TSTP Solution File: SET761+4 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET761+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 04:31:54 EDT 2022
% Result : Timeout 300.01s 300.27s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET761+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n008.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 : Sat Jul 9 17:22:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.78/1.04 ============================== Prover9 ===============================
% 0.78/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.04 Process 24489 was started by sandbox2 on n008.cluster.edu,
% 0.78/1.04 Sat Jul 9 17:22:24 2022
% 0.78/1.04 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_24335_n008.cluster.edu".
% 0.78/1.04 ============================== end of head ===========================
% 0.78/1.04
% 0.78/1.04 ============================== INPUT =================================
% 0.78/1.04
% 0.78/1.04 % Reading from file /tmp/Prover9_24335_n008.cluster.edu
% 0.78/1.04
% 0.78/1.04 set(prolog_style_variables).
% 0.78/1.04 set(auto2).
% 0.78/1.04 % set(auto2) -> set(auto).
% 0.78/1.04 % set(auto) -> set(auto_inference).
% 0.78/1.04 % set(auto) -> set(auto_setup).
% 0.78/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.78/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.04 % set(auto) -> set(auto_limits).
% 0.78/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.04 % set(auto) -> set(auto_denials).
% 0.78/1.04 % set(auto) -> set(auto_process).
% 0.78/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.78/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.78/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.78/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.78/1.04 % set(auto2) -> assign(stats, some).
% 0.78/1.04 % set(auto2) -> clear(echo_input).
% 0.78/1.04 % set(auto2) -> set(quiet).
% 0.78/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.04 % set(auto2) -> clear(print_given).
% 0.78/1.04 assign(lrs_ticks,-1).
% 0.78/1.04 assign(sos_limit,10000).
% 0.78/1.04 assign(order,kbo).
% 0.78/1.04 set(lex_order_vars).
% 0.78/1.04 clear(print_given).
% 0.78/1.04
% 0.78/1.04 % formulas(sos). % not echoed (29 formulas)
% 0.78/1.04
% 0.78/1.04 ============================== end of input ==========================
% 0.78/1.04
% 0.78/1.04 % From the command line: assign(max_seconds, 300).
% 0.78/1.04
% 0.78/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.04
% 0.78/1.04 % Formulas that are not ordinary clauses:
% 0.78/1.04 1 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.04 2 (all A all B (equal_set(A,B) <-> subset(A,B) & subset(B,A))) # label(equal_set) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.04 3 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.04 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].
% 0.78/1.04 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].
% 0.78/1.04 6 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.04 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].
% 0.78/1.04 8 (all X all A (member(X,singleton(A)) <-> X = A)) # label(singleton) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.04 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].
% 0.78/1.04 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].
% 0.78/1.04 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].
% 0.78/1.04 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].
% 0.78/1.04 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 29 -(all F all A all B all X all Y (maps(F,A,B) & injective(F,A,B) & subset(X,A) & subset(Y,A) -> equal_set(image3(F,intersection(X,Y),B),intersection(image3(F,X,B),image3(F,Y,B))))) # label(thIIa11) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.78/1.05
% 0.78/1.05 ============================== end of process non-clausal formulas ===
% 0.78/1.05
% 0.78/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.05
% 0.78/1.05 ============================== PREDICATE ELIMINATION =================
% 0.78/1.05 30 maps(A,B,C) | member(f5(A,B,C),B) | member(f6(A,B,C),B) # label(maps) # label(axiom). [clausify(12)].
% 0.78/1.05 31 -maps(A,B,C) | -member(D,B) | member(f4(A,B,C,D),C) # label(maps) # label(axiom). [clausify(12)].
% 0.78/1.05 32 -maps(A,B,C) | -member(D,B) | apply(A,D,f4(A,B,C,D)) # label(maps) # label(axiom). [clausify(12)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 34 maps(A,B,C) | member(f5(A,B,C),B) | member(f7(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 35 maps(A,B,C) | member(f5(A,B,C),B) | member(f8(A,B,C),C) # label(maps) # label(axiom). [clausify(12)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 45 -isomorphism(A,B,C,D,E) | maps(A,B,D) # label(isomorphism) # label(axiom). [clausify(28)].
% 0.78/1.05 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | member(f4(A,B,D,F),D). [resolve(45,b,31,a)].
% 0.78/1.05 Derived: -isomorphism(A,B,C,D,E) | -member(F,B) | apply(A,F,f4(A,B,D,F)). [resolve(45,b,32,a)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.05 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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)].
% 0.78/1.06 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) | member(f6(A,B,D),B). [resolve(52,b,30,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) | member(f7(A,B,D),D). [resolve(52,b,34,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) | member(f8(A,B,D),D). [resolve(52,b,35,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),f7(A,B,D)). [resolve(52,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(52,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(52,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(52,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(52,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(52,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(52,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(52,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(52,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(52,b,45,b)].
% 0.78/1.06 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)].
% 0.78/1.06 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) | member(f6(A,B,D),B). [resolve(53,b,30,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) | member(f7(A,B,D),D). [resolve(53,b,34,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) | member(f8(A,B,D),D). [resolve(53,b,35,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),f7(A,B,D)). [resolve(53,b,36,a)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 54 maps(c1,c2,c3) # label(thIIa11) # label(negated_conjecture). [clausify(29)].
% 0.82/1.07 Derived: -member(A,c2) | member(f4(c1,c2,c3,A),c3). [resolve(54,a,31,a)].
% 0.82/1.07 Derived: -member(A,c2) | apply(c1,A,f4(c1,c2,c3,A)). [resolve(54,a,32,a)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.07 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 65 equal_maps(A,B,C,D) | member(f14(A,B,C,D),C) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 67 equal_maps(A,B,C,D) | member(f15(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.82/1.11 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)].
% 0.82/1.11 68 equal_maps(A,B,C,D) | member(f16(A,B,C,D),D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.11 71 equal_maps(A,B,C,D) | f16(A,B,C,D) != f15(A,B,C,D) # label(equal_maps) # label(axiom). [clausify(15)].
% 0.82/1.11 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)].
% 0.82/1.11 72 identity(A,B) | member(f17(A,B),B) # label(identity) # label(axiom). [clausify(16)].
% 0.82/1.11 73 -identity(A,B) | -member(C,B) | apply(A,C,C) # label(identity) # label(axiom). [clausify(16)].
% 0.82/1.11 Derived: member(f17(A,B),B) | -member(C,B) | apply(A,C,C). [resolve(72,a,73,a)].
% 0.82/1.11 74 identity(A,B) | -apply(A,f17(A,B),f17(A,B)) # label(identity) # label(axiom). [clausify(16)].
% 0.82/1.11 Derived: -apply(A,f17(A,B),f17(A,B)) | -member(C,B) | apply(A,C,C). [resolve(74,a,73,a)].
% 0.82/1.11 75 injective(A,B,C) | member(f18(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.82/1.11 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)].
% 0.82/1.11 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)].
% 0.82/1.12 77 injective(A,B,C) | member(f19(A,B,C),B) # label(injective) # label(axiom). [clausify(17)].
% 0.82/1.12 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)].
% 0.82/1.12 78 injective(A,B,C) | member(f20(A,B,C),C) # label(injective) # label(axiom). [clausify(17)].
% 0.82/1.12 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)].
% 0.82/1.12 79 injective(A,B,C) | apply(A,f18(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.82/1.12 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)].
% 0.82/1.12 80 injective(A,B,C) | apply(A,f19(A,B,C),f20(A,B,C)) # label(injective) # label(axiom). [clausify(17)].
% 0.82/1.12 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)].
% 0.82/1.12 81 injective(A,B,C) | f19(A,B,C) != f18(A,B,C) # label(injective) # label(axiom). [clausify(17)].
% 0.82/1.12 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)].
% 0.82/1.12 82 -one_to_one(A,B,C) | injective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.82/1.12 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)].
% 0.82/1.12 83 one_to_one(A,B,C) | -injective(A,B,C) | -surjective(A,B,C) # label(one_to_one) # label(axiom). [clausify(19)].
% 0.82/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f18(A,B,C),B). [resolve(83,b,75,a)].
% 0.82/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f19(A,B,C),B). [resolve(83,b,77,a)].
% 0.82/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | member(f20(A,B,C),C). [resolve(83,b,78,a)].
% 0.82/1.12 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)].
% 0.82/1.12 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)].
% 0.82/1.12 Derived: one_to_one(A,B,C) | -surjective(A,B,C) | f19(A,B,C) != f18(A,B,C). [resolve(83,b,81,a)].
% 0.82/1.12 84 injective(c1,c2,c3) # label(thIIa11) # label(negated_conjecture). [clausify(29)].
% 0.82/1.12 Derived: -member(A,c2) | -member(B,c2) | -member(C,c3) | -apply(c1,A,C) | -apply(c1,B,C) | B = A. [resolve(84,a,76,a)].
% 0.82/1.12 Derived: one_to_one(c1,c2,c3) | -surjective(c1,c2,c3). [resolve(84,a,83,b)].
% 0.82/1.12 85 inverse_predicate(A,B,C,D) | member(f23(A,B,C,D),C) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.82/1.12 86 -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)].
% 0.82/1.12 87 -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)].
% 0.82/1.12 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(85,a,86,a)].
% 0.82/1.12 Derived: member(f23(A,B,C,D),C) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(85,a,87,a)].
% 0.82/1.12 88 inverse_predicate(A,B,C,D) | member(f24(A,B,C,D),D) # label(inverse_predicate) # label(axiom). [clausify(20)].
% 0.82/1.12 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | -apply(B,E,F) | apply(A,F,E). [resolve(88,a,86,a)].
% 0.82/1.12 Derived: member(f24(A,B,C,D),D) | -member(E,C) | -member(F,D) | apply(B,E,F) | -apply(A,F,E). [resolve(88,a,87,a)].
% 0.82/1.12 89 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)].
% 0.82/1.12 Derived: apply(A,f23(B,A,C,D),f24(B,A,C,D)) | apply(B,f24(B,A,C,D),f23(B,A,C,D)) | -member(E,C) | -member(F,D) | -apply(A,E,F) | apply(B,F,E). [resolve(89,a,86,a)].
% 0.82/1.12 Derived: apply(A,f23(B,A,C,D),f24(B,A,C,D)) | apply(B,f24(B,A,C,D),f23(B,A,C,D)) | -member(E,C) | -member(F,D) | apply(A,E,F) | -apply(B,F,E). [resolve(89,a,87,a)].
% 0.82/1.12 90 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)].
% 0.88/1.14 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(90,a,86,a)].
% 0.88/1.14 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(90,a,87,a)].
% 0.88/1.14 91 increasing(A,B,C,D,E) | member(f29(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.88/1.14 92 -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)].
% 0.88/1.14 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(91,a,92,a)].
% 0.88/1.14 93 increasing(A,B,C,D,E) | member(f30(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.88/1.14 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(93,a,92,a)].
% 0.88/1.14 94 increasing(A,B,C,D,E) | member(f31(A,B,C,D,E),B) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.88/1.14 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(94,a,92,a)].
% 0.88/1.14 95 increasing(A,B,C,D,E) | member(f32(A,B,C,D,E),D) # label(increasing_function) # label(axiom). [clausify(26)].
% 0.88/1.14 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(95,a,92,a)].
% 0.88/1.14 96 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)].
% 0.88/1.14 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(96,a,92,a)].
% 0.88/1.14 97 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)].
% 0.88/1.14 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(97,a,92,a)].
% 0.88/1.14 98 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)].
% 0.88/1.14 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(98,a,92,a)].
% 0.88/1.14 99 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)].
% 0.88/1.14 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(99,a,92,a)].
% 0.88/1.14 100 decreasing(A,B,C,D,E) | member(f33(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.88/1.14 101 -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)].
% 0.88/1.14 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(100,a,101,a)].
% 0.88/1.14 102 decreasing(A,B,C,D,E) | member(f34(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 0.88/1.14 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(102,a,101,a)].
% 0.88/1.14 103 decreasing(A,B,C,D,E) | member(f35(A,B,C,D,E),B) # label(decreasing_function) # label(axiom). [clausify(27)].
% 3.12/3.40 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(103,a,101,a)].
% 3.12/3.40 104 decreasing(A,B,C,D,E) | member(f36(A,B,C,D,E),D) # label(decreasing_function) # label(axiom). [clausify(27)].
% 3.12/3.40 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(104,a,101,a)].
% 3.12/3.40 105 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)].
% 3.12/3.40 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(105,a,101,a)].
% 3.12/3.40 106 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)].
% 3.12/3.40 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(106,a,101,a)].
% 3.12/3.40 107 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)].
% 3.12/3.40 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(107,a,101,a)].
% 3.12/3.40 108 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)].
% 3.12/3.40 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(108,a,101,a)].
% 3.12/3.40
% 3.12/3.40 ============================== end predicate elimination =============
% 3.12/3.40
% 3.12/3.40 Auto_denials: (non-Horn, no changes).
% 3.12/3.40
% 3.12/3.40 Term ordering decisions:
% 3.12/3.40 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.
% 3.12/3.40
% 3.12/3.40 ============================== end of process initial clauses ========
% 3.12/3.40
% 3.12/3.40 ============================== CLAUSES FOR SEARCH ====================
% 3.12/3.40
% 3.12/3.40 ============================== end of clauses for search =============
% 3.12/3.40
% 3.12/3.40 ============================== SEARCH ================================
% 3.12/3.40
% 3.12/3.40 % Starting search at 0.34 seconds.
% 3.12/3.40
% 3.12/3.40 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.40 sec).
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=171.000, iters=3451
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=165.000, iters=3400
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=144.000, iters=3335
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=143.000, iters=3334
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=133.000, iters=3369
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=127.000, iters=3352
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=124.000, iters=3335
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=119.000, iters=3355
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=118.000, iters=3345
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=116.000, iters=3333
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=103.000, iters=3445
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=95.000, iters=3336
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=91.000, iters=3438
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=89.000, iters=3422
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=87.000, iters=3335
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=83.000, iters=3333
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=82.000, iters=3361
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=81.000, iters=3391
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=80.000, iters=3481
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=79.000, iters=3432
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=76.000, iters=3342
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=75.000, iters=3401
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=74.000, iters=3370
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=72.000, iters=3416
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=71.000, iters=3386
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=70.000, iters=3336
% 3.12/3.40
% 3.12/3.40 Low Water (keep): wt=67.000, iters=3495
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=66.000, iters=3351
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=65.000, iters=3398
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=64.000, iters=3365
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6107, wt=198.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6275, wt=193.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6113, wt=186.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6112, wt=182.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7481, wt=179.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6300, wt=177.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6298, wt=176.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7480, wt=173.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=4884, wt=171.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6306, wt=169.000
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=63.000, iters=3333
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7483, wt=167.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6106, wt=166.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6277, wt=165.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6104, wt=162.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6284, wt=161.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6229, wt=159.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6274, wt=158.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6276, wt=157.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6248, wt=155.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6297, wt=153.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6098, wt=151.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6347, wt=150.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7635, wt=149.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7488, wt=147.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6346, wt=146.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6244, wt=145.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7489, wt=144.000
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=62.000, iters=3333
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7654, wt=143.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6279, wt=141.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7673, wt=140.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7671, wt=139.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7651, wt=138.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7667, wt=137.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7473, wt=136.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6348, wt=134.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7679, wt=133.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7719, wt=132.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=4882, wt=131.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6357, wt=130.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7720, wt=129.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7605, wt=127.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6356, wt=126.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7650, wt=125.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7670, wt=124.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7656, wt=122.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=5462, wt=121.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7620, wt=119.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7721, wt=118.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6291, wt=117.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7653, wt=116.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7718, wt=115.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7729, wt=113.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7626, wt=112.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7730, wt=110.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6255, wt=109.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6364, wt=108.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6362, wt=107.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6781, wt=106.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6292, wt=105.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6370, wt=104.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7664, wt=103.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=5472, wt=102.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6296, wt=101.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7668, wt=100.000
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=43.000, iters=4520
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=42.000, iters=4437
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=36.000, iters=4029
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=35.000, iters=3912
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=6341, wt=99.000
% 3.91/4.17
% 3.91/4.17 Low Water (keep): wt=30.000, iters=3490
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7703, wt=98.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7345, wt=97.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7733, wt=96.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7631, wt=95.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8735, wt=94.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8599, wt=93.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8606, wt=92.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8727, wt=91.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8736, wt=90.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8497, wt=89.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8593, wt=88.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8740, wt=87.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8774, wt=86.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=7714, wt=85.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8737, wt=84.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8741, wt=83.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8567, wt=82.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8479, wt=81.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=9706, wt=80.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=9451, wt=79.000
% 3.91/4.17
% 3.91/4.17 Low Water (displace): id=8624, wt=78.000
% 3.91/4.17
% 3.91/4.17 Low Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------