0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.11/0.33 % Computer : n023.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 09:10:06 EDT 2023 0.11/0.33 % CPUTime : 0.43/0.99 ============================== Prover9 =============================== 0.43/0.99 Prover9 (32) version 2009-11A, November 2009. 0.43/0.99 Process 24392 was started by sandbox2 on n023.cluster.edu, 0.43/0.99 Mon Jul 3 09:10:06 2023 0.43/0.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_24238_n023.cluster.edu". 0.43/0.99 ============================== end of head =========================== 0.43/0.99 0.43/0.99 ============================== INPUT ================================= 0.43/0.99 0.43/0.99 % Reading from file /tmp/Prover9_24238_n023.cluster.edu 0.43/0.99 0.43/0.99 set(prolog_style_variables). 0.43/0.99 set(auto2). 0.43/0.99 % set(auto2) -> set(auto). 0.43/0.99 % set(auto) -> set(auto_inference). 0.43/0.99 % set(auto) -> set(auto_setup). 0.43/0.99 % set(auto_setup) -> set(predicate_elim). 0.43/0.99 % set(auto_setup) -> assign(eq_defs, unfold). 0.43/0.99 % set(auto) -> set(auto_limits). 0.43/0.99 % set(auto_limits) -> assign(max_weight, "100.000"). 0.43/0.99 % set(auto_limits) -> assign(sos_limit, 20000). 0.43/0.99 % set(auto) -> set(auto_denials). 0.43/0.99 % set(auto) -> set(auto_process). 0.43/0.99 % set(auto2) -> assign(new_constants, 1). 0.43/0.99 % set(auto2) -> assign(fold_denial_max, 3). 0.43/0.99 % set(auto2) -> assign(max_weight, "200.000"). 0.43/0.99 % set(auto2) -> assign(max_hours, 1). 0.43/0.99 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.43/0.99 % set(auto2) -> assign(max_seconds, 0). 0.43/0.99 % set(auto2) -> assign(max_minutes, 5). 0.43/0.99 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.43/0.99 % set(auto2) -> set(sort_initial_sos). 0.43/0.99 % set(auto2) -> assign(sos_limit, -1). 0.43/0.99 % set(auto2) -> assign(lrs_ticks, 3000). 0.43/0.99 % set(auto2) -> assign(max_megs, 400). 0.43/0.99 % set(auto2) -> assign(stats, some). 0.43/0.99 % set(auto2) -> clear(echo_input). 0.43/0.99 % set(auto2) -> set(quiet). 0.43/0.99 % set(auto2) -> clear(print_initial_clauses). 0.43/0.99 % set(auto2) -> clear(print_given). 0.43/0.99 assign(lrs_ticks,-1). 0.43/0.99 assign(sos_limit,10000). 0.43/0.99 assign(order,kbo). 0.43/0.99 set(lex_order_vars). 0.43/0.99 clear(print_given). 0.43/0.99 0.43/0.99 % formulas(sos). % not echoed (20 formulas) 0.43/0.99 0.43/0.99 ============================== end of input ========================== 0.43/0.99 0.43/0.99 % From the command line: assign(max_seconds, 1440). 0.43/0.99 0.43/0.99 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.43/0.99 0.43/0.99 % Formulas that are not ordinary clauses: 0.43/0.99 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]. 0.43/0.99 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]. 0.43/0.99 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]. 0.43/0.99 4 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.43/0.99 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]. 0.43/0.99 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]. 0.43/0.99 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]. 0.43/0.99 8 (all A all B (equal_set(A,B) <-> subset(B,A) & subset(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.43/0.99 9 (all X all A (X = A <-> member(X,singleton(A)))) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.43/0.99 10 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.43/0.99 11 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.43/0.99 12 (all A all B (-(exists X (member(X,B) & member(X,A))) <-> disjoint(A,B))) # label(disjoint) # label(axiom) # label(non_clause). [assumption]. 0.43/0.99 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]. 0.43/0.99 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]. 0.43/1.00 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]. 0.43/1.00 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]. 0.43/1.00 17 (all A all B all C insertIntoMember(A,B,C) = union(union(B,singleton(A)),difference(C,singleton(B)))) # label(insertIntoMember) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 18 (all X (non_overlapping(X) <-> (exists U partition(X,U)))) # label(non_overlapping) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 19 (all A all B (unaryUnion(A) = B <-> (all C (member(C,B) <-> (exists D (member(C,D) & member(D,A))))))) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 20 -(all E (empty_set != E -> partition(singleton(E),E))) # label(set_partitions_itself) # label(negated_conjecture) # label(non_clause). [assumption]. 0.43/1.00 0.43/1.00 ============================== end of process non-clausal formulas === 0.43/1.00 0.43/1.00 ============================== PROCESS INITIAL CLAUSES =============== 0.43/1.00 0.43/1.00 ============================== PREDICATE ELIMINATION ================= 0.43/1.00 21 equal_set(A,B) | -subset(B,A) | -subset(A,B) # label(equal_set) # label(axiom). [clausify(8)]. 0.43/1.00 22 -equal_set(A,B) | subset(B,A) # label(equal_set) # label(axiom). [clausify(8)]. 0.43/1.00 23 -equal_set(A,B) | subset(A,B) # label(equal_set) # label(axiom). [clausify(8)]. 0.43/1.00 24 -member(A,B) | -member(A,C) | -disjoint(C,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.43/1.00 25 member(f4(A,B),B) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.43/1.00 26 member(f4(A,B),A) | disjoint(A,B) # label(disjoint) # label(axiom). [clausify(12)]. 0.43/1.00 Derived: -member(A,B) | -member(A,C) | member(f4(C,B),B). [resolve(24,c,25,b)]. 0.43/1.00 Derived: -member(A,B) | -member(A,C) | member(f4(C,B),C). [resolve(24,c,26,b)]. 0.43/1.00 27 pre_order(A,B) | member(f5(A,B),B) | member(f6(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 28 -pre_order(A,B) | -member(C,B) | apply(A,C,C) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 29 -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)]. 0.43/1.00 Derived: member(f5(A,B),B) | member(f6(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(27,a,28,a)]. 0.43/1.00 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(27,a,29,a)]. 0.43/1.00 30 pre_order(A,B) | member(f5(A,B),B) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: member(f5(A,B),B) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(30,a,28,a)]. 0.43/1.00 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(30,a,29,a)]. 0.43/1.00 31 pre_order(A,B) | member(f5(A,B),B) | member(f8(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: member(f5(A,B),B) | member(f8(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(31,a,28,a)]. 0.43/1.00 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(31,a,29,a)]. 0.43/1.00 32 pre_order(A,B) | member(f5(A,B),B) | apply(A,f7(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: member(f5(A,B),B) | apply(A,f7(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(32,a,28,a)]. 0.43/1.00 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(32,a,29,a)]. 0.43/1.00 33 pre_order(A,B) | member(f5(A,B),B) | apply(A,f6(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: member(f5(A,B),B) | apply(A,f6(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(33,a,28,a)]. 0.43/1.00 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(33,a,29,a)]. 0.43/1.00 34 pre_order(A,B) | member(f5(A,B),B) | -apply(A,f6(A,B),f8(A,B)) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: member(f5(A,B),B) | -apply(A,f6(A,B),f8(A,B)) | -member(C,B) | apply(A,C,C). [resolve(34,a,28,a)]. 0.43/1.00 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(34,a,29,a)]. 0.43/1.00 35 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f6(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f6(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(35,a,28,a)]. 0.43/1.00 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(35,a,29,a)]. 0.43/1.00 36 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(36,a,28,a)]. 0.43/1.00 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(36,a,29,a)]. 0.43/1.00 37 pre_order(A,B) | -apply(A,f5(A,B),f5(A,B)) | member(f8(A,B),B) # label(pre_order) # label(axiom). [clausify(13)]. 0.43/1.00 Derived: -apply(A,f5(A,B),f5(A,B)) | member(f8(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(37,a,28,a)]. 0.43/1.00 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(37,a,29,a)]. 0.43/1.00 38 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)]. 0.43/1.00 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(38,a,28,a)]. 0.43/1.00 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(38,a,29,a)]. 0.43/1.00 39 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)]. 0.43/1.00 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(39,a,28,a)]. 0.43/1.00 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(39,a,29,a)]. 0.43/1.00 40 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)]. 0.43/1.00 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(40,a,28,a)]. 0.43/1.00 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(40,a,29,a)]. 0.43/1.00 41 -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)]. 0.43/1.00 42 member(f10(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.43/1.00 43 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)]. 0.43/1.00 44 member(f10(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.43/1.00 45 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)]. 0.43/1.00 46 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)]. 0.43/1.00 47 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)]. 0.43/1.00 48 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)]. 0.43/1.00 49 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)]. 0.43/1.00 50 member(f11(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.43/1.00 51 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)]. 0.43/1.00 52 member(f11(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.43/1.00 53 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)]. 0.43/1.00 54 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)]. 0.43/1.00 55 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)]. 0.43/1.00 56 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)]. 0.43/1.00 57 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)]. 0.43/1.00 58 member(f9(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.43/1.00 59 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)]. 0.43/1.00 60 member(f9(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(14)]. 0.43/1.00 61 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)]. 0.43/1.00 62 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)]. 0.43/1.00 63 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)]. 0.43/1.00 64 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)]. 0.43/1.00 65 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)]. 0.43/1.00 66 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)]. 0.43/1.00 67 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)]. 0.43/1.00 68 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)]. 0.43/1.00 69 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)]. 0.43/1.00 70 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)]. 0.43/1.00 71 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)]. 0.43/1.00 72 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)]. 0.43/1.00 73 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)]. 0.43/1.00 74 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)]. 0.43/1.01 75 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)]. 0.43/1.01 76 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)]. 0.43/1.01 77 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)]. 0.43/1.01 78 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)]. 0.43/1.01 79 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)]. 0.43/1.01 80 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)]. 0.43/1.01 81 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)]. 0.43/1.01 82 -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)]. 0.43/1.01 83 -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)]. 0.43/1.01 84 -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)]. 0.43/1.01 85 -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)]. 0.43/1.01 86 -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)]. 0.43/1.01 87 -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)]. 0.43/1.01 88 -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)]. 0.43/1.01 89 -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)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f12(B,E),B) | member(f14(B,E),B). [resolve(41,g,42,d)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f12(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(41,g,43,d)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f13(B,E),B) | member(f14(B,E),B). [resolve(41,g,44,d)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | member(f13(B,E),B) | -apply(E,f14(B,E),f14(B,E)). [resolve(41,g,45,d)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | apply(E,f12(B,E),f13(B,E)) | member(f14(B,E),B). [resolve(41,g,46,d)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | apply(E,f12(B,E),f13(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(41,g,47,d)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | member(f14(B,E),B). [resolve(41,g,48,d)]. 0.43/1.01 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,D,A) | apply(E,D,C) | member(f10(B,E),B) | -apply(E,f13(B,E),f12(B,E)) | -apply(E,f14(B,E),f14(B,E)). [resolve(41,g,49,d)]. 0.43/1.01 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) | member(f14(B,E),B). [resolve(41,g,50,d)]. 0.43/1.01 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(41,g,51,d)]. 0.43/1.01 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(41,g,52,d)]. 0.43/1.01 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(41,g,53,d)]. 0.43/1.01 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(41,g,54,d)]. 0.43/1.01 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(41,g,55,d)]. 0.43/1.01 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(41,g,56,d)]. 0.43/1.01 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(41,g,57,d)]. 0.43/1.01 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(41,g,58,d)]. 0.43/1.01 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(41,g,59,d)]. 0.43/1.01 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(41,g,60,d)]. 0.43/1.01 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(41,g,61,d)]. 0.43/1.01 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(41,g,62,d)]. 0.43/1.01 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(41,g,63,d)]. 0.43/1.01 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(41,g,64,d)]. 0.43/1.01 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(41,g,65,d)]. 0.43/1.01 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(41,g,66,d)]. 0.43/1.01 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(41,g,67,d)]. 0.43/1.01 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(41,g,68,d)]. 0.43/1.01 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(41,g,69,d)]. 0.43/1.01 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(41,g,70,d)]. 0.43/1.01 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(41,g,71,d)]. 0.71/1.03 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(41,g,72,d)]. 0.71/1.03 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(41,g,73,d)]. 0.71/1.03 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(41,g,74,d)]. 0.71/1.03 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(41,g,75,d)]. 0.71/1.03 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(41,g,76,d)]. 0.71/1.03 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(41,g,77,d)]. 0.71/1.03 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(41,g,78,d)]. 0.71/1.03 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(41,g,79,d)]. 0.71/1.03 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(41,g,80,d)]. 0.71/1.03 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(41,g,81,d)]. 0.71/1.03 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(41,g,82,d)]. 0.71/1.03 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(41,g,83,d)]. 0.71/1.03 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(41,g,84,d)]. 0.71/1.03 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(41,g,85,d)]. 0.71/1.03 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(41,g,86,d)]. 0.71/1.03 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(41,g,87,d)]. 0.71/1.03 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(41,g,88,d)]. 0.71/1.03 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(41,g,89,d)]. 0.71/1.03 90 -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -equivalence(D,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.71/1.03 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(90,e,42,d)]. 0.71/1.03 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(90,e,43,d)]. 0.71/1.03 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(90,e,44,d)]. 0.71/1.03 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(90,e,45,d)]. 0.71/1.03 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(90,e,46,d)]. 0.71/1.03 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(90,e,47,d)]. 0.71/1.03 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(90,e,48,d)]. 0.71/1.03 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(90,e,49,d)]. 0.71/1.03 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(90,e,50,d)]. 0.71/1.03 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(90,e,51,d)]. 0.71/1.03 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(90,e,52,d)]. 0.71/1.03 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(90,e,53,d)]. 0.71/1.03 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(90,e,54,d)]. 0.71/1.03 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(90,e,55,d)]. 0.71/1.03 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(90,e,56,d)]. 0.71/1.03 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(90,e,57,d)]. 0.71/1.03 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(90,e,58,d)]. 0.71/1.03 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(90,e,59,d)]. 0.71/1.03 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(90,e,60,d)]. 0.71/1.03 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(90,e,61,d)]. 0.71/1.03 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(90,e,62,d)]. 0.71/1.03 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(90,e,63,d)]. 0.71/1.03 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(90,e,64,d)]. 0.71/1.03 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(90,e,65,d)]. 0.71/1.03 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(90,e,66,d)]. 0.71/1.03 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(90,e,67,d)]. 0.71/1.03 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(90,e,68,d)]. 0.71/1.04 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(90,e,69,d)]. 0.71/1.04 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(90,e,70,d)]. 0.71/1.04 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(90,e,71,d)]. 0.71/1.04 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(90,e,72,d)]. 0.71/1.04 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(90,e,73,d)]. 0.71/1.04 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(90,e,74,d)]. 0.71/1.04 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(90,e,75,d)]. 0.71/1.04 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(90,e,76,d)]. 0.71/1.04 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(90,e,77,d)]. 0.71/1.04 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(90,e,78,d)]. 0.71/1.04 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(90,e,79,d)]. 0.71/1.04 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(90,e,80,d)]. 0.71/1.04 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(90,e,81,d)]. 0.71/1.04 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(90,e,82,d)]. 0.71/1.04 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(90,e,83,d)]. 0.71/1.04 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(90,e,84,d)]. 0.71/1.04 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(90,e,85,d)]. 0.71/1.04 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(90,e,86,d)]. 0.71/1.04 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(90,e,87,d)]. 0.71/1.04 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(90,e,88,d)]. 0.71/1.04 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(90,e,89,d)]. 0.71/1.04 91 -member(A,B) | apply(C,A,A) | -equivalence(C,B) # label(equivalence) # label(axiom). [clausify(14)]. 0.71/1.04 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(91,c,42,d)]. 0.71/1.04 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(91,c,43,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f10(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(91,c,44,d)]. 0.71/1.05 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(91,c,45,d)]. 0.71/1.05 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(91,c,46,d)]. 0.71/1.05 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(91,c,47,d)]. 0.71/1.05 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(91,c,48,d)]. 0.71/1.05 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(91,c,49,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(91,c,50,d)]. 0.71/1.05 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(91,c,51,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f11(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(91,c,52,d)]. 0.71/1.05 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(91,c,53,d)]. 0.71/1.05 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(91,c,54,d)]. 0.71/1.05 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(91,c,55,d)]. 0.71/1.05 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(91,c,56,d)]. 0.71/1.05 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(91,c,57,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f12(B,C),B) | member(f14(B,C),B). [resolve(91,c,58,d)]. 0.71/1.05 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(91,c,59,d)]. 0.71/1.05 Derived: -member(A,B) | apply(C,A,A) | member(f9(B,C),B) | member(f13(B,C),B) | member(f14(B,C),B). [resolve(91,c,60,d)]. 0.71/1.05 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(91,c,61,d)]. 0.71/1.05 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(91,c,62,d)]. 0.71/1.05 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(91,c,63,d)]. 0.71/1.05 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(91,c,64,d)]. 0.71/1.05 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(91,c,65,d)]. 0.71/1.05 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(91,c,66,d)]. 0.71/1.05 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(91,c,67,d)]. 0.71/1.05 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(91,c,68,d)]. 0.71/1.05 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(91,c,69,d)]. 0.71/1.05 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(91,c,70,d)]. 0.71/1.05 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(91,c,71,d)]. 0.71/1.05 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(91,c,72,d)]. 0.71/1.05 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(91,c,73,d)]. 0.71/1.05 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(91,c,74,d)]. 1.82/2.11 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(91,c,75,d)]. 1.82/2.11 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(91,c,76,d)]. 1.82/2.11 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(91,c,77,d)]. 1.82/2.11 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(91,c,78,d)]. 1.82/2.11 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(91,c,79,d)]. 1.82/2.11 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(91,c,80,d)]. 1.82/2.11 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(91,c,81,d)]. 1.82/2.11 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(91,c,82,d)]. 1.82/2.11 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(91,c,83,d)]. 1.82/2.11 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(91,c,84,d)]. 1.82/2.11 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(91,c,85,d)]. 1.82/2.11 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(91,c,86,d)]. 1.82/2.11 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(91,c,87,d)]. 1.82/2.11 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(91,c,88,d)]. 1.82/2.11 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(91,c,89,d)]. 1.82/2.11 92 non_overlapping(A) | -partition(A,B) # label(non_overlapping) # label(axiom). [clausify(18)]. 1.82/2.11 93 -non_overlapping(A) | partition(A,f21(A)) # label(non_overlapping) # label(axiom). [clausify(18)]. 1.82/2.11 Derived: -partition(A,B) | partition(A,f21(A)). [resolve(92,a,93,a)]. 1.82/2.11 1.82/2.11 ============================== end predicate elimination ============= 1.82/2.11 1.82/2.11 Auto_denials: (non-Horn, no changes). 1.82/2.11 1.82/2.11 Term ordering decisions: 1.82/2.11 Function symbol KB weights: empty_set=1. c1=1. union=1. difference=1. intersection=1. unordered_pair=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. f23=1. f24=1. unaryUnion=1. singleton=1. product=1. sum=1. power_set=1. f21=1. equivalence_class=1. insertIntoMember=1. f15=1. f22=1. 1.82/2.11 1.82/2.11 ============================== end of process initial clauses ======== 1.82/2.11 1.82/2.11 ============================== CLAUSES FOR SEARCH ==================== 1.82/2.11 1.82/2.11 ============================== end of clauses for search ============= 1.82/2.11 1.82/2.11 ============================== SEARCH ================================ 1.82/2.11 1.82/2.11 % Starting search at 0.14 seconds. 1.82/2.11 1.82/2.11 Low Water (keep): wt=43.000, iters=3669 1.82/2.11 1.82/2.11 Low Water (keep): wt=40.000, iters=3571 1.82/2.11 1.82/2.11 Low Water (keep): wt=37.000, iters=3477 1.82/2.11 1.82/2.11 Low Water (keep): wt=35.000, iters=3499 1.82/2.11 1.82/2.11 Low Water (keep): wt=32.000, iters=3353 1.82/2.11 1.82/2.11 Low Water (keep): wt=31.000, iters=3360 1.82/2.11 1.82/2.11 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 46 (0.00 of 0.53 sec). 1.82/2.11 1.82/2.11 Low Water (keep): wt=30.000, iters=3863 1.82/2.11 1.82/2.11 Low Water (keep): wt=25.000, iters=3404 1.82/2.11 1.82/2.11 Low Water (keep): wt=22.000, iters=3655 1.82/2.11 1.82/2.11 Low Water (keep): wt=21.000, iters=3341 1.82/2.11 1.82/2.11 Low Water (keep): wt=20.000, iters=3333 1.82/2.11 1.82/2.11 Low Water (keep): wt=17.000, iters=5053 1.82/2.11 1.82/2.11 Low Water (keep): wt=16.000, iters=4528 1.82/2.11 1.82/2.11 Low Water (keep): wt=14.000, iters=3445 1.82/2.11 1.82/2.11 Low Water (keep): wt=13.000, iters=3372 1.82/2.11 1.82/2.11 Low Water (displace): id=5881, wt=80.000 1.82/2.11 1.82/2.11 Low Water (displace): id=5171, wt=78.000 1.82/2.11 1.82/2.11 Low WaterAlarm clock 179.73/180.04 Prover9 interrupted 179.73/180.04 EOF