TSTP Solution File: SEU289+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU289+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 13:15:29 EDT 2022
% Result : Unknown 222.57s 222.74s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU289+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:52:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.96/2.11 ----- Otter 3.3f, August 2004 -----
% 1.96/2.11 The process was started by sandbox2 on n021.cluster.edu,
% 1.96/2.11 Wed Jul 27 07:52:23 2022
% 1.96/2.11 The command was "./otter". The process ID is 26473.
% 1.96/2.11
% 1.96/2.11 set(prolog_style_variables).
% 1.96/2.11 set(auto).
% 1.96/2.11 dependent: set(auto1).
% 1.96/2.11 dependent: set(process_input).
% 1.96/2.11 dependent: clear(print_kept).
% 1.96/2.11 dependent: clear(print_new_demod).
% 1.96/2.11 dependent: clear(print_back_demod).
% 1.96/2.11 dependent: clear(print_back_sub).
% 1.96/2.11 dependent: set(control_memory).
% 1.96/2.11 dependent: assign(max_mem, 12000).
% 1.96/2.11 dependent: assign(pick_given_ratio, 4).
% 1.96/2.11 dependent: assign(stats_level, 1).
% 1.96/2.11 dependent: assign(max_seconds, 10800).
% 1.96/2.11 clear(print_given).
% 1.96/2.11
% 1.96/2.11 formula_list(usable).
% 1.96/2.11 all A (A=A).
% 1.96/2.11 all A B (in(A,B)-> -in(B,A)).
% 1.96/2.11 all A (empty(A)->function(A)).
% 1.96/2.11 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 1.96/2.11 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.96/2.11 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 1.96/2.11 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.11 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.96/2.11 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 1.96/2.11 all A (relation(A)-> (all B (is_reflexive_in(A,B)<-> (all C (in(C,B)->in(ordered_pair(C,C),A)))))).
% 1.96/2.11 all A (relation(A)-> (all B C (C=fiber(A,B)<-> (all D (in(D,C)<->D!=B&in(ordered_pair(D,B),A)))))).
% 1.96/2.11 all A (relation(A)-> (all B (is_well_founded_in(A,B)<-> (all C (-(subset(C,B)&C!=empty_set& (all D (-(in(D,C)&disjoint(fiber(A,D),C)))))))))).
% 1.96/2.11 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 1.96/2.11 all A (relation(A)-> (all B (is_antisymmetric_in(A,B)<-> (all C D (in(C,B)&in(D,B)&in(ordered_pair(C,D),A)&in(ordered_pair(D,C),A)->C=D))))).
% 1.96/2.11 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 1.96/2.11 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 1.96/2.11 all A (relation(A)-> (all B (well_orders(A,B)<->is_reflexive_in(A,B)&is_transitive_in(A,B)&is_antisymmetric_in(A,B)&is_connected_in(A,B)&is_well_founded_in(A,B)))).
% 1.96/2.11 all A (relation(A)-> (all B (is_connected_in(A,B)<-> (all C D (-(in(C,B)&in(D,B)&C!=D& -in(ordered_pair(C,D),A)& -in(ordered_pair(D,C),A))))))).
% 1.96/2.11 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 $T.
% 1.96/2.11 all A exists B element(B,A).
% 1.96/2.11 empty(empty_set).
% 1.96/2.11 all A B (-empty(ordered_pair(A,B))).
% 1.96/2.11 relation(empty_set).
% 1.96/2.11 relation_empty_yielding(empty_set).
% 1.96/2.11 function(empty_set).
% 1.96/2.11 one_to_one(empty_set).
% 1.96/2.11 empty(empty_set).
% 1.96/2.11 epsilon_transitive(empty_set).
% 1.96/2.11 epsilon_connected(empty_set).
% 1.96/2.11 ordinal(empty_set).
% 1.96/2.11 all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 1.96/2.11 all A B (set_intersection2(A,A)=A).
% 1.96/2.11 exists A (relation(A)&function(A)).
% 1.96/2.11 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.11 exists A empty(A).
% 1.96/2.11 exists A (relation(A)&empty(A)&function(A)).
% 1.96/2.11 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.11 exists A (-empty(A)).
% 1.96/2.11 exists A (relation(A)&function(A)&one_to_one(A)).
% 1.96/2.11 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.96/2.11 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 1.96/2.11 all A B subset(A,A).
% 1.96/2.11 all A B (-empty(A)&relation(B)-> ((all C D E (in(C,A)& (exists F (C=F&in(D,F)& (all G (in(G,F)->in(ordered_pair(D,G),B)))))& (exists H (C=H&in(E,H)& (all I (in(I,H)->in(ordered_pair(E,I),B)))))->D=E))& (all C (-(in(C,A)& (all D (-(exists J (C=J&in(D,J)& (all K (in(K,J)->in(ordered_pair(D,K),B))))))))))-> (exists C (relation(C)&function(C)&relation_dom(C)=A& (all D (in(D,A)-> (exists L (D=L&in(apply(C,D),L)& (all M (in(M,L)->in(ordered_pair(apply(C,D),M),B))))))))))).
% 1.96/2.11 all A B (disjoint(A,B)->disjoint(B,A)).
% 1.96/2.11 all A B (in(A,B)->element(A,B)).
% 1.96/2.11 all A exists B (relation(B)&well_orders(B,A)).
% 1.96/2.11 -(all A (-empty(A)-> -((all B (-(in(B,A)&B=empty_set)))& (all B (relation(B)&function(B)-> -(relation_dom(B)=A& (all C (in(C,A)->in(apply(B,C),C))))))))).
% 1.96/2.11 all A (set_intersection2(A,empty_set)=empty_set).
% 1.96/2.11 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.96/2.11 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.96/2.11 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.96/2.11 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.96/2.11 all A (empty(A)->A=empty_set).
% 1.96/2.11 all A B (-(in(A,B)&empty(B))).
% 1.96/2.11 all A B (-(empty(A)&A!=B&empty(B))).
% 1.96/2.11 all A B (in(A,B)->subset(A,union(B))).
% 1.96/2.11 end_of_list.
% 1.96/2.11
% 1.96/2.11 -------> usable clausifies to:
% 1.96/2.11
% 1.96/2.11 list(usable).
% 1.96/2.11 0 [] A=A.
% 1.96/2.11 0 [] -in(A,B)| -in(B,A).
% 1.96/2.11 0 [] -empty(A)|function(A).
% 1.96/2.11 0 [] -ordinal(A)|epsilon_transitive(A).
% 1.96/2.11 0 [] -ordinal(A)|epsilon_connected(A).
% 1.96/2.11 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.96/2.11 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.96/2.11 0 [] -empty(A)|epsilon_transitive(A).
% 1.96/2.11 0 [] -empty(A)|epsilon_connected(A).
% 1.96/2.11 0 [] -empty(A)|ordinal(A).
% 1.96/2.11 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.96/2.11 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.96/2.11 0 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 1.96/2.11 0 [] -relation(A)|is_reflexive_in(A,B)|in($f1(A,B),B).
% 1.96/2.11 0 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f1(A,B),$f1(A,B)),A).
% 1.96/2.11 0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|D!=B.
% 1.96/2.11 0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|in(ordered_pair(D,B),A).
% 1.96/2.11 0 [] -relation(A)|C!=fiber(A,B)|in(D,C)|D=B| -in(ordered_pair(D,B),A).
% 1.96/2.11 0 [] -relation(A)|C=fiber(A,B)|in($f2(A,B,C),C)|$f2(A,B,C)!=B.
% 1.96/2.11 0 [] -relation(A)|C=fiber(A,B)|in($f2(A,B,C),C)|in(ordered_pair($f2(A,B,C),B),A).
% 1.96/2.11 0 [] -relation(A)|C=fiber(A,B)| -in($f2(A,B,C),C)|$f2(A,B,C)=B| -in(ordered_pair($f2(A,B,C),B),A).
% 1.96/2.11 0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f3(A,B,C),C).
% 1.96/2.11 0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f3(A,B,C)),C).
% 1.96/2.11 0 [] -relation(A)|is_well_founded_in(A,B)|subset($f4(A,B),B).
% 1.96/2.11 0 [] -relation(A)|is_well_founded_in(A,B)|$f4(A,B)!=empty_set.
% 1.96/2.11 0 [] -relation(A)|is_well_founded_in(A,B)| -in(D,$f4(A,B))| -disjoint(fiber(A,D),$f4(A,B)).
% 1.96/2.11 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 1.96/2.11 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 1.96/2.11 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 1.96/2.11 0 [] C=set_intersection2(A,B)|in($f5(A,B,C),C)|in($f5(A,B,C),A).
% 1.96/2.11 0 [] C=set_intersection2(A,B)|in($f5(A,B,C),C)|in($f5(A,B,C),B).
% 1.96/2.11 0 [] C=set_intersection2(A,B)| -in($f5(A,B,C),C)| -in($f5(A,B,C),A)| -in($f5(A,B,C),B).
% 1.96/2.11 0 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 1.96/2.11 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f7(A,B),B).
% 1.96/2.11 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f6(A,B),B).
% 1.96/2.11 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f7(A,B),$f6(A,B)),A).
% 1.96/2.11 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f6(A,B),$f7(A,B)),A).
% 1.96/2.11 0 [] -relation(A)|is_antisymmetric_in(A,B)|$f7(A,B)!=$f6(A,B).
% 1.96/2.11 0 [] B!=union(A)| -in(C,B)|in(C,$f8(A,B,C)).
% 1.96/2.11 0 [] B!=union(A)| -in(C,B)|in($f8(A,B,C),A).
% 1.96/2.11 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 1.96/2.11 0 [] B=union(A)|in($f10(A,B),B)|in($f10(A,B),$f9(A,B)).
% 1.96/2.11 0 [] B=union(A)|in($f10(A,B),B)|in($f9(A,B),A).
% 1.96/2.11 0 [] B=union(A)| -in($f10(A,B),B)| -in($f10(A,B),X1)| -in(X1,A).
% 1.96/2.11 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.96/2.11 0 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 1.96/2.11 0 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 1.96/2.11 0 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 1.96/2.11 0 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 1.96/2.11 0 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 1.96/2.11 0 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 1.96/2.11 0 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 1.96/2.11 0 [] -relation(A)|is_connected_in(A,B)|in($f12(A,B),B).
% 1.96/2.11 0 [] -relation(A)|is_connected_in(A,B)|in($f11(A,B),B).
% 1.96/2.11 0 [] -relation(A)|is_connected_in(A,B)|$f12(A,B)!=$f11(A,B).
% 1.96/2.11 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f12(A,B),$f11(A,B)),A).
% 1.96/2.11 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f11(A,B),$f12(A,B)),A).
% 1.96/2.11 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 1.96/2.11 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] $T.
% 1.96/2.11 0 [] element($f13(A),A).
% 1.96/2.11 0 [] empty(empty_set).
% 1.96/2.11 0 [] -empty(ordered_pair(A,B)).
% 1.96/2.11 0 [] relation(empty_set).
% 1.96/2.11 0 [] relation_empty_yielding(empty_set).
% 1.96/2.11 0 [] function(empty_set).
% 1.96/2.11 0 [] one_to_one(empty_set).
% 1.96/2.11 0 [] empty(empty_set).
% 1.96/2.11 0 [] epsilon_transitive(empty_set).
% 1.96/2.11 0 [] epsilon_connected(empty_set).
% 1.96/2.11 0 [] ordinal(empty_set).
% 1.96/2.11 0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 1.96/2.11 0 [] -ordinal(A)|epsilon_connected(union(A)).
% 1.96/2.11 0 [] -ordinal(A)|ordinal(union(A)).
% 1.96/2.11 0 [] set_intersection2(A,A)=A.
% 1.96/2.11 0 [] relation($c1).
% 1.96/2.11 0 [] function($c1).
% 1.96/2.11 0 [] epsilon_transitive($c2).
% 1.96/2.11 0 [] epsilon_connected($c2).
% 1.96/2.11 0 [] ordinal($c2).
% 1.96/2.11 0 [] empty($c3).
% 1.96/2.11 0 [] relation($c4).
% 1.96/2.11 0 [] empty($c4).
% 1.96/2.11 0 [] function($c4).
% 1.96/2.11 0 [] relation($c5).
% 1.96/2.11 0 [] function($c5).
% 1.96/2.11 0 [] one_to_one($c5).
% 1.96/2.11 0 [] empty($c5).
% 1.96/2.11 0 [] epsilon_transitive($c5).
% 1.96/2.11 0 [] epsilon_connected($c5).
% 1.96/2.11 0 [] ordinal($c5).
% 1.96/2.11 0 [] -empty($c6).
% 1.96/2.11 0 [] relation($c7).
% 1.96/2.11 0 [] function($c7).
% 1.96/2.11 0 [] one_to_one($c7).
% 1.96/2.11 0 [] -empty($c8).
% 1.96/2.11 0 [] epsilon_transitive($c8).
% 1.96/2.11 0 [] epsilon_connected($c8).
% 1.96/2.11 0 [] ordinal($c8).
% 1.96/2.11 0 [] relation($c9).
% 1.96/2.11 0 [] relation_empty_yielding($c9).
% 1.96/2.11 0 [] function($c9).
% 1.96/2.11 0 [] subset(A,A).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.11 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(G,$f14(A,B))|in(ordered_pair($f17(A,B),G),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)| -in(I,$f15(A,B))|in(ordered_pair($f16(A,B),I),B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)|in($f19(A,B,D,J),J)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|function($f22(A,B)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|X2=$f21(A,B,X2).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)|in(apply($f22(A,B),X2),$f21(A,B,X2)).
% 1.96/2.12 0 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f19(A,B,D,J)),B)| -in(X2,A)| -in(M,$f21(A,B,X2))|in(ordered_pair(apply($f22(A,B),X2),M),B).
% 1.96/2.12 0 [] -disjoint(A,B)|disjoint(B,A).
% 1.96/2.12 0 [] -in(A,B)|element(A,B).
% 1.96/2.12 0 [] relation($f23(A)).
% 1.96/2.12 0 [] well_orders($f23(A),A).
% 1.96/2.12 0 [] -empty($c10).
% 1.96/2.12 0 [] -in(B,$c10)|B!=empty_set.
% 1.96/2.12 0 [] -relation(X3)| -function(X3)|relation_dom(X3)!=$c10|in($f24(X3),$c10).
% 1.96/2.12 0 [] -relation(X3)| -function(X3)|relation_dom(X3)!=$c10| -in(apply(X3,$f24(X3)),$f24(X3)).
% 1.96/2.12 0 [] set_intersection2(A,empty_set)=empty_set.
% 1.96/2.12 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.96/2.12 0 [] -element(A,powerset(B))|subset(A,B).
% 1.96/2.12 0 [] element(A,powerset(B))| -subset(A,B).
% 1.96/2.12 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.96/2.12 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.96/2.12 0 [] -empty(A)|A=empty_set.
% 1.96/2.12 0 [] -in(A,B)| -empty(B).
% 1.96/2.12 0 [] -empty(A)|A=B| -empty(B).
% 1.96/2.12 0 [] -in(A,B)|subset(A,union(B)).
% 1.96/2.12 end_of_list.
% 1.96/2.12
% 1.96/2.12 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 1.96/2.12
% 1.96/2.12 This ia a non-Horn set with equality. The strategy will be
% 1.96/2.12 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.96/2.12 deletion, with positive clauses in sos and nonpositive
% 1.96/2.12 clauses in usable.
% 1.96/2.12
% 1.96/2.12 dependent: set(knuth_bendix).
% 1.96/2.12 dependent: set(anl_eq).
% 1.96/2.12 dependent: set(para_from).
% 1.96/2.12 dependent: set(para_into).
% 1.96/2.12 dependent: clear(para_from_right).
% 1.96/2.12 dependent: clear(para_into_right).
% 1.96/2.12 dependent: set(para_from_vars).
% 1.96/2.12 dependent: set(eq_units_both_ways).
% 1.96/2.12 dependent: set(dynamic_demod_all).
% 1.96/2.12 dependent: set(dynamic_demod).
% 1.96/2.12 dependent: set(order_eq).
% 1.96/2.12 dependent: set(back_demod).
% 1.96/2.12 dependent: set(lrpo).
% 1.96/2.12 dependent: set(hyper_res).
% 1.96/2.12 dependent: set(unit_deletion).
% 1.96/2.12 dependent: set(factor).
% 1.96/2.12
% 1.96/2.12 ------------> process usable:
% 1.96/2.12 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.96/2.12 ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.96/2.12 ** KEPT (pick-wt=4): 3 [] -ordinal(A)|epsilon_transitive(A).
% 1.96/2.12 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_connected(A).
% 1.96/2.12 ** KEPT (pick-wt=8): 5 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.96/2.12 ** KEPT (pick-wt=6): 6 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.96/2.12 ** KEPT (pick-wt=4): 7 [] -empty(A)|epsilon_transitive(A).
% 1.96/2.12 ** KEPT (pick-wt=4): 8 [] -empty(A)|epsilon_connected(A).
% 1.96/2.12 ** KEPT (pick-wt=4): 9 [] -empty(A)|ordinal(A).
% 1.96/2.12 ** KEPT (pick-wt=13): 10 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 1.96/2.12 ** KEPT (pick-wt=10): 11 [] -relation(A)|is_reflexive_in(A,B)|in($f1(A,B),B).
% 1.96/2.12 ** KEPT (pick-wt=14): 12 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f1(A,B),$f1(A,B)),A).
% 1.96/2.12 ** KEPT (pick-wt=13): 13 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|D!=C.
% 1.96/2.12 ** KEPT (pick-wt=15): 14 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|in(ordered_pair(D,C),A).
% 1.96/2.12 ** KEPT (pick-wt=18): 15 [] -relation(A)|B!=fiber(A,C)|in(D,B)|D=C| -in(ordered_pair(D,C),A).
% 1.96/2.12 ** KEPT (pick-wt=19): 16 [] -relation(A)|B=fiber(A,C)|in($f2(A,C,B),B)|$f2(A,C,B)!=C.
% 1.96/2.12 ** KEPT (pick-wt=21): 17 [] -relation(A)|B=fiber(A,C)|in($f2(A,C,B),B)|in(ordered_pair($f2(A,C,B),C),A).
% 1.96/2.12 ** KEPT (pick-wt=27): 18 [] -relation(A)|B=fiber(A,C)| -in($f2(A,C,B),B)|$f2(A,C,B)=C| -in(ordered_pair($f2(A,C,B),C),A).
% 1.96/2.12 ** KEPT (pick-wt=17): 19 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f3(A,B,C),C).
% 1.96/2.12 ** KEPT (pick-wt=19): 20 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f3(A,B,C)),C).
% 1.96/2.12 ** KEPT (pick-wt=10): 21 [] -relation(A)|is_well_founded_in(A,B)|subset($f4(A,B),B).
% 1.96/2.12 ** KEPT (pick-wt=10): 22 [] -relation(A)|is_well_founded_in(A,B)|$f4(A,B)!=empty_set.
% 1.96/2.12 ** KEPT (pick-wt=17): 23 [] -relation(A)|is_well_founded_in(A,B)| -in(C,$f4(A,B))| -disjoint(fiber(A,C),$f4(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=11): 24 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 1.96/2.12 ** KEPT (pick-wt=11): 25 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 1.96/2.12 ** KEPT (pick-wt=14): 26 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 1.96/2.12 ** KEPT (pick-wt=23): 27 [] A=set_intersection2(B,C)| -in($f5(B,C,A),A)| -in($f5(B,C,A),B)| -in($f5(B,C,A),C).
% 1.96/2.12 ** KEPT (pick-wt=24): 28 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 1.96/2.12 ** KEPT (pick-wt=10): 29 [] -relation(A)|is_antisymmetric_in(A,B)|in($f7(A,B),B).
% 1.96/2.12 ** KEPT (pick-wt=10): 30 [] -relation(A)|is_antisymmetric_in(A,B)|in($f6(A,B),B).
% 1.96/2.12 ** KEPT (pick-wt=14): 31 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f7(A,B),$f6(A,B)),A).
% 1.96/2.12 ** KEPT (pick-wt=14): 32 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f6(A,B),$f7(A,B)),A).
% 1.96/2.12 ** KEPT (pick-wt=12): 33 [] -relation(A)|is_antisymmetric_in(A,B)|$f7(A,B)!=$f6(A,B).
% 1.96/2.12 ** KEPT (pick-wt=13): 34 [] A!=union(B)| -in(C,A)|in(C,$f8(B,A,C)).
% 1.96/2.12 ** KEPT (pick-wt=13): 35 [] A!=union(B)| -in(C,A)|in($f8(B,A,C),B).
% 1.96/2.12 ** KEPT (pick-wt=13): 36 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 1.96/2.12 ** KEPT (pick-wt=17): 37 [] A=union(B)| -in($f10(B,A),A)| -in($f10(B,A),C)| -in(C,B).
% 1.96/2.12 ** KEPT (pick-wt=8): 38 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 1.96/2.12 ** KEPT (pick-wt=8): 39 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 1.96/2.12 ** KEPT (pick-wt=8): 40 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 1.96/2.12 ** KEPT (pick-wt=8): 41 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 1.96/2.12 ** KEPT (pick-wt=8): 42 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 1.96/2.12 ** KEPT (pick-wt=20): 43 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 1.96/2.12 ** KEPT (pick-wt=24): 44 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 1.96/2.12 ** KEPT (pick-wt=10): 45 [] -relation(A)|is_connected_in(A,B)|in($f12(A,B),B).
% 1.96/2.12 ** KEPT (pick-wt=10): 46 [] -relation(A)|is_connected_in(A,B)|in($f11(A,B),B).
% 1.96/2.12 ** KEPT (pick-wt=12): 47 [] -relation(A)|is_connected_in(A,B)|$f12(A,B)!=$f11(A,B).
% 1.96/2.12 ** KEPT (pick-wt=14): 48 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f12(A,B),$f11(A,B)),A).
% 1.96/2.12 ** KEPT (pick-wt=14): 49 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f11(A,B),$f12(A,B)),A).
% 1.96/2.12 ** KEPT (pick-wt=8): 50 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 1.96/2.12 ** KEPT (pick-wt=8): 51 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 1.96/2.12 ** KEPT (pick-wt=4): 52 [] -empty(ordered_pair(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=5): 53 [] -ordinal(A)|epsilon_transitive(union(A)).
% 1.96/2.12 ** KEPT (pick-wt=5): 54 [] -ordinal(A)|epsilon_connected(union(A)).
% 1.96/2.12 ** KEPT (pick-wt=5): 55 [] -ordinal(A)|ordinal(union(A)).
% 1.96/2.12 ** KEPT (pick-wt=2): 56 [] -empty($c6).
% 1.96/2.12 ** KEPT (pick-wt=2): 57 [] -empty($c8).
% 1.96/2.12 ** KEPT (pick-wt=18): 58 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=18): 59 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=20): 60 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.12 ** KEPT (pick-wt=23): 62 [copy,61,flip.6] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)| -in(C,A)|$f21(A,B,C)=C.
% 1.96/2.12 ** KEPT (pick-wt=27): 63 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)| -in(C,A)|in(apply($f22(A,B),C),$f21(A,B,C)).
% 1.96/2.12 ** KEPT (pick-wt=32): 64 [] empty(A)| -relation(B)|in($f18(A,B),A)|in($f20(A,B),A)| -in(C,A)| -in(D,$f21(A,B,C))|in(ordered_pair(apply($f22(A,B),C),D),B).
% 1.96/2.12 ** KEPT (pick-wt=28): 65 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation($f22(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=28): 66 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|function($f22(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=30): 67 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation_dom($f22(A,B))=A.
% 1.96/2.12 ** KEPT (pick-wt=33): 69 [copy,68,flip.8] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.12 ** KEPT (pick-wt=37): 70 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.12 ** KEPT (pick-wt=42): 71 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.12 ** KEPT (pick-wt=30): 72 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation($f22(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=30): 73 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|function($f22(A,B)).
% 1.96/2.12 ** KEPT (pick-wt=32): 74 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=35): 76 [copy,75,flip.8] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.13 ** KEPT (pick-wt=39): 77 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.13 ** KEPT (pick-wt=44): 78 [] empty(A)| -relation(B)|in($f18(A,B),A)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.13 ** KEPT (pick-wt=20): 79 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=20): 80 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=22): 81 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=25): 83 [copy,82,flip.6] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)| -in(C,A)|$f21(A,B,C)=C.
% 1.96/2.13 ** KEPT (pick-wt=29): 84 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)| -in(C,A)|in(apply($f22(A,B),C),$f21(A,B,C)).
% 1.96/2.13 ** KEPT (pick-wt=34): 85 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|in($f20(A,B),A)| -in(C,A)| -in(D,$f21(A,B,C))|in(ordered_pair(apply($f22(A,B),C),D),B).
% 1.96/2.13 ** KEPT (pick-wt=30): 86 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=30): 87 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=32): 88 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=35): 90 [copy,89,flip.8] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.13 ** KEPT (pick-wt=39): 91 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.13 ** KEPT (pick-wt=44): 92 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.13 ** KEPT (pick-wt=32): 93 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=32): 94 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=34): 95 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=37): 97 [copy,96,flip.8] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.13 ** KEPT (pick-wt=41): 98 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.13 ** KEPT (pick-wt=46): 99 [] empty(A)| -relation(B)|$f18(A,B)=$f14(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.13 ** KEPT (pick-wt=20): 100 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=20): 101 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=22): 102 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=25): 104 [copy,103,flip.6] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)| -in(C,A)|$f21(A,B,C)=C.
% 1.96/2.13 ** KEPT (pick-wt=29): 105 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)| -in(C,A)|in(apply($f22(A,B),C),$f21(A,B,C)).
% 1.96/2.13 ** KEPT (pick-wt=34): 106 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|in($f20(A,B),A)| -in(C,A)| -in(D,$f21(A,B,C))|in(ordered_pair(apply($f22(A,B),C),D),B).
% 1.96/2.13 ** KEPT (pick-wt=30): 107 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=30): 108 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=32): 109 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=35): 111 [copy,110,flip.8] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.13 ** KEPT (pick-wt=39): 112 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.13 ** KEPT (pick-wt=44): 113 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.13 ** KEPT (pick-wt=32): 114 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=32): 115 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=34): 116 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=37): 118 [copy,117,flip.8] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.13 ** KEPT (pick-wt=41): 119 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.13 ** KEPT (pick-wt=46): 120 [] empty(A)| -relation(B)|in($f17(A,B),$f14(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.13 ** KEPT (pick-wt=25): 121 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=25): 122 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=27): 123 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=30): 125 [copy,124,flip.7] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|in($f20(A,B),A)| -in(D,A)|$f21(A,B,D)=D.
% 1.96/2.13 ** KEPT (pick-wt=34): 126 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|in($f20(A,B),A)| -in(D,A)|in(apply($f22(A,B),D),$f21(A,B,D)).
% 1.96/2.13 ** KEPT (pick-wt=39): 127 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|in($f20(A,B),A)| -in(D,A)| -in(E,$f21(A,B,D))|in(ordered_pair(apply($f22(A,B),D),E),B).
% 1.96/2.13 ** KEPT (pick-wt=35): 128 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)|relation($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=35): 129 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)|function($f22(A,B)).
% 1.96/2.13 ** KEPT (pick-wt=37): 130 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)|relation_dom($f22(A,B))=A.
% 1.96/2.13 ** KEPT (pick-wt=40): 132 [copy,131,flip.9] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)| -in(F,A)|$f21(A,B,F)=F.
% 1.96/2.13 ** KEPT (pick-wt=44): 133 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)| -in(F,A)|in(apply($f22(A,B),F),$f21(A,B,F)).
% 1.96/2.13 ** KEPT (pick-wt=49): 134 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)| -in(F,A)| -in(G,$f21(A,B,F))|in(ordered_pair(apply($f22(A,B),F),G),B).
% 1.96/2.13 ** KEPT (pick-wt=37): 135 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)|relation($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=37): 136 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)|function($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=39): 137 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.14 ** KEPT (pick-wt=42): 139 [copy,138,flip.9] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)| -in(F,A)|$f21(A,B,F)=F.
% 1.96/2.14 ** KEPT (pick-wt=46): 140 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)| -in(F,A)|in(apply($f22(A,B),F),$f21(A,B,F)).
% 1.96/2.14 ** KEPT (pick-wt=51): 141 [] empty(A)| -relation(B)| -in(C,$f14(A,B))|in(ordered_pair($f17(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)| -in(F,A)| -in(G,$f21(A,B,F))|in(ordered_pair(apply($f22(A,B),F),G),B).
% 1.96/2.14 ** KEPT (pick-wt=20): 142 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=20): 143 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=22): 144 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.14 ** KEPT (pick-wt=25): 146 [copy,145,flip.6] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)| -in(C,A)|$f21(A,B,C)=C.
% 1.96/2.14 ** KEPT (pick-wt=29): 147 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)| -in(C,A)|in(apply($f22(A,B),C),$f21(A,B,C)).
% 1.96/2.14 ** KEPT (pick-wt=34): 148 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|in($f20(A,B),A)| -in(C,A)| -in(D,$f21(A,B,C))|in(ordered_pair(apply($f22(A,B),C),D),B).
% 1.96/2.14 ** KEPT (pick-wt=30): 149 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=30): 150 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|function($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=32): 151 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation_dom($f22(A,B))=A.
% 1.96/2.14 ** KEPT (pick-wt=35): 153 [copy,152,flip.8] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.14 ** KEPT (pick-wt=39): 154 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.14 ** KEPT (pick-wt=44): 155 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.14 ** KEPT (pick-wt=32): 156 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=32): 157 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|function($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=34): 158 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.14 ** KEPT (pick-wt=37): 160 [copy,159,flip.8] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.14 ** KEPT (pick-wt=41): 161 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.14 ** KEPT (pick-wt=46): 162 [] empty(A)| -relation(B)|$f18(A,B)=$f15(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.14 ** KEPT (pick-wt=20): 163 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=20): 164 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.14 ** KEPT (pick-wt=22): 165 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.15 ** KEPT (pick-wt=25): 167 [copy,166,flip.6] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)| -in(C,A)|$f21(A,B,C)=C.
% 1.96/2.15 ** KEPT (pick-wt=29): 168 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)| -in(C,A)|in(apply($f22(A,B),C),$f21(A,B,C)).
% 1.96/2.15 ** KEPT (pick-wt=34): 169 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|in($f20(A,B),A)| -in(C,A)| -in(D,$f21(A,B,C))|in(ordered_pair(apply($f22(A,B),C),D),B).
% 1.96/2.15 ** KEPT (pick-wt=30): 170 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=30): 171 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|function($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=32): 172 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation_dom($f22(A,B))=A.
% 1.96/2.15 ** KEPT (pick-wt=35): 174 [copy,173,flip.8] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.15 ** KEPT (pick-wt=39): 175 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.15 ** KEPT (pick-wt=44): 176 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.15 ** KEPT (pick-wt=32): 177 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=32): 178 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|function($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=34): 179 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation_dom($f22(A,B))=A.
% 1.96/2.15 ** KEPT (pick-wt=37): 181 [copy,180,flip.8] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|$f21(A,B,E)=E.
% 1.96/2.15 ** KEPT (pick-wt=41): 182 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 1.96/2.15 ** KEPT (pick-wt=46): 183 [] empty(A)| -relation(B)|in($f16(A,B),$f15(A,B))|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 1.96/2.15 ** KEPT (pick-wt=25): 184 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|in($f20(A,B),A)|relation($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=25): 185 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|in($f20(A,B),A)|function($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=27): 186 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 1.96/2.15 ** KEPT (pick-wt=30): 188 [copy,187,flip.7] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|in($f20(A,B),A)| -in(D,A)|$f21(A,B,D)=D.
% 1.96/2.15 ** KEPT (pick-wt=34): 189 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|in($f20(A,B),A)| -in(D,A)|in(apply($f22(A,B),D),$f21(A,B,D)).
% 1.96/2.15 ** KEPT (pick-wt=39): 190 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|in($f20(A,B),A)| -in(D,A)| -in(E,$f21(A,B,D))|in(ordered_pair(apply($f22(A,B),D),E),B).
% 1.96/2.15 ** KEPT (pick-wt=35): 191 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)|relation($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=35): 192 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)|function($f22(A,B)).
% 1.96/2.15 ** KEPT (pick-wt=37): 193 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)|relation_dom($f22(A,B))=A.
% 1.96/2.15 ** KEPT (pick-wt=40): 195 [copy,194,flip.9] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)| -in(F,A)|$f21(A,B,F)=F.
% 1.96/2.15 ** KEPT (pick-wt=44): 196 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)| -in(F,A)|in(apply($f22(A,B),F),$f21(A,B,F)).
% 2.00/2.22 ** KEPT (pick-wt=49): 197 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)|in($f19(A,B,E,D),D)| -in(F,A)| -in(G,$f21(A,B,F))|in(ordered_pair(apply($f22(A,B),F),G),B).
% 2.00/2.22 ** KEPT (pick-wt=37): 198 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)|relation($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=37): 199 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)|function($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=39): 200 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)|relation_dom($f22(A,B))=A.
% 2.00/2.22 ** KEPT (pick-wt=42): 202 [copy,201,flip.9] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)| -in(F,A)|$f21(A,B,F)=F.
% 2.00/2.22 ** KEPT (pick-wt=46): 203 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)| -in(F,A)|in(apply($f22(A,B),F),$f21(A,B,F)).
% 2.00/2.22 ** KEPT (pick-wt=51): 204 [] empty(A)| -relation(B)| -in(C,$f15(A,B))|in(ordered_pair($f16(A,B),C),B)|$f20(A,B)!=D| -in(E,D)| -in(ordered_pair(E,$f19(A,B,E,D)),B)| -in(F,A)| -in(G,$f21(A,B,F))|in(ordered_pair(apply($f22(A,B),F),G),B).
% 2.00/2.22 ** KEPT (pick-wt=20): 205 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)|relation($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=20): 206 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)|function($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=22): 207 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)|relation_dom($f22(A,B))=A.
% 2.00/2.22 ** KEPT (pick-wt=25): 209 [copy,208,flip.6] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)| -in(C,A)|$f21(A,B,C)=C.
% 2.00/2.22 ** KEPT (pick-wt=29): 210 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)| -in(C,A)|in(apply($f22(A,B),C),$f21(A,B,C)).
% 2.00/2.22 ** KEPT (pick-wt=34): 211 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|in($f20(A,B),A)| -in(C,A)| -in(D,$f21(A,B,C))|in(ordered_pair(apply($f22(A,B),C),D),B).
% 2.00/2.22 ** KEPT (pick-wt=30): 212 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=30): 213 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|function($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=32): 214 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)|relation_dom($f22(A,B))=A.
% 2.00/2.22 ** KEPT (pick-wt=35): 216 [copy,215,flip.8] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|$f21(A,B,E)=E.
% 2.00/2.22 ** KEPT (pick-wt=39): 217 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 2.00/2.22 ** KEPT (pick-wt=44): 218 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)|in($f19(A,B,D,C),C)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 2.00/2.22 ** KEPT (pick-wt=32): 219 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=32): 220 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|function($f22(A,B)).
% 2.00/2.22 ** KEPT (pick-wt=34): 221 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)|relation_dom($f22(A,B))=A.
% 2.00/2.22 ** KEPT (pick-wt=37): 223 [copy,222,flip.8] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|$f21(A,B,E)=E.
% 2.00/2.22 ** KEPT (pick-wt=41): 224 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)|in(apply($f22(A,B),E),$f21(A,B,E)).
% 2.00/2.22 ** KEPT (pick-wt=46): 225 [] empty(A)| -relation(B)|$f17(A,B)!=$f16(A,B)|$f20(A,B)!=C| -in(D,C)| -in(ordered_pair(D,$f19(A,B,D,C)),B)| -in(E,A)| -in(F,$f21(A,B,E))|in(ordered_pair(apply($f22(A,B),E),F),B).
% 2.00/2.22 ** KEPT (pick-wt=6): 226 [] -disjoint(A,B)|disjoint(B,A).
% 2.00/2.22 ** KEPT (pick-wt=6): 227 [] -in(A,B)|element(A,B).
% 2.00/2.22 ** KEPT (pick-wt=2): 228 [] -empty($c10).
% 2.00/2.22 ** KEPT (pick-wt=6): 229 [] -in(A,$c10)|A!=empty_set.
% 2.00/2.22 ** KEPT (pick-wt=12): 230 [] -relation(A)| -function(A)|relation_dom(A)!=$c10|in($f24(A),$c10).
% 2.00/2.22 ** KEPT (pick-wt=15): 231 [] -relation(A)| -function(A)|relation_dom(A)!=$c10| -in(apply(A,$f24(A)),$f24(A)).
% 2.00/2.22 ** KEPT (pick-wt=8): 232 [] -element(A,B)|empty(B)|in(A,B).
% 2.00/2.22 ** KEPT (pick-wt=7): 233 [] -element(A,powerset(B))|subset(A,B).
% 2.00/2.22 ** KEPT (pick-wt=7): 234 [] element(A,powerset(B))| -subset(A,B).
% 2.00/2.22 ** KEPT (pick-wt=10): 235 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.00/2.22 ** KEPT (pick-wt=9): 236 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.00/2.22 ** KEPT (pick-wt=5): 237 [] -empty(A)|A=empty_set.
% 2.00/2.22 ** KEPT (pick-wt=5): 238 [] -in(A,B)| -empty(B).
% 2.00/2.22 ** KEPT (pick-wt=7): 239 [] -empty(A)|A=B| -empty(B).
% 2.00/2.22 ** KEPT (pick-wt=7): 240 [] -in(A,B)|subset(A,union(B)).
% 2.00/2.22
% 2.00/2.22 ------------> process sos:
% 2.00/2.22 ** KEPT (pick-wt=3): 369 [] A=A.
% 2.00/2.22 ** KEPT (pick-wt=7): 370 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.00/2.22 ** KEPT (pick-wt=7): 371 [] set_intersection2(A,B)=set_intersection2(B,A).
% 2.00/2.22 ** KEPT (pick-wt=17): 372 [] A=set_intersection2(B,C)|in($f5(B,C,A),A)|in($f5(B,C,A),B).
% 2.00/2.22 ** KEPT (pick-wt=17): 373 [] A=set_intersection2(B,C)|in($f5(B,C,A),A)|in($f5(B,C,A),C).
% 2.00/2.22 ** KEPT (pick-wt=16): 374 [] A=union(B)|in($f10(B,A),A)|in($f10(B,A),$f9(B,A)).
% 2.00/2.22 ** KEPT (pick-wt=14): 375 [] A=union(B)|in($f10(B,A),A)|in($f9(B,A),B).
% 2.00/2.22 ** KEPT (pick-wt=10): 377 [copy,376,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.00/2.22 ---> New Demodulator: 378 [new_demod,377] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.00/2.22 ** KEPT (pick-wt=4): 379 [] element($f13(A),A).
% 2.00/2.22 ** KEPT (pick-wt=2): 380 [] empty(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=2): 381 [] relation(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=2): 382 [] relation_empty_yielding(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=2): 383 [] function(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=2): 384 [] one_to_one(empty_set).
% 2.00/2.22 Following clause subsumed by 380 during input processing: 0 [] empty(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=2): 385 [] epsilon_transitive(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=2): 386 [] epsilon_connected(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=2): 387 [] ordinal(empty_set).
% 2.00/2.22 ** KEPT (pick-wt=5): 388 [] set_intersection2(A,A)=A.
% 2.00/2.22 ---> New Demodulator: 389 [new_demod,388] set_intersection2(A,A)=A.
% 2.00/2.22 ** KEPT (pick-wt=2): 390 [] relation($c1).
% 2.00/2.22 ** KEPT (pick-wt=2): 391 [] function($c1).
% 2.00/2.22 ** KEPT (pick-wt=2): 392 [] epsilon_transitive($c2).
% 2.00/2.22 ** KEPT (pick-wt=2): 393 [] epsilon_connected($c2).
% 2.00/2.22 ** KEPT (pick-wt=2): 394 [] ordinal($c2).
% 2.00/2.22 ** KEPT (pick-wt=2): 395 [] empty($c3).
% 2.00/2.22 ** KEPT (pick-wt=2): 396 [] relation($c4).
% 2.00/2.22 ** KEPT (pick-wt=2): 397 [] empty($c4).
% 2.00/2.22 ** KEPT (pick-wt=2): 398 [] function($c4).
% 2.00/2.22 ** KEPT (pick-wt=2): 399 [] relation($c5).
% 2.00/2.22 ** KEPT (pick-wt=2): 400 [] function($c5).
% 2.00/2.22 ** KEPT (pick-wt=2): 401 [] one_to_one($c5).
% 2.00/2.22 ** KEPT (pick-wt=2): 402 [] empty($c5).
% 2.00/2.22 ** KEPT (pick-wt=2): 403 [] epsilon_transitive($c5).
% 2.00/2.22 ** KEPT (pick-wt=2): 404 [] epsilon_connected($c5).
% 2.00/2.22 ** KEPT (pick-wt=2): 405 [] ordinal($c5).
% 2.00/2.22 ** KEPT (pick-wt=2): 406 [] relation($c7).
% 2.00/2.22 ** KEPT (pick-wt=2): 407 [] function($c7).
% 2.00/2.22 ** KEPT (pick-wt=2): 408 [] one_to_one($c7).
% 2.00/2.22 ** KEPT (pick-wt=2): 409 [] epsilon_transitive($c8).
% 2.00/2.22 ** KEPT (pick-wt=2): 410 [] epsilon_connected($c8).
% 2.00/2.22 ** KEPT (pick-wt=2): 411 [] ordinal($c8).
% 2.00/2.22 ** KEPT (pick-wt=2): 412 [] relation($c9).
% 2.00/2.22 ** KEPT (pick-wt=2): 413 [] relation_empty_yielding($c9).
% 2.00/2.22 ** KEPT (pick-wt=2): 414 [] function($c9).
% 2.00/2.22 ** KEPT (pick-wt=3): 415 [] subset(A,A).
% 2.00/2.22 ** KEPT (pick-wt=3): 416 [] relation($f23(A)).
% 2.00/2.22 ** KEPT (pick-wt=4): 417 [] well_orders($f23(A),A).
% 2.00/2.22 ** KEPT (pick-wt=5): 418 [] set_intersection2(A,empty_set)=empty_set.
% 2.00/2.22 ---> New Demodulator: 419 [new_demod,418] set_intersection2(A,empty_set)=empty_set.
% 2.00/2.22 Following clause subsumed by 369 during input processing: 0 [copy,369,flip.1] A=A.
% 222.57/222.74 369 back subsumes 361.
% 222.57/222.74 369 back subsumes 248.
% 222.57/222.74 369 back subsumes 246.
% 222.57/222.74 Following clause subsumed by 370 during input processing: 0 [copy,370,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 222.57/222.74 Following clause subsumed by 371 during input processing: 0 [copy,371,flip.1] set_intersection2(A,B)=set_intersection2(B,A).
% 222.57/222.74 >>>> Starting back demodulation with 378.
% 222.57/222.74 >>>> Starting back demodulation with 389.
% 222.57/222.74 >> back demodulating 362 with 389.
% 222.57/222.74 >> back demodulating 245 with 389.
% 222.57/222.74 >> back demodulating 242 with 389.
% 222.57/222.74 >>>> Starting back demodulation with 419.
% 222.57/222.74
% 222.57/222.74 ======= end of input processing =======
% 222.57/222.74
% 222.57/222.74 =========== start of search ===========
% 222.57/222.74
% 222.57/222.74
% 222.57/222.74 Resetting weight limit to 2.
% 222.57/222.74
% 222.57/222.74
% 222.57/222.74 Resetting weight limit to 2.
% 222.57/222.74
% 222.57/222.74 sos_size=228
% 222.57/222.74
% 222.57/222.74 Search stopped because sos empty.
% 222.57/222.74
% 222.57/222.74
% 222.57/222.74 Search stopped because sos empty.
% 222.57/222.74
% 222.57/222.74 ============ end of search ============
% 222.57/222.74
% 222.57/222.74 -------------- statistics -------------
% 222.57/222.74 clauses given 254
% 222.57/222.74 clauses generated 1284095
% 222.57/222.74 clauses kept 598
% 222.57/222.74 clauses forward subsumed 221
% 222.57/222.74 clauses back subsumed 4
% 222.57/222.74 Kbytes malloced 5859
% 222.57/222.74
% 222.57/222.74 ----------- times (seconds) -----------
% 222.57/222.74 user CPU time 220.64 (0 hr, 3 min, 40 sec)
% 222.57/222.74 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 222.57/222.74 wall-clock time 222 (0 hr, 3 min, 42 sec)
% 222.57/222.74
% 222.57/222.74 Process 26473 finished Wed Jul 27 07:56:05 2022
% 222.57/222.74 Otter interrupted
% 222.57/222.74 PROOF NOT FOUND
%------------------------------------------------------------------------------