0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.35 % Computer : n004.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % DateTime : Thu Jul 2 13:35:59 EDT 2020 0.14/0.35 % CPUTime : 0.82/1.37 ============================== Prover9 =============================== 0.82/1.37 Prover9 (32) version 2009-11A, November 2009. 0.82/1.37 Process 2383 was started by sandbox2 on n004.cluster.edu, 0.82/1.37 Thu Jul 2 13:36:00 2020 0.82/1.37 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_2208_n004.cluster.edu". 0.82/1.37 ============================== end of head =========================== 0.82/1.37 0.82/1.37 ============================== INPUT ================================= 0.82/1.37 0.82/1.37 % Reading from file /tmp/Prover9_2208_n004.cluster.edu 0.82/1.37 0.82/1.37 set(prolog_style_variables). 0.82/1.37 set(auto2). 0.82/1.37 % set(auto2) -> set(auto). 0.82/1.37 % set(auto) -> set(auto_inference). 0.82/1.37 % set(auto) -> set(auto_setup). 0.82/1.37 % set(auto_setup) -> set(predicate_elim). 0.82/1.37 % set(auto_setup) -> assign(eq_defs, unfold). 0.82/1.37 % set(auto) -> set(auto_limits). 0.82/1.37 % set(auto_limits) -> assign(max_weight, "100.000"). 0.82/1.37 % set(auto_limits) -> assign(sos_limit, 20000). 0.82/1.37 % set(auto) -> set(auto_denials). 0.82/1.37 % set(auto) -> set(auto_process). 0.82/1.37 % set(auto2) -> assign(new_constants, 1). 0.82/1.37 % set(auto2) -> assign(fold_denial_max, 3). 0.82/1.37 % set(auto2) -> assign(max_weight, "200.000"). 0.82/1.37 % set(auto2) -> assign(max_hours, 1). 0.82/1.37 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.82/1.37 % set(auto2) -> assign(max_seconds, 0). 0.82/1.37 % set(auto2) -> assign(max_minutes, 5). 0.82/1.37 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.82/1.37 % set(auto2) -> set(sort_initial_sos). 0.82/1.37 % set(auto2) -> assign(sos_limit, -1). 0.82/1.37 % set(auto2) -> assign(lrs_ticks, 3000). 0.82/1.37 % set(auto2) -> assign(max_megs, 400). 0.82/1.37 % set(auto2) -> assign(stats, some). 0.82/1.37 % set(auto2) -> clear(echo_input). 0.82/1.37 % set(auto2) -> set(quiet). 0.82/1.37 % set(auto2) -> clear(print_initial_clauses). 0.82/1.37 % set(auto2) -> clear(print_given). 0.82/1.37 assign(lrs_ticks,-1). 0.82/1.37 assign(sos_limit,10000). 0.82/1.37 assign(order,kbo). 0.82/1.37 set(lex_order_vars). 0.82/1.37 clear(print_given). 0.82/1.37 0.82/1.37 % formulas(sos). % not echoed (29 formulas) 0.82/1.37 0.82/1.37 ============================== end of input ========================== 0.82/1.37 0.82/1.37 % From the command line: assign(max_seconds, 960). 0.82/1.37 0.82/1.37 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.82/1.37 0.82/1.37 % Formulas that are not ordinary clauses: 0.82/1.37 1 (all X all A all B (member(X,A) & member(X,B) <-> member(X,intersection(A,B)))) # label(intersection) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 2 (all X all A ((all Y (member(Y,A) -> member(X,Y))) <-> member(X,product(A)))) # label(product) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 3 (all B all A all E (member(B,difference(E,A)) <-> member(B,E) & -member(B,A))) # label(difference) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 4 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 5 (all X all A (member(X,singleton(A)) <-> A = X)) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 6 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 7 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 8 (all A all B (subset(A,B) & subset(B,A) <-> equal_set(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 9 (all X all A all B (member(X,B) | member(X,A) <-> member(X,union(A,B)))) # label(union) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 10 (all X all A all B (B = X | X = A <-> member(X,unordered_pair(A,B)))) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 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]. 0.82/1.37 12 (all F all B all X ((exists Y (member(Y,B) & apply(F,X,Y))) <-> member(X,inverse_image2(F,B)))) # label(inverse_image2) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 13 (all F all A all Y ((exists X (member(X,A) & apply(F,X,Y))) <-> member(Y,image2(F,A)))) # label(image2) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 14 (all G all F all A all B all C all X all Z (member(Z,C) & member(X,A) -> (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]. 0.82/1.37 15 (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(F,X,Y1) & apply(G,X,Y2) -> Y2 = Y1))))) # label(equal_maps) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 16 (all F all A (identity(F,A) <-> (all X (member(X,A) -> apply(F,X,X))))) # label(identity) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 17 (all F all A all R all B all S (decreasing(F,A,R,B,S) <-> (all X1 all Y1 all X2 all Y2 (member(X2,A) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(Y2,B) & member(Y1,B) & member(X1,A) & apply(R,X1,X2) -> apply(S,Y2,Y1))))) # label(decreasing_function) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 18 (all F all A all B (injective(F,A,B) <-> (all X1 all X2 all Y (member(X1,A) & member(Y,B) & member(X2,A) -> (apply(F,X1,Y) & apply(F,X2,Y) -> X1 = X2))))) # label(injective) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 19 (all F all A all B all X all Y (member(Y,B) & member(X,A) -> (apply(inverse_function(F,A,B),Y,X) <-> apply(F,X,Y)))) # label(inverse_function) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 20 (all G all F all A all B ((all X all Y (member(Y,B) & member(X,A) -> (apply(G,Y,X) <-> apply(F,X,Y)))) <-> inverse_predicate(G,F,A,B))) # label(inverse_predicate) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 21 (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]. 0.82/1.37 22 (all F all A all B all Y (member(Y,B) & (exists X (apply(F,X,Y) & member(X,A))) <-> member(Y,image3(F,A,B)))) # label(image3) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 23 (all H all G all F all A all B all C (compose_predicate(H,G,F,A,B,C) <-> (all X all Z (member(Z,C) & member(X,A) -> (apply(H,X,Z) <-> (exists Y (member(Y,B) & apply(G,Y,Z) & apply(F,X,Y)))))))) # label(compose_predicate) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 24 (all F all A all B (maps(F,A,B) <-> (all X all Y1 all Y2 (member(Y1,B) & member(X,A) & member(Y2,B) -> (apply(F,X,Y1) & apply(F,X,Y2) -> Y1 = Y2))) & (all X (member(X,A) -> (exists Y (member(Y,B) & apply(F,X,Y))))))) # label(maps) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 25 (all F all A all R all B all S ((all X1 all Y1 all X2 all Y2 (member(Y1,B) & apply(F,X1,Y1) & apply(R,X1,X2) & member(X2,A) & member(X1,A) & member(Y2,B) & apply(F,X2,Y2) -> apply(S,Y1,Y2))) <-> increasing(F,A,R,B,S))) # label(increasing_function) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 26 (all F all B all A all X (member(X,inverse_image3(F,B,A)) <-> member(X,A) & (exists Y (member(Y,B) & apply(F,X,Y))))) # label(inverse_image3) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 27 (all F all A all B ((all Y (member(Y,B) -> (exists E (member(E,A) & apply(F,E,Y))))) <-> surjective(F,A,B))) # label(surjective) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 28 (all F all A all R all B all S (isomorphism(F,A,R,B,S) <-> one_to_one(F,A,B) & maps(F,A,B) & (all X1 all Y1 all X2 all Y2 (member(X2,A) & apply(F,X1,Y1) & member(Y2,B) & member(X1,A) & apply(F,X2,Y2) & member(Y1,B) -> (apply(S,Y1,Y2) <-> apply(R,X1,X2)))))) # label(isomorphism) # label(axiom) # label(non_clause). [assumption]. 0.82/1.37 29 -(all F all G all A all B all C (maps(G,B,C) & injective(F,A,B) & injective(G,B,C) & maps(F,A,B) -> injective(compose_function(G,F,A,B,C),A,C))) # label(thII07) # label(negated_conjecture) # label(non_clause). [assumption]. 0.82/1.37 0.82/1.37 ============================== end of process non-clausal formulas === 0.82/1.37 0.82/1.37 ============================== PROCESS INITIAL CLAUSES =============== 0.82/1.37 0.82/1.37 ============================== PREDICATE ELIMINATION ================= 0.82/1.37 30 subset(A,B) | -equal_set(A,B) # label(equal_set) # label(axiom). [clausify(8)]. 0.82/1.37 31 -subset(A,B) | -subset(B,A) | equal_set(A,B) # label(equal_set) # label(axiom). [clausify(8)]. 0.82/1.37 32 subset(A,B) | -equal_set(B,A) # label(equal_set) # label(axiom). [clausify(8)]. 0.82/1.37 33 member(A,power_set(B)) | -subset(A,B) # label(power_set) # label(axiom). [clausify(4)]. 0.82/1.38 34 -member(A,power_set(B)) | subset(A,B) # label(power_set) # label(axiom). [clausify(4)]. 0.82/1.38 35 -subset(A,B) | -member(C,A) | member(C,B) # label(subset) # label(axiom). [clausify(6)]. 0.82/1.38 Derived: -member(A,B) | member(A,C) | -member(B,power_set(C)). [resolve(35,a,34,b)]. 0.82/1.38 36 subset(A,B) | member(f2(A,B),A) # label(subset) # label(axiom). [clausify(6)]. 0.82/1.38 Derived: member(f2(A,B),A) | member(A,power_set(B)). [resolve(36,a,33,b)]. 0.82/1.38 Derived: member(f2(A,B),A) | -member(C,A) | member(C,B). [resolve(36,a,35,a)]. 0.82/1.38 37 subset(A,B) | -member(f2(A,B),B) # label(subset) # label(axiom). [clausify(6)]. 0.82/1.38 Derived: -member(f2(A,B),B) | member(A,power_set(B)). [resolve(37,a,33,b)]. 0.82/1.38 Derived: -member(f2(A,B),B) | -member(C,A) | member(C,B). [resolve(37,a,35,a)]. 0.82/1.38 38 equal_maps(A,B,C,D) | member(f8(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)]. 0.82/1.38 39 -equal_maps(A,B,C,D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,E) | -apply(B,V6,F) | F = E # label(equal_maps) # label(axiom). [clausify(15)]. 0.82/1.38 Derived: member(f8(A,B,C,D),D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,E) | -apply(B,V6,F) | F = E. [resolve(38,a,39,a)]. 0.82/1.38 40 equal_maps(A,B,C,D) | member(f9(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)]. 0.82/1.38 Derived: member(f9(A,B,C,D),D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,E) | -apply(B,V6,F) | F = E. [resolve(40,a,39,a)]. 0.82/1.38 41 equal_maps(A,B,C,D) | member(f7(A,B,C,D),C) # label(equal_maps) # label(axiom). [clausify(15)]. 0.82/1.38 Derived: member(f7(A,B,C,D),C) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,E) | -apply(B,V6,F) | F = E. [resolve(41,a,39,a)]. 0.82/1.38 42 equal_maps(A,B,C,D) | apply(A,f7(A,B,C,D),f8(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(15)]. 0.82/1.38 Derived: apply(A,f7(A,B,C,D),f8(A,B,C,D)) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,E) | -apply(B,V6,F) | F = E. [resolve(42,a,39,a)]. 0.82/1.38 43 equal_maps(A,B,C,D) | apply(B,f7(A,B,C,D),f9(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(15)]. 0.82/1.38 Derived: apply(A,f7(B,A,C,D),f9(B,A,C,D)) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,E) | -apply(A,V6,F) | F = E. [resolve(43,a,39,a)]. 0.82/1.38 44 equal_maps(A,B,C,D) | f9(A,B,C,D) != f8(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(15)]. 0.82/1.38 Derived: f9(A,B,C,D) != f8(A,B,C,D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,E) | -apply(B,V6,F) | F = E. [resolve(44,a,39,a)]. 0.82/1.38 45 identity(A,B) | member(f10(A,B),B) # label(identity) # label(axiom). [clausify(16)]. 0.82/1.38 46 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(16)]. 0.82/1.38 Derived: member(f10(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(45,a,46,a)]. 0.82/1.38 47 identity(A,B) | -apply(A,f10(A,B),f10(A,B)) # label(identity) # label(axiom). [clausify(16)]. 0.82/1.38 Derived: -apply(A,f10(A,B),f10(A,B)) | -member(C,B) | apply(A,C,C). [resolve(47,a,46,a)]. 0.82/1.38 48 decreasing(A,B,C,D,E) | member(f13(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.82/1.38 49 -decreasing(A,B,C,D,E) | -member(F,B) | -apply(A,V6,V7) | -apply(A,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,B) | -apply(C,V6,F) | apply(E,V8,V7) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.82/1.38 Derived: member(f13(A,B,C,D,E),B) | -member(F,B) | -apply(A,V6,V7) | -apply(A,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,B) | -apply(C,V6,F) | apply(E,V8,V7). [resolve(48,a,49,a)]. 0.82/1.38 50 decreasing(A,B,C,D,E) | apply(A,f11(A,B,C,D,E),f12(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.82/1.38 Derived: apply(A,f11(A,B,C,D,E),f12(A,B,C,D,E)) | -member(F,B) | -apply(A,V6,V7) | -apply(A,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,B) | -apply(C,V6,F) | apply(E,V8,V7). [resolve(50,a,49,a)]. 0.82/1.38 51 decreasing(A,B,C,D,E) | apply(A,f13(A,B,C,D,E),f14(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.82/1.38 Derived: apply(A,f13(A,B,C,D,E),f14(A,B,C,D,E)) | -member(F,B) | -apply(A,V6,V7) | -apply(A,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,B) | -apply(C,V6,F) | apply(E,V8,V7). [resolve(51,a,49,a)]. 0.85/1.38 52 decreasing(A,B,C,D,E) | member(f14(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.85/1.38 Derived: member(f14(A,B,C,D,E),D) | -member(F,B) | -apply(A,V6,V7) | -apply(A,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,B) | -apply(C,V6,F) | apply(E,V8,V7). [resolve(52,a,49,a)]. 0.85/1.38 53 decreasing(A,B,C,D,E) | member(f12(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.85/1.38 Derived: member(f12(A,B,C,D,E),D) | -member(F,B) | -apply(A,V6,V7) | -apply(A,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,B) | -apply(C,V6,F) | apply(E,V8,V7). [resolve(53,a,49,a)]. 0.85/1.38 54 decreasing(A,B,C,D,E) | member(f11(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.85/1.38 Derived: member(f11(A,B,C,D,E),B) | -member(F,B) | -apply(A,V6,V7) | -apply(A,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,B) | -apply(C,V6,F) | apply(E,V8,V7). [resolve(54,a,49,a)]. 0.85/1.38 55 decreasing(A,B,C,D,E) | apply(C,f11(A,B,C,D,E),f13(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.85/1.39 Derived: apply(A,f11(B,C,A,D,E),f13(B,C,A,D,E)) | -member(F,C) | -apply(B,V6,V7) | -apply(B,F,V8) | -member(V8,D) | -member(V7,D) | -member(V6,C) | -apply(A,V6,F) | apply(E,V8,V7). [resolve(55,a,49,a)]. 0.85/1.39 56 decreasing(A,B,C,D,E) | -apply(E,f14(A,B,C,D,E),f12(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(17)]. 0.85/1.39 Derived: -apply(A,f14(B,C,D,E,A),f12(B,C,D,E,A)) | -member(F,C) | -apply(B,V6,V7) | -apply(B,F,V8) | -member(V8,E) | -member(V7,E) | -member(V6,C) | -apply(D,V6,F) | apply(A,V8,V7). [resolve(56,a,49,a)]. 0.85/1.39 57 -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | -inverse_predicate(E,F,D,B) # label(inverse_predicate) # label(axiom). [clausify(20)]. 0.85/1.39 58 member(f19(A,B,C,D),D) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(20)]. 0.85/1.39 59 member(f18(A,B,C,D),C) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(20)]. 0.85/1.39 60 apply(A,f19(A,B,C,D),f18(A,B,C,D)) | apply(B,f18(A,B,C,D),f19(A,B,C,D)) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(20)]. 0.85/1.39 61 -apply(A,f19(A,B,C,D),f18(A,B,C,D)) | -apply(B,f18(A,B,C,D),f19(A,B,C,D)) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(20)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | member(f19(E,F,D,B),B). [resolve(57,e,58,b)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | member(f18(E,F,D,B),D). [resolve(57,e,59,b)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | apply(E,f19(E,F,D,B),f18(E,F,D,B)) | apply(F,f18(E,F,D,B),f19(E,F,D,B)). [resolve(57,e,60,c)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | -apply(E,f19(E,F,D,B),f18(E,F,D,B)) | -apply(F,f18(E,F,D,B),f19(E,F,D,B)). [resolve(57,e,61,c)]. 0.85/1.39 62 -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | -inverse_predicate(E,F,D,B) # label(inverse_predicate) # label(axiom). [clausify(20)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | member(f19(E,F,D,B),B). [resolve(62,e,58,b)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | member(f18(E,F,D,B),D). [resolve(62,e,59,b)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | apply(E,f19(E,F,D,B),f18(E,F,D,B)) | apply(F,f18(E,F,D,B),f19(E,F,D,B)). [resolve(62,e,60,c)]. 0.85/1.39 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | -apply(E,f19(E,F,D,B),f18(E,F,D,B)) | -apply(F,f18(E,F,D,B),f19(E,F,D,B)). [resolve(62,e,61,c)]. 0.85/1.39 63 one_to_one(A,B,C) | -surjective(A,B,C) | -injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(21)]. 0.85/1.39 64 -one_to_one(A,B,C) | surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(21)]. 0.85/1.39 65 -one_to_one(A,B,C) | injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(21)]. 0.85/1.39 66 -isomorphism(A,B,C,D,E) | one_to_one(A,B,D) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: -isomorphism(A,B,C,D,E) | surjective(A,B,D). [resolve(66,b,64,a)]. 0.85/1.39 Derived: -isomorphism(A,B,C,D,E) | injective(A,B,D). [resolve(66,b,65,a)]. 0.85/1.39 67 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | member(f39(A,B,C,D,E),B) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D). [resolve(67,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6). [resolve(67,b,66,b)]. 0.85/1.39 68 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(68,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(68,b,66,b)]. 0.85/1.39 69 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | member(f40(A,B,C,D,E),D) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D). [resolve(69,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6). [resolve(69,b,66,b)]. 0.85/1.39 70 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | member(f37(A,B,C,D,E),B) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D). [resolve(70,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6). [resolve(70,b,66,b)]. 0.85/1.39 71 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(71,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(71,b,66,b)]. 0.85/1.39 72 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | member(f38(A,B,C,D,E),D) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D). [resolve(72,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6). [resolve(72,b,66,b)]. 0.85/1.39 73 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(73,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(73,b,66,b)]. 0.85/1.39 74 isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -maps(A,B,D) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(74,b,63,a)]. 0.85/1.39 Derived: isomorphism(A,B,C,D,E) | -maps(A,B,D) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(74,b,66,b)]. 0.85/1.39 75 compose_predicate(A,B,C,D,E,F) | member(f23(A,B,C,D,E,F),F) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 76 -compose_predicate(A,B,C,D,E,F) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | member(f21(A,B,C,D,E,F,V7,V6),E) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 77 -compose_predicate(A,B,C,D,E,F) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(B,f21(A,B,C,D,E,F,V7,V6),V6) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 78 -compose_predicate(A,B,C,D,E,F) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(C,V7,f21(A,B,C,D,E,F,V7,V6)) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 79 -compose_predicate(A,B,C,D,E,F) | -member(V6,F) | -member(V7,D) | apply(A,V7,V6) | -member(V8,E) | -apply(B,V8,V6) | -apply(C,V7,V8) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 Derived: member(f23(A,B,C,D,E,F),F) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | member(f21(A,B,C,D,E,F,V7,V6),E). [resolve(75,a,76,a)]. 0.85/1.39 Derived: member(f23(A,B,C,D,E,F),F) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(B,f21(A,B,C,D,E,F,V7,V6),V6). [resolve(75,a,77,a)]. 0.85/1.39 Derived: member(f23(A,B,C,D,E,F),F) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(C,V7,f21(A,B,C,D,E,F,V7,V6)). [resolve(75,a,78,a)]. 0.85/1.39 Derived: member(f23(A,B,C,D,E,F),F) | -member(V6,F) | -member(V7,D) | apply(A,V7,V6) | -member(V8,E) | -apply(B,V8,V6) | -apply(C,V7,V8). [resolve(75,a,79,a)]. 0.85/1.39 80 compose_predicate(A,B,C,D,E,F) | member(f22(A,B,C,D,E,F),D) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 Derived: member(f22(A,B,C,D,E,F),D) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | member(f21(A,B,C,D,E,F,V7,V6),E). [resolve(80,a,76,a)]. 0.85/1.39 Derived: member(f22(A,B,C,D,E,F),D) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(B,f21(A,B,C,D,E,F,V7,V6),V6). [resolve(80,a,77,a)]. 0.85/1.39 Derived: member(f22(A,B,C,D,E,F),D) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(C,V7,f21(A,B,C,D,E,F,V7,V6)). [resolve(80,a,78,a)]. 0.85/1.39 Derived: member(f22(A,B,C,D,E,F),D) | -member(V6,F) | -member(V7,D) | apply(A,V7,V6) | -member(V8,E) | -apply(B,V8,V6) | -apply(C,V7,V8). [resolve(80,a,79,a)]. 0.85/1.39 81 compose_predicate(A,B,C,D,E,F) | apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | member(f24(A,B,C,D,E,F),E) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | member(f24(A,B,C,D,E,F),E) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | member(f21(A,B,C,D,E,F,V7,V6),E). [resolve(81,a,76,a)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | member(f24(A,B,C,D,E,F),E) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(B,f21(A,B,C,D,E,F,V7,V6),V6). [resolve(81,a,77,a)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | member(f24(A,B,C,D,E,F),E) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(C,V7,f21(A,B,C,D,E,F,V7,V6)). [resolve(81,a,78,a)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | member(f24(A,B,C,D,E,F),E) | -member(V6,F) | -member(V7,D) | apply(A,V7,V6) | -member(V8,E) | -apply(B,V8,V6) | -apply(C,V7,V8). [resolve(81,a,79,a)]. 0.85/1.39 82 compose_predicate(A,B,C,D,E,F) | apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(B,f24(A,B,C,D,E,F),f23(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(B,f24(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | member(f21(A,B,C,D,E,F,V7,V6),E). [resolve(82,a,76,a)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(B,f24(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(B,f21(A,B,C,D,E,F,V7,V6),V6). [resolve(82,a,77,a)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(B,f24(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(C,V7,f21(A,B,C,D,E,F,V7,V6)). [resolve(82,a,78,a)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(B,f24(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | apply(A,V7,V6) | -member(V8,E) | -apply(B,V8,V6) | -apply(C,V7,V8). [resolve(82,a,79,a)]. 0.85/1.39 83 compose_predicate(A,B,C,D,E,F) | apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(C,f22(A,B,C,D,E,F),f24(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.39 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(C,f22(A,B,C,D,E,F),f24(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | member(f21(A,B,C,D,E,F,V7,V6),E). [resolve(83,a,76,a)]. 0.85/1.40 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(C,f22(A,B,C,D,E,F),f24(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(B,f21(A,B,C,D,E,F,V7,V6),V6). [resolve(83,a,77,a)]. 0.85/1.40 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(C,f22(A,B,C,D,E,F),f24(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | -apply(A,V7,V6) | apply(C,V7,f21(A,B,C,D,E,F,V7,V6)). [resolve(83,a,78,a)]. 0.85/1.40 Derived: apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | apply(C,f22(A,B,C,D,E,F),f24(A,B,C,D,E,F)) | -member(V6,F) | -member(V7,D) | apply(A,V7,V6) | -member(V8,E) | -apply(B,V8,V6) | -apply(C,V7,V8). [resolve(83,a,79,a)]. 0.85/1.40 84 compose_predicate(A,B,C,D,E,F) | -apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,E) | -apply(B,V6,f23(A,B,C,D,E,F)) | -apply(C,f22(A,B,C,D,E,F),V6) # label(compose_predicate) # label(axiom). [clausify(23)]. 0.85/1.40 Derived: -apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,E) | -apply(B,V6,f23(A,B,C,D,E,F)) | -apply(C,f22(A,B,C,D,E,F),V6) | -member(V7,F) | -member(V8,D) | -apply(A,V8,V7) | member(f21(A,B,C,D,E,F,V8,V7),E). [resolve(84,a,76,a)]. 0.85/1.40 Derived: -apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,E) | -apply(B,V6,f23(A,B,C,D,E,F)) | -apply(C,f22(A,B,C,D,E,F),V6) | -member(V7,F) | -member(V8,D) | -apply(A,V8,V7) | apply(B,f21(A,B,C,D,E,F,V8,V7),V7). [resolve(84,a,77,a)]. 0.85/1.40 Derived: -apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,E) | -apply(B,V6,f23(A,B,C,D,E,F)) | -apply(C,f22(A,B,C,D,E,F),V6) | -member(V7,F) | -member(V8,D) | -apply(A,V8,V7) | apply(C,V8,f21(A,B,C,D,E,F,V8,V7)). [resolve(84,a,78,a)]. 0.85/1.40 Derived: -apply(A,f22(A,B,C,D,E,F),f23(A,B,C,D,E,F)) | -member(V6,E) | -apply(B,V6,f23(A,B,C,D,E,F)) | -apply(C,f22(A,B,C,D,E,F),V6) | -member(V7,F) | -member(V8,D) | apply(A,V8,V7) | -member(V9,E) | -apply(B,V9,V7) | -apply(C,V8,V9). [resolve(84,a,79,a)]. 0.85/1.40 85 maps(A,B,C) | member(f27(A,B,C),C) | member(f29(A,B,C),B) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 86 -maps(A,B,C) | -member(D,C) | -member(E,B) | -member(F,C) | -apply(A,E,D) | -apply(A,E,F) | F = D # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 87 -maps(A,B,C) | -member(D,B) | member(f25(A,B,C,D),C) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 88 -maps(A,B,C) | -member(D,B) | apply(A,D,f25(A,B,C,D)) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: member(f27(A,B,C),C) | member(f29(A,B,C),B) | -member(D,C) | -member(E,B) | -member(F,C) | -apply(A,E,D) | -apply(A,E,F) | F = D. [resolve(85,a,86,a)]. 0.85/1.40 Derived: member(f27(A,B,C),C) | member(f29(A,B,C),B) | -member(D,B) | member(f25(A,B,C,D),C). [resolve(85,a,87,a)]. 0.85/1.40 Derived: member(f27(A,B,C),C) | member(f29(A,B,C),B) | -member(D,B) | apply(A,D,f25(A,B,C,D)). [resolve(85,a,88,a)]. 0.85/1.40 89 maps(A,B,C) | member(f27(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: member(f27(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,C) | -member(F,B) | -member(V6,C) | -apply(A,F,E) | -apply(A,F,V6) | V6 = E. [resolve(89,a,86,a)]. 0.85/1.40 Derived: member(f27(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | member(f25(A,B,C,E),C). [resolve(89,a,87,a)]. 0.85/1.40 Derived: member(f27(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | apply(A,E,f25(A,B,C,E)). [resolve(89,a,88,a)]. 0.85/1.40 90 maps(A,B,C) | member(f26(A,B,C),B) | member(f29(A,B,C),B) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: member(f26(A,B,C),B) | member(f29(A,B,C),B) | -member(D,C) | -member(E,B) | -member(F,C) | -apply(A,E,D) | -apply(A,E,F) | F = D. [resolve(90,a,86,a)]. 0.85/1.40 Derived: member(f26(A,B,C),B) | member(f29(A,B,C),B) | -member(D,B) | member(f25(A,B,C,D),C). [resolve(90,a,87,a)]. 0.85/1.40 Derived: member(f26(A,B,C),B) | member(f29(A,B,C),B) | -member(D,B) | apply(A,D,f25(A,B,C,D)). [resolve(90,a,88,a)]. 0.85/1.40 91 maps(A,B,C) | member(f26(A,B,C),B) | -member(D,C) | -apply(A,f29(A,B,C),D) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: member(f26(A,B,C),B) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,C) | -member(F,B) | -member(V6,C) | -apply(A,F,E) | -apply(A,F,V6) | V6 = E. [resolve(91,a,86,a)]. 0.85/1.40 Derived: member(f26(A,B,C),B) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | member(f25(A,B,C,E),C). [resolve(91,a,87,a)]. 0.85/1.40 Derived: member(f26(A,B,C),B) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | apply(A,E,f25(A,B,C,E)). [resolve(91,a,88,a)]. 0.85/1.40 92 maps(A,B,C) | member(f28(A,B,C),C) | member(f29(A,B,C),B) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: member(f28(A,B,C),C) | member(f29(A,B,C),B) | -member(D,C) | -member(E,B) | -member(F,C) | -apply(A,E,D) | -apply(A,E,F) | F = D. [resolve(92,a,86,a)]. 0.85/1.40 Derived: member(f28(A,B,C),C) | member(f29(A,B,C),B) | -member(D,B) | member(f25(A,B,C,D),C). [resolve(92,a,87,a)]. 0.85/1.40 Derived: member(f28(A,B,C),C) | member(f29(A,B,C),B) | -member(D,B) | apply(A,D,f25(A,B,C,D)). [resolve(92,a,88,a)]. 0.85/1.40 93 maps(A,B,C) | member(f28(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: member(f28(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,C) | -member(F,B) | -member(V6,C) | -apply(A,F,E) | -apply(A,F,V6) | V6 = E. [resolve(93,a,86,a)]. 0.85/1.40 Derived: member(f28(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | member(f25(A,B,C,E),C). [resolve(93,a,87,a)]. 0.85/1.40 Derived: member(f28(A,B,C),C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | apply(A,E,f25(A,B,C,E)). [resolve(93,a,88,a)]. 0.85/1.40 94 maps(A,B,C) | apply(A,f26(A,B,C),f27(A,B,C)) | member(f29(A,B,C),B) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f27(A,B,C)) | member(f29(A,B,C),B) | -member(D,C) | -member(E,B) | -member(F,C) | -apply(A,E,D) | -apply(A,E,F) | F = D. [resolve(94,a,86,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f27(A,B,C)) | member(f29(A,B,C),B) | -member(D,B) | member(f25(A,B,C,D),C). [resolve(94,a,87,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f27(A,B,C)) | member(f29(A,B,C),B) | -member(D,B) | apply(A,D,f25(A,B,C,D)). [resolve(94,a,88,a)]. 0.85/1.40 95 maps(A,B,C) | apply(A,f26(A,B,C),f27(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f27(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,C) | -member(F,B) | -member(V6,C) | -apply(A,F,E) | -apply(A,F,V6) | V6 = E. [resolve(95,a,86,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f27(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | member(f25(A,B,C,E),C). [resolve(95,a,87,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f27(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | apply(A,E,f25(A,B,C,E)). [resolve(95,a,88,a)]. 0.85/1.40 96 maps(A,B,C) | apply(A,f26(A,B,C),f28(A,B,C)) | member(f29(A,B,C),B) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f28(A,B,C)) | member(f29(A,B,C),B) | -member(D,C) | -member(E,B) | -member(F,C) | -apply(A,E,D) | -apply(A,E,F) | F = D. [resolve(96,a,86,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f28(A,B,C)) | member(f29(A,B,C),B) | -member(D,B) | member(f25(A,B,C,D),C). [resolve(96,a,87,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f28(A,B,C)) | member(f29(A,B,C),B) | -member(D,B) | apply(A,D,f25(A,B,C,D)). [resolve(96,a,88,a)]. 0.85/1.40 97 maps(A,B,C) | apply(A,f26(A,B,C),f28(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f28(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,C) | -member(F,B) | -member(V6,C) | -apply(A,F,E) | -apply(A,F,V6) | V6 = E. [resolve(97,a,86,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f28(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | member(f25(A,B,C,E),C). [resolve(97,a,87,a)]. 0.85/1.40 Derived: apply(A,f26(A,B,C),f28(A,B,C)) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | apply(A,E,f25(A,B,C,E)). [resolve(97,a,88,a)]. 0.85/1.40 98 maps(A,B,C) | f28(A,B,C) != f27(A,B,C) | member(f29(A,B,C),B) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: f28(A,B,C) != f27(A,B,C) | member(f29(A,B,C),B) | -member(D,C) | -member(E,B) | -member(F,C) | -apply(A,E,D) | -apply(A,E,F) | F = D. [resolve(98,a,86,a)]. 0.85/1.40 Derived: f28(A,B,C) != f27(A,B,C) | member(f29(A,B,C),B) | -member(D,B) | member(f25(A,B,C,D),C). [resolve(98,a,87,a)]. 0.85/1.40 Derived: f28(A,B,C) != f27(A,B,C) | member(f29(A,B,C),B) | -member(D,B) | apply(A,D,f25(A,B,C,D)). [resolve(98,a,88,a)]. 0.85/1.40 99 maps(A,B,C) | f28(A,B,C) != f27(A,B,C) | -member(D,C) | -apply(A,f29(A,B,C),D) # label(maps) # label(axiom). [clausify(24)]. 0.85/1.40 Derived: f28(A,B,C) != f27(A,B,C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,C) | -member(F,B) | -member(V6,C) | -apply(A,F,E) | -apply(A,F,V6) | V6 = E. [resolve(99,a,86,a)]. 0.85/1.40 Derived: f28(A,B,C) != f27(A,B,C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | member(f25(A,B,C,E),C). [resolve(99,a,87,a)]. 0.85/1.40 Derived: f28(A,B,C) != f27(A,B,C) | -member(D,C) | -apply(A,f29(A,B,C),D) | -member(E,B) | apply(A,E,f25(A,B,C,E)). [resolve(99,a,88,a)]. 0.85/1.40 100 -isomorphism(A,B,C,D,E) | maps(A,B,D) # label(isomorphism) # label(axiom). [clausify(28)]. 0.85/1.40 Derived: -isomorphism(A,B,C,D,E) | -member(F,D) | -member(V6,B) | -member(V7,D) | -apply(A,V6,F) | -apply(A,V6,V7) | V7 = F. [resolve(100,b,86,a)]. 0.85/1.40 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f25(A,B,D,F),D). [resolve(100,b,87,a)]. 0.85/1.40 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f25(A,B,D,F)). [resolve(100,b,88,a)]. 0.85/1.40 101 maps(c2,c4,c5) # label(thII07) # label(negated_conjecture). [clausify(29)]. 0.85/1.40 Derived: -member(A,c5) | -member(B,c4) | -member(C,c5) | -apply(c2,B,A) | -apply(c2,B,C) | C = A. [resolve(101,a,86,a)]. 0.85/1.40 Derived: -member(A,c4) | member(f25(c2,c4,c5,A),c5). [resolve(101,a,87,a)]. 0.85/1.40 Derived: -member(A,c4) | apply(c2,A,f25(c2,c4,c5,A)). [resolve(101,a,88,a)]. 0.85/1.40 102 maps(c1,c3,c4) # label(thII07) # label(negated_conjecture). [clausify(29)]. 0.85/1.40 Derived: -member(A,c4) | -member(B,c3) | -member(C,c4) | -apply(c1,B,A) | -apply(c1,B,C) | C = A. [resolve(102,a,86,a)]. 0.85/1.40 Derived: -member(A,c3) | member(f25(c1,c3,c4,A),c4). [resolve(102,a,87,a)]. 0.85/1.40 Derived: -member(A,c3) | apply(c1,A,f25(c1,c3,c4,A)). [resolve(102,a,88,a)]. 0.85/1.40 103 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D). [resolve(67,b,63,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(103,b,85,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(103,b,89,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(103,b,90,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(103,b,91,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(103,b,92,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(103,b,93,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(103,b,94,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(103,b,95,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(103,b,96,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(103,b,97,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(103,b,98,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(103,b,99,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(103,b,100,b)]. 0.85/1.40 Derived: isomorphism(c2,c4,A,c5,B) | member(f39(c2,c4,A,c5,B),c4) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(103,b,101,a)]. 0.85/1.40 Derived: isomorphism(c1,c3,A,c4,B) | member(f39(c1,c3,A,c4,B),c3) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(103,b,102,a)]. 0.85/1.40 104 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6). [resolve(67,b,66,b)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(104,b,85,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(104,b,89,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(104,b,90,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(104,b,91,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(104,b,92,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(104,b,93,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(104,b,94,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(104,b,95,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(104,b,96,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(104,b,97,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(104,b,98,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(104,b,99,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(104,b,100,b)]. 0.85/1.40 105 isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(68,b,63,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(105,b,85,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(105,b,89,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(105,b,90,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(105,b,91,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(105,b,92,a)]. 0.85/1.40 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(105,b,93,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(105,b,94,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(105,b,95,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(105,b,96,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(105,b,97,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(105,b,98,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(105,b,99,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(105,b,100,b)]. 0.85/1.41 Derived: isomorphism(c2,c4,A,c5,B) | apply(c2,f37(c2,c4,A,c5,B),f38(c2,c4,A,c5,B)) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(105,b,101,a)]. 0.85/1.41 Derived: isomorphism(c1,c3,A,c4,B) | apply(c1,f37(c1,c3,A,c4,B),f38(c1,c3,A,c4,B)) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(105,b,102,a)]. 0.85/1.41 106 isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(68,b,66,b)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(106,b,85,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(106,b,89,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(106,b,90,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(106,b,91,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(106,b,92,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(106,b,93,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(106,b,94,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(106,b,95,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(106,b,96,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(106,b,97,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(106,b,98,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(106,b,99,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(106,b,100,b)]. 0.85/1.41 107 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D). [resolve(69,b,63,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(107,b,85,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(107,b,89,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(107,b,90,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(107,b,91,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(107,b,92,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(107,b,93,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(107,b,94,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(107,b,95,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(107,b,96,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(107,b,97,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(107,b,98,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(107,b,99,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(107,b,100,b)]. 0.85/1.41 Derived: isomorphism(c2,c4,A,c5,B) | member(f40(c2,c4,A,c5,B),c5) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(107,b,101,a)]. 0.85/1.41 Derived: isomorphism(c1,c3,A,c4,B) | member(f40(c1,c3,A,c4,B),c4) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(107,b,102,a)]. 0.85/1.41 108 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6). [resolve(69,b,66,b)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(108,b,85,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(108,b,89,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(108,b,90,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(108,b,91,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(108,b,92,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(108,b,93,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(108,b,94,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(108,b,95,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(108,b,96,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(108,b,97,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(108,b,98,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(108,b,99,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(108,b,100,b)]. 0.85/1.41 109 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D). [resolve(70,b,63,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(109,b,85,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(109,b,89,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(109,b,90,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(109,b,91,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(109,b,92,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(109,b,93,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(109,b,94,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(109,b,95,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(109,b,96,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(109,b,97,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(109,b,98,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(109,b,99,a)]. 0.85/1.41 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(109,b,100,b)]. 0.85/1.41 Derived: isomorphism(c2,c4,A,c5,B) | member(f37(c2,c4,A,c5,B),c4) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(109,b,101,a)]. 0.85/1.41 Derived: isomorphism(c1,c3,A,c4,B) | member(f37(c1,c3,A,c4,B),c3) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(109,b,102,a)]. 0.85/1.41 110 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6). [resolve(70,b,66,b)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(110,b,85,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(110,b,89,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(110,b,90,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(110,b,91,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(110,b,92,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(110,b,93,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(110,b,94,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(110,b,95,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(110,b,96,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(110,b,97,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(110,b,98,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(110,b,99,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(110,b,100,b)]. 0.85/1.42 111 isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(71,b,63,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(111,b,85,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(111,b,89,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(111,b,90,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(111,b,91,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(111,b,92,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(111,b,93,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(111,b,94,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(111,b,95,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(111,b,96,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(111,b,97,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(111,b,98,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(111,b,99,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(111,b,100,b)]. 0.85/1.42 Derived: isomorphism(c2,c4,A,c5,B) | apply(c2,f39(c2,c4,A,c5,B),f40(c2,c4,A,c5,B)) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(111,b,101,a)]. 0.85/1.42 Derived: isomorphism(c1,c3,A,c4,B) | apply(c1,f39(c1,c3,A,c4,B),f40(c1,c3,A,c4,B)) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(111,b,102,a)]. 0.85/1.42 112 isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(71,b,66,b)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(112,b,85,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(112,b,89,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(112,b,90,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(112,b,91,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(112,b,92,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(112,b,93,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(112,b,94,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(112,b,95,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(112,b,96,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(112,b,97,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(112,b,98,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(112,b,99,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(112,b,100,b)]. 0.85/1.42 113 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D). [resolve(72,b,63,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(113,b,85,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(113,b,89,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(113,b,90,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(113,b,91,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(113,b,92,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(113,b,93,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(113,b,94,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(113,b,95,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(113,b,96,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(113,b,97,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(113,b,98,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(113,b,99,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(113,b,100,b)]. 0.85/1.42 Derived: isomorphism(c2,c4,A,c5,B) | member(f38(c2,c4,A,c5,B),c5) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(113,b,101,a)]. 0.85/1.42 Derived: isomorphism(c1,c3,A,c4,B) | member(f38(c1,c3,A,c4,B),c4) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(113,b,102,a)]. 0.85/1.42 114 isomorphism(A,B,C,D,E) | -maps(A,B,D) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6). [resolve(72,b,66,b)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(114,b,85,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(114,b,89,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(114,b,90,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(114,b,91,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(114,b,92,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(114,b,93,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(114,b,94,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(114,b,95,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(114,b,96,a)]. 0.85/1.42 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(114,b,97,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(114,b,98,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(114,b,99,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(114,b,100,b)]. 0.85/1.43 115 isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(73,b,63,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(115,b,85,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(115,b,89,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(115,b,90,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(115,b,91,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(115,b,92,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(115,b,93,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(115,b,94,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(115,b,95,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(115,b,96,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(115,b,97,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(115,b,98,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(115,b,99,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(115,b,100,b)]. 0.85/1.43 Derived: isomorphism(c2,c4,A,c5,B) | apply(B,f38(c2,c4,A,c5,B),f40(c2,c4,A,c5,B)) | apply(A,f37(c2,c4,A,c5,B),f39(c2,c4,A,c5,B)) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(115,b,101,a)]. 0.85/1.43 Derived: isomorphism(c1,c3,A,c4,B) | apply(B,f38(c1,c3,A,c4,B),f40(c1,c3,A,c4,B)) | apply(A,f37(c1,c3,A,c4,B),f39(c1,c3,A,c4,B)) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(115,b,102,a)]. 0.85/1.43 116 isomorphism(A,B,C,D,E) | -maps(A,B,D) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(73,b,66,b)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(116,b,85,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(116,b,89,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(116,b,90,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(116,b,91,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(116,b,92,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(116,b,93,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(116,b,94,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(116,b,95,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(116,b,96,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(116,b,97,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(116,b,98,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(116,b,99,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(116,b,100,b)]. 0.85/1.43 117 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D). [resolve(74,b,63,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(117,b,85,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f27(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(117,b,89,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(117,b,90,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f26(A,B,D),B) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(117,b,91,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(117,b,92,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | member(f28(A,B,D),D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(117,b,93,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(117,b,94,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(117,b,95,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(117,b,96,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(117,b,97,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(117,b,98,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | f28(A,B,D) != f27(A,B,D) | -member(F,D) | -apply(A,f29(A,B,D),F). [resolve(117,b,99,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -surjective(A,B,D) | -injective(A,B,D) | -isomorphism(A,B,F,D,V6). [resolve(117,b,100,b)]. 0.85/1.43 Derived: isomorphism(c2,c4,A,c5,B) | -apply(B,f38(c2,c4,A,c5,B),f40(c2,c4,A,c5,B)) | -apply(A,f37(c2,c4,A,c5,B),f39(c2,c4,A,c5,B)) | -surjective(c2,c4,c5) | -injective(c2,c4,c5). [resolve(117,b,101,a)]. 0.85/1.43 Derived: isomorphism(c1,c3,A,c4,B) | -apply(B,f38(c1,c3,A,c4,B),f40(c1,c3,A,c4,B)) | -apply(A,f37(c1,c3,A,c4,B),f39(c1,c3,A,c4,B)) | -surjective(c1,c3,c4) | -injective(c1,c3,c4). [resolve(117,b,102,a)]. 0.85/1.43 118 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(74,b,66,b)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | member(f29(A,B,D),B). [resolve(118,b,85,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f27(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(118,b,89,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | member(f29(A,B,D),B). [resolve(118,b,90,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f26(A,B,D),B) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(118,b,91,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | member(f29(A,B,D),B). [resolve(118,b,92,a)]. 0.85/1.43 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | member(f28(A,B,D),D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(118,b,93,a)]. 0.85/1.46 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | member(f29(A,B,D),B). [resolve(118,b,94,a)]. 0.85/1.46 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f27(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(118,b,95,a)]. 0.85/1.46 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | member(f29(A,B,D),B). [resolve(118,b,96,a)]. 0.85/1.46 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | apply(A,f26(A,B,D),f28(A,B,D)) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(118,b,97,a)]. 0.85/1.46 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | member(f29(A,B,D),B). [resolve(118,b,98,a)]. 0.85/1.46 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | f28(A,B,D) != f27(A,B,D) | -member(V7,D) | -apply(A,f29(A,B,D),V7). [resolve(118,b,99,a)]. 0.85/1.46 Derived: isomorphism(A,B,C,D,E) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6) | -isomorphism(A,B,V7,D,V8). [resolve(118,b,100,b)]. 0.85/1.46 119 -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | -increasing(C,V6,E,B,V8) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 120 member(f31(A,B,C,D,E),D) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 121 apply(A,f30(A,B,C,D,E),f31(A,B,C,D,E)) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 122 apply(A,f30(B,C,A,D,E),f32(B,C,A,D,E)) | increasing(B,C,A,D,E) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 123 member(f32(A,B,C,D,E),B) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 124 member(f30(A,B,C,D,E),B) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 125 member(f33(A,B,C,D,E),D) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 126 apply(A,f32(A,B,C,D,E),f33(A,B,C,D,E)) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 127 -apply(A,f31(B,C,D,E,A),f33(B,C,D,E,A)) | increasing(B,C,D,E,A) # label(increasing_function) # label(axiom). [clausify(25)]. 0.85/1.46 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | member(f31(C,V6,E,B,V8),B). [resolve(119,i,120,b)]. 0.85/1.46 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | apply(C,f30(C,V6,E,B,V8),f31(C,V6,E,B,V8)). [resolve(119,i,121,b)]. 0.85/1.46 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | apply(E,f30(C,V6,E,B,V8),f32(C,V6,E,B,V8)). [resolve(119,i,122,b)]. 0.85/1.46 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | member(f32(C,V6,E,B,V8),V6). [resolve(119,i,123,b)]. 0.85/1.46 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | member(f30(C,V6,E,B,V8),V6). [resolve(119,i,124,b)]. 0.85/1.46 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | member(f33(C,V6,E,B,V8),B). [resolve(119,i,125,b)]. 3.75/4.26 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | apply(C,f32(C,V6,E,B,V8),f33(C,V6,E,B,V8)). [resolve(119,i,126,b)]. 3.75/4.26 Derived: -member(A,B) | -apply(C,D,A) | -apply(E,D,F) | -member(F,V6) | -member(D,V6) | -member(V7,B) | -apply(C,F,V7) | apply(V8,A,V7) | -apply(V8,f31(C,V6,E,B,V8),f33(C,V6,E,B,V8)). [resolve(119,i,127,b)]. 3.75/4.26 3.75/4.26 ============================== end predicate elimination ============= 3.75/4.26 3.75/4.26 Auto_denials: (non-Horn, no changes). 3.75/4.26 3.75/4.26 Term ordering decisions: 3.75/4.26 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. image2=1. intersection=1. inverse_image2=1. union=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f10=1. power_set=1. product=1. sum=1. singleton=1. image3=1. inverse_image3=1. inverse_function=1. f4=1. f5=1. f15=1. f16=1. f17=1. f26=1. f27=1. f28=1. f29=1. f35=1. f7=1. f8=1. f9=1. f18=1. f19=1. f20=1. f25=1. f34=1. f36=1. compose_function=1. f11=1. f12=1. f13=1. f14=1. f30=1. f31=1. f32=1. f33=1. f37=1. f38=1. f39=1. f40=1. f22=1. f23=1. f24=1. f6=1. f21=1. 3.75/4.26 3.75/4.26 ============================== end of process initial clauses ======== 3.75/4.26 3.75/4.26 ============================== CLAUSES FOR SEARCH ==================== 3.75/4.26 3.75/4.26 ============================== end of clauses for search ============= 3.75/4.26 3.75/4.26 ============================== SEARCH ================================ 3.75/4.26 3.75/4.26 % Starting search at 0.35 seconds. 3.75/4.26 3.75/4.26 Low Water (keep): wt=55.000, iters=3472 3.75/4.26 3.75/4.26 Low Water (keep): wt=43.000, iters=3421 3.75/4.26 3.75/4.26 Low Water (keep): wt=42.000, iters=3346 3.75/4.26 3.75/4.26 Low Water (keep): wt=40.000, iters=3516 3.75/4.26 3.75/4.26 Low Water (keep): wt=39.000, iters=3447 3.75/4.26 3.75/4.26 Low Water (keep): wt=25.000, iters=3438 3.75/4.26 3.75/4.26 Low Water (keep): wt=24.000, iters=3365 3.75/4.26 3.75/4.26 Low Water (keep): wt=22.000, iters=3365 3.75/4.26 3.75/4.26 Low Water (keep): wt=21.000, iters=3340 3.75/4.26 3.75/4.26 Low Water (displace): id=6705, wt=179.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6703, wt=173.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6805, wt=171.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6707, wt=167.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6806, wt=165.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6639, wt=153.000 3.75/4.26 3.75/4.26 Low Water (keep): wt=20.000, iters=3366 3.75/4.26 3.75/4.26 Low Water (displace): id=6638, wt=150.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6889, wt=149.000 3.75/4.26 3.75/4.26 Low Water (keep): wt=19.000, iters=3335 3.75/4.26 3.75/4.26 Low Water (displace): id=5205, wt=147.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6786, wt=146.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6784, wt=145.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6807, wt=144.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6891, wt=143.000 3.75/4.26 3.75/4.26 Low Water (displace): id=5353, wt=140.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6804, wt=139.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6808, wt=138.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6816, wt=137.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6863, wt=136.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6882, wt=133.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6925, wt=132.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6898, wt=131.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6926, wt=129.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6802, wt=127.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6868, wt=125.000 3.75/4.26 3.75/4.26 Low Water (keep): wt=18.000, iters=3345 3.75/4.26 3.75/4.26 Low Water (displace): id=7505, wt=124.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6887, wt=122.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6881, wt=119.000 3.75/4.26 3.75/4.26 Low Water (displace): id=7504, wt=118.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6862, wt=116.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6924, wt=115.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6935, wt=113.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6885, wt=112.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6936, wt=110.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6701, wt=106.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6884, wt=103.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6800, wt=100.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6953, wt=98.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6794, wt=97.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6937, wt=96.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6879, wt=95.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6243, wt=94.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6934, wt=93.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6911, wt=92.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6245, wt=91.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6917, wt=90.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6921, wt=89.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6256, wt=88.000 3.75/4.26 3.75/4.26 Low Water (keep): wt=17.000, iters=3490 3.75/4.26 3.75/4.26 Low Water (displace): id=6795, wt=87.000 3.75/4.26 3.75/4.26 Low Water (displace): id=6922, wt=86.000 3.75/4.26 3.75/4.26 Low Water (keep): wt=16Alarm clock 119.50/120.02 Prover9 interrupted 119.50/120.02 EOF