TSTP Solution File: SET752+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET752+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n005.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 04:31:51 EDT 2022
% Result : Timeout 300.03s 300.26s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET752+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 14:52:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.47/1.03 ============================== Prover9 ===============================
% 0.47/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.47/1.03 Process 21167 was started by sandbox2 on n005.cluster.edu,
% 0.47/1.03 Sun Jul 10 14:52:07 2022
% 0.47/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_21012_n005.cluster.edu".
% 0.47/1.03 ============================== end of head ===========================
% 0.47/1.03
% 0.47/1.03 ============================== INPUT =================================
% 0.47/1.03
% 0.47/1.03 % Reading from file /tmp/Prover9_21012_n005.cluster.edu
% 0.47/1.03
% 0.47/1.03 set(prolog_style_variables).
% 0.47/1.03 set(auto2).
% 0.47/1.03 % set(auto2) -> set(auto).
% 0.47/1.03 % set(auto) -> set(auto_inference).
% 0.47/1.03 % set(auto) -> set(auto_setup).
% 0.47/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.47/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.47/1.03 % set(auto) -> set(auto_limits).
% 0.47/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.47/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.47/1.03 % set(auto) -> set(auto_denials).
% 0.47/1.03 % set(auto) -> set(auto_process).
% 0.47/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.47/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.47/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.47/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.47/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.47/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.47/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.47/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.47/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.47/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.47/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.47/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.47/1.03 % set(auto2) -> assign(stats, some).
% 0.47/1.03 % set(auto2) -> clear(echo_input).
% 0.47/1.03 % set(auto2) -> set(quiet).
% 0.47/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.47/1.03 % set(auto2) -> clear(print_given).
% 0.47/1.03 assign(lrs_ticks,-1).
% 0.47/1.03 assign(sos_limit,10000).
% 0.47/1.03 assign(order,kbo).
% 0.47/1.03 set(lex_order_vars).
% 0.47/1.03 clear(print_given).
% 0.47/1.03
% 0.47/1.03 % formulas(sos). % not echoed (29 formulas)
% 0.47/1.03
% 0.47/1.03 ============================== end of input ==========================
% 0.47/1.03
% 0.47/1.03 % From the command line: assign(max_seconds, 300).
% 0.47/1.03
% 0.47/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.47/1.03
% 0.47/1.03 % Formulas that are not ordinary clauses:
% 0.47/1.03 1 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.03 2 (all A all B (equal_set(A,B) <-> subset(A,B) & subset(B,A))) # label(equal_set) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.03 3 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 6 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.03 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].
% 0.47/1.03 8 (all X all A (member(X,singleton(A)) <-> X = A)) # label(singleton) # label(axiom) # label(non_clause). [assumption].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 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].
% 0.47/1.03 29 -(all F all A all B all X all Y (maps(F,A,B) & subset(X,A) & subset(Y,A) -> equal_set(image2(F,union(X,Y)),union(image2(F,X),image2(F,Y))))) # label(thIIa02) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.47/1.03
% 0.47/1.03 ============================== end of process non-clausal formulas ===
% 0.47/1.03
% 0.47/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.47/1.03
% 0.47/1.03 ============================== PREDICATE ELIMINATION =================
% 0.47/1.03 30 maps(A,B,C) | member(f5(A,B,C),B) | member(f6(A,B,C),B) # label(maps) # label(axiom). [clausify(12)].
% 0.47/1.03 31 -maps(A,B,C) | -member(D,B) | member(f4(A,B,C,D),C) # label(maps) # label(axiom). [clausify(12)].
% 0.47/1.03 32 -maps(A,B,C) | -member(D,B) | apply(A,D,f4(A,B,C,D)) # label(maps) # label(axiom). [clausify(12)].
% 0.47/1.03 33 -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)].
% 0.47/1.03 Derived: member(f5(A,B,C),B) | member(f6(A,B,C),B) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(30,a,31,a)].
% 0.47/1.03 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(30,a,32,a)].
% 0.47/1.03 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(30,a,33,a)].
% 0.47/1.03 34 maps(A,B,C) | member(f5(A,B,C),B) | member(f7(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.47/1.03 Derived: member(f5(A,B,C),B) | member(f7(A,B,C),C) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(34,a,31,a)].
% 0.47/1.03 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(34,a,32,a)].
% 0.47/1.03 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(34,a,33,a)].
% 0.47/1.03 35 maps(A,B,C) | member(f5(A,B,C),B) | member(f8(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.47/1.03 Derived: member(f5(A,B,C),B) | member(f8(A,B,C),C) | -member(D,B) | member(f4(A,B,C,D),C). [resolve(35,a,31,a)].
% 0.47/1.03 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(35,a,32,a)].
% 0.47/1.03 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(35,a,33,a)].
% 0.47/1.03 36 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)].
% 0.47/1.03 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(36,a,31,a)].
% 0.47/1.03 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(36,a,32,a)].
% 0.47/1.03 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(36,a,33,a)].
% 0.47/1.03 37 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)].
% 0.47/1.03 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(37,a,31,a)].
% 0.47/1.03 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(37,a,32,a)].
% 0.47/1.03 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(37,a,33,a)].
% 0.47/1.03 38 maps(A,B,C) | member(f5(A,B,C),B) | f8(A,B,C) != f7(A,B,C) # label(maps) # label(axiom). [clausify(12)].
% 0.47/1.03 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(38,a,31,a)].
% 0.47/1.03 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(38,a,32,a)].
% 0.47/1.03 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(38,a,33,a)].
% 0.47/1.03 39 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)].
% 0.47/1.03 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(39,a,31,a)].
% 0.47/1.03 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(39,a,32,a)].
% 0.47/1.03 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(39,a,33,a)].
% 0.47/1.03 40 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)].
% 0.47/1.03 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(40,a,31,a)].
% 0.47/1.03 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(40,a,32,a)].
% 0.47/1.03 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(40,a,33,a)].
% 0.78/1.04 41 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)].
% 0.78/1.04 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(41,a,31,a)].
% 0.78/1.04 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(41,a,32,a)].
% 0.78/1.04 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(41,a,33,a)].
% 0.78/1.04 42 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)].
% 0.78/1.04 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(42,a,31,a)].
% 0.78/1.04 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(42,a,32,a)].
% 0.78/1.04 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(42,a,33,a)].
% 0.78/1.04 43 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)].
% 0.78/1.04 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(43,a,31,a)].
% 0.78/1.04 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(43,a,32,a)].
% 0.78/1.04 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(43,a,33,a)].
% 0.78/1.04 44 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)].
% 0.78/1.04 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(44,a,31,a)].
% 0.78/1.04 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(44,a,32,a)].
% 0.78/1.04 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(44,a,33,a)].
% 0.78/1.04 45 -isomorphism(A,B,C,D,E) | maps(A,B,D) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.78/1.04 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f4(A,B,D,F),D). [resolve(45,b,31,a)].
% 0.78/1.04 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f4(A,B,D,F)). [resolve(45,b,32,a)].
% 0.78/1.04 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(45,b,33,a)].
% 0.78/1.04 46 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)].
% 0.78/1.04 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(46,b,30,a)].
% 0.78/1.04 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(46,b,34,a)].
% 0.78/1.04 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(46,b,35,a)].
% 0.78/1.04 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(46,b,36,a)].
% 0.78/1.04 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(46,b,37,a)].
% 0.78/1.04 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(46,b,38,a)].
% 0.78/1.04 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(46,b,39,a)].
% 0.78/1.04 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(46,b,40,a)].
% 0.78/1.04 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(46,b,41,a)].
% 0.78/1.04 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(46,b,42,a)].
% 0.78/1.04 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(46,b,43,a)].
% 0.78/1.04 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(46,b,44,a)].
% 0.78/1.04 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(46,b,45,b)].
% 0.78/1.04 47 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)].
% 0.78/1.04 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(47,b,30,a)].
% 0.78/1.04 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(47,b,34,a)].
% 0.78/1.04 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(47,b,35,a)].
% 0.78/1.04 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(47,b,36,a)].
% 0.78/1.04 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(47,b,37,a)].
% 0.78/1.04 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(47,b,38,a)].
% 0.78/1.04 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(47,b,39,a)].
% 0.78/1.04 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(47,b,40,a)].
% 0.78/1.04 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(47,b,41,a)].
% 0.78/1.04 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(47,b,42,a)].
% 0.78/1.04 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(47,b,43,a)].
% 0.78/1.04 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(47,b,44,a)].
% 0.78/1.04 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(47,b,45,b)].
% 0.78/1.04 48 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)].
% 0.78/1.04 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(48,b,30,a)].
% 0.78/1.04 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(48,b,34,a)].
% 0.78/1.04 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(48,b,35,a)].
% 0.78/1.04 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(48,b,36,a)].
% 0.78/1.04 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(48,b,37,a)].
% 0.78/1.04 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(48,b,38,a)].
% 0.78/1.04 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(48,b,39,a)].
% 0.78/1.04 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(48,b,40,a)].
% 0.78/1.04 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(48,b,41,a)].
% 0.78/1.04 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(48,b,42,a)].
% 0.78/1.04 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(48,b,43,a)].
% 0.78/1.04 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(48,b,44,a)].
% 0.78/1.04 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(48,b,45,b)].
% 0.78/1.04 49 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)].
% 0.78/1.04 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(49,b,30,a)].
% 0.78/1.04 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(49,b,34,a)].
% 0.78/1.04 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(49,b,35,a)].
% 0.78/1.04 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(49,b,36,a)].
% 0.78/1.04 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(49,b,37,a)].
% 0.78/1.04 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(49,b,38,a)].
% 0.78/1.04 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(49,b,39,a)].
% 0.78/1.04 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(49,b,40,a)].
% 0.78/1.04 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(49,b,41,a)].
% 0.78/1.04 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(49,b,42,a)].
% 0.78/1.04 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(49,b,43,a)].
% 0.78/1.04 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(49,b,44,a)].
% 0.78/1.04 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(49,b,45,b)].
% 0.78/1.04 50 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)].
% 0.78/1.04 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(50,b,30,a)].
% 0.78/1.04 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(50,b,34,a)].
% 0.78/1.04 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(50,b,35,a)].
% 0.78/1.04 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(50,b,36,a)].
% 0.78/1.04 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(50,b,37,a)].
% 0.78/1.04 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(50,b,38,a)].
% 0.78/1.04 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(50,b,39,a)].
% 0.78/1.04 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(50,b,40,a)].
% 0.78/1.04 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(50,b,41,a)].
% 0.78/1.04 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(50,b,42,a)].
% 0.78/1.04 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(50,b,43,a)].
% 0.78/1.04 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(50,b,44,a)].
% 0.78/1.04 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(50,b,45,b)].
% 0.78/1.04 51 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)].
% 0.78/1.04 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(51,b,30,a)].
% 0.78/1.04 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(51,b,34,a)].
% 0.78/1.04 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(51,b,35,a)].
% 0.78/1.04 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(51,b,36,a)].
% 0.78/1.04 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(51,b,37,a)].
% 0.78/1.04 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(51,b,38,a)].
% 0.78/1.04 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(51,b,39,a)].
% 0.78/1.04 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(51,b,40,a)].
% 0.78/1.04 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(51,b,41,a)].
% 0.78/1.04 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(51,b,42,a)].
% 0.78/1.04 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(51,b,43,a)].
% 0.78/1.04 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(51,b,44,a)].
% 0.78/1.04 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(51,b,45,b)].
% 0.78/1.05 52 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)].
% 0.78/1.05 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(52,b,30,a)].
% 0.78/1.05 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(52,b,34,a)].
% 0.78/1.05 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(52,b,35,a)].
% 0.78/1.05 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(52,b,36,a)].
% 0.78/1.05 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(52,b,37,a)].
% 0.78/1.05 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(52,b,38,a)].
% 0.78/1.05 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(52,b,39,a)].
% 0.78/1.05 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(52,b,40,a)].
% 0.78/1.05 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(52,b,41,a)].
% 0.78/1.05 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(52,b,42,a)].
% 0.78/1.05 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(52,b,43,a)].
% 0.78/1.05 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(52,b,44,a)].
% 0.78/1.05 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(52,b,45,b)].
% 0.78/1.05 53 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)].
% 0.78/1.05 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(53,b,30,a)].
% 0.78/1.05 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(53,b,34,a)].
% 0.78/1.05 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(53,b,35,a)].
% 0.78/1.05 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(53,b,36,a)].
% 0.78/1.06 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(53,b,37,a)].
% 0.78/1.06 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(53,b,38,a)].
% 0.78/1.06 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(53,b,39,a)].
% 0.78/1.06 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(53,b,40,a)].
% 0.78/1.06 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(53,b,41,a)].
% 0.78/1.06 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(53,b,42,a)].
% 0.78/1.06 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(53,b,43,a)].
% 0.78/1.06 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(53,b,44,a)].
% 0.78/1.06 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(53,b,45,b)].
% 0.78/1.06 54 maps(c1,c2,c3) # label(thIIa02) # label(negated_conjecture). [clausify(29)].
% 0.78/1.06 Derived: -member(A,c2) | member(f4(c1,c2,c3,A),c3). [resolve(54,a,31,a)].
% 0.78/1.06 Derived: -member(A,c2) | apply(c1,A,f4(c1,c2,c3,A)). [resolve(54,a,32,a)].
% 0.78/1.06 Derived: -member(A,c2) | -member(B,c3) | -member(C,c3) | -apply(c1,A,B) | -apply(c1,A,C) | C = B. [resolve(54,a,33,a)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | member(f37(c1,c2,A,c3,B),c2). [resolve(54,a,46,b)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | member(f38(c1,c2,A,c3,B),c3). [resolve(54,a,47,b)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | member(f39(c1,c2,A,c3,B),c2). [resolve(54,a,48,b)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | member(f40(c1,c2,A,c3,B),c3). [resolve(54,a,49,b)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | apply(c1,f37(c1,c2,A,c3,B),f38(c1,c2,A,c3,B)). [resolve(54,a,50,b)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | apply(c1,f39(c1,c2,A,c3,B),f40(c1,c2,A,c3,B)). [resolve(54,a,51,b)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | apply(A,f37(c1,c2,A,c3,B),f39(c1,c2,A,c3,B)) | apply(B,f38(c1,c2,A,c3,B),f40(c1,c2,A,c3,B)). [resolve(54,a,52,b)].
% 0.78/1.06 Derived: isomorphism(c1,c2,A,c3,B) | -one_to_one(c1,c2,c3) | -apply(A,f37(c1,c2,A,c3,B),f39(c1,c2,A,c3,B)) | -apply(B,f38(c1,c2,A,c3,B),f40(c1,c2,A,c3,B)). [resolve(54,a,53,b)].
% 0.78/1.06 55 compose_predicate(A,B,C,D,E,F) | member(f10(A,B,C,D,E,F),D) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.78/1.06 56 -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)].
% 0.78/1.06 57 -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)].
% 0.78/1.06 58 -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)].
% 0.78/1.06 59 -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)].
% 0.78/1.06 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(55,a,56,a)].
% 0.78/1.06 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(55,a,57,a)].
% 0.78/1.06 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(55,a,58,a)].
% 0.78/1.06 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(55,a,59,a)].
% 0.78/1.06 60 compose_predicate(A,B,C,D,E,F) | member(f11(A,B,C,D,E,F),F) # label(compose_predicate) # label(axiom). [clausify(13)].
% 0.78/1.06 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(60,a,56,a)].
% 0.78/1.06 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(60,a,57,a)].
% 0.78/1.06 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(60,a,58,a)].
% 0.78/1.06 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(60,a,59,a)].
% 0.78/1.06 61 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)].
% 0.78/1.06 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(61,a,56,a)].
% 0.78/1.06 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(61,a,57,a)].
% 0.78/1.06 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(61,a,58,a)].
% 0.78/1.06 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(61,a,59,a)].
% 0.78/1.06 62 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)].
% 0.78/1.06 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(62,a,56,a)].
% 0.78/1.06 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(62,a,57,a)].
% 0.78/1.06 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(62,a,58,a)].
% 0.78/1.06 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(62,a,59,a)].
% 0.78/1.06 63 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)].
% 0.78/1.06 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(63,a,56,a)].
% 0.78/1.06 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(63,a,57,a)].
% 0.78/1.06 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(63,a,58,a)].
% 0.83/1.09 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(63,a,59,a)].
% 0.83/1.09 64 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)].
% 0.83/1.09 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(64,a,56,a)].
% 0.83/1.09 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(64,a,57,a)].
% 0.83/1.09 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(64,a,58,a)].
% 0.83/1.09 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(64,a,59,a)].
% 0.83/1.09 65 equal_maps(A,B,C,D) | member(f14(A,B,C,D),C) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.83/1.09 66 -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)].
% 0.83/1.09 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(65,a,66,a)].
% 0.83/1.09 67 equal_maps(A,B,C,D) | member(f15(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.83/1.09 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(67,a,66,a)].
% 0.83/1.09 68 equal_maps(A,B,C,D) | member(f16(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.83/1.09 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(68,a,66,a)].
% 0.83/1.09 69 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)].
% 0.83/1.09 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(69,a,66,a)].
% 0.83/1.09 70 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)].
% 0.83/1.09 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(70,a,66,a)].
% 0.83/1.09 71 equal_maps(A,B,C,D) | f16(A,B,C,D) != f15(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.83/1.09 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(71,a,66,a)].
% 0.83/1.09 72 identity(A,B) | member(f17(A,B),B) # label(identity) # label(axiom). [clausify(16)].
% 0.83/1.09 73 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(16)].
% 0.83/1.09 Derived: member(f17(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(72,a,73,a)].
% 0.83/1.09 74 identity(A,B) | -apply(A,f17(A,B),f17(A,B)) # label(identity) # label(axiom). [clausify(16)].
% 0.83/1.09 Derived: -apply(A,f17(A,B),f17(A,B)) | -member(C,B) | apply(A,C,C). [resolve(74,a,73,a)].
% 0.83/1.09 75 injective(A,B,C) | member(f18(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.09 76 -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)].
% 0.83/1.09 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(75,a,76,a)].
% 0.83/1.12 77 injective(A,B,C) | member(f19(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.12 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(77,a,76,a)].
% 0.83/1.12 78 injective(A,B,C) | member(f20(A,B,C),C) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.12 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(78,a,76,a)].
% 0.83/1.12 79 injective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.12 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(79,a,76,a)].
% 0.83/1.12 80 injective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.12 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(80,a,76,a)].
% 0.83/1.12 81 injective(A,B,C) | f19(A,B,C) != f18(A,B,C) # label(injective) # label(axiom). [clausify(17)].
% 0.83/1.12 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(81,a,76,a)].
% 0.83/1.12 82 -one_to_one(A,B,C) | injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.83/1.12 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(82,b,76,a)].
% 0.83/1.12 83 one_to_one(A,B,C) | -injective(A,B,C) | -surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f18(A,B,C),B). [resolve(83,b,75,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f19(A,B,C),B). [resolve(83,b,77,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f20(A,B,C),C). [resolve(83,b,78,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)). [resolve(83,b,79,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(83,b,80,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | f19(A,B,C) != f18(A,B,C). [resolve(83,b,81,a)].
% 0.83/1.12 84 surjective(A,B,C) | member(f22(A,B,C),C) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.12 85 -surjective(A,B,C) | -member(D,C) | member(f21(A,B,C,D),B) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.12 86 -surjective(A,B,C) | -member(D,C) | apply(A,f21(A,B,C,D),D) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.12 Derived: member(f22(A,B,C),C) | -member(D,C) | member(f21(A,B,C,D),B). [resolve(84,a,85,a)].
% 0.83/1.12 Derived: member(f22(A,B,C),C) | -member(D,C) | apply(A,f21(A,B,C,D),D). [resolve(84,a,86,a)].
% 0.83/1.12 87 surjective(A,B,C) | -member(D,B) | -apply(A,D,f22(A,B,C)) # label(surjective) # label(axiom). [clausify(18)].
% 0.83/1.12 Derived: -member(A,B) | -apply(C,A,f22(C,B,D)) | -member(E,D) | member(f21(C,B,D,E),B). [resolve(87,a,85,a)].
% 0.83/1.12 Derived: -member(A,B) | -apply(C,A,f22(C,B,D)) | -member(E,D) | apply(C,f21(C,B,D,E),E). [resolve(87,a,86,a)].
% 0.83/1.12 88 -one_to_one(A,B,C) | surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.83/1.12 Derived: -one_to_one(A,B,C) | -member(D,C) | member(f21(A,B,C,D),B). [resolve(88,b,85,a)].
% 0.83/1.12 Derived: -one_to_one(A,B,C) | -member(D,C) | apply(A,f21(A,B,C,D),D). [resolve(88,b,86,a)].
% 0.83/1.12 89 one_to_one(A,B,C) | -surjective(A,B,C) | member(f18(A,B,C),B). [resolve(83,b,75,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | member(f22(A,B,C),C). [resolve(89,b,84,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | member(f18(A,B,C),B) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(89,b,87,a)].
% 0.83/1.12 90 one_to_one(A,B,C) | -surjective(A,B,C) | member(f19(A,B,C),B). [resolve(83,b,77,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | member(f19(A,B,C),B) | member(f22(A,B,C),C). [resolve(90,b,84,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | member(f19(A,B,C),B) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(90,b,87,a)].
% 0.83/1.12 91 one_to_one(A,B,C) | -surjective(A,B,C) | member(f20(A,B,C),C). [resolve(83,b,78,a)].
% 0.83/1.12 Derived: one_to_one(A,B,C) | member(f20(A,B,C),C) | member(f22(A,B,C),C). [resolve(91,b,84,a)].
% 0.83/1.13 Derived: one_to_one(A,B,C) | member(f20(A,B,C),C) | -member(D,B) | -apply(A,D,f22(A,B,C)). [resolve(91,b,87,a)].
% 0.83/1.13 92 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)). [resolve(83,b,79,a)].
% 0.83/1.13 Derived: one_to_one(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) | member(f22(A,B,C),C). [resolve(92,b,84,a)].
% 0.83/1.13 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(92,b,87,a)].
% 0.83/1.13 93 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)). [resolve(83,b,80,a)].
% 0.83/1.13 Derived: one_to_one(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) | member(f22(A,B,C),C). [resolve(93,b,84,a)].
% 0.83/1.13 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(93,b,87,a)].
% 0.83/1.13 94 one_to_one(A,B,C) | -surjective(A,B,C) | f19(A,B,C) != f18(A,B,C). [resolve(83,b,81,a)].
% 0.83/1.13 Derived: one_to_one(A,B,C) | f19(A,B,C) != f18(A,B,C) | member(f22(A,B,C),C). [resolve(94,b,84,a)].
% 0.83/1.13 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(94,b,87,a)].
% 0.83/1.13 95 inverse_predicate(A,B,C,D) | member(f23(A,B,C,D),C) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.13 96 -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)].
% 0.83/1.13 97 -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)].
% 0.83/1.13 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(95,a,96,a)].
% 0.83/1.13 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(95,a,97,a)].
% 0.83/1.13 98 inverse_predicate(A,B,C,D) | member(f24(A,B,C,D),D) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.83/1.13 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(98,a,96,a)].
% 0.83/1.13 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(98,a,97,a)].
% 0.83/1.13 99 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)].
% 0.83/1.13 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(99,a,96,a)].
% 0.83/1.13 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(99,a,97,a)].
% 0.83/1.13 100 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)].
% 0.83/1.13 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(100,a,96,a)].
% 0.83/1.13 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(100,a,97,a)].
% 0.83/1.13 101 increasing(A,B,C,D,E) | member(f29(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.13 102 -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)].
% 0.83/1.13 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(101,a,102,a)].
% 0.83/1.13 103 increasing(A,B,C,D,E) | member(f30(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.13 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(103,a,102,a)].
% 0.83/1.13 104 increasing(A,B,C,D,E) | member(f31(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.83/1.13 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(104,a,102,a)].
% 0.89/1.14 105 increasing(A,B,C,D,E) | member(f32(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.89/1.14 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(105,a,102,a)].
% 0.89/1.14 106 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)].
% 0.89/1.14 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(106,a,102,a)].
% 0.89/1.14 107 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)].
% 0.89/1.14 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(107,a,102,a)].
% 0.89/1.14 108 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)].
% 0.89/1.14 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(108,a,102,a)].
% 0.89/1.14 109 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)].
% 0.89/1.14 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(109,a,102,a)].
% 0.89/1.14 110 decreasing(A,B,C,D,E) | member(f33(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.89/1.14 111 -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)].
% 0.89/1.14 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(110,a,111,a)].
% 0.89/1.14 112 decreasing(A,B,C,D,E) | member(f34(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.89/1.14 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(112,a,111,a)].
% 0.89/1.14 113 decreasing(A,B,C,D,E) | member(f35(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.89/1.14 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(113,a,111,a)].
% 0.89/1.14 114 decreasing(A,B,C,D,E) | member(f36(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.89/1.14 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(114,a,111,a)].
% 0.89/1.14 115 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)].
% 0.89/1.14 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(115,a,111,a)].
% 0.89/1.14 116 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)].
% 0.89/1.14 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(116,a,111,a)].
% 0.89/1.14 117 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)].
% 0.89/1.14 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(117,a,111,a)].
% 3.29/3.56 118 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)].
% 3.29/3.56 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(118,a,111,a)].
% 3.29/3.56
% 3.29/3.56 ============================== end predicate elimination =============
% 3.29/3.56
% 3.29/3.56 Auto_denials: (non-Horn, no changes).
% 3.29/3.56
% 3.29/3.56 Term ordering decisions:
% 3.29/3.56 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. product=1. sum=1. power_set=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.
% 3.29/3.56
% 3.29/3.56 ============================== end of process initial clauses ========
% 3.29/3.56
% 3.29/3.56 ============================== CLAUSES FOR SEARCH ====================
% 3.29/3.56
% 3.29/3.56 ============================== end of clauses for search =============
% 3.29/3.56
% 3.29/3.56 ============================== SEARCH ================================
% 3.29/3.56
% 3.29/3.56 % Starting search at 0.34 seconds.
% 3.29/3.56
% 3.29/3.56 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.45 sec).
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=179.000, iters=3426
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=173.000, iters=3393
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=167.000, iters=3347
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=147.000, iters=3399
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=144.000, iters=3392
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=127.000, iters=3340
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=124.000, iters=3333
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=122.000, iters=3343
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=119.000, iters=3342
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=118.000, iters=3341
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=116.000, iters=3340
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=113.000, iters=3334
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=112.000, iters=3371
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=100.000, iters=3350
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=98.000, iters=3391
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=95.000, iters=3385
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=93.000, iters=3341
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=92.000, iters=3346
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=87.000, iters=3365
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=85.000, iters=3334
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=81.000, iters=3333
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=80.000, iters=3349
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=78.000, iters=3340
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=77.000, iters=3333
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=76.000, iters=3369
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=74.000, iters=3401
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=72.000, iters=3361
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=71.000, iters=3350
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=70.000, iters=3423
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=67.000, iters=3383
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=66.000, iters=3358
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=65.000, iters=3416
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=64.000, iters=3363
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=63.000, iters=3442
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=62.000, iters=3333
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6587, wt=198.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6755, wt=193.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6593, wt=186.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6592, wt=182.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=5186, wt=179.000
% 3.29/3.56
% 3.29/3.56 Low Water (keep): wt=61.000, iters=3370
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6780, wt=177.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6778, wt=176.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6774, wt=173.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=5355, wt=171.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6786, wt=169.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=5184, wt=167.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6586, wt=166.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6757, wt=165.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6584, wt=162.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6764, wt=161.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6709, wt=159.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6754, wt=158.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6756, wt=157.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6728, wt=155.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6777, wt=153.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6578, wt=151.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=6827, wt=150.000
% 3.29/3.56
% 3.29/3.56 Low Water (displace): id=5344, wt=149.000
% 3.29/3.56
% 3.29/3.56 Low Water (displaceCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------