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 0.12/0.33 % Computer : n008.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 06:23:53 EDT 2022 0.12/0.33 % CPUTime : 0.41/1.00 ============================== Prover9 =============================== 0.41/1.00 Prover9 (32) version 2009-11A, November 2009. 0.41/1.00 Process 382 was started by sandbox on n008.cluster.edu, 0.41/1.00 Tue Aug 9 06:23:54 2022 0.41/1.00 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_32693_n008.cluster.edu". 0.41/1.00 ============================== end of head =========================== 0.41/1.00 0.41/1.00 ============================== INPUT ================================= 0.41/1.00 0.41/1.00 % Reading from file /tmp/Prover9_32693_n008.cluster.edu 0.41/1.00 0.41/1.00 set(prolog_style_variables). 0.41/1.00 set(auto2). 0.41/1.00 % set(auto2) -> set(auto). 0.41/1.00 % set(auto) -> set(auto_inference). 0.41/1.00 % set(auto) -> set(auto_setup). 0.41/1.00 % set(auto_setup) -> set(predicate_elim). 0.41/1.00 % set(auto_setup) -> assign(eq_defs, unfold). 0.41/1.00 % set(auto) -> set(auto_limits). 0.41/1.00 % set(auto_limits) -> assign(max_weight, "100.000"). 0.41/1.00 % set(auto_limits) -> assign(sos_limit, 20000). 0.41/1.00 % set(auto) -> set(auto_denials). 0.41/1.00 % set(auto) -> set(auto_process). 0.41/1.00 % set(auto2) -> assign(new_constants, 1). 0.41/1.00 % set(auto2) -> assign(fold_denial_max, 3). 0.41/1.00 % set(auto2) -> assign(max_weight, "200.000"). 0.41/1.00 % set(auto2) -> assign(max_hours, 1). 0.41/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.41/1.00 % set(auto2) -> assign(max_seconds, 0). 0.41/1.00 % set(auto2) -> assign(max_minutes, 5). 0.41/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.41/1.00 % set(auto2) -> set(sort_initial_sos). 0.41/1.00 % set(auto2) -> assign(sos_limit, -1). 0.41/1.00 % set(auto2) -> assign(lrs_ticks, 3000). 0.41/1.00 % set(auto2) -> assign(max_megs, 400). 0.41/1.00 % set(auto2) -> assign(stats, some). 0.41/1.00 % set(auto2) -> clear(echo_input). 0.41/1.00 % set(auto2) -> set(quiet). 0.41/1.00 % set(auto2) -> clear(print_initial_clauses). 0.41/1.00 % set(auto2) -> clear(print_given). 0.41/1.00 assign(lrs_ticks,-1). 0.41/1.00 assign(sos_limit,10000). 0.41/1.00 assign(order,kbo). 0.41/1.00 set(lex_order_vars). 0.41/1.00 clear(print_given). 0.41/1.00 0.41/1.00 % formulas(sos). % not echoed (29 formulas) 0.41/1.00 0.41/1.00 ============================== end of input ========================== 0.41/1.00 0.41/1.00 % From the command line: assign(max_seconds, 960). 0.41/1.00 0.41/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.41/1.00 0.41/1.00 % Formulas that are not ordinary clauses: 0.41/1.00 1 (all X all A ((all Y (member(Y,A) -> member(X,Y))) <-> member(X,product(A)))) # label(product) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 2 (all X all A (member(X,singleton(A)) <-> A = X)) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 3 (all A all B (subset(A,B) & subset(B,A) <-> equal_set(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 4 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = A | X = B)) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 5 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 6 (all X all A ((exists Y (member(Y,A) & member(X,Y))) <-> member(X,sum(A)))) # label(sum) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 7 (all X all A (subset(X,A) <-> member(X,power_set(A)))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 8 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 9 (all X all A all B (member(X,B) & member(X,A) <-> member(X,intersection(A,B)))) # label(intersection) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 10 (all X all A all B (member(X,union(A,B)) <-> member(X,B) | member(X,A))) # label(union) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 11 (all B all A all E (-member(B,A) & member(B,E) <-> member(B,difference(E,A)))) # label(difference) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 12 (all F all G all A all B (equal_maps(F,G,A,B) <-> (all X all Y1 all Y2 (member(Y1,B) & member(Y2,B) & member(X,A) -> (apply(G,X,Y2) & apply(F,X,Y1) -> Y2 = Y1))))) # label(equal_maps) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 13 (all F all A all B (one_to_one(F,A,B) <-> surjective(F,A,B) & injective(F,A,B))) # label(one_to_one) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 14 (all H all G all F all A all B all C ((all X all Z (member(X,A) & member(Z,C) -> ((exists Y (apply(G,Y,Z) & apply(F,X,Y) & member(Y,B))) <-> apply(H,X,Z)))) <-> compose_predicate(H,G,F,A,B,C))) # label(compose_predicate) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 15 (all G all F all A all B all C all X all Z (member(X,A) & member(Z,C) -> (apply(compose_function(G,F,A,B,C),X,Z) <-> (exists Y (apply(F,X,Y) & apply(G,Y,Z) & member(Y,B)))))) # label(compose_function) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 16 (all F all A all Y (member(Y,image2(F,A)) <-> (exists X (apply(F,X,Y) & member(X,A))))) # label(image2) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 17 (all F all A all R all B all S (increasing(F,A,R,B,S) <-> (all X1 all Y1 all X2 all Y2 (apply(R,X1,X2) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(Y2,B) & member(X2,A) & member(Y1,B) & member(X1,A) -> apply(S,Y1,Y2))))) # label(increasing_function) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 18 (all F all A all B (maps(F,A,B) <-> (all X (member(X,A) -> (exists Y (member(Y,B) & apply(F,X,Y))))) & (all X all Y1 all Y2 (member(Y2,B) & member(Y1,B) & member(X,A) -> (apply(F,X,Y1) & apply(F,X,Y2) -> Y2 = Y1))))) # label(maps) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 19 (all F all B all A all X ((exists Y (apply(F,X,Y) & member(Y,B))) & member(X,A) <-> member(X,inverse_image3(F,B,A)))) # label(inverse_image3) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 20 (all F all A all B all X all Y (member(X,A) & member(Y,B) -> (apply(F,X,Y) <-> apply(inverse_function(F,A,B),Y,X)))) # label(inverse_function) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 21 (all F all A all B all Y (member(Y,image3(F,A,B)) <-> (exists X (member(X,A) & apply(F,X,Y))) & member(Y,B))) # label(image3) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 22 (all G all F all A all B ((all X all Y (member(X,A) & member(Y,B) -> (apply(F,X,Y) <-> apply(G,Y,X)))) <-> inverse_predicate(G,F,A,B))) # label(inverse_predicate) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 23 (all F all A all R all B all S (one_to_one(F,A,B) & (all X1 all Y1 all X2 all Y2 (member(X1,A) & member(X2,A) & member(Y2,B) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(Y1,B) -> (apply(S,Y1,Y2) <-> apply(R,X1,X2)))) & maps(F,A,B) <-> isomorphism(F,A,R,B,S))) # label(isomorphism) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 24 (all F all A (identity(F,A) <-> (all X (member(X,A) -> apply(F,X,X))))) # label(identity) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 25 (all F all A all B (surjective(F,A,B) <-> (all Y (member(Y,B) -> (exists E (apply(F,E,Y) & member(E,A))))))) # label(surjective) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 26 (all F all B all X ((exists Y (apply(F,X,Y) & member(Y,B))) <-> member(X,inverse_image2(F,B)))) # label(inverse_image2) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 27 (all F all A all R all B all S ((all X1 all Y1 all X2 all Y2 (member(Y1,B) & member(X2,A) & member(Y2,B) & apply(R,X1,X2) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(X1,A) -> apply(S,Y2,Y1))) <-> decreasing(F,A,R,B,S))) # label(decreasing_function) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 28 (all F all A all B ((all X1 all X2 all Y (member(X2,A) & member(Y,B) & member(X1,A) -> (apply(F,X2,Y) & apply(F,X1,Y) -> X1 = X2))) <-> injective(F,A,B))) # label(injective) # label(axiom) # label(non_clause). [assumption]. 0.41/1.00 29 -(all F all G all A all B all C all R all S all T (decreasing(G,B,S,C,T) & increasing(F,A,R,B,S) & maps(G,B,C) & maps(F,A,B) -> decreasing(compose_function(G,F,A,B,C),A,R,C,T))) # label(thII38) # label(negated_conjecture) # label(non_clause). [assumption]. 0.41/1.00 0.41/1.00 ============================== end of process non-clausal formulas === 0.41/1.00 0.41/1.00 ============================== PROCESS INITIAL CLAUSES =============== 0.41/1.00 0.41/1.00 ============================== PREDICATE ELIMINATION ================= 0.41/1.00 30 subset(A,B) | -equal_set(A,B) # label(equal_set) # label(axiom). [clausify(3)]. 0.41/1.00 31 -subset(A,B) | -subset(B,A) | equal_set(A,B) # label(equal_set) # label(axiom). [clausify(3)]. 0.41/1.00 32 subset(A,B) | -equal_set(B,A) # label(equal_set) # label(axiom). [clausify(3)]. 0.41/1.01 33 subset(A,B) | -member(A,power_set(B)) # label(power_set) # label(axiom). [clausify(7)]. 0.41/1.01 34 -subset(A,B) | member(A,power_set(B)) # label(power_set) # label(axiom). [clausify(7)]. 0.41/1.01 35 -subset(A,B) | -member(C,A) | member(C,B) # label(subset) # label(axiom). [clausify(8)]. 0.41/1.01 Derived: -member(A,B) | member(A,C) | -member(B,power_set(C)). [resolve(35,a,33,a)]. 0.41/1.01 36 subset(A,B) | member(f3(A,B),A) # label(subset) # label(axiom). [clausify(8)]. 0.41/1.01 Derived: member(f3(A,B),A) | member(A,power_set(B)). [resolve(36,a,34,a)]. 0.41/1.01 Derived: member(f3(A,B),A) | -member(C,A) | member(C,B). [resolve(36,a,35,a)]. 0.41/1.01 37 subset(A,B) | -member(f3(A,B),B) # label(subset) # label(axiom). [clausify(8)]. 0.41/1.01 Derived: -member(f3(A,B),B) | member(A,power_set(B)). [resolve(37,a,34,a)]. 0.41/1.01 Derived: -member(f3(A,B),B) | -member(C,A) | member(C,B). [resolve(37,a,35,a)]. 0.41/1.01 38 equal_maps(A,B,C,D) | member(f5(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(12)]. 0.41/1.01 39 -equal_maps(A,B,C,D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E # label(equal_maps) # label(axiom). [clausify(12)]. 0.41/1.01 Derived: member(f5(A,B,C,D),D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(38,a,39,a)]. 0.41/1.01 40 equal_maps(A,B,C,D) | member(f6(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(12)]. 0.41/1.01 Derived: member(f6(A,B,C,D),D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(40,a,39,a)]. 0.41/1.01 41 equal_maps(A,B,C,D) | member(f4(A,B,C,D),C) # label(equal_maps) # label(axiom). [clausify(12)]. 0.41/1.01 Derived: member(f4(A,B,C,D),C) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(41,a,39,a)]. 0.41/1.01 42 equal_maps(A,B,C,D) | apply(B,f4(A,B,C,D),f6(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(12)]. 0.41/1.01 Derived: apply(A,f4(B,A,C,D),f6(B,A,C,D)) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,F) | -apply(B,V6,E) | F = E. [resolve(42,a,39,a)]. 0.41/1.01 43 equal_maps(A,B,C,D) | apply(A,f4(A,B,C,D),f5(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(12)]. 0.41/1.01 Derived: apply(A,f4(A,B,C,D),f5(A,B,C,D)) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(43,a,39,a)]. 0.41/1.01 44 equal_maps(A,B,C,D) | f6(A,B,C,D) != f5(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(12)]. 0.41/1.01 Derived: f6(A,B,C,D) != f5(A,B,C,D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(44,a,39,a)]. 0.41/1.01 45 one_to_one(A,B,C) | -surjective(A,B,C) | -injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(13)]. 0.41/1.01 46 -one_to_one(A,B,C) | surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(13)]. 0.41/1.01 47 -one_to_one(A,B,C) | injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(13)]. 0.41/1.01 48 -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: member(f26(A,B,C,D,E),B) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(48,a,45,a)]. 0.41/1.01 49 -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: member(f28(A,B,C,D,E),B) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(49,a,45,a)]. 0.41/1.01 50 -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: member(f29(A,B,C,D,E),D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(50,a,45,a)]. 0.41/1.01 51 -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(51,a,45,a)]. 0.41/1.01 52 -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(52,a,45,a)]. 0.41/1.01 53 -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: member(f27(A,B,C,D,E),D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(53,a,45,a)]. 0.41/1.01 54 -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | -maps(A,B,C) | isomorphism(A,B,E,C,D) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | -maps(B,C,E) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E). [resolve(54,a,45,a)]. 0.41/1.01 55 -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | -maps(A,B,C) | isomorphism(A,B,E,C,D) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | -maps(B,C,E) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E). [resolve(55,a,45,a)]. 0.41/1.01 56 one_to_one(A,B,C) | -isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | surjective(A,B,D). [resolve(56,a,46,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | injective(A,B,D). [resolve(56,a,47,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,48,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,49,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,50,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,51,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,52,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,53,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | -maps(A,B,D) | isomorphism(A,B,V6,D,F). [resolve(56,a,54,a)]. 0.41/1.01 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | -maps(A,B,D) | isomorphism(A,B,V6,D,F). [resolve(56,a,55,a)]. 0.41/1.01 57 -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | -compose_predicate(V8,E,V6,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.01 58 member(f7(A,B,C,D,E,F),D) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.01 59 member(f8(A,B,C,D,E,F),F) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.01 60 apply(A,f9(B,A,C,D,E,F),f8(B,A,C,D,E,F)) | apply(B,f7(B,A,C,D,E,F),f8(B,A,C,D,E,F)) | compose_predicate(B,A,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.01 61 apply(A,f7(B,C,A,D,E,F),f9(B,C,A,D,E,F)) | apply(B,f7(B,C,A,D,E,F),f8(B,C,A,D,E,F)) | compose_predicate(B,C,A,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.01 62 member(f9(A,B,C,D,E,F),E) | apply(A,f7(A,B,C,D,E,F),f8(A,B,C,D,E,F)) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.01 63 -apply(A,B,f8(C,A,D,E,F,V6)) | -apply(D,f7(C,A,D,E,F,V6),B) | -member(B,F) | -apply(C,f7(C,A,D,E,F,V6),f8(C,A,D,E,F,V6)) | compose_predicate(C,A,D,E,F,V6) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.01 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | member(f7(V8,E,V6,B,V7,D),B). [resolve(57,g,58,b)]. 0.41/1.01 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | member(f8(V8,E,V6,B,V7,D),D). [resolve(57,g,59,b)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | apply(E,f9(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)) | apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(57,g,60,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | apply(V6,f7(V8,E,V6,B,V7,D),f9(V8,E,V6,B,V7,D)) | apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(57,g,61,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | member(f9(V8,E,V6,B,V7,D),V7) | apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(57,g,62,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | -apply(E,V9,f8(V8,E,V6,B,V7,D)) | -apply(V6,f7(V8,E,V6,B,V7,D),V9) | -member(V9,V7) | -apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(57,g,63,e)]. 0.41/1.02 64 -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | -compose_predicate(F,E,V6,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | member(f7(F,E,V6,B,V7,D),B). [resolve(64,e,58,b)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | member(f8(F,E,V6,B,V7,D),D). [resolve(64,e,59,b)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | apply(E,f9(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)) | apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(64,e,60,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | apply(V6,f7(F,E,V6,B,V7,D),f9(F,E,V6,B,V7,D)) | apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(64,e,61,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | member(f9(F,E,V6,B,V7,D),V7) | apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(64,e,62,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | -apply(E,V8,f8(F,E,V6,B,V7,D)) | -apply(V6,f7(F,E,V6,B,V7,D),V8) | -member(V8,V7) | -apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(64,e,63,e)]. 0.41/1.02 65 -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | -compose_predicate(F,V6,E,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | member(f7(F,V6,E,B,V7,D),B). [resolve(65,e,58,b)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | member(f8(F,V6,E,B,V7,D),D). [resolve(65,e,59,b)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | apply(V6,f9(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)) | apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(65,e,60,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | apply(E,f7(F,V6,E,B,V7,D),f9(F,V6,E,B,V7,D)) | apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(65,e,61,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | member(f9(F,V6,E,B,V7,D),V7) | apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(65,e,62,c)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | -apply(V6,V8,f8(F,V6,E,B,V7,D)) | -apply(E,f7(F,V6,E,B,V7,D),V8) | -member(V8,V7) | -apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(65,e,63,e)]. 0.41/1.02 66 -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | -compose_predicate(E,F,V6,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | member(f7(E,F,V6,B,V7,D),B). [resolve(66,e,58,b)]. 0.41/1.02 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | member(f8(E,F,V6,B,V7,D),D). [resolve(66,e,59,b)]. 0.41/1.03 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | apply(F,f9(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)) | apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(66,e,60,c)]. 0.41/1.03 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | apply(V6,f7(E,F,V6,B,V7,D),f9(E,F,V6,B,V7,D)) | apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(66,e,61,c)]. 0.41/1.03 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | member(f9(E,F,V6,B,V7,D),V7) | apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(66,e,62,c)]. 0.41/1.03 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | -apply(F,V8,f8(E,F,V6,B,V7,D)) | -apply(V6,f7(E,F,V6,B,V7,D),V8) | -member(V8,V7) | -apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(66,e,63,e)]. 0.41/1.03 67 increasing(A,B,C,D,E) | apply(C,f13(A,B,C,D,E),f15(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 68 -increasing(A,B,C,D,E) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: apply(A,f13(B,C,A,D,E),f15(B,C,A,D,E)) | -apply(A,F,V6) | -apply(B,F,V7) | -apply(B,V6,V8) | -member(V8,D) | -member(V6,C) | -member(V7,D) | -member(F,C) | apply(E,V7,V8). [resolve(67,a,68,a)]. 0.41/1.03 69 increasing(A,B,C,D,E) | apply(A,f13(A,B,C,D,E),f14(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: apply(A,f13(A,B,C,D,E),f14(A,B,C,D,E)) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(69,a,68,a)]. 0.41/1.03 70 increasing(A,B,C,D,E) | apply(A,f15(A,B,C,D,E),f16(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: apply(A,f15(A,B,C,D,E),f16(A,B,C,D,E)) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(70,a,68,a)]. 0.41/1.03 71 increasing(A,B,C,D,E) | member(f16(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: member(f16(A,B,C,D,E),D) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(71,a,68,a)]. 0.41/1.03 72 increasing(A,B,C,D,E) | member(f15(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: member(f15(A,B,C,D,E),B) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(72,a,68,a)]. 0.41/1.03 73 increasing(A,B,C,D,E) | member(f14(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: member(f14(A,B,C,D,E),D) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(73,a,68,a)]. 0.41/1.03 74 increasing(A,B,C,D,E) | member(f13(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: member(f13(A,B,C,D,E),B) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(74,a,68,a)]. 0.41/1.03 75 increasing(A,B,C,D,E) | -apply(E,f14(A,B,C,D,E),f16(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.41/1.03 Derived: -apply(A,f14(B,C,D,E,A),f16(B,C,D,E,A)) | -apply(D,F,V6) | -apply(B,F,V7) | -apply(B,V6,V8) | -member(V8,E) | -member(V6,C) | -member(V7,E) | -member(F,C) | apply(A,V7,V8). [resolve(75,a,68,a)]. 0.41/1.03 76 increasing(c1,c3,c6,c4,c7) # label(thII38) # label(negated_conjecture). [clausify(29)]. 0.41/1.03 Derived: -apply(c6,A,B) | -apply(c1,A,C) | -apply(c1,B,D) | -member(D,c4) | -member(B,c3) | -member(C,c4) | -member(A,c3) | apply(c7,C,D). [resolve(76,a,68,a)]. 0.41/1.03 77 maps(A,B,C) | member(f18(A,B,C),B) | member(f21(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 78 -maps(A,B,C) | -member(D,B) | member(f17(A,B,C,D),C) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 79 -maps(A,B,C) | -member(D,B) | apply(A,D,f17(A,B,C,D)) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 80 -maps(A,B,C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f21(A,B,C),C) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(77,a,78,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f21(A,B,C),C) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(77,a,79,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f21(A,B,C),C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(77,a,80,a)]. 0.41/1.03 81 maps(A,B,C) | member(f18(A,B,C),B) | member(f20(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f20(A,B,C),C) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(81,a,78,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f20(A,B,C),C) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(81,a,79,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f20(A,B,C),C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(81,a,80,a)]. 0.41/1.03 82 maps(A,B,C) | member(f18(A,B,C),B) | member(f19(A,B,C),B) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f19(A,B,C),B) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(82,a,78,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f19(A,B,C),B) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(82,a,79,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | member(f19(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(82,a,80,a)]. 0.41/1.03 83 maps(A,B,C) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(83,a,78,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(83,a,79,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(83,a,80,a)]. 0.41/1.03 84 maps(A,B,C) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(84,a,78,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(84,a,79,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(84,a,80,a)]. 0.41/1.03 85 maps(A,B,C) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(85,a,78,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(85,a,79,a)]. 0.41/1.03 Derived: member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(85,a,80,a)]. 0.41/1.03 86 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | member(f21(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f21(C,D,B),B) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(86,a,78,a)]. 0.41/1.03 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f21(C,D,B),B) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(86,a,79,a)]. 0.41/1.03 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f21(C,D,B),B) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(86,a,80,a)]. 0.41/1.03 87 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | member(f20(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.41/1.03 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f20(C,D,B),B) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(87,a,78,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f20(C,D,B),B) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(87,a,79,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f20(C,D,B),B) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(87,a,80,a)]. 0.74/1.04 88 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | member(f19(A,B,C),B) # label(maps) # label(axiom). [clausify(18)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f19(C,D,B),D) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(88,a,78,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f19(C,D,B),D) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(88,a,79,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f19(C,D,B),D) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(88,a,80,a)]. 0.74/1.04 89 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | apply(A,f19(A,B,C),f20(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f20(C,D,B)) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(89,a,78,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f20(C,D,B)) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(89,a,79,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f20(C,D,B)) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(89,a,80,a)]. 0.74/1.04 90 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | apply(A,f19(A,B,C),f21(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f21(C,D,B)) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(90,a,78,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f21(C,D,B)) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(90,a,79,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f21(C,D,B)) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(90,a,80,a)]. 0.74/1.04 91 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | f21(A,B,C) != f20(A,B,C) # label(maps) # label(axiom). [clausify(18)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | f21(C,D,B) != f20(C,D,B) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(91,a,78,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | f21(C,D,B) != f20(C,D,B) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(91,a,79,a)]. 0.74/1.04 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | f21(C,D,B) != f20(C,D,B) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(91,a,80,a)]. 0.74/1.04 92 maps(A,B,C) | -isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.74/1.04 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f17(A,B,D,F),D). [resolve(92,a,78,a)]. 0.74/1.04 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f17(A,B,D,F)). [resolve(92,a,79,a)]. 0.74/1.04 Derived: -isomorphism(A,B,C,D,E) | -member(F,D) | -member(V6,D) | -member(V7,B) | -apply(A,V7,V6) | -apply(A,V7,F) | F = V6. [resolve(92,a,80,a)]. 0.74/1.04 93 maps(c2,c4,c5) # label(thII38) # label(negated_conjecture). [clausify(29)]. 0.74/1.04 Derived: -member(A,c4) | member(f17(c2,c4,c5,A),c5). [resolve(93,a,78,a)]. 0.74/1.04 Derived: -member(A,c4) | apply(c2,A,f17(c2,c4,c5,A)). [resolve(93,a,79,a)]. 0.74/1.04 Derived: -member(A,c5) | -member(B,c5) | -member(C,c4) | -apply(c2,C,B) | -apply(c2,C,A) | A = B. [resolve(93,a,80,a)]. 0.74/1.04 94 maps(c1,c3,c4) # label(thII38) # label(negated_conjecture). [clausify(29)]. 0.74/1.04 Derived: -member(A,c3) | member(f17(c1,c3,c4,A),c4). [resolve(94,a,78,a)]. 0.74/1.04 Derived: -member(A,c3) | apply(c1,A,f17(c1,c3,c4,A)). [resolve(94,a,79,a)]. 0.74/1.04 Derived: -member(A,c4) | -member(B,c4) | -member(C,c3) | -apply(c1,C,B) | -apply(c1,C,A) | A = B. [resolve(94,a,80,a)]. 0.74/1.04 95 member(f26(A,B,C,D,E),B) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(48,a,45,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(95,b,77,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(95,b,81,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(95,b,82,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(95,b,83,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(95,b,84,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(95,b,85,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f21(A,B,D),D). [resolve(95,b,86,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f20(A,B,D),D). [resolve(95,b,87,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f19(A,B,D),B). [resolve(95,b,88,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(95,b,89,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(95,b,90,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | f21(A,B,D) != f20(A,B,D). [resolve(95,b,91,a)]. 0.74/1.04 Derived: member(f26(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(95,b,92,a)]. 0.74/1.04 Derived: member(f26(c2,c4,A,c5,B),c4) | isomorphism(c2,c4,A,c5,B) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(95,b,93,a)]. 0.74/1.04 Derived: member(f26(c1,c3,A,c4,B),c3) | isomorphism(c1,c3,A,c4,B) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(95,b,94,a)]. 0.74/1.04 96 member(f28(A,B,C,D,E),B) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(49,a,45,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(96,b,77,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(96,b,81,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(96,b,82,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(96,b,83,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(96,b,84,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(96,b,85,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f21(A,B,D),D). [resolve(96,b,86,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f20(A,B,D),D). [resolve(96,b,87,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f19(A,B,D),B). [resolve(96,b,88,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(96,b,89,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(96,b,90,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | f21(A,B,D) != f20(A,B,D). [resolve(96,b,91,a)]. 0.74/1.04 Derived: member(f28(A,B,C,D,E),B) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(96,b,92,a)]. 0.74/1.04 Derived: member(f28(c2,c4,A,c5,B),c4) | isomorphism(c2,c4,A,c5,B) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(96,b,93,a)]. 0.74/1.04 Derived: member(f28(c1,c3,A,c4,B),c3) | isomorphism(c1,c3,A,c4,B) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(96,b,94,a)]. 0.74/1.04 97 member(f29(A,B,C,D,E),D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(50,a,45,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(97,b,77,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(97,b,81,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(97,b,82,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(97,b,83,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(97,b,84,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(97,b,85,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f21(A,B,D),D). [resolve(97,b,86,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f20(A,B,D),D). [resolve(97,b,87,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f19(A,B,D),B). [resolve(97,b,88,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(97,b,89,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(97,b,90,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | f21(A,B,D) != f20(A,B,D). [resolve(97,b,91,a)]. 0.74/1.04 Derived: member(f29(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(97,b,92,a)]. 0.74/1.04 Derived: member(f29(c2,c4,A,c5,B),c5) | isomorphism(c2,c4,A,c5,B) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(97,b,93,a)]. 0.74/1.04 Derived: member(f29(c1,c3,A,c4,B),c4) | isomorphism(c1,c3,A,c4,B) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(97,b,94,a)]. 0.74/1.04 98 apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(51,a,45,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(98,b,77,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(98,b,81,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(98,b,82,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(98,b,83,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(98,b,84,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(98,b,85,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f21(A,B,D),D). [resolve(98,b,86,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f20(A,B,D),D). [resolve(98,b,87,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f19(A,B,D),B). [resolve(98,b,88,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(98,b,89,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(98,b,90,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | f21(A,B,D) != f20(A,B,D). [resolve(98,b,91,a)]. 0.74/1.04 Derived: apply(A,f26(A,B,C,D,E),f27(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(98,b,92,a)]. 0.74/1.04 Derived: apply(c2,f26(c2,c4,A,c5,B),f27(c2,c4,A,c5,B)) | isomorphism(c2,c4,A,c5,B) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(98,b,93,a)]. 0.74/1.04 Derived: apply(c1,f26(c1,c3,A,c4,B),f27(c1,c3,A,c4,B)) | isomorphism(c1,c3,A,c4,B) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(98,b,94,a)]. 0.74/1.04 99 apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(52,a,45,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(99,b,77,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(99,b,81,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(99,b,82,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(99,b,83,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(99,b,84,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(99,b,85,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f21(A,B,D),D). [resolve(99,b,86,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f20(A,B,D),D). [resolve(99,b,87,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f19(A,B,D),B). [resolve(99,b,88,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(99,b,89,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(99,b,90,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | f21(A,B,D) != f20(A,B,D). [resolve(99,b,91,a)]. 0.74/1.04 Derived: apply(A,f28(A,B,C,D,E),f29(A,B,C,D,E)) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(99,b,92,a)]. 0.74/1.04 Derived: apply(c2,f28(c2,c4,A,c5,B),f29(c2,c4,A,c5,B)) | isomorphism(c2,c4,A,c5,B) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(99,b,93,a)]. 0.74/1.04 Derived: apply(c1,f28(c1,c3,A,c4,B),f29(c1,c3,A,c4,B)) | isomorphism(c1,c3,A,c4,B) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(99,b,94,a)]. 0.74/1.04 100 member(f27(A,B,C,D,E),D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D). [resolve(53,a,45,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(100,b,77,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(100,b,81,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(100,b,82,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(100,b,83,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(100,b,84,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(100,b,85,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f21(A,B,D),D). [resolve(100,b,86,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f20(A,B,D),D). [resolve(100,b,87,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | member(f19(A,B,D),B). [resolve(100,b,88,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(100,b,89,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(100,b,90,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -member(F,D) | -apply(A,f18(A,B,D),F) | f21(A,B,D) != f20(A,B,D). [resolve(100,b,91,a)]. 0.74/1.04 Derived: member(f27(A,B,C,D,E),D) | isomorphism(A,B,C,D,E) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(100,b,92,a)]. 0.74/1.05 Derived: member(f27(c2,c4,A,c5,B),c5) | isomorphism(c2,c4,A,c5,B) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(100,b,93,a)]. 0.74/1.05 Derived: member(f27(c1,c3,A,c4,B),c4) | isomorphism(c1,c3,A,c4,B) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(100,b,94,a)]. 0.74/1.05 101 apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | -maps(B,C,E) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E). [resolve(54,a,45,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | member(f21(B,C,E),E). [resolve(101,c,77,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | member(f20(B,C,E),E). [resolve(101,c,81,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | member(f19(B,C,E),C). [resolve(101,c,82,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | apply(B,f19(B,C,E),f20(B,C,E)). [resolve(101,c,83,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | apply(B,f19(B,C,E),f21(B,C,E)). [resolve(101,c,84,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | f21(B,C,E) != f20(B,C,E). [resolve(101,c,85,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | member(f21(B,C,E),E). [resolve(101,c,86,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | member(f20(B,C,E),E). [resolve(101,c,87,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | member(f19(B,C,E),C). [resolve(101,c,88,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | apply(B,f19(B,C,E),f20(B,C,E)). [resolve(101,c,89,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | apply(B,f19(B,C,E),f21(B,C,E)). [resolve(101,c,90,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | f21(B,C,E) != f20(B,C,E). [resolve(101,c,91,a)]. 0.74/1.05 Derived: apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -isomorphism(B,C,F,E,V6). [resolve(101,c,92,a)]. 0.74/1.05 Derived: apply(A,f27(c2,c4,B,c5,A),f29(c2,c4,B,c5,A)) | apply(B,f26(c2,c4,B,c5,A),f28(c2,c4,B,c5,A)) | isomorphism(c2,c4,B,c5,A) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(101,c,93,a)]. 0.74/1.05 Derived: apply(A,f27(c1,c3,B,c4,A),f29(c1,c3,B,c4,A)) | apply(B,f26(c1,c3,B,c4,A),f28(c1,c3,B,c4,A)) | isomorphism(c1,c3,B,c4,A) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(101,c,94,a)]. 0.74/1.05 102 -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | -maps(B,C,E) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E). [resolve(55,a,45,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | member(f21(B,C,E),E). [resolve(102,c,77,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | member(f20(B,C,E),E). [resolve(102,c,81,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | member(f19(B,C,E),C). [resolve(102,c,82,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | apply(B,f19(B,C,E),f20(B,C,E)). [resolve(102,c,83,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | apply(B,f19(B,C,E),f21(B,C,E)). [resolve(102,c,84,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | member(f18(B,C,E),C) | f21(B,C,E) != f20(B,C,E). [resolve(102,c,85,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | member(f21(B,C,E),E). [resolve(102,c,86,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | member(f20(B,C,E),E). [resolve(102,c,87,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | member(f19(B,C,E),C). [resolve(102,c,88,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | apply(B,f19(B,C,E),f20(B,C,E)). [resolve(102,c,89,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | apply(B,f19(B,C,E),f21(B,C,E)). [resolve(102,c,90,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -member(F,E) | -apply(B,f18(B,C,E),F) | f21(B,C,E) != f20(B,C,E). [resolve(102,c,91,a)]. 0.74/1.05 Derived: -apply(A,f27(B,C,D,E,A),f29(B,C,D,E,A)) | -apply(D,f26(B,C,D,E,A),f28(B,C,D,E,A)) | isomorphism(B,C,D,E,A) | -surjective(B,C,E) | -injective(B,C,E) | -isomorphism(B,C,F,E,V6). [resolve(102,c,92,a)]. 0.74/1.05 Derived: -apply(A,f27(c2,c4,B,c5,A),f29(c2,c4,B,c5,A)) | -apply(B,f26(c2,c4,B,c5,A),f28(c2,c4,B,c5,A)) | isomorphism(c2,c4,B,c5,A) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(102,c,93,a)]. 0.74/1.05 Derived: -apply(A,f27(c1,c3,B,c4,A),f29(c1,c3,B,c4,A)) | -apply(B,f26(c1,c3,B,c4,A),f28(c1,c3,B,c4,A)) | isomorphism(c1,c3,B,c4,A) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(102,c,94,a)]. 0.74/1.05 103 -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,48,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(103,c,77,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(103,c,81,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(103,c,82,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(103,c,83,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(103,c,84,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(103,c,85,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(103,c,86,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(103,c,87,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(103,c,88,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(103,c,89,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(103,c,90,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(103,c,91,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(103,c,92,a)]. 0.74/1.05 104 -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,49,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(104,c,77,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(104,c,81,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(104,c,82,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(104,c,83,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(104,c,84,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(104,c,85,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(104,c,86,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(104,c,87,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(104,c,88,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(104,c,89,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(104,c,90,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(104,c,91,a)]. 0.74/1.05 Derived: -isomorphism(A,B,C,D,E) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(104,c,92,a)]. 0.74/1.06 105 -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,50,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(105,c,77,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(105,c,81,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(105,c,82,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(105,c,83,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(105,c,84,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(105,c,85,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(105,c,86,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(105,c,87,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(105,c,88,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(105,c,89,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(105,c,90,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(105,c,91,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(105,c,92,a)]. 0.74/1.06 106 -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,51,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(106,c,77,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(106,c,81,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(106,c,82,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(106,c,83,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(106,c,84,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(106,c,85,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(106,c,86,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(106,c,87,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(106,c,88,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(106,c,89,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(106,c,90,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(106,c,91,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(106,c,92,a)]. 0.74/1.06 107 -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,52,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(107,c,77,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(107,c,81,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(107,c,82,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(107,c,83,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(107,c,84,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(107,c,85,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(107,c,86,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(107,c,87,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(107,c,88,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(107,c,89,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(107,c,90,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(107,c,91,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(107,c,92,a)]. 0.74/1.06 108 -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | -maps(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(56,a,53,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(108,c,77,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(108,c,81,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(108,c,82,a)]. 0.74/1.06 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(108,c,83,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(108,c,84,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(108,c,85,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(108,c,86,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(108,c,87,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(108,c,88,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(108,c,89,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(108,c,90,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(108,c,91,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(108,c,92,a)]. 0.74/1.07 109 -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | -maps(A,B,D) | isomorphism(A,B,V6,D,F). [resolve(56,a,54,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(109,d,77,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(109,d,81,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(109,d,82,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(109,d,83,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(109,d,84,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(109,d,85,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(109,d,86,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(109,d,87,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(109,d,88,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(109,d,89,a)]. 0.74/1.07 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(109,d,90,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(109,d,91,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -isomorphism(A,B,V7,D,V8). [resolve(109,d,92,a)]. 0.82/1.10 110 -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | -maps(A,B,D) | isomorphism(A,B,V6,D,F). [resolve(56,a,55,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | member(f21(A,B,D),D). [resolve(110,d,77,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | member(f20(A,B,D),D). [resolve(110,d,81,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | member(f19(A,B,D),B). [resolve(110,d,82,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(110,d,83,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(110,d,84,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | member(f18(A,B,D),B) | f21(A,B,D) != f20(A,B,D). [resolve(110,d,85,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f21(A,B,D),D). [resolve(110,d,86,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f20(A,B,D),D). [resolve(110,d,87,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | member(f19(A,B,D),B). [resolve(110,d,88,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f20(A,B,D)). [resolve(110,d,89,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | apply(A,f19(A,B,D),f21(A,B,D)). [resolve(110,d,90,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -member(V7,D) | -apply(A,f18(A,B,D),V7) | f21(A,B,D) != f20(A,B,D). [resolve(110,d,91,a)]. 0.82/1.10 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F) | -isomorphism(A,B,V7,D,V8). [resolve(110,d,92,a)]. 0.82/1.10 111 -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | -inverse_predicate(F,E,B,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.82/1.10 112 member(f24(A,B,C,D),C) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.82/1.10 113 member(f25(A,B,C,D),D) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 3.00/3.29 114 apply(A,f24(B,A,C,D),f25(B,A,C,D)) | apply(B,f25(B,A,C,D),f24(B,A,C,D)) | inverse_predicate(B,A,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 3.00/3.29 115 -apply(A,f24(B,A,C,D),f25(B,A,C,D)) | -apply(B,f25(B,A,C,D),f24(B,A,C,D)) | inverse_predicate(B,A,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | member(f24(F,E,B,D),B). [resolve(111,e,112,b)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | member(f25(F,E,B,D),D). [resolve(111,e,113,b)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | apply(E,f24(F,E,B,D),f25(F,E,B,D)) | apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(111,e,114,c)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | -apply(E,f24(F,E,B,D),f25(F,E,B,D)) | -apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(111,e,115,c)]. 3.00/3.29 116 -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | -inverse_predicate(F,E,B,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | member(f24(F,E,B,D),B). [resolve(116,e,112,b)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | member(f25(F,E,B,D),D). [resolve(116,e,113,b)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | apply(E,f24(F,E,B,D),f25(F,E,B,D)) | apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(116,e,114,c)]. 3.00/3.29 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | -apply(E,f24(F,E,B,D),f25(F,E,B,D)) | -apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(116,e,115,c)]. 3.00/3.29 117 identity(A,B) | member(f30(A,B),B) # label(identity) # label(axiom). [clausify(24)]. 3.00/3.29 118 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(24)]. 3.00/3.29 Derived: member(f30(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(117,a,118,a)]. 3.00/3.29 119 identity(A,B) | -apply(A,f30(A,B),f30(A,B)) # label(identity) # label(axiom). [clausify(24)]. 3.00/3.29 Derived: -apply(A,f30(A,B),f30(A,B)) | -member(C,B) | apply(A,C,C). [resolve(119,a,118,a)]. 3.00/3.29 3.00/3.29 ============================== end predicate elimination ============= 3.00/3.29 3.00/3.29 Auto_denials: (non-Horn, no changes). 3.00/3.29 3.00/3.29 Term ordering decisions: 3.00/3.29 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. image2=1. intersection=1. inverse_image2=1. union=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f30=1. power_set=1. product=1. sum=1. singleton=1. image3=1. inverse_image3=1. inverse_function=1. f12=1. f18=1. f19=1. f20=1. f21=1. f32=1. f33=1. f38=1. f39=1. f40=1. f4=1. f5=1. f6=1. f17=1. f22=1. f23=1. f24=1. f25=1. f31=1. compose_function=1. f13=1. f14=1. f15=1. f16=1. f26=1. f27=1. f28=1. f29=1. f34=1. f35=1. f36=1. f37=1. f7=1. f8=1. f9=1. f11=1. f10=1. 3.00/3.29 3.00/3.29 ============================== end of process initial clauses ======== 3.00/3.29 3.00/3.29 ============================== CLAUSES FOR SEARCH ==================== 3.00/3.29 3.00/3.29 ============================== end of clauses for search ============= 3.00/3.29 3.00/3.29 ============================== SEARCH ================================ 3.00/3.29 3.00/3.29 % Starting search at 0.33 seconds. 3.00/3.29 3.00/3.29 Low Water (keep): wt=43.000, iters=3358 3.00/3.29 3.00/3.29 Low Water (keep): wt=42.000, iters=3634 3.00/3.29 3.00/3.29 Low Water (keep): wt=40.000, iters=3568 3.00/3.29 3.00/3.29 Low Water (keep): wt=39.000, iters=3506 3.00/3.29 3.00/3.29 Low Water (keep): wt=38.000, iters=3434 3.00/3.29 3.00/3.29 Low Water (keep): wt=36.000, iters=3798 3.00/3.29 3.00/3.29 Low Water (keep): wt=35.000, iters=3690 3.00/3.29 3.00/3.29 Low Water (keep): wt=33.000, iters=3585 3.00/3.29 3.00/3.29 Low Water (keep): wt=32.000, iters=3603 3.00/3.29 3.00/3.29 Low Water (keep): wt=31.000, iters=3530 3.00/3.29 3.00/3.29 Low Water (keep): wt=30.000, iters=3501 3.00/3.29 3.00/3.29 Low Water (keep): wt=29.000, iters=3440 3.00/3.29 3.00/3.29 Low Water (keep): wt=28.000, iters=3342 3.00/3.29 3.00/3.29 Low Water (keep): wt=25.000, iters=3760 3.00/3.29 3.00/3.29 Low Water (keep): wt=21.000, iters=3420 3.00/3.29 3.00/3.29 Low Water (keep): wt=19.000, iters=3341 3.00/3.29 3.00/3.29 Low Water (keep): wt=18.000, iters=3340 3.00/3.29 3.00/3.29 Low Water (keep): wt=17.000, iters=3348 3.00/3.29 3.00/3.29 Low Water (keep): wt=15.000, iters=5500 3.00/3.29 3.00/3.29 Low Water (keep): wt=13.000, iters=4937 3.00/3.29 3.00/3.29 Low Water (keep): wt=12.000, iters=3909 3.00/3.29 3.00/3.29 Low Water (displace): id=5690, wt=198.000Alarm clock 119.73/120.01 Prover9 interrupted 119.73/120.01 EOF