0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.10/0.31 % Computer : n014.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.31 % CPULimit : 960 0.15/0.31 % WCLimit : 120 0.15/0.31 % DateTime : Tue Aug 9 07:05:01 EDT 2022 0.15/0.31 % CPUTime : 0.36/1.07 ============================== Prover9 =============================== 0.36/1.07 Prover9 (32) version 2009-11A, November 2009. 0.36/1.07 Process 29416 was started by sandbox2 on n014.cluster.edu, 0.36/1.07 Tue Aug 9 07:05:01 2022 0.36/1.07 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_29263_n014.cluster.edu". 0.36/1.07 ============================== end of head =========================== 0.36/1.07 0.36/1.07 ============================== INPUT ================================= 0.36/1.07 0.36/1.07 % Reading from file /tmp/Prover9_29263_n014.cluster.edu 0.36/1.07 0.36/1.07 set(prolog_style_variables). 0.36/1.07 set(auto2). 0.36/1.07 % set(auto2) -> set(auto). 0.36/1.07 % set(auto) -> set(auto_inference). 0.36/1.07 % set(auto) -> set(auto_setup). 0.36/1.07 % set(auto_setup) -> set(predicate_elim). 0.36/1.07 % set(auto_setup) -> assign(eq_defs, unfold). 0.36/1.07 % set(auto) -> set(auto_limits). 0.36/1.07 % set(auto_limits) -> assign(max_weight, "100.000"). 0.36/1.07 % set(auto_limits) -> assign(sos_limit, 20000). 0.36/1.07 % set(auto) -> set(auto_denials). 0.36/1.07 % set(auto) -> set(auto_process). 0.36/1.07 % set(auto2) -> assign(new_constants, 1). 0.36/1.07 % set(auto2) -> assign(fold_denial_max, 3). 0.36/1.07 % set(auto2) -> assign(max_weight, "200.000"). 0.36/1.07 % set(auto2) -> assign(max_hours, 1). 0.36/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.36/1.07 % set(auto2) -> assign(max_seconds, 0). 0.36/1.07 % set(auto2) -> assign(max_minutes, 5). 0.36/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.36/1.07 % set(auto2) -> set(sort_initial_sos). 0.36/1.07 % set(auto2) -> assign(sos_limit, -1). 0.36/1.07 % set(auto2) -> assign(lrs_ticks, 3000). 0.36/1.07 % set(auto2) -> assign(max_megs, 400). 0.36/1.07 % set(auto2) -> assign(stats, some). 0.36/1.07 % set(auto2) -> clear(echo_input). 0.36/1.07 % set(auto2) -> set(quiet). 0.36/1.07 % set(auto2) -> clear(print_initial_clauses). 0.36/1.07 % set(auto2) -> clear(print_given). 0.36/1.07 assign(lrs_ticks,-1). 0.36/1.07 assign(sos_limit,10000). 0.36/1.07 assign(order,kbo). 0.36/1.07 set(lex_order_vars). 0.36/1.07 clear(print_given). 0.36/1.07 0.36/1.07 % formulas(sos). % not echoed (29 formulas) 0.36/1.07 0.36/1.07 ============================== end of input ========================== 0.36/1.07 0.36/1.07 % From the command line: assign(max_seconds, 960). 0.36/1.07 0.36/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.36/1.07 0.36/1.07 % Formulas that are not ordinary clauses: 0.36/1.07 1 (all X all A ((all Y (member(Y,A) -> member(X,Y))) <-> member(X,product(A)))) # label(product) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 2 (all X all A (member(X,singleton(A)) <-> A = X)) # label(singleton) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 3 (all A all B (subset(A,B) & subset(B,A) <-> equal_set(A,B))) # label(equal_set) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 4 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = A | X = B)) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 5 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 6 (all X all A ((exists Y (member(Y,A) & member(X,Y))) <-> member(X,sum(A)))) # label(sum) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 7 (all X all A (subset(X,A) <-> member(X,power_set(A)))) # label(power_set) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 8 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 9 (all X all A all B (member(X,B) & member(X,A) <-> member(X,intersection(A,B)))) # label(intersection) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 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]. 0.36/1.07 11 (all B all A all E (-member(B,A) & member(B,E) <-> member(B,difference(E,A)))) # label(difference) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 12 (all F all G all A all B (equal_maps(F,G,A,B) <-> (all X all Y1 all Y2 (member(Y1,B) & member(Y2,B) & member(X,A) -> (apply(G,X,Y2) & apply(F,X,Y1) -> Y2 = Y1))))) # label(equal_maps) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 13 (all F all A all B (one_to_one(F,A,B) <-> surjective(F,A,B) & injective(F,A,B))) # label(one_to_one) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 14 (all H all G all F all A all B all C ((all X all Z (member(X,A) & member(Z,C) -> ((exists Y (apply(G,Y,Z) & apply(F,X,Y) & member(Y,B))) <-> apply(H,X,Z)))) <-> compose_predicate(H,G,F,A,B,C))) # label(compose_predicate) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 15 (all G all F all A all B all C all X all Z (member(X,A) & member(Z,C) -> (apply(compose_function(G,F,A,B,C),X,Z) <-> (exists Y (apply(F,X,Y) & apply(G,Y,Z) & member(Y,B)))))) # label(compose_function) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 16 (all F all A all Y (member(Y,image2(F,A)) <-> (exists X (apply(F,X,Y) & member(X,A))))) # label(image2) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 17 (all F all A all R all B all S (increasing(F,A,R,B,S) <-> (all X1 all Y1 all X2 all Y2 (apply(R,X1,X2) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(Y2,B) & member(X2,A) & member(Y1,B) & member(X1,A) -> apply(S,Y1,Y2))))) # label(increasing_function) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 18 (all F all A all B (maps(F,A,B) <-> (all X (member(X,A) -> (exists Y (member(Y,B) & apply(F,X,Y))))) & (all X all Y1 all Y2 (member(Y2,B) & member(Y1,B) & member(X,A) -> (apply(F,X,Y1) & apply(F,X,Y2) -> Y2 = Y1))))) # label(maps) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 19 (all F all B all A all X ((exists Y (apply(F,X,Y) & member(Y,B))) & member(X,A) <-> member(X,inverse_image3(F,B,A)))) # label(inverse_image3) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 20 (all F all A all B all X all Y (member(X,A) & member(Y,B) -> (apply(F,X,Y) <-> apply(inverse_function(F,A,B),Y,X)))) # label(inverse_function) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 21 (all F all A all B all Y (member(Y,image3(F,A,B)) <-> (exists X (member(X,A) & apply(F,X,Y))) & member(Y,B))) # label(image3) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 22 (all G all F all A all B ((all X all Y (member(X,A) & member(Y,B) -> (apply(F,X,Y) <-> apply(G,Y,X)))) <-> inverse_predicate(G,F,A,B))) # label(inverse_predicate) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 23 (all F all A all R all B all S (one_to_one(F,A,B) & (all X1 all Y1 all X2 all Y2 (member(X1,A) & member(X2,A) & member(Y2,B) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(Y1,B) -> (apply(S,Y1,Y2) <-> apply(R,X1,X2)))) & maps(F,A,B) <-> isomorphism(F,A,R,B,S))) # label(isomorphism) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 24 (all F all A (identity(F,A) <-> (all X (member(X,A) -> apply(F,X,X))))) # label(identity) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 25 (all F all A all B (surjective(F,A,B) <-> (all Y (member(Y,B) -> (exists E (apply(F,E,Y) & member(E,A))))))) # label(surjective) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 26 (all F all B all X ((exists Y (apply(F,X,Y) & member(Y,B))) <-> member(X,inverse_image2(F,B)))) # label(inverse_image2) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 27 (all F all A all R all B all S ((all X1 all Y1 all X2 all Y2 (member(Y1,B) & member(X2,A) & member(Y2,B) & apply(R,X1,X2) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(X1,A) -> apply(S,Y2,Y1))) <-> decreasing(F,A,R,B,S))) # label(decreasing_function) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 28 (all F all A all B ((all X1 all X2 all Y (member(X2,A) & member(Y,B) & member(X1,A) -> (apply(F,X2,Y) & apply(F,X1,Y) -> X1 = X2))) <-> injective(F,A,B))) # label(injective) # label(axiom) # label(non_clause). [assumption]. 0.36/1.07 29 -(all F all G all H all A all B all C (maps(F,A,B) & maps(G,B,C) & maps(H,C,A) & injective(compose_function(H,compose_function(G,F,A,B,C),A,C,A),A,A) & surjective(compose_function(F,compose_function(H,G,B,C,A),B,A,B),B,B) & surjective(compose_function(G,compose_function(F,H,C,A,B),C,B,C),C,C) -> one_to_one(F,A,B))) # label(thII30) # label(negated_conjecture) # label(non_clause). [assumption]. 0.36/1.07 0.36/1.07 ============================== end of process non-clausal formulas === 0.36/1.07 0.36/1.07 ============================== PROCESS INITIAL CLAUSES =============== 0.36/1.07 0.36/1.07 ============================== PREDICATE ELIMINATION ================= 0.36/1.07 30 subset(A,B) | -equal_set(A,B) # label(equal_set) # label(axiom). [clausify(3)]. 0.36/1.07 31 -subset(A,B) | -subset(B,A) | equal_set(A,B) # label(equal_set) # label(axiom). [clausify(3)]. 0.79/1.08 32 subset(A,B) | -equal_set(B,A) # label(equal_set) # label(axiom). [clausify(3)]. 0.79/1.08 33 subset(A,B) | -member(A,power_set(B)) # label(power_set) # label(axiom). [clausify(7)]. 0.79/1.08 34 -subset(A,B) | member(A,power_set(B)) # label(power_set) # label(axiom). [clausify(7)]. 0.79/1.08 35 -subset(A,B) | -member(C,A) | member(C,B) # label(subset) # label(axiom). [clausify(8)]. 0.79/1.08 Derived: -member(A,B) | member(A,C) | -member(B,power_set(C)). [resolve(35,a,33,a)]. 0.79/1.08 36 subset(A,B) | member(f3(A,B),A) # label(subset) # label(axiom). [clausify(8)]. 0.79/1.08 Derived: member(f3(A,B),A) | member(A,power_set(B)). [resolve(36,a,34,a)]. 0.79/1.08 Derived: member(f3(A,B),A) | -member(C,A) | member(C,B). [resolve(36,a,35,a)]. 0.79/1.08 37 subset(A,B) | -member(f3(A,B),B) # label(subset) # label(axiom). [clausify(8)]. 0.79/1.08 Derived: -member(f3(A,B),B) | member(A,power_set(B)). [resolve(37,a,34,a)]. 0.79/1.08 Derived: -member(f3(A,B),B) | -member(C,A) | member(C,B). [resolve(37,a,35,a)]. 0.79/1.08 38 equal_maps(A,B,C,D) | member(f5(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(12)]. 0.79/1.08 39 -equal_maps(A,B,C,D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E # label(equal_maps) # label(axiom). [clausify(12)]. 0.79/1.08 Derived: member(f5(A,B,C,D),D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(38,a,39,a)]. 0.79/1.08 40 equal_maps(A,B,C,D) | member(f6(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(12)]. 0.79/1.08 Derived: member(f6(A,B,C,D),D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(40,a,39,a)]. 0.79/1.08 41 equal_maps(A,B,C,D) | member(f4(A,B,C,D),C) # label(equal_maps) # label(axiom). [clausify(12)]. 0.79/1.08 Derived: member(f4(A,B,C,D),C) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(41,a,39,a)]. 0.79/1.08 42 equal_maps(A,B,C,D) | apply(B,f4(A,B,C,D),f6(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(12)]. 0.79/1.08 Derived: apply(A,f4(B,A,C,D),f6(B,A,C,D)) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(A,V6,F) | -apply(B,V6,E) | F = E. [resolve(42,a,39,a)]. 0.79/1.08 43 equal_maps(A,B,C,D) | apply(A,f4(A,B,C,D),f5(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(12)]. 0.79/1.08 Derived: apply(A,f4(A,B,C,D),f5(A,B,C,D)) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(43,a,39,a)]. 0.79/1.08 44 equal_maps(A,B,C,D) | f6(A,B,C,D) != f5(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(12)]. 0.79/1.08 Derived: f6(A,B,C,D) != f5(A,B,C,D) | -member(E,D) | -member(F,D) | -member(V6,C) | -apply(B,V6,F) | -apply(A,V6,E) | F = E. [resolve(44,a,39,a)]. 0.79/1.08 45 one_to_one(A,B,C) | -surjective(A,B,C) | -injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(13)]. 0.79/1.08 46 -one_to_one(A,B,C) | surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(13)]. 0.79/1.08 47 -surjective(A,B,C) | -member(D,C) | apply(A,f31(A,B,C,D),D) # label(surjective) # label(axiom). [clausify(25)]. 0.79/1.08 Derived: -member(A,B) | apply(C,f31(C,D,B,A),A) | -one_to_one(C,D,B). [resolve(47,a,46,b)]. 0.79/1.08 48 -surjective(A,B,C) | -member(D,C) | member(f31(A,B,C,D),B) # label(surjective) # label(axiom). [clausify(25)]. 0.79/1.08 Derived: -member(A,B) | member(f31(C,D,B,A),D) | -one_to_one(C,D,B). [resolve(48,a,46,b)]. 0.79/1.08 49 surjective(A,B,C) | member(f32(A,B,C),C) # label(surjective) # label(axiom). [clausify(25)]. 0.79/1.08 Derived: member(f32(A,B,C),C) | one_to_one(A,B,C) | -injective(A,B,C). [resolve(49,a,45,b)]. 0.79/1.08 Derived: member(f32(A,B,C),C) | -member(D,C) | apply(A,f31(A,B,C,D),D). [resolve(49,a,47,a)]. 0.79/1.08 Derived: member(f32(A,B,C),C) | -member(D,C) | member(f31(A,B,C,D),B). [resolve(49,a,48,a)]. 0.79/1.08 50 surjective(A,B,C) | -apply(A,D,f32(A,B,C)) | -member(D,B) # label(surjective) # label(axiom). [clausify(25)]. 0.79/1.08 Derived: -apply(A,B,f32(A,C,D)) | -member(B,C) | one_to_one(A,C,D) | -injective(A,C,D). [resolve(50,a,45,b)]. 0.79/1.08 Derived: -apply(A,B,f32(A,C,D)) | -member(B,C) | -member(E,D) | apply(A,f31(A,C,D,E),E). [resolve(50,a,47,a)]. 0.79/1.08 Derived: -apply(A,B,f32(A,C,D)) | -member(B,C) | -member(E,D) | member(f31(A,C,D,E),C). [resolve(50,a,48,a)]. 0.79/1.08 51 surjective(compose_function(c1,compose_function(c3,c2,c5,c6,c4),c5,c4,c5),c5,c5) # label(thII30) # label(negated_conjecture). [clausify(29)]. 0.79/1.08 Derived: one_to_one(compose_function(c1,compose_function(c3,c2,c5,c6,c4),c5,c4,c5),c5,c5) | -injective(compose_function(c1,compose_function(c3,c2,c5,c6,c4),c5,c4,c5),c5,c5). [resolve(51,a,45,b)]. 0.79/1.08 Derived: -member(A,c5) | apply(compose_function(c1,compose_function(c3,c2,c5,c6,c4),c5,c4,c5),f31(compose_function(c1,compose_function(c3,c2,c5,c6,c4),c5,c4,c5),c5,c5,A),A). [resolve(51,a,47,a)]. 0.79/1.08 Derived: -member(A,c5) | member(f31(compose_function(c1,compose_function(c3,c2,c5,c6,c4),c5,c4,c5),c5,c5,A),c5). [resolve(51,a,48,a)]. 0.79/1.08 52 surjective(compose_function(c2,compose_function(c1,c3,c6,c4,c5),c6,c5,c6),c6,c6) # label(thII30) # label(negated_conjecture). [clausify(29)]. 0.79/1.08 Derived: one_to_one(compose_function(c2,compose_function(c1,c3,c6,c4,c5),c6,c5,c6),c6,c6) | -injective(compose_function(c2,compose_function(c1,c3,c6,c4,c5),c6,c5,c6),c6,c6). [resolve(52,a,45,b)]. 0.79/1.08 Derived: -member(A,c6) | apply(compose_function(c2,compose_function(c1,c3,c6,c4,c5),c6,c5,c6),f31(compose_function(c2,compose_function(c1,c3,c6,c4,c5),c6,c5,c6),c6,c6,A),A). [resolve(52,a,47,a)]. 0.79/1.08 Derived: -member(A,c6) | member(f31(compose_function(c2,compose_function(c1,c3,c6,c4,c5),c6,c5,c6),c6,c6,A),c6). [resolve(52,a,48,a)]. 0.79/1.08 53 -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | -compose_predicate(V8,E,V6,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 54 member(f7(A,B,C,D,E,F),D) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 55 member(f8(A,B,C,D,E,F),F) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 56 apply(A,f9(B,A,C,D,E,F),f8(B,A,C,D,E,F)) | apply(B,f7(B,A,C,D,E,F),f8(B,A,C,D,E,F)) | compose_predicate(B,A,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 57 apply(A,f7(B,C,A,D,E,F),f9(B,C,A,D,E,F)) | apply(B,f7(B,C,A,D,E,F),f8(B,C,A,D,E,F)) | compose_predicate(B,C,A,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 58 member(f9(A,B,C,D,E,F),E) | apply(A,f7(A,B,C,D,E,F),f8(A,B,C,D,E,F)) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 59 -apply(A,B,f8(C,A,D,E,F,V6)) | -apply(D,f7(C,A,D,E,F,V6),B) | -member(B,F) | -apply(C,f7(C,A,D,E,F,V6),f8(C,A,D,E,F,V6)) | compose_predicate(C,A,D,E,F,V6) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | member(f7(V8,E,V6,B,V7,D),B). [resolve(53,g,54,b)]. 0.79/1.08 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | member(f8(V8,E,V6,B,V7,D),D). [resolve(53,g,55,b)]. 0.79/1.08 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | apply(E,f9(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)) | apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(53,g,56,c)]. 0.79/1.08 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | apply(V6,f7(V8,E,V6,B,V7,D),f9(V8,E,V6,B,V7,D)) | apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(53,g,57,c)]. 0.79/1.08 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | member(f9(V8,E,V6,B,V7,D),V7) | apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(53,g,58,c)]. 0.79/1.08 Derived: -member(A,B) | -member(C,D) | -apply(E,F,C) | -apply(V6,A,F) | -member(F,V7) | apply(V8,A,C) | -apply(E,V9,f8(V8,E,V6,B,V7,D)) | -apply(V6,f7(V8,E,V6,B,V7,D),V9) | -member(V9,V7) | -apply(V8,f7(V8,E,V6,B,V7,D),f8(V8,E,V6,B,V7,D)). [resolve(53,g,59,e)]. 0.79/1.08 60 -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | -compose_predicate(F,E,V6,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.08 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | member(f7(F,E,V6,B,V7,D),B). [resolve(60,e,54,b)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | member(f8(F,E,V6,B,V7,D),D). [resolve(60,e,55,b)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | apply(E,f9(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)) | apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(60,e,56,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | apply(V6,f7(F,E,V6,B,V7,D),f9(F,E,V6,B,V7,D)) | apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(60,e,57,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | member(f9(F,E,V6,B,V7,D),V7) | apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(60,e,58,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,f10(F,E,V6,B,V7,D,A,C),C) | -apply(F,A,C) | -apply(E,V8,f8(F,E,V6,B,V7,D)) | -apply(V6,f7(F,E,V6,B,V7,D),V8) | -member(V8,V7) | -apply(F,f7(F,E,V6,B,V7,D),f8(F,E,V6,B,V7,D)). [resolve(60,e,59,e)]. 0.79/1.09 61 -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | -compose_predicate(F,V6,E,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | member(f7(F,V6,E,B,V7,D),B). [resolve(61,e,54,b)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | member(f8(F,V6,E,B,V7,D),D). [resolve(61,e,55,b)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | apply(V6,f9(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)) | apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(61,e,56,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | apply(E,f7(F,V6,E,B,V7,D),f9(F,V6,E,B,V7,D)) | apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(61,e,57,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | member(f9(F,V6,E,B,V7,D),V7) | apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(61,e,58,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | apply(E,A,f10(F,V6,E,B,V7,D,A,C)) | -apply(F,A,C) | -apply(V6,V8,f8(F,V6,E,B,V7,D)) | -apply(E,f7(F,V6,E,B,V7,D),V8) | -member(V8,V7) | -apply(F,f7(F,V6,E,B,V7,D),f8(F,V6,E,B,V7,D)). [resolve(61,e,59,e)]. 0.79/1.09 62 -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | -compose_predicate(E,F,V6,B,V7,D) # label(compose_predicate) # label(axiom). [clausify(14)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | member(f7(E,F,V6,B,V7,D),B). [resolve(62,e,54,b)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | member(f8(E,F,V6,B,V7,D),D). [resolve(62,e,55,b)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | apply(F,f9(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)) | apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(62,e,56,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | apply(V6,f7(E,F,V6,B,V7,D),f9(E,F,V6,B,V7,D)) | apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(62,e,57,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | member(f9(E,F,V6,B,V7,D),V7) | apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(62,e,58,c)]. 0.79/1.09 Derived: -member(A,B) | -member(C,D) | member(f10(E,F,V6,B,V7,D,A,C),V7) | -apply(E,A,C) | -apply(F,V8,f8(E,F,V6,B,V7,D)) | -apply(V6,f7(E,F,V6,B,V7,D),V8) | -member(V8,V7) | -apply(E,f7(E,F,V6,B,V7,D),f8(E,F,V6,B,V7,D)). [resolve(62,e,59,e)]. 0.79/1.09 63 increasing(A,B,C,D,E) | apply(C,f13(A,B,C,D,E),f15(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 64 -increasing(A,B,C,D,E) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: apply(A,f13(B,C,A,D,E),f15(B,C,A,D,E)) | -apply(A,F,V6) | -apply(B,F,V7) | -apply(B,V6,V8) | -member(V8,D) | -member(V6,C) | -member(V7,D) | -member(F,C) | apply(E,V7,V8). [resolve(63,a,64,a)]. 0.79/1.09 65 increasing(A,B,C,D,E) | apply(A,f13(A,B,C,D,E),f14(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: apply(A,f13(A,B,C,D,E),f14(A,B,C,D,E)) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(65,a,64,a)]. 0.79/1.09 66 increasing(A,B,C,D,E) | apply(A,f15(A,B,C,D,E),f16(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: apply(A,f15(A,B,C,D,E),f16(A,B,C,D,E)) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(66,a,64,a)]. 0.79/1.09 67 increasing(A,B,C,D,E) | member(f16(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: member(f16(A,B,C,D,E),D) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(67,a,64,a)]. 0.79/1.09 68 increasing(A,B,C,D,E) | member(f15(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: member(f15(A,B,C,D,E),B) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(68,a,64,a)]. 0.79/1.09 69 increasing(A,B,C,D,E) | member(f14(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: member(f14(A,B,C,D,E),D) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(69,a,64,a)]. 0.79/1.09 70 increasing(A,B,C,D,E) | member(f13(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: member(f13(A,B,C,D,E),B) | -apply(C,F,V6) | -apply(A,F,V7) | -apply(A,V6,V8) | -member(V8,D) | -member(V6,B) | -member(V7,D) | -member(F,B) | apply(E,V7,V8). [resolve(70,a,64,a)]. 0.79/1.09 71 increasing(A,B,C,D,E) | -apply(E,f14(A,B,C,D,E),f16(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(17)]. 0.79/1.09 Derived: -apply(A,f14(B,C,D,E,A),f16(B,C,D,E,A)) | -apply(D,F,V6) | -apply(B,F,V7) | -apply(B,V6,V8) | -member(V8,E) | -member(V6,C) | -member(V7,E) | -member(F,C) | apply(A,V7,V8). [resolve(71,a,64,a)]. 0.79/1.09 72 maps(A,B,C) | member(f18(A,B,C),B) | member(f21(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.09 73 -maps(A,B,C) | -member(D,B) | member(f17(A,B,C,D),C) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.09 74 -maps(A,B,C) | -member(D,B) | apply(A,D,f17(A,B,C,D)) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.09 75 -maps(A,B,C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E # label(maps) # label(axiom). [clausify(18)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f21(A,B,C),C) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(72,a,73,a)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f21(A,B,C),C) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(72,a,74,a)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f21(A,B,C),C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(72,a,75,a)]. 0.79/1.09 76 maps(A,B,C) | member(f18(A,B,C),B) | member(f20(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f20(A,B,C),C) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(76,a,73,a)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f20(A,B,C),C) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(76,a,74,a)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f20(A,B,C),C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(76,a,75,a)]. 0.79/1.09 77 maps(A,B,C) | member(f18(A,B,C),B) | member(f19(A,B,C),B) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f19(A,B,C),B) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(77,a,73,a)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f19(A,B,C),B) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(77,a,74,a)]. 0.79/1.09 Derived: member(f18(A,B,C),B) | member(f19(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(77,a,75,a)]. 0.79/1.10 78 maps(A,B,C) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(78,a,73,a)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(78,a,74,a)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(78,a,75,a)]. 0.79/1.10 79 maps(A,B,C) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(79,a,73,a)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(79,a,74,a)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(79,a,75,a)]. 0.79/1.10 80 maps(A,B,C) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) | -member(D,B) | member(f17(A,B,C,D),C). [resolve(80,a,73,a)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) | -member(D,B) | apply(A,D,f17(A,B,C,D)). [resolve(80,a,74,a)]. 0.79/1.10 Derived: member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E. [resolve(80,a,75,a)]. 0.79/1.10 81 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | member(f21(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f21(C,D,B),B) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(81,a,73,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f21(C,D,B),B) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(81,a,74,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f21(C,D,B),B) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(81,a,75,a)]. 0.79/1.10 82 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | member(f20(A,B,C),C) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f20(C,D,B),B) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(82,a,73,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f20(C,D,B),B) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(82,a,74,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f20(C,D,B),B) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(82,a,75,a)]. 0.79/1.10 83 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | member(f19(A,B,C),B) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f19(C,D,B),D) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(83,a,73,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f19(C,D,B),D) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(83,a,74,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | member(f19(C,D,B),D) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(83,a,75,a)]. 0.79/1.10 84 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | apply(A,f19(A,B,C),f20(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f20(C,D,B)) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(84,a,73,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f20(C,D,B)) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(84,a,74,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f20(C,D,B)) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(84,a,75,a)]. 0.79/1.10 85 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | apply(A,f19(A,B,C),f21(A,B,C)) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f21(C,D,B)) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(85,a,73,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f21(C,D,B)) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(85,a,74,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | apply(C,f19(C,D,B),f21(C,D,B)) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(85,a,75,a)]. 0.79/1.10 86 maps(A,B,C) | -member(D,C) | -apply(A,f18(A,B,C),D) | f21(A,B,C) != f20(A,B,C) # label(maps) # label(axiom). [clausify(18)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | f21(C,D,B) != f20(C,D,B) | -member(E,D) | member(f17(C,D,B,E),B). [resolve(86,a,73,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | f21(C,D,B) != f20(C,D,B) | -member(E,D) | apply(C,E,f17(C,D,B,E)). [resolve(86,a,74,a)]. 0.79/1.10 Derived: -member(A,B) | -apply(C,f18(C,D,B),A) | f21(C,D,B) != f20(C,D,B) | -member(E,B) | -member(F,B) | -member(V6,D) | -apply(C,V6,F) | -apply(C,V6,E) | E = F. [resolve(86,a,75,a)]. 0.79/1.10 87 -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(87,c,72,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(87,c,76,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(87,c,77,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(87,c,78,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(87,c,79,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(87,c,80,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(87,c,81,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(87,c,82,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(87,c,83,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(87,c,84,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(87,c,85,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f26(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(87,c,86,a)]. 0.79/1.10 88 -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(88,c,72,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(88,c,76,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(88,c,77,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(88,c,78,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(88,c,79,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(88,c,80,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(88,c,81,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(88,c,82,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(88,c,83,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(88,c,84,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(88,c,85,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f28(A,B,D,C,E),B) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(88,c,86,a)]. 0.79/1.10 89 -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(89,c,72,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(89,c,76,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(89,c,77,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(89,c,78,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(89,c,79,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(89,c,80,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(89,c,81,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(89,c,82,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(89,c,83,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(89,c,84,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(89,c,85,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f29(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(89,c,86,a)]. 0.79/1.10 90 -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(90,c,72,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(90,c,76,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(90,c,77,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(90,c,78,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(90,c,79,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(90,c,80,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(90,c,81,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(90,c,82,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(90,c,83,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(90,c,84,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(90,c,85,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f26(A,B,D,C,E),f27(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(90,c,86,a)]. 0.79/1.10 91 -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(91,c,72,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(91,c,76,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(91,c,77,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(91,c,78,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(91,c,79,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(91,c,80,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(91,c,81,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(91,c,82,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(91,c,83,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(91,c,84,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(91,c,85,a)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | apply(A,f28(A,B,D,C,E),f29(A,B,D,C,E)) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(91,c,86,a)]. 0.79/1.10 92 -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | -maps(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.10 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(92,c,72,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(92,c,76,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(92,c,77,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(92,c,78,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(92,c,79,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(92,c,80,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(92,c,81,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(92,c,82,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(92,c,83,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(92,c,84,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(92,c,85,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | member(f27(A,B,D,C,E),C) | isomorphism(A,B,D,C,E) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(92,c,86,a)]. 0.79/1.11 93 -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | -maps(A,B,C) | isomorphism(A,B,E,C,D) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(93,d,72,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(93,d,76,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(93,d,77,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(93,d,78,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(93,d,79,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(93,d,80,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(93,d,81,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(93,d,82,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(93,d,83,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(93,d,84,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(93,d,85,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(93,d,86,a)]. 0.79/1.11 94 -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | -maps(A,B,C) | isomorphism(A,B,E,C,D) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | member(f21(A,B,C),C). [resolve(94,d,72,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | member(f20(A,B,C),C). [resolve(94,d,76,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | member(f19(A,B,C),B). [resolve(94,d,77,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(94,d,78,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(94,d,79,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | member(f18(A,B,C),B) | f21(A,B,C) != f20(A,B,C). [resolve(94,d,80,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f21(A,B,C),C). [resolve(94,d,81,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f20(A,B,C),C). [resolve(94,d,82,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | member(f19(A,B,C),B). [resolve(94,d,83,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(94,d,84,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | apply(A,f19(A,B,C),f21(A,B,C)). [resolve(94,d,85,a)]. 0.79/1.11 Derived: -one_to_one(A,B,C) | -apply(D,f27(A,B,E,C,D),f29(A,B,E,C,D)) | -apply(E,f26(A,B,E,C,D),f28(A,B,E,C,D)) | isomorphism(A,B,E,C,D) | -member(F,C) | -apply(A,f18(A,B,C),F) | f21(A,B,C) != f20(A,B,C). [resolve(94,d,86,a)]. 0.79/1.11 95 maps(A,B,C) | -isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom). [clausify(23)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f17(A,B,D,F),D). [resolve(95,a,73,a)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f17(A,B,D,F)). [resolve(95,a,74,a)]. 0.79/1.11 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(95,a,75,a)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f26(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6). [resolve(95,a,87,c)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f28(A,B,F,D,V6),B) | isomorphism(A,B,F,D,V6). [resolve(95,a,88,c)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f29(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6). [resolve(95,a,89,c)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f26(A,B,F,D,V6),f27(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6). [resolve(95,a,90,c)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f28(A,B,F,D,V6),f29(A,B,F,D,V6)) | isomorphism(A,B,F,D,V6). [resolve(95,a,91,c)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f27(A,B,F,D,V6),D) | isomorphism(A,B,F,D,V6). [resolve(95,a,92,c)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F). [resolve(95,a,93,d)]. 0.79/1.11 Derived: -isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(F,f27(A,B,V6,D,F),f29(A,B,V6,D,F)) | -apply(V6,f26(A,B,V6,D,F),f28(A,B,V6,D,F)) | isomorphism(A,B,V6,D,F). [resolve(95,a,94,d)]. 0.79/1.11 96 maps(c1,c4,c5) # label(thII30) # label(negated_conjecture). [clausify(29)]. 0.79/1.11 Derived: -member(A,c4) | member(f17(c1,c4,c5,A),c5). [resolve(96,a,73,a)]. 0.79/1.11 Derived: -member(A,c4) | apply(c1,A,f17(c1,c4,c5,A)). [resolve(96,a,74,a)]. 0.79/1.11 Derived: -member(A,c5) | -member(B,c5) | -member(C,c4) | -apply(c1,C,B) | -apply(c1,C,A) | A = B. [resolve(96,a,75,a)]. 0.79/1.11 97 maps(c2,c5,c6) # label(thII30) # label(negated_conjecture). [clausify(29)]. 0.79/1.11 Derived: -member(A,c5) | member(f17(c2,c5,c6,A),c6). [resolve(97,a,73,a)]. 0.79/1.11 Derived: -member(A,c5) | apply(c2,A,f17(c2,c5,c6,A)). [resolve(97,a,74,a)]. 0.79/1.11 Derived: -member(A,c6) | -member(B,c6) | -member(C,c5) | -apply(c2,C,B) | -apply(c2,C,A) | A = B. [resolve(97,a,75,a)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | member(f26(c2,c5,A,c6,B),c5) | isomorphism(c2,c5,A,c6,B). [resolve(97,a,87,c)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | member(f28(c2,c5,A,c6,B),c5) | isomorphism(c2,c5,A,c6,B). [resolve(97,a,88,c)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | member(f29(c2,c5,A,c6,B),c6) | isomorphism(c2,c5,A,c6,B). [resolve(97,a,89,c)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | apply(c2,f26(c2,c5,A,c6,B),f27(c2,c5,A,c6,B)) | isomorphism(c2,c5,A,c6,B). [resolve(97,a,90,c)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | apply(c2,f28(c2,c5,A,c6,B),f29(c2,c5,A,c6,B)) | isomorphism(c2,c5,A,c6,B). [resolve(97,a,91,c)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | member(f27(c2,c5,A,c6,B),c6) | isomorphism(c2,c5,A,c6,B). [resolve(97,a,92,c)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | apply(A,f27(c2,c5,B,c6,A),f29(c2,c5,B,c6,A)) | apply(B,f26(c2,c5,B,c6,A),f28(c2,c5,B,c6,A)) | isomorphism(c2,c5,B,c6,A). [resolve(97,a,93,d)]. 0.79/1.11 Derived: -one_to_one(c2,c5,c6) | -apply(A,f27(c2,c5,B,c6,A),f29(c2,c5,B,c6,A)) | -apply(B,f26(c2,c5,B,c6,A),f28(c2,c5,B,c6,A)) | isomorphism(c2,c5,B,c6,A). [resolve(97,a,94,d)]. 0.79/1.11 98 maps(c3,c6,c4) # label(thII30) # label(negated_conjecture). [clausify(29)]. 0.79/1.11 Derived: -member(A,c6) | member(f17(c3,c6,c4,A),c4). [resolve(98,a,73,a)]. 0.79/1.11 Derived: -member(A,c6) | apply(c3,A,f17(c3,c6,c4,A)). [resolve(98,a,74,a)]. 0.79/1.11 Derived: -member(A,c4) | -member(B,c4) | -member(C,c6) | -apply(c3,C,B) | -apply(c3,C,A) | A = B. [resolve(98,a,75,a)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | member(f26(c3,c6,A,c4,B),c6) | isomorphism(c3,c6,A,c4,B). [resolve(98,a,87,c)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | member(f28(c3,c6,A,c4,B),c6) | isomorphism(c3,c6,A,c4,B). [resolve(98,a,88,c)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | member(f29(c3,c6,A,c4,B),c4) | isomorphism(c3,c6,A,c4,B). [resolve(98,a,89,c)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | apply(c3,f26(c3,c6,A,c4,B),f27(c3,c6,A,c4,B)) | isomorphism(c3,c6,A,c4,B). [resolve(98,a,90,c)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | apply(c3,f28(c3,c6,A,c4,B),f29(c3,c6,A,c4,B)) | isomorphism(c3,c6,A,c4,B). [resolve(98,a,91,c)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | member(f27(c3,c6,A,c4,B),c4) | isomorphism(c3,c6,A,c4,B). [resolve(98,a,92,c)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | apply(A,f27(c3,c6,B,c4,A),f29(c3,c6,B,c4,A)) | apply(B,f26(c3,c6,B,c4,A),f28(c3,c6,B,c4,A)) | isomorphism(c3,c6,B,c4,A). [resolve(98,a,93,d)]. 0.79/1.11 Derived: -one_to_one(c3,c6,c4) | -apply(A,f27(c3,c6,B,c4,A),f29(c3,c6,B,c4,A)) | -apply(B,f26(c3,c6,B,c4,A),f28(c3,c6,B,c4,A)) | isomorphism(c3,c6,B,c4,A). [resolve(98,a,94,d)]. 0.79/1.14 99 -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | -inverse_predicate(F,E,B,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.79/1.14 100 member(f24(A,B,C,D),C) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.79/1.14 101 member(f25(A,B,C,D),D) | inverse_predicate(A,B,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.79/1.14 102 apply(A,f24(B,A,C,D),f25(B,A,C,D)) | apply(B,f25(B,A,C,D),f24(B,A,C,D)) | inverse_predicate(B,A,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.79/1.14 103 -apply(A,f24(B,A,C,D),f25(B,A,C,D)) | -apply(B,f25(B,A,C,D),f24(B,A,C,D)) | inverse_predicate(B,A,C,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | member(f24(F,E,B,D),B). [resolve(99,e,100,b)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | member(f25(F,E,B,D),D). [resolve(99,e,101,b)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | apply(E,f24(F,E,B,D),f25(F,E,B,D)) | apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(99,e,102,c)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,C,A) | -apply(E,f24(F,E,B,D),f25(F,E,B,D)) | -apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(99,e,103,c)]. 0.79/1.14 104 -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | -inverse_predicate(F,E,B,D) # label(inverse_predicate) # label(axiom). [clausify(22)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | member(f24(F,E,B,D),B). [resolve(104,e,100,b)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | member(f25(F,E,B,D),D). [resolve(104,e,101,b)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | apply(E,f24(F,E,B,D),f25(F,E,B,D)) | apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(104,e,102,c)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -apply(F,C,A) | -apply(E,f24(F,E,B,D),f25(F,E,B,D)) | -apply(F,f25(F,E,B,D),f24(F,E,B,D)). [resolve(104,e,103,c)]. 0.79/1.14 105 identity(A,B) | member(f30(A,B),B) # label(identity) # label(axiom). [clausify(24)]. 0.79/1.14 106 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(24)]. 0.79/1.14 Derived: member(f30(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(105,a,106,a)]. 0.79/1.14 107 identity(A,B) | -apply(A,f30(A,B),f30(A,B)) # label(identity) # label(axiom). [clausify(24)]. 0.79/1.14 Derived: -apply(A,f30(A,B),f30(A,B)) | -member(C,B) | apply(A,C,C). [resolve(107,a,106,a)]. 0.79/1.14 108 -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | -decreasing(V7,D,F,B,V8) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 109 member(f35(A,B,C,D,E),D) | decreasing(A,B,C,D,E) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 110 member(f36(A,B,C,D,E),B) | decreasing(A,B,C,D,E) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 111 member(f37(A,B,C,D,E),D) | decreasing(A,B,C,D,E) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 112 apply(A,f34(B,C,A,D,E),f36(B,C,A,D,E)) | decreasing(B,C,A,D,E) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 113 apply(A,f34(A,B,C,D,E),f35(A,B,C,D,E)) | decreasing(A,B,C,D,E) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 114 apply(A,f36(A,B,C,D,E),f37(A,B,C,D,E)) | decreasing(A,B,C,D,E) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 115 member(f34(A,B,C,D,E),B) | decreasing(A,B,C,D,E) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 116 -apply(A,f37(B,C,D,E,A),f35(B,C,D,E,A)) | decreasing(B,C,D,E,A) # label(decreasing_function) # label(axiom). [clausify(27)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | member(f35(V7,D,F,B,V8),B). [resolve(108,i,109,b)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | member(f36(V7,D,F,B,V8),D). [resolve(108,i,110,b)]. 0.79/1.14 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | member(f37(V7,D,F,B,V8),B). [resolve(108,i,111,b)]. 4.84/5.16 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | apply(F,f34(V7,D,F,B,V8),f36(V7,D,F,B,V8)). [resolve(108,i,112,b)]. 4.84/5.16 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | apply(V7,f34(V7,D,F,B,V8),f35(V7,D,F,B,V8)). [resolve(108,i,113,b)]. 4.84/5.16 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | apply(V7,f36(V7,D,F,B,V8),f37(V7,D,F,B,V8)). [resolve(108,i,114,b)]. 4.84/5.16 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | member(f34(V7,D,F,B,V8),D). [resolve(108,i,115,b)]. 4.84/5.16 Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,C) | -apply(V7,V6,A) | -apply(V7,C,E) | -member(V6,D) | apply(V8,E,A) | -apply(V8,f37(V7,D,F,B,V8),f35(V7,D,F,B,V8)). [resolve(108,i,116,b)]. 4.84/5.16 4.84/5.16 ============================== end predicate elimination ============= 4.84/5.16 4.84/5.16 Auto_denials: (non-Horn, no changes). 4.84/5.16 4.84/5.16 Term ordering decisions: 4.84/5.16 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. image2=1. intersection=1. inverse_image2=1. union=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f30=1. power_set=1. product=1. sum=1. singleton=1. image3=1. inverse_image3=1. inverse_function=1. f12=1. f18=1. f19=1. f20=1. f21=1. f32=1. f33=1. f38=1. f39=1. f40=1. f4=1. f5=1. f6=1. f17=1. f22=1. f23=1. f24=1. f25=1. f31=1. compose_function=1. f13=1. f14=1. f15=1. f16=1. f26=1. f27=1. f28=1. f29=1. f34=1. f35=1. f36=1. f37=1. f7=1. f8=1. f9=1. f11=1. f10=1. 4.84/5.16 4.84/5.16 ============================== end of process initial clauses ======== 4.84/5.16 4.84/5.16 ============================== CLAUSES FOR SEARCH ==================== 4.84/5.16 4.84/5.16 ============================== end of clauses for search ============= 4.84/5.16 4.84/5.16 ============================== SEARCH ================================ 4.84/5.16 4.84/5.16 % Starting search at 0.41 seconds. 4.84/5.16 4.84/5.16 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.53 sec). 4.84/5.16 4.84/5.16 Low Water (keep): wt=43.000, iters=3397 4.84/5.16 4.84/5.16 Low Water (keep): wt=42.000, iters=3342 4.84/5.16 4.84/5.16 Low Water (keep): wt=40.000, iters=3633 4.84/5.16 4.84/5.16 Low Water (keep): wt=39.000, iters=3592 4.84/5.16 4.84/5.16 Low Water (keep): wt=36.000, iters=3431 4.84/5.16 4.84/5.16 Low Water (keep): wt=35.000, iters=3357 4.84/5.16 4.84/5.16 Low Water (keep): wt=34.000, iters=3882 4.84/5.16 4.84/5.16 Low Water (keep): wt=32.000, iters=3773 4.84/5.16 4.84/5.16 Low Water (keep): wt=31.000, iters=3713 4.84/5.16 4.84/5.16 Low Water (keep): wt=21.000, iters=3463 4.84/5.16 4.84/5.16 Low Water (keep): wt=19.000, iters=3337 4.84/5.16 4.84/5.16 Low Water (displace): id=6473, wt=198.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6654, wt=193.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5098, wt=179.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6439, wt=178.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6649, wt=177.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6440, wt=174.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5097, wt=173.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5282, wt=171.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6664, wt=169.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6569, wt=168.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5100, wt=167.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6656, wt=165.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6480, wt=162.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6663, wt=161.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6475, wt=158.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6655, wt=157.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5039, wt=153.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6717, wt=150.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6566, wt=149.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6651, wt=147.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6714, wt=146.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6627, wt=145.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5283, wt=144.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6632, wt=143.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6661, wt=141.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5204, wt=139.000 4.84/5.16 4.84/5.16 Low Water (displace): id=5284, wt=138.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6638, wt=137.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6652, wt=136.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6711, wt=134.000 4.84/5.16 4.84/5.16 Low Water (displace): id=6658, wt=133.000 4.84/5.16 4.84/5.16 Low Water (displAlarm clock 119.71/120.06 Prover9 interrupted 119.71/120.06 EOF