TSTP Solution File: SET807+4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SET807+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 04:32:13 EDT 2022
% Result : Timeout 300.07s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET807+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n027.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 : Mon Jul 11 11:06:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.44/1.03 ============================== Prover9 ===============================
% 0.44/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.03 Process 14583 was started by sandbox2 on n027.cluster.edu,
% 0.44/1.03 Mon Jul 11 11:06:04 2022
% 0.44/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14214_n027.cluster.edu".
% 0.44/1.03 ============================== end of head ===========================
% 0.44/1.03
% 0.44/1.03 ============================== INPUT =================================
% 0.44/1.03
% 0.44/1.03 % Reading from file /tmp/Prover9_14214_n027.cluster.edu
% 0.44/1.03
% 0.44/1.03 set(prolog_style_variables).
% 0.44/1.03 set(auto2).
% 0.44/1.03 % set(auto2) -> set(auto).
% 0.44/1.03 % set(auto) -> set(auto_inference).
% 0.44/1.03 % set(auto) -> set(auto_setup).
% 0.44/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.03 % set(auto) -> set(auto_limits).
% 0.44/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.03 % set(auto) -> set(auto_denials).
% 0.44/1.03 % set(auto) -> set(auto_process).
% 0.44/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.03 % set(auto2) -> assign(stats, some).
% 0.44/1.03 % set(auto2) -> clear(echo_input).
% 0.44/1.03 % set(auto2) -> set(quiet).
% 0.44/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.03 % set(auto2) -> clear(print_given).
% 0.44/1.03 assign(lrs_ticks,-1).
% 0.44/1.03 assign(sos_limit,10000).
% 0.44/1.03 assign(order,kbo).
% 0.44/1.03 set(lex_order_vars).
% 0.44/1.03 clear(print_given).
% 0.44/1.03
% 0.44/1.03 % formulas(sos). % not echoed (18 formulas)
% 0.44/1.03
% 0.44/1.03 ============================== end of input ==========================
% 0.44/1.03
% 0.44/1.03 % From the command line: assign(max_seconds, 300).
% 0.44/1.03
% 0.44/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.03
% 0.44/1.03 % Formulas that are not ordinary clauses:
% 0.44/1.03 1 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 2 (all A all B (equal_set(A,B) <-> subset(A,B) & subset(B,A))) # label(equal_set) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 3 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 4 (all X all A all B (member(X,intersection(A,B)) <-> member(X,A) & member(X,B))) # label(intersection) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 5 (all X all A all B (member(X,union(A,B)) <-> member(X,A) | member(X,B))) # label(union) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 6 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 7 (all B all A all E (member(B,difference(E,A)) <-> member(B,E) & -member(B,A))) # label(difference) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 8 (all X all A (member(X,singleton(A)) <-> X = A)) # label(singleton) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 9 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = A | X = B)) # label(unordered_pair) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 10 (all X all A (member(X,sum(A)) <-> (exists Y (member(Y,A) & member(X,Y))))) # label(sum) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 11 (all X all A (member(X,product(A)) <-> (all Y (member(Y,A) -> member(X,Y))))) # label(product) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 12 (all A all B (disjoint(A,B) <-> -(exists X (member(X,A) & member(X,B))))) # label(disjoint) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.03 13 (all A all E (partition(A,E) <-> (all X (member(X,A) -> subset(X,E))) & (all X (member(X,E) -> (exists Y (member(Y,A) & member(X,Y))))) & (all X all Y (member(X,A) & member(Y,A) -> ((exists Z (member(Z,X) & member(Z,Y))) -> X = Y))))) # label(partition) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.04 14 (all A all R (equivalence(R,A) <-> (all X (member(X,A) -> apply(R,X,X))) & (all X all Y (member(X,A) & member(Y,A) -> (apply(R,X,Y) -> apply(R,Y,X)))) & (all X all Y all Z (member(X,A) & member(Y,A) & member(Z,A) -> (apply(R,X,Y) & apply(R,Y,Z) -> apply(R,X,Z)))))) # label(equivalence) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.04 15 (all R all E all A all X (member(X,equivalence_class(A,E,R)) <-> member(X,E) & apply(R,A,X))) # label(equivalence_class) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.04 16 (all R all E (pre_order(R,E) <-> (all X (member(X,E) -> apply(R,X,X))) & (all X all Y all Z (member(X,E) & member(Y,E) & member(Z,E) -> (apply(R,X,Y) & apply(R,Y,Z) -> apply(R,X,Z)))))) # label(pre_order) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.04 17 (all X all Y (apply(subset_predicate,X,Y) <-> subset(X,Y))) # label(rel_subset) # label(hypothesis) # label(non_clause). [assumption].
% 0.44/1.04 18 -(all E pre_order(subset_predicate,power_set(E))) # label(thIV18a) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/1.04
% 0.44/1.04 ============================== end of process non-clausal formulas ===
% 0.44/1.04
% 0.44/1.04 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.04
% 0.44/1.04 ============================== PREDICATE ELIMINATION =================
% 0.44/1.04 19 equal_set(A,B) | -subset(A,B) | -subset(B,A) # label(equal_set) # label(axiom). [clausify(2)].
% 0.44/1.04 20 -equal_set(A,B) | subset(A,B) # label(equal_set) # label(axiom). [clausify(2)].
% 0.44/1.04 21 -equal_set(A,B) | subset(B,A) # label(equal_set) # label(axiom). [clausify(2)].
% 0.44/1.04 22 disjoint(A,B) | member(f4(A,B),A) # label(disjoint) # label(axiom). [clausify(12)].
% 0.44/1.04 23 -disjoint(A,B) | -member(C,A) | -member(C,B) # label(disjoint) # label(axiom). [clausify(12)].
% 0.44/1.04 Derived: member(f4(A,B),A) | -member(C,A) | -member(C,B). [resolve(22,a,23,a)].
% 0.44/1.04 24 disjoint(A,B) | member(f4(A,B),B) # label(disjoint) # label(axiom). [clausify(12)].
% 0.44/1.04 Derived: member(f4(A,B),B) | -member(C,A) | -member(C,B). [resolve(24,a,23,a)].
% 0.44/1.04 25 partition(A,B) | member(f6(A,B),A) | member(f7(A,B),B) | member(f8(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 26 -partition(A,B) | -member(C,A) | subset(C,B) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 27 -partition(A,B) | -member(C,B) | member(f5(A,B,C),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 28 -partition(A,B) | -member(C,B) | member(C,f5(A,B,C)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 29 -partition(A,B) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,A) | subset(C,B). [resolve(25,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,B) | member(f5(A,B,C),A). [resolve(25,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,B) | member(C,f5(A,B,C)). [resolve(25,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(25,a,29,a)].
% 0.44/1.04 30 partition(A,B) | member(f6(A,B),A) | member(f7(A,B),B) | member(f9(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,A) | subset(C,B). [resolve(30,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,B) | member(f5(A,B,C),A). [resolve(30,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,B) | member(C,f5(A,B,C)). [resolve(30,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(30,a,29,a)].
% 0.44/1.04 31 partition(A,B) | member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,A) | subset(C,B). [resolve(31,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,B) | member(f5(A,B,C),A). [resolve(31,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,B) | member(C,f5(A,B,C)). [resolve(31,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(31,a,29,a)].
% 0.44/1.04 32 partition(A,B) | member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,A) | subset(C,B). [resolve(32,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,B) | member(f5(A,B,C),A). [resolve(32,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,B) | member(C,f5(A,B,C)). [resolve(32,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(32,a,29,a)].
% 0.44/1.04 33 partition(A,B) | member(f6(A,B),A) | member(f7(A,B),B) | f9(A,B) != f8(A,B) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,A) | subset(C,B). [resolve(33,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,B) | member(f5(A,B,C),A). [resolve(33,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,B) | member(C,f5(A,B,C)). [resolve(33,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(33,a,29,a)].
% 0.44/1.04 34 partition(A,B) | member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,A) | subset(D,B). [resolve(34,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,B) | member(f5(A,B,D),A). [resolve(34,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,B) | member(D,f5(A,B,D)). [resolve(34,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(34,a,29,a)].
% 0.44/1.04 35 partition(A,B) | member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,A) | subset(D,B). [resolve(35,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,B) | member(f5(A,B,D),A). [resolve(35,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,B) | member(D,f5(A,B,D)). [resolve(35,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(35,a,29,a)].
% 0.44/1.04 36 partition(A,B) | member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,A) | subset(D,B). [resolve(36,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,B) | member(f5(A,B,D),A). [resolve(36,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,B) | member(D,f5(A,B,D)). [resolve(36,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(36,a,29,a)].
% 0.44/1.04 37 partition(A,B) | member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,A) | subset(D,B). [resolve(37,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,B) | member(f5(A,B,D),A). [resolve(37,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,B) | member(D,f5(A,B,D)). [resolve(37,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(37,a,29,a)].
% 0.44/1.04 38 partition(A,B) | member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,A) | subset(D,B). [resolve(38,a,26,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,B) | member(f5(A,B,D),A). [resolve(38,a,27,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,B) | member(D,f5(A,B,D)). [resolve(38,a,28,a)].
% 0.44/1.04 Derived: member(f6(A,B),A) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(38,a,29,a)].
% 0.44/1.04 39 partition(A,B) | -subset(f6(A,B),B) | member(f7(A,B),B) | member(f8(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,A) | subset(C,B). [resolve(39,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,B) | member(f5(A,B,C),A). [resolve(39,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,B) | member(C,f5(A,B,C)). [resolve(39,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f8(A,B),A) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(39,a,29,a)].
% 0.44/1.04 40 partition(A,B) | -subset(f6(A,B),B) | member(f7(A,B),B) | member(f9(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,A) | subset(C,B). [resolve(40,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,B) | member(f5(A,B,C),A). [resolve(40,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,B) | member(C,f5(A,B,C)). [resolve(40,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f9(A,B),A) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(40,a,29,a)].
% 0.44/1.04 41 partition(A,B) | -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,A) | subset(C,B). [resolve(41,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,B) | member(f5(A,B,C),A). [resolve(41,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,B) | member(C,f5(A,B,C)). [resolve(41,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f8(A,B)) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(41,a,29,a)].
% 0.44/1.04 42 partition(A,B) | -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,A) | subset(C,B). [resolve(42,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,B) | member(f5(A,B,C),A). [resolve(42,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,B) | member(C,f5(A,B,C)). [resolve(42,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | member(f10(A,B),f9(A,B)) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(42,a,29,a)].
% 0.44/1.04 43 partition(A,B) | -subset(f6(A,B),B) | member(f7(A,B),B) | f9(A,B) != f8(A,B) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,A) | subset(C,B). [resolve(43,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,B) | member(f5(A,B,C),A). [resolve(43,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,B) | member(C,f5(A,B,C)). [resolve(43,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | member(f7(A,B),B) | f9(A,B) != f8(A,B) | -member(C,A) | -member(D,A) | -member(E,C) | -member(E,D) | D = C. [resolve(43,a,29,a)].
% 0.44/1.04 44 partition(A,B) | -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,A) | subset(D,B). [resolve(44,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,B) | member(f5(A,B,D),A). [resolve(44,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,B) | member(D,f5(A,B,D)). [resolve(44,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f8(A,B),A) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(44,a,29,a)].
% 0.44/1.04 45 partition(A,B) | -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,A) | subset(D,B). [resolve(45,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,B) | member(f5(A,B,D),A). [resolve(45,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,B) | member(D,f5(A,B,D)). [resolve(45,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f9(A,B),A) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(45,a,29,a)].
% 0.44/1.04 46 partition(A,B) | -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,A) | subset(D,B). [resolve(46,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,B) | member(f5(A,B,D),A). [resolve(46,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,B) | member(D,f5(A,B,D)). [resolve(46,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f8(A,B)) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(46,a,29,a)].
% 0.44/1.04 47 partition(A,B) | -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,A) | subset(D,B). [resolve(47,a,26,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,B) | member(f5(A,B,D),A). [resolve(47,a,27,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,B) | member(D,f5(A,B,D)). [resolve(47,a,28,a)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | member(f10(A,B),f9(A,B)) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(47,a,29,a)].
% 0.44/1.04 48 partition(A,B) | -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) # label(partition) # label(axiom). [clausify(13)].
% 0.44/1.04 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,A) | subset(D,B). [resolve(48,a,26,a)].
% 0.44/1.05 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,B) | member(f5(A,B,D),A). [resolve(48,a,27,a)].
% 0.44/1.05 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,B) | member(D,f5(A,B,D)). [resolve(48,a,28,a)].
% 0.44/1.05 Derived: -subset(f6(A,B),B) | -member(C,A) | -member(f7(A,B),C) | f9(A,B) != f8(A,B) | -member(D,A) | -member(E,A) | -member(F,D) | -member(F,E) | E = D. [resolve(48,a,29,a)].
% 0.44/1.05 49 equivalence(A,B) | member(f11(B,A),B) | member(f12(B,A),B) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 50 -equivalence(A,B) | -member(C,B) | apply(A,C,C) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 51 -equivalence(A,B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 52 -equivalence(A,B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(49,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(49,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(49,a,52,a)].
% 0.44/1.05 53 equivalence(A,B) | member(f11(B,A),B) | member(f12(B,A),B) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f15(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(53,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(53,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(53,a,52,a)].
% 0.44/1.05 54 equivalence(A,B) | member(f11(B,A),B) | member(f12(B,A),B) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f16(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(54,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(54,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(54,a,52,a)].
% 0.44/1.05 55 equivalence(A,B) | member(f11(B,A),B) | member(f12(B,A),B) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | apply(B,C,C). [resolve(55,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(55,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(55,a,52,a)].
% 0.44/1.05 56 equivalence(A,B) | member(f11(B,A),B) | member(f12(B,A),B) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(56,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(56,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(56,a,52,a)].
% 0.44/1.05 57 equivalence(A,B) | member(f11(B,A),B) | member(f12(B,A),B) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(57,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(57,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f12(A,B),A) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(57,a,52,a)].
% 0.44/1.05 58 equivalence(A,B) | member(f11(B,A),B) | member(f13(B,A),B) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(58,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(58,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(58,a,52,a)].
% 0.44/1.05 59 equivalence(A,B) | member(f11(B,A),B) | member(f13(B,A),B) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f15(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(59,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(59,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(59,a,52,a)].
% 0.44/1.05 60 equivalence(A,B) | member(f11(B,A),B) | member(f13(B,A),B) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f16(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(60,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(60,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(60,a,52,a)].
% 0.44/1.05 61 equivalence(A,B) | member(f11(B,A),B) | member(f13(B,A),B) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | apply(B,C,C). [resolve(61,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(61,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(61,a,52,a)].
% 0.44/1.05 62 equivalence(A,B) | member(f11(B,A),B) | member(f13(B,A),B) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(62,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(62,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(62,a,52,a)].
% 0.44/1.05 63 equivalence(A,B) | member(f11(B,A),B) | member(f13(B,A),B) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(63,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(63,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | member(f13(A,B),A) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(63,a,52,a)].
% 0.44/1.05 64 equivalence(A,B) | member(f11(B,A),B) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f14(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(64,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(64,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(64,a,52,a)].
% 0.44/1.05 65 equivalence(A,B) | member(f11(B,A),B) | apply(A,f12(B,A),f13(B,A)) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f15(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(65,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(65,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(65,a,52,a)].
% 0.44/1.05 66 equivalence(A,B) | member(f11(B,A),B) | apply(A,f12(B,A),f13(B,A)) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f16(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(66,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(66,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(66,a,52,a)].
% 0.44/1.05 67 equivalence(A,B) | member(f11(B,A),B) | apply(A,f12(B,A),f13(B,A)) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | apply(B,C,C). [resolve(67,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(67,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(67,a,52,a)].
% 0.44/1.05 68 equivalence(A,B) | member(f11(B,A),B) | apply(A,f12(B,A),f13(B,A)) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(68,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(68,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(68,a,52,a)].
% 0.44/1.05 69 equivalence(A,B) | member(f11(B,A),B) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(69,a,50,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(69,a,51,a)].
% 0.44/1.05 Derived: member(f11(A,B),A) | apply(B,f12(A,B),f13(A,B)) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(69,a,52,a)].
% 0.44/1.05 70 equivalence(A,B) | member(f11(B,A),B) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f14(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(70,a,50,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(70,a,51,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f14(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(70,a,52,a)].
% 0.44/1.06 71 equivalence(A,B) | member(f11(B,A),B) | -apply(A,f13(B,A),f12(B,A)) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f15(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(71,a,50,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(71,a,51,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f15(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(71,a,52,a)].
% 0.44/1.06 72 equivalence(A,B) | member(f11(B,A),B) | -apply(A,f13(B,A),f12(B,A)) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f16(A,B),A) | -member(C,A) | apply(B,C,C). [resolve(72,a,50,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(72,a,51,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | member(f16(A,B),A) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(72,a,52,a)].
% 0.44/1.06 73 equivalence(A,B) | member(f11(B,A),B) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | apply(B,C,C). [resolve(73,a,50,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(73,a,51,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | apply(B,f14(A,B),f15(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(73,a,52,a)].
% 0.44/1.06 74 equivalence(A,B) | member(f11(B,A),B) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(74,a,50,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(74,a,51,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | apply(B,f15(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(74,a,52,a)].
% 0.44/1.06 75 equivalence(A,B) | member(f11(B,A),B) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | apply(B,C,C). [resolve(75,a,50,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -apply(B,C,D) | apply(B,D,C). [resolve(75,a,51,a)].
% 0.44/1.06 Derived: member(f11(A,B),A) | -apply(B,f13(A,B),f12(A,B)) | -apply(B,f14(A,B),f16(A,B)) | -member(C,A) | -member(D,A) | -member(E,A) | -apply(B,C,D) | -apply(B,D,E) | apply(B,C,E). [resolve(75,a,52,a)].
% 0.44/1.06 76 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f14(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(76,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(76,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(76,a,52,a)].
% 0.44/1.06 77 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f15(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(77,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(77,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(77,a,52,a)].
% 0.44/1.06 78 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f16(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(78,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(78,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(78,a,52,a)].
% 0.44/1.06 79 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | apply(A,C,C). [resolve(79,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(79,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(79,a,52,a)].
% 0.44/1.06 80 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(80,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(80,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(80,a,52,a)].
% 0.44/1.06 81 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(81,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(81,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f12(B,A),B) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(81,a,52,a)].
% 0.44/1.06 82 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f14(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(82,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(82,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(82,a,52,a)].
% 0.44/1.06 83 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f15(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(83,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(83,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(83,a,52,a)].
% 0.44/1.06 84 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f16(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(84,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(84,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(84,a,52,a)].
% 0.44/1.06 85 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | apply(A,C,C). [resolve(85,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(85,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(85,a,52,a)].
% 0.44/1.06 86 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(86,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(86,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(86,a,52,a)].
% 0.44/1.06 87 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(87,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(87,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | member(f13(B,A),B) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(87,a,52,a)].
% 0.44/1.06 88 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(88,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(88,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(88,a,52,a)].
% 0.44/1.06 89 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f15(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(89,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(89,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(89,a,52,a)].
% 0.44/1.06 90 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f16(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(90,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(90,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(90,a,52,a)].
% 0.44/1.06 91 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | apply(A,C,C). [resolve(91,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(91,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(91,a,52,a)].
% 0.44/1.06 92 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(92,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(92,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(92,a,52,a)].
% 0.44/1.06 93 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(93,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(93,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | apply(A,f12(B,A),f13(B,A)) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(93,a,52,a)].
% 0.44/1.06 94 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(94,a,50,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(94,a,51,a)].
% 0.44/1.06 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f14(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(94,a,52,a)].
% 0.82/1.16 95 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f15(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f15(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(95,a,50,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(95,a,51,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f15(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(95,a,52,a)].
% 0.82/1.16 96 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f16(B,A),B) # label(equivalence) # label(axiom). [clausify(14)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f16(B,A),B) | -member(C,B) | apply(A,C,C). [resolve(96,a,50,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(96,a,51,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | member(f16(B,A),B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(96,a,52,a)].
% 0.82/1.16 97 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f14(B,A),f15(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | apply(A,C,C). [resolve(97,a,50,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(97,a,51,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f14(B,A),f15(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(97,a,52,a)].
% 0.82/1.16 98 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f15(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(98,a,50,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(98,a,51,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | apply(A,f15(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(98,a,52,a)].
% 0.82/1.16 99 equivalence(A,B) | -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f16(B,A)) # label(equivalence) # label(axiom). [clausify(14)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | apply(A,C,C). [resolve(99,a,50,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | apply(A,D,C). [resolve(99,a,51,a)].
% 0.82/1.16 Derived: -apply(A,f11(B,A),f11(B,A)) | -apply(A,f13(B,A),f12(B,A)) | -apply(A,f14(B,A),f16(B,A)) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E). [resolve(99,a,52,a)].
% 0.82/1.16
% 0.82/1.16 ============================== end predicate elimination =============
% 0.82/1.16
% 0.82/1.16 Auto_denials: (non-Horn, no changes).
% 0.82/1.16
% 0.82/1.16 Term ordering decisions:
% 0.82/1.16 Function symbol KB weights: subset_predicate=1. empty_set=1. c1=1. intersection=1. union=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f4=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f16=1. f17=1. f18=1. f19=1. f20=1. product=1. sum=1. power_set=1. singleton=1. equivalence_class=1. f5=1.
% 0.82/1.16
% 0.82/1.16 ============================== endCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------