TSTP Solution File: SET725+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET725+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 04:31:39 EDT 2022
% Result : Timeout 300.08s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET725+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun Jul 10 12:19:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.42/1.00 ============================== Prover9 ===============================
% 0.42/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.00 Process 3402 was started by sandbox2 on n028.cluster.edu,
% 0.42/1.00 Sun Jul 10 12:19:13 2022
% 0.42/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3248_n028.cluster.edu".
% 0.42/1.00 ============================== end of head ===========================
% 0.42/1.00
% 0.42/1.00 ============================== INPUT =================================
% 0.42/1.00
% 0.42/1.00 % Reading from file /tmp/Prover9_3248_n028.cluster.edu
% 0.42/1.00
% 0.42/1.00 set(prolog_style_variables).
% 0.42/1.00 set(auto2).
% 0.42/1.00 % set(auto2) -> set(auto).
% 0.42/1.00 % set(auto) -> set(auto_inference).
% 0.42/1.00 % set(auto) -> set(auto_setup).
% 0.42/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.00 % set(auto) -> set(auto_limits).
% 0.42/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.00 % set(auto) -> set(auto_denials).
% 0.42/1.00 % set(auto) -> set(auto_process).
% 0.42/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.00 % set(auto2) -> assign(stats, some).
% 0.42/1.00 % set(auto2) -> clear(echo_input).
% 0.42/1.00 % set(auto2) -> set(quiet).
% 0.42/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.00 % set(auto2) -> clear(print_given).
% 0.42/1.00 assign(lrs_ticks,-1).
% 0.42/1.00 assign(sos_limit,10000).
% 0.42/1.00 assign(order,kbo).
% 0.42/1.00 set(lex_order_vars).
% 0.42/1.00 clear(print_given).
% 0.42/1.00
% 0.42/1.00 % formulas(sos). % not echoed (29 formulas)
% 0.42/1.00
% 0.42/1.00 ============================== end of input ==========================
% 0.42/1.00
% 0.42/1.00 % From the command line: assign(max_seconds, 300).
% 0.42/1.00
% 0.42/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.00
% 0.42/1.00 % Formulas that are not ordinary clauses:
% 0.42/1.00 1 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 2 (all A all B (equal_set(A,B) <-> subset(A,B) & subset(B,A))) # label(equal_set) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 3 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 4 (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].
% 0.42/1.00 5 (all X all A all B (member(X,union(A,B)) <-> member(X,A) | member(X,B))) # label(union) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 6 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 7 (all B all A all E (member(B,difference(E,A)) <-> member(B,E) & -member(B,A))) # label(difference) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 8 (all X all A (member(X,singleton(A)) <-> X = A)) # label(singleton) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 9 (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].
% 0.42/1.00 10 (all X all A (member(X,sum(A)) <-> (exists Y (member(Y,A) & member(X,Y))))) # label(sum) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 11 (all X all A (member(X,product(A)) <-> (all Y (member(Y,A) -> member(X,Y))))) # label(product) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 12 (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(X,A) & member(Y1,B) & member(Y2,B) -> (apply(F,X,Y1) & apply(F,X,Y2) -> Y1 = Y2))))) # label(maps) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 13 (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) -> (apply(H,X,Z) <-> (exists Y (member(Y,B) & apply(F,X,Y) & apply(G,Y,Z)))))))) # label(compose_predicate) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 14 (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 (member(Y,B) & apply(F,X,Y) & apply(G,Y,Z)))))) # label(compose_function) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 15 (all F all G all A all B (equal_maps(F,G,A,B) <-> (all X all Y1 all Y2 (member(X,A) & member(Y1,B) & member(Y2,B) -> (apply(F,X,Y1) & apply(G,X,Y2) -> Y1 = Y2))))) # label(equal_maps) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 16 (all F all A (identity(F,A) <-> (all X (member(X,A) -> apply(F,X,X))))) # label(identity) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 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,X1,Y) & apply(F,X2,Y) -> X1 = X2))))) # label(injective) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 18 (all F all A all B (surjective(F,A,B) <-> (all Y (member(Y,B) -> (exists E (member(E,A) & apply(F,E,Y))))))) # label(surjective) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 19 (all F all A all B (one_to_one(F,A,B) <-> injective(F,A,B) & surjective(F,A,B))) # label(one_to_one) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 20 (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(F,X,Y) <-> apply(G,Y,X)))))) # label(inverse_predicate) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 21 (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].
% 0.42/1.00 22 (all F all A all Y (member(Y,image2(F,A)) <-> (exists X (member(X,A) & apply(F,X,Y))))) # label(image2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 23 (all F all A all B all Y (member(Y,image3(F,A,B)) <-> member(Y,B) & (exists X (member(X,A) & apply(F,X,Y))))) # label(image3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 24 (all F all B all X (member(X,inverse_image2(F,B)) <-> (exists Y (member(Y,B) & apply(F,X,Y))))) # label(inverse_image2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 25 (all F all B all A all X (member(X,inverse_image3(F,B,A)) <-> member(X,A) & (exists Y (member(Y,B) & apply(F,X,Y))))) # label(inverse_image3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 26 (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(X1,A) & member(Y1,B) & member(X2,A) & member(Y2,B) & apply(R,X1,X2) & apply(F,X1,Y1) & apply(F,X2,Y2) -> apply(S,Y1,Y2))))) # label(increasing_function) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 27 (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(R,X1,X2) & apply(F,X1,Y1) & apply(F,X2,Y2) -> apply(S,Y2,Y1))))) # label(decreasing_function) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 28 (all F all A all R all B all S (isomorphism(F,A,R,B,S) <-> maps(F,A,B) & one_to_one(F,A,B) & (all X1 all Y1 all X2 all Y2 (member(X1,A) & member(Y1,B) & member(X2,A) & member(Y2,B) & apply(F,X1,Y1) & apply(F,X2,Y2) -> (apply(R,X1,X2) <-> apply(S,Y1,Y2)))))) # label(isomorphism) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.00 29 -(all F all G all H all A all B (maps(F,A,B) & maps(G,B,A) & maps(H,B,A) & identity(compose_function(G,F,A,B,A),A) & identity(compose_function(F,H,B,A,B),B) -> one_to_one(F,A,B))) # label(thII16) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.00
% 0.42/1.00 ============================== end of process non-clausal formulas ===
% 0.42/1.00
% 0.42/1.00 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.00
% 0.42/1.00 ============================== PREDICATE ELIMINATION =================
% 0.42/1.00 30 equal_set(A,B) | -subset(A,B) | -subset(B,A) # label(equal_set) # label(axiom). [clausify(2)].
% 0.42/1.00 31 -equal_set(A,B) | subset(A,B) # label(equal_set) # label(axiom). [clausify(2)].
% 0.42/1.00 32 -equal_set(A,B) | subset(B,A) # label(equal_set) # label(axiom). [clausify(2)].
% 0.42/1.01 33 subset(A,B) | member(f1(A,B),A) # label(subset) # label(axiom). [clausify(1)].
% 0.42/1.01 34 -subset(A,B) | -member(C,A) | member(C,B) # label(subset) # label(axiom). [clausify(1)].
% 0.42/1.01 Derived: member(f1(A,B),A) | -member(C,A) | member(C,B). [resolve(33,a,34,a)].
% 0.42/1.01 35 subset(A,B) | -member(f1(A,B),B) # label(subset) # label(axiom). [clausify(1)].
% 0.42/1.01 Derived: -member(f1(A,B),B) | -member(C,A) | member(C,B). [resolve(35,a,34,a)].
% 0.42/1.01 36 -member(A,power_set(B)) | subset(A,B) # label(power_set) # label(axiom). [clausify(3)].
% 0.42/1.01 Derived: -member(A,power_set(B)) | -member(C,A) | member(C,B). [resolve(36,b,34,a)].
% 0.42/1.01 37 member(A,power_set(B)) | -subset(A,B) # label(power_set) # label(axiom). [clausify(3)].
% 0.42/1.01 Derived: member(A,power_set(B)) | member(f1(A,B),A). [resolve(37,b,33,a)].
% 0.42/1.01 Derived: member(A,power_set(B)) | -member(f1(A,B),B). [resolve(37,b,35,a)].
% 0.42/1.01 38 maps(A,B,C) | member(f5(A,B,C),B) | member(f6(A,B,C),B) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 39 -maps(A,B,C) | -member(D,B) | member(f4(A,B,C,D),C) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 40 -maps(A,B,C) | -member(D,B) | apply(A,D,f4(A,B,C,D)) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 41 -maps(A,B,C) | -member(D,B) | -member(E,C) | -member(F,C) | -apply(A,D,E) | -apply(A,D,F) | F = E # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f6(A,B,C),B) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(38,a,39,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f6(A,B,C),B) | -member(D,B) | apply(A,D,f4(A,B,C,D)). [resolve(38,a,40,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f6(A,B,C),B) | -member(D,B) | -member(E,C) | -member(F,C) | -apply(A,D,E) | -apply(A,D,F) | F = E. [resolve(38,a,41,a)].
% 0.42/1.01 42 maps(A,B,C) | member(f5(A,B,C),B) | member(f7(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f7(A,B,C),C) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(42,a,39,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f7(A,B,C),C) | -member(D,B) | apply(A,D,f4(A,B,C,D)). [resolve(42,a,40,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f7(A,B,C),C) | -member(D,B) | -member(E,C) | -member(F,C) | -apply(A,D,E) | -apply(A,D,F) | F = E. [resolve(42,a,41,a)].
% 0.42/1.01 43 maps(A,B,C) | member(f5(A,B,C),B) | member(f8(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f8(A,B,C),C) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(43,a,39,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f8(A,B,C),C) | -member(D,B) | apply(A,D,f4(A,B,C,D)). [resolve(43,a,40,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | member(f8(A,B,C),C) | -member(D,B) | -member(E,C) | -member(F,C) | -apply(A,D,E) | -apply(A,D,F) | F = E. [resolve(43,a,41,a)].
% 0.42/1.01 44 maps(A,B,C) | member(f5(A,B,C),B) | apply(A,f6(A,B,C),f7(A,B,C)) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | apply(A,f6(A,B,C),f7(A,B,C)) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(44,a,39,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | apply(A,f6(A,B,C),f7(A,B,C)) | -member(D,B) | apply(A,D,f4(A,B,C,D)). [resolve(44,a,40,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | apply(A,f6(A,B,C),f7(A,B,C)) | -member(D,B) | -member(E,C) | -member(F,C) | -apply(A,D,E) | -apply(A,D,F) | F = E. [resolve(44,a,41,a)].
% 0.42/1.01 45 maps(A,B,C) | member(f5(A,B,C),B) | apply(A,f6(A,B,C),f8(A,B,C)) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | apply(A,f6(A,B,C),f8(A,B,C)) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(45,a,39,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | apply(A,f6(A,B,C),f8(A,B,C)) | -member(D,B) | apply(A,D,f4(A,B,C,D)). [resolve(45,a,40,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | apply(A,f6(A,B,C),f8(A,B,C)) | -member(D,B) | -member(E,C) | -member(F,C) | -apply(A,D,E) | -apply(A,D,F) | F = E. [resolve(45,a,41,a)].
% 0.42/1.01 46 maps(A,B,C) | member(f5(A,B,C),B) | f8(A,B,C) != f7(A,B,C) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | f8(A,B,C) != f7(A,B,C) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(46,a,39,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | f8(A,B,C) != f7(A,B,C) | -member(D,B) | apply(A,D,f4(A,B,C,D)). [resolve(46,a,40,a)].
% 0.42/1.01 Derived: member(f5(A,B,C),B) | f8(A,B,C) != f7(A,B,C) | -member(D,B) | -member(E,C) | -member(F,C) | -apply(A,D,E) | -apply(A,D,F) | F = E. [resolve(46,a,41,a)].
% 0.42/1.01 47 maps(A,B,C) | -member(D,C) | -apply(A,f5(A,B,C),D) | member(f6(A,B,C),B) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f6(C,D,B),D) | -member(E,D) | member(f4(C,D,B,E),B). [resolve(47,a,39,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f6(C,D,B),D) | -member(E,D) | apply(C,E,f4(C,D,B,E)). [resolve(47,a,40,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f6(C,D,B),D) | -member(E,D) | -member(F,B) | -member(V6,B) | -apply(C,E,F) | -apply(C,E,V6) | V6 = F. [resolve(47,a,41,a)].
% 0.42/1.01 48 maps(A,B,C) | -member(D,C) | -apply(A,f5(A,B,C),D) | member(f7(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f7(C,D,B),B) | -member(E,D) | member(f4(C,D,B,E),B). [resolve(48,a,39,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f7(C,D,B),B) | -member(E,D) | apply(C,E,f4(C,D,B,E)). [resolve(48,a,40,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f7(C,D,B),B) | -member(E,D) | -member(F,B) | -member(V6,B) | -apply(C,E,F) | -apply(C,E,V6) | V6 = F. [resolve(48,a,41,a)].
% 0.42/1.01 49 maps(A,B,C) | -member(D,C) | -apply(A,f5(A,B,C),D) | member(f8(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f8(C,D,B),B) | -member(E,D) | member(f4(C,D,B,E),B). [resolve(49,a,39,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f8(C,D,B),B) | -member(E,D) | apply(C,E,f4(C,D,B,E)). [resolve(49,a,40,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | member(f8(C,D,B),B) | -member(E,D) | -member(F,B) | -member(V6,B) | -apply(C,E,F) | -apply(C,E,V6) | V6 = F. [resolve(49,a,41,a)].
% 0.42/1.01 50 maps(A,B,C) | -member(D,C) | -apply(A,f5(A,B,C),D) | apply(A,f6(A,B,C),f7(A,B,C)) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | apply(C,f6(C,D,B),f7(C,D,B)) | -member(E,D) | member(f4(C,D,B,E),B). [resolve(50,a,39,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | apply(C,f6(C,D,B),f7(C,D,B)) | -member(E,D) | apply(C,E,f4(C,D,B,E)). [resolve(50,a,40,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | apply(C,f6(C,D,B),f7(C,D,B)) | -member(E,D) | -member(F,B) | -member(V6,B) | -apply(C,E,F) | -apply(C,E,V6) | V6 = F. [resolve(50,a,41,a)].
% 0.42/1.01 51 maps(A,B,C) | -member(D,C) | -apply(A,f5(A,B,C),D) | apply(A,f6(A,B,C),f8(A,B,C)) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | apply(C,f6(C,D,B),f8(C,D,B)) | -member(E,D) | member(f4(C,D,B,E),B). [resolve(51,a,39,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | apply(C,f6(C,D,B),f8(C,D,B)) | -member(E,D) | apply(C,E,f4(C,D,B,E)). [resolve(51,a,40,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | apply(C,f6(C,D,B),f8(C,D,B)) | -member(E,D) | -member(F,B) | -member(V6,B) | -apply(C,E,F) | -apply(C,E,V6) | V6 = F. [resolve(51,a,41,a)].
% 0.42/1.01 52 maps(A,B,C) | -member(D,C) | -apply(A,f5(A,B,C),D) | f8(A,B,C) != f7(A,B,C) # label(maps) # label(axiom). [clausify(12)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | f8(C,D,B) != f7(C,D,B) | -member(E,D) | member(f4(C,D,B,E),B). [resolve(52,a,39,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | f8(C,D,B) != f7(C,D,B) | -member(E,D) | apply(C,E,f4(C,D,B,E)). [resolve(52,a,40,a)].
% 0.42/1.01 Derived: -member(A,B) | -apply(C,f5(C,D,B),A) | f8(C,D,B) != f7(C,D,B) | -member(E,D) | -member(F,B) | -member(V6,B) | -apply(C,E,F) | -apply(C,E,V6) | V6 = F. [resolve(52,a,41,a)].
% 0.42/1.01 53 -isomorphism(A,B,C,D,E) | maps(A,B,D) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.42/1.01 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f4(A,B,D,F),D). [resolve(53,b,39,a)].
% 0.42/1.01 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f4(A,B,D,F)). [resolve(53,b,40,a)].
% 0.42/1.01 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | -member(V6,D) | -member(V7,D) | -apply(A,F,V6) | -apply(A,F,V7) | V7 = V6. [resolve(53,b,41,a)].
% 0.42/1.01 54 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(54,b,38,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(54,b,42,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(54,b,43,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(54,b,44,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(54,b,45,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(54,b,46,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(54,b,47,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(54,b,48,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(54,b,49,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(54,b,50,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(54,b,51,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(54,b,52,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f37(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6). [resolve(54,b,53,b)].
% 0.42/1.01 55 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(55,b,38,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(55,b,42,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(55,b,43,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(55,b,44,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(55,b,45,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(55,b,46,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(55,b,47,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(55,b,48,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(55,b,49,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(55,b,50,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(55,b,51,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(55,b,52,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f38(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6). [resolve(55,b,53,b)].
% 0.42/1.01 56 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(56,b,38,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(56,b,42,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(56,b,43,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(56,b,44,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(56,b,45,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(56,b,46,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(56,b,47,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(56,b,48,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(56,b,49,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(56,b,50,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(56,b,51,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(56,b,52,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f39(A,B,C,D,E),B) | -isomorphism(A,B,F,D,V6). [resolve(56,b,53,b)].
% 0.42/1.01 57 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(57,b,38,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(57,b,42,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(57,b,43,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(57,b,44,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(57,b,45,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(57,b,46,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(57,b,47,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(57,b,48,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(57,b,49,a)].
% 0.42/1.01 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(57,b,50,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(57,b,51,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(57,b,52,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | member(f40(A,B,C,D,E),D) | -isomorphism(A,B,F,D,V6). [resolve(57,b,53,b)].
% 0.74/1.02 58 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(58,b,38,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(58,b,42,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(58,b,43,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(58,b,44,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(58,b,45,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(58,b,46,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(58,b,47,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(58,b,48,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(58,b,49,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(58,b,50,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(58,b,51,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(58,b,52,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(58,b,53,b)].
% 0.74/1.02 59 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(59,b,38,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(59,b,42,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(59,b,43,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(59,b,44,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(59,b,45,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(59,b,46,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(59,b,47,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(59,b,48,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(59,b,49,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(59,b,50,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(59,b,51,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(59,b,52,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(A,f39(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(59,b,53,b)].
% 0.74/1.02 60 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(60,b,38,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(60,b,42,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(60,b,43,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(60,b,44,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(60,b,45,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(60,b,46,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(60,b,47,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(60,b,48,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(60,b,49,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(60,b,50,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(60,b,51,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(60,b,52,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(60,b,53,b)].
% 0.74/1.02 61 isomorphism(A,B,C,D,E) | -maps(A,B,D) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f6(A,B,D),B). [resolve(61,b,38,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f7(A,B,D),D). [resolve(61,b,42,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | member(f8(A,B,D),D). [resolve(61,b,43,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(61,b,44,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(61,b,45,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | member(f5(A,B,D),B) | f8(A,B,D) != f7(A,B,D). [resolve(61,b,46,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f6(A,B,D),B). [resolve(61,b,47,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f7(A,B,D),D). [resolve(61,b,48,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | member(f8(A,B,D),D). [resolve(61,b,49,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f7(A,B,D)). [resolve(61,b,50,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | apply(A,f6(A,B,D),f8(A,B,D)). [resolve(61,b,51,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -member(F,D) | -apply(A,f5(A,B,D),F) | f8(A,B,D) != f7(A,B,D). [resolve(61,b,52,a)].
% 0.74/1.02 Derived: isomorphism(A,B,C,D,E) | -one_to_one(A,B,D) | -apply(C,f37(A,B,C,D,E),f39(A,B,C,D,E)) | -apply(E,f38(A,B,C,D,E),f40(A,B,C,D,E)) | -isomorphism(A,B,F,D,V6). [resolve(61,b,53,b)].
% 0.74/1.02 62 maps(c1,c4,c5) # label(thII16) # label(negated_conjecture). [clausify(29)].
% 0.74/1.02 Derived: -member(A,c4) | member(f4(c1,c4,c5,A),c5). [resolve(62,a,39,a)].
% 0.74/1.02 Derived: -member(A,c4) | apply(c1,A,f4(c1,c4,c5,A)). [resolve(62,a,40,a)].
% 0.74/1.02 Derived: -member(A,c4) | -member(B,c5) | -member(C,c5) | -apply(c1,A,B) | -apply(c1,A,C) | C = B. [resolve(62,a,41,a)].
% 0.74/1.02 63 maps(c2,c5,c4) # label(thII16) # label(negated_conjecture). [clausify(29)].
% 0.74/1.02 Derived: -member(A,c5) | member(f4(c2,c5,c4,A),c4). [resolve(63,a,39,a)].
% 0.74/1.02 Derived: -member(A,c5) | apply(c2,A,f4(c2,c5,c4,A)). [resolve(63,a,40,a)].
% 0.74/1.02 Derived: -member(A,c5) | -member(B,c4) | -member(C,c4) | -apply(c2,A,B) | -apply(c2,A,C) | C = B. [resolve(63,a,41,a)].
% 0.74/1.02 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | member(f37(c2,c5,A,c4,B),c5). [resolve(63,a,54,b)].
% 0.74/1.02 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | member(f38(c2,c5,A,c4,B),c4). [resolve(63,a,55,b)].
% 0.74/1.02 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | member(f39(c2,c5,A,c4,B),c5). [resolve(63,a,56,b)].
% 0.74/1.03 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | member(f40(c2,c5,A,c4,B),c4). [resolve(63,a,57,b)].
% 0.74/1.03 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | apply(c2,f37(c2,c5,A,c4,B),f38(c2,c5,A,c4,B)). [resolve(63,a,58,b)].
% 0.74/1.03 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | apply(c2,f39(c2,c5,A,c4,B),f40(c2,c5,A,c4,B)). [resolve(63,a,59,b)].
% 0.74/1.03 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | apply(A,f37(c2,c5,A,c4,B),f39(c2,c5,A,c4,B)) | apply(B,f38(c2,c5,A,c4,B),f40(c2,c5,A,c4,B)). [resolve(63,a,60,b)].
% 0.74/1.03 Derived: isomorphism(c2,c5,A,c4,B) | -one_to_one(c2,c5,c4) | -apply(A,f37(c2,c5,A,c4,B),f39(c2,c5,A,c4,B)) | -apply(B,f38(c2,c5,A,c4,B),f40(c2,c5,A,c4,B)). [resolve(63,a,61,b)].
% 0.74/1.03 64 maps(c3,c5,c4) # label(thII16) # label(negated_conjecture). [clausify(29)].
% 0.74/1.03 Derived: -member(A,c5) | member(f4(c3,c5,c4,A),c4). [resolve(64,a,39,a)].
% 0.74/1.03 Derived: -member(A,c5) | apply(c3,A,f4(c3,c5,c4,A)). [resolve(64,a,40,a)].
% 0.74/1.03 Derived: -member(A,c5) | -member(B,c4) | -member(C,c4) | -apply(c3,A,B) | -apply(c3,A,C) | C = B. [resolve(64,a,41,a)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f37(c3,c5,A,c4,B),c5). [resolve(64,a,54,b)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f38(c3,c5,A,c4,B),c4). [resolve(64,a,55,b)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f39(c3,c5,A,c4,B),c5). [resolve(64,a,56,b)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f40(c3,c5,A,c4,B),c4). [resolve(64,a,57,b)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | apply(c3,f37(c3,c5,A,c4,B),f38(c3,c5,A,c4,B)). [resolve(64,a,58,b)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | apply(c3,f39(c3,c5,A,c4,B),f40(c3,c5,A,c4,B)). [resolve(64,a,59,b)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | apply(A,f37(c3,c5,A,c4,B),f39(c3,c5,A,c4,B)) | apply(B,f38(c3,c5,A,c4,B),f40(c3,c5,A,c4,B)). [resolve(64,a,60,b)].
% 0.74/1.03 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | -apply(A,f37(c3,c5,A,c4,B),f39(c3,c5,A,c4,B)) | -apply(B,f38(c3,c5,A,c4,B),f40(c3,c5,A,c4,B)). [resolve(64,a,61,b)].
% 0.74/1.03 65 compose_predicate(A,B,C,D,E,F) | member(f10(A,B,C,D,E,F),D) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.03 66 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | member(f9(A,B,C,D,E,F,V6,V7),E) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.03 67 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(C,V6,f9(A,B,C,D,E,F,V6,V7)) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.03 68 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(B,f9(A,B,C,D,E,F,V6,V7),V7) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.03 69 -compose_predicate(A,B,C,D,E,F) | -member(V6,D) | -member(V7,F) | apply(A,V6,V7) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.03 Derived: member(f10(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | member(f9(A,B,C,D,E,F,V6,V7),E). [resolve(65,a,66,a)].
% 0.74/1.03 Derived: member(f10(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(C,V6,f9(A,B,C,D,E,F,V6,V7)). [resolve(65,a,67,a)].
% 0.74/1.03 Derived: member(f10(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(B,f9(A,B,C,D,E,F,V6,V7),V7). [resolve(65,a,68,a)].
% 0.74/1.03 Derived: member(f10(A,B,C,D,E,F),D) | -member(V6,D) | -member(V7,F) | apply(A,V6,V7) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7). [resolve(65,a,69,a)].
% 0.74/1.03 70 compose_predicate(A,B,C,D,E,F) | member(f11(A,B,C,D,E,F),F) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.03 Derived: member(f11(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | member(f9(A,B,C,D,E,F,V6,V7),E). [resolve(70,a,66,a)].
% 0.74/1.03 Derived: member(f11(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(C,V6,f9(A,B,C,D,E,F,V6,V7)). [resolve(70,a,67,a)].
% 0.74/1.04 Derived: member(f11(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(B,f9(A,B,C,D,E,F,V6,V7),V7). [resolve(70,a,68,a)].
% 0.74/1.04 Derived: member(f11(A,B,C,D,E,F),F) | -member(V6,D) | -member(V7,F) | apply(A,V6,V7) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7). [resolve(70,a,69,a)].
% 0.74/1.04 71 compose_predicate(A,B,C,D,E,F) | apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | member(f12(A,B,C,D,E,F),E) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | member(f12(A,B,C,D,E,F),E) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | member(f9(A,B,C,D,E,F,V6,V7),E). [resolve(71,a,66,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | member(f12(A,B,C,D,E,F),E) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(C,V6,f9(A,B,C,D,E,F,V6,V7)). [resolve(71,a,67,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | member(f12(A,B,C,D,E,F),E) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(B,f9(A,B,C,D,E,F,V6,V7),V7). [resolve(71,a,68,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | member(f12(A,B,C,D,E,F),E) | -member(V6,D) | -member(V7,F) | apply(A,V6,V7) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7). [resolve(71,a,69,a)].
% 0.74/1.04 72 compose_predicate(A,B,C,D,E,F) | apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(C,f10(A,B,C,D,E,F),f12(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(C,f10(A,B,C,D,E,F),f12(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | member(f9(A,B,C,D,E,F,V6,V7),E). [resolve(72,a,66,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(C,f10(A,B,C,D,E,F),f12(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(C,V6,f9(A,B,C,D,E,F,V6,V7)). [resolve(72,a,67,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(C,f10(A,B,C,D,E,F),f12(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(B,f9(A,B,C,D,E,F,V6,V7),V7). [resolve(72,a,68,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(C,f10(A,B,C,D,E,F),f12(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(A,V6,V7) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7). [resolve(72,a,69,a)].
% 0.74/1.04 73 compose_predicate(A,B,C,D,E,F) | apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(B,f12(A,B,C,D,E,F),f11(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(B,f12(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | member(f9(A,B,C,D,E,F,V6,V7),E). [resolve(73,a,66,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(B,f12(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(C,V6,f9(A,B,C,D,E,F,V6,V7)). [resolve(73,a,67,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(B,f12(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | -apply(A,V6,V7) | apply(B,f9(A,B,C,D,E,F,V6,V7),V7). [resolve(73,a,68,a)].
% 0.74/1.04 Derived: apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | apply(B,f12(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,D) | -member(V7,F) | apply(A,V6,V7) | -member(V8,E) | -apply(C,V6,V8) | -apply(B,V8,V7). [resolve(73,a,69,a)].
% 0.74/1.04 74 compose_predicate(A,B,C,D,E,F) | -apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,E) | -apply(C,f10(A,B,C,D,E,F),V6) | -apply(B,V6,f11(A,B,C,D,E,F)) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.04 Derived: -apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,E) | -apply(C,f10(A,B,C,D,E,F),V6) | -apply(B,V6,f11(A,B,C,D,E,F)) | -member(V7,D) | -member(V8,F) | -apply(A,V7,V8) | member(f9(A,B,C,D,E,F,V7,V8),E). [resolve(74,a,66,a)].
% 0.74/1.04 Derived: -apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,E) | -apply(C,f10(A,B,C,D,E,F),V6) | -apply(B,V6,f11(A,B,C,D,E,F)) | -member(V7,D) | -member(V8,F) | -apply(A,V7,V8) | apply(C,V7,f9(A,B,C,D,E,F,V7,V8)). [resolve(74,a,67,a)].
% 0.74/1.04 Derived: -apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,E) | -apply(C,f10(A,B,C,D,E,F),V6) | -apply(B,V6,f11(A,B,C,D,E,F)) | -member(V7,D) | -member(V8,F) | -apply(A,V7,V8) | apply(B,f9(A,B,C,D,E,F,V7,V8),V8). [resolve(74,a,68,a)].
% 0.74/1.07 Derived: -apply(A,f10(A,B,C,D,E,F),f11(A,B,C,D,E,F)) | -member(V6,E) | -apply(C,f10(A,B,C,D,E,F),V6) | -apply(B,V6,f11(A,B,C,D,E,F)) | -member(V7,D) | -member(V8,F) | apply(A,V7,V8) | -member(V9,E) | -apply(C,V7,V9) | -apply(B,V9,V8). [resolve(74,a,69,a)].
% 0.74/1.07 75 equal_maps(A,B,C,D) | member(f14(A,B,C,D),C) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.74/1.07 76 -equal_maps(A,B,C,D) | -member(E,C) | -member(F,D) | -member(V6,D) | -apply(A,E,F) | -apply(B,E,V6) | V6 = F # label(equal_maps) # label(axiom). [clausify(15)].
% 0.74/1.07 Derived: member(f14(A,B,C,D),C) | -member(E,C) | -member(F,D) | -member(V6,D) | -apply(A,E,F) | -apply(B,E,V6) | V6 = F. [resolve(75,a,76,a)].
% 0.74/1.07 77 equal_maps(A,B,C,D) | member(f15(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.74/1.07 Derived: member(f15(A,B,C,D),D) | -member(E,C) | -member(F,D) | -member(V6,D) | -apply(A,E,F) | -apply(B,E,V6) | V6 = F. [resolve(77,a,76,a)].
% 0.74/1.07 78 equal_maps(A,B,C,D) | member(f16(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.74/1.07 Derived: member(f16(A,B,C,D),D) | -member(E,C) | -member(F,D) | -member(V6,D) | -apply(A,E,F) | -apply(B,E,V6) | V6 = F. [resolve(78,a,76,a)].
% 0.74/1.07 79 equal_maps(A,B,C,D) | apply(A,f14(A,B,C,D),f15(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.74/1.07 Derived: apply(A,f14(A,B,C,D),f15(A,B,C,D)) | -member(E,C) | -member(F,D) | -member(V6,D) | -apply(A,E,F) | -apply(B,E,V6) | V6 = F. [resolve(79,a,76,a)].
% 0.74/1.07 80 equal_maps(A,B,C,D) | apply(B,f14(A,B,C,D),f16(A,B,C,D)) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.74/1.07 Derived: apply(A,f14(B,A,C,D),f16(B,A,C,D)) | -member(E,C) | -member(F,D) | -member(V6,D) | -apply(B,E,F) | -apply(A,E,V6) | V6 = F. [resolve(80,a,76,a)].
% 0.74/1.07 81 equal_maps(A,B,C,D) | f16(A,B,C,D) != f15(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.74/1.07 Derived: f16(A,B,C,D) != f15(A,B,C,D) | -member(E,C) | -member(F,D) | -member(V6,D) | -apply(A,E,F) | -apply(B,E,V6) | V6 = F. [resolve(81,a,76,a)].
% 0.74/1.07 82 identity(A,B) | member(f17(A,B),B) # label(identity) # label(axiom). [clausify(16)].
% 0.74/1.07 83 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(16)].
% 0.74/1.07 Derived: member(f17(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(82,a,83,a)].
% 0.74/1.07 84 identity(A,B) | -apply(A,f17(A,B),f17(A,B)) # label(identity) # label(axiom). [clausify(16)].
% 0.74/1.07 Derived: -apply(A,f17(A,B),f17(A,B)) | -member(C,B) | apply(A,C,C). [resolve(84,a,83,a)].
% 0.74/1.07 85 identity(compose_function(c2,c1,c4,c5,c4),c4) # label(thII16) # label(negated_conjecture). [clausify(29)].
% 0.74/1.07 Derived: -member(A,c4) | apply(compose_function(c2,c1,c4,c5,c4),A,A). [resolve(85,a,83,a)].
% 0.74/1.07 86 identity(compose_function(c1,c3,c5,c4,c5),c5) # label(thII16) # label(negated_conjecture). [clausify(29)].
% 0.74/1.07 Derived: -member(A,c5) | apply(compose_function(c1,c3,c5,c4,c5),A,A). [resolve(86,a,83,a)].
% 0.74/1.07 87 injective(A,B,C) | member(f18(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.07 88 -injective(A,B,C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.07 Derived: member(f18(A,B,C),B) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D. [resolve(87,a,88,a)].
% 0.74/1.07 89 injective(A,B,C) | member(f19(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.07 Derived: member(f19(A,B,C),B) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D. [resolve(89,a,88,a)].
% 0.74/1.07 90 injective(A,B,C) | member(f20(A,B,C),C) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.07 Derived: member(f20(A,B,C),C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D. [resolve(90,a,88,a)].
% 0.74/1.07 91 injective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.07 Derived: apply(A,f18(A,B,C),f20(A,B,C)) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D. [resolve(91,a,88,a)].
% 0.74/1.07 92 injective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.09 Derived: apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D. [resolve(92,a,88,a)].
% 0.83/1.09 93 injective(A,B,C) | f19(A,B,C) != f18(A,B,C) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.09 Derived: f19(A,B,C) != f18(A,B,C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D. [resolve(93,a,88,a)].
% 0.83/1.09 94 -one_to_one(A,B,C) | injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.83/1.09 Derived: -one_to_one(A,B,C) | -member(D,B) | -member(E,B) | -member(F,C) | -apply(A,D,F) | -apply(A,E,F) | E = D. [resolve(94,b,88,a)].
% 0.83/1.09 95 one_to_one(A,B,C) | -injective(A,B,C) | -surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f18(A,B,C),B). [resolve(95,b,87,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f19(A,B,C),B). [resolve(95,b,89,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f20(A,B,C),C). [resolve(95,b,90,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)). [resolve(95,b,91,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(95,b,92,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | f19(A,B,C) != f18(A,B,C). [resolve(95,b,93,a)].
% 0.83/1.09 96 surjective(A,B,C) | member(f22(A,B,C),C) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.09 97 -surjective(A,B,C) | -member(D,C) | member(f21(A,B,C,D),B) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.09 98 -surjective(A,B,C) | -member(D,C) | apply(A,f21(A,B,C,D),D) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.09 Derived: member(f22(A,B,C),C) | -member(D,C) | member(f21(A,B,C,D),B). [resolve(96,a,97,a)].
% 0.83/1.09 Derived: member(f22(A,B,C),C) | -member(D,C) | apply(A,f21(A,B,C,D),D). [resolve(96,a,98,a)].
% 0.83/1.09 99 surjective(A,B,C) | -member(D,B) | -apply(A,D,f22(A,B,C)) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.09 Derived: -member(A,B) | -apply(C,A,f22(C,B,D)) | -member(E,D) | member(f21(C,B,D,E),B). [resolve(99,a,97,a)].
% 0.83/1.09 Derived: -member(A,B) | -apply(C,A,f22(C,B,D)) | -member(E,D) | apply(C,f21(C,B,D,E),E). [resolve(99,a,98,a)].
% 0.83/1.09 100 -one_to_one(A,B,C) | surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.83/1.09 Derived: -one_to_one(A,B,C) | -member(D,C) | member(f21(A,B,C,D),B). [resolve(100,b,97,a)].
% 0.83/1.09 Derived: -one_to_one(A,B,C) | -member(D,C) | apply(A,f21(A,B,C,D),D). [resolve(100,b,98,a)].
% 0.83/1.09 101 one_to_one(A,B,C) | -surjective(A,B,C) | member(f18(A,B,C),B). [resolve(95,b,87,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | member(f22(A,B,C),C). [resolve(101,b,96,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(101,b,99,a)].
% 0.83/1.09 102 one_to_one(A,B,C) | -surjective(A,B,C) | member(f19(A,B,C),B). [resolve(95,b,89,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | member(f19(A,B,C),B) | member(f22(A,B,C),C). [resolve(102,b,96,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | member(f19(A,B,C),B) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(102,b,99,a)].
% 0.83/1.09 103 one_to_one(A,B,C) | -surjective(A,B,C) | member(f20(A,B,C),C). [resolve(95,b,90,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | member(f20(A,B,C),C) | member(f22(A,B,C),C). [resolve(103,b,96,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | member(f20(A,B,C),C) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(103,b,99,a)].
% 0.83/1.09 104 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)). [resolve(95,b,91,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) | member(f22(A,B,C),C). [resolve(104,b,96,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(104,b,99,a)].
% 0.83/1.09 105 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(95,b,92,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) | member(f22(A,B,C),C). [resolve(105,b,96,a)].
% 0.83/1.09 Derived: one_to_one(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(105,b,99,a)].
% 0.83/1.10 106 one_to_one(A,B,C) | -surjective(A,B,C) | f19(A,B,C) != f18(A,B,C). [resolve(95,b,93,a)].
% 0.83/1.10 Derived: one_to_one(A,B,C) | f19(A,B,C) != f18(A,B,C) | member(f22(A,B,C),C). [resolve(106,b,96,a)].
% 0.83/1.10 Derived: one_to_one(A,B,C) | f19(A,B,C) != f18(A,B,C) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(106,b,99,a)].
% 0.83/1.10 107 inverse_predicate(A,B,C,D) | member(f23(A,B,C,D),C) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.10 108 -inverse_predicate(A,B,C,D) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.10 109 -inverse_predicate(A,B,C,D) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.10 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(107,a,108,a)].
% 0.83/1.10 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(107,a,109,a)].
% 0.83/1.10 110 inverse_predicate(A,B,C,D) | member(f24(A,B,C,D),D) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.10 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(110,a,108,a)].
% 0.83/1.10 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(110,a,109,a)].
% 0.83/1.10 111 inverse_predicate(A,B,C,D) | apply(B,f23(A,B,C,D),f24(A,B,C,D)) | apply(A,f24(A,B,C,D),f23(A,B,C,D)) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.10 Derived: apply(A,f23(B,A,C,D),f24(B,A,C,D)) | apply(B,f24(B,A,C,D),f23(B,A,C,D)) | -member(E,C) | -member(F,D) | -apply(A,E,F) | apply(B,F,E). [resolve(111,a,108,a)].
% 0.83/1.10 Derived: apply(A,f23(B,A,C,D),f24(B,A,C,D)) | apply(B,f24(B,A,C,D),f23(B,A,C,D)) | -member(E,C) | -member(F,D) | apply(A,E,F) | -apply(B,F,E). [resolve(111,a,109,a)].
% 0.83/1.10 112 inverse_predicate(A,B,C,D) | -apply(B,f23(A,B,C,D),f24(A,B,C,D)) | -apply(A,f24(A,B,C,D),f23(A,B,C,D)) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.10 Derived: -apply(A,f23(B,A,C,D),f24(B,A,C,D)) | -apply(B,f24(B,A,C,D),f23(B,A,C,D)) | -member(E,C) | -member(F,D) | -apply(A,E,F) | apply(B,F,E). [resolve(112,a,108,a)].
% 0.83/1.10 Derived: -apply(A,f23(B,A,C,D),f24(B,A,C,D)) | -apply(B,f24(B,A,C,D),f23(B,A,C,D)) | -member(E,C) | -member(F,D) | apply(A,E,F) | -apply(B,F,E). [resolve(112,a,109,a)].
% 0.83/1.10 113 increasing(A,B,C,D,E) | member(f29(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.10 114 -increasing(A,B,C,D,E) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V6,V8) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.10 Derived: member(f29(A,B,C,D,E),B) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V6,V8). [resolve(113,a,114,a)].
% 0.83/1.10 115 increasing(A,B,C,D,E) | member(f30(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.10 Derived: member(f30(A,B,C,D,E),D) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V6,V8). [resolve(115,a,114,a)].
% 0.83/1.10 116 increasing(A,B,C,D,E) | member(f31(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.10 Derived: member(f31(A,B,C,D,E),B) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V6,V8). [resolve(116,a,114,a)].
% 0.83/1.10 117 increasing(A,B,C,D,E) | member(f32(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.10 Derived: member(f32(A,B,C,D,E),D) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V6,V8). [resolve(117,a,114,a)].
% 0.83/1.10 118 increasing(A,B,C,D,E) | apply(C,f29(A,B,C,D,E),f31(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.10 Derived: apply(A,f29(B,C,A,D,E),f31(B,C,A,D,E)) | -member(F,C) | -member(V6,D) | -member(V7,C) | -member(V8,D) | -apply(A,F,V7) | -apply(B,F,V6) | -apply(B,V7,V8) | apply(E,V6,V8). [resolve(118,a,114,a)].
% 1.05/1.33 119 increasing(A,B,C,D,E) | apply(A,f29(A,B,C,D,E),f30(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(26)].
% 1.05/1.33 Derived: apply(A,f29(A,B,C,D,E),f30(A,B,C,D,E)) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V6,V8). [resolve(119,a,114,a)].
% 1.05/1.33 120 increasing(A,B,C,D,E) | apply(A,f31(A,B,C,D,E),f32(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(26)].
% 1.05/1.33 Derived: apply(A,f31(A,B,C,D,E),f32(A,B,C,D,E)) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V6,V8). [resolve(120,a,114,a)].
% 1.05/1.33 121 increasing(A,B,C,D,E) | -apply(E,f30(A,B,C,D,E),f32(A,B,C,D,E)) # label(increasing_function) # label(axiom). [clausify(26)].
% 1.05/1.33 Derived: -apply(A,f30(B,C,D,E,A),f32(B,C,D,E,A)) | -member(F,C) | -member(V6,E) | -member(V7,C) | -member(V8,E) | -apply(D,F,V7) | -apply(B,F,V6) | -apply(B,V7,V8) | apply(A,V6,V8). [resolve(121,a,114,a)].
% 1.05/1.33 122 decreasing(A,B,C,D,E) | member(f33(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 123 -decreasing(A,B,C,D,E) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V8,V6) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: member(f33(A,B,C,D,E),B) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V8,V6). [resolve(122,a,123,a)].
% 1.05/1.33 124 decreasing(A,B,C,D,E) | member(f34(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: member(f34(A,B,C,D,E),D) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V8,V6). [resolve(124,a,123,a)].
% 1.05/1.33 125 decreasing(A,B,C,D,E) | member(f35(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: member(f35(A,B,C,D,E),B) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V8,V6). [resolve(125,a,123,a)].
% 1.05/1.33 126 decreasing(A,B,C,D,E) | member(f36(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: member(f36(A,B,C,D,E),D) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V8,V6). [resolve(126,a,123,a)].
% 1.05/1.33 127 decreasing(A,B,C,D,E) | apply(C,f33(A,B,C,D,E),f35(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: apply(A,f33(B,C,A,D,E),f35(B,C,A,D,E)) | -member(F,C) | -member(V6,D) | -member(V7,C) | -member(V8,D) | -apply(A,F,V7) | -apply(B,F,V6) | -apply(B,V7,V8) | apply(E,V8,V6). [resolve(127,a,123,a)].
% 1.05/1.33 128 decreasing(A,B,C,D,E) | apply(A,f33(A,B,C,D,E),f34(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: apply(A,f33(A,B,C,D,E),f34(A,B,C,D,E)) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V8,V6). [resolve(128,a,123,a)].
% 1.05/1.33 129 decreasing(A,B,C,D,E) | apply(A,f35(A,B,C,D,E),f36(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: apply(A,f35(A,B,C,D,E),f36(A,B,C,D,E)) | -member(F,B) | -member(V6,D) | -member(V7,B) | -member(V8,D) | -apply(C,F,V7) | -apply(A,F,V6) | -apply(A,V7,V8) | apply(E,V8,V6). [resolve(129,a,123,a)].
% 1.05/1.33 130 decreasing(A,B,C,D,E) | -apply(E,f36(A,B,C,D,E),f34(A,B,C,D,E)) # label(decreasing_function) # label(axiom). [clausify(27)].
% 1.05/1.33 Derived: -apply(A,f36(B,C,D,E,A),f34(B,C,D,E,A)) | -member(F,C) | -member(V6,E) | -member(V7,C) | -member(V8,E) | -apply(D,F,V7) | -apply(B,F,V6) | -apply(B,V7,V8) | apply(A,V8,V6). [resolve(130,a,123,a)].
% 1.05/1.33
% 1.05/1.33 ============================== end predicate elimination =============
% 1.05/1.33
% 1.05/1.33 Auto_denials: (non-Horn, no changes).
% 1.05/1.33
% 1.05/1.33 Term ordering decisions:
% 1.05/1.33 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. f17=1. power_set=1. product=1. sum=1. singleton=1. image3=1. inverse_image3=1. inverse_function=1. f5=1. f6=1. f7=1. f8=1. f18=1. f19=1. f20=1. f22=1. f25=1. f27=1. f4=1. f14=1. f15=1. f16=1. f21=1. f23=1. f24=1. f26=1. f28=1. compose_function=1. f29=1. f30=1. f31=1. f32=1. f33=1. f34=1. f35=1. f36=1. f37=1. f38=1. f39=1. f40=1. f10=1. f11=1. f12=1. f13=1. f9=1.
% 2.68/2.94
% 2.68/2.94 ============================== end of process initial clauses ========
% 2.68/2.94
% 2.68/2.94 ============================== CLAUSES FOR SEARCH ====================
% 2.68/2.94
% 2.68/2.94 ============================== end of clauses for search =============
% 2.68/2.94
% 2.68/2.94 ============================== SEARCH ================================
% 2.68/2.94
% 2.68/2.94 % Starting search at 0.35 seconds.
% 2.68/2.94
% 2.68/2.94 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.45 sec).
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=66.000, iters=3981
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=56.000, iters=3843
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=50.000, iters=3756
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=45.000, iters=3559
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=44.000, iters=3526
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=43.000, iters=3745
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=42.000, iters=3678
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=40.000, iters=3524
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=39.000, iters=3484
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=38.000, iters=3441
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=36.000, iters=3865
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=35.000, iters=3778
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=30.000, iters=3494
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=28.000, iters=3354
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=26.000, iters=3352
% 2.68/2.94
% 2.68/2.94 Low Water (keep): wt=19.000, iters=3351
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6440, wt=198.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6608, wt=193.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6446, wt=186.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6445, wt=182.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6633, wt=177.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6631, wt=176.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6627, wt=173.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6639, wt=169.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7760, wt=167.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6439, wt=166.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6610, wt=165.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6437, wt=162.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6617, wt=161.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6562, wt=159.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6607, wt=158.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6609, wt=157.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6581, wt=155.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6630, wt=153.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6431, wt=151.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6680, wt=150.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6679, wt=146.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6577, wt=145.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6582, wt=144.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6601, wt=143.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6612, wt=141.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6587, wt=137.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7780, wt=136.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6681, wt=134.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7782, wt=133.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6690, wt=130.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7785, wt=127.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6689, wt=126.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6432, wt=125.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7789, wt=124.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=5794, wt=121.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6583, wt=118.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6624, wt=117.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6170, wt=116.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6628, wt=113.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7791, wt=112.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6691, wt=110.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6588, wt=109.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6697, wt=108.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6695, wt=107.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7186, wt=106.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6625, wt=105.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6703, wt=104.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7558, wt=103.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=5804, wt=102.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6629, wt=101.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7562, wt=100.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6674, wt=99.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=6173, wt=98.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7751, wt=97.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7546, wt=96.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7566, wt=95.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7563, wt=94.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7547, wt=93.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7793, wt=92.000
% 2.68/2.94
% 2.68/2.94 Low Water (displace): id=7565, wt=91.0Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------