0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.02/0.24 % Computer : n131.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:34:40 CDT 2018 0.02/0.24 % CPUTime : 0.06/0.51 ============================== Prover9 =============================== 0.06/0.51 Prover9 (32) version 2009-11A, November 2009. 0.06/0.51 Process 44372 was started by sandbox2 on n131.star.cs.uiowa.edu, 0.06/0.51 Sat Jul 14 05:34:41 2018 0.06/0.51 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_44340_n131.star.cs.uiowa.edu". 0.06/0.51 ============================== end of head =========================== 0.06/0.51 0.06/0.51 ============================== INPUT ================================= 0.06/0.51 0.06/0.51 % Reading from file /tmp/Prover9_44340_n131.star.cs.uiowa.edu 0.06/0.51 0.06/0.51 set(prolog_style_variables). 0.06/0.51 set(auto2). 0.06/0.51 % set(auto2) -> set(auto). 0.06/0.51 % set(auto) -> set(auto_inference). 0.06/0.51 % set(auto) -> set(auto_setup). 0.06/0.51 % set(auto_setup) -> set(predicate_elim). 0.06/0.51 % set(auto_setup) -> assign(eq_defs, unfold). 0.06/0.51 % set(auto) -> set(auto_limits). 0.06/0.51 % set(auto_limits) -> assign(max_weight, "100.000"). 0.06/0.51 % set(auto_limits) -> assign(sos_limit, 20000). 0.06/0.51 % set(auto) -> set(auto_denials). 0.06/0.51 % set(auto) -> set(auto_process). 0.06/0.51 % set(auto2) -> assign(new_constants, 1). 0.06/0.51 % set(auto2) -> assign(fold_denial_max, 3). 0.06/0.51 % set(auto2) -> assign(max_weight, "200.000"). 0.06/0.51 % set(auto2) -> assign(max_hours, 1). 0.06/0.51 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.06/0.51 % set(auto2) -> assign(max_seconds, 0). 0.06/0.51 % set(auto2) -> assign(max_minutes, 5). 0.06/0.51 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.06/0.51 % set(auto2) -> set(sort_initial_sos). 0.06/0.51 % set(auto2) -> assign(sos_limit, -1). 0.06/0.51 % set(auto2) -> assign(lrs_ticks, 3000). 0.06/0.51 % set(auto2) -> assign(max_megs, 400). 0.06/0.51 % set(auto2) -> assign(stats, some). 0.06/0.51 % set(auto2) -> clear(echo_input). 0.06/0.51 % set(auto2) -> set(quiet). 0.06/0.51 % set(auto2) -> clear(print_initial_clauses). 0.06/0.51 % set(auto2) -> clear(print_given). 0.06/0.51 assign(lrs_ticks,-1). 0.06/0.51 assign(sos_limit,10000). 0.06/0.51 assign(order,kbo). 0.06/0.51 set(lex_order_vars). 0.06/0.51 clear(print_given). 0.06/0.51 0.06/0.51 % formulas(sos). % not echoed (29 formulas) 0.06/0.51 0.06/0.51 ============================== end of input ========================== 0.06/0.51 0.06/0.51 % From the command line: assign(max_seconds, 300). 0.06/0.51 0.06/0.51 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.06/0.51 0.06/0.51 % Formulas that are not ordinary clauses: 0.06/0.51 1 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 2 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = B | A = X)) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 3 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 4 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 5 (all X all A (member(X,sum(A)) <-> (exists Y (member(Y,A) & member(X,Y))))) # label(sum) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 6 (all X all A (X = A <-> member(X,singleton(A)))) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 7 (all A all B (subset(A,B) & subset(B,A) <-> equal_set(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 8 (all B all A all E (member(B,E) & -member(B,A) <-> member(B,difference(E,A)))) # label(difference) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 9 (all X all A (member(X,product(A)) <-> (all Y (member(Y,A) -> member(X,Y))))) # label(product) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 10 (all X all A all B (member(X,union(A,B)) <-> member(X,B) | member(X,A))) # label(union) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 11 (all X all A all B (member(X,intersection(A,B)) <-> member(X,A) & member(X,B))) # label(intersection) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 12 (all G all F all A all B (inverse_predicate(G,F,A,B) <-> (all X all Y (member(X,A) & member(Y,B) -> (apply(G,Y,X) <-> apply(F,X,Y)))))) # label(inverse_predicate) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 13 (all F all A all R all B all S (increasing(F,A,R,B,S) <-> (all X1 all Y1 all X2 all Y2 (member(X2,A) & apply(R,X1,X2) & apply(F,X2,Y2) & apply(F,X1,Y1) & member(Y2,B) & member(Y1,B) & member(X1,A) -> apply(S,Y1,Y2))))) # label(increasing_function) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 14 (all G all F all A all B all C all X all Z (member(X,A) & member(Z,C) -> ((exists Y (member(Y,B) & apply(G,Y,Z) & apply(F,X,Y))) <-> apply(compose_function(G,F,A,B,C),X,Z)))) # label(compose_function) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 15 (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]. 0.06/0.51 16 (all F all A all B ((all X (member(X,A) -> (exists Y (member(Y,B) & apply(F,X,Y))))) & (all X all Y1 all Y2 (member(Y2,B) & member(Y1,B) & member(X,A) -> (apply(F,X,Y1) & apply(F,X,Y2) -> Y2 = Y1))) <-> maps(F,A,B))) # label(maps) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 17 (all F all A all B (injective(F,A,B) <-> (all X1 all X2 all Y (member(X1,A) & member(X2,A) & member(Y,B) -> (apply(F,X2,Y) & apply(F,X1,Y) -> X2 = X1))))) # label(injective) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 18 (all F all B all A all X (member(X,A) & (exists Y (apply(F,X,Y) & member(Y,B))) <-> member(X,inverse_image3(F,B,A)))) # label(inverse_image3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 19 (all F all A (identity(F,A) <-> (all X (member(X,A) -> apply(F,X,X))))) # label(identity) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 20 (all F all A all R all B all S ((all X1 all Y1 all X2 all Y2 (member(X1,A) & member(Y1,B) & member(X2,A) & member(Y2,B) & apply(F,X2,Y2) & apply(F,X1,Y1) -> (apply(S,Y1,Y2) <-> apply(R,X1,X2)))) & one_to_one(F,A,B) & maps(F,A,B) <-> isomorphism(F,A,R,B,S))) # label(isomorphism) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 21 (all F all A all Y (member(Y,image2(F,A)) <-> (exists X (apply(F,X,Y) & member(X,A))))) # label(image2) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 22 (all F all A all B all Y ((exists X (member(X,A) & apply(F,X,Y))) & member(Y,B) <-> member(Y,image3(F,A,B)))) # label(image3) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 23 (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]. 0.06/0.51 24 (all F all G all A all B ((all X all Y1 all Y2 (member(X,A) & member(Y2,B) & member(Y1,B) -> (apply(G,X,Y2) & apply(F,X,Y1) -> Y1 = Y2))) <-> equal_maps(F,G,A,B))) # label(equal_maps) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 25 (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(X,A) & member(Z,C) -> ((exists Y (member(Y,B) & apply(F,X,Y) & apply(G,Y,Z))) <-> apply(H,X,Z)))))) # label(compose_predicate) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 26 (all F all A all B (injective(F,A,B) & surjective(F,A,B) <-> one_to_one(F,A,B))) # label(one_to_one) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 27 (all F all A all B all X all Y (member(X,A) & member(Y,B) -> (apply(F,X,Y) <-> apply(inverse_function(F,A,B),Y,X)))) # label(inverse_function) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 28 (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(X1,A) & member(Y1,B) & member(X2,A) & member(Y2,B) & apply(F,X2,Y2) & apply(F,X1,Y1) & apply(R,X1,X2) -> apply(S,Y2,Y1))))) # label(decreasing_function) # label(axiom) # label(non_clause). [assumption]. 0.06/0.51 29 -(all F all A all B all R all S (one_to_one(F,A,B) & maps(F,A,B) -> (increasing(F,A,R,B,S) & increasing(inverse_function(F,A,B),B,S,A,R) <-> isomorphism(F,A,R,B,S)))) # label(thII41) # label(negated_conjecture) # label(non_clause). [assumption]. 0.06/0.51 0.06/0.51 ============================== end of process non-clausal formulas === 0.06/0.51 0.06/0.51 ============================== PROCESS INITIAL CLAUSES =============== 0.06/0.51 0.06/0.51 ============================== PREDICATE ELIMINATION ================= 0.06/0.51 30 subset(A,B) | -equal_set(A,B) # label(equal_set) # label(axiom). [clausify(7)]. 0.06/0.51 31 -subset(A,B) | -subset(B,A) | equal_set(A,B) # label(equal_set) # label(axiom). [clausify(7)]. 0.06/0.51 32 subset(A,B) | -equal_set(B,A) # label(equal_set) # label(axiom). [clausify(7)]. 0.06/0.51 33 subset(A,B) | member(f1(A,B),A) # label(subset) # label(axiom). [clausify(1)]. 0.06/0.51 34 -subset(A,B) | -member(C,A) | member(C,B) # label(subset) # label(axiom). [clausify(1)]. 0.06/0.51 Derived: member(f1(A,B),A) | -member(C,A) | member(C,B). [resolve(33,a,34,a)]. 0.06/0.51 35 subset(A,B) | -member(f1(A,B),B) # label(subset) # label(axiom). [clausify(1)]. 0.06/0.51 Derived: -member(f1(A,B),B) | -member(C,A) | member(C,B). [resolve(35,a,34,a)]. 0.06/0.51 36 -member(A,power_set(B)) | subset(A,B) # label(power_set) # label(axiom). [clausify(3)]. 0.06/0.51 Derived: -member(A,power_set(B)) | -member(C,A) | member(C,B). [resolve(36,b,34,a)]. 0.06/0.51 37 member(A,power_set(B)) | -subset(A,B) # label(power_set) # label(axiom). [clausify(3)]. 0.06/0.51 Derived: member(A,power_set(B)) | member(f1(A,B),A). [resolve(37,b,33,a)]. 0.06/0.51 Derived: member(A,power_set(B)) | -member(f1(A,B),B). [resolve(37,b,35,a)]. 0.06/0.51 38 inverse_predicate(A,B,C,D) | member(f4(A,B,C,D),C) # label(inverse_predicate) # label(axiom). [clausify(12)]. 0.06/0.51 39 -inverse_predicate(A,B,C,D) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F) # label(inverse_predicate) # label(axiom). [clausify(12)]. 0.06/0.52 40 -inverse_predicate(A,B,C,D) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F) # label(inverse_predicate) # label(axiom). [clausify(12)]. 0.06/0.52 Derived: member(f4(A,B,C,D),C) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F). [resolve(38,a,39,a)]. 0.06/0.52 Derived: member(f4(A,B,C,D),C) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F). [resolve(38,a,40,a)]. 0.06/0.52 41 inverse_predicate(A,B,C,D) | member(f5(A,B,C,D),D) # label(inverse_predicate) # label(axiom). [clausify(12)]. 0.06/0.52 Derived: member(f5(A,B,C,D),D) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F). [resolve(41,a,39,a)]. 0.06/0.52 Derived: member(f5(A,B,C,D),D) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F). [resolve(41,a,40,a)]. 0.06/0.52 42 inverse_predicate(A,B,C,D) | apply(A,f5(A,B,C,D),f4(A,B,C,D)) | apply(B,f4(A,B,C,D),f5(A,B,C,D)) # label(inverse_predicate) # label(axiom). [clausify(12)]. 0.06/0.52 Derived: apply(A,f5(A,B,C,D),f4(A,B,C,D)) | apply(B,f4(A,B,C,D),f5(A,B,C,D)) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F). [resolve(42,a,39,a)]. 0.06/0.52 Derived: apply(A,f5(A,B,C,D),f4(A,B,C,D)) | apply(B,f4(A,B,C,D),f5(A,B,C,D)) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F). [resolve(42,a,40,a)]. 0.06/0.52 43 inverse_predicate(A,B,C,D) | -apply(A,f5(A,B,C,D),f4(A,B,C,D)) | -apply(B,f4(A,B,C,D),f5(A,B,C,D)) # label(inverse_predicate) # label(axiom). [clausify(12)]. 0.06/0.52 Derived: -apply(A,f5(A,B,C,D),f4(A,B,C,D)) | -apply(B,f4(A,B,C,D),f5(A,B,C,D)) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F). [resolve(43,a,39,a)]. 0.06/0.52 Derived: -apply(A,f5(A,B,C,D),f4(A,B,C,D)) | -apply(B,f4(A,B,C,D),f5(A,B,C,D)) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F). [resolve(43,a,40,a)]. 0.06/0.52 44 -member(A,B) | member(f16(C,B,D,A),D) | -maps(C,B,D) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 45 member(f12(A,B,C),B) | member(f15(A,B,C),C) | maps(A,B,C) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 46 member(f12(A,B,C),B) | member(f14(A,B,C),C) | maps(A,B,C) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 47 member(f12(A,B,C),B) | member(f13(A,B,C),B) | maps(A,B,C) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 48 member(f12(A,B,C),B) | apply(A,f13(A,B,C),f14(A,B,C)) | maps(A,B,C) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 49 member(f12(A,B,C),B) | apply(A,f13(A,B,C),f15(A,B,C)) | maps(A,B,C) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 50 member(f12(A,B,C),B) | f15(A,B,C) != f14(A,B,C) | maps(A,B,C) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 51 -member(A,B) | -apply(C,f12(C,D,B),A) | member(f15(C,D,B),B) | maps(C,D,B) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 52 -member(A,B) | -apply(C,f12(C,D,B),A) | member(f14(C,D,B),B) | maps(C,D,B) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 53 -member(A,B) | -apply(C,f12(C,D,B),A) | member(f13(C,D,B),D) | maps(C,D,B) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 54 -member(A,B) | -apply(C,f12(C,D,B),A) | apply(C,f13(C,D,B),f14(C,D,B)) | maps(C,D,B) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 55 -member(A,B) | -apply(C,f12(C,D,B),A) | apply(C,f13(C,D,B),f15(C,D,B)) | maps(C,D,B) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 56 -member(A,B) | -apply(C,f12(C,D,B),A) | f15(C,D,B) != f14(C,D,B) | maps(C,D,B) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | member(f12(C,B,D),B) | member(f15(C,B,D),D). [resolve(44,c,45,c)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | member(f12(C,B,D),B) | member(f14(C,B,D),D). [resolve(44,c,46,c)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | member(f12(C,B,D),B) | member(f13(C,B,D),B). [resolve(44,c,47,c)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | member(f12(C,B,D),B) | apply(C,f13(C,B,D),f14(C,B,D)). [resolve(44,c,48,c)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | member(f12(C,B,D),B) | apply(C,f13(C,B,D),f15(C,B,D)). [resolve(44,c,49,c)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | member(f12(C,B,D),B) | f15(C,B,D) != f14(C,B,D). [resolve(44,c,50,c)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | -member(E,D) | -apply(C,f12(C,B,D),E) | member(f15(C,B,D),D). [resolve(44,c,51,d)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | -member(E,D) | -apply(C,f12(C,B,D),E) | member(f14(C,B,D),D). [resolve(44,c,52,d)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | -member(E,D) | -apply(C,f12(C,B,D),E) | member(f13(C,B,D),B). [resolve(44,c,53,d)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | -member(E,D) | -apply(C,f12(C,B,D),E) | apply(C,f13(C,B,D),f14(C,B,D)). [resolve(44,c,54,d)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | -member(E,D) | -apply(C,f12(C,B,D),E) | apply(C,f13(C,B,D),f15(C,B,D)). [resolve(44,c,55,d)]. 0.06/0.52 Derived: -member(A,B) | member(f16(C,B,D,A),D) | -member(E,D) | -apply(C,f12(C,B,D),E) | f15(C,B,D) != f14(C,B,D). [resolve(44,c,56,d)]. 0.06/0.52 57 -member(A,B) | apply(C,A,f16(C,B,D,A)) | -maps(C,B,D) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | member(f12(C,B,D),B) | member(f15(C,B,D),D). [resolve(57,c,45,c)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | member(f12(C,B,D),B) | member(f14(C,B,D),D). [resolve(57,c,46,c)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | member(f12(C,B,D),B) | member(f13(C,B,D),B). [resolve(57,c,47,c)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | member(f12(C,B,D),B) | apply(C,f13(C,B,D),f14(C,B,D)). [resolve(57,c,48,c)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | member(f12(C,B,D),B) | apply(C,f13(C,B,D),f15(C,B,D)). [resolve(57,c,49,c)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | member(f12(C,B,D),B) | f15(C,B,D) != f14(C,B,D). [resolve(57,c,50,c)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | -member(E,D) | -apply(C,f12(C,B,D),E) | member(f15(C,B,D),D). [resolve(57,c,51,d)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | -member(E,D) | -apply(C,f12(C,B,D),E) | member(f14(C,B,D),D). [resolve(57,c,52,d)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | -member(E,D) | -apply(C,f12(C,B,D),E) | member(f13(C,B,D),B). [resolve(57,c,53,d)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | -member(E,D) | -apply(C,f12(C,B,D),E) | apply(C,f13(C,B,D),f14(C,B,D)). [resolve(57,c,54,d)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | -member(E,D) | -apply(C,f12(C,B,D),E) | apply(C,f13(C,B,D),f15(C,B,D)). [resolve(57,c,55,d)]. 0.06/0.52 Derived: -member(A,B) | apply(C,A,f16(C,B,D,A)) | -member(E,D) | -apply(C,f12(C,B,D),E) | f15(C,B,D) != f14(C,B,D). [resolve(57,c,56,d)]. 0.06/0.52 58 -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | -maps(F,E,B) # label(maps) # label(axiom). [clausify(16)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | member(f12(F,E,B),E) | member(f15(F,E,B),B). [resolve(58,g,45,c)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | member(f12(F,E,B),E) | member(f14(F,E,B),B). [resolve(58,g,46,c)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | member(f12(F,E,B),E) | member(f13(F,E,B),E). [resolve(58,g,47,c)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | member(f12(F,E,B),E) | apply(F,f13(F,E,B),f14(F,E,B)). [resolve(58,g,48,c)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | member(f12(F,E,B),E) | apply(F,f13(F,E,B),f15(F,E,B)). [resolve(58,g,49,c)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | member(f12(F,E,B),E) | f15(F,E,B) != f14(F,E,B). [resolve(58,g,50,c)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | -member(V6,B) | -apply(F,f12(F,E,B),V6) | member(f15(F,E,B),B). [resolve(58,g,51,d)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | -member(V6,B) | -apply(F,f12(F,E,B),V6) | member(f14(F,E,B),B). [resolve(58,g,52,d)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | -member(V6,B) | -apply(F,f12(F,E,B),V6) | member(f13(F,E,B),E). [resolve(58,g,53,d)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | -member(V6,B) | -apply(F,f12(F,E,B),V6) | apply(F,f13(F,E,B),f14(F,E,B)). [resolve(58,g,54,d)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | -member(V6,B) | -apply(F,f12(F,E,B),V6) | apply(F,f13(F,E,B),f15(F,E,B)). [resolve(58,g,55,d)]. 0.06/0.52 Derived: -member(A,B) | -member(C,B) | -member(D,E) | -apply(F,D,C) | -apply(F,D,A) | A = C | -member(V6,B) | -apply(F,f12(F,E,B),V6) | f15(F,E,B) != f14(F,E,B). [resolve(58,g,56,d)]. 0.06/0.52 59 member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f15(A,B,D),D). [resolve(59,c,45,c)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f14(A,B,D),D). [resolve(59,c,46,c)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f13(A,B,D),B). [resolve(59,c,47,c)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(59,c,48,c)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(59,c,49,c)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | f15(A,B,D) != f14(A,B,D). [resolve(59,c,50,c)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f15(A,B,D),D). [resolve(59,c,51,d)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f14(A,B,D),D). [resolve(59,c,52,d)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f13(A,B,D),B). [resolve(59,c,53,d)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(59,c,54,d)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(59,c,55,d)]. 0.06/0.52 Derived: member(f22(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | f15(A,B,D) != f14(A,B,D). [resolve(59,c,56,d)]. 0.06/0.52 60 member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f15(A,B,D),D). [resolve(60,c,45,c)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f14(A,B,D),D). [resolve(60,c,46,c)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f13(A,B,D),B). [resolve(60,c,47,c)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(60,c,48,c)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(60,c,49,c)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | f15(A,B,D) != f14(A,B,D). [resolve(60,c,50,c)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f15(A,B,D),D). [resolve(60,c,51,d)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f14(A,B,D),D). [resolve(60,c,52,d)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f13(A,B,D),B). [resolve(60,c,53,d)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(60,c,54,d)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(60,c,55,d)]. 0.06/0.52 Derived: member(f23(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | f15(A,B,D) != f14(A,B,D). [resolve(60,c,56,d)]. 0.06/0.52 61 member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f15(A,B,D),D). [resolve(61,c,45,c)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f14(A,B,D),D). [resolve(61,c,46,c)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f13(A,B,D),B). [resolve(61,c,47,c)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(61,c,48,c)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(61,c,49,c)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | f15(A,B,D) != f14(A,B,D). [resolve(61,c,50,c)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f15(A,B,D),D). [resolve(61,c,51,d)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f14(A,B,D),D). [resolve(61,c,52,d)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f13(A,B,D),B). [resolve(61,c,53,d)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(61,c,54,d)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(61,c,55,d)]. 0.06/0.52 Derived: member(f24(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | f15(A,B,D) != f14(A,B,D). [resolve(61,c,56,d)]. 0.06/0.52 62 member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f15(A,B,D),D). [resolve(62,c,45,c)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f14(A,B,D),D). [resolve(62,c,46,c)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f13(A,B,D),B). [resolve(62,c,47,c)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(62,c,48,c)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(62,c,49,c)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | f15(A,B,D) != f14(A,B,D). [resolve(62,c,50,c)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f15(A,B,D),D). [resolve(62,c,51,d)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f14(A,B,D),D). [resolve(62,c,52,d)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f13(A,B,D),B). [resolve(62,c,53,d)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(62,c,54,d)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(62,c,55,d)]. 0.06/0.52 Derived: member(f25(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | f15(A,B,D) != f14(A,B,D). [resolve(62,c,56,d)]. 0.06/0.52 63 apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f15(A,B,D),D). [resolve(63,c,45,c)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f14(A,B,D),D). [resolve(63,c,46,c)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f13(A,B,D),B). [resolve(63,c,47,c)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(63,c,48,c)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(63,c,49,c)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | f15(A,B,D) != f14(A,B,D). [resolve(63,c,50,c)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f15(A,B,D),D). [resolve(63,c,51,d)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f14(A,B,D),D). [resolve(63,c,52,d)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f13(A,B,D),B). [resolve(63,c,53,d)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(63,c,54,d)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(63,c,55,d)]. 0.06/0.52 Derived: apply(A,f24(A,B,C,D,E),f25(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | f15(A,B,D) != f14(A,B,D). [resolve(63,c,56,d)]. 0.06/0.52 64 apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | -maps(A,B,D) | isomorphism(A,B,C,D,E) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f15(A,B,D),D). [resolve(64,c,45,c)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f14(A,B,D),D). [resolve(64,c,46,c)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | member(f13(A,B,D),B). [resolve(64,c,47,c)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(64,c,48,c)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(64,c,49,c)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f12(A,B,D),B) | f15(A,B,D) != f14(A,B,D). [resolve(64,c,50,c)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f15(A,B,D),D). [resolve(64,c,51,d)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f14(A,B,D),D). [resolve(64,c,52,d)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | member(f13(A,B,D),B). [resolve(64,c,53,d)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f14(A,B,D)). [resolve(64,c,54,d)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | apply(A,f13(A,B,D),f15(A,B,D)). [resolve(64,c,55,d)]. 0.06/0.52 Derived: apply(A,f22(A,B,C,D,E),f23(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | -member(F,D) | -apply(A,f12(A,B,D),F) | f15(A,B,D) != f14(A,B,D). [resolve(64,c,56,d)]. 0.06/0.52 65 apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | -maps(B,C,E) | isomorphism(B,C,D,E,A) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | member(f15(B,C,E),E). [resolve(65,d,45,c)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | member(f14(B,C,E),E). [resolve(65,d,46,c)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | member(f13(B,C,E),C). [resolve(65,d,47,c)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | apply(B,f13(B,C,E),f14(B,C,E)). [resolve(65,d,48,c)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | apply(B,f13(B,C,E),f15(B,C,E)). [resolve(65,d,49,c)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | f15(B,C,E) != f14(B,C,E). [resolve(65,d,50,c)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | member(f15(B,C,E),E). [resolve(65,d,51,d)]. 0.06/0.52 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | member(f14(B,C,E),E). [resolve(65,d,52,d)]. 0.06/0.53 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | member(f13(B,C,E),C). [resolve(65,d,53,d)]. 0.06/0.53 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | apply(B,f13(B,C,E),f14(B,C,E)). [resolve(65,d,54,d)]. 0.06/0.53 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | apply(B,f13(B,C,E),f15(B,C,E)). [resolve(65,d,55,d)]. 0.06/0.53 Derived: apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | f15(B,C,E) != f14(B,C,E). [resolve(65,d,56,d)]. 0.06/0.53 66 -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | -maps(B,C,E) | isomorphism(B,C,D,E,A) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | member(f15(B,C,E),E). [resolve(66,d,45,c)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | member(f14(B,C,E),E). [resolve(66,d,46,c)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | member(f13(B,C,E),C). [resolve(66,d,47,c)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | apply(B,f13(B,C,E),f14(B,C,E)). [resolve(66,d,48,c)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | apply(B,f13(B,C,E),f15(B,C,E)). [resolve(66,d,49,c)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | member(f12(B,C,E),C) | f15(B,C,E) != f14(B,C,E). [resolve(66,d,50,c)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | member(f15(B,C,E),E). [resolve(66,d,51,d)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | member(f14(B,C,E),E). [resolve(66,d,52,d)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | member(f13(B,C,E),C). [resolve(66,d,53,d)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | apply(B,f13(B,C,E),f14(B,C,E)). [resolve(66,d,54,d)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | apply(B,f13(B,C,E),f15(B,C,E)). [resolve(66,d,55,d)]. 0.06/0.53 Derived: -apply(A,f23(B,C,D,E,A),f25(B,C,D,E,A)) | -apply(D,f22(B,C,D,E,A),f24(B,C,D,E,A)) | -one_to_one(B,C,E) | isomorphism(B,C,D,E,A) | -member(F,E) | -apply(B,f12(B,C,E),F) | f15(B,C,E) != f14(B,C,E). [resolve(66,d,56,d)]. 0.06/0.53 67 maps(A,B,C) | -isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(20)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f16(A,B,D,F),D). [resolve(67,a,44,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f16(A,B,D,F)). [resolve(67,a,57,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | -member(F,D) | -member(V6,D) | -member(V7,B) | -apply(A,V7,V6) | -apply(A,V7,F) | F = V6. [resolve(67,a,58,g)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | member(f22(A,B,F,D,V6),B) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(67,a,59,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | member(f23(A,B,F,D,V6),D) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(67,a,60,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | member(f24(A,B,F,D,V6),B) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(67,a,61,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | member(f25(A,B,F,D,V6),D) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(67,a,62,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | apply(A,f24(A,B,F,D,V6),f25(A,B,F,D,V6)) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(67,a,63,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | apply(A,f22(A,B,F,D,V6),f23(A,B,F,D,V6)) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6). [resolve(67,a,64,c)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | apply(F,f23(A,B,V6,D,F),f25(A,B,V6,D,F)) | apply(V6,f22(A,B,V6,D,F),f24(A,B,V6,D,F)) | -one_to_one(A,B,D) | isomorphism(A,B,V6,D,F). [resolve(67,a,65,d)]. 0.06/0.53 Derived: -isomorphism(A,B,C,D,E) | -apply(F,f23(A,B,V6,D,F),f25(A,B,V6,D,F)) | -apply(V6,f22(A,B,V6,D,F),f24(A,B,V6,D,F)) | -one_to_one(A,B,D) | isomorphism(A,B,V6,D,F). [resolve(67,a,66,d)]. 0.06/0.53 68 maps(c1,c2,c3) # label(thII41) # label(negated_conjecture). [clausify(29)]. 0.06/0.53 Derived: -member(A,c2) | member(f16(c1,c2,c3,A),c3). [resolve(68,a,44,c)]. 0.06/0.53 Derived: -member(A,c2) | apply(c1,A,f16(c1,c2,c3,A)). [resolve(68,a,57,c)]. 0.06/0.53 Derived: -member(A,c3) | -member(B,c3) | -member(C,c2) | -apply(c1,C,B) | -apply(c1,C,A) | A = B. [resolve(68,a,58,g)]. 0.06/0.53 Derived: member(f22(c1,c2,A,c3,B),c2) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,A,c3,B). [resolve(68,a,59,c)]. 0.06/0.53 Derived: member(f23(c1,c2,A,c3,B),c3) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,A,c3,B). [resolve(68,a,60,c)]. 0.06/0.53 Derived: member(f24(c1,c2,A,c3,B),c2) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,A,c3,B). [resolve(68,a,61,c)]. 0.06/0.53 Derived: member(f25(c1,c2,A,c3,B),c3) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,A,c3,B). [resolve(68,a,62,c)]. 0.06/0.53 Derived: apply(c1,f24(c1,c2,A,c3,B),f25(c1,c2,A,c3,B)) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,A,c3,B). [resolve(68,a,63,c)]. 0.06/0.53 Derived: apply(c1,f22(c1,c2,A,c3,B),f23(c1,c2,A,c3,B)) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,A,c3,B). [resolve(68,a,64,c)]. 0.06/0.53 Derived: apply(A,f23(c1,c2,B,c3,A),f25(c1,c2,B,c3,A)) | apply(B,f22(c1,c2,B,c3,A),f24(c1,c2,B,c3,A)) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,B,c3,A). [resolve(68,a,65,d)]. 0.06/0.53 Derived: -apply(A,f23(c1,c2,B,c3,A),f25(c1,c2,B,c3,A)) | -apply(B,f22(c1,c2,B,c3,A),f24(c1,c2,B,c3,A)) | -one_to_one(c1,c2,c3) | isomorphism(c1,c2,B,c3,A). [resolve(68,a,66,d)]. 0.06/0.53 69 injective(A,B,C) | member(f17(A,B,C),B) # label(injective) # label(axiom). [clausify(17)]. 0.06/0.53 70 -injective(A,B,C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D # label(injective) # label(axiom). [clausify(17)]. 0.06/0.53 Derived: member(f17(A,B,C),B) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D. [resolve(69,a,70,a)]. 0.06/0.53 71 injective(A,B,C) | member(f18(A,B,C),B) # label(injective) # label(axiom). [clausify(17)]. 0.06/0.53 Derived: member(f18(A,B,C),B) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D. [resolve(71,a,70,a)]. 0.06/0.53 72 injective(A,B,C) | member(f19(A,B,C),C) # label(injective) # label(axiom). [clausify(17)]. 0.06/0.53 Derived: member(f19(A,B,C),C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D. [resolve(72,a,70,a)]. 0.06/0.53 73 injective(A,B,C) | apply(A,f18(A,B,C),f19(A,B,C)) # label(injective) # label(axiom). [clausify(17)]. 0.06/0.53 Derived: apply(A,f18(A,B,C),f19(A,B,C)) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D. [resolve(73,a,70,a)]. 0.06/0.53 74 injective(A,B,C) | apply(A,f17(A,B,C),f19(A,B,C)) # label(injective) # label(axiom). [clausify(17)]. 0.06/0.53 Derived: apply(A,f17(A,B,C),f19(A,B,C)) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D. [resolve(74,a,70,a)]. 0.06/0.55 75 injective(A,B,C) | f18(A,B,C) != f17(A,B,C) # label(injective) # label(axiom). [clausify(17)]. 0.06/0.55 Derived: f18(A,B,C) != f17(A,B,C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D. [resolve(75,a,70,a)]. 0.06/0.55 76 -injective(A,B,C) | -surjective(A,B,C) | one_to_one(A,B,C) # label(one_to_one) # label(axiom). [clausify(26)]. 0.06/0.55 Derived: -surjective(A,B,C) | one_to_one(A,B,C) | member(f17(A,B,C),B). [resolve(76,a,69,a)]. 0.06/0.55 Derived: -surjective(A,B,C) | one_to_one(A,B,C) | member(f18(A,B,C),B). [resolve(76,a,71,a)]. 0.06/0.55 Derived: -surjective(A,B,C) | one_to_one(A,B,C) | member(f19(A,B,C),C). [resolve(76,a,72,a)]. 0.06/0.55 Derived: -surjective(A,B,C) | one_to_one(A,B,C) | apply(A,f18(A,B,C),f19(A,B,C)). [resolve(76,a,73,a)]. 0.06/0.55 Derived: -surjective(A,B,C) | one_to_one(A,B,C) | apply(A,f17(A,B,C),f19(A,B,C)). [resolve(76,a,74,a)]. 0.06/0.55 Derived: -surjective(A,B,C) | one_to_one(A,B,C) | f18(A,B,C) != f17(A,B,C). [resolve(76,a,75,a)]. 0.06/0.55 77 injective(A,B,C) | -one_to_one(A,B,C) # label(one_to_one) # label(axiom). [clausify(26)]. 0.06/0.55 Derived: -one_to_one(A,B,C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,E,F) | -apply(A,D,F) | E = D. [resolve(77,a,70,a)]. 0.06/0.55 78 identity(A,B) | member(f21(A,B),B) # label(identity) # label(axiom). [clausify(19)]. 0.06/0.55 79 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(19)]. 0.06/0.55 Derived: member(f21(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(78,a,79,a)]. 0.06/0.55 80 identity(A,B) | -apply(A,f21(A,B),f21(A,B)) # label(identity) # label(axiom). [clausify(19)]. 0.06/0.55 Derived: -apply(A,f21(A,B),f21(A,B)) | -member(C,B) | apply(A,C,C). [resolve(80,a,79,a)]. 0.06/0.55 81 -member(A,B) | member(f29(C,D,B,A),D) | -surjective(C,D,B) # label(surjective) # label(axiom). [clausify(23)]. 0.06/0.55 82 member(f28(A,B,C),C) | surjective(A,B,C) # label(surjective) # label(axiom). [clausify(23)]. 0.06/0.55 83 -member(A,B) | -apply(C,A,f28(C,B,D)) | surjective(C,B,D) # label(surjective) # label(axiom). [clausify(23)]. 0.06/0.55 Derived: -member(A,B) | member(f29(C,D,B,A),D) | member(f28(C,D,B),B). [resolve(81,c,82,b)]. 0.06/0.55 Derived: -member(A,B) | member(f29(C,D,B,A),D) | -member(E,D) | -apply(C,E,f28(C,D,B)). [resolve(81,c,83,c)]. 0.06/0.55 84 -member(A,B) | apply(C,f29(C,D,B,A),A) | -surjective(C,D,B) # label(surjective) # label(axiom). [clausify(23)]. 0.06/0.55 Derived: -member(A,B) | apply(C,f29(C,D,B,A),A) | member(f28(C,D,B),B). [resolve(84,c,82,b)]. 0.06/0.55 Derived: -member(A,B) | apply(C,f29(C,D,B,A),A) | -member(E,D) | -apply(C,E,f28(C,D,B)). [resolve(84,c,83,c)]. 0.06/0.55 85 surjective(A,B,C) | -one_to_one(A,B,C) # label(one_to_one) # label(axiom). [clausify(26)]. 0.06/0.55 Derived: -one_to_one(A,B,C) | -member(D,C) | member(f29(A,B,C,D),B). [resolve(85,a,81,c)]. 0.06/0.55 Derived: -one_to_one(A,B,C) | -member(D,C) | apply(A,f29(A,B,C,D),D). [resolve(85,a,84,c)]. 0.06/0.55 86 -surjective(A,B,C) | one_to_one(A,B,C) | member(f17(A,B,C),B). [resolve(76,a,69,a)]. 0.06/0.55 Derived: one_to_one(A,B,C) | member(f17(A,B,C),B) | member(f28(A,B,C),C). [resolve(86,a,82,b)]. 0.06/0.55 Derived: one_to_one(A,B,C) | member(f17(A,B,C),B) | -member(D,B) | -apply(A,D,f28(A,B,C)). [resolve(86,a,83,c)]. 0.06/0.55 87 -surjective(A,B,C) | one_to_one(A,B,C) | member(f18(A,B,C),B). [resolve(76,a,71,a)]. 0.06/0.55 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | member(f28(A,B,C),C). [resolve(87,a,82,b)]. 0.06/0.55 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | -member(D,B) | -apply(A,D,f28(A,B,C)). [resolve(87,a,83,c)]. 0.06/0.55 88 -surjective(A,B,C) | one_to_one(A,B,C) | member(f19(A,B,C),C). [resolve(76,a,72,a)]. 0.06/0.55 Derived: one_to_one(A,B,C) | member(f19(A,B,C),C) | member(f28(A,B,C),C). [resolve(88,a,82,b)]. 0.06/0.55 Derived: one_to_one(A,B,C) | member(f19(A,B,C),C) | -member(D,B) | -apply(A,D,f28(A,B,C)). [resolve(88,a,83,c)]. 0.06/0.55 89 -surjective(A,B,C) | one_to_one(A,B,C) | apply(A,f18(A,B,C),f19(A,B,C)). [resolve(76,a,73,a)]. 0.06/0.55 Derived: one_to_one(A,B,C) | apply(A,f18(A,B,C),f19(A,B,C)) | member(f28(A,B,C),C). [resolve(89,a,82,b)]. 0.06/0.55 Derived: one_to_one(A,B,C) | apply(A,f18(A,B,C),f19(A,B,C)) | -member(D,B) | -apply(A,D,f28(A,B,C)). [resolve(89,a,83,c)]. 0.33/0.56 90 -surjective(A,B,C) | one_to_one(A,B,C) | apply(A,f17(A,B,C),f19(A,B,C)). [resolve(76,a,74,a)]. 0.33/0.56 Derived: one_to_one(A,B,C) | apply(A,f17(A,B,C),f19(A,B,C)) | member(f28(A,B,C),C). [resolve(90,a,82,b)]. 0.33/0.56 Derived: one_to_one(A,B,C) | apply(A,f17(A,B,C),f19(A,B,C)) | -member(D,B) | -apply(A,D,f28(A,B,C)). [resolve(90,a,83,c)]. 0.33/0.56 91 -surjective(A,B,C) | one_to_one(A,B,C) | f18(A,B,C) != f17(A,B,C). [resolve(76,a,75,a)]. 0.33/0.56 Derived: one_to_one(A,B,C) | f18(A,B,C) != f17(A,B,C) | member(f28(A,B,C),C). [resolve(91,a,82,b)]. 0.33/0.56 Derived: one_to_one(A,B,C) | f18(A,B,C) != f17(A,B,C) | -member(D,B) | -apply(A,D,f28(A,B,C)). [resolve(91,a,83,c)]. 0.33/0.56 92 -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | -equal_maps(V6,F,B,D) # label(equal_maps) # label(axiom). [clausify(24)]. 0.33/0.56 93 member(f30(A,B,C,D),C) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(24)]. 0.33/0.56 94 member(f32(A,B,C,D),D) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(24)]. 0.33/0.56 95 member(f31(A,B,C,D),D) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(24)]. 0.33/0.56 96 apply(A,f30(B,A,C,D),f32(B,A,C,D)) | equal_maps(B,A,C,D) # label(equal_maps) # label(axiom). [clausify(24)]. 0.33/0.56 97 apply(A,f30(A,B,C,D),f31(A,B,C,D)) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(24)]. 0.33/0.56 98 f32(A,B,C,D) != f31(A,B,C,D) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(24)]. 0.33/0.56 Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | member(f30(V6,F,B,D),B). [resolve(92,g,93,b)]. 0.33/0.56 Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | member(f32(V6,F,B,D),D). [resolve(92,g,94,b)]. 0.33/0.56 Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | member(f31(V6,F,B,D),D). [resolve(92,g,95,b)]. 0.33/0.56 Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | apply(F,f30(V6,F,B,D),f32(V6,F,B,D)). [resolve(92,g,96,b)]. 0.33/0.56 Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | apply(V6,f30(V6,F,B,D),f31(V6,F,B,D)). [resolve(92,g,97,b)]. 0.33/0.56 Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | f32(V6,F,B,D) != f31(V6,F,B,D). [resolve(92,g,98,b)]. 0.33/0.56 99 compose_predicate(A,B,C,D,E,F) | member(f34(A,B,C,D,E,F),D) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 100 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7) | apply(A,V6,V7) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 101 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | member(f33(A,B,C,D,E,F,V6,V7),E) | -apply(A,V6,V7) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 102 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | apply(C,V6,f33(A,B,C,D,E,F,V6,V7)) | -apply(A,V6,V7) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 103 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | apply(B,f33(A,B,C,D,E,F,V6,V7),V7) | -apply(A,V6,V7) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 Derived: member(f34(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7) | apply(A,V6,V7). [resolve(99,a,100,a)]. 0.33/0.56 Derived: member(f34(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | member(f33(A,B,C,D,E,F,V6,V7),E) | -apply(A,V6,V7). [resolve(99,a,101,a)]. 0.33/0.56 Derived: member(f34(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | apply(C,V6,f33(A,B,C,D,E,F,V6,V7)) | -apply(A,V6,V7). [resolve(99,a,102,a)]. 0.33/0.56 Derived: member(f34(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | apply(B,f33(A,B,C,D,E,F,V6,V7),V7) | -apply(A,V6,V7). [resolve(99,a,103,a)]. 0.33/0.56 104 compose_predicate(A,B,C,D,E,F) | member(f35(A,B,C,D,E,F),F) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 Derived: member(f35(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7) | apply(A,V6,V7). [resolve(104,a,100,a)]. 0.33/0.56 Derived: member(f35(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | member(f33(A,B,C,D,E,F,V6,V7),E) | -apply(A,V6,V7). [resolve(104,a,101,a)]. 0.33/0.56 Derived: member(f35(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | apply(C,V6,f33(A,B,C,D,E,F,V6,V7)) | -apply(A,V6,V7). [resolve(104,a,102,a)]. 0.33/0.56 Derived: member(f35(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | apply(B,f33(A,B,C,D,E,F,V6,V7),V7) | -apply(A,V6,V7). [resolve(104,a,103,a)]. 0.33/0.56 105 compose_predicate(A,B,C,D,E,F) | member(f36(A,B,C,D,E,F),E) | apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 Derived: member(f36(A,B,C,D,E,F),E) | apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7) | apply(A,V6,V7). [resolve(105,a,100,a)]. 0.33/0.56 Derived: member(f36(A,B,C,D,E,F),E) | apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | member(f33(A,B,C,D,E,F,V6,V7),E) | -apply(A,V6,V7). [resolve(105,a,101,a)]. 0.33/0.56 Derived: member(f36(A,B,C,D,E,F),E) | apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(C,V6,f33(A,B,C,D,E,F,V6,V7)) | -apply(A,V6,V7). [resolve(105,a,102,a)]. 0.33/0.56 Derived: member(f36(A,B,C,D,E,F),E) | apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(B,f33(A,B,C,D,E,F,V6,V7),V7) | -apply(A,V6,V7). [resolve(105,a,103,a)]. 0.33/0.56 106 compose_predicate(A,B,C,D,E,F) | apply(C,f34(A,B,C,D,E,F),f36(A,B,C,D,E,F)) | apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 Derived: apply(A,f34(B,C,A,D,E,F),f36(B,C,A,D,E,F)) | apply(B,f34(B,C,A,D,E,F),f35(B,C,A,D,E,F)) | -member(V6,D) | -member(V7,F) | -member(V8,E) | -apply(A,V6,V8) | -apply(C,V8,V7) | apply(B,V6,V7). [resolve(106,a,100,a)]. 0.33/0.56 Derived: apply(A,f34(B,C,A,D,E,F),f36(B,C,A,D,E,F)) | apply(B,f34(B,C,A,D,E,F),f35(B,C,A,D,E,F)) | -member(V6,D) | -member(V7,F) | member(f33(B,C,A,D,E,F,V6,V7),E) | -apply(B,V6,V7). [resolve(106,a,101,a)]. 0.33/0.56 Derived: apply(A,f34(B,C,A,D,E,F),f36(B,C,A,D,E,F)) | apply(B,f34(B,C,A,D,E,F),f35(B,C,A,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(A,V6,f33(B,C,A,D,E,F,V6,V7)) | -apply(B,V6,V7). [resolve(106,a,102,a)]. 0.33/0.56 Derived: apply(A,f34(B,C,A,D,E,F),f36(B,C,A,D,E,F)) | apply(B,f34(B,C,A,D,E,F),f35(B,C,A,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(C,f33(B,C,A,D,E,F,V6,V7),V7) | -apply(B,V6,V7). [resolve(106,a,103,a)]. 0.33/0.56 107 compose_predicate(A,B,C,D,E,F) | apply(B,f36(A,B,C,D,E,F),f35(A,B,C,D,E,F)) | apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 Derived: apply(A,f36(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | apply(B,f34(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -member(V8,E) | -apply(C,V6,V8) | -apply(A,V8,V7) | apply(B,V6,V7). [resolve(107,a,100,a)]. 0.33/0.56 Derived: apply(A,f36(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | apply(B,f34(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | -member(V6,D) | -member(V7,F) | member(f33(B,A,C,D,E,F,V6,V7),E) | -apply(B,V6,V7). [resolve(107,a,101,a)]. 0.33/0.56 Derived: apply(A,f36(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | apply(B,f34(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(C,V6,f33(B,A,C,D,E,F,V6,V7)) | -apply(B,V6,V7). [resolve(107,a,102,a)]. 0.33/0.56 Derived: apply(A,f36(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | apply(B,f34(B,A,C,D,E,F),f35(B,A,C,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(A,f33(B,A,C,D,E,F,V6,V7),V7) | -apply(B,V6,V7). [resolve(107,a,103,a)]. 0.33/0.56 108 compose_predicate(A,B,C,D,E,F) | -member(V6,E) | -apply(C,f34(A,B,C,D,E,F),V6) | -apply(B,V6,f35(A,B,C,D,E,F)) | -apply(A,f34(A,B,C,D,E,F),f35(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(25)]. 0.33/0.56 Derived: -member(A,B) | -apply(C,f34(D,E,C,F,B,V6),A) | -apply(E,A,f35(D,E,C,F,B,V6)) | -apply(D,f34(D,E,C,F,B,V6),f35(D,E,C,F,B,V6)) | -member(V7,F) | -member(V8,V6) | -member(V9,B) | -apply(C,V7,V9) | -apply(E,V9,V8) | apply(D,V7,V8). [resolve(108,a,100,a)]. 0.33/0.56 Derived: -member(A,B) | -apply(C,f34(D,E,C,F,B,V6),A) | -apply(E,A,f35(D,E,C,F,B,V6)) | -apply(D,f34(D,E,C,F,B,V6),f35(D,E,C,F,B,V6)) | -member(V7,F) | -member(V8,V6) | member(f33(D,E,C,F,B,V6,V7,V8),B) | -apply(D,V7,V8). [resolve(108,a,101,a)]. 0.50/0.76 Derived: -member(A,B) | -apply(C,f34(D,E,C,F,B,V6),A) | -apply(E,A,f35(D,E,C,F,B,V6)) | -apply(D,f34(D,E,C,F,B,V6),f35(D,E,C,F,B,V6)) | -member(V7,F) | -member(V8,V6) | apply(C,V7,f33(D,E,C,F,B,V6,V7,V8)) | -apply(D,V7,V8). [resolve(108,a,102,a)]. 0.50/0.76 Derived: -member(A,B) | -apply(C,f34(D,E,C,F,B,V6),A) | -apply(E,A,f35(D,E,C,F,B,V6)) | -apply(D,f34(D,E,C,F,B,V6),f35(D,E,C,F,B,V6)) | -member(V7,F) | -member(V8,V6) | apply(E,f33(D,E,C,F,B,V6,V7,V8),V8) | -apply(D,V7,V8). [resolve(108,a,103,a)]. 0.50/0.76 109 decreasing(A,B,C,D,E) | member(f37(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 110 -decreasing(A,B,C,D,E) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(A,V7,V8) | -apply(A,F,V6) | -apply(C,F,V7) | apply(E,V8,V6) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: member(f37(A,B,C,D,E),B) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(A,V7,V8) | -apply(A,F,V6) | -apply(C,F,V7) | apply(E,V8,V6). [resolve(109,a,110,a)]. 0.50/0.76 111 decreasing(A,B,C,D,E) | member(f38(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: member(f38(A,B,C,D,E),D) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(A,V7,V8) | -apply(A,F,V6) | -apply(C,F,V7) | apply(E,V8,V6). [resolve(111,a,110,a)]. 0.50/0.76 112 decreasing(A,B,C,D,E) | member(f39(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: member(f39(A,B,C,D,E),B) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(A,V7,V8) | -apply(A,F,V6) | -apply(C,F,V7) | apply(E,V8,V6). [resolve(112,a,110,a)]. 0.50/0.76 113 decreasing(A,B,C,D,E) | member(f40(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: member(f40(A,B,C,D,E),D) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(A,V7,V8) | -apply(A,F,V6) | -apply(C,F,V7) | apply(E,V8,V6). [resolve(113,a,110,a)]. 0.50/0.76 114 decreasing(A,B,C,D,E) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(A,V7,V8) | -apply(A,F,V6) | -apply(C,F,V7) | apply(E,V8,V6). [resolve(114,a,110,a)]. 0.50/0.76 115 decreasing(A,B,C,D,E) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(A,V7,V8) | -apply(A,F,V6) | -apply(C,F,V7) | apply(E,V8,V6). [resolve(115,a,110,a)]. 0.50/0.76 116 decreasing(A,B,C,D,E) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: apply(A,f37(B,C,A,D,E),f39(B,C,A,D,E)) | -member(F,C) | -member(V6,D) | -member(V7,C) | -member(V8,D) | -apply(B,V7,V8) | -apply(B,F,V6) | -apply(A,F,V7) | apply(E,V8,V6). [resolve(116,a,110,a)]. 0.50/0.76 117 decreasing(A,B,C,D,E) | -apply(E,f40(A,B,C,D,E),f38(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(28)]. 0.50/0.76 Derived: -apply(A,f40(B,C,D,E,A),f38(B,C,D,E,A)) | -member(F,C) | -member(V6,E) | -member(V7,C) | -member(V8,E) | -apply(B,V7,V8) | -apply(B,F,V6) | -apply(D,F,V7) | apply(A,V8,V6). [resolve(117,a,110,a)]. 0.50/0.76 0.50/0.76 ============================== end predicate elimination ============= 0.50/0.76 0.50/0.76 Auto_denials: (non-Horn, no changes). 0.50/0.76 0.50/0.76 Term ordering decisions: 0.50/0.76 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. f21=1. power_set=1. product=1. sum=1. singleton=1. image3=1. inverse_image3=1. inverse_function=1. f11=1. f12=1. f13=1. f14=1. f15=1. f17=1. f18=1. f19=1. f26=1. f28=1. f4=1. f5=1. f16=1. f20=1. f27=1. f29=1. f30=1. f31=1. f32=1. compose_function=1. f6=1. f7=1. f8=1. f9=1. f22=1. f23=1. f24=1. f25=1. f37=1. f38=1. f39=1. f40=1. f34=1. f35=1. f36=1. f10=1. f33=1. 0.50/0.76 0.50/0.76 ============Cputime limit exceeded (core dumped) 300.08/300.32 EOF