74/1.05 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(110,a,91,a)]. 0.74/1.05 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(110,a,92,a)]. 0.74/1.05 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(110,a,93,a)]. 0.74/1.05 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(110,a,94,a)]. 0.74/1.05 111 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)]. 0.74/1.05 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(111,a,91,a)]. 0.74/1.05 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(111,a,92,a)]. 0.74/1.05 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(111,a,93,a)]. 0.74/1.05 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(111,a,94,a)]. 0.74/1.05 112 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)]. 0.74/1.05 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(112,a,91,a)]. 0.74/1.05 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(112,a,92,a)]. 2.10/2.36 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(112,a,93,a)]. 2.10/2.36 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(112,a,94,a)]. 2.10/2.36 113 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)]. 2.10/2.36 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(113,a,91,a)]. 2.10/2.36 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(113,a,92,a)]. 2.10/2.36 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(113,a,93,a)]. 2.10/2.36 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(113,a,94,a)]. 2.10/2.36 2.10/2.36 ============================== end predicate elimination ============= 2.10/2.36 2.10/2.36 Auto_denials: (non-Horn, no changes). 2.10/2.36 2.10/2.36 Term ordering decisions: 2.10/2.36 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=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. 2.10/2.36 2.10/2.36 ============================== end of process initial clauses ======== 2.10/2.36 2.10/2.36 ============================== CLAUSES FOR SEARCH ==================== 2.10/2.36 2.10/2.36 ============================== end of clauses for search ============= 2.10/2.36 2.10/2.36 ============================== SEARCH ================================ 2.10/2.36 2.10/2.36 % Starting search at 0.14 seconds. 2.10/2.36 2.10/2.36 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.33 sec). 2.10/2.36 2.10/2.36 Low Water (keep): wt=54.000, iters=3336 2.10/2.36 2.10/2.36 Low Water (keep): wt=53.000, iters=3357 2.10/2.36 2.10/2.36 Low Water (keep): wt=52.000, iters=3333 2.10/2.36 2.10/2.36 Low Water (keep): wt=51.000, iters=3344 2.10/2.36 2.10/2.36 Low Water (keep): wt=50.000, iters=3358 2.10/2.36 2.10/2.36 Low Water (keep): wt=49.000, iters=3345 2.10/2.36 2.10/2.36 Low Water (keep): wt=47.000, iters=3371 2.10/2.36 2.10/2.36 Low Water (keep): wt=46.000, iters=3345 2.10/2.36 2.10/2.36 Low Water (keep): wt=45.000, iters=3333 2.10/2.36 2.10/2.36 Low Water (keep): wt=44.000, iters=3337 2.10/2.36 2.10/2.36 Low Water (keep): wt=43.000, iters=3337 2.10/2.36 2.10/2.36 Low Water (keep): wt=42.000, iters=3335 2.10/2.36 2.10/2.36 Low Water (keep): wt=41.000, iters=3453 2.10/2.36 2.10/2.36 Low Water (keep): wt=40.000, iters=3363 2.10/2.36 2.10/2.36 Low Water (keep): wt=39.000, iters=3373 2.10/2.36 2.10/2.36 Low Water (keep): wt=38.000, iters=3376 2.10/2.36 2.10/2.36 Low Water (keep): wt=37.000, iters=3351 2.10/2.36 2.10/2.36 Low Water (keep): wt=36.000, iters=3371 2.10/2.36 2.10/2.36 Low Water (keep): wt=35.000, iters=3333 2.10/2.36 2.10/2.36 Low Water (keep): wt=34.000, iters=3386 2.10/2.36 2.10/2.36 Low Water (keep): wt=33.000, iters=3333 2.10/2.36 2.10/2.36 Low Water (displace): id=4224, wt=82.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4284, wt=80.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4471, wt=79.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4616, wt=77.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4206, wt=76.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4700, wt=75.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4266, wt=74.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4213, wt=73.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4782, wt=72.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4273, wt=71.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4922, wt=70.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4895, wt=69.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4942, wt=68.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4897, wt=67.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4947, wt=66.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4952, wt=65.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4855, wt=64.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4956, wt=63.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4314, wt=62.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4965, wt=61.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4786, wt=60.000 2.10/2.36 2.10/2.36 Low Water (keep): wt=32.000, iters=3348 2.10/2.36 2.10/2.36 Low Water (displace): id=4967, wt=59.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4814, wt=58.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4962, wt=57.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4925, wt=56.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4742, wt=55.000 2.10/2.36 2.10/2.36 Low Water (displace): id=4945, wt=54.000 2.10/2.36 2.10/2.36 Low Water (displace): id=6764, wt=53.000 14.57/14.84 14.57/14.84 Low Water (displace): id=6781, wt=52.000 14.57/14.84 14.57/14.84 Low Water (displace): id=6826, wt=51.000 14.57/14.84 14.57/14.84 Low Water (displace): id=6763, wt=50.000 14.57/14.84 14.57/14.84 Low Water (displace): id=6865, wt=49.000 14.57/14.84 14.57/14.84 Low Water (keep): wt=31.000, iters=3347 14.57/14.84 14.57/14.84 Low Water (displace): id=6782, wt=48.000 14.57/14.84 14.57/14.84 Low Water (displace): id=7049, wt=47.000 14.57/14.84 14.57/14.84 Low Water (displace): id=7085, wt=46.000 14.57/14.84 14.57/14.84 Low Water (displace): id=11991, wt=30.000 14.57/14.84 14.57/14.84 Low Water (displace): id=11998, wt=28.000 14.57/14.84 14.57/14.84 Low Water (keep): wt=30.000, iters=5760 14.57/14.84 14.57/14.84 Low Water (keep): wt=29.000, iters=4804 14.57/14.84 14.57/14.84 Low Water (keep): wt=27.000, iters=3648 14.57/14.84 14.57/14.84 Low Water (displace): id=12814, wt=27.000 14.57/14.84 14.57/14.84 Low Water (displace): id=12842, wt=25.000 14.57/14.84 14.57/14.84 Low Water (displace): id=12848, wt=23.000 14.57/14.84 14.57/14.84 Low Water (displace): id=12874, wt=16.000 14.57/14.84 14.57/14.84 Low Water (displace): id=13533, wt=13.000 14.57/14.84 14.57/14.84 Low Water (displace): id=13571, wt=11.000 14.57/14.84 14.57/14.84 Low Water (displace): id=13674, wt=10.000 14.57/14.84 14.57/14.84 Low Water (displace): id=13815, wt=9.000 14.57/14.84 14.57/14.84 Low Water (displace): id=16371, wt=8.000 14.57/14.84 14.57/14.84 Low Water (keep): wt=26.000, iters=3341 14.57/14.84 14.57/14.84 Low Water (keep): wt=13.000, iters=3550 14.57/14.84 14.57/14.84 Low Water (keep): wt=12.000, iters=3353 14.57/14.84 14.57/14.84 Low Water (keep): wt=11.000, iters=3827 14.57/14.84 14.57/14.84 Low Water (keep): wt=10.000, iters=3598 14.57/14.84 14.57/14.84 ============================== PROOF ================================= 14.57/14.84 % SZS status Theorem 14.57/14.84 % SZS output start Refutation 14.57/14.84 14.57/14.84 % Proof 1 at 13.34 (+ 0.52) seconds. 14.57/14.84 % Length of proof is 21. 14.57/14.84 % Level of proof is 5. 14.57/14.84 % Maximum clause weight is 21.000. 14.57/14.84 % Given clauses 3924. 14.57/14.84 14.57/14.84 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]. 14.57/14.84 17 -(all E all P all R (pre_order(P,E) & (all A all B (member(A,E) & member(B,E) -> (apply(P,A,B) & apply(P,B,A) <-> apply(R,A,B)))) -> (all X1 all X2 all Y1 all Y2 (member(X1,E) & member(X2,E) & member(Y2,E) & member(Y1,E) -> (apply(P,X1,X2) & apply(R,X2,Y2) & apply(R,X1,Y1) -> apply(P,Y1,Y2)))))) # label(thIII12) # label(negated_conjecture) # label(non_clause). [assumption]. 14.57/14.84 26 -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)]. 14.57/14.84 38 pre_order(c2,c1) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 144 -member(A,c1) | -member(B,c1) | apply(c2,A,B) | -apply(c3,A,B) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 145 -member(A,c1) | -member(B,c1) | apply(c2,B,A) | -apply(c3,A,B) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 146 member(c4,c1) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 147 member(c5,c1) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 148 member(c7,c1) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 149 member(c6,c1) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 150 apply(c2,c4,c5) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 151 apply(c3,c5,c7) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 152 apply(c3,c4,c6) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 153 -apply(c2,c6,c7) # label(thIII12) # label(negated_conjecture). [clausify(17)]. 14.57/14.84 181 -member(A,c1) | -member(B,c1) | -member(C,c1) | -apply(c2,B,C) | -apply(c2,A,B) | apply(c2,A,C). [resolve(38,a,26,a)]. 14.57/14.84 899 apply(c2,c5,c7). [resolve(151,a,144,d),unit_del(a,147),unit_del(b,148)]. 14.57/14.84 901 apply(c2,c6,c4). [resolve(152,a,145,d),unit_del(a,146),unit_del(b,149)]. 14.57/14.84 1028 -member(A,c1) | -apply(c2,A,c4) | apply(c2,A,c5). [resolve(181,d,150,a),unit_del(b,146),unit_del(c,147)]. 14.57/14.84 3514 -member(A,c1) | -apply(c2,A,c5) | apply(c2,A,c7). [resolve(899,a,181,d),unit_del(b,147),unit_del(c,148)]. 14.57/14.84 24244 apply(c2,c6,c5). [resolve(1028,b,901,a),unit_del(a,149)]. 14.57/14.84 57252 $F. [resolve(3514,b,24244,a),unit_del(a,149),unit_del(b,153)]. 14.57/14.84 14.57/14.84 % SZS output end Refutation 14.57/14.84 ============================== end of proof ========================== 14.57/14.84 14.57/14.84 ============================== STATISTICS ============================ 14.57/14.84 14.57/14.84 Given=3924. Generated=1034891. Kept=57138. proofs=1. 14.57/14.84 Usable=3884. Sos=9979. Demods=25. Limbo=0, Disabled=43663. Hints=0. 14.57/14.84 Megabytes=36.04. 14.57/14.84 User_CPU=13.34, System_CPU=0.52, Wall_clock=14. 14.57/14.84 14.57/14.84 ============================== end of statistics ===================== 14.57/14.84 14.57/14.84 ============================== end of search ========================= 14.57/14.84 14.57/14.84 THEOREM PROVED 14.57/14.84 % SZS status Theorem 14.57/14.84 14.57/14.84 Exiting with 1 proof. 14.57/14.84 14.57/14.84 Process 26620 exit (max_proofs) Mon Jul 3 03:22:46 2023 14.57/14.84 Prover9 interrupted 14.57/14.85 EOF