TSTP Solution File: SET735+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET735+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 04:31:44 EDT 2022
% Result : Timeout 300.03s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET735+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 22:13:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.01 ============================== Prover9 ===============================
% 0.41/1.01 Prover9 (32) version 2009-11A, November 2009.
% 0.41/1.01 Process 14250 was started by sandbox2 on n018.cluster.edu,
% 0.41/1.01 Sun Jul 10 22:13:29 2022
% 0.41/1.01 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14096_n018.cluster.edu".
% 0.41/1.01 ============================== end of head ===========================
% 0.41/1.01
% 0.41/1.01 ============================== INPUT =================================
% 0.41/1.01
% 0.41/1.01 % Reading from file /tmp/Prover9_14096_n018.cluster.edu
% 0.41/1.01
% 0.41/1.01 set(prolog_style_variables).
% 0.41/1.01 set(auto2).
% 0.41/1.01 % set(auto2) -> set(auto).
% 0.41/1.01 % set(auto) -> set(auto_inference).
% 0.41/1.01 % set(auto) -> set(auto_setup).
% 0.41/1.01 % set(auto_setup) -> set(predicate_elim).
% 0.41/1.01 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/1.01 % set(auto) -> set(auto_limits).
% 0.41/1.01 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/1.01 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/1.01 % set(auto) -> set(auto_denials).
% 0.41/1.01 % set(auto) -> set(auto_process).
% 0.41/1.01 % set(auto2) -> assign(new_constants, 1).
% 0.41/1.01 % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/1.01 % set(auto2) -> assign(max_weight, "200.000").
% 0.41/1.01 % set(auto2) -> assign(max_hours, 1).
% 0.41/1.01 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/1.01 % set(auto2) -> assign(max_seconds, 0).
% 0.41/1.01 % set(auto2) -> assign(max_minutes, 5).
% 0.41/1.01 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/1.01 % set(auto2) -> set(sort_initial_sos).
% 0.41/1.01 % set(auto2) -> assign(sos_limit, -1).
% 0.41/1.01 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/1.01 % set(auto2) -> assign(max_megs, 400).
% 0.41/1.01 % set(auto2) -> assign(stats, some).
% 0.41/1.01 % set(auto2) -> clear(echo_input).
% 0.41/1.01 % set(auto2) -> set(quiet).
% 0.41/1.01 % set(auto2) -> clear(print_initial_clauses).
% 0.41/1.01 % set(auto2) -> clear(print_given).
% 0.41/1.01 assign(lrs_ticks,-1).
% 0.41/1.01 assign(sos_limit,10000).
% 0.41/1.01 assign(order,kbo).
% 0.41/1.01 set(lex_order_vars).
% 0.41/1.01 clear(print_given).
% 0.41/1.01
% 0.41/1.01 % formulas(sos). % not echoed (29 formulas)
% 0.41/1.01
% 0.41/1.01 ============================== end of input ==========================
% 0.41/1.01
% 0.41/1.01 % From the command line: assign(max_seconds, 300).
% 0.41/1.01
% 0.41/1.01 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/1.01
% 0.41/1.01 % Formulas that are not ordinary clauses:
% 0.41/1.01 1 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.01 2 (all A all B (equal_set(A,B) <-> subset(A,B) & subset(B,A))) # label(equal_set) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.01 3 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 6 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.01 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].
% 0.41/1.01 8 (all X all A (member(X,singleton(A)) <-> X = A)) # label(singleton) # label(axiom) # label(non_clause). [assumption].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 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].
% 0.41/1.01 29 -(all F1 all F2 all G all A all B (maps(F1,A,B) & maps(F2,A,B) & maps(G,B,A) & identity(compose_function(G,F1,A,B,A),A) & identity(compose_function(G,F2,A,B,A),A) & equal_set(image3(F1,A,B),image3(F2,A,B)) -> equal_maps(F1,F2,A,B))) # label(thII26) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.41/1.01
% 0.41/1.01 ============================== end of process non-clausal formulas ===
% 0.41/1.01
% 0.41/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/1.01
% 0.41/1.01 ============================== PREDICATE ELIMINATION =================
% 0.41/1.01 30 equal_set(A,B) | -subset(A,B) | -subset(B,A) # label(equal_set) # label(axiom). [clausify(2)].
% 0.41/1.01 31 -equal_set(A,B) | subset(A,B) # label(equal_set) # label(axiom). [clausify(2)].
% 0.41/1.01 32 -equal_set(A,B) | subset(B,A) # label(equal_set) # label(axiom). [clausify(2)].
% 0.74/1.02 33 equal_set(image3(c1,c4,c5),image3(c2,c4,c5)) # label(thII26) # label(negated_conjecture). [clausify(29)].
% 0.74/1.02 Derived: subset(image3(c1,c4,c5),image3(c2,c4,c5)). [resolve(33,a,31,a)].
% 0.74/1.02 Derived: subset(image3(c2,c4,c5),image3(c1,c4,c5)). [resolve(33,a,32,a)].
% 0.74/1.02 34 subset(A,B) | member(f1(A,B),A) # label(subset) # label(axiom). [clausify(1)].
% 0.74/1.02 35 -subset(A,B) | -member(C,A) | member(C,B) # label(subset) # label(axiom). [clausify(1)].
% 0.74/1.02 Derived: member(f1(A,B),A) | -member(C,A) | member(C,B). [resolve(34,a,35,a)].
% 0.74/1.02 36 subset(A,B) | -member(f1(A,B),B) # label(subset) # label(axiom). [clausify(1)].
% 0.74/1.02 Derived: -member(f1(A,B),B) | -member(C,A) | member(C,B). [resolve(36,a,35,a)].
% 0.74/1.02 37 -member(A,power_set(B)) | subset(A,B) # label(power_set) # label(axiom). [clausify(3)].
% 0.74/1.02 Derived: -member(A,power_set(B)) | -member(C,A) | member(C,B). [resolve(37,b,35,a)].
% 0.74/1.02 38 member(A,power_set(B)) | -subset(A,B) # label(power_set) # label(axiom). [clausify(3)].
% 0.74/1.02 Derived: member(A,power_set(B)) | member(f1(A,B),A). [resolve(38,b,34,a)].
% 0.74/1.02 Derived: member(A,power_set(B)) | -member(f1(A,B),B). [resolve(38,b,36,a)].
% 0.74/1.02 39 subset(image3(c1,c4,c5),image3(c2,c4,c5)). [resolve(33,a,31,a)].
% 0.74/1.02 Derived: -member(A,image3(c1,c4,c5)) | member(A,image3(c2,c4,c5)). [resolve(39,a,35,a)].
% 0.74/1.02 Derived: member(image3(c1,c4,c5),power_set(image3(c2,c4,c5))). [resolve(39,a,38,b)].
% 0.74/1.02 40 subset(image3(c2,c4,c5),image3(c1,c4,c5)). [resolve(33,a,32,a)].
% 0.74/1.02 Derived: -member(A,image3(c2,c4,c5)) | member(A,image3(c1,c4,c5)). [resolve(40,a,35,a)].
% 0.74/1.02 Derived: member(image3(c2,c4,c5),power_set(image3(c1,c4,c5))). [resolve(40,a,38,b)].
% 0.74/1.02 41 maps(A,B,C) | member(f5(A,B,C),B) | member(f6(A,B,C),B) # label(maps) # label(axiom). [clausify(12)].
% 0.74/1.02 42 -maps(A,B,C) | -member(D,B) | member(f4(A,B,C,D),C) # label(maps) # label(axiom). [clausify(12)].
% 0.74/1.02 43 -maps(A,B,C) | -member(D,B) | apply(A,D,f4(A,B,C,D)) # label(maps) # label(axiom). [clausify(12)].
% 0.74/1.02 44 -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)].
% 0.74/1.02 Derived: member(f5(A,B,C),B) | member(f6(A,B,C),B) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(41,a,42,a)].
% 0.74/1.02 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(41,a,43,a)].
% 0.74/1.02 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(41,a,44,a)].
% 0.74/1.02 45 maps(A,B,C) | member(f5(A,B,C),B) | member(f7(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.74/1.02 Derived: member(f5(A,B,C),B) | member(f7(A,B,C),C) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(45,a,42,a)].
% 0.74/1.02 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(45,a,43,a)].
% 0.74/1.02 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(45,a,44,a)].
% 0.74/1.02 46 maps(A,B,C) | member(f5(A,B,C),B) | member(f8(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.74/1.02 Derived: member(f5(A,B,C),B) | member(f8(A,B,C),C) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(46,a,42,a)].
% 0.74/1.02 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(46,a,43,a)].
% 0.74/1.02 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(46,a,44,a)].
% 0.74/1.02 47 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)].
% 0.74/1.02 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(47,a,42,a)].
% 0.74/1.02 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(47,a,43,a)].
% 0.74/1.02 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(47,a,44,a)].
% 0.74/1.02 48 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)].
% 0.74/1.02 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(48,a,42,a)].
% 0.74/1.02 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(48,a,43,a)].
% 0.74/1.02 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(48,a,44,a)].
% 0.74/1.02 49 maps(A,B,C) | member(f5(A,B,C),B) | f8(A,B,C) != f7(A,B,C) # label(maps) # label(axiom). [clausify(12)].
% 0.74/1.02 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(49,a,42,a)].
% 0.74/1.02 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(49,a,43,a)].
% 0.74/1.02 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(49,a,44,a)].
% 0.74/1.02 50 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)].
% 0.74/1.02 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(50,a,42,a)].
% 0.74/1.02 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(50,a,43,a)].
% 0.74/1.02 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(50,a,44,a)].
% 0.74/1.02 51 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)].
% 0.74/1.02 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(51,a,42,a)].
% 0.74/1.02 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(51,a,43,a)].
% 0.74/1.02 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(51,a,44,a)].
% 0.74/1.02 52 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)].
% 0.74/1.02 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(52,a,42,a)].
% 0.74/1.02 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(52,a,43,a)].
% 0.74/1.02 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(52,a,44,a)].
% 0.74/1.02 53 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)].
% 0.74/1.02 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(53,a,42,a)].
% 0.74/1.02 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(53,a,43,a)].
% 0.74/1.02 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(53,a,44,a)].
% 0.74/1.02 54 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)].
% 0.74/1.02 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(54,a,42,a)].
% 0.74/1.02 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(54,a,43,a)].
% 0.74/1.02 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(54,a,44,a)].
% 0.74/1.02 55 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)].
% 0.74/1.02 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(55,a,42,a)].
% 0.74/1.02 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(55,a,43,a)].
% 0.74/1.02 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(55,a,44,a)].
% 0.74/1.02 56 -isomorphism(A,B,C,D,E) | maps(A,B,D) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.74/1.02 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f4(A,B,D,F),D). [resolve(56,b,42,a)].
% 0.74/1.02 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f4(A,B,D,F)). [resolve(56,b,43,a)].
% 0.74/1.02 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(56,b,44,a)].
% 0.74/1.02 57 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)].
% 0.74/1.02 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(57,b,41,a)].
% 0.74/1.02 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(57,b,45,a)].
% 0.74/1.02 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(57,b,46,a)].
% 0.74/1.02 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(57,b,47,a)].
% 0.74/1.02 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(57,b,48,a)].
% 0.74/1.02 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(57,b,49,a)].
% 0.74/1.02 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(57,b,50,a)].
% 0.74/1.02 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(57,b,51,a)].
% 0.74/1.02 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(57,b,52,a)].
% 0.74/1.02 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(57,b,53,a)].
% 0.74/1.02 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(57,b,54,a)].
% 0.74/1.02 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(57,b,55,a)].
% 0.74/1.02 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(57,b,56,b)].
% 0.74/1.02 58 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)].
% 0.74/1.02 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(58,b,41,a)].
% 0.74/1.02 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(58,b,45,a)].
% 0.74/1.02 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(58,b,46,a)].
% 0.74/1.02 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(58,b,47,a)].
% 0.74/1.02 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(58,b,48,a)].
% 0.74/1.02 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(58,b,49,a)].
% 0.74/1.02 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(58,b,50,a)].
% 0.74/1.03 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(58,b,51,a)].
% 0.74/1.03 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(58,b,52,a)].
% 0.74/1.03 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(58,b,53,a)].
% 0.74/1.03 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(58,b,54,a)].
% 0.74/1.03 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(58,b,55,a)].
% 0.74/1.03 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(58,b,56,b)].
% 0.74/1.03 59 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)].
% 0.74/1.03 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(59,b,41,a)].
% 0.74/1.03 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(59,b,45,a)].
% 0.74/1.03 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(59,b,46,a)].
% 0.74/1.03 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(59,b,47,a)].
% 0.74/1.03 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(59,b,48,a)].
% 0.74/1.03 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(59,b,49,a)].
% 0.74/1.03 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(59,b,50,a)].
% 0.74/1.03 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(59,b,51,a)].
% 0.74/1.03 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(59,b,52,a)].
% 0.74/1.03 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(59,b,53,a)].
% 0.74/1.03 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(59,b,54,a)].
% 0.74/1.03 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(59,b,55,a)].
% 0.74/1.03 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(59,b,56,b)].
% 0.74/1.03 60 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)].
% 0.74/1.03 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(60,b,41,a)].
% 0.74/1.03 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(60,b,45,a)].
% 0.74/1.03 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(60,b,46,a)].
% 0.74/1.03 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(60,b,47,a)].
% 0.74/1.03 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(60,b,48,a)].
% 0.74/1.03 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(60,b,49,a)].
% 0.74/1.03 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(60,b,50,a)].
% 0.74/1.03 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(60,b,51,a)].
% 0.74/1.03 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(60,b,52,a)].
% 0.74/1.03 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(60,b,53,a)].
% 0.74/1.03 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(60,b,54,a)].
% 0.74/1.03 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(60,b,55,a)].
% 0.74/1.03 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(60,b,56,b)].
% 0.74/1.03 61 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)].
% 0.74/1.03 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(61,b,41,a)].
% 0.74/1.03 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(61,b,45,a)].
% 0.74/1.03 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(61,b,46,a)].
% 0.74/1.03 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(61,b,47,a)].
% 0.74/1.03 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(61,b,48,a)].
% 0.74/1.03 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(61,b,49,a)].
% 0.74/1.03 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(61,b,50,a)].
% 0.74/1.03 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(61,b,51,a)].
% 0.74/1.03 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(61,b,52,a)].
% 0.74/1.03 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(61,b,53,a)].
% 0.74/1.03 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(61,b,54,a)].
% 0.74/1.03 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(61,b,55,a)].
% 0.74/1.03 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(61,b,56,b)].
% 0.74/1.03 62 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)].
% 0.74/1.03 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(62,b,41,a)].
% 0.74/1.03 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(62,b,45,a)].
% 0.74/1.03 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(62,b,46,a)].
% 0.74/1.03 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(62,b,47,a)].
% 0.74/1.03 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(62,b,48,a)].
% 0.74/1.03 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(62,b,49,a)].
% 0.74/1.03 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(62,b,50,a)].
% 0.74/1.03 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(62,b,51,a)].
% 0.74/1.03 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(62,b,52,a)].
% 0.74/1.03 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(62,b,53,a)].
% 0.74/1.03 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(62,b,54,a)].
% 0.74/1.03 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(62,b,55,a)].
% 0.74/1.03 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(62,b,56,b)].
% 0.74/1.03 63 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)].
% 0.74/1.03 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(63,b,41,a)].
% 0.74/1.03 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(63,b,45,a)].
% 0.74/1.03 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(63,b,46,a)].
% 0.74/1.03 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(63,b,47,a)].
% 0.74/1.03 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(63,b,48,a)].
% 0.74/1.03 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(63,b,49,a)].
% 0.74/1.03 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(63,b,50,a)].
% 0.74/1.03 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(63,b,51,a)].
% 0.74/1.03 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(63,b,52,a)].
% 0.74/1.03 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(63,b,53,a)].
% 0.74/1.03 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(63,b,54,a)].
% 0.74/1.03 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(63,b,55,a)].
% 0.74/1.03 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(63,b,56,b)].
% 0.74/1.03 64 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)].
% 0.74/1.03 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(64,b,41,a)].
% 0.74/1.03 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(64,b,45,a)].
% 0.74/1.03 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(64,b,46,a)].
% 0.74/1.03 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(64,b,47,a)].
% 0.74/1.03 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(64,b,48,a)].
% 0.74/1.03 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(64,b,49,a)].
% 0.74/1.03 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(64,b,50,a)].
% 0.74/1.03 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(64,b,51,a)].
% 0.74/1.03 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(64,b,52,a)].
% 0.74/1.03 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(64,b,53,a)].
% 0.74/1.03 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(64,b,54,a)].
% 0.74/1.03 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(64,b,55,a)].
% 0.74/1.03 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(64,b,56,b)].
% 0.74/1.03 65 maps(c1,c4,c5) # label(thII26) # label(negated_conjecture). [clausify(29)].
% 0.74/1.03 Derived: -member(A,c4) | member(f4(c1,c4,c5,A),c5). [resolve(65,a,42,a)].
% 0.74/1.03 Derived: -member(A,c4) | apply(c1,A,f4(c1,c4,c5,A)). [resolve(65,a,43,a)].
% 0.74/1.04 Derived: -member(A,c4) | -member(B,c5) | -member(C,c5) | -apply(c1,A,B) | -apply(c1,A,C) | C = B. [resolve(65,a,44,a)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | member(f37(c1,c4,A,c5,B),c4). [resolve(65,a,57,b)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | member(f38(c1,c4,A,c5,B),c5). [resolve(65,a,58,b)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | member(f39(c1,c4,A,c5,B),c4). [resolve(65,a,59,b)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | member(f40(c1,c4,A,c5,B),c5). [resolve(65,a,60,b)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | apply(c1,f37(c1,c4,A,c5,B),f38(c1,c4,A,c5,B)). [resolve(65,a,61,b)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | apply(c1,f39(c1,c4,A,c5,B),f40(c1,c4,A,c5,B)). [resolve(65,a,62,b)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | apply(A,f37(c1,c4,A,c5,B),f39(c1,c4,A,c5,B)) | apply(B,f38(c1,c4,A,c5,B),f40(c1,c4,A,c5,B)). [resolve(65,a,63,b)].
% 0.74/1.04 Derived: isomorphism(c1,c4,A,c5,B) | -one_to_one(c1,c4,c5) | -apply(A,f37(c1,c4,A,c5,B),f39(c1,c4,A,c5,B)) | -apply(B,f38(c1,c4,A,c5,B),f40(c1,c4,A,c5,B)). [resolve(65,a,64,b)].
% 0.74/1.04 66 maps(c2,c4,c5) # label(thII26) # label(negated_conjecture). [clausify(29)].
% 0.74/1.04 Derived: -member(A,c4) | member(f4(c2,c4,c5,A),c5). [resolve(66,a,42,a)].
% 0.74/1.04 Derived: -member(A,c4) | apply(c2,A,f4(c2,c4,c5,A)). [resolve(66,a,43,a)].
% 0.74/1.04 Derived: -member(A,c4) | -member(B,c5) | -member(C,c5) | -apply(c2,A,B) | -apply(c2,A,C) | C = B. [resolve(66,a,44,a)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | member(f37(c2,c4,A,c5,B),c4). [resolve(66,a,57,b)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | member(f38(c2,c4,A,c5,B),c5). [resolve(66,a,58,b)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | member(f39(c2,c4,A,c5,B),c4). [resolve(66,a,59,b)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | member(f40(c2,c4,A,c5,B),c5). [resolve(66,a,60,b)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | apply(c2,f37(c2,c4,A,c5,B),f38(c2,c4,A,c5,B)). [resolve(66,a,61,b)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | apply(c2,f39(c2,c4,A,c5,B),f40(c2,c4,A,c5,B)). [resolve(66,a,62,b)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | apply(A,f37(c2,c4,A,c5,B),f39(c2,c4,A,c5,B)) | apply(B,f38(c2,c4,A,c5,B),f40(c2,c4,A,c5,B)). [resolve(66,a,63,b)].
% 0.74/1.04 Derived: isomorphism(c2,c4,A,c5,B) | -one_to_one(c2,c4,c5) | -apply(A,f37(c2,c4,A,c5,B),f39(c2,c4,A,c5,B)) | -apply(B,f38(c2,c4,A,c5,B),f40(c2,c4,A,c5,B)). [resolve(66,a,64,b)].
% 0.74/1.04 67 maps(c3,c5,c4) # label(thII26) # label(negated_conjecture). [clausify(29)].
% 0.74/1.04 Derived: -member(A,c5) | member(f4(c3,c5,c4,A),c4). [resolve(67,a,42,a)].
% 0.74/1.04 Derived: -member(A,c5) | apply(c3,A,f4(c3,c5,c4,A)). [resolve(67,a,43,a)].
% 0.74/1.04 Derived: -member(A,c5) | -member(B,c4) | -member(C,c4) | -apply(c3,A,B) | -apply(c3,A,C) | C = B. [resolve(67,a,44,a)].
% 0.74/1.04 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f37(c3,c5,A,c4,B),c5). [resolve(67,a,57,b)].
% 0.74/1.04 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f38(c3,c5,A,c4,B),c4). [resolve(67,a,58,b)].
% 0.74/1.04 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f39(c3,c5,A,c4,B),c5). [resolve(67,a,59,b)].
% 0.74/1.04 Derived: isomorphism(c3,c5,A,c4,B) | -one_to_one(c3,c5,c4) | member(f40(c3,c5,A,c4,B),c4). [resolve(67,a,60,b)].
% 0.74/1.04 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(67,a,61,b)].
% 0.74/1.04 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(67,a,62,b)].
% 0.74/1.04 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(67,a,63,b)].
% 0.74/1.04 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(67,a,64,b)].
% 0.74/1.05 68 compose_predicate(A,B,C,D,E,F) | member(f10(A,B,C,D,E,F),D) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.05 69 -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)].
% 0.74/1.05 70 -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)].
% 0.74/1.05 71 -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)].
% 0.74/1.05 72 -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)].
% 0.74/1.05 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(68,a,69,a)].
% 0.74/1.05 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(68,a,70,a)].
% 0.74/1.05 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(68,a,71,a)].
% 0.74/1.05 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(68,a,72,a)].
% 0.74/1.05 73 compose_predicate(A,B,C,D,E,F) | member(f11(A,B,C,D,E,F),F) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.05 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(73,a,69,a)].
% 0.74/1.05 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(73,a,70,a)].
% 0.74/1.05 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(73,a,71,a)].
% 0.74/1.05 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(73,a,72,a)].
% 0.74/1.05 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(f12(A,B,C,D,E,F),E) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.74/1.05 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(74,a,69,a)].
% 0.74/1.05 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(74,a,70,a)].
% 0.74/1.05 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(74,a,71,a)].
% 0.74/1.05 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(74,a,72,a)].
% 0.74/1.05 75 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)].
% 0.74/1.05 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(75,a,69,a)].
% 0.74/1.05 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(75,a,70,a)].
% 0.74/1.05 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(75,a,71,a)].
% 0.74/1.05 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(75,a,72,a)].
% 0.74/1.08 76 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)].
% 0.74/1.08 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(76,a,69,a)].
% 0.74/1.08 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(76,a,70,a)].
% 0.74/1.08 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(76,a,71,a)].
% 0.74/1.08 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(76,a,72,a)].
% 0.74/1.08 77 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)].
% 0.74/1.08 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(77,a,69,a)].
% 0.74/1.08 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(77,a,70,a)].
% 0.74/1.08 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(77,a,71,a)].
% 0.74/1.08 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(77,a,72,a)].
% 0.74/1.08 78 identity(A,B) | member(f17(A,B),B) # label(identity) # label(axiom). [clausify(16)].
% 0.74/1.08 79 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(16)].
% 0.74/1.08 Derived: member(f17(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(78,a,79,a)].
% 0.74/1.08 80 identity(A,B) | -apply(A,f17(A,B),f17(A,B)) # label(identity) # label(axiom). [clausify(16)].
% 0.74/1.08 Derived: -apply(A,f17(A,B),f17(A,B)) | -member(C,B) | apply(A,C,C). [resolve(80,a,79,a)].
% 0.74/1.08 81 identity(compose_function(c3,c1,c4,c5,c4),c4) # label(thII26) # label(negated_conjecture). [clausify(29)].
% 0.74/1.08 Derived: -member(A,c4) | apply(compose_function(c3,c1,c4,c5,c4),A,A). [resolve(81,a,79,a)].
% 0.74/1.08 82 identity(compose_function(c3,c2,c4,c5,c4),c4) # label(thII26) # label(negated_conjecture). [clausify(29)].
% 0.74/1.08 Derived: -member(A,c4) | apply(compose_function(c3,c2,c4,c5,c4),A,A). [resolve(82,a,79,a)].
% 0.74/1.08 83 injective(A,B,C) | member(f18(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.08 84 -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)].
% 0.74/1.08 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(83,a,84,a)].
% 0.74/1.08 85 injective(A,B,C) | member(f19(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.08 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(85,a,84,a)].
% 0.74/1.08 86 injective(A,B,C) | member(f20(A,B,C),C) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.08 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(86,a,84,a)].
% 0.74/1.08 87 injective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.10 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(87,a,84,a)].
% 0.74/1.10 88 injective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.10 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(88,a,84,a)].
% 0.74/1.10 89 injective(A,B,C) | f19(A,B,C) != f18(A,B,C) # label(injective) # label(axiom). [clausify(17)].
% 0.74/1.10 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(89,a,84,a)].
% 0.74/1.10 90 -one_to_one(A,B,C) | injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.74/1.10 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(90,b,84,a)].
% 0.74/1.10 91 one_to_one(A,B,C) | -injective(A,B,C) | -surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f18(A,B,C),B). [resolve(91,b,83,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f19(A,B,C),B). [resolve(91,b,85,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f20(A,B,C),C). [resolve(91,b,86,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)). [resolve(91,b,87,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(91,b,88,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | f19(A,B,C) != f18(A,B,C). [resolve(91,b,89,a)].
% 0.74/1.10 92 surjective(A,B,C) | member(f22(A,B,C),C) # label(surjective) # label(axiom). [clausify(18)].
% 0.74/1.10 93 -surjective(A,B,C) | -member(D,C) | member(f21(A,B,C,D),B) # label(surjective) # label(axiom). [clausify(18)].
% 0.74/1.10 94 -surjective(A,B,C) | -member(D,C) | apply(A,f21(A,B,C,D),D) # label(surjective) # label(axiom). [clausify(18)].
% 0.74/1.10 Derived: member(f22(A,B,C),C) | -member(D,C) | member(f21(A,B,C,D),B). [resolve(92,a,93,a)].
% 0.74/1.10 Derived: member(f22(A,B,C),C) | -member(D,C) | apply(A,f21(A,B,C,D),D). [resolve(92,a,94,a)].
% 0.74/1.10 95 surjective(A,B,C) | -member(D,B) | -apply(A,D,f22(A,B,C)) # label(surjective) # label(axiom). [clausify(18)].
% 0.74/1.10 Derived: -member(A,B) | -apply(C,A,f22(C,B,D)) | -member(E,D) | member(f21(C,B,D,E),B). [resolve(95,a,93,a)].
% 0.74/1.10 Derived: -member(A,B) | -apply(C,A,f22(C,B,D)) | -member(E,D) | apply(C,f21(C,B,D,E),E). [resolve(95,a,94,a)].
% 0.74/1.10 96 -one_to_one(A,B,C) | surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.74/1.10 Derived: -one_to_one(A,B,C) | -member(D,C) | member(f21(A,B,C,D),B). [resolve(96,b,93,a)].
% 0.74/1.10 Derived: -one_to_one(A,B,C) | -member(D,C) | apply(A,f21(A,B,C,D),D). [resolve(96,b,94,a)].
% 0.74/1.10 97 one_to_one(A,B,C) | -surjective(A,B,C) | member(f18(A,B,C),B). [resolve(91,b,83,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | member(f22(A,B,C),C). [resolve(97,b,92,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(97,b,95,a)].
% 0.74/1.10 98 one_to_one(A,B,C) | -surjective(A,B,C) | member(f19(A,B,C),B). [resolve(91,b,85,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | member(f19(A,B,C),B) | member(f22(A,B,C),C). [resolve(98,b,92,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | member(f19(A,B,C),B) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(98,b,95,a)].
% 0.74/1.10 99 one_to_one(A,B,C) | -surjective(A,B,C) | member(f20(A,B,C),C). [resolve(91,b,86,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | member(f20(A,B,C),C) | member(f22(A,B,C),C). [resolve(99,b,92,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | member(f20(A,B,C),C) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(99,b,95,a)].
% 0.74/1.10 100 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)). [resolve(91,b,87,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) | member(f22(A,B,C),C). [resolve(100,b,92,a)].
% 0.74/1.10 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(100,b,95,a)].
% 0.74/1.10 101 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(91,b,88,a)].
% 0.74/1.10 Derived: one_to_one(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) | member(f22(A,B,C),C). [resolve(101,b,92,a)].
% 0.74/1.12 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(101,b,95,a)].
% 0.74/1.12 102 one_to_one(A,B,C) | -surjective(A,B,C) | f19(A,B,C) != f18(A,B,C). [resolve(91,b,89,a)].
% 0.74/1.12 Derived: one_to_one(A,B,C) | f19(A,B,C) != f18(A,B,C) | member(f22(A,B,C),C). [resolve(102,b,92,a)].
% 0.74/1.12 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(102,b,95,a)].
% 0.74/1.12 103 inverse_predicate(A,B,C,D) | member(f23(A,B,C,D),C) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.74/1.12 104 -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)].
% 0.74/1.12 105 -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)].
% 0.74/1.12 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(103,a,104,a)].
% 0.74/1.12 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(103,a,105,a)].
% 0.74/1.12 106 inverse_predicate(A,B,C,D) | member(f24(A,B,C,D),D) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.74/1.12 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(106,a,104,a)].
% 0.74/1.12 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(106,a,105,a)].
% 0.74/1.12 107 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)].
% 0.74/1.12 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(107,a,104,a)].
% 0.74/1.12 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(107,a,105,a)].
% 0.74/1.12 108 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)].
% 0.74/1.12 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(108,a,104,a)].
% 0.74/1.12 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(108,a,105,a)].
% 0.74/1.12 109 increasing(A,B,C,D,E) | member(f29(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.74/1.12 110 -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)].
% 0.74/1.12 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(109,a,110,a)].
% 0.74/1.12 111 increasing(A,B,C,D,E) | member(f30(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.74/1.12 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(111,a,110,a)].
% 0.74/1.12 112 increasing(A,B,C,D,E) | member(f31(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.74/1.12 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(112,a,110,a)].
% 0.74/1.12 113 increasing(A,B,C,D,E) | member(f32(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.74/1.12 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(113,a,110,a)].
% 0.74/1.12 114 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)].
% 0.74/1.14 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(114,a,110,a)].
% 0.74/1.14 115 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)].
% 0.74/1.14 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(115,a,110,a)].
% 0.74/1.14 116 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)].
% 0.74/1.14 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(116,a,110,a)].
% 0.74/1.14 117 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)].
% 0.74/1.14 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(117,a,110,a)].
% 0.74/1.14 118 decreasing(A,B,C,D,E) | member(f33(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.74/1.14 119 -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)].
% 0.74/1.14 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(118,a,119,a)].
% 0.74/1.14 120 decreasing(A,B,C,D,E) | member(f34(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.74/1.14 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(120,a,119,a)].
% 0.74/1.14 121 decreasing(A,B,C,D,E) | member(f35(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.74/1.14 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(121,a,119,a)].
% 0.74/1.14 122 decreasing(A,B,C,D,E) | member(f36(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.74/1.14 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(122,a,119,a)].
% 0.74/1.14 123 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)].
% 0.74/1.14 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(123,a,119,a)].
% 0.74/1.14 124 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)].
% 0.74/1.14 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(124,a,119,a)].
% 0.74/1.14 125 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)].
% 0.74/1.14 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(125,a,119,a)].
% 0.74/1.14 126 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)].
% 0.74/1.14 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(126,a,119,a)].
% 0.74/1.14
% 0.74/1.14 ============================== end predicate eliminatioCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------