TSTP Solution File: SET771+4 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET771+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %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 : 300s
% DateTime : Wed Jul 27 13:14:13 EDT 2022
% Result : Timeout 299.97s 300.09s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET771+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 10:50:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.94/2.13 ----- Otter 3.3f, August 2004 -----
% 1.94/2.13 The process was started by sandbox2 on n027.cluster.edu,
% 1.94/2.13 Wed Jul 27 10:50:22 2022
% 1.94/2.13 The command was "./otter". The process ID is 23118.
% 1.94/2.13
% 1.94/2.13 set(prolog_style_variables).
% 1.94/2.13 set(auto).
% 1.94/2.13 dependent: set(auto1).
% 1.94/2.13 dependent: set(process_input).
% 1.94/2.13 dependent: clear(print_kept).
% 1.94/2.13 dependent: clear(print_new_demod).
% 1.94/2.13 dependent: clear(print_back_demod).
% 1.94/2.13 dependent: clear(print_back_sub).
% 1.94/2.13 dependent: set(control_memory).
% 1.94/2.13 dependent: assign(max_mem, 12000).
% 1.94/2.13 dependent: assign(pick_given_ratio, 4).
% 1.94/2.13 dependent: assign(stats_level, 1).
% 1.94/2.13 dependent: assign(max_seconds, 10800).
% 1.94/2.13 clear(print_given).
% 1.94/2.13
% 1.94/2.13 formula_list(usable).
% 1.94/2.13 all A (A=A).
% 1.94/2.13 all A B (subset(A,B)<-> (all X (member(X,A)->member(X,B)))).
% 1.94/2.13 all A B (e_qual_set(A,B)<->subset(A,B)&subset(B,A)).
% 1.94/2.13 all X A (member(X,power_set(A))<->subset(X,A)).
% 1.94/2.13 all X A B (member(X,intersection(A,B))<->member(X,A)&member(X,B)).
% 1.94/2.13 all X A B (member(X,union(A,B))<->member(X,A)|member(X,B)).
% 1.94/2.13 all X (-member(X,empty_set)).
% 1.94/2.13 all B A E (member(B,difference(E,A))<->member(B,E)& -member(B,A)).
% 1.94/2.13 all X A (member(X,singleton(A))<->X=A).
% 1.94/2.13 all X A B (member(X,unordered_pair(A,B))<->X=A|X=B).
% 1.94/2.13 all X A (member(X,sum(A))<-> (exists Y (member(Y,A)&member(X,Y)))).
% 1.94/2.13 all X A (member(X,product(A))<-> (all Y (member(Y,A)->member(X,Y)))).
% 1.94/2.13 all F A B (maps(F,A,B)<-> (all X (member(X,A)-> (exists Y (member(Y,B)&apply(F,X,Y)))))& (all X Y1 Y2 (member(X,A)&member(Y1,B)&member(Y2,B)-> (apply(F,X,Y1)&apply(F,X,Y2)->Y1=Y2)))).
% 1.94/2.13 all H G F A B C (compose_predicate(H,G,F,A,B,C)<-> (all X Z (member(X,A)&member(Z,C)-> (apply(H,X,Z)<-> (exists Y (member(Y,B)&apply(F,X,Y)&apply(G,Y,Z))))))).
% 1.94/2.13 all G F A B C X 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))))).
% 1.94/2.13 all F G A B (e_qual_maps(F,G,A,B)<-> (all X Y1 Y2 (member(X,A)&member(Y1,B)&member(Y2,B)-> (apply(F,X,Y1)&apply(G,X,Y2)->Y1=Y2)))).
% 1.94/2.13 all F A (identity(F,A)<-> (all X (member(X,A)->apply(F,X,X)))).
% 1.94/2.13 all F A B (injective(F,A,B)<-> (all X1 X2 Y (member(X1,A)&member(X2,A)&member(Y,B)-> (apply(F,X1,Y)&apply(F,X2,Y)->X1=X2)))).
% 1.94/2.13 all F A B (surjective(F,A,B)<-> (all Y (member(Y,B)-> (exists E (member(E,A)&apply(F,E,Y)))))).
% 1.94/2.13 all F A B (one_to_one(F,A,B)<->injective(F,A,B)&surjective(F,A,B)).
% 1.94/2.13 all G F A B (inverse_predicate(G,F,A,B)<-> (all X Y (member(X,A)&member(Y,B)-> (apply(F,X,Y)<->apply(G,Y,X))))).
% 1.94/2.13 all F A B X Y (member(X,A)&member(Y,B)-> (apply(F,X,Y)<->apply(inverse_function(F,A,B),Y,X))).
% 1.94/2.13 all F A Y (member(Y,image2(F,A))<-> (exists X (member(X,A)&apply(F,X,Y)))).
% 1.94/2.13 all F A B Y (member(Y,image3(F,A,B))<->member(Y,B)& (exists X (member(X,A)&apply(F,X,Y)))).
% 1.94/2.13 all F B X (member(X,inverse_image2(F,B))<-> (exists Y (member(Y,B)&apply(F,X,Y)))).
% 1.94/2.13 all F B A X (member(X,inverse_image3(F,B,A))<->member(X,A)& (exists Y (member(Y,B)&apply(F,X,Y)))).
% 1.94/2.13 all F A R B S (increasing(F,A,R,B,S)<-> (all X1 Y1 X2 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)))).
% 1.94/2.13 all F A R B S (decreasing(F,A,R,B,S)<-> (all X1 Y1 X2 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)))).
% 1.94/2.13 all F A R B S (isomorphism(F,A,R,B,S)<->maps(F,A,B)&one_to_one(F,A,B)& (all X1 Y1 X2 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))))).
% 1.94/2.13 all A B (disjoint(A,B)<-> -(exists X (member(X,A)&member(X,B)))).
% 1.94/2.13 all A 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 Y (member(X,A)&member(Y,A)-> ((exists Z (member(Z,X)&member(Z,Y)))->X=Y)))).
% 1.94/2.13 all A R (e_quivalence(R,A)<-> (all X (member(X,A)->apply(R,X,X)))& (all X Y (member(X,A)&member(Y,A)-> (apply(R,X,Y)->apply(R,Y,X))))& (all X Y Z (member(X,A)&member(Y,A)&member(Z,A)-> (apply(R,X,Y)&apply(R,Y,Z)->apply(R,X,Z))))).
% 1.94/2.13 all R E A X (member(X,e_quivalence_class(A,E,R))<->member(X,E)&apply(R,A,X)).
% 1.94/2.13 all R E (pre_order(R,E)<-> (all X (member(X,E)->apply(R,X,X)))& (all X Y Z (member(X,E)&member(Y,E)&member(Z,E)-> (apply(R,X,Y)&apply(R,Y,Z)->apply(R,X,Z))))).
% 1.94/2.13 -(all F A B R (maps(F,A,B)& (all X1 X2 (member(X1,A)&member(X2,A)-> (apply(R,X1,X2)<-> (exists Y (member(Y,B)&apply(F,X1,Y)&apply(F,X2,Y))))))->e_quivalence(R,A))).
% 1.94/2.13 end_of_list.
% 1.94/2.13
% 1.94/2.13 -------> usable clausifies to:
% 1.94/2.13
% 1.94/2.13 list(usable).
% 1.94/2.13 0 [] A=A.
% 1.94/2.13 0 [] -subset(A,B)| -member(X,A)|member(X,B).
% 1.94/2.13 0 [] subset(A,B)|member($f1(A,B),A).
% 1.94/2.13 0 [] subset(A,B)| -member($f1(A,B),B).
% 1.94/2.13 0 [] -e_qual_set(A,B)|subset(A,B).
% 1.94/2.13 0 [] -e_qual_set(A,B)|subset(B,A).
% 1.94/2.13 0 [] e_qual_set(A,B)| -subset(A,B)| -subset(B,A).
% 1.94/2.13 0 [] -member(X,power_set(A))|subset(X,A).
% 1.94/2.13 0 [] member(X,power_set(A))| -subset(X,A).
% 1.94/2.13 0 [] -member(X,intersection(A,B))|member(X,A).
% 1.94/2.13 0 [] -member(X,intersection(A,B))|member(X,B).
% 1.94/2.13 0 [] member(X,intersection(A,B))| -member(X,A)| -member(X,B).
% 1.94/2.13 0 [] -member(X,union(A,B))|member(X,A)|member(X,B).
% 1.94/2.13 0 [] member(X,union(A,B))| -member(X,A).
% 1.94/2.13 0 [] member(X,union(A,B))| -member(X,B).
% 1.94/2.13 0 [] -member(X,empty_set).
% 1.94/2.13 0 [] -member(B,difference(E,A))|member(B,E).
% 1.94/2.13 0 [] -member(B,difference(E,A))| -member(B,A).
% 1.94/2.13 0 [] member(B,difference(E,A))| -member(B,E)|member(B,A).
% 1.94/2.13 0 [] -member(X,singleton(A))|X=A.
% 1.94/2.13 0 [] member(X,singleton(A))|X!=A.
% 1.94/2.13 0 [] -member(X,unordered_pair(A,B))|X=A|X=B.
% 1.94/2.13 0 [] member(X,unordered_pair(A,B))|X!=A.
% 1.94/2.13 0 [] member(X,unordered_pair(A,B))|X!=B.
% 1.94/2.13 0 [] -member(X,sum(A))|member($f2(X,A),A).
% 1.94/2.13 0 [] -member(X,sum(A))|member(X,$f2(X,A)).
% 1.94/2.13 0 [] member(X,sum(A))| -member(Y,A)| -member(X,Y).
% 1.94/2.13 0 [] -member(X,product(A))| -member(Y,A)|member(X,Y).
% 1.94/2.13 0 [] member(X,product(A))|member($f3(X,A),A).
% 1.94/2.13 0 [] member(X,product(A))| -member(X,$f3(X,A)).
% 1.94/2.13 0 [] -maps(F,A,B)| -member(X,A)|member($f4(F,A,B,X),B).
% 1.94/2.13 0 [] -maps(F,A,B)| -member(X,A)|apply(F,X,$f4(F,A,B,X)).
% 1.94/2.13 0 [] -maps(F,A,B)| -member(X3,A)| -member(Y1,B)| -member(Y2,B)| -apply(F,X3,Y1)| -apply(F,X3,Y2)|Y1=Y2.
% 1.94/2.13 0 [] maps(F,A,B)|member($f5(F,A,B),A)|member($f8(F,A,B),A).
% 1.94/2.13 0 [] maps(F,A,B)|member($f5(F,A,B),A)|member($f7(F,A,B),B).
% 1.94/2.13 0 [] maps(F,A,B)|member($f5(F,A,B),A)|member($f6(F,A,B),B).
% 1.94/2.13 0 [] maps(F,A,B)|member($f5(F,A,B),A)|apply(F,$f8(F,A,B),$f7(F,A,B)).
% 1.94/2.13 0 [] maps(F,A,B)|member($f5(F,A,B),A)|apply(F,$f8(F,A,B),$f6(F,A,B)).
% 1.94/2.13 0 [] maps(F,A,B)|member($f5(F,A,B),A)|$f7(F,A,B)!=$f6(F,A,B).
% 1.94/2.13 0 [] maps(F,A,B)| -member(Y,B)| -apply(F,$f5(F,A,B),Y)|member($f8(F,A,B),A).
% 1.94/2.13 0 [] maps(F,A,B)| -member(Y,B)| -apply(F,$f5(F,A,B),Y)|member($f7(F,A,B),B).
% 1.94/2.13 0 [] maps(F,A,B)| -member(Y,B)| -apply(F,$f5(F,A,B),Y)|member($f6(F,A,B),B).
% 1.94/2.13 0 [] maps(F,A,B)| -member(Y,B)| -apply(F,$f5(F,A,B),Y)|apply(F,$f8(F,A,B),$f7(F,A,B)).
% 1.94/2.13 0 [] maps(F,A,B)| -member(Y,B)| -apply(F,$f5(F,A,B),Y)|apply(F,$f8(F,A,B),$f6(F,A,B)).
% 1.94/2.13 0 [] maps(F,A,B)| -member(Y,B)| -apply(F,$f5(F,A,B),Y)|$f7(F,A,B)!=$f6(F,A,B).
% 1.94/2.13 0 [] -compose_predicate(H,G,F,A,B,C)| -member(X,A)| -member(Z,C)| -apply(H,X,Z)|member($f9(H,G,F,A,B,C,X,Z),B).
% 1.94/2.13 0 [] -compose_predicate(H,G,F,A,B,C)| -member(X,A)| -member(Z,C)| -apply(H,X,Z)|apply(F,X,$f9(H,G,F,A,B,C,X,Z)).
% 1.94/2.13 0 [] -compose_predicate(H,G,F,A,B,C)| -member(X,A)| -member(Z,C)| -apply(H,X,Z)|apply(G,$f9(H,G,F,A,B,C,X,Z),Z).
% 1.94/2.13 0 [] -compose_predicate(H,G,F,A,B,C)| -member(X,A)| -member(Z,C)|apply(H,X,Z)| -member(Y,B)| -apply(F,X,Y)| -apply(G,Y,Z).
% 1.94/2.13 0 [] compose_predicate(H,G,F,A,B,C)|member($f12(H,G,F,A,B,C),A).
% 1.94/2.13 0 [] compose_predicate(H,G,F,A,B,C)|member($f11(H,G,F,A,B,C),C).
% 1.94/2.13 0 [] compose_predicate(H,G,F,A,B,C)|apply(H,$f12(H,G,F,A,B,C),$f11(H,G,F,A,B,C))|member($f10(H,G,F,A,B,C),B).
% 1.94/2.13 0 [] compose_predicate(H,G,F,A,B,C)|apply(H,$f12(H,G,F,A,B,C),$f11(H,G,F,A,B,C))|apply(F,$f12(H,G,F,A,B,C),$f10(H,G,F,A,B,C)).
% 1.94/2.13 0 [] compose_predicate(H,G,F,A,B,C)|apply(H,$f12(H,G,F,A,B,C),$f11(H,G,F,A,B,C))|apply(G,$f10(H,G,F,A,B,C),$f11(H,G,F,A,B,C)).
% 1.94/2.13 0 [] compose_predicate(H,G,F,A,B,C)| -apply(H,$f12(H,G,F,A,B,C),$f11(H,G,F,A,B,C))| -member(X4,B)| -apply(F,$f12(H,G,F,A,B,C),X4)| -apply(G,X4,$f11(H,G,F,A,B,C)).
% 1.94/2.13 0 [] -member(X,A)| -member(Z,C)| -apply(compose_function(G,F,A,B,C),X,Z)|member($f13(G,F,A,B,C,X,Z),B).
% 1.94/2.13 0 [] -member(X,A)| -member(Z,C)| -apply(compose_function(G,F,A,B,C),X,Z)|apply(F,X,$f13(G,F,A,B,C,X,Z)).
% 1.94/2.13 0 [] -member(X,A)| -member(Z,C)| -apply(compose_function(G,F,A,B,C),X,Z)|apply(G,$f13(G,F,A,B,C,X,Z),Z).
% 1.94/2.13 0 [] -member(X,A)| -member(Z,C)|apply(compose_function(G,F,A,B,C),X,Z)| -member(Y,B)| -apply(F,X,Y)| -apply(G,Y,Z).
% 1.94/2.13 0 [] -e_qual_maps(F,G,A,B)| -member(X,A)| -member(Y1,B)| -member(Y2,B)| -apply(F,X,Y1)| -apply(G,X,Y2)|Y1=Y2.
% 1.94/2.13 0 [] e_qual_maps(F,G,A,B)|member($f16(F,G,A,B),A).
% 1.94/2.13 0 [] e_qual_maps(F,G,A,B)|member($f15(F,G,A,B),B).
% 1.94/2.13 0 [] e_qual_maps(F,G,A,B)|member($f14(F,G,A,B),B).
% 1.94/2.13 0 [] e_qual_maps(F,G,A,B)|apply(F,$f16(F,G,A,B),$f15(F,G,A,B)).
% 1.94/2.13 0 [] e_qual_maps(F,G,A,B)|apply(G,$f16(F,G,A,B),$f14(F,G,A,B)).
% 1.94/2.13 0 [] e_qual_maps(F,G,A,B)|$f15(F,G,A,B)!=$f14(F,G,A,B).
% 1.94/2.13 0 [] -identity(F,A)| -member(X,A)|apply(F,X,X).
% 1.94/2.13 0 [] identity(F,A)|member($f17(F,A),A).
% 1.94/2.13 0 [] identity(F,A)| -apply(F,$f17(F,A),$f17(F,A)).
% 1.94/2.13 0 [] -injective(F,A,B)| -member(X1,A)| -member(X2,A)| -member(Y,B)| -apply(F,X1,Y)| -apply(F,X2,Y)|X1=X2.
% 1.94/2.13 0 [] injective(F,A,B)|member($f20(F,A,B),A).
% 1.94/2.13 0 [] injective(F,A,B)|member($f19(F,A,B),A).
% 1.94/2.13 0 [] injective(F,A,B)|member($f18(F,A,B),B).
% 1.94/2.13 0 [] injective(F,A,B)|apply(F,$f20(F,A,B),$f18(F,A,B)).
% 1.94/2.13 0 [] injective(F,A,B)|apply(F,$f19(F,A,B),$f18(F,A,B)).
% 1.94/2.13 0 [] injective(F,A,B)|$f20(F,A,B)!=$f19(F,A,B).
% 1.94/2.13 0 [] -surjective(F,A,B)| -member(Y,B)|member($f21(F,A,B,Y),A).
% 1.94/2.13 0 [] -surjective(F,A,B)| -member(Y,B)|apply(F,$f21(F,A,B,Y),Y).
% 1.94/2.13 0 [] surjective(F,A,B)|member($f22(F,A,B),B).
% 1.94/2.13 0 [] surjective(F,A,B)| -member(E,A)| -apply(F,E,$f22(F,A,B)).
% 1.94/2.13 0 [] -one_to_one(F,A,B)|injective(F,A,B).
% 1.94/2.13 0 [] -one_to_one(F,A,B)|surjective(F,A,B).
% 1.94/2.13 0 [] one_to_one(F,A,B)| -injective(F,A,B)| -surjective(F,A,B).
% 1.94/2.13 0 [] -inverse_predicate(G,F,A,B)| -member(X,A)| -member(Y,B)| -apply(F,X,Y)|apply(G,Y,X).
% 1.94/2.13 0 [] -inverse_predicate(G,F,A,B)| -member(X,A)| -member(Y,B)|apply(F,X,Y)| -apply(G,Y,X).
% 1.94/2.13 0 [] inverse_predicate(G,F,A,B)|member($f24(G,F,A,B),A).
% 1.94/2.13 0 [] inverse_predicate(G,F,A,B)|member($f23(G,F,A,B),B).
% 1.94/2.13 0 [] inverse_predicate(G,F,A,B)|apply(F,$f24(G,F,A,B),$f23(G,F,A,B))|apply(G,$f23(G,F,A,B),$f24(G,F,A,B)).
% 1.94/2.13 0 [] inverse_predicate(G,F,A,B)| -apply(F,$f24(G,F,A,B),$f23(G,F,A,B))| -apply(G,$f23(G,F,A,B),$f24(G,F,A,B)).
% 1.94/2.13 0 [] -member(X,A)| -member(Y,B)| -apply(F,X,Y)|apply(inverse_function(F,A,B),Y,X).
% 1.94/2.13 0 [] -member(X,A)| -member(Y,B)|apply(F,X,Y)| -apply(inverse_function(F,A,B),Y,X).
% 1.94/2.13 0 [] -member(Y,image2(F,A))|member($f25(F,A,Y),A).
% 1.94/2.13 0 [] -member(Y,image2(F,A))|apply(F,$f25(F,A,Y),Y).
% 1.94/2.13 0 [] member(Y,image2(F,A))| -member(X,A)| -apply(F,X,Y).
% 1.94/2.13 0 [] -member(Y,image3(F,A,B))|member(Y,B).
% 1.94/2.13 0 [] -member(Y,image3(F,A,B))|member($f26(F,A,B,Y),A).
% 1.94/2.13 0 [] -member(Y,image3(F,A,B))|apply(F,$f26(F,A,B,Y),Y).
% 1.94/2.13 0 [] member(Y,image3(F,A,B))| -member(Y,B)| -member(X,A)| -apply(F,X,Y).
% 1.94/2.13 0 [] -member(X,inverse_image2(F,B))|member($f27(F,B,X),B).
% 1.94/2.13 0 [] -member(X,inverse_image2(F,B))|apply(F,X,$f27(F,B,X)).
% 1.94/2.13 0 [] member(X,inverse_image2(F,B))| -member(Y,B)| -apply(F,X,Y).
% 1.94/2.13 0 [] -member(X,inverse_image3(F,B,A))|member(X,A).
% 1.94/2.13 0 [] -member(X,inverse_image3(F,B,A))|member($f28(F,B,A,X),B).
% 1.94/2.13 0 [] -member(X,inverse_image3(F,B,A))|apply(F,X,$f28(F,B,A,X)).
% 1.94/2.13 0 [] member(X,inverse_image3(F,B,A))| -member(X,A)| -member(Y,B)| -apply(F,X,Y).
% 1.94/2.13 0 [] -increasing(F,A,R,B,S)| -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).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)|member($f32(F,A,R,B,S),A).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)|member($f31(F,A,R,B,S),B).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)|member($f30(F,A,R,B,S),A).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)|member($f29(F,A,R,B,S),B).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)|apply(R,$f32(F,A,R,B,S),$f30(F,A,R,B,S)).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)|apply(F,$f32(F,A,R,B,S),$f31(F,A,R,B,S)).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)|apply(F,$f30(F,A,R,B,S),$f29(F,A,R,B,S)).
% 1.94/2.13 0 [] increasing(F,A,R,B,S)| -apply(S,$f31(F,A,R,B,S),$f29(F,A,R,B,S)).
% 1.94/2.13 0 [] -decreasing(F,A,R,B,S)| -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).
% 1.94/2.13 0 [] decreasing(F,A,R,B,S)|member($f36(F,A,R,B,S),A).
% 1.94/2.13 0 [] decreasing(F,A,R,B,S)|member($f35(F,A,R,B,S),B).
% 1.94/2.13 0 [] decreasing(F,A,R,B,S)|member($f34(F,A,R,B,S),A).
% 1.94/2.13 0 [] decreasing(F,A,R,B,S)|member($f33(F,A,R,B,S),B).
% 1.94/2.13 0 [] decreasing(F,A,R,B,S)|apply(R,$f36(F,A,R,B,S),$f34(F,A,R,B,S)).
% 1.94/2.13 0 [] decreasing(F,A,R,B,S)|apply(F,$f36(F,A,R,B,S),$f35(F,A,R,B,S)).
% 1.94/2.14 0 [] decreasing(F,A,R,B,S)|apply(F,$f34(F,A,R,B,S),$f33(F,A,R,B,S)).
% 1.94/2.14 0 [] decreasing(F,A,R,B,S)| -apply(S,$f33(F,A,R,B,S),$f35(F,A,R,B,S)).
% 1.94/2.14 0 [] -isomorphism(F,A,R,B,S)|maps(F,A,B).
% 1.94/2.14 0 [] -isomorphism(F,A,R,B,S)|one_to_one(F,A,B).
% 1.94/2.14 0 [] -isomorphism(F,A,R,B,S)| -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).
% 1.94/2.14 0 [] -isomorphism(F,A,R,B,S)| -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).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)|member($f40(F,A,R,B,S),A).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)|member($f39(F,A,R,B,S),B).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)|member($f38(F,A,R,B,S),A).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)|member($f37(F,A,R,B,S),B).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)|apply(F,$f40(F,A,R,B,S),$f39(F,A,R,B,S)).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)|apply(F,$f38(F,A,R,B,S),$f37(F,A,R,B,S)).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)|apply(R,$f40(F,A,R,B,S),$f38(F,A,R,B,S))|apply(S,$f39(F,A,R,B,S),$f37(F,A,R,B,S)).
% 1.94/2.14 0 [] isomorphism(F,A,R,B,S)| -maps(F,A,B)| -one_to_one(F,A,B)| -apply(R,$f40(F,A,R,B,S),$f38(F,A,R,B,S))| -apply(S,$f39(F,A,R,B,S),$f37(F,A,R,B,S)).
% 1.94/2.14 0 [] -disjoint(A,B)| -member(X,A)| -member(X,B).
% 1.94/2.14 0 [] disjoint(A,B)|member($f41(A,B),A).
% 1.94/2.14 0 [] disjoint(A,B)|member($f41(A,B),B).
% 1.94/2.14 0 [] -partition(A,E)| -member(X,A)|subset(X,E).
% 1.94/2.14 0 [] -partition(A,E)| -member(X5,E)|member($f42(A,E,X5),A).
% 1.94/2.14 0 [] -partition(A,E)| -member(X5,E)|member(X5,$f42(A,E,X5)).
% 1.94/2.14 0 [] -partition(A,E)| -member(X6,A)| -member(Y,A)| -member(Z,X6)| -member(Z,Y)|X6=Y.
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)|member($f44(A,E),E)|member($f47(A,E),A).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)|member($f44(A,E),E)|member($f46(A,E),A).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)|member($f44(A,E),E)|member($f45(A,E),$f47(A,E)).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)|member($f44(A,E),E)|member($f45(A,E),$f46(A,E)).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)|member($f44(A,E),E)|$f47(A,E)!=$f46(A,E).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)| -member(X7,A)| -member($f44(A,E),X7)|member($f47(A,E),A).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)| -member(X7,A)| -member($f44(A,E),X7)|member($f46(A,E),A).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)| -member(X7,A)| -member($f44(A,E),X7)|member($f45(A,E),$f47(A,E)).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)| -member(X7,A)| -member($f44(A,E),X7)|member($f45(A,E),$f46(A,E)).
% 1.94/2.14 0 [] partition(A,E)|member($f43(A,E),A)| -member(X7,A)| -member($f44(A,E),X7)|$f47(A,E)!=$f46(A,E).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)|member($f44(A,E),E)|member($f47(A,E),A).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)|member($f44(A,E),E)|member($f46(A,E),A).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)|member($f44(A,E),E)|member($f45(A,E),$f47(A,E)).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)|member($f44(A,E),E)|member($f45(A,E),$f46(A,E)).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)|member($f44(A,E),E)|$f47(A,E)!=$f46(A,E).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)| -member(X7,A)| -member($f44(A,E),X7)|member($f47(A,E),A).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)| -member(X7,A)| -member($f44(A,E),X7)|member($f46(A,E),A).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)| -member(X7,A)| -member($f44(A,E),X7)|member($f45(A,E),$f47(A,E)).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)| -member(X7,A)| -member($f44(A,E),X7)|member($f45(A,E),$f46(A,E)).
% 1.94/2.14 0 [] partition(A,E)| -subset($f43(A,E),E)| -member(X7,A)| -member($f44(A,E),X7)|$f47(A,E)!=$f46(A,E).
% 1.94/2.14 0 [] -e_quivalence(R,A)| -member(X,A)|apply(R,X,X).
% 1.94/2.14 0 [] -e_quivalence(R,A)| -member(X8,A)| -member(Y,A)| -apply(R,X8,Y)|apply(R,Y,X8).
% 1.94/2.14 0 [] -e_quivalence(R,A)| -member(X9,A)| -member(X10,A)| -member(Z,A)| -apply(R,X9,X10)| -apply(R,X10,Z)|apply(R,X9,Z).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f50(A,R),A)|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f50(A,R),A)|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f50(A,R),A)|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f50(A,R),A)|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f50(A,R),A)|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f50(A,R),A)| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f49(A,R),A)|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f49(A,R),A)|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f49(A,R),A)|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f49(A,R),A)|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f49(A,R),A)|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|member($f49(A,R),A)| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|apply(R,$f50(A,R),$f49(A,R))|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|apply(R,$f50(A,R),$f49(A,R))|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|apply(R,$f50(A,R),$f49(A,R))|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|apply(R,$f50(A,R),$f49(A,R))|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|apply(R,$f50(A,R),$f49(A,R))|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)|apply(R,$f50(A,R),$f49(A,R))| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)| -apply(R,$f49(A,R),$f50(A,R))|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)| -apply(R,$f49(A,R),$f50(A,R))|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)| -apply(R,$f49(A,R),$f50(A,R))|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)| -apply(R,$f49(A,R),$f50(A,R))|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)| -apply(R,$f49(A,R),$f50(A,R))|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)|member($f48(A,R),A)| -apply(R,$f49(A,R),$f50(A,R))| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f50(A,R),A)|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f50(A,R),A)|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f50(A,R),A)|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f50(A,R),A)|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f50(A,R),A)|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f50(A,R),A)| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f49(A,R),A)|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f49(A,R),A)|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f49(A,R),A)|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f49(A,R),A)|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f49(A,R),A)|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|member($f49(A,R),A)| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|apply(R,$f50(A,R),$f49(A,R))|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|apply(R,$f50(A,R),$f49(A,R))|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|apply(R,$f50(A,R),$f49(A,R))|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|apply(R,$f50(A,R),$f49(A,R))|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|apply(R,$f50(A,R),$f49(A,R))|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))|apply(R,$f50(A,R),$f49(A,R))| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))| -apply(R,$f49(A,R),$f50(A,R))|member($f53(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))| -apply(R,$f49(A,R),$f50(A,R))|member($f52(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))| -apply(R,$f49(A,R),$f50(A,R))|member($f51(A,R),A).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))| -apply(R,$f49(A,R),$f50(A,R))|apply(R,$f53(A,R),$f52(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))| -apply(R,$f49(A,R),$f50(A,R))|apply(R,$f52(A,R),$f51(A,R)).
% 1.94/2.14 0 [] e_quivalence(R,A)| -apply(R,$f48(A,R),$f48(A,R))| -apply(R,$f49(A,R),$f50(A,R))| -apply(R,$f53(A,R),$f51(A,R)).
% 1.94/2.14 0 [] -member(X,e_quivalence_class(A,E,R))|member(X,E).
% 1.94/2.14 0 [] -member(X,e_quivalence_class(A,E,R))|apply(R,A,X).
% 1.94/2.14 0 [] member(X,e_quivalence_class(A,E,R))| -member(X,E)| -apply(R,A,X).
% 1.94/2.14 0 [] -pre_order(R,E)| -member(X,E)|apply(R,X,X).
% 1.94/2.14 0 [] -pre_order(R,E)| -member(X11,E)| -member(Y,E)| -member(Z,E)| -apply(R,X11,Y)| -apply(R,Y,Z)|apply(R,X11,Z).
% 1.94/2.14 0 [] pre_order(R,E)|member($f54(R,E),E)|member($f57(R,E),E).
% 1.94/2.14 0 [] pre_order(R,E)|member($f54(R,E),E)|member($f56(R,E),E).
% 1.94/2.14 0 [] pre_order(R,E)|member($f54(R,E),E)|member($f55(R,E),E).
% 1.94/2.14 0 [] pre_order(R,E)|member($f54(R,E),E)|apply(R,$f57(R,E),$f56(R,E)).
% 1.94/2.14 0 [] pre_order(R,E)|member($f54(R,E),E)|apply(R,$f56(R,E),$f55(R,E)).
% 1.94/2.14 0 [] pre_order(R,E)|member($f54(R,E),E)| -apply(R,$f57(R,E),$f55(R,E)).
% 1.94/2.14 0 [] pre_order(R,E)| -apply(R,$f54(R,E),$f54(R,E))|member($f57(R,E),E).
% 1.94/2.14 0 [] pre_order(R,E)| -apply(R,$f54(R,E),$f54(R,E))|member($f56(R,E),E).
% 1.94/2.14 0 [] pre_order(R,E)| -apply(R,$f54(R,E),$f54(R,E))|member($f55(R,E),E).
% 1.94/2.14 0 [] pre_order(R,E)| -apply(R,$f54(R,E),$f54(R,E))|apply(R,$f57(R,E),$f56(R,E)).
% 1.94/2.14 0 [] pre_order(R,E)| -apply(R,$f54(R,E),$f54(R,E))|apply(R,$f56(R,E),$f55(R,E)).
% 1.94/2.14 0 [] pre_order(R,E)| -apply(R,$f54(R,E),$f54(R,E))| -apply(R,$f57(R,E),$f55(R,E)).
% 1.94/2.14 0 [] maps($c4,$c3,$c2).
% 1.94/2.14 0 [] -member(X1,$c3)| -member(X2,$c3)| -apply($c1,X1,X2)|member($f58(X1,X2),$c2).
% 1.94/2.14 0 [] -member(X1,$c3)| -member(X2,$c3)| -apply($c1,X1,X2)|apply($c4,X1,$f58(X1,X2)).
% 1.94/2.14 0 [] -member(X1,$c3)| -member(X2,$c3)| -apply($c1,X1,X2)|apply($c4,X2,$f58(X1,X2)).
% 1.94/2.14 0 [] -member(X1,$c3)| -member(X2,$c3)|apply($c1,X1,X2)| -member(Y,$c2)| -apply($c4,X1,Y)| -apply($c4,X2,Y).
% 1.94/2.14 0 [] -e_quivalence($c1,$c3).
% 1.94/2.14 end_of_list.
% 1.94/2.14
% 1.94/2.14 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 1.94/2.14
% 1.94/2.14 This ia a non-Horn set with equality. The strategy will be
% 1.94/2.14 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.94/2.14 deletion, with positive clauses in sos and nonpositive
% 1.94/2.14 clauses in usable.
% 1.94/2.14
% 1.94/2.14 dependent: set(knuth_bendix).
% 1.94/2.14 dependent: set(anl_eq).
% 1.94/2.14 dependent: set(para_from).
% 1.94/2.14 dependent: set(para_into).
% 1.94/2.14 dependent: clear(para_from_right).
% 1.94/2.14 dependent: clear(para_into_right).
% 1.94/2.14 dependent: set(para_from_vars).
% 1.94/2.14 dependent: set(eq_units_both_ways).
% 1.94/2.14 dependent: set(dynamic_demod_all).
% 1.94/2.14 dependent: set(dynamic_demod).
% 1.94/2.14 dependent: set(order_eq).
% 1.94/2.14 dependent: set(back_demod).
% 1.94/2.14 dependent: set(lrpo).
% 1.94/2.14 dependent: set(hyper_res).
% 1.94/2.14 dependent: set(unit_deletion).
% 1.94/2.14 dependent: set(factor).
% 1.94/2.14
% 1.94/2.14 ------------> process usable:
% 1.94/2.14 ** KEPT (pick-wt=9): 1 [] -subset(A,B)| -member(C,A)|member(C,B).
% 1.94/2.14 ** KEPT (pick-wt=8): 2 [] subset(A,B)| -member($f1(A,B),B).
% 1.94/2.14 ** KEPT (pick-wt=6): 3 [] -e_qual_set(A,B)|subset(A,B).
% 1.94/2.14 ** KEPT (pick-wt=6): 4 [] -e_qual_set(A,B)|subset(B,A).
% 1.94/2.14 ** KEPT (pick-wt=9): 5 [] e_qual_set(A,B)| -subset(A,B)| -subset(B,A).
% 1.94/2.14 ** KEPT (pick-wt=7): 6 [] -member(A,power_set(B))|subset(A,B).
% 1.94/2.14 ** KEPT (pick-wt=7): 7 [] member(A,power_set(B))| -subset(A,B).
% 1.94/2.14 ** KEPT (pick-wt=8): 8 [] -member(A,intersection(B,C))|member(A,B).
% 1.94/2.14 ** KEPT (pick-wt=8): 9 [] -member(A,intersection(B,C))|member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=11): 10 [] member(A,intersection(B,C))| -member(A,B)| -member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=11): 11 [] -member(A,union(B,C))|member(A,B)|member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=8): 12 [] member(A,union(B,C))| -member(A,B).
% 1.94/2.14 ** KEPT (pick-wt=8): 13 [] member(A,union(B,C))| -member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=3): 14 [] -member(A,empty_set).
% 1.94/2.14 ** KEPT (pick-wt=8): 15 [] -member(A,difference(B,C))|member(A,B).
% 1.94/2.14 ** KEPT (pick-wt=8): 16 [] -member(A,difference(B,C))| -member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=11): 17 [] member(A,difference(B,C))| -member(A,B)|member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=7): 18 [] -member(A,singleton(B))|A=B.
% 1.94/2.14 ** KEPT (pick-wt=7): 19 [] member(A,singleton(B))|A!=B.
% 1.94/2.14 ** KEPT (pick-wt=11): 20 [] -member(A,unordered_pair(B,C))|A=B|A=C.
% 1.94/2.14 ** KEPT (pick-wt=8): 21 [] member(A,unordered_pair(B,C))|A!=B.
% 1.94/2.14 ** KEPT (pick-wt=8): 22 [] member(A,unordered_pair(B,C))|A!=C.
% 1.94/2.14 ** KEPT (pick-wt=9): 23 [] -member(A,sum(B))|member($f2(A,B),B).
% 1.94/2.14 ** KEPT (pick-wt=9): 24 [] -member(A,sum(B))|member(A,$f2(A,B)).
% 1.94/2.14 ** KEPT (pick-wt=10): 25 [] member(A,sum(B))| -member(C,B)| -member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=10): 26 [] -member(A,product(B))| -member(C,B)|member(A,C).
% 1.94/2.14 ** KEPT (pick-wt=9): 27 [] member(A,product(B))| -member(A,$f3(A,B)).
% 1.94/2.14 ** KEPT (pick-wt=14): 28 [] -maps(A,B,C)| -member(D,B)|member($f4(A,B,C,D),C).
% 1.94/2.14 ** KEPT (pick-wt=15): 29 [] -maps(A,B,C)| -member(D,B)|apply(A,D,$f4(A,B,C,D)).
% 1.94/2.14 ** KEPT (pick-wt=24): 30 [] -maps(A,B,C)| -member(D,B)| -member(E,C)| -member(F,C)| -apply(A,D,E)| -apply(A,D,F)|E=F.
% 1.94/2.14 ** KEPT (pick-wt=19): 31 [] maps(A,B,C)|member($f5(A,B,C),B)|$f7(A,B,C)!=$f6(A,B,C).
% 1.94/2.14 ** KEPT (pick-wt=20): 32 [] maps(A,B,C)| -member(D,C)| -apply(A,$f5(A,B,C),D)|member($f8(A,B,C),B).
% 1.94/2.14 ** KEPT (pick-wt=20): 33 [] maps(A,B,C)| -member(D,C)| -apply(A,$f5(A,B,C),D)|member($f7(A,B,C),C).
% 1.94/2.14 ** KEPT (pick-wt=20): 34 [] maps(A,B,C)| -member(D,C)| -apply(A,$f5(A,B,C),D)|member($f6(A,B,C),C).
% 1.94/2.14 ** KEPT (pick-wt=24): 35 [] maps(A,B,C)| -member(D,C)| -apply(A,$f5(A,B,C),D)|apply(A,$f8(A,B,C),$f7(A,B,C)).
% 1.94/2.14 ** KEPT (pick-wt=24): 36 [] maps(A,B,C)| -member(D,C)| -apply(A,$f5(A,B,C),D)|apply(A,$f8(A,B,C),$f6(A,B,C)).
% 1.94/2.14 ** KEPT (pick-wt=23): 37 [] maps(A,B,C)| -member(D,C)| -apply(A,$f5(A,B,C),D)|$f7(A,B,C)!=$f6(A,B,C).
% 1.94/2.14 ** KEPT (pick-wt=28): 38 [] -compose_predicate(A,B,C,D,E,F)| -member(G,D)| -member(H,F)| -apply(A,G,H)|member($f9(A,B,C,D,E,F,G,H),E).
% 1.94/2.14 ** KEPT (pick-wt=29): 39 [] -compose_predicate(A,B,C,D,E,F)| -member(G,D)| -member(H,F)| -apply(A,G,H)|apply(C,G,$f9(A,B,C,D,E,F,G,H)).
% 1.94/2.14 ** KEPT (pick-wt=29): 40 [] -compose_predicate(A,B,C,D,E,F)| -member(G,D)| -member(H,F)| -apply(A,G,H)|apply(B,$f9(A,B,C,D,E,F,G,H),H).
% 1.94/2.14 ** KEPT (pick-wt=28): 41 [] -compose_predicate(A,B,C,D,E,F)| -member(G,D)| -member(H,F)|apply(A,G,H)| -member(I,E)| -apply(C,G,I)| -apply(B,I,H).
% 1.94/2.14 ** KEPT (pick-wt=46): 42 [] compose_predicate(A,B,C,D,E,F)| -apply(A,$f12(A,B,C,D,E,F),$f11(A,B,C,D,E,F))| -member(G,E)| -apply(C,$f12(A,B,C,D,E,F),G)| -apply(B,G,$f11(A,B,C,D,E,F)).
% 1.94/2.14 ** KEPT (pick-wt=25): 43 [] -member(A,B)| -member(C,D)| -apply(compose_function(E,F,B,G,D),A,C)|member($f13(E,F,B,G,D,A,C),G).
% 1.94/2.14 ** KEPT (pick-wt=26): 44 [] -member(A,B)| -member(C,D)| -apply(compose_function(E,F,B,G,D),A,C)|apply(F,A,$f13(E,F,B,G,D,A,C)).
% 1.94/2.14 ** KEPT (pick-wt=26): 45 [] -member(A,B)| -member(C,D)| -apply(compose_function(E,F,B,G,D),A,C)|apply(E,$f13(E,F,B,G,D,A,C),C).
% 1.94/2.14 ** KEPT (pick-wt=26): 46 [] -member(A,B)| -member(C,D)|apply(compose_function(E,F,B,G,D),A,C)| -member(H,G)| -apply(F,A,H)| -apply(E,H,C).
% 1.94/2.14 ** KEPT (pick-wt=25): 47 [] -e_qual_maps(A,B,C,D)| -member(E,C)| -member(F,D)| -member(G,D)| -apply(A,E,F)| -apply(B,E,G)|F=G.
% 1.94/2.14 ** KEPT (pick-wt=16): 48 [] e_qual_maps(A,B,C,D)|$f15(A,B,C,D)!=$f14(A,B,C,D).
% 1.94/2.14 ** KEPT (pick-wt=10): 49 [] -identity(A,B)| -member(C,B)|apply(A,C,C).
% 1.94/2.14 ** KEPT (pick-wt=11): 50 [] identity(A,B)| -apply(A,$f17(A,B),$f17(A,B)).
% 1.94/2.14 ** KEPT (pick-wt=24): 51 [] -injective(A,B,C)| -member(D,B)| -member(E,B)| -member(F,C)| -apply(A,D,F)| -apply(A,E,F)|D=E.
% 1.94/2.14 ** KEPT (pick-wt=13): 52 [] injective(A,B,C)|$f20(A,B,C)!=$f19(A,B,C).
% 1.94/2.14 ** KEPT (pick-wt=14): 53 [] -surjective(A,B,C)| -member(D,C)|member($f21(A,B,C,D),B).
% 1.94/2.14 ** KEPT (pick-wt=15): 54 [] -surjective(A,B,C)| -member(D,C)|apply(A,$f21(A,B,C,D),D).
% 1.94/2.14 ** KEPT (pick-wt=14): 55 [] surjective(A,B,C)| -member(D,B)| -apply(A,D,$f22(A,B,C)).
% 1.94/2.14 ** KEPT (pick-wt=8): 56 [] -one_to_one(A,B,C)|injective(A,B,C).
% 1.94/2.14 ** KEPT (pick-wt=8): 57 [] -one_to_one(A,B,C)|surjective(A,B,C).
% 1.94/2.14 ** KEPT (pick-wt=12): 58 [] one_to_one(A,B,C)| -injective(A,B,C)| -surjective(A,B,C).
% 1.94/2.14 ** KEPT (pick-wt=19): 59 [] -inverse_predicate(A,B,C,D)| -member(E,C)| -member(F,D)| -apply(B,E,F)|apply(A,F,E).
% 1.94/2.14 ** KEPT (pick-wt=19): 60 [] -inverse_predicate(A,B,C,D)| -member(E,C)| -member(F,D)|apply(B,E,F)| -apply(A,F,E).
% 1.94/2.15 ** KEPT (pick-wt=29): 61 [] inverse_predicate(A,B,C,D)| -apply(B,$f24(A,B,C,D),$f23(A,B,C,D))| -apply(A,$f23(A,B,C,D),$f24(A,B,C,D)).
% 1.94/2.15 ** KEPT (pick-wt=17): 62 [] -member(A,B)| -member(C,D)| -apply(E,A,C)|apply(inverse_function(E,B,D),C,A).
% 1.94/2.15 ** KEPT (pick-wt=17): 63 [] -member(A,B)| -member(C,D)|apply(E,A,C)| -apply(inverse_function(E,B,D),C,A).
% 1.94/2.15 ** KEPT (pick-wt=11): 64 [] -member(A,image2(B,C))|member($f25(B,C,A),C).
% 1.94/2.15 ** KEPT (pick-wt=12): 65 [] -member(A,image2(B,C))|apply(B,$f25(B,C,A),A).
% 1.94/2.15 ** KEPT (pick-wt=12): 66 [] member(A,image2(B,C))| -member(D,C)| -apply(B,D,A).
% 1.94/2.15 ** KEPT (pick-wt=9): 67 [] -member(A,image3(B,C,D))|member(A,D).
% 1.94/2.15 ** KEPT (pick-wt=13): 68 [] -member(A,image3(B,C,D))|member($f26(B,C,D,A),C).
% 1.94/2.15 ** KEPT (pick-wt=14): 69 [] -member(A,image3(B,C,D))|apply(B,$f26(B,C,D,A),A).
% 1.94/2.15 ** KEPT (pick-wt=16): 70 [] member(A,image3(B,C,D))| -member(A,D)| -member(E,C)| -apply(B,E,A).
% 1.94/2.15 ** KEPT (pick-wt=11): 71 [] -member(A,inverse_image2(B,C))|member($f27(B,C,A),C).
% 1.94/2.15 ** KEPT (pick-wt=12): 72 [] -member(A,inverse_image2(B,C))|apply(B,A,$f27(B,C,A)).
% 1.94/2.15 ** KEPT (pick-wt=12): 73 [] member(A,inverse_image2(B,C))| -member(D,C)| -apply(B,A,D).
% 1.94/2.15 ** KEPT (pick-wt=9): 74 [] -member(A,inverse_image3(B,C,D))|member(A,D).
% 1.94/2.15 ** KEPT (pick-wt=13): 75 [] -member(A,inverse_image3(B,C,D))|member($f28(B,C,D,A),C).
% 1.94/2.15 ** KEPT (pick-wt=14): 76 [] -member(A,inverse_image3(B,C,D))|apply(B,A,$f28(B,C,D,A)).
% 1.94/2.15 ** KEPT (pick-wt=16): 77 [] member(A,inverse_image3(B,C,D))| -member(A,D)| -member(E,C)| -apply(B,A,E).
% 1.94/2.15 ** KEPT (pick-wt=34): 78 [] -increasing(A,B,C,D,E)| -member(F,B)| -member(G,D)| -member(H,B)| -member(I,D)| -apply(C,F,H)| -apply(A,F,G)| -apply(A,H,I)|apply(E,G,I).
% 1.94/2.15 ** KEPT (pick-wt=20): 79 [] increasing(A,B,C,D,E)| -apply(E,$f31(A,B,C,D,E),$f29(A,B,C,D,E)).
% 1.94/2.15 ** KEPT (pick-wt=34): 80 [] -decreasing(A,B,C,D,E)| -member(F,B)| -member(G,D)| -member(H,B)| -member(I,D)| -apply(C,F,H)| -apply(A,F,G)| -apply(A,H,I)|apply(E,I,G).
% 1.94/2.15 ** KEPT (pick-wt=20): 81 [] decreasing(A,B,C,D,E)| -apply(E,$f33(A,B,C,D,E),$f35(A,B,C,D,E)).
% 1.94/2.15 ** KEPT (pick-wt=10): 82 [] -isomorphism(A,B,C,D,E)|maps(A,B,D).
% 1.94/2.15 ** KEPT (pick-wt=10): 83 [] -isomorphism(A,B,C,D,E)|one_to_one(A,B,D).
% 1.94/2.15 ** KEPT (pick-wt=34): 84 [] -isomorphism(A,B,C,D,E)| -member(F,B)| -member(G,D)| -member(H,B)| -member(I,D)| -apply(A,F,G)| -apply(A,H,I)| -apply(C,F,H)|apply(E,G,I).
% 1.94/2.15 ** KEPT (pick-wt=34): 85 [] -isomorphism(A,B,C,D,E)| -member(F,B)| -member(G,D)| -member(H,B)| -member(I,D)| -apply(A,F,G)| -apply(A,H,I)|apply(C,F,H)| -apply(E,G,I).
% 1.94/2.15 ** KEPT (pick-wt=22): 86 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)|member($f40(A,B,C,D,E),B).
% 1.94/2.15 ** KEPT (pick-wt=22): 87 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)|member($f39(A,B,C,D,E),D).
% 1.94/2.15 ** KEPT (pick-wt=22): 88 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)|member($f38(A,B,C,D,E),B).
% 1.94/2.15 ** KEPT (pick-wt=22): 89 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)|member($f37(A,B,C,D,E),D).
% 1.94/2.15 ** KEPT (pick-wt=28): 90 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)|apply(A,$f40(A,B,C,D,E),$f39(A,B,C,D,E)).
% 1.94/2.15 ** KEPT (pick-wt=28): 91 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)|apply(A,$f38(A,B,C,D,E),$f37(A,B,C,D,E)).
% 1.94/2.15 ** KEPT (pick-wt=42): 92 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)|apply(C,$f40(A,B,C,D,E),$f38(A,B,C,D,E))|apply(E,$f39(A,B,C,D,E),$f37(A,B,C,D,E)).
% 1.94/2.15 ** KEPT (pick-wt=42): 93 [] isomorphism(A,B,C,D,E)| -maps(A,B,D)| -one_to_one(A,B,D)| -apply(C,$f40(A,B,C,D,E),$f38(A,B,C,D,E))| -apply(E,$f39(A,B,C,D,E),$f37(A,B,C,D,E)).
% 1.94/2.15 ** KEPT (pick-wt=9): 94 [] -disjoint(A,B)| -member(C,A)| -member(C,B).
% 1.94/2.15 ** KEPT (pick-wt=9): 95 [] -partition(A,B)| -member(C,A)|subset(C,B).
% 1.94/2.15 ** KEPT (pick-wt=12): 96 [] -partition(A,B)| -member(C,B)|member($f42(A,B,C),A).
% 1.94/2.15 ** KEPT (pick-wt=12): 97 [] -partition(A,B)| -member(C,B)|member(C,$f42(A,B,C)).
% 1.94/2.15 ** KEPT (pick-wt=18): 98 [] -partition(A,B)| -member(C,A)| -member(D,A)| -member(E,C)| -member(E,D)|C=D.
% 1.94/2.15 ** KEPT (pick-wt=20): 99 [] partition(A,B)|member($f43(A,B),A)|member($f44(A,B),B)|$f47(A,B)!=$f46(A,B).
% 1.94/2.15 ** KEPT (pick-wt=21): 100 [] partition(A,B)|member($f43(A,B),A)| -member(C,A)| -member($f44(A,B),C)|member($f47(A,B),A).
% 2.08/2.22 ** KEPT (pick-wt=21): 101 [] partition(A,B)|member($f43(A,B),A)| -member(C,A)| -member($f44(A,B),C)|member($f46(A,B),A).
% 2.08/2.22 ** KEPT (pick-wt=23): 102 [] partition(A,B)|member($f43(A,B),A)| -member(C,A)| -member($f44(A,B),C)|member($f45(A,B),$f47(A,B)).
% 2.08/2.22 ** KEPT (pick-wt=23): 103 [] partition(A,B)|member($f43(A,B),A)| -member(C,A)| -member($f44(A,B),C)|member($f45(A,B),$f46(A,B)).
% 2.08/2.22 ** KEPT (pick-wt=23): 104 [] partition(A,B)|member($f43(A,B),A)| -member(C,A)| -member($f44(A,B),C)|$f47(A,B)!=$f46(A,B).
% 2.08/2.22 ** KEPT (pick-wt=18): 105 [] partition(A,B)| -subset($f43(A,B),B)|member($f44(A,B),B)|member($f47(A,B),A).
% 2.08/2.22 ** KEPT (pick-wt=18): 106 [] partition(A,B)| -subset($f43(A,B),B)|member($f44(A,B),B)|member($f46(A,B),A).
% 2.08/2.22 ** KEPT (pick-wt=20): 107 [] partition(A,B)| -subset($f43(A,B),B)|member($f44(A,B),B)|member($f45(A,B),$f47(A,B)).
% 2.08/2.22 ** KEPT (pick-wt=20): 108 [] partition(A,B)| -subset($f43(A,B),B)|member($f44(A,B),B)|member($f45(A,B),$f46(A,B)).
% 2.08/2.22 ** KEPT (pick-wt=20): 109 [] partition(A,B)| -subset($f43(A,B),B)|member($f44(A,B),B)|$f47(A,B)!=$f46(A,B).
% 2.08/2.22 ** KEPT (pick-wt=21): 110 [] partition(A,B)| -subset($f43(A,B),B)| -member(C,A)| -member($f44(A,B),C)|member($f47(A,B),A).
% 2.08/2.22 ** KEPT (pick-wt=21): 111 [] partition(A,B)| -subset($f43(A,B),B)| -member(C,A)| -member($f44(A,B),C)|member($f46(A,B),A).
% 2.08/2.22 ** KEPT (pick-wt=23): 112 [] partition(A,B)| -subset($f43(A,B),B)| -member(C,A)| -member($f44(A,B),C)|member($f45(A,B),$f47(A,B)).
% 2.08/2.22 ** KEPT (pick-wt=23): 113 [] partition(A,B)| -subset($f43(A,B),B)| -member(C,A)| -member($f44(A,B),C)|member($f45(A,B),$f46(A,B)).
% 2.08/2.22 ** KEPT (pick-wt=23): 114 [] partition(A,B)| -subset($f43(A,B),B)| -member(C,A)| -member($f44(A,B),C)|$f47(A,B)!=$f46(A,B).
% 2.08/2.22 ** KEPT (pick-wt=10): 115 [] -e_quivalence(A,B)| -member(C,B)|apply(A,C,C).
% 2.08/2.22 ** KEPT (pick-wt=17): 116 [] -e_quivalence(A,B)| -member(C,B)| -member(D,B)| -apply(A,C,D)|apply(A,D,C).
% 2.08/2.22 ** KEPT (pick-wt=24): 117 [] -e_quivalence(A,B)| -member(C,B)| -member(D,B)| -member(E,B)| -apply(A,C,D)| -apply(A,D,E)|apply(A,C,E).
% 2.08/2.22 ** KEPT (pick-wt=21): 118 [] e_quivalence(A,B)|member($f48(B,A),B)|member($f50(B,A),B)| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=21): 119 [] e_quivalence(A,B)|member($f48(B,A),B)|member($f49(B,A),B)| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=24): 120 [] e_quivalence(A,B)|member($f48(B,A),B)|apply(A,$f50(B,A),$f49(B,A))| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=21): 121 [] e_quivalence(A,B)|member($f48(B,A),B)| -apply(A,$f49(B,A),$f50(B,A))|member($f53(B,A),B).
% 2.08/2.22 ** KEPT (pick-wt=21): 122 [] e_quivalence(A,B)|member($f48(B,A),B)| -apply(A,$f49(B,A),$f50(B,A))|member($f52(B,A),B).
% 2.08/2.22 ** KEPT (pick-wt=21): 123 [] e_quivalence(A,B)|member($f48(B,A),B)| -apply(A,$f49(B,A),$f50(B,A))|member($f51(B,A),B).
% 2.08/2.22 ** KEPT (pick-wt=24): 124 [] e_quivalence(A,B)|member($f48(B,A),B)| -apply(A,$f49(B,A),$f50(B,A))|apply(A,$f53(B,A),$f52(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=24): 125 [] e_quivalence(A,B)|member($f48(B,A),B)| -apply(A,$f49(B,A),$f50(B,A))|apply(A,$f52(B,A),$f51(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=24): 126 [] e_quivalence(A,B)|member($f48(B,A),B)| -apply(A,$f49(B,A),$f50(B,A))| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=21): 127 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f50(B,A),B)|member($f53(B,A),B).
% 2.08/2.22 ** KEPT (pick-wt=21): 128 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f50(B,A),B)|member($f52(B,A),B).
% 2.08/2.22 ** KEPT (pick-wt=21): 129 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f50(B,A),B)|member($f51(B,A),B).
% 2.08/2.22 ** KEPT (pick-wt=24): 130 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f50(B,A),B)|apply(A,$f53(B,A),$f52(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=24): 131 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f50(B,A),B)|apply(A,$f52(B,A),$f51(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=24): 132 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f50(B,A),B)| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.22 ** KEPT (pick-wt=21): 133 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f49(B,A),B)|member($f53(B,A),B).
% 2.08/2.22 ** KEPT (pick-wt=21): 134 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f49(B,A),B)|member($f52(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=21): 135 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f49(B,A),B)|member($f51(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=24): 136 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f49(B,A),B)|apply(A,$f53(B,A),$f52(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=24): 137 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f49(B,A),B)|apply(A,$f52(B,A),$f51(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=24): 138 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|member($f49(B,A),B)| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=24): 139 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|apply(A,$f50(B,A),$f49(B,A))|member($f53(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=24): 140 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|apply(A,$f50(B,A),$f49(B,A))|member($f52(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=24): 141 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|apply(A,$f50(B,A),$f49(B,A))|member($f51(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=27): 142 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|apply(A,$f50(B,A),$f49(B,A))|apply(A,$f53(B,A),$f52(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=27): 143 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|apply(A,$f50(B,A),$f49(B,A))|apply(A,$f52(B,A),$f51(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=27): 144 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))|apply(A,$f50(B,A),$f49(B,A))| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=24): 145 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))| -apply(A,$f49(B,A),$f50(B,A))|member($f53(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=24): 146 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))| -apply(A,$f49(B,A),$f50(B,A))|member($f52(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=24): 147 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))| -apply(A,$f49(B,A),$f50(B,A))|member($f51(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=27): 148 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))| -apply(A,$f49(B,A),$f50(B,A))|apply(A,$f53(B,A),$f52(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=27): 149 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))| -apply(A,$f49(B,A),$f50(B,A))|apply(A,$f52(B,A),$f51(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=27): 150 [] e_quivalence(A,B)| -apply(A,$f48(B,A),$f48(B,A))| -apply(A,$f49(B,A),$f50(B,A))| -apply(A,$f53(B,A),$f51(B,A)).
% 2.08/2.23 ** KEPT (pick-wt=9): 151 [] -member(A,e_quivalence_class(B,C,D))|member(A,C).
% 2.08/2.23 ** KEPT (pick-wt=10): 152 [] -member(A,e_quivalence_class(B,C,D))|apply(D,B,A).
% 2.08/2.23 ** KEPT (pick-wt=13): 153 [] member(A,e_quivalence_class(B,C,D))| -member(A,C)| -apply(D,B,A).
% 2.08/2.23 ** KEPT (pick-wt=10): 154 [] -pre_order(A,B)| -member(C,B)|apply(A,C,C).
% 2.08/2.23 ** KEPT (pick-wt=24): 155 [] -pre_order(A,B)| -member(C,B)| -member(D,B)| -member(E,B)| -apply(A,C,D)| -apply(A,D,E)|apply(A,C,E).
% 2.08/2.23 ** KEPT (pick-wt=16): 156 [] pre_order(A,B)|member($f54(A,B),B)| -apply(A,$f57(A,B),$f55(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=16): 157 [] pre_order(A,B)| -apply(A,$f54(A,B),$f54(A,B))|member($f57(A,B),B).
% 2.08/2.23 ** KEPT (pick-wt=16): 158 [] pre_order(A,B)| -apply(A,$f54(A,B),$f54(A,B))|member($f56(A,B),B).
% 2.08/2.23 ** KEPT (pick-wt=16): 159 [] pre_order(A,B)| -apply(A,$f54(A,B),$f54(A,B))|member($f55(A,B),B).
% 2.08/2.23 ** KEPT (pick-wt=19): 160 [] pre_order(A,B)| -apply(A,$f54(A,B),$f54(A,B))|apply(A,$f57(A,B),$f56(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=19): 161 [] pre_order(A,B)| -apply(A,$f54(A,B),$f54(A,B))|apply(A,$f56(A,B),$f55(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=19): 162 [] pre_order(A,B)| -apply(A,$f54(A,B),$f54(A,B))| -apply(A,$f57(A,B),$f55(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=15): 163 [] -member(A,$c3)| -member(B,$c3)| -apply($c1,A,B)|member($f58(A,B),$c2).
% 2.08/2.23 ** KEPT (pick-wt=16): 164 [] -member(A,$c3)| -member(B,$c3)| -apply($c1,A,B)|apply($c4,A,$f58(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=16): 165 [] -member(A,$c3)| -member(B,$c3)| -apply($c1,A,B)|apply($c4,B,$f58(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=21): 166 [] -member(A,$c3)| -member(B,$c3)|apply($c1,A,B)| -member(C,$c2)| -apply($c4,A,C)| -apply($c4,B,C).
% 2.08/2.23 ** KEPT (pick-wt=3): 167 [] -e_quivalence($c1,$c3).
% 2.08/2.23
% 2.08/2.23 ------------> process sos:
% 2.08/2.23 ** KEPT (pick-wt=3): 321 [] A=A.
% 2.08/2.23 ** KEPT (pick-wt=8): 322 [] subset(A,B)|member($f1(A,B),A).
% 2.08/2.23 ** KEPT (pick-wt=9): 323 [] member(A,product(B))|member($f3(A,B),B).
% 2.08/2.23 ** KEPT (pick-wt=16): 324 [] maps(A,B,C)|member($f5(A,B,C),B)|member($f8(A,B,C),B).
% 2.08/2.23 ** KEPT (pick-wt=16): 325 [] maps(A,B,C)|member($f5(A,B,C),B)|member($f7(A,B,C),C).
% 2.08/2.23 ** KEPT (pick-wt=16): 326 [] maps(A,B,C)|member($f5(A,B,C),B)|member($f6(A,B,C),C).
% 2.08/2.23 ** KEPT (pick-wt=20): 327 [] maps(A,B,C)|member($f5(A,B,C),B)|apply(A,$f8(A,B,C),$f7(A,B,C)).
% 2.08/2.23 ** KEPT (pick-wt=20): 328 [] maps(A,B,C)|member($f5(A,B,C),B)|apply(A,$f8(A,B,C),$f6(A,B,C)).
% 2.08/2.23 ** KEPT (pick-wt=16): 329 [] compose_predicate(A,B,C,D,E,F)|member($f12(A,B,C,D,E,F),D).
% 2.08/2.23 ** KEPT (pick-wt=16): 330 [] compose_predicate(A,B,C,D,E,F)|member($f11(A,B,C,D,E,F),F).
% 2.08/2.23 ** KEPT (pick-wt=32): 331 [] compose_predicate(A,B,C,D,E,F)|apply(A,$f12(A,B,C,D,E,F),$f11(A,B,C,D,E,F))|member($f10(A,B,C,D,E,F),E).
% 2.08/2.23 ** KEPT (pick-wt=39): 332 [] compose_predicate(A,B,C,D,E,F)|apply(A,$f12(A,B,C,D,E,F),$f11(A,B,C,D,E,F))|apply(C,$f12(A,B,C,D,E,F),$f10(A,B,C,D,E,F)).
% 2.08/2.23 ** KEPT (pick-wt=39): 333 [] compose_predicate(A,B,C,D,E,F)|apply(A,$f12(A,B,C,D,E,F),$f11(A,B,C,D,E,F))|apply(B,$f10(A,B,C,D,E,F),$f11(A,B,C,D,E,F)).
% 2.08/2.23 ** KEPT (pick-wt=12): 334 [] e_qual_maps(A,B,C,D)|member($f16(A,B,C,D),C).
% 2.08/2.23 ** KEPT (pick-wt=12): 335 [] e_qual_maps(A,B,C,D)|member($f15(A,B,C,D),D).
% 2.08/2.23 ** KEPT (pick-wt=12): 336 [] e_qual_maps(A,B,C,D)|member($f14(A,B,C,D),D).
% 2.08/2.23 ** KEPT (pick-wt=17): 337 [] e_qual_maps(A,B,C,D)|apply(A,$f16(A,B,C,D),$f15(A,B,C,D)).
% 2.08/2.23 ** KEPT (pick-wt=17): 338 [] e_qual_maps(A,B,C,D)|apply(B,$f16(A,B,C,D),$f14(A,B,C,D)).
% 2.08/2.23 ** KEPT (pick-wt=8): 339 [] identity(A,B)|member($f17(A,B),B).
% 2.08/2.23 ** KEPT (pick-wt=10): 340 [] injective(A,B,C)|member($f20(A,B,C),B).
% 2.08/2.23 ** KEPT (pick-wt=10): 341 [] injective(A,B,C)|member($f19(A,B,C),B).
% 2.08/2.23 ** KEPT (pick-wt=10): 342 [] injective(A,B,C)|member($f18(A,B,C),C).
% 2.08/2.23 ** KEPT (pick-wt=14): 343 [] injective(A,B,C)|apply(A,$f20(A,B,C),$f18(A,B,C)).
% 2.08/2.23 ** KEPT (pick-wt=14): 344 [] injective(A,B,C)|apply(A,$f19(A,B,C),$f18(A,B,C)).
% 2.08/2.23 ** KEPT (pick-wt=10): 345 [] surjective(A,B,C)|member($f22(A,B,C),C).
% 2.08/2.23 ** KEPT (pick-wt=12): 346 [] inverse_predicate(A,B,C,D)|member($f24(A,B,C,D),C).
% 2.08/2.23 ** KEPT (pick-wt=12): 347 [] inverse_predicate(A,B,C,D)|member($f23(A,B,C,D),D).
% 2.08/2.23 ** KEPT (pick-wt=29): 348 [] inverse_predicate(A,B,C,D)|apply(B,$f24(A,B,C,D),$f23(A,B,C,D))|apply(A,$f23(A,B,C,D),$f24(A,B,C,D)).
% 2.08/2.23 ** KEPT (pick-wt=14): 349 [] increasing(A,B,C,D,E)|member($f32(A,B,C,D,E),B).
% 2.08/2.23 ** KEPT (pick-wt=14): 350 [] increasing(A,B,C,D,E)|member($f31(A,B,C,D,E),D).
% 2.08/2.23 ** KEPT (pick-wt=14): 351 [] increasing(A,B,C,D,E)|member($f30(A,B,C,D,E),B).
% 2.08/2.23 ** KEPT (pick-wt=14): 352 [] increasing(A,B,C,D,E)|member($f29(A,B,C,D,E),D).
% 2.08/2.23 ** KEPT (pick-wt=20): 353 [] increasing(A,B,C,D,E)|apply(C,$f32(A,B,C,D,E),$f30(A,B,C,D,E)).
% 2.08/2.23 ** KEPT (pick-wt=20): 354 [] increasing(A,B,C,D,E)|apply(A,$f32(A,B,C,D,E),$f31(A,B,C,D,E)).
% 2.08/2.23 ** KEPT (pick-wt=20): 355 [] increasing(A,B,C,D,E)|apply(A,$f30(A,B,C,D,E),$f29(A,B,C,D,E)).
% 2.08/2.23 ** KEPT (pick-wt=14): 356 [] decreasing(A,B,C,D,E)|member($f36(A,B,C,D,E),B).
% 2.08/2.23 ** KEPT (pick-wt=14): 357 [] decreasing(A,B,C,D,E)|member($f35(A,B,C,D,E),D).
% 2.08/2.23 ** KEPT (pick-wt=14): 358 [] decreasing(A,B,C,D,E)|member($f34(A,B,C,D,E),B).
% 2.08/2.23 ** KEPT (pick-wt=14): 359 [] decreasing(A,B,C,D,E)|member($f33(A,B,C,D,E),D).
% 2.08/2.23 ** KEPT (pick-wt=20): 360 [] decreasing(A,B,C,D,E)|apply(C,$f36(A,B,C,D,E),$f34(A,B,C,D,E)).
% 2.08/2.23 ** KEPT (pick-wt=20): 361 [] decreasing(A,B,C,D,E)|apply(A,$f36(A,B,C,D,E),$f35(A,B,C,D,E)).
% 2.08/2.23 ** KEPT (pick-wt=20): 362 [] decreasing(A,B,C,D,E)|apply(A,$f34(A,B,C,D,E),$f33(A,B,C,D,E)).
% 2.08/2.23 ** KEPT (pick-wt=8): 363 [] disjoint(A,B)|member($f41(A,B),A).
% 2.08/2.23 ** KEPT (pick-wt=8): 364 [] disjoint(A,B)|member($f41(A,B),B).
% 2.08/2.23 ** KEPT (pick-wt=18): 365 [] partition(A,B)|member($f43(A,B),A)|member($f44(A,B),B)|member($f47(A,B),A).
% 2.08/2.23 ** KEPT (pick-wt=18): 366 [] partition(A,B)|member($f43(A,B),A)|member($f44(A,B),B)|member($f46(A,B),A).
% 2.08/2.23 ** KEPT (pick-wt=20): 367 [] partition(A,B)|member($f43(A,B),A)|member($f44(A,B),B)|member($f45(A,B),$f47(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=20): 368 [] partition(A,B)|member($f43(A,B),A)|member($f44(A,B),B)|member($f45(A,B),$f46(A,B)).
% 2.08/2.23 ** KEPT (pick-wt=18): 369 [] e_quivalence(A,B)|member($f48(B,A),B)|member($f50(B,A),B)|member($f53(B,A),B).
% 2.08/2.23 ** KEPT (pick-wt=18): 370 [] e_quivalence(A,B)|member($f48(B,A),B)|member($Alarm clock
% 299.97/300.09 Otter interrupted
% 299.97/300.09 PROOF NOT FOUND
%------------------------------------------------------------------------------