0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.33 % Computer : n019.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 180 0.13/0.33 % DateTime : Thu Aug 29 13:48:07 EDT 2019 0.13/0.33 % CPUTime : 0.43/1.00 ============================== Prover9 =============================== 0.43/1.00 Prover9 (32) version 2009-11A, November 2009. 0.43/1.00 Process 29533 was started by sandbox on n019.cluster.edu, 0.43/1.00 Thu Aug 29 13:48:08 2019 0.43/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_29349_n019.cluster.edu". 0.43/1.00 ============================== end of head =========================== 0.43/1.00 0.43/1.00 ============================== INPUT ================================= 0.43/1.00 0.43/1.00 % Reading from file /tmp/Prover9_29349_n019.cluster.edu 0.43/1.00 0.43/1.00 set(prolog_style_variables). 0.43/1.00 set(auto2). 0.43/1.00 % set(auto2) -> set(auto). 0.43/1.00 % set(auto) -> set(auto_inference). 0.43/1.00 % set(auto) -> set(auto_setup). 0.43/1.00 % set(auto_setup) -> set(predicate_elim). 0.43/1.00 % set(auto_setup) -> assign(eq_defs, unfold). 0.43/1.00 % set(auto) -> set(auto_limits). 0.43/1.00 % set(auto_limits) -> assign(max_weight, "100.000"). 0.43/1.00 % set(auto_limits) -> assign(sos_limit, 20000). 0.43/1.00 % set(auto) -> set(auto_denials). 0.43/1.00 % set(auto) -> set(auto_process). 0.43/1.00 % set(auto2) -> assign(new_constants, 1). 0.43/1.00 % set(auto2) -> assign(fold_denial_max, 3). 0.43/1.00 % set(auto2) -> assign(max_weight, "200.000"). 0.43/1.00 % set(auto2) -> assign(max_hours, 1). 0.43/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.43/1.00 % set(auto2) -> assign(max_seconds, 0). 0.43/1.00 % set(auto2) -> assign(max_minutes, 5). 0.43/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.43/1.00 % set(auto2) -> set(sort_initial_sos). 0.43/1.00 % set(auto2) -> assign(sos_limit, -1). 0.43/1.00 % set(auto2) -> assign(lrs_ticks, 3000). 0.43/1.00 % set(auto2) -> assign(max_megs, 400). 0.43/1.00 % set(auto2) -> assign(stats, some). 0.43/1.00 % set(auto2) -> clear(echo_input). 0.43/1.00 % set(auto2) -> set(quiet). 0.43/1.00 % set(auto2) -> clear(print_initial_clauses). 0.43/1.00 % set(auto2) -> clear(print_given). 0.43/1.00 assign(lrs_ticks,-1). 0.43/1.00 assign(sos_limit,10000). 0.43/1.00 assign(order,kbo). 0.43/1.00 set(lex_order_vars). 0.43/1.00 clear(print_given). 0.43/1.00 0.43/1.00 % formulas(sos). % not echoed (20 formulas) 0.43/1.00 0.43/1.00 ============================== end of input ========================== 0.43/1.00 0.43/1.00 % From the command line: assign(max_seconds, 180). 0.43/1.00 0.43/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.43/1.00 0.43/1.00 % Formulas that are not ordinary clauses: 0.43/1.00 1 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = B | X = A)) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 2 (all X all A (member(X,singleton(A)) <-> A = X)) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 3 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 4 (all A all B ((all X (member(X,A) -> member(X,B))) <-> subset(A,B))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 5 (all B all A all E (member(B,difference(E,A)) <-> -member(B,A) & member(B,E))) # label(difference) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 6 (all X all A (member(X,product(A)) <-> (all Y (member(Y,A) -> member(X,Y))))) # label(product) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 7 (all A all B (subset(A,B) & subset(B,A) <-> equal_set(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 8 (all X all A all B (member(X,intersection(A,B)) <-> member(X,A) & member(X,B))) # label(intersection) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 9 (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]. 0.43/1.00 10 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 11 (all X all A (member(X,sum(A)) <-> (exists Y (member(Y,A) & member(X,Y))))) # label(sum) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 12 (all R all E (pre_order(R,E) <-> (all X all Y all Z (member(X,E) & member(Z,E) & member(Y,E) -> (apply(R,X,Y) & apply(R,Y,Z) -> apply(R,X,Z)))) & (all X (member(X,E) -> apply(R,X,X))))) # label(pre_order) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 13 (all A all E (partition(A,E) <-> (all X (member(X,E) -> (exists Y (member(Y,A) & member(X,Y))))) & (all X all Y (member(X,A) & member(Y,A) -> ((exists Z (member(Z,Y) & member(Z,X))) -> X = Y))) & (all X (member(X,A) -> subset(X,E))))) # label(partition) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 14 (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 15 (all A all R ((all X (member(X,A) -> apply(R,X,X))) & (all X all Y (member(X,A) & member(Y,A) -> (apply(R,X,Y) -> apply(R,Y,X)))) & (all X all Y all Z (member(X,A) & member(Z,A) & member(Y,A) -> (apply(R,X,Y) & apply(R,Y,Z) -> apply(R,X,Z)))) <-> equivalence(R,A))) # label(equivalence) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 16 (all A all B (disjoint(A,B) <-> -(exists X (member(X,A) & member(X,B))))) # label(disjoint) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 17 (all A all B ((all C (member(C,B) <-> (exists D (member(D,A) & member(C,D))))) <-> unaryUnion(A) = B)) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption]. 0.43/1.00 18 (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 19 (all X ((exists U partition(X,U)) <-> non_overlapping(X))) # label(non_overlapping) # 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 subset(A,B) | -equal_set(A,B) # label(equal_set) # label(axiom). [clausify(7)]. 0.43/1.00 22 -subset(A,B) | -subset(B,A) | equal_set(A,B) # label(equal_set) # label(axiom). [clausify(7)]. 0.43/1.00 23 subset(A,B) | -equal_set(B,A) # label(equal_set) # label(axiom). [clausify(7)]. 0.43/1.00 24 pre_order(A,B) | member(f4(A,B),B) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(12)]. 0.43/1.00 25 -pre_order(A,B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D) # label(pre_order) # label(axiom). [clausify(12)]. 0.43/1.00 26 -pre_order(A,B) | -member(C,B) | apply(A,C,C) # label(pre_order) # label(axiom). [clausify(12)]. 0.43/1.00 Derived: member(f4(A,B),B) | member(f7(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(24,a,25,a)]. 0.43/1.00 Derived: member(f4(A,B),B) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(24,a,26,a)]. 0.43/1.00 27 pre_order(A,B) | member(f4(A,B),B) | -apply(A,f7(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(12)]. 0.43/1.00 Derived: member(f4(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(27,a,25,a)]. 0.43/1.00 Derived: member(f4(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(27,a,26,a)]. 0.43/1.00 28 pre_order(A,B) | member(f6(A,B),B) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(12)]. 0.43/1.00 Derived: member(f6(A,B),B) | member(f7(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(28,a,25,a)]. 0.43/1.00 Derived: member(f6(A,B),B) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(28,a,26,a)]. 0.43/1.00 29 pre_order(A,B) | member(f6(A,B),B) | -apply(A,f7(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(12)]. 0.43/1.00 Derived: member(f6(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(29,a,25,a)]. 0.43/1.00 Derived: member(f6(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(29,a,26,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(12)]. 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,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(30,a,25,a)]. 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,26,a)]. 0.43/1.00 31 pre_order(A,B) | member(f5(A,B),B) | -apply(A,f7(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(12)]. 0.73/1.01 Derived: member(f5(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(31,a,25,a)]. 0.73/1.01 Derived: member(f5(A,B),B) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(31,a,26,a)]. 0.73/1.01 32 pre_order(A,B) | apply(A,f4(A,B),f5(A,B)) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(12)]. 0.73/1.01 Derived: apply(A,f4(A,B),f5(A,B)) | member(f7(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(32,a,25,a)]. 0.73/1.01 Derived: apply(A,f4(A,B),f5(A,B)) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(32,a,26,a)]. 0.73/1.01 33 pre_order(A,B) | apply(A,f4(A,B),f5(A,B)) | -apply(A,f7(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(12)]. 0.73/1.01 Derived: apply(A,f4(A,B),f5(A,B)) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(33,a,25,a)]. 0.73/1.01 Derived: apply(A,f4(A,B),f5(A,B)) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(33,a,26,a)]. 0.73/1.01 34 pre_order(A,B) | apply(A,f5(A,B),f6(A,B)) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(12)]. 0.73/1.01 Derived: apply(A,f5(A,B),f6(A,B)) | member(f7(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(34,a,25,a)]. 0.73/1.01 Derived: apply(A,f5(A,B),f6(A,B)) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(34,a,26,a)]. 0.73/1.01 35 pre_order(A,B) | apply(A,f5(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(12)]. 0.73/1.01 Derived: apply(A,f5(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(35,a,25,a)]. 0.73/1.01 Derived: apply(A,f5(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(35,a,26,a)]. 0.73/1.01 36 pre_order(A,B) | -apply(A,f4(A,B),f6(A,B)) | member(f7(A,B),B) # label(pre_order) # label(axiom). [clausify(12)]. 0.73/1.01 Derived: -apply(A,f4(A,B),f6(A,B)) | member(f7(A,B),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(36,a,25,a)]. 0.73/1.01 Derived: -apply(A,f4(A,B),f6(A,B)) | member(f7(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(36,a,26,a)]. 0.73/1.01 37 pre_order(A,B) | -apply(A,f4(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) # label(pre_order) # label(axiom). [clausify(12)]. 0.73/1.01 Derived: -apply(A,f4(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,E) | -apply(A,E,D) | apply(A,C,D). [resolve(37,a,25,a)]. 0.73/1.01 Derived: -apply(A,f4(A,B),f6(A,B)) | -apply(A,f7(A,B),f7(A,B)) | -member(C,B) | apply(A,C,C). [resolve(37,a,26,a)]. 0.73/1.01 38 -member(A,B) | apply(C,A,A) | -equivalence(C,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 39 member(f14(A,B),A) | member(f15(A,B),A) | member(f17(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 40 member(f14(A,B),A) | member(f15(A,B),A) | member(f19(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 41 member(f14(A,B),A) | member(f15(A,B),A) | member(f18(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 42 member(f14(A,B),A) | member(f15(A,B),A) | apply(B,f17(A,B),f18(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 43 member(f14(A,B),A) | member(f15(A,B),A) | apply(B,f18(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 44 member(f14(A,B),A) | member(f15(A,B),A) | -apply(B,f17(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 45 member(f14(A,B),A) | member(f16(A,B),A) | member(f17(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 46 member(f14(A,B),A) | member(f16(A,B),A) | member(f19(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 47 member(f14(A,B),A) | member(f16(A,B),A) | member(f18(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 48 member(f14(A,B),A) | member(f16(A,B),A) | apply(B,f17(A,B),f18(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 49 member(f14(A,B),A) | member(f16(A,B),A) | apply(B,f18(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 50 member(f14(A,B),A) | member(f16(A,B),A) | -apply(B,f17(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 51 member(f14(A,B),A) | apply(B,f15(A,B),f16(A,B)) | member(f17(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 52 member(f14(A,B),A) | apply(B,f15(A,B),f16(A,B)) | member(f19(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 53 member(f14(A,B),A) | apply(B,f15(A,B),f16(A,B)) | member(f18(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 54 member(f14(A,B),A) | apply(B,f15(A,B),f16(A,B)) | apply(B,f17(A,B),f18(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 55 member(f14(A,B),A) | apply(B,f15(A,B),f16(A,B)) | apply(B,f18(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 56 member(f14(A,B),A) | apply(B,f15(A,B),f16(A,B)) | -apply(B,f17(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 57 member(f14(A,B),A) | -apply(B,f16(A,B),f15(A,B)) | member(f17(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 58 member(f14(A,B),A) | -apply(B,f16(A,B),f15(A,B)) | member(f19(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 59 member(f14(A,B),A) | -apply(B,f16(A,B),f15(A,B)) | member(f18(A,B),A) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 60 member(f14(A,B),A) | -apply(B,f16(A,B),f15(A,B)) | apply(B,f17(A,B),f18(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 61 member(f14(A,B),A) | -apply(B,f16(A,B),f15(A,B)) | apply(B,f18(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 62 member(f14(A,B),A) | -apply(B,f16(A,B),f15(A,B)) | -apply(B,f17(A,B),f19(A,B)) | equivalence(B,A) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 63 -apply(A,f14(B,A),f14(B,A)) | member(f15(B,A),B) | member(f17(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 64 -apply(A,f14(B,A),f14(B,A)) | member(f15(B,A),B) | member(f19(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 65 -apply(A,f14(B,A),f14(B,A)) | member(f15(B,A),B) | member(f18(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 66 -apply(A,f14(B,A),f14(B,A)) | member(f15(B,A),B) | apply(A,f17(B,A),f18(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 67 -apply(A,f14(B,A),f14(B,A)) | member(f15(B,A),B) | apply(A,f18(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 68 -apply(A,f14(B,A),f14(B,A)) | member(f15(B,A),B) | -apply(A,f17(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 69 -apply(A,f14(B,A),f14(B,A)) | member(f16(B,A),B) | member(f17(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 70 -apply(A,f14(B,A),f14(B,A)) | member(f16(B,A),B) | member(f19(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 71 -apply(A,f14(B,A),f14(B,A)) | member(f16(B,A),B) | member(f18(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 72 -apply(A,f14(B,A),f14(B,A)) | member(f16(B,A),B) | apply(A,f17(B,A),f18(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 73 -apply(A,f14(B,A),f14(B,A)) | member(f16(B,A),B) | apply(A,f18(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 74 -apply(A,f14(B,A),f14(B,A)) | member(f16(B,A),B) | -apply(A,f17(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 75 -apply(A,f14(B,A),f14(B,A)) | apply(A,f15(B,A),f16(B,A)) | member(f17(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 76 -apply(A,f14(B,A),f14(B,A)) | apply(A,f15(B,A),f16(B,A)) | member(f19(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 77 -apply(A,f14(B,A),f14(B,A)) | apply(A,f15(B,A),f16(B,A)) | member(f18(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 78 -apply(A,f14(B,A),f14(B,A)) | apply(A,f15(B,A),f16(B,A)) | apply(A,f17(B,A),f18(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 79 -apply(A,f14(B,A),f14(B,A)) | apply(A,f15(B,A),f16(B,A)) | apply(A,f18(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 80 -apply(A,f14(B,A),f14(B,A)) | apply(A,f15(B,A),f16(B,A)) | -apply(A,f17(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 81 -apply(A,f14(B,A),f14(B,A)) | -apply(A,f16(B,A),f15(B,A)) | member(f17(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 82 -apply(A,f14(B,A),f14(B,A)) | -apply(A,f16(B,A),f15(B,A)) | member(f19(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 83 -apply(A,f14(B,A),f14(B,A)) | -apply(A,f16(B,A),f15(B,A)) | member(f18(B,A),B) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 84 -apply(A,f14(B,A),f14(B,A)) | -apply(A,f16(B,A),f15(B,A)) | apply(A,f17(B,A),f18(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 85 -apply(A,f14(B,A),f14(B,A)) | -apply(A,f16(B,A),f15(B,A)) | apply(A,f18(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 86 -apply(A,f14(B,A),f14(B,A)) | -apply(A,f16(B,A),f15(B,A)) | -apply(A,f17(B,A),f19(B,A)) | equivalence(A,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f15(B,C),B) | member(f17(B,C),B). [resolve(38,c,39,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f15(B,C),B) | member(f19(B,C),B). [resolve(38,c,40,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f15(B,C),B) | member(f18(B,C),B). [resolve(38,c,41,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f15(B,C),B) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,42,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f15(B,C),B) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,43,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f15(B,C),B) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,44,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f16(B,C),B) | member(f17(B,C),B). [resolve(38,c,45,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f16(B,C),B) | member(f19(B,C),B). [resolve(38,c,46,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f16(B,C),B) | member(f18(B,C),B). [resolve(38,c,47,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f16(B,C),B) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,48,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f16(B,C),B) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,49,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | member(f16(B,C),B) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,50,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | apply(C,f15(B,C),f16(B,C)) | member(f17(B,C),B). [resolve(38,c,51,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | apply(C,f15(B,C),f16(B,C)) | member(f19(B,C),B). [resolve(38,c,52,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | apply(C,f15(B,C),f16(B,C)) | member(f18(B,C),B). [resolve(38,c,53,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | apply(C,f15(B,C),f16(B,C)) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,54,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | apply(C,f15(B,C),f16(B,C)) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,55,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | apply(C,f15(B,C),f16(B,C)) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,56,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | -apply(C,f16(B,C),f15(B,C)) | member(f17(B,C),B). [resolve(38,c,57,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | -apply(C,f16(B,C),f15(B,C)) | member(f19(B,C),B). [resolve(38,c,58,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | -apply(C,f16(B,C),f15(B,C)) | member(f18(B,C),B). [resolve(38,c,59,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | -apply(C,f16(B,C),f15(B,C)) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,60,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | -apply(C,f16(B,C),f15(B,C)) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,61,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | member(f14(B,C),B) | -apply(C,f16(B,C),f15(B,C)) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,62,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f15(B,C),B) | member(f17(B,C),B). [resolve(38,c,63,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f15(B,C),B) | member(f19(B,C),B). [resolve(38,c,64,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f15(B,C),B) | member(f18(B,C),B). [resolve(38,c,65,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f15(B,C),B) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,66,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f15(B,C),B) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,67,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f15(B,C),B) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,68,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f16(B,C),B) | member(f17(B,C),B). [resolve(38,c,69,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f16(B,C),B) | member(f19(B,C),B). [resolve(38,c,70,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f16(B,C),B) | member(f18(B,C),B). [resolve(38,c,71,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f16(B,C),B) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,72,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f16(B,C),B) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,73,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | member(f16(B,C),B) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,74,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | apply(C,f15(B,C),f16(B,C)) | member(f17(B,C),B). [resolve(38,c,75,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | apply(C,f15(B,C),f16(B,C)) | member(f19(B,C),B). [resolve(38,c,76,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | apply(C,f15(B,C),f16(B,C)) | member(f18(B,C),B). [resolve(38,c,77,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | apply(C,f15(B,C),f16(B,C)) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,78,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | apply(C,f15(B,C),f16(B,C)) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,79,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | apply(C,f15(B,C),f16(B,C)) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,80,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | -apply(C,f16(B,C),f15(B,C)) | member(f17(B,C),B). [resolve(38,c,81,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | -apply(C,f16(B,C),f15(B,C)) | member(f19(B,C),B). [resolve(38,c,82,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | -apply(C,f16(B,C),f15(B,C)) | member(f18(B,C),B). [resolve(38,c,83,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | -apply(C,f16(B,C),f15(B,C)) | apply(C,f17(B,C),f18(B,C)). [resolve(38,c,84,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | -apply(C,f16(B,C),f15(B,C)) | apply(C,f18(B,C),f19(B,C)). [resolve(38,c,85,d)]. 0.73/1.01 Derived: -member(A,B) | apply(C,A,A) | -apply(C,f14(B,C),f14(B,C)) | -apply(C,f16(B,C),f15(B,C)) | -apply(C,f17(B,C),f19(B,C)). [resolve(38,c,86,d)]. 0.73/1.01 87 -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -equivalence(D,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f15(B,D),B) | member(f17(B,D),B). [resolve(87,e,39,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f15(B,D),B) | member(f19(B,D),B). [resolve(87,e,40,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f15(B,D),B) | member(f18(B,D),B). [resolve(87,e,41,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f15(B,D),B) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,42,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f15(B,D),B) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,43,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f15(B,D),B) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,44,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f16(B,D),B) | member(f17(B,D),B). [resolve(87,e,45,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f16(B,D),B) | member(f19(B,D),B). [resolve(87,e,46,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f16(B,D),B) | member(f18(B,D),B). [resolve(87,e,47,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f16(B,D),B) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,48,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f16(B,D),B) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,49,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | member(f16(B,D),B) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,50,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | apply(D,f15(B,D),f16(B,D)) | member(f17(B,D),B). [resolve(87,e,51,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | apply(D,f15(B,D),f16(B,D)) | member(f19(B,D),B). [resolve(87,e,52,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | apply(D,f15(B,D),f16(B,D)) | member(f18(B,D),B). [resolve(87,e,53,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | apply(D,f15(B,D),f16(B,D)) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,54,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | apply(D,f15(B,D),f16(B,D)) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,55,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | apply(D,f15(B,D),f16(B,D)) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,56,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | -apply(D,f16(B,D),f15(B,D)) | member(f17(B,D),B). [resolve(87,e,57,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | -apply(D,f16(B,D),f15(B,D)) | member(f19(B,D),B). [resolve(87,e,58,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | -apply(D,f16(B,D),f15(B,D)) | member(f18(B,D),B). [resolve(87,e,59,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | -apply(D,f16(B,D),f15(B,D)) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,60,d)]. 0.73/1.01 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | -apply(D,f16(B,D),f15(B,D)) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,61,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | member(f14(B,D),B) | -apply(D,f16(B,D),f15(B,D)) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,62,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f15(B,D),B) | member(f17(B,D),B). [resolve(87,e,63,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f15(B,D),B) | member(f19(B,D),B). [resolve(87,e,64,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f15(B,D),B) | member(f18(B,D),B). [resolve(87,e,65,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f15(B,D),B) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,66,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f15(B,D),B) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,67,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f15(B,D),B) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,68,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f16(B,D),B) | member(f17(B,D),B). [resolve(87,e,69,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f16(B,D),B) | member(f19(B,D),B). [resolve(87,e,70,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f16(B,D),B) | member(f18(B,D),B). [resolve(87,e,71,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f16(B,D),B) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,72,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f16(B,D),B) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,73,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | member(f16(B,D),B) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,74,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | apply(D,f15(B,D),f16(B,D)) | member(f17(B,D),B). [resolve(87,e,75,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | apply(D,f15(B,D),f16(B,D)) | member(f19(B,D),B). [resolve(87,e,76,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | apply(D,f15(B,D),f16(B,D)) | member(f18(B,D),B). [resolve(87,e,77,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | apply(D,f15(B,D),f16(B,D)) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,78,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | apply(D,f15(B,D),f16(B,D)) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,79,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | apply(D,f15(B,D),f16(B,D)) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,80,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | -apply(D,f16(B,D),f15(B,D)) | member(f17(B,D),B). [resolve(87,e,81,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | -apply(D,f16(B,D),f15(B,D)) | member(f19(B,D),B). [resolve(87,e,82,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | -apply(D,f16(B,D),f15(B,D)) | member(f18(B,D),B). [resolve(87,e,83,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | -apply(D,f16(B,D),f15(B,D)) | apply(D,f17(B,D),f18(B,D)). [resolve(87,e,84,d)]. 0.73/1.02 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | -apply(D,f16(B,D),f15(B,D)) | apply(D,f18(B,D),f19(B,D)). [resolve(87,e,85,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | apply(D,C,A) | -apply(D,f14(B,D),f14(B,D)) | -apply(D,f16(B,D),f15(B,D)) | -apply(D,f17(B,D),f19(B,D)). [resolve(87,e,86,d)]. 0.73/1.03 88 -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -equivalence(E,B) # label(equivalence) # label(axiom). [clausify(15)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f15(B,E),B) | member(f17(B,E),B). [resolve(88,g,39,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f15(B,E),B) | member(f19(B,E),B). [resolve(88,g,40,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f15(B,E),B) | member(f18(B,E),B). [resolve(88,g,41,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f15(B,E),B) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,42,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f15(B,E),B) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,43,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f15(B,E),B) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,44,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f16(B,E),B) | member(f17(B,E),B). [resolve(88,g,45,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f16(B,E),B) | member(f19(B,E),B). [resolve(88,g,46,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f16(B,E),B) | member(f18(B,E),B). [resolve(88,g,47,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f16(B,E),B) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,48,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f16(B,E),B) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,49,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | member(f16(B,E),B) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,50,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | apply(E,f15(B,E),f16(B,E)) | member(f17(B,E),B). [resolve(88,g,51,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | apply(E,f15(B,E),f16(B,E)) | member(f19(B,E),B). [resolve(88,g,52,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | apply(E,f15(B,E),f16(B,E)) | member(f18(B,E),B). [resolve(88,g,53,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | apply(E,f15(B,E),f16(B,E)) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,54,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | apply(E,f15(B,E),f16(B,E)) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,55,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | apply(E,f15(B,E),f16(B,E)) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,56,d)]. 0.73/1.03 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | -apply(E,f16(B,E),f15(B,E)) | member(f17(B,E),B). [resolve(88,g,57,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | -apply(E,f16(B,E),f15(B,E)) | member(f19(B,E),B). [resolve(88,g,58,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | -apply(E,f16(B,E),f15(B,E)) | member(f18(B,E),B). [resolve(88,g,59,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | -apply(E,f16(B,E),f15(B,E)) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,60,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | -apply(E,f16(B,E),f15(B,E)) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,61,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | member(f14(B,E),B) | -apply(E,f16(B,E),f15(B,E)) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,62,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f15(B,E),B) | member(f17(B,E),B). [resolve(88,g,63,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f15(B,E),B) | member(f19(B,E),B). [resolve(88,g,64,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f15(B,E),B) | member(f18(B,E),B). [resolve(88,g,65,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f15(B,E),B) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,66,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f15(B,E),B) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,67,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f15(B,E),B) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,68,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f16(B,E),B) | member(f17(B,E),B). [resolve(88,g,69,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f16(B,E),B) | member(f19(B,E),B). [resolve(88,g,70,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f16(B,E),B) | member(f18(B,E),B). [resolve(88,g,71,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f16(B,E),B) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,72,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f16(B,E),B) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,73,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | member(f16(B,E),B) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,74,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | apply(E,f15(B,E),f16(B,E)) | member(f17(B,E),B). [resolve(88,g,75,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | apply(E,f15(B,E),f16(B,E)) | member(f19(B,E),B). [resolve(88,g,76,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | apply(E,f15(B,E),f16(B,E)) | member(f18(B,E),B). [resolve(88,g,77,d)]. 0.73/1.05 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | apply(E,f15(B,E),f16(B,E)) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,78,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | apply(E,f15(B,E),f16(B,E)) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,79,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | apply(E,f15(B,E),f16(B,E)) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,80,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | -apply(E,f16(B,E),f15(B,E)) | member(f17(B,E),B). [resolve(88,g,81,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | -apply(E,f16(B,E),f15(B,E)) | member(f19(B,E),B). [resolve(88,g,82,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | -apply(E,f16(B,E),f15(B,E)) | member(f18(B,E),B). [resolve(88,g,83,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | -apply(E,f16(B,E),f15(B,E)) | apply(E,f17(B,E),f18(B,E)). [resolve(88,g,84,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | -apply(E,f16(B,E),f15(B,E)) | apply(E,f18(B,E),f19(B,E)). [resolve(88,g,85,d)]. 1.85/2.13 Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,D) | -apply(E,D,C) | apply(E,A,C) | -apply(E,f14(B,E),f14(B,E)) | -apply(E,f16(B,E),f15(B,E)) | -apply(E,f17(B,E),f19(B,E)). [resolve(88,g,86,d)]. 1.85/2.13 89 disjoint(A,B) | member(f20(A,B),A) # label(disjoint) # label(axiom). [clausify(16)]. 1.85/2.13 90 -disjoint(A,B) | -member(C,A) | -member(C,B) # label(disjoint) # label(axiom). [clausify(16)]. 1.85/2.13 Derived: member(f20(A,B),A) | -member(C,A) | -member(C,B). [resolve(89,a,90,a)]. 1.85/2.13 91 disjoint(A,B) | member(f20(A,B),B) # label(disjoint) # label(axiom). [clausify(16)]. 1.85/2.13 Derived: member(f20(A,B),B) | -member(C,A) | -member(C,B). [resolve(91,a,90,a)]. 1.85/2.13 92 partition(A,f24(A)) | -non_overlapping(A) # label(non_overlapping) # label(axiom). [clausify(19)]. 1.85/2.13 93 -partition(A,B) | non_overlapping(A) # label(non_overlapping) # label(axiom). [clausify(19)]. 1.85/2.13 Derived: partition(A,f24(A)) | -partition(A,B). [resolve(92,b,93,b)]. 1.85/2.13 1.85/2.13 ============================== end predicate elimination ============= 1.85/2.13 1.85/2.13 Auto_denials: (non-Horn, no changes). 1.85/2.13 1.85/2.13 Term ordering decisions: 1.85/2.13 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. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. unaryUnion=1. singleton=1. product=1. sum=1. power_set=1. f24=1. equivalence_class=1. insertIntoMember=1. f8=1. f23=1. 1.85/2.13 1.85/2.13 ============================== end of process initial clauses ======== 1.85/2.13 1.85/2.13 ============================== CLAUSES FOR SEARCH ==================== 1.85/2.13 1.85/2.13 ============================== end of clauses for search ============= 1.85/2.13 1.85/2.13 ============================== SEARCH ================================ 1.85/2.13 1.85/2.13 % Starting search at 0.15 seconds. 1.85/2.13 1.85/2.13 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 44 (0.00 of 0.54 sec). 1.85/2.13 1.85/2.13 Low Water (keep): wt=32.000, iters=3682 1.85/2.13 1.85/2.13 Low Water (keep): wt=30.000, iters=3542 1.85/2.13 1.85/2.13 Low Water (keep): wt=28.000, iters=3389 1.85/2.13 1.85/2.13 Low Water (keep): wt=26.000, iters=3762 1.85/2.13 1.85/2.13 Low Water (keep): wt=22.000, iters=3348 1.85/2.13 1.85/2.13 Low Water (keep): wt=16.000, iters=4088 1.85/2.13 1.85/2.13 Low Water (keep): wt=15.000, iters=3903 1.85/2.13 1.85/2.13 Low Water (displace): id=5939, wt=80.000 1.85/2.13 1.85/2.13 Low Water (displace): id=4934, wt=78.000 1.85/2.13 1.85/2.13 Low Water (displace): id=4965, wt=75.000 1.85/2.13 1.85/2.13 Low Water (displace): id=6060, wt=74.000 1.85/2.13 1.85/2.13 Low Water (displace): id=6074, wt=73.000 1.85/2.13 1.85/2.13 Low Water (displace): id=6151, wt=70.000 1.85/2.13 1.85/2.13 Low Water (displace): id=6127, wt=69.000 1.85/2.13 1.85/2.13 Low Water (displace): id=5760, Cputime limit exceeded (core dumped) 180.05/180.35 EOF