0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer   : n003.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   : 1200
0.12/0.33	% DateTime   : Tue Jul 13 17:12:24 EDT 2021
0.12/0.34	% CPUTime    : 
0.89/1.16	============================== Prover9 ===============================
0.89/1.16	Prover9 (32) version 2009-11A, November 2009.
0.89/1.16	Process 19358 was started by sandbox2 on n003.cluster.edu,
0.89/1.16	Tue Jul 13 17:12:25 2021
0.89/1.16	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_19165_n003.cluster.edu".
0.89/1.16	============================== end of head ===========================
0.89/1.16	
0.89/1.16	============================== INPUT =================================
0.89/1.16	
0.89/1.16	% Reading from file /tmp/Prover9_19165_n003.cluster.edu
0.89/1.16	
0.89/1.16	set(prolog_style_variables).
0.89/1.16	set(auto2).
0.89/1.16	    % set(auto2) -> set(auto).
0.89/1.16	    % set(auto) -> set(auto_inference).
0.89/1.16	    % set(auto) -> set(auto_setup).
0.89/1.16	    % set(auto_setup) -> set(predicate_elim).
0.89/1.16	    % set(auto_setup) -> assign(eq_defs, unfold).
0.89/1.16	    % set(auto) -> set(auto_limits).
0.89/1.16	    % set(auto_limits) -> assign(max_weight, "100.000").
0.89/1.16	    % set(auto_limits) -> assign(sos_limit, 20000).
0.89/1.16	    % set(auto) -> set(auto_denials).
0.89/1.16	    % set(auto) -> set(auto_process).
0.89/1.16	    % set(auto2) -> assign(new_constants, 1).
0.89/1.16	    % set(auto2) -> assign(fold_denial_max, 3).
0.89/1.16	    % set(auto2) -> assign(max_weight, "200.000").
0.89/1.16	    % set(auto2) -> assign(max_hours, 1).
0.89/1.16	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.89/1.16	    % set(auto2) -> assign(max_seconds, 0).
0.89/1.16	    % set(auto2) -> assign(max_minutes, 5).
0.89/1.16	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.89/1.16	    % set(auto2) -> set(sort_initial_sos).
0.89/1.16	    % set(auto2) -> assign(sos_limit, -1).
0.89/1.16	    % set(auto2) -> assign(lrs_ticks, 3000).
0.89/1.16	    % set(auto2) -> assign(max_megs, 400).
0.89/1.16	    % set(auto2) -> assign(stats, some).
0.89/1.16	    % set(auto2) -> clear(echo_input).
0.89/1.16	    % set(auto2) -> set(quiet).
0.89/1.16	    % set(auto2) -> clear(print_initial_clauses).
0.89/1.16	    % set(auto2) -> clear(print_given).
0.89/1.16	assign(lrs_ticks,-1).
0.89/1.16	assign(sos_limit,10000).
0.89/1.16	assign(order,kbo).
0.89/1.16	set(lex_order_vars).
0.89/1.16	clear(print_given).
0.89/1.16	
0.89/1.16	% formulas(sos).  % not echoed (29 formulas)
0.89/1.16	
0.89/1.16	============================== end of input ==========================
0.89/1.16	
0.89/1.16	% From the command line: assign(max_seconds, 1200).
0.89/1.16	
0.89/1.16	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.89/1.16	
0.89/1.16	% Formulas that are not ordinary clauses:
0.89/1.16	1 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = A | B = X)) # label(unordered_pair) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	2 (all X all A (A = X <-> member(X,singleton(A)))) # label(singleton) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	3 (all A all B ((all X (member(X,A) -> member(X,B))) <-> subset(A,B))) # label(subset) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	4 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	5 (all B all A all E (member(B,E) & -member(B,A) <-> member(B,difference(E,A)))) # label(difference) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	6 (all X all A all B (member(X,B) & member(X,A) <-> member(X,intersection(A,B)))) # label(intersection) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	7 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	8 (all X all A ((all Y (member(Y,A) -> member(X,Y))) <-> member(X,product(A)))) # label(product) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	9 (all A all B (subset(A,B) & subset(B,A) <-> equal_set(A,B))) # label(equal_set) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	10 (all X all A (member(X,sum(A)) <-> (exists Y (member(X,Y) & member(Y,A))))) # label(sum) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	11 (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].
0.89/1.16	12 (all F all A all Y (member(Y,image2(F,A)) <-> (exists X (apply(F,X,Y) & member(X,A))))) # label(image2) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	13 (all F all A all B all Y (member(Y,image3(F,A,B)) <-> (exists X (member(X,A) & apply(F,X,Y))) & member(Y,B))) # label(image3) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	14 (all F all A all B (maps(F,A,B) <-> (all X all Y1 all Y2 (member(Y2,B) & member(Y1,B) & member(X,A) -> (apply(F,X,Y1) & apply(F,X,Y2) -> Y1 = Y2))) & (all X (member(X,A) -> (exists Y (member(Y,B) & apply(F,X,Y))))))) # label(maps) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	15 (all F all A all B (injective(F,A,B) <-> (all X1 all X2 all Y (member(X1,A) & member(Y,B) & member(X2,A) -> (apply(F,X1,Y) & apply(F,X2,Y) -> X2 = X1))))) # label(injective) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	16 (all G all F all A all B (inverse_predicate(G,F,A,B) <-> (all X all Y (member(X,A) & member(Y,B) -> (apply(G,Y,X) <-> apply(F,X,Y)))))) # label(inverse_predicate) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	17 (all F all A all B (one_to_one(F,A,B) <-> surjective(F,A,B) & injective(F,A,B))) # label(one_to_one) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	18 (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].
0.89/1.16	19 (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].
0.89/1.16	20 (all F all A all R all B all S (maps(F,A,B) & (all X1 all Y1 all X2 all Y2 (member(Y1,B) & apply(F,X2,Y2) & apply(F,X1,Y1) & member(Y2,B) & member(X2,A) & member(X1,A) -> (apply(R,X1,X2) <-> apply(S,Y1,Y2)))) & one_to_one(F,A,B) <-> isomorphism(F,A,R,B,S))) # label(isomorphism) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	21 (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(Y1,B) & apply(R,X1,X2) & apply(F,X1,Y1) & apply(F,X2,Y2) & member(Y2,B) & member(X2,A) & member(X1,A) -> apply(S,Y2,Y1))))) # label(decreasing_function) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	22 (all G all F all A all B all C all X all Z (member(Z,C) & member(X,A) -> ((exists Y (member(Y,B) & apply(G,Y,Z) & apply(F,X,Y))) <-> apply(compose_function(G,F,A,B,C),X,Z)))) # label(compose_function) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	23 (all F all A all B (surjective(F,A,B) <-> (all Y (member(Y,B) -> (exists E (apply(F,E,Y) & member(E,A))))))) # label(surjective) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	24 (all F all G all A all B ((all X all Y1 all Y2 (member(X,A) & member(Y2,B) & member(Y1,B) -> (apply(G,X,Y2) & apply(F,X,Y1) -> Y2 = Y1))) <-> equal_maps(F,G,A,B))) # label(equal_maps) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	25 (all H all G all F all A all B all C ((all X all Z (member(X,A) & member(Z,C) -> (apply(H,X,Z) <-> (exists Y (member(Y,B) & apply(G,Y,Z) & apply(F,X,Y)))))) <-> compose_predicate(H,G,F,A,B,C))) # label(compose_predicate) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	26 (all F all A all R all B all S ((all X1 all Y1 all X2 all Y2 (member(Y1,B) & member(X2,A) & member(Y2,B) & apply(F,X1,Y1) & apply(F,X2,Y2) & apply(R,X1,X2) & member(X1,A) -> apply(S,Y1,Y2))) <-> increasing(F,A,R,B,S))) # label(increasing_function) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	27 (all F all B all A all X ((exists Y (member(Y,B) & apply(F,X,Y))) & member(X,A) <-> member(X,inverse_image3(F,B,A)))) # label(inverse_image3) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	28 (all F all A ((all X (member(X,A) -> apply(F,X,X))) <-> identity(F,A))) # label(identity) # label(axiom) # label(non_clause).  [assumption].
0.89/1.16	29 -(all F all G all H all A all B all C (maps(G,B,C) & one_to_one(compose_function(H,G,B,C,A),B,A) & one_to_one(compose_function(G,F,A,B,C),A,C) & maps(H,C,A) & maps(F,A,B) -> one_to_one(H,C,A))) # label(thII35) # label(negated_conjecture) # label(non_clause).  [assumption].
0.89/1.16	
0.89/1.16	============================== end of process non-clausal formulas ===
0.89/1.16	
0.89/1.16	============================== PROCESS INITIAL CLAUSES ===============
0.89/1.16	
0.89/1.16	============================== PREDICATE ELIMINATION =================
0.89/1.16	30 subset(A,B) | -equal_set(A,B) # label(equal_set) # label(axiom).  [clausify(9)].
0.89/1.16	31 -subset(A,B) | -subset(B,A) | equal_set(A,B) # label(equal_set) # label(axiom).  [clausify(9)].
0.89/1.16	32 subset(A,B) | -equal_set(B,A) # label(equal_set) # label(axiom).  [clausify(9)].
0.89/1.17	33 -member(A,B) | member(A,C) | -subset(B,C) # label(subset) # label(axiom).  [clausify(3)].
0.89/1.17	34 member(f1(A,B),A) | subset(A,B) # label(subset) # label(axiom).  [clausify(3)].
0.89/1.17	35 -member(f1(A,B),B) | subset(A,B) # label(subset) # label(axiom).  [clausify(3)].
0.89/1.17	Derived: -member(A,B) | member(A,C) | member(f1(B,C),B).  [resolve(33,c,34,b)].
0.89/1.17	Derived: -member(A,B) | member(A,C) | -member(f1(B,C),C).  [resolve(33,c,35,b)].
0.89/1.17	36 -member(A,power_set(B)) | subset(A,B) # label(power_set) # label(axiom).  [clausify(4)].
0.89/1.17	Derived: -member(A,power_set(B)) | -member(C,A) | member(C,B).  [resolve(36,b,33,c)].
0.89/1.17	37 member(A,power_set(B)) | -subset(A,B) # label(power_set) # label(axiom).  [clausify(4)].
0.89/1.17	Derived: member(A,power_set(B)) | member(f1(A,B),A).  [resolve(37,b,34,b)].
0.89/1.17	Derived: member(A,power_set(B)) | -member(f1(A,B),B).  [resolve(37,b,35,b)].
0.89/1.17	38 maps(A,B,C) | member(f9(A,B,C),C) | member(f10(A,B,C),B) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	39 -maps(A,B,C) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	40 -maps(A,B,C) | -member(D,B) | member(f6(A,B,C,D),C) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	41 -maps(A,B,C) | -member(D,B) | apply(A,D,f6(A,B,C,D)) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: member(f9(A,B,C),C) | member(f10(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E.  [resolve(38,a,39,a)].
0.89/1.17	Derived: member(f9(A,B,C),C) | member(f10(A,B,C),B) | -member(D,B) | member(f6(A,B,C,D),C).  [resolve(38,a,40,a)].
0.89/1.17	Derived: member(f9(A,B,C),C) | member(f10(A,B,C),B) | -member(D,B) | apply(A,D,f6(A,B,C,D)).  [resolve(38,a,41,a)].
0.89/1.17	42 maps(A,B,C) | member(f9(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: member(f9(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,C) | -member(F,C) | -member(V6,B) | -apply(A,V6,F) | -apply(A,V6,E) | E = F.  [resolve(42,a,39,a)].
0.89/1.17	Derived: member(f9(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | member(f6(A,B,C,E),C).  [resolve(42,a,40,a)].
0.89/1.17	Derived: member(f9(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | apply(A,E,f6(A,B,C,E)).  [resolve(42,a,41,a)].
0.89/1.17	43 maps(A,B,C) | member(f8(A,B,C),C) | member(f10(A,B,C),B) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: member(f8(A,B,C),C) | member(f10(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E.  [resolve(43,a,39,a)].
0.89/1.17	Derived: member(f8(A,B,C),C) | member(f10(A,B,C),B) | -member(D,B) | member(f6(A,B,C,D),C).  [resolve(43,a,40,a)].
0.89/1.17	Derived: member(f8(A,B,C),C) | member(f10(A,B,C),B) | -member(D,B) | apply(A,D,f6(A,B,C,D)).  [resolve(43,a,41,a)].
0.89/1.17	44 maps(A,B,C) | member(f8(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: member(f8(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,C) | -member(F,C) | -member(V6,B) | -apply(A,V6,F) | -apply(A,V6,E) | E = F.  [resolve(44,a,39,a)].
0.89/1.17	Derived: member(f8(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | member(f6(A,B,C,E),C).  [resolve(44,a,40,a)].
0.89/1.17	Derived: member(f8(A,B,C),C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | apply(A,E,f6(A,B,C,E)).  [resolve(44,a,41,a)].
0.89/1.17	45 maps(A,B,C) | member(f7(A,B,C),B) | member(f10(A,B,C),B) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: member(f7(A,B,C),B) | member(f10(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E.  [resolve(45,a,39,a)].
0.89/1.17	Derived: member(f7(A,B,C),B) | member(f10(A,B,C),B) | -member(D,B) | member(f6(A,B,C,D),C).  [resolve(45,a,40,a)].
0.89/1.17	Derived: member(f7(A,B,C),B) | member(f10(A,B,C),B) | -member(D,B) | apply(A,D,f6(A,B,C,D)).  [resolve(45,a,41,a)].
0.89/1.17	46 maps(A,B,C) | member(f7(A,B,C),B) | -member(D,C) | -apply(A,f10(A,B,C),D) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: member(f7(A,B,C),B) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,C) | -member(F,C) | -member(V6,B) | -apply(A,V6,F) | -apply(A,V6,E) | E = F.  [resolve(46,a,39,a)].
0.89/1.17	Derived: member(f7(A,B,C),B) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | member(f6(A,B,C,E),C).  [resolve(46,a,40,a)].
0.89/1.17	Derived: member(f7(A,B,C),B) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | apply(A,E,f6(A,B,C,E)).  [resolve(46,a,41,a)].
0.89/1.17	47 maps(A,B,C) | apply(A,f7(A,B,C),f8(A,B,C)) | member(f10(A,B,C),B) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f8(A,B,C)) | member(f10(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E.  [resolve(47,a,39,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f8(A,B,C)) | member(f10(A,B,C),B) | -member(D,B) | member(f6(A,B,C,D),C).  [resolve(47,a,40,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f8(A,B,C)) | member(f10(A,B,C),B) | -member(D,B) | apply(A,D,f6(A,B,C,D)).  [resolve(47,a,41,a)].
0.89/1.17	48 maps(A,B,C) | apply(A,f7(A,B,C),f8(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f8(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,C) | -member(F,C) | -member(V6,B) | -apply(A,V6,F) | -apply(A,V6,E) | E = F.  [resolve(48,a,39,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f8(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | member(f6(A,B,C,E),C).  [resolve(48,a,40,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f8(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | apply(A,E,f6(A,B,C,E)).  [resolve(48,a,41,a)].
0.89/1.17	49 maps(A,B,C) | apply(A,f7(A,B,C),f9(A,B,C)) | member(f10(A,B,C),B) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f9(A,B,C)) | member(f10(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E.  [resolve(49,a,39,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f9(A,B,C)) | member(f10(A,B,C),B) | -member(D,B) | member(f6(A,B,C,D),C).  [resolve(49,a,40,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f9(A,B,C)) | member(f10(A,B,C),B) | -member(D,B) | apply(A,D,f6(A,B,C,D)).  [resolve(49,a,41,a)].
0.89/1.17	50 maps(A,B,C) | apply(A,f7(A,B,C),f9(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f9(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,C) | -member(F,C) | -member(V6,B) | -apply(A,V6,F) | -apply(A,V6,E) | E = F.  [resolve(50,a,39,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f9(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | member(f6(A,B,C,E),C).  [resolve(50,a,40,a)].
0.89/1.17	Derived: apply(A,f7(A,B,C),f9(A,B,C)) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | apply(A,E,f6(A,B,C,E)).  [resolve(50,a,41,a)].
0.89/1.17	51 maps(A,B,C) | f9(A,B,C) != f8(A,B,C) | member(f10(A,B,C),B) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: f9(A,B,C) != f8(A,B,C) | member(f10(A,B,C),B) | -member(D,C) | -member(E,C) | -member(F,B) | -apply(A,F,E) | -apply(A,F,D) | D = E.  [resolve(51,a,39,a)].
0.89/1.17	Derived: f9(A,B,C) != f8(A,B,C) | member(f10(A,B,C),B) | -member(D,B) | member(f6(A,B,C,D),C).  [resolve(51,a,40,a)].
0.89/1.17	Derived: f9(A,B,C) != f8(A,B,C) | member(f10(A,B,C),B) | -member(D,B) | apply(A,D,f6(A,B,C,D)).  [resolve(51,a,41,a)].
0.89/1.17	52 maps(A,B,C) | f9(A,B,C) != f8(A,B,C) | -member(D,C) | -apply(A,f10(A,B,C),D) # label(maps) # label(axiom).  [clausify(14)].
0.89/1.17	Derived: f9(A,B,C) != f8(A,B,C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,C) | -member(F,C) | -member(V6,B) | -apply(A,V6,F) | -apply(A,V6,E) | E = F.  [resolve(52,a,39,a)].
0.89/1.17	Derived: f9(A,B,C) != f8(A,B,C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | member(f6(A,B,C,E),C).  [resolve(52,a,40,a)].
0.89/1.17	Derived: f9(A,B,C) != f8(A,B,C) | -member(D,C) | -apply(A,f10(A,B,C),D) | -member(E,B) | apply(A,E,f6(A,B,C,E)).  [resolve(52,a,41,a)].
0.89/1.17	53 -maps(A,B,C) | member(f18(A,B,D,C,E),C) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | member(f10(A,B,D),B).  [resolve(53,a,38,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(53,a,42,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | member(f10(A,B,D),B).  [resolve(53,a,43,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(53,a,44,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | member(f10(A,B,D),B).  [resolve(53,a,45,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(53,a,46,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | member(f10(A,B,D),B).  [resolve(53,a,47,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(53,a,48,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | member(f10(A,B,D),B).  [resolve(53,a,49,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(53,a,50,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | member(f10(A,B,D),B).  [resolve(53,a,51,a)].
0.89/1.17	Derived: member(f18(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(53,a,52,a)].
0.89/1.17	54 -maps(A,B,C) | apply(A,f19(A,B,D,C,E),f20(A,B,D,C,E)) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | member(f10(A,B,D),B).  [resolve(54,a,38,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(54,a,42,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | member(f10(A,B,D),B).  [resolve(54,a,43,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(54,a,44,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | member(f10(A,B,D),B).  [resolve(54,a,45,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(54,a,46,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | member(f10(A,B,D),B).  [resolve(54,a,47,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(54,a,48,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | member(f10(A,B,D),B).  [resolve(54,a,49,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(54,a,50,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | member(f10(A,B,D),B).  [resolve(54,a,51,a)].
0.89/1.17	Derived: apply(A,f19(A,B,C,D,E),f20(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(54,a,52,a)].
0.89/1.17	55 -maps(A,B,C) | apply(A,f17(A,B,D,C,E),f18(A,B,D,C,E)) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | member(f10(A,B,D),B).  [resolve(55,a,38,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(55,a,42,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | member(f10(A,B,D),B).  [resolve(55,a,43,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(55,a,44,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | member(f10(A,B,D),B).  [resolve(55,a,45,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(55,a,46,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | member(f10(A,B,D),B).  [resolve(55,a,47,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(55,a,48,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | member(f10(A,B,D),B).  [resolve(55,a,49,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(55,a,50,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | member(f10(A,B,D),B).  [resolve(55,a,51,a)].
0.89/1.18	Derived: apply(A,f17(A,B,C,D,E),f18(A,B,C,D,E)) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(55,a,52,a)].
0.89/1.18	56 -maps(A,B,C) | member(f20(A,B,D,C,E),C) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | member(f10(A,B,D),B).  [resolve(56,a,38,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(56,a,42,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | member(f10(A,B,D),B).  [resolve(56,a,43,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(56,a,44,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | member(f10(A,B,D),B).  [resolve(56,a,45,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(56,a,46,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | member(f10(A,B,D),B).  [resolve(56,a,47,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(56,a,48,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | member(f10(A,B,D),B).  [resolve(56,a,49,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(56,a,50,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | member(f10(A,B,D),B).  [resolve(56,a,51,a)].
0.89/1.18	Derived: member(f20(A,B,C,D,E),D) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(56,a,52,a)].
0.89/1.18	57 -maps(A,B,C) | member(f19(A,B,D,C,E),B) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | member(f10(A,B,D),B).  [resolve(57,a,38,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(57,a,42,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | member(f10(A,B,D),B).  [resolve(57,a,43,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(57,a,44,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | member(f10(A,B,D),B).  [resolve(57,a,45,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(57,a,46,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | member(f10(A,B,D),B).  [resolve(57,a,47,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(57,a,48,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | member(f10(A,B,D),B).  [resolve(57,a,49,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(57,a,50,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | member(f10(A,B,D),B).  [resolve(57,a,51,a)].
0.89/1.18	Derived: member(f19(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(57,a,52,a)].
0.89/1.18	58 -maps(A,B,C) | member(f17(A,B,D,C,E),B) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | member(f10(A,B,D),B).  [resolve(58,a,38,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f9(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(58,a,42,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | member(f10(A,B,D),B).  [resolve(58,a,43,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f8(A,B,D),D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(58,a,44,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | member(f10(A,B,D),B).  [resolve(58,a,45,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | member(f7(A,B,D),B) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(58,a,46,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | member(f10(A,B,D),B).  [resolve(58,a,47,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f8(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(58,a,48,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | member(f10(A,B,D),B).  [resolve(58,a,49,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | apply(A,f7(A,B,D),f9(A,B,D)) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(58,a,50,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | member(f10(A,B,D),B).  [resolve(58,a,51,a)].
0.89/1.18	Derived: member(f17(A,B,C,D,E),B) | -one_to_one(A,B,D) | isomorphism(A,B,C,D,E) | f9(A,B,D) != f8(A,B,D) | -member(F,D) | -apply(A,f10(A,B,D),F).  [resolve(58,a,52,a)].
0.89/1.18	59 -maps(A,B,C) | apply(D,f17(A,B,D,C,E),f19(A,B,D,C,E)) | apply(E,f18(A,B,D,C,E),f20(A,B,D,C,E)) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f9(B,C,D),D) | member(f10(B,C,D),C).  [resolve(59,a,38,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f9(B,C,D),D) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(59,a,42,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f8(B,C,D),D) | member(f10(B,C,D),C).  [resolve(59,a,43,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f8(B,C,D),D) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(59,a,44,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f7(B,C,D),C) | member(f10(B,C,D),C).  [resolve(59,a,45,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f7(B,C,D),C) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(59,a,46,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f8(B,C,D)) | member(f10(B,C,D),C).  [resolve(59,a,47,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f8(B,C,D)) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(59,a,48,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f9(B,C,D)) | member(f10(B,C,D),C).  [resolve(59,a,49,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f9(B,C,D)) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(59,a,50,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | f9(B,C,D) != f8(B,C,D) | member(f10(B,C,D),C).  [resolve(59,a,51,a)].
0.89/1.18	Derived: apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | f9(B,C,D) != f8(B,C,D) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(59,a,52,a)].
0.89/1.18	60 -maps(A,B,C) | -apply(D,f17(A,B,D,C,E),f19(A,B,D,C,E)) | -apply(E,f18(A,B,D,C,E),f20(A,B,D,C,E)) | -one_to_one(A,B,C) | isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f9(B,C,D),D) | member(f10(B,C,D),C).  [resolve(60,a,38,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f9(B,C,D),D) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(60,a,42,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f8(B,C,D),D) | member(f10(B,C,D),C).  [resolve(60,a,43,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f8(B,C,D),D) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(60,a,44,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f7(B,C,D),C) | member(f10(B,C,D),C).  [resolve(60,a,45,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | member(f7(B,C,D),C) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(60,a,46,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f8(B,C,D)) | member(f10(B,C,D),C).  [resolve(60,a,47,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f8(B,C,D)) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(60,a,48,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f9(B,C,D)) | member(f10(B,C,D),C).  [resolve(60,a,49,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | apply(B,f7(B,C,D),f9(B,C,D)) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(60,a,50,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | f9(B,C,D) != f8(B,C,D) | member(f10(B,C,D),C).  [resolve(60,a,51,a)].
0.89/1.18	Derived: -apply(A,f17(B,C,A,D,E),f19(B,C,A,D,E)) | -apply(E,f18(B,C,A,D,E),f20(B,C,A,D,E)) | -one_to_one(B,C,D) | isomorphism(B,C,A,D,E) | f9(B,C,D) != f8(B,C,D) | -member(F,D) | -apply(B,f10(B,C,D),F).  [resolve(60,a,52,a)].
0.89/1.18	61 maps(A,B,C) | -isomorphism(A,B,D,C,E) # label(isomorphism) # label(axiom).  [clausify(20)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | -member(F,D) | -member(V6,D) | -member(V7,B) | -apply(A,V7,V6) | -apply(A,V7,F) | F = V6.  [resolve(61,a,39,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f6(A,B,D,F),D).  [resolve(61,a,40,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f6(A,B,D,F)).  [resolve(61,a,41,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | member(f18(A,B,F,D,V6),D) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,53,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | apply(A,f19(A,B,F,D,V6),f20(A,B,F,D,V6)) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,54,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | apply(A,f17(A,B,F,D,V6),f18(A,B,F,D,V6)) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,55,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | member(f20(A,B,F,D,V6),D) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,56,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | member(f19(A,B,F,D,V6),B) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,57,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | member(f17(A,B,F,D,V6),B) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,58,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | apply(F,f17(A,B,F,D,V6),f19(A,B,F,D,V6)) | apply(V6,f18(A,B,F,D,V6),f20(A,B,F,D,V6)) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,59,a)].
0.89/1.18	Derived: -isomorphism(A,B,C,D,E) | -apply(F,f17(A,B,F,D,V6),f19(A,B,F,D,V6)) | -apply(V6,f18(A,B,F,D,V6),f20(A,B,F,D,V6)) | -one_to_one(A,B,D) | isomorphism(A,B,F,D,V6).  [resolve(61,a,60,a)].
0.89/1.18	62 maps(c2,c5,c6) # label(thII35) # label(negated_conjecture).  [clausify(29)].
0.89/1.18	Derived: -member(A,c6) | -member(B,c6) | -member(C,c5) | -apply(c2,C,B) | -apply(c2,C,A) | A = B.  [resolve(62,a,39,a)].
0.89/1.18	Derived: -member(A,c5) | member(f6(c2,c5,c6,A),c6).  [resolve(62,a,40,a)].
0.89/1.18	Derived: -member(A,c5) | apply(c2,A,f6(c2,c5,c6,A)).  [resolve(62,a,41,a)].
0.89/1.18	Derived: member(f18(c2,c5,A,c6,B),c6) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,53,a)].
0.89/1.18	Derived: apply(c2,f19(c2,c5,A,c6,B),f20(c2,c5,A,c6,B)) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,54,a)].
0.89/1.18	Derived: apply(c2,f17(c2,c5,A,c6,B),f18(c2,c5,A,c6,B)) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,55,a)].
0.89/1.18	Derived: member(f20(c2,c5,A,c6,B),c6) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,56,a)].
0.89/1.19	Derived: member(f19(c2,c5,A,c6,B),c5) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,57,a)].
0.89/1.19	Derived: member(f17(c2,c5,A,c6,B),c5) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,58,a)].
0.89/1.19	Derived: apply(A,f17(c2,c5,A,c6,B),f19(c2,c5,A,c6,B)) | apply(B,f18(c2,c5,A,c6,B),f20(c2,c5,A,c6,B)) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,59,a)].
0.89/1.19	Derived: -apply(A,f17(c2,c5,A,c6,B),f19(c2,c5,A,c6,B)) | -apply(B,f18(c2,c5,A,c6,B),f20(c2,c5,A,c6,B)) | -one_to_one(c2,c5,c6) | isomorphism(c2,c5,A,c6,B).  [resolve(62,a,60,a)].
0.89/1.19	63 maps(c3,c6,c4) # label(thII35) # label(negated_conjecture).  [clausify(29)].
0.89/1.19	Derived: -member(A,c4) | -member(B,c4) | -member(C,c6) | -apply(c3,C,B) | -apply(c3,C,A) | A = B.  [resolve(63,a,39,a)].
0.89/1.19	Derived: -member(A,c6) | member(f6(c3,c6,c4,A),c4).  [resolve(63,a,40,a)].
0.89/1.19	Derived: -member(A,c6) | apply(c3,A,f6(c3,c6,c4,A)).  [resolve(63,a,41,a)].
0.89/1.19	64 maps(c1,c4,c5) # label(thII35) # label(negated_conjecture).  [clausify(29)].
0.89/1.19	Derived: -member(A,c5) | -member(B,c5) | -member(C,c4) | -apply(c1,C,B) | -apply(c1,C,A) | A = B.  [resolve(64,a,39,a)].
0.89/1.19	Derived: -member(A,c4) | member(f6(c1,c4,c5,A),c5).  [resolve(64,a,40,a)].
0.89/1.19	Derived: -member(A,c4) | apply(c1,A,f6(c1,c4,c5,A)).  [resolve(64,a,41,a)].
0.89/1.19	Derived: member(f18(c1,c4,A,c5,B),c5) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,53,a)].
0.89/1.19	Derived: apply(c1,f19(c1,c4,A,c5,B),f20(c1,c4,A,c5,B)) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,54,a)].
0.89/1.19	Derived: apply(c1,f17(c1,c4,A,c5,B),f18(c1,c4,A,c5,B)) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,55,a)].
0.89/1.19	Derived: member(f20(c1,c4,A,c5,B),c5) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,56,a)].
0.89/1.19	Derived: member(f19(c1,c4,A,c5,B),c4) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,57,a)].
0.89/1.19	Derived: member(f17(c1,c4,A,c5,B),c4) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,58,a)].
0.89/1.19	Derived: apply(A,f17(c1,c4,A,c5,B),f19(c1,c4,A,c5,B)) | apply(B,f18(c1,c4,A,c5,B),f20(c1,c4,A,c5,B)) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,59,a)].
0.89/1.19	Derived: -apply(A,f17(c1,c4,A,c5,B),f19(c1,c4,A,c5,B)) | -apply(B,f18(c1,c4,A,c5,B),f20(c1,c4,A,c5,B)) | -one_to_one(c1,c4,c5) | isomorphism(c1,c4,A,c5,B).  [resolve(64,a,60,a)].
0.89/1.19	65 injective(A,B,C) | member(f11(A,B,C),B) # label(injective) # label(axiom).  [clausify(15)].
0.89/1.19	66 -injective(A,B,C) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D # label(injective) # label(axiom).  [clausify(15)].
0.89/1.19	Derived: member(f11(A,B,C),B) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D.  [resolve(65,a,66,a)].
0.89/1.19	67 injective(A,B,C) | member(f13(A,B,C),C) # label(injective) # label(axiom).  [clausify(15)].
0.89/1.19	Derived: member(f13(A,B,C),C) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D.  [resolve(67,a,66,a)].
0.89/1.19	68 injective(A,B,C) | member(f12(A,B,C),B) # label(injective) # label(axiom).  [clausify(15)].
0.89/1.19	Derived: member(f12(A,B,C),B) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D.  [resolve(68,a,66,a)].
0.89/1.19	69 injective(A,B,C) | apply(A,f11(A,B,C),f13(A,B,C)) # label(injective) # label(axiom).  [clausify(15)].
0.89/1.19	Derived: apply(A,f11(A,B,C),f13(A,B,C)) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D.  [resolve(69,a,66,a)].
0.89/1.19	70 injective(A,B,C) | apply(A,f12(A,B,C),f13(A,B,C)) # label(injective) # label(axiom).  [clausify(15)].
0.89/1.19	Derived: apply(A,f12(A,B,C),f13(A,B,C)) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D.  [resolve(70,a,66,a)].
0.89/1.19	71 injective(A,B,C) | f12(A,B,C) != f11(A,B,C) # label(injective) # label(axiom).  [clausify(15)].
0.89/1.19	Derived: f12(A,B,C) != f11(A,B,C) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D.  [resolve(71,a,66,a)].
0.89/1.19	72 -one_to_one(A,B,C) | injective(A,B,C) # label(one_to_one) # label(axiom).  [clausify(17)].
0.89/1.21	Derived: -one_to_one(A,B,C) | -member(D,B) | -member(E,C) | -member(F,B) | -apply(A,D,E) | -apply(A,F,E) | F = D.  [resolve(72,b,66,a)].
0.89/1.21	73 one_to_one(A,B,C) | -surjective(A,B,C) | -injective(A,B,C) # label(one_to_one) # label(axiom).  [clausify(17)].
0.89/1.21	Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f11(A,B,C),B).  [resolve(73,c,65,a)].
0.89/1.21	Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f13(A,B,C),C).  [resolve(73,c,67,a)].
0.89/1.21	Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f12(A,B,C),B).  [resolve(73,c,68,a)].
0.89/1.21	Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f11(A,B,C),f13(A,B,C)).  [resolve(73,c,69,a)].
0.89/1.21	Derived: one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f12(A,B,C),f13(A,B,C)).  [resolve(73,c,70,a)].
0.89/1.21	Derived: one_to_one(A,B,C) | -surjective(A,B,C) | f12(A,B,C) != f11(A,B,C).  [resolve(73,c,71,a)].
0.89/1.21	74 inverse_predicate(A,B,C,D) | member(f14(A,B,C,D),C) # label(inverse_predicate) # label(axiom).  [clausify(16)].
0.89/1.21	75 -inverse_predicate(A,B,C,D) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F) # label(inverse_predicate) # label(axiom).  [clausify(16)].
0.89/1.21	76 -inverse_predicate(A,B,C,D) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F) # label(inverse_predicate) # label(axiom).  [clausify(16)].
0.89/1.21	Derived: member(f14(A,B,C,D),C) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F).  [resolve(74,a,75,a)].
0.89/1.21	Derived: member(f14(A,B,C,D),C) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F).  [resolve(74,a,76,a)].
0.89/1.21	77 inverse_predicate(A,B,C,D) | member(f15(A,B,C,D),D) # label(inverse_predicate) # label(axiom).  [clausify(16)].
0.89/1.21	Derived: member(f15(A,B,C,D),D) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F).  [resolve(77,a,75,a)].
0.89/1.21	Derived: member(f15(A,B,C,D),D) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F).  [resolve(77,a,76,a)].
0.89/1.21	78 inverse_predicate(A,B,C,D) | apply(A,f15(A,B,C,D),f14(A,B,C,D)) | apply(B,f14(A,B,C,D),f15(A,B,C,D)) # label(inverse_predicate) # label(axiom).  [clausify(16)].
0.89/1.21	Derived: apply(A,f15(A,B,C,D),f14(A,B,C,D)) | apply(B,f14(A,B,C,D),f15(A,B,C,D)) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F).  [resolve(78,a,75,a)].
0.89/1.21	Derived: apply(A,f15(A,B,C,D),f14(A,B,C,D)) | apply(B,f14(A,B,C,D),f15(A,B,C,D)) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F).  [resolve(78,a,76,a)].
0.89/1.21	79 inverse_predicate(A,B,C,D) | -apply(A,f15(A,B,C,D),f14(A,B,C,D)) | -apply(B,f14(A,B,C,D),f15(A,B,C,D)) # label(inverse_predicate) # label(axiom).  [clausify(16)].
0.89/1.21	Derived: -apply(A,f15(A,B,C,D),f14(A,B,C,D)) | -apply(B,f14(A,B,C,D),f15(A,B,C,D)) | -member(E,C) | -member(F,D) | -apply(A,F,E) | apply(B,E,F).  [resolve(79,a,75,a)].
0.89/1.21	Derived: -apply(A,f15(A,B,C,D),f14(A,B,C,D)) | -apply(B,f14(A,B,C,D),f15(A,B,C,D)) | -member(E,C) | -member(F,D) | apply(A,F,E) | -apply(B,E,F).  [resolve(79,a,76,a)].
0.89/1.21	80 -surjective(A,B,C) | -member(D,C) | apply(A,f26(A,B,C,D),D) # label(surjective) # label(axiom).  [clausify(23)].
0.89/1.21	81 -one_to_one(A,B,C) | surjective(A,B,C) # label(one_to_one) # label(axiom).  [clausify(17)].
0.89/1.21	Derived: -member(A,B) | apply(C,f26(C,D,B,A),A) | -one_to_one(C,D,B).  [resolve(80,a,81,b)].
0.89/1.21	82 -surjective(A,B,C) | -member(D,C) | member(f26(A,B,C,D),B) # label(surjective) # label(axiom).  [clausify(23)].
0.89/1.21	Derived: -member(A,B) | member(f26(C,D,B,A),D) | -one_to_one(C,D,B).  [resolve(82,a,81,b)].
0.89/1.21	83 surjective(A,B,C) | member(f27(A,B,C),C) # label(surjective) # label(axiom).  [clausify(23)].
0.89/1.21	Derived: member(f27(A,B,C),C) | -member(D,C) | apply(A,f26(A,B,C,D),D).  [resolve(83,a,80,a)].
0.89/1.21	Derived: member(f27(A,B,C),C) | -member(D,C) | member(f26(A,B,C,D),B).  [resolve(83,a,82,a)].
0.89/1.21	84 surjective(A,B,C) | -apply(A,D,f27(A,B,C)) | -member(D,B) # label(surjective) # label(axiom).  [clausify(23)].
0.89/1.21	Derived: -apply(A,B,f27(A,C,D)) | -member(B,C) | -member(E,D) | apply(A,f26(A,C,D,E),E).  [resolve(84,a,80,a)].
0.89/1.21	Derived: -apply(A,B,f27(A,C,D)) | -member(B,C) | -member(E,D) | member(f26(A,C,D,E),C).  [resolve(84,a,82,a)].
0.89/1.21	85 one_to_one(A,B,C) | -surjective(A,B,C) | member(f11(A,B,C),B).  [resolve(73,c,65,a)].
0.89/1.21	Derived: one_to_one(A,B,C) | member(f11(A,B,C),B) | member(f27(A,B,C),C).  [resolve(85,b,83,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | member(f11(A,B,C),B) | -apply(A,D,f27(A,B,C)) | -member(D,B).  [resolve(85,b,84,a)].
0.89/1.22	86 one_to_one(A,B,C) | -surjective(A,B,C) | member(f13(A,B,C),C).  [resolve(73,c,67,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | member(f13(A,B,C),C) | member(f27(A,B,C),C).  [resolve(86,b,83,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | member(f13(A,B,C),C) | -apply(A,D,f27(A,B,C)) | -member(D,B).  [resolve(86,b,84,a)].
0.89/1.22	87 one_to_one(A,B,C) | -surjective(A,B,C) | member(f12(A,B,C),B).  [resolve(73,c,68,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | member(f12(A,B,C),B) | member(f27(A,B,C),C).  [resolve(87,b,83,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | member(f12(A,B,C),B) | -apply(A,D,f27(A,B,C)) | -member(D,B).  [resolve(87,b,84,a)].
0.89/1.22	88 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f11(A,B,C),f13(A,B,C)).  [resolve(73,c,69,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | apply(A,f11(A,B,C),f13(A,B,C)) | member(f27(A,B,C),C).  [resolve(88,b,83,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | apply(A,f11(A,B,C),f13(A,B,C)) | -apply(A,D,f27(A,B,C)) | -member(D,B).  [resolve(88,b,84,a)].
0.89/1.22	89 one_to_one(A,B,C) | -surjective(A,B,C) | apply(A,f12(A,B,C),f13(A,B,C)).  [resolve(73,c,70,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | apply(A,f12(A,B,C),f13(A,B,C)) | member(f27(A,B,C),C).  [resolve(89,b,83,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | apply(A,f12(A,B,C),f13(A,B,C)) | -apply(A,D,f27(A,B,C)) | -member(D,B).  [resolve(89,b,84,a)].
0.89/1.22	90 one_to_one(A,B,C) | -surjective(A,B,C) | f12(A,B,C) != f11(A,B,C).  [resolve(73,c,71,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | f12(A,B,C) != f11(A,B,C) | member(f27(A,B,C),C).  [resolve(90,b,83,a)].
0.89/1.22	Derived: one_to_one(A,B,C) | f12(A,B,C) != f11(A,B,C) | -apply(A,D,f27(A,B,C)) | -member(D,B).  [resolve(90,b,84,a)].
0.89/1.22	91 decreasing(A,B,C,D,E) | member(f22(A,B,C,D,E),D) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	92 -decreasing(A,B,C,D,E) | -member(F,D) | -apply(C,V6,V7) | -apply(A,V6,F) | -apply(A,V7,V8) | -member(V8,D) | -member(V7,B) | -member(V6,B) | apply(E,V8,F) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	Derived: member(f22(A,B,C,D,E),D) | -member(F,D) | -apply(C,V6,V7) | -apply(A,V6,F) | -apply(A,V7,V8) | -member(V8,D) | -member(V7,B) | -member(V6,B) | apply(E,V8,F).  [resolve(91,a,92,a)].
0.89/1.22	93 decreasing(A,B,C,D,E) | apply(C,f21(A,B,C,D,E),f23(A,B,C,D,E)) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	Derived: apply(A,f21(B,C,A,D,E),f23(B,C,A,D,E)) | -member(F,D) | -apply(A,V6,V7) | -apply(B,V6,F) | -apply(B,V7,V8) | -member(V8,D) | -member(V7,C) | -member(V6,C) | apply(E,V8,F).  [resolve(93,a,92,a)].
0.89/1.22	94 decreasing(A,B,C,D,E) | apply(A,f21(A,B,C,D,E),f22(A,B,C,D,E)) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	Derived: apply(A,f21(A,B,C,D,E),f22(A,B,C,D,E)) | -member(F,D) | -apply(C,V6,V7) | -apply(A,V6,F) | -apply(A,V7,V8) | -member(V8,D) | -member(V7,B) | -member(V6,B) | apply(E,V8,F).  [resolve(94,a,92,a)].
0.89/1.22	95 decreasing(A,B,C,D,E) | apply(A,f23(A,B,C,D,E),f24(A,B,C,D,E)) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	Derived: apply(A,f23(A,B,C,D,E),f24(A,B,C,D,E)) | -member(F,D) | -apply(C,V6,V7) | -apply(A,V6,F) | -apply(A,V7,V8) | -member(V8,D) | -member(V7,B) | -member(V6,B) | apply(E,V8,F).  [resolve(95,a,92,a)].
0.89/1.22	96 decreasing(A,B,C,D,E) | member(f24(A,B,C,D,E),D) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	Derived: member(f24(A,B,C,D,E),D) | -member(F,D) | -apply(C,V6,V7) | -apply(A,V6,F) | -apply(A,V7,V8) | -member(V8,D) | -member(V7,B) | -member(V6,B) | apply(E,V8,F).  [resolve(96,a,92,a)].
0.89/1.22	97 decreasing(A,B,C,D,E) | member(f23(A,B,C,D,E),B) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	Derived: member(f23(A,B,C,D,E),B) | -member(F,D) | -apply(C,V6,V7) | -apply(A,V6,F) | -apply(A,V7,V8) | -member(V8,D) | -member(V7,B) | -member(V6,B) | apply(E,V8,F).  [resolve(97,a,92,a)].
0.89/1.22	98 decreasing(A,B,C,D,E) | member(f21(A,B,C,D,E),B) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.22	Derived: member(f21(A,B,C,D,E),B) | -member(F,D) | -apply(C,V6,V7) | -apply(A,V6,F) | -apply(A,V7,V8) | -member(V8,D) | -member(V7,B) | -member(V6,B) | apply(E,V8,F).  [resolve(98,a,92,a)].
0.89/1.24	99 decreasing(A,B,C,D,E) | -apply(E,f24(A,B,C,D,E),f22(A,B,C,D,E)) # label(decreasing_function) # label(axiom).  [clausify(21)].
0.89/1.24	Derived: -apply(A,f24(B,C,D,E,A),f22(B,C,D,E,A)) | -member(F,E) | -apply(D,V6,V7) | -apply(B,V6,F) | -apply(B,V7,V8) | -member(V8,E) | -member(V7,C) | -member(V6,C) | apply(A,V8,F).  [resolve(99,a,92,a)].
0.89/1.24	100 -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | -equal_maps(V6,F,B,D) # label(equal_maps) # label(axiom).  [clausify(24)].
0.89/1.24	101 member(f28(A,B,C,D),C) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom).  [clausify(24)].
0.89/1.24	102 member(f30(A,B,C,D),D) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom).  [clausify(24)].
0.89/1.24	103 member(f29(A,B,C,D),D) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom).  [clausify(24)].
0.89/1.24	104 apply(A,f28(B,A,C,D),f30(B,A,C,D)) | equal_maps(B,A,C,D) # label(equal_maps) # label(axiom).  [clausify(24)].
0.89/1.24	105 apply(A,f28(A,B,C,D),f29(A,B,C,D)) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom).  [clausify(24)].
0.89/1.24	106 f30(A,B,C,D) != f29(A,B,C,D) | equal_maps(A,B,C,D) # label(equal_maps) # label(axiom).  [clausify(24)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | member(f28(V6,F,B,D),B).  [resolve(100,g,101,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | member(f30(V6,F,B,D),D).  [resolve(100,g,102,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | member(f29(V6,F,B,D),D).  [resolve(100,g,103,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | apply(F,f28(V6,F,B,D),f30(V6,F,B,D)).  [resolve(100,g,104,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | apply(V6,f28(V6,F,B,D),f29(V6,F,B,D)).  [resolve(100,g,105,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -member(E,D) | -apply(F,A,C) | -apply(V6,A,E) | C = E | f30(V6,F,B,D) != f29(V6,F,B,D).  [resolve(100,g,106,b)].
0.89/1.24	107 -member(A,B) | -member(C,D) | -apply(E,A,C) | member(f34(E,F,V6,B,V7,D,A,C),V7) | -compose_predicate(E,F,V6,B,V7,D) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	108 member(f31(A,B,C,D,E,F),D) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	109 member(f32(A,B,C,D,E,F),F) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	110 apply(A,f31(A,B,C,D,E,F),f32(A,B,C,D,E,F)) | member(f33(A,B,C,D,E,F),E) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	111 apply(A,f31(A,B,C,D,E,F),f32(A,B,C,D,E,F)) | apply(B,f33(A,B,C,D,E,F),f32(A,B,C,D,E,F)) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	112 apply(A,f31(A,B,C,D,E,F),f32(A,B,C,D,E,F)) | apply(C,f31(A,B,C,D,E,F),f33(A,B,C,D,E,F)) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	113 -apply(A,f31(A,B,C,D,E,F),f32(A,B,C,D,E,F)) | -member(V6,E) | -apply(B,V6,f32(A,B,C,D,E,F)) | -apply(C,f31(A,B,C,D,E,F),V6) | compose_predicate(A,B,C,D,E,F) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | member(f34(E,F,V6,B,V7,D,A,C),V7) | member(f31(E,F,V6,B,V7,D),B).  [resolve(107,e,108,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | member(f34(E,F,V6,B,V7,D,A,C),V7) | member(f32(E,F,V6,B,V7,D),D).  [resolve(107,e,109,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | member(f34(E,F,V6,B,V7,D,A,C),V7) | apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | member(f33(E,F,V6,B,V7,D),V7).  [resolve(107,e,110,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | member(f34(E,F,V6,B,V7,D,A,C),V7) | apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | apply(F,f33(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)).  [resolve(107,e,111,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | member(f34(E,F,V6,B,V7,D,A,C),V7) | apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | apply(V6,f31(E,F,V6,B,V7,D),f33(E,F,V6,B,V7,D)).  [resolve(107,e,112,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | member(f34(E,F,V6,B,V7,D,A,C),V7) | -apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | -member(V8,V7) | -apply(F,V8,f32(E,F,V6,B,V7,D)) | -apply(V6,f31(E,F,V6,B,V7,D),V8).  [resolve(107,e,113,e)].
0.89/1.24	114 -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,f34(E,F,V6,B,V7,D,A,C),C) | -compose_predicate(E,F,V6,B,V7,D) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,f34(E,F,V6,B,V7,D,A,C),C) | member(f31(E,F,V6,B,V7,D),B).  [resolve(114,e,108,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,f34(E,F,V6,B,V7,D,A,C),C) | member(f32(E,F,V6,B,V7,D),D).  [resolve(114,e,109,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,f34(E,F,V6,B,V7,D,A,C),C) | apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | member(f33(E,F,V6,B,V7,D),V7).  [resolve(114,e,110,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,f34(E,F,V6,B,V7,D,A,C),C) | apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | apply(F,f33(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)).  [resolve(114,e,111,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,f34(E,F,V6,B,V7,D,A,C),C) | apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | apply(V6,f31(E,F,V6,B,V7,D),f33(E,F,V6,B,V7,D)).  [resolve(114,e,112,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,f34(E,F,V6,B,V7,D,A,C),C) | -apply(E,f31(E,F,V6,B,V7,D),f32(E,F,V6,B,V7,D)) | -member(V8,V7) | -apply(F,V8,f32(E,F,V6,B,V7,D)) | -apply(V6,f31(E,F,V6,B,V7,D),V8).  [resolve(114,e,113,e)].
0.89/1.24	115 -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,A,f34(E,V6,F,B,V7,D,A,C)) | -compose_predicate(E,V6,F,B,V7,D) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,A,f34(E,V6,F,B,V7,D,A,C)) | member(f31(E,V6,F,B,V7,D),B).  [resolve(115,e,108,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,A,f34(E,V6,F,B,V7,D,A,C)) | member(f32(E,V6,F,B,V7,D),D).  [resolve(115,e,109,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,A,f34(E,V6,F,B,V7,D,A,C)) | apply(E,f31(E,V6,F,B,V7,D),f32(E,V6,F,B,V7,D)) | member(f33(E,V6,F,B,V7,D),V7).  [resolve(115,e,110,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,A,f34(E,V6,F,B,V7,D,A,C)) | apply(E,f31(E,V6,F,B,V7,D),f32(E,V6,F,B,V7,D)) | apply(V6,f33(E,V6,F,B,V7,D),f32(E,V6,F,B,V7,D)).  [resolve(115,e,111,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,A,f34(E,V6,F,B,V7,D,A,C)) | apply(E,f31(E,V6,F,B,V7,D),f32(E,V6,F,B,V7,D)) | apply(F,f31(E,V6,F,B,V7,D),f33(E,V6,F,B,V7,D)).  [resolve(115,e,112,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | -apply(E,A,C) | apply(F,A,f34(E,V6,F,B,V7,D,A,C)) | -apply(E,f31(E,V6,F,B,V7,D),f32(E,V6,F,B,V7,D)) | -member(V8,V7) | -apply(V6,V8,f32(E,V6,F,B,V7,D)) | -apply(F,f31(E,V6,F,B,V7,D),V8).  [resolve(115,e,113,e)].
0.89/1.24	116 -member(A,B) | -member(C,D) | apply(E,A,C) | -member(F,V6) | -apply(V7,F,C) | -apply(V8,A,F) | -compose_predicate(E,V7,V8,B,V6,D) # label(compose_predicate) # label(axiom).  [clausify(25)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -member(F,V6) | -apply(V7,F,C) | -apply(V8,A,F) | member(f31(E,V7,V8,B,V6,D),B).  [resolve(116,g,108,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -member(F,V6) | -apply(V7,F,C) | -apply(V8,A,F) | member(f32(E,V7,V8,B,V6,D),D).  [resolve(116,g,109,b)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -member(F,V6) | -apply(V7,F,C) | -apply(V8,A,F) | apply(E,f31(E,V7,V8,B,V6,D),f32(E,V7,V8,B,V6,D)) | member(f33(E,V7,V8,B,V6,D),V6).  [resolve(116,g,110,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -member(F,V6) | -apply(V7,F,C) | -apply(V8,A,F) | apply(E,f31(E,V7,V8,B,V6,D),f32(E,V7,V8,B,V6,D)) | apply(V7,f33(E,V7,V8,B,V6,D),f32(E,V7,V8,B,V6,D)).  [resolve(116,g,111,c)].
0.89/1.24	Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -member(F,V6) | -apply(V7,F,C) | -apply(V8,A,F) | apply(E,f31(E,V7,V8,B,V6,D),f32(E,V7,V8,B,V6,D)) | apply(V8,f31(E,V7,V8,B,V6,D),f33(E,V7,V8,B,V6,D)).  [resolve(116,g,112,c)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | apply(E,A,C) | -member(F,V6) | -apply(V7,F,C) | -apply(V8,A,F) | -apply(E,f31(E,V7,V8,B,V6,D),f32(E,V7,V8,B,V6,D)) | -member(V9,V6) | -apply(V7,V9,f32(E,V7,V8,B,V6,D)) | -apply(V8,f31(E,V7,V8,B,V6,D),V9).  [resolve(116,g,113,e)].
0.89/1.60	117 -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | -increasing(F,D,V7,B,V8) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	118 member(f36(A,B,C,D,E),D) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	119 member(f37(A,B,C,D,E),B) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	120 member(f38(A,B,C,D,E),D) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	121 apply(A,f35(A,B,C,D,E),f36(A,B,C,D,E)) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	122 apply(A,f37(A,B,C,D,E),f38(A,B,C,D,E)) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	123 apply(A,f35(B,C,A,D,E),f37(B,C,A,D,E)) | increasing(B,C,A,D,E) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	124 member(f35(A,B,C,D,E),B) | increasing(A,B,C,D,E) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	125 -apply(A,f36(B,C,D,E,A),f38(B,C,D,E,A)) | increasing(B,C,D,E,A) # label(increasing_function) # label(axiom).  [clausify(26)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | member(f36(F,D,V7,B,V8),B).  [resolve(117,i,118,b)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | member(f37(F,D,V7,B,V8),D).  [resolve(117,i,119,b)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | member(f38(F,D,V7,B,V8),B).  [resolve(117,i,120,b)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | apply(F,f35(F,D,V7,B,V8),f36(F,D,V7,B,V8)).  [resolve(117,i,121,b)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | apply(F,f37(F,D,V7,B,V8),f38(F,D,V7,B,V8)).  [resolve(117,i,122,b)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | apply(V7,f35(F,D,V7,B,V8),f37(F,D,V7,B,V8)).  [resolve(117,i,123,b)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | member(f35(F,D,V7,B,V8),D).  [resolve(117,i,124,b)].
0.89/1.60	Derived: -member(A,B) | -member(C,D) | -member(E,B) | -apply(F,V6,A) | -apply(F,C,E) | -apply(V7,V6,C) | -member(V6,D) | apply(V8,A,E) | -apply(V8,f36(F,D,V7,B,V8),f38(F,D,V7,B,V8)).  [resolve(117,i,125,b)].
0.89/1.60	126 -member(A,B) | apply(C,A,A) | -identity(C,B) # label(identity) # label(axiom).  [clausify(28)].
0.89/1.60	127 member(f40(A,B),B) | identity(A,B) # label(identity) # label(axiom).  [clausify(28)].
0.89/1.60	128 -apply(A,f40(A,B),f40(A,B)) | identity(A,B) # label(identity) # label(axiom).  [clausify(28)].
0.89/1.60	Derived: -member(A,B) | apply(C,A,A) | member(f40(C,B),B).  [resolve(126,c,127,b)].
0.89/1.60	Derived: -member(A,B) | apply(C,A,A) | -apply(C,f40(C,B),f40(C,B)).  [resolve(126,c,128,b)].
0.89/1.60	
0.89/1.60	============================== end predicate elimination =============
0.89/1.60	
0.89/1.60	Auto_denials:  (non-Horn, no changes).
0.89/1.60	
0.89/1.60	Term ordering decisions:
0.89/1.60	Function symbol KB weights:  empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. image2=1. intersection=1. inverse_image2=1. union=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f40=1. power_set=1. product=1. sum=1. singleton=1. image3=1. inverse_image3=1. inverse_function=1. f4=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f16=1. f27=1. f5=1. f6=1. f14=1. f15=1. f26=1. f28=1. f29=1. f30=1. f39=1. compose_function=1. f17=1. f18=1. f19=1. f20=1. f21=1. f22=1. f23=1. f24=1. f35=1. f36=1. f37=1. f38=1. f31=1. f32=1. f33=1. f25=1. f34=1.
33.44/33.80	
33.44/33.80	============================== end of process initial clauses ========
33.44/33.80	
33.44/33.80	============================== CLAUSES FOR SEARCH ====================
33.44/33.80	
33.44/33.80	============================== end of clauses for search =============
33.44/33.80	
33.44/33.80	============================== SEARCH ================================
33.44/33.80	
33.44/33.80	% Starting search at 0.44 seconds.
33.44/33.80	
33.44/33.80	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.65 sec).
33.44/33.80	
33.44/33.80	Low Water (keep): wt=198.000, iters=3352
33.44/33.80	
33.44/33.80	Low Water (keep): wt=166.000, iters=3351
33.44/33.80	
33.44/33.80	Low Water (keep): wt=155.000, iters=3351
33.44/33.80	
33.44/33.80	Low Water (keep): wt=151.000, iters=3354
33.44/33.80	
33.44/33.80	Low Water (keep): wt=144.000, iters=3420
33.44/33.80	
33.44/33.80	Low Water (keep): wt=130.000, iters=3356
33.44/33.80	
33.44/33.80	Low Water (keep): wt=118.000, iters=3375
33.44/33.80	
33.44/33.80	Low Water (keep): wt=105.000, iters=3345
33.44/33.80	
33.44/33.80	Low Water (keep): wt=100.000, iters=3343
33.44/33.80	
33.44/33.80	Low Water (keep): wt=97.000, iters=3355
33.44/33.80	
33.44/33.80	Low Water (keep): wt=95.000, iters=3368
33.44/33.80	
33.44/33.80	Low Water (keep): wt=93.000, iters=3333
33.44/33.80	
33.44/33.80	Low Water (keep): wt=89.000, iters=3333
33.44/33.80	
33.44/33.80	Low Water (keep): wt=88.000, iters=3335
33.44/33.80	
33.44/33.80	Low Water (keep): wt=82.000, iters=3490
33.44/33.80	
33.44/33.80	Low Water (keep): wt=81.000, iters=3410
33.44/33.80	
33.44/33.80	Low Water (keep): wt=76.000, iters=3395
33.44/33.80	
33.44/33.80	Low Water (keep): wt=73.000, iters=3341
33.44/33.80	
33.44/33.80	Low Water (keep): wt=71.000, iters=3350
33.44/33.80	
33.44/33.80	Low Water (keep): wt=43.000, iters=4311
33.44/33.80	
33.44/33.80	Low Water (keep): wt=42.000, iters=4237
33.44/33.80	
33.44/33.80	Low Water (keep): wt=40.000, iters=4071
33.44/33.80	
33.44/33.80	Low Water (keep): wt=39.000, iters=4026
33.44/33.80	
33.44/33.80	Low Water (keep): wt=36.000, iters=3817
33.44/33.80	
33.44/33.80	Low Water (keep): wt=35.000, iters=3730
33.44/33.80	
33.44/33.80	Low Water (keep): wt=29.000, iters=3391
33.44/33.80	
33.44/33.80	Low Water (keep): wt=27.000, iters=3426
33.44/33.80	
33.44/33.80	Low Water (keep): wt=26.000, iters=3403
33.44/33.80	
33.44/33.80	Low Water (keep): wt=19.000, iters=3358
33.44/33.80	
33.44/33.80	Low Water (keep): wt=18.000, iters=3339
33.44/33.80	
33.44/33.80	Low Water (displace): id=7657, wt=198.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6163, wt=179.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6158, wt=173.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6249, wt=171.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6165, wt=167.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7676, wt=166.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6248, wt=165.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7673, wt=162.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7674, wt=159.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7667, wt=155.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6171, wt=153.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7677, wt=151.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6170, wt=150.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6336, wt=149.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6347, wt=146.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6345, wt=145.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6250, wt=144.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6360, wt=143.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6365, wt=139.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6251, wt=138.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6259, wt=137.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6331, wt=136.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6293, wt=133.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6384, wt=132.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6265, wt=131.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6387, wt=129.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6361, wt=127.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7682, wt=125.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6332, wt=124.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6286, wt=122.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6954, wt=121.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6302, wt=119.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7683, wt=118.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7300, wt=116.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6379, wt=115.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6953, wt=113.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7304, wt=112.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=6389, wt=110.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7684, wt=109.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7299, wt=108.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7638, wt=106.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7265, wt=105.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=7303, wt=104.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=12060, wt=12.000
33.44/33.80	
33.44/33.80	Low Water (displace): id=12062, wt=10.000
33.44/33.80	
33.44/33.80	Low Water (keep): wt=15.000, iters=3800
33.44/33.80	
33.44/33.80	Low Water (keep): wt=13.000, iters=3352
33.44/33.80	
33.44/33.80	Low Water (displace): id=12222, wt=9.000
33.44/33.80	
33.44/33.80	Low Water (keep): wt=12.000, iters=3700
33.44/33.80	
33.44/33.80	Low Water (keep): wt=11.000, iteAlarm clock 
119.40/120.02	Prover9 interrupted
119.40/120.02	EOF