TSTP Solution File: SEU242+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU242+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:15:19 EDT 2022
% Result : Unknown 38.28s 38.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU242+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.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 08:01:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.69/3.86 ----- Otter 3.3f, August 2004 -----
% 3.69/3.86 The process was started by sandbox2 on n012.cluster.edu,
% 3.69/3.86 Wed Jul 27 08:01:20 2022
% 3.69/3.86 The command was "./otter". The process ID is 30570.
% 3.69/3.86
% 3.69/3.86 set(prolog_style_variables).
% 3.69/3.86 set(auto).
% 3.69/3.86 dependent: set(auto1).
% 3.69/3.86 dependent: set(process_input).
% 3.69/3.86 dependent: clear(print_kept).
% 3.69/3.86 dependent: clear(print_new_demod).
% 3.69/3.86 dependent: clear(print_back_demod).
% 3.69/3.86 dependent: clear(print_back_sub).
% 3.69/3.86 dependent: set(control_memory).
% 3.69/3.86 dependent: assign(max_mem, 12000).
% 3.69/3.86 dependent: assign(pick_given_ratio, 4).
% 3.69/3.86 dependent: assign(stats_level, 1).
% 3.69/3.86 dependent: assign(max_seconds, 10800).
% 3.69/3.86 clear(print_given).
% 3.69/3.86
% 3.69/3.86 formula_list(usable).
% 3.69/3.86 all A (A=A).
% 3.69/3.86 all A B (in(A,B)-> -in(B,A)).
% 3.69/3.86 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 3.69/3.86 all A (empty(A)->function(A)).
% 3.69/3.86 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 3.69/3.86 all A (empty(A)->relation(A)).
% 3.69/3.86 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 3.69/3.86 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 3.69/3.86 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.69/3.86 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 3.69/3.86 all A B (set_union2(A,B)=set_union2(B,A)).
% 3.69/3.86 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 3.69/3.86 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,B)|ordinal_subset(B,A)).
% 3.69/3.86 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 3.69/3.86 all A B (A=B<->subset(A,B)&subset(B,A)).
% 3.69/3.86 all A (relation(A)-> (all B C (relation(C)-> (C=relation_dom_restriction(A,B)<-> (all D E (in(ordered_pair(D,E),C)<->in(D,B)&in(ordered_pair(D,E),A))))))).
% 3.69/3.86 all A (relation(A)&function(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(E,relation_dom(A))&in(E,B)&D=apply(A,E)))))))).
% 3.69/3.86 all A B (relation(B)-> (all C (relation(C)-> (C=relation_rng_restriction(A,B)<-> (all D E (in(ordered_pair(D,E),C)<->in(E,A)&in(ordered_pair(D,E),B))))))).
% 3.69/3.86 all A (relation(A)-> (antisymmetric(A)<->is_antisymmetric_in(A,relation_field(A)))).
% 3.69/3.86 all A (relation(A)&function(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<->in(D,relation_dom(A))&in(apply(A,D),B)))))).
% 3.69/3.86 all A (relation(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(ordered_pair(E,D),A)&in(E,B)))))))).
% 3.69/3.86 all A (relation(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(ordered_pair(D,E),A)&in(E,B)))))))).
% 3.69/3.86 all A (relation(A)-> (connected(A)<->is_connected_in(A,relation_field(A)))).
% 3.69/3.86 all A (relation(A)-> (transitive(A)<->is_transitive_in(A,relation_field(A)))).
% 3.69/3.86 all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 3.69/3.86 all A (succ(A)=set_union2(A,singleton(A))).
% 3.69/3.86 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 3.69/3.86 all A (relation(A)-> (all B (is_reflexive_in(A,B)<-> (all C (in(C,B)->in(ordered_pair(C,C),A)))))).
% 3.69/3.86 all A B ((A!=empty_set-> (B=set_meet(A)<-> (all C (in(C,B)<-> (all D (in(D,A)->in(C,D)))))))& (A=empty_set-> (B=set_meet(A)<->B=empty_set))).
% 3.69/3.86 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 3.69/3.86 all A (A=empty_set<-> (all B (-in(B,A)))).
% 3.69/3.86 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 3.69/3.86 all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 3.69/3.86 all A (relation(A)-> (all B (relation(B)-> (A=B<-> (all C D (in(ordered_pair(C,D),A)<->in(ordered_pair(C,D),B))))))).
% 3.69/3.86 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 3.69/3.86 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 3.69/3.86 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 3.69/3.86 all A B C (C=cartesian_product2(A,B)<-> (all D (in(D,C)<-> (exists E F (in(E,A)&in(F,B)&D=ordered_pair(E,F)))))).
% 3.69/3.86 all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 3.69/3.86 all A (relation(A)-> (all B (relation(B)-> (subset(A,B)<-> (all C D (in(ordered_pair(C,D),A)->in(ordered_pair(C,D),B))))))).
% 3.69/3.86 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 3.69/3.86 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 3.69/3.86 all A (relation(A)&function(A)-> (all B C ((in(B,relation_dom(A))-> (C=apply(A,B)<->in(ordered_pair(B,C),A)))& (-in(B,relation_dom(A))-> (C=apply(A,B)<->C=empty_set))))).
% 3.69/3.86 all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 3.69/3.86 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 3.69/3.86 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))))).
% 3.69/3.86 all A (cast_to_subset(A)=A).
% 3.69/3.86 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 3.69/3.86 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 3.69/3.86 all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 3.69/3.86 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 3.69/3.86 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 3.69/3.86 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 3.69/3.86 all A (being_limit_ordinal(A)<->A=union(A)).
% 3.69/3.86 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 3.69/3.86 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))))))).
% 3.69/3.86 all A (relation(A)-> (all B (relation(B)-> (B=relation_inverse(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(ordered_pair(D,C),A))))))).
% 3.69/3.86 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 3.69/3.86 all A (relation(A)&function(A)-> (one_to_one(A)<-> (all B C (in(B,relation_dom(A))&in(C,relation_dom(A))&apply(A,B)=apply(A,C)->B=C)))).
% 3.69/3.86 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)-> (C=relation_composition(A,B)<-> (all D E (in(ordered_pair(D,E),C)<-> (exists F (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B))))))))))).
% 3.69/3.86 all A (relation(A)-> (all B (is_transitive_in(A,B)<-> (all C D E (in(C,B)&in(D,B)&in(E,B)&in(ordered_pair(C,D),A)&in(ordered_pair(D,E),A)->in(ordered_pair(C,E),A)))))).
% 3.69/3.86 all A B (element(B,powerset(powerset(A)))-> (all C (element(C,powerset(powerset(A)))-> (C=complements_of_subsets(A,B)<-> (all D (element(D,powerset(A))-> (in(D,C)<->in(subset_complement(A,D),B)))))))).
% 3.69/3.86 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 3.69/3.86 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 3.69/3.86 all A (relation(A)-> (reflexive(A)<->is_reflexive_in(A,relation_field(A)))).
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 3.69/3.86 $T.
% 3.69/3.86 all A element(cast_to_subset(A),powerset(A)).
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 all A (relation(A)->relation(relation_inverse(A))).
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 3.69/3.86 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 3.69/3.86 all A relation(identity_relation(A)).
% 3.69/3.86 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 3.69/3.86 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 3.69/3.86 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 3.69/3.86 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 3.69/3.86 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 3.69/3.86 $T.
% 3.69/3.86 $T.
% 3.69/3.86 all A exists B element(B,A).
% 3.69/3.86 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 3.69/3.86 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 3.69/3.86 empty(empty_set).
% 3.69/3.86 relation(empty_set).
% 3.69/3.86 relation_empty_yielding(empty_set).
% 3.69/3.86 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 3.69/3.86 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 3.69/3.86 all A (-empty(succ(A))).
% 3.69/3.86 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 3.69/3.86 all A (-empty(powerset(A))).
% 3.69/3.86 empty(empty_set).
% 3.69/3.86 all A B (-empty(ordered_pair(A,B))).
% 3.69/3.86 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 3.69/3.86 relation(empty_set).
% 3.69/3.86 relation_empty_yielding(empty_set).
% 3.69/3.86 function(empty_set).
% 3.69/3.86 one_to_one(empty_set).
% 3.69/3.86 empty(empty_set).
% 3.69/3.86 epsilon_transitive(empty_set).
% 3.69/3.86 epsilon_connected(empty_set).
% 3.69/3.86 ordinal(empty_set).
% 3.69/3.86 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 3.69/3.86 all A (-empty(singleton(A))).
% 3.69/3.86 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 3.69/3.86 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 3.69/3.86 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 3.69/3.86 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 3.69/3.86 all A B (-empty(unordered_pair(A,B))).
% 3.69/3.86 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 3.69/3.86 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 3.69/3.86 all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 3.69/3.86 empty(empty_set).
% 3.69/3.86 relation(empty_set).
% 3.69/3.86 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.69/3.86 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 3.69/3.86 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 3.69/3.86 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 3.69/3.86 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 3.69/3.86 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 3.69/3.86 all A B (set_union2(A,A)=A).
% 3.69/3.86 all A B (set_intersection2(A,A)=A).
% 3.69/3.86 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 3.69/3.86 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 3.69/3.86 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 3.69/3.86 all A B (-proper_subset(A,A)).
% 3.69/3.86 all A (relation(A)-> (reflexive(A)<-> (all B (in(B,relation_field(A))->in(ordered_pair(B,B),A))))).
% 3.69/3.86 all A (singleton(A)!=empty_set).
% 3.69/3.86 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.69/3.86 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 3.69/3.86 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 3.69/3.86 all A (relation(A)-> (transitive(A)<-> (all B C D (in(ordered_pair(B,C),A)&in(ordered_pair(C,D),A)->in(ordered_pair(B,D),A))))).
% 3.69/3.86 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.69/3.86 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.69/3.86 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 3.69/3.86 all A (relation(A)-> (antisymmetric(A)<-> (all B C (in(ordered_pair(B,C),A)&in(ordered_pair(C,B),A)->B=C)))).
% 3.69/3.86 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 3.69/3.86 -(all A (relation(A)-> (connected(A)<-> (all B C (-(in(B,relation_field(A))&in(C,relation_field(A))&B!=C& -in(ordered_pair(B,C),A)& -in(ordered_pair(C,B),A))))))).
% 3.69/3.86 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.69/3.86 all A B (in(A,B)->subset(A,union(B))).
% 3.69/3.86 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.69/3.86 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 3.69/3.86 all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))<->in(B,relation_dom(C))&in(B,A))).
% 3.69/3.86 exists A (relation(A)&function(A)).
% 3.69/3.86 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.69/3.86 exists A (empty(A)&relation(A)).
% 3.69/3.86 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.69/3.86 exists A empty(A).
% 3.69/3.86 exists A (relation(A)&empty(A)&function(A)).
% 3.69/3.86 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.69/3.86 exists A (-empty(A)&relation(A)).
% 3.69/3.86 all A exists B (element(B,powerset(A))&empty(B)).
% 3.69/3.86 exists A (-empty(A)).
% 3.69/3.86 exists A (relation(A)&function(A)&one_to_one(A)).
% 3.69/3.86 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.69/3.86 exists A (relation(A)&relation_empty_yielding(A)).
% 3.69/3.86 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 3.69/3.86 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 3.69/3.86 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 3.69/3.86 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 3.69/3.86 all A B (ordinal(A)&ordinal(B)-> (ordinal_subset(A,B)<->subset(A,B))).
% 3.69/3.86 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,A)).
% 3.69/3.86 all A B subset(A,A).
% 3.69/3.86 all A B (disjoint(A,B)->disjoint(B,A)).
% 3.69/3.86 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.69/3.86 all A in(A,succ(A)).
% 3.69/3.86 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 3.69/3.86 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 3.69/3.86 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 3.69/3.86 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 3.69/3.86 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 3.69/3.86 all A B C (subset(A,B)->subset(cartesian_product2(A,C),cartesian_product2(B,C))&subset(cartesian_product2(C,A),cartesian_product2(C,B))).
% 3.69/3.86 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 3.69/3.86 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 3.69/3.86 all A B (subset(A,B)->set_union2(A,B)=B).
% 3.69/3.86 all A exists B (in(A,B)& (all C D (in(C,B)&subset(D,C)->in(D,B)))& (all C (in(C,B)->in(powerset(C),B)))& (all C (-(subset(C,B)& -are_e_quipotent(C,B)& -in(C,B))))).
% 3.69/3.86 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 3.69/3.86 all A B C (relation(C)-> (in(A,relation_image(C,B))<-> (exists D (in(D,relation_dom(C))&in(ordered_pair(D,A),C)&in(D,B))))).
% 3.69/3.86 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 3.69/3.86 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 3.69/3.86 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 3.69/3.86 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 3.69/3.86 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 3.69/3.86 all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 3.69/3.86 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 3.69/3.86 all A B C (relation(C)-> (in(A,relation_inverse_image(C,B))<-> (exists D (in(D,relation_rng(C))&in(ordered_pair(A,D),C)&in(D,B))))).
% 3.69/3.86 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 3.69/3.86 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 3.69/3.86 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 3.69/3.86 all A B subset(set_intersection2(A,B),A).
% 3.69/3.86 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 3.69/3.86 all A (set_union2(A,empty_set)=A).
% 3.69/3.86 all A B (in(A,B)->element(A,B)).
% 3.69/3.86 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 3.69/3.86 powerset(empty_set)=singleton(empty_set).
% 3.69/3.86 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 3.69/3.86 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))<->in(A,relation_dom(C))&in(apply(C,A),relation_dom(B)))))).
% 3.69/3.86 all A (epsilon_transitive(A)-> (all B (ordinal(B)-> (proper_subset(A,B)->in(A,B))))).
% 3.69/3.86 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 3.69/3.86 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))->apply(relation_composition(C,B),A)=apply(B,apply(C,A)))))).
% 3.69/3.86 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(B))->apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))).
% 3.69/3.86 all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 3.69/3.86 all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 3.69/3.86 all A (relation(A)-> (all B (relation(B)-> (subset(A,B)->subset(relation_dom(A),relation_dom(B))&subset(relation_rng(A),relation_rng(B)))))).
% 3.69/3.86 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 3.69/3.86 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 3.69/3.86 all A (set_intersection2(A,empty_set)=empty_set).
% 3.69/3.86 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.69/3.87 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.69/3.87 all A subset(empty_set,A).
% 3.69/3.87 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 3.69/3.87 all A ((all B (in(B,A)->ordinal(B)&subset(B,A)))->ordinal(A)).
% 3.69/3.87 all A B (ordinal(B)-> -(subset(A,B)&A!=empty_set& (all C (ordinal(C)-> -(in(C,A)& (all D (ordinal(D)-> (in(D,A)->ordinal_subset(C,D))))))))).
% 3.69/3.87 all A (ordinal(A)-> (all B (ordinal(B)-> (in(A,B)<->ordinal_subset(succ(A),B))))).
% 3.69/3.87 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 3.69/3.87 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 3.69/3.87 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 3.69/3.87 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 3.69/3.87 all A B subset(set_difference(A,B),A).
% 3.69/3.87 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 3.69/3.87 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.69/3.87 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.69/3.87 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 3.69/3.87 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 3.69/3.87 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.69/3.87 all A (set_difference(A,empty_set)=A).
% 3.69/3.87 all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 3.69/3.87 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.69/3.87 all A B (-(-disjoint(A,B)& (all C (-(in(C,A)&in(C,B)))))& -((exists C (in(C,A)&in(C,B)))&disjoint(A,B))).
% 3.69/3.87 all A (subset(A,empty_set)->A=empty_set).
% 3.69/3.87 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 3.69/3.87 all A (ordinal(A)-> (being_limit_ordinal(A)<-> (all B (ordinal(B)-> (in(B,A)->in(succ(B),A)))))).
% 3.69/3.87 all A (ordinal(A)-> -(-being_limit_ordinal(A)& (all B (ordinal(B)->A!=succ(B))))& -((exists B (ordinal(B)&A=succ(B)))&being_limit_ordinal(A))).
% 3.69/3.87 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 3.69/3.87 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 3.69/3.87 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 3.69/3.87 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 3.69/3.87 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 3.69/3.87 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 3.69/3.87 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.69/3.87 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 3.69/3.87 all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)))).
% 3.69/3.87 all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)))).
% 3.69/3.87 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 3.69/3.87 all A (set_difference(empty_set,A)=empty_set).
% 3.69/3.87 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.69/3.87 all A B (-(-disjoint(A,B)& (all C (-in(C,set_intersection2(A,B)))))& -((exists C in(C,set_intersection2(A,B)))&disjoint(A,B))).
% 3.69/3.87 all A (A!=empty_set-> (all B (element(B,powerset(A))-> (all C (element(C,A)-> (-in(C,B)->in(C,subset_complement(A,B)))))))).
% 3.69/3.87 all A (relation(A)&function(A)-> (one_to_one(A)-> (all B (relation(B)&function(B)-> (B=function_inverse(A)<->relation_dom(B)=relation_rng(A)& (all C D ((in(C,relation_rng(A))&D=apply(B,C)->in(D,relation_dom(A))&C=apply(A,D))& (in(D,relation_dom(A))&C=apply(A,D)->in(C,relation_rng(A))&D=apply(B,C))))))))).
% 3.69/3.87 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 3.69/3.87 all A (relation(A)&function(A)-> (one_to_one(A)->relation_rng(A)=relation_dom(function_inverse(A))&relation_dom(A)=relation_rng(function_inverse(A)))).
% 3.69/3.87 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 3.69/3.87 all A B (relation(B)&function(B)-> (one_to_one(B)&in(A,relation_rng(B))->A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A))).
% 3.69/3.87 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.69/3.87 relation_dom(empty_set)=empty_set.
% 3.69/3.87 relation_rng(empty_set)=empty_set.
% 3.69/3.87 all A B (-(subset(A,B)&proper_subset(B,A))).
% 3.69/3.87 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 3.69/3.87 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 3.69/3.87 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 3.69/3.87 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 3.69/3.87 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 3.69/3.87 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (B=relation_dom_restriction(C,A)<->relation_dom(B)=set_intersection2(relation_dom(C),A)& (all D (in(D,relation_dom(B))->apply(B,D)=apply(C,D))))))).
% 3.69/3.87 all A (unordered_pair(A,A)=singleton(A)).
% 3.69/3.87 all A (empty(A)->A=empty_set).
% 3.69/3.87 all A B (subset(singleton(A),singleton(B))->A=B).
% 3.69/3.87 all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.69/3.87 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 3.69/3.87 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.69/3.87 all A B C D (relation(D)-> (in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<->in(A,C)&in(ordered_pair(A,B),D))).
% 3.69/3.87 all A B (-(in(A,B)&empty(B))).
% 3.69/3.87 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 3.69/3.87 all A B subset(A,set_union2(A,B)).
% 3.69/3.87 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 3.69/3.87 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 3.69/3.87 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 3.69/3.87 all A B (-(empty(A)&A!=B&empty(B))).
% 3.69/3.87 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 3.69/3.87 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 3.69/3.87 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 3.69/3.87 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 3.69/3.87 all A B (in(A,B)->subset(A,union(B))).
% 3.69/3.87 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 3.69/3.87 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 3.69/3.87 all A (union(powerset(A))=A).
% 3.69/3.87 all A exists B (in(A,B)& (all C D (in(C,B)&subset(D,C)->in(D,B)))& (all C (-(in(C,B)& (all D (-(in(D,B)& (all E (subset(E,C)->in(E,D)))))))))& (all C (-(subset(C,B)& -are_e_quipotent(C,B)& -in(C,B))))).
% 3.69/3.87 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 3.69/3.87 end_of_list.
% 3.69/3.87
% 3.69/3.87 -------> usable clausifies to:
% 3.69/3.87
% 3.69/3.87 list(usable).
% 3.69/3.87 0 [] A=A.
% 3.69/3.87 0 [] -in(A,B)| -in(B,A).
% 3.69/3.87 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.69/3.87 0 [] -empty(A)|function(A).
% 3.69/3.87 0 [] -ordinal(A)|epsilon_transitive(A).
% 3.69/3.87 0 [] -ordinal(A)|epsilon_connected(A).
% 3.69/3.87 0 [] -empty(A)|relation(A).
% 3.69/3.87 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.69/3.87 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 3.69/3.87 0 [] -empty(A)|epsilon_transitive(A).
% 3.69/3.87 0 [] -empty(A)|epsilon_connected(A).
% 3.69/3.87 0 [] -empty(A)|ordinal(A).
% 3.69/3.87 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.69/3.87 0 [] set_union2(A,B)=set_union2(B,A).
% 3.69/3.87 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.69/3.87 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 3.69/3.87 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 3.69/3.87 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 3.69/3.87 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 3.69/3.87 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 3.69/3.87 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 3.69/3.87 0 [] -relation(B)|B=identity_relation(A)| -in(ordered_pair($f2(A,B),$f1(A,B)),B)| -in($f2(A,B),A)|$f2(A,B)!=$f1(A,B).
% 3.69/3.87 0 [] A!=B|subset(A,B).
% 3.69/3.87 0 [] A!=B|subset(B,A).
% 3.69/3.87 0 [] A=B| -subset(A,B)| -subset(B,A).
% 3.69/3.87 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 3.69/3.87 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 3.69/3.87 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 3.69/3.87 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 3.69/3.87 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),A).
% 3.69/3.87 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)| -in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)| -in($f4(A,B,C),B)| -in(ordered_pair($f4(A,B,C),$f3(A,B,C)),A).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)|in(D,C)| -in(E,relation_dom(A))| -in(E,B)|D!=apply(A,E).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 3.69/3.87 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 3.69/3.87 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 3.69/3.87 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 3.69/3.87 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 3.69/3.87 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 3.69/3.87 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)| -in($f8(A,B,C),A)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 3.69/3.87 0 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 3.69/3.87 0 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 3.69/3.87 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 3.69/3.87 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 3.69/3.87 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 3.69/3.87 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 3.69/3.87 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 3.69/3.87 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 3.69/3.87 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 3.69/3.87 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 3.69/3.87 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 3.69/3.87 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 3.69/3.87 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 3.69/3.87 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 3.69/3.87 0 [] -relation(A)|C=relation_inverse_image(A,B)| -in($f16(A,B,C),C)| -in(ordered_pair($f16(A,B,C),X3),A)| -in(X3,B).
% 3.69/3.87 0 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 3.69/3.87 0 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 3.69/3.87 0 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 3.69/3.87 0 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 3.69/3.87 0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 3.69/3.87 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 3.69/3.87 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 3.69/3.87 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 3.69/3.87 0 [] D=unordered_triple(A,B,C)|in($f17(A,B,C,D),D)|$f17(A,B,C,D)=A|$f17(A,B,C,D)=B|$f17(A,B,C,D)=C.
% 3.69/3.87 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 3.69/3.87 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 3.69/3.87 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 3.69/3.87 0 [] succ(A)=set_union2(A,singleton(A)).
% 3.69/3.87 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f19(A,B),$f18(A,B)).
% 3.69/3.87 0 [] relation(A)|in($f20(A),A).
% 3.69/3.87 0 [] relation(A)|$f20(A)!=ordered_pair(C,D).
% 3.69/3.87 0 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 3.69/3.87 0 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 3.69/3.87 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.69/3.87 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 3.69/3.87 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 3.69/3.87 0 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(X4,A)|in($f24(A,B),X4).
% 3.69/3.87 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 3.69/3.87 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 3.69/3.87 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.69/3.87 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.69/3.87 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 3.69/3.87 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 3.69/3.87 0 [] B=singleton(A)|in($f25(A,B),B)|$f25(A,B)=A.
% 3.69/3.87 0 [] B=singleton(A)| -in($f25(A,B),B)|$f25(A,B)!=A.
% 3.69/3.87 0 [] A!=empty_set| -in(B,A).
% 3.69/3.87 0 [] A=empty_set|in($f26(A),A).
% 3.69/3.87 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 3.69/3.87 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 3.69/3.87 0 [] B=powerset(A)|in($f27(A,B),B)|subset($f27(A,B),A).
% 3.69/3.87 0 [] B=powerset(A)| -in($f27(A,B),B)| -subset($f27(A,B),A).
% 3.69/3.87 0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 3.69/3.87 0 [] epsilon_transitive(A)|in($f28(A),A).
% 3.69/3.87 0 [] epsilon_transitive(A)| -subset($f28(A),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.69/3.87 0 [] empty(A)| -element(B,A)|in(B,A).
% 3.69/3.87 0 [] empty(A)|element(B,A)| -in(B,A).
% 3.69/3.87 0 [] -empty(A)| -element(B,A)|empty(B).
% 3.69/3.87 0 [] -empty(A)|element(B,A)| -empty(B).
% 3.69/3.87 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 3.69/3.87 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 3.69/3.87 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 3.69/3.87 0 [] C=unordered_pair(A,B)|in($f31(A,B,C),C)|$f31(A,B,C)=A|$f31(A,B,C)=B.
% 3.69/3.87 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=A.
% 3.69/3.87 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=B.
% 3.69/3.87 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 3.69/3.87 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 3.69/3.87 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 3.69/3.87 0 [] C=set_union2(A,B)|in($f32(A,B,C),C)|in($f32(A,B,C),A)|in($f32(A,B,C),B).
% 3.69/3.87 0 [] C=set_union2(A,B)| -in($f32(A,B,C),C)| -in($f32(A,B,C),A).
% 3.69/3.87 0 [] C=set_union2(A,B)| -in($f32(A,B,C),C)| -in($f32(A,B,C),B).
% 3.69/3.87 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f34(A,B,C,D),A).
% 3.69/3.87 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f33(A,B,C,D),B).
% 3.69/3.87 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f34(A,B,C,D),$f33(A,B,C,D)).
% 3.69/3.87 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 3.69/3.87 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|in($f36(A,B,C),A).
% 3.69/3.87 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|in($f35(A,B,C),B).
% 3.69/3.87 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|$f37(A,B,C)=ordered_pair($f36(A,B,C),$f35(A,B,C)).
% 3.69/3.87 0 [] C=cartesian_product2(A,B)| -in($f37(A,B,C),C)| -in(X5,A)| -in(X6,B)|$f37(A,B,C)!=ordered_pair(X5,X6).
% 3.69/3.87 0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 3.69/3.87 0 [] epsilon_connected(A)|in($f39(A),A).
% 3.69/3.87 0 [] epsilon_connected(A)|in($f38(A),A).
% 3.69/3.87 0 [] epsilon_connected(A)| -in($f39(A),$f38(A)).
% 3.69/3.87 0 [] epsilon_connected(A)|$f39(A)!=$f38(A).
% 3.69/3.87 0 [] epsilon_connected(A)| -in($f38(A),$f39(A)).
% 3.69/3.87 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 3.69/3.87 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.69/3.87 0 [] subset(A,B)|in($f42(A,B),A).
% 3.69/3.87 0 [] subset(A,B)| -in($f42(A,B),B).
% 3.69/3.87 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 3.69/3.87 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 3.69/3.87 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 3.69/3.87 0 [] C=set_intersection2(A,B)|in($f43(A,B,C),C)|in($f43(A,B,C),A).
% 3.69/3.87 0 [] C=set_intersection2(A,B)|in($f43(A,B,C),C)|in($f43(A,B,C),B).
% 3.69/3.87 0 [] C=set_intersection2(A,B)| -in($f43(A,B,C),C)| -in($f43(A,B,C),A)| -in($f43(A,B,C),B).
% 3.69/3.87 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.69/3.87 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.69/3.87 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.69/3.87 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.69/3.87 0 [] -ordinal(A)|epsilon_transitive(A).
% 3.69/3.87 0 [] -ordinal(A)|epsilon_connected(A).
% 3.69/3.87 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 3.69/3.87 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f44(A,B,C)),A).
% 3.69/3.87 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.69/3.87 0 [] -relation(A)|B=relation_dom(A)|in($f46(A,B),B)|in(ordered_pair($f46(A,B),$f45(A,B)),A).
% 3.69/3.87 0 [] -relation(A)|B=relation_dom(A)| -in($f46(A,B),B)| -in(ordered_pair($f46(A,B),X7),A).
% 3.69/3.87 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.
% 3.69/3.87 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f48(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f47(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f48(A,B),$f47(A,B)),A).
% 3.69/3.87 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f47(A,B),$f48(A,B)),A).
% 3.69/3.87 0 [] -relation(A)|is_antisymmetric_in(A,B)|$f48(A,B)!=$f47(A,B).
% 3.69/3.87 0 [] cast_to_subset(A)=A.
% 3.69/3.87 0 [] B!=union(A)| -in(C,B)|in(C,$f49(A,B,C)).
% 3.69/3.87 0 [] B!=union(A)| -in(C,B)|in($f49(A,B,C),A).
% 3.69/3.87 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 3.69/3.87 0 [] B=union(A)|in($f51(A,B),B)|in($f51(A,B),$f50(A,B)).
% 3.69/3.87 0 [] B=union(A)|in($f51(A,B),B)|in($f50(A,B),A).
% 3.69/3.87 0 [] B=union(A)| -in($f51(A,B),B)| -in($f51(A,B),X8)| -in(X8,A).
% 3.69/3.87 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 3.69/3.87 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 3.69/3.87 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 3.69/3.87 0 [] C=set_difference(A,B)|in($f52(A,B,C),C)|in($f52(A,B,C),A).
% 3.69/3.87 0 [] C=set_difference(A,B)|in($f52(A,B,C),C)| -in($f52(A,B,C),B).
% 3.69/3.87 0 [] C=set_difference(A,B)| -in($f52(A,B,C),C)| -in($f52(A,B,C),A)|in($f52(A,B,C),B).
% 3.69/3.87 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f53(A,B,C),relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f53(A,B,C)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.69/3.87 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|in($f54(A,B),relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|$f55(A,B)=apply(A,$f54(A,B)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f55(A,B),B)| -in(X9,relation_dom(A))|$f55(A,B)!=apply(A,X9).
% 3.69/3.87 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f56(A,B,C),C),A).
% 3.69/3.87 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.69/3.87 0 [] -relation(A)|B=relation_rng(A)|in($f58(A,B),B)|in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 3.69/3.87 0 [] -relation(A)|B=relation_rng(A)| -in($f58(A,B),B)| -in(ordered_pair(X10,$f58(A,B)),A).
% 3.69/3.87 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 3.69/3.87 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 3.69/3.87 0 [] -being_limit_ordinal(A)|A=union(A).
% 3.69/3.87 0 [] being_limit_ordinal(A)|A!=union(A).
% 3.69/3.87 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 3.69/3.87 0 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 3.69/3.87 0 [] -relation(A)|is_connected_in(A,B)|in($f60(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_connected_in(A,B)|in($f59(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_connected_in(A,B)|$f60(A,B)!=$f59(A,B).
% 3.69/3.87 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f60(A,B),$f59(A,B)),A).
% 3.69/3.87 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f59(A,B),$f60(A,B)),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f62(A,B),$f61(A,B)),B)|in(ordered_pair($f61(A,B),$f62(A,B)),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f62(A,B),$f61(A,B)),B)| -in(ordered_pair($f61(A,B),$f62(A,B)),A).
% 3.69/3.87 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.69/3.87 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.69/3.87 0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.69/3.87 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f64(A),relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f63(A),relation_dom(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f64(A))=apply(A,$f63(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|one_to_one(A)|$f64(A)!=$f63(A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f65(A,B,C,D,E)),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f65(A,B,C,D,E),E),B).
% 3.69/3.87 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.69/3.87 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f68(A,B,C),$f67(A,B,C)),C)|in(ordered_pair($f68(A,B,C),$f66(A,B,C)),A).
% 3.69/3.87 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f68(A,B,C),$f67(A,B,C)),C)|in(ordered_pair($f66(A,B,C),$f67(A,B,C)),B).
% 3.69/3.87 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f68(A,B,C),$f67(A,B,C)),C)| -in(ordered_pair($f68(A,B,C),X11),A)| -in(ordered_pair(X11,$f67(A,B,C)),B).
% 3.69/3.87 0 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 3.69/3.87 0 [] -relation(A)|is_transitive_in(A,B)|in($f71(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_transitive_in(A,B)|in($f70(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_transitive_in(A,B)|in($f69(A,B),B).
% 3.69/3.87 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f71(A,B),$f70(A,B)),A).
% 3.69/3.87 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f70(A,B),$f69(A,B)),A).
% 3.69/3.87 0 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f71(A,B),$f69(A,B)),A).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))| -in(D,C)|in(subset_complement(A,D),B).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))|in(D,C)| -in(subset_complement(A,D),B).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f72(A,B,C),powerset(A)).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f72(A,B,C),C)|in(subset_complement(A,$f72(A,B,C)),B).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f72(A,B,C),C)| -in(subset_complement(A,$f72(A,B,C)),B).
% 3.69/3.87 0 [] -proper_subset(A,B)|subset(A,B).
% 3.69/3.87 0 [] -proper_subset(A,B)|A!=B.
% 3.69/3.87 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.69/3.87 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 3.69/3.87 0 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 3.69/3.87 0 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] element(cast_to_subset(A),powerset(A)).
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] -relation(A)|relation(relation_inverse(A)).
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 3.69/3.87 0 [] relation(identity_relation(A)).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 3.69/3.87 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 3.69/3.87 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 3.69/3.87 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] $T.
% 3.69/3.87 0 [] element($f73(A),A).
% 3.69/3.87 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.69/3.87 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.69/3.87 0 [] -empty(A)|empty(relation_inverse(A)).
% 3.69/3.87 0 [] -empty(A)|relation(relation_inverse(A)).
% 3.69/3.87 0 [] empty(empty_set).
% 3.69/3.87 0 [] relation(empty_set).
% 3.69/3.87 0 [] relation_empty_yielding(empty_set).
% 3.69/3.87 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.87 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.69/3.87 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.69/3.87 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.69/3.87 0 [] -empty(succ(A)).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.69/3.87 0 [] -empty(powerset(A)).
% 3.69/3.87 0 [] empty(empty_set).
% 3.69/3.87 0 [] -empty(ordered_pair(A,B)).
% 3.69/3.87 0 [] relation(identity_relation(A)).
% 3.69/3.87 0 [] function(identity_relation(A)).
% 3.69/3.87 0 [] relation(empty_set).
% 3.69/3.87 0 [] relation_empty_yielding(empty_set).
% 3.69/3.87 0 [] function(empty_set).
% 3.69/3.87 0 [] one_to_one(empty_set).
% 3.69/3.87 0 [] empty(empty_set).
% 3.69/3.87 0 [] epsilon_transitive(empty_set).
% 3.69/3.87 0 [] epsilon_connected(empty_set).
% 3.69/3.87 0 [] ordinal(empty_set).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.69/3.87 0 [] -empty(singleton(A)).
% 3.69/3.87 0 [] empty(A)| -empty(set_union2(A,B)).
% 3.69/3.87 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.69/3.87 0 [] -ordinal(A)| -empty(succ(A)).
% 3.69/3.87 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 3.69/3.87 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 3.69/3.87 0 [] -ordinal(A)|ordinal(succ(A)).
% 3.69/3.87 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 3.69/3.87 0 [] -empty(unordered_pair(A,B)).
% 3.69/3.87 0 [] empty(A)| -empty(set_union2(B,A)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.87 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.69/3.87 0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 3.69/3.87 0 [] -ordinal(A)|epsilon_connected(union(A)).
% 3.69/3.87 0 [] -ordinal(A)|ordinal(union(A)).
% 3.69/3.87 0 [] empty(empty_set).
% 3.69/3.87 0 [] relation(empty_set).
% 3.69/3.87 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.69/3.87 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.69/3.87 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.69/3.87 0 [] -empty(A)|empty(relation_dom(A)).
% 3.69/3.87 0 [] -empty(A)|relation(relation_dom(A)).
% 3.69/3.87 0 [] -empty(A)|empty(relation_rng(A)).
% 3.69/3.87 0 [] -empty(A)|relation(relation_rng(A)).
% 3.69/3.87 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.69/3.87 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.69/3.87 0 [] set_union2(A,A)=A.
% 3.69/3.87 0 [] set_intersection2(A,A)=A.
% 3.69/3.87 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 3.69/3.87 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.69/3.87 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 3.69/3.87 0 [] -proper_subset(A,A).
% 3.69/3.87 0 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 3.69/3.87 0 [] -relation(A)|reflexive(A)|in($f74(A),relation_field(A)).
% 3.69/3.87 0 [] -relation(A)|reflexive(A)| -in(ordered_pair($f74(A),$f74(A)),A).
% 3.69/3.87 0 [] singleton(A)!=empty_set.
% 3.69/3.87 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.69/3.87 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.69/3.87 0 [] in(A,B)|disjoint(singleton(A),B).
% 3.69/3.87 0 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 3.69/3.87 0 [] -relation(A)|transitive(A)|in(ordered_pair($f77(A),$f76(A)),A).
% 3.69/3.87 0 [] -relation(A)|transitive(A)|in(ordered_pair($f76(A),$f75(A)),A).
% 3.69/3.87 0 [] -relation(A)|transitive(A)| -in(ordered_pair($f77(A),$f75(A)),A).
% 3.69/3.87 0 [] -subset(singleton(A),B)|in(A,B).
% 3.69/3.87 0 [] subset(singleton(A),B)| -in(A,B).
% 3.69/3.87 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.69/3.87 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.69/3.87 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 3.69/3.87 0 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 3.69/3.87 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f79(A),$f78(A)),A).
% 3.69/3.87 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f78(A),$f79(A)),A).
% 3.69/3.87 0 [] -relation(A)|antisymmetric(A)|$f79(A)!=$f78(A).
% 3.69/3.87 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.69/3.87 0 [] relation($c3).
% 3.69/3.87 0 [] connected($c3)| -in(B,relation_field($c3))| -in(C,relation_field($c3))|B=C|in(ordered_pair(B,C),$c3)|in(ordered_pair(C,B),$c3).
% 3.69/3.87 0 [] -connected($c3)|in($c2,relation_field($c3)).
% 3.69/3.87 0 [] -connected($c3)|in($c1,relation_field($c3)).
% 3.69/3.87 0 [] -connected($c3)|$c2!=$c1.
% 3.69/3.87 0 [] -connected($c3)| -in(ordered_pair($c2,$c1),$c3).
% 3.69/3.87 0 [] -connected($c3)| -in(ordered_pair($c1,$c2),$c3).
% 3.69/3.87 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.69/3.87 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.69/3.87 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.69/3.87 0 [] -in(A,B)|subset(A,union(B)).
% 3.69/3.87 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.69/3.87 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.69/3.87 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.69/3.87 0 [] in($f80(A,B),A)|element(A,powerset(B)).
% 3.69/3.87 0 [] -in($f80(A,B),B)|element(A,powerset(B)).
% 3.69/3.87 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 3.69/3.87 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 3.69/3.87 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 3.69/3.87 0 [] relation($c4).
% 3.69/3.87 0 [] function($c4).
% 3.69/3.87 0 [] epsilon_transitive($c5).
% 3.69/3.87 0 [] epsilon_connected($c5).
% 3.69/3.87 0 [] ordinal($c5).
% 3.69/3.87 0 [] empty($c6).
% 3.69/3.87 0 [] relation($c6).
% 3.69/3.87 0 [] empty(A)|element($f81(A),powerset(A)).
% 3.69/3.87 0 [] empty(A)| -empty($f81(A)).
% 3.69/3.87 0 [] empty($c7).
% 3.69/3.87 0 [] relation($c8).
% 3.69/3.87 0 [] empty($c8).
% 3.69/3.87 0 [] function($c8).
% 3.69/3.87 0 [] relation($c9).
% 3.69/3.87 0 [] function($c9).
% 3.69/3.88 0 [] one_to_one($c9).
% 3.69/3.88 0 [] empty($c9).
% 3.69/3.88 0 [] epsilon_transitive($c9).
% 3.69/3.88 0 [] epsilon_connected($c9).
% 3.69/3.88 0 [] ordinal($c9).
% 3.69/3.88 0 [] -empty($c10).
% 3.69/3.88 0 [] relation($c10).
% 3.69/3.88 0 [] element($f82(A),powerset(A)).
% 3.69/3.88 0 [] empty($f82(A)).
% 3.69/3.88 0 [] -empty($c11).
% 3.69/3.88 0 [] relation($c12).
% 3.69/3.88 0 [] function($c12).
% 3.69/3.88 0 [] one_to_one($c12).
% 3.69/3.88 0 [] -empty($c13).
% 3.69/3.88 0 [] epsilon_transitive($c13).
% 3.69/3.88 0 [] epsilon_connected($c13).
% 3.69/3.88 0 [] ordinal($c13).
% 3.69/3.88 0 [] relation($c14).
% 3.69/3.88 0 [] relation_empty_yielding($c14).
% 3.69/3.88 0 [] relation($c15).
% 3.69/3.88 0 [] relation_empty_yielding($c15).
% 3.69/3.88 0 [] function($c15).
% 3.69/3.88 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 3.69/3.88 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 3.69/3.88 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 3.69/3.88 0 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 3.69/3.88 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 3.69/3.88 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,A).
% 3.69/3.88 0 [] subset(A,A).
% 3.69/3.88 0 [] -disjoint(A,B)|disjoint(B,A).
% 3.69/3.88 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.69/3.88 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.69/3.88 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.69/3.88 0 [] in(A,succ(A)).
% 3.69/3.88 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 3.69/3.88 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 3.69/3.88 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 3.69/3.88 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 3.69/3.88 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 3.69/3.88 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.69/3.88 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.69/3.88 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 3.69/3.88 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.69/3.88 0 [] -subset(A,B)|set_union2(A,B)=B.
% 3.69/3.88 0 [] in(A,$f83(A)).
% 3.69/3.88 0 [] -in(C,$f83(A))| -subset(D,C)|in(D,$f83(A)).
% 3.69/3.88 0 [] -in(X12,$f83(A))|in(powerset(X12),$f83(A)).
% 3.69/3.88 0 [] -subset(X13,$f83(A))|are_e_quipotent(X13,$f83(A))|in(X13,$f83(A)).
% 3.69/3.88 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f84(A,B,C),relation_dom(C)).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f84(A,B,C),A),C).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f84(A,B,C),B).
% 3.69/3.88 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 3.69/3.88 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 3.69/3.88 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 3.69/3.88 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 3.69/3.88 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 3.69/3.88 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 3.69/3.88 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f85(A,B,C),relation_rng(C)).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f85(A,B,C)),C).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f85(A,B,C),B).
% 3.69/3.88 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 3.69/3.88 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 3.69/3.88 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 3.69/3.88 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 3.69/3.88 0 [] subset(set_intersection2(A,B),A).
% 3.69/3.88 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.69/3.88 0 [] set_union2(A,empty_set)=A.
% 3.69/3.88 0 [] -in(A,B)|element(A,B).
% 3.69/3.88 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.69/3.88 0 [] powerset(empty_set)=singleton(empty_set).
% 3.69/3.88 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.69/3.88 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|in(A,relation_dom(relation_composition(C,B)))| -in(A,relation_dom(C))| -in(apply(C,A),relation_dom(B)).
% 3.69/3.88 0 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 3.69/3.88 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|apply(relation_composition(C,B),A)=apply(B,apply(C,A)).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)).
% 3.69/3.88 0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 3.69/3.88 0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 3.69/3.88 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.69/3.88 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.69/3.88 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.69/3.88 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.69/3.88 0 [] set_intersection2(A,empty_set)=empty_set.
% 3.69/3.88 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.69/3.88 0 [] in($f86(A,B),A)|in($f86(A,B),B)|A=B.
% 3.69/3.88 0 [] -in($f86(A,B),A)| -in($f86(A,B),B)|A=B.
% 3.69/3.88 0 [] subset(empty_set,A).
% 3.69/3.88 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 3.69/3.88 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 3.69/3.88 0 [] in($f87(A),A)|ordinal(A).
% 3.69/3.88 0 [] -ordinal($f87(A))| -subset($f87(A),A)|ordinal(A).
% 3.69/3.88 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|ordinal($f88(A,B)).
% 3.69/3.88 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|in($f88(A,B),A).
% 3.69/3.88 0 [] -ordinal(B)| -subset(A,B)|A=empty_set| -ordinal(D)| -in(D,A)|ordinal_subset($f88(A,B),D).
% 3.69/3.88 0 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 3.69/3.88 0 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 3.69/3.88 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.69/3.88 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.69/3.88 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.69/3.88 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 3.69/3.88 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 3.69/3.88 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f89(A,B),A).
% 3.69/3.88 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f89(A,B))!=$f89(A,B).
% 3.69/3.88 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 3.69/3.88 0 [] subset(set_difference(A,B),A).
% 3.69/3.88 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.69/3.88 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 3.69/3.88 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.69/3.88 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.69/3.88 0 [] -subset(singleton(A),B)|in(A,B).
% 3.69/3.88 0 [] subset(singleton(A),B)| -in(A,B).
% 3.69/3.88 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.69/3.88 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.69/3.88 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.69/3.88 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.69/3.88 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.69/3.88 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.69/3.88 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.69/3.88 0 [] set_difference(A,empty_set)=A.
% 3.69/3.88 0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.69/3.88 0 [] -element(A,powerset(B))|subset(A,B).
% 3.69/3.88 0 [] element(A,powerset(B))| -subset(A,B).
% 3.69/3.88 0 [] disjoint(A,B)|in($f90(A,B),A).
% 3.69/3.88 0 [] disjoint(A,B)|in($f90(A,B),B).
% 3.69/3.88 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 3.69/3.88 0 [] -subset(A,empty_set)|A=empty_set.
% 3.69/3.88 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.69/3.88 0 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 3.69/3.88 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f91(A)).
% 3.69/3.88 0 [] -ordinal(A)|being_limit_ordinal(A)|in($f91(A),A).
% 3.69/3.88 0 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f91(A)),A).
% 3.69/3.88 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f92(A)).
% 3.69/3.88 0 [] -ordinal(A)|being_limit_ordinal(A)|A=succ($f92(A)).
% 3.69/3.88 0 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 3.69/3.88 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 3.69/3.88 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 3.69/3.88 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.69/3.88 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.69/3.88 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 3.69/3.88 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.69/3.88 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 3.69/3.88 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.69/3.88 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.69/3.88 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 3.69/3.88 0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 3.69/3.88 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 3.69/3.88 0 [] set_difference(empty_set,A)=empty_set.
% 3.69/3.88 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.69/3.88 0 [] disjoint(A,B)|in($f93(A,B),set_intersection2(A,B)).
% 3.69/3.88 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 3.69/3.88 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|in(C,relation_rng(A)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|D=apply(B,C).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f95(A,B),relation_rng(A))|in($f94(A,B),relation_dom(A)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f95(A,B),relation_rng(A))|$f95(A,B)=apply(A,$f94(A,B)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f94(A,B)=apply(B,$f95(A,B))|in($f94(A,B),relation_dom(A)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f94(A,B)=apply(B,$f95(A,B))|$f95(A,B)=apply(A,$f94(A,B)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f94(A,B),relation_dom(A))|$f95(A,B)!=apply(A,$f94(A,B))| -in($f95(A,B),relation_rng(A))|$f94(A,B)!=apply(B,$f95(A,B)).
% 3.69/3.88 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 3.69/3.88 0 [] -relation(A)|in(ordered_pair($f97(A),$f96(A)),A)|A=empty_set.
% 3.69/3.88 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 3.69/3.88 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.69/3.88 0 [] relation_dom(empty_set)=empty_set.
% 3.69/3.88 0 [] relation_rng(empty_set)=empty_set.
% 3.69/3.88 0 [] -subset(A,B)| -proper_subset(B,A).
% 3.69/3.88 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.69/3.88 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.69/3.88 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.69/3.88 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.69/3.88 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.69/3.88 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.69/3.88 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.69/3.88 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)| -in(D,relation_dom(B))|apply(B,D)=apply(C,D).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|in($f98(A,B,C),relation_dom(B)).
% 3.69/3.88 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|apply(B,$f98(A,B,C))!=apply(C,$f98(A,B,C)).
% 3.69/3.88 0 [] unordered_pair(A,A)=singleton(A).
% 3.69/3.88 0 [] -empty(A)|A=empty_set.
% 3.69/3.88 0 [] -subset(singleton(A),singleton(B))|A=B.
% 3.69/3.88 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.69/3.88 0 [] relation_dom(identity_relation(A))=A.
% 3.69/3.88 0 [] relation_rng(identity_relation(A))=A.
% 3.69/3.88 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.69/3.88 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 3.69/3.88 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 3.69/3.88 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 3.69/3.88 0 [] -in(A,B)| -empty(B).
% 3.69/3.88 0 [] -in(A,B)|in($f99(A,B),B).
% 3.69/3.88 0 [] -in(A,B)| -in(D,B)| -in(D,$f99(A,B)).
% 3.69/3.88 0 [] subset(A,set_union2(A,B)).
% 3.69/3.88 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.69/3.88 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 3.69/3.88 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 3.69/3.88 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 3.69/3.88 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 3.69/3.88 0 [] -empty(A)|A=B| -empty(B).
% 3.69/3.88 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.69/3.88 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 3.69/3.88 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 3.69/3.88 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.69/3.88 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.69/3.88 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 3.69/3.88 0 [] -in(A,B)|subset(A,union(B)).
% 3.69/3.88 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 3.69/3.88 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 3.69/3.88 0 [] union(powerset(A))=A.
% 3.69/3.88 0 [] in(A,$f101(A)).
% 3.69/3.88 0 [] -in(C,$f101(A))| -subset(D,C)|in(D,$f101(A)).
% 3.69/3.88 0 [] -in(X14,$f101(A))|in($f100(A,X14),$f101(A)).
% 3.69/3.88 0 [] -in(X14,$f101(A))| -subset(E,X14)|in(E,$f100(A,X14)).
% 3.69/3.88 0 [] -subset(X15,$f101(A))|are_e_quipotent(X15,$f101(A))|in(X15,$f101(A)).
% 3.69/3.88 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.69/3.88 end_of_list.
% 3.69/3.88
% 3.69/3.88 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 3.69/3.88
% 3.69/3.88 This ia a non-Horn set with equality. The strategy will be
% 3.69/3.88 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.69/3.88 deletion, with positive clauses in sos and nonpositive
% 3.69/3.88 clauses in usable.
% 3.69/3.88
% 3.69/3.88 dependent: set(knuth_bendix).
% 3.69/3.88 dependent: set(anl_eq).
% 3.69/3.88 dependent: set(para_from).
% 3.69/3.88 dependent: set(para_into).
% 3.69/3.88 dependent: clear(para_from_right).
% 3.69/3.88 dependent: clear(para_into_right).
% 3.69/3.88 dependent: set(para_from_vars).
% 3.69/3.88 dependent: set(eq_units_both_ways).
% 3.69/3.88 dependent: set(dynamic_demod_all).
% 3.69/3.88 dependent: set(dynamic_demod).
% 3.69/3.88 dependent: set(order_eq).
% 3.69/3.88 dependent: set(back_demod).
% 3.69/3.88 dependent: set(lrpo).
% 3.69/3.88 dependent: set(hyper_res).
% 3.69/3.88 dependent: set(unit_deletion).
% 3.69/3.88 dependent: set(factor).
% 3.69/3.88
% 3.69/3.88 ------------> process usable:
% 3.69/3.88 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 3.69/3.88 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.69/3.88 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 3.69/3.88 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_transitive(A).
% 3.69/3.88 ** KEPT (pick-wt=4): 5 [] -ordinal(A)|epsilon_connected(A).
% 3.69/3.88 ** KEPT (pick-wt=4): 6 [] -empty(A)|relation(A).
% 3.69/3.88 ** KEPT (pick-wt=8): 7 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.69/3.88 ** KEPT (pick-wt=6): 8 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 3.69/3.88 ** KEPT (pick-wt=4): 9 [] -empty(A)|epsilon_transitive(A).
% 3.69/3.88 ** KEPT (pick-wt=4): 10 [] -empty(A)|epsilon_connected(A).
% 3.69/3.88 ** KEPT (pick-wt=4): 11 [] -empty(A)|ordinal(A).
% 3.69/3.88 ** KEPT (pick-wt=10): 12 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 3.69/3.88 ** KEPT (pick-wt=14): 13 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 3.69/3.88 ** KEPT (pick-wt=14): 14 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 3.69/3.88 ** KEPT (pick-wt=17): 15 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 3.69/3.88 ** KEPT (pick-wt=20): 16 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 3.69/3.88 ** KEPT (pick-wt=22): 17 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 3.69/3.88 ** KEPT (pick-wt=27): 18 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 3.69/3.88 ** KEPT (pick-wt=6): 19 [] A!=B|subset(A,B).
% 3.69/3.88 ** KEPT (pick-wt=6): 20 [] A!=B|subset(B,A).
% 3.69/3.88 ** KEPT (pick-wt=9): 21 [] A=B| -subset(A,B)| -subset(B,A).
% 3.69/3.88 ** KEPT (pick-wt=17): 22 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 3.69/3.88 ** KEPT (pick-wt=19): 23 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.69/3.88 ** KEPT (pick-wt=22): 24 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)|in(ordered_pair(D,E),B)| -in(D,C)| -in(ordered_pair(D,E),A).
% 3.69/3.88 ** KEPT (pick-wt=26): 25 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in($f4(A,C,B),C).
% 3.69/3.88 ** KEPT (pick-wt=31): 26 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 3.69/3.88 ** KEPT (pick-wt=37): 27 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)| -in($f4(A,C,B),C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 3.69/3.88 ** KEPT (pick-wt=20): 28 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 3.69/3.88 ** KEPT (pick-wt=19): 29 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 3.69/3.88 ** KEPT (pick-wt=21): 31 [copy,30,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 3.69/3.88 ** KEPT (pick-wt=24): 32 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 3.69/3.88 ** KEPT (pick-wt=22): 33 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 3.69/3.88 ** KEPT (pick-wt=21): 34 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 3.69/3.88 ** KEPT (pick-wt=26): 36 [copy,35,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 3.69/3.88 ** KEPT (pick-wt=30): 37 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f7(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f7(A,C,B)!=apply(A,D).
% 3.69/3.88 ** KEPT (pick-wt=17): 38 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 3.69/3.88 ** KEPT (pick-wt=19): 39 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.69/3.88 ** KEPT (pick-wt=22): 40 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)|in(ordered_pair(D,E),B)| -in(E,C)| -in(ordered_pair(D,E),A).
% 3.69/3.88 ** KEPT (pick-wt=26): 41 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in($f8(C,A,B),C).
% 3.69/3.88 ** KEPT (pick-wt=31): 42 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 3.69/3.88 ** KEPT (pick-wt=37): 43 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)| -in($f8(C,A,B),C)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 3.69/3.88 ** KEPT (pick-wt=8): 44 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 3.69/3.88 ** KEPT (pick-wt=8): 45 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 3.69/3.89 ** KEPT (pick-wt=16): 46 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 3.69/3.89 ** KEPT (pick-wt=17): 47 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 3.69/3.89 ** KEPT (pick-wt=21): 48 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 3.69/3.89 ** KEPT (pick-wt=22): 49 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 3.69/3.89 ** KEPT (pick-wt=23): 50 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 3.69/3.89 ** KEPT (pick-wt=30): 51 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f10(A,C,B),B)| -in($f10(A,C,B),relation_dom(A))| -in(apply(A,$f10(A,C,B)),C).
% 3.69/3.89 ** KEPT (pick-wt=19): 52 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 3.69/3.89 ** KEPT (pick-wt=17): 53 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 3.69/3.89 ** KEPT (pick-wt=18): 54 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 3.69/3.89 ** KEPT (pick-wt=24): 55 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 3.69/3.89 ** KEPT (pick-wt=19): 56 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 3.69/3.89 ** KEPT (pick-wt=24): 57 [] -relation(A)|B=relation_image(A,C)| -in($f13(A,C,B),B)| -in(ordered_pair(D,$f13(A,C,B)),A)| -in(D,C).
% 3.69/3.89 ** KEPT (pick-wt=19): 58 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 3.69/3.89 ** KEPT (pick-wt=17): 59 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 3.69/3.89 ** KEPT (pick-wt=18): 60 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 3.69/3.89 ** KEPT (pick-wt=24): 61 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 3.69/3.89 ** KEPT (pick-wt=19): 62 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 3.69/3.89 ** KEPT (pick-wt=24): 63 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f16(A,C,B),B)| -in(ordered_pair($f16(A,C,B),D),A)| -in(D,C).
% 3.69/3.89 ** KEPT (pick-wt=8): 64 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 3.69/3.89 ** KEPT (pick-wt=8): 65 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 3.69/3.89 ** KEPT (pick-wt=8): 66 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 3.69/3.89 ** KEPT (pick-wt=8): 67 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 3.69/3.89 ** KEPT (pick-wt=18): 68 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 3.69/3.89 ** KEPT (pick-wt=12): 69 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 3.69/3.89 ** KEPT (pick-wt=12): 70 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 3.69/3.89 ** KEPT (pick-wt=12): 71 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 3.69/3.89 ** KEPT (pick-wt=20): 72 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 3.69/3.89 ** KEPT (pick-wt=20): 73 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 3.69/3.89 ** KEPT (pick-wt=20): 74 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 3.69/3.89 ** KEPT (pick-wt=14): 76 [copy,75,flip.3] -relation(A)| -in(B,A)|ordered_pair($f19(A,B),$f18(A,B))=B.
% 3.69/3.89 ** KEPT (pick-wt=8): 77 [] relation(A)|$f20(A)!=ordered_pair(B,C).
% 3.69/3.89 ** KEPT (pick-wt=13): 78 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 3.69/3.89 ** KEPT (pick-wt=10): 79 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 3.69/3.89 ** KEPT (pick-wt=14): 80 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 3.69/3.89 ** KEPT (pick-wt=16): 81 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.69/3.89 ** KEPT (pick-wt=16): 82 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 3.69/3.89 ** KEPT (pick-wt=16): 83 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 3.69/3.89 ** KEPT (pick-wt=20): 84 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(C,A)|in($f24(A,B),C).
% 3.69/3.89 ** KEPT (pick-wt=17): 85 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 3.69/3.89 ** KEPT (pick-wt=19): 86 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 3.69/3.89 ** KEPT (pick-wt=10): 87 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.69/3.89 ** KEPT (pick-wt=10): 88 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.69/3.89 ** KEPT (pick-wt=10): 89 [] A!=singleton(B)| -in(C,A)|C=B.
% 3.69/3.89 ** KEPT (pick-wt=10): 90 [] A!=singleton(B)|in(C,A)|C!=B.
% 3.69/3.89 ** KEPT (pick-wt=14): 91 [] A=singleton(B)| -in($f25(B,A),A)|$f25(B,A)!=B.
% 3.69/3.89 ** KEPT (pick-wt=6): 92 [] A!=empty_set| -in(B,A).
% 3.69/3.89 ** KEPT (pick-wt=10): 93 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 3.69/3.89 ** KEPT (pick-wt=10): 94 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 3.69/3.89 ** KEPT (pick-wt=14): 95 [] A=powerset(B)| -in($f27(B,A),A)| -subset($f27(B,A),B).
% 3.69/3.89 ** KEPT (pick-wt=8): 96 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 3.69/3.89 ** KEPT (pick-wt=6): 97 [] epsilon_transitive(A)| -subset($f28(A),A).
% 3.69/3.89 ** KEPT (pick-wt=17): 98 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.89 ** KEPT (pick-wt=17): 99 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.69/3.89 ** KEPT (pick-wt=25): 100 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.69/3.89 ** KEPT (pick-wt=25): 101 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.69/3.89 ** KEPT (pick-wt=8): 102 [] empty(A)| -element(B,A)|in(B,A).
% 3.69/3.89 ** KEPT (pick-wt=8): 103 [] empty(A)|element(B,A)| -in(B,A).
% 3.69/3.89 ** KEPT (pick-wt=7): 104 [] -empty(A)| -element(B,A)|empty(B).
% 3.69/3.89 ** KEPT (pick-wt=7): 105 [] -empty(A)|element(B,A)| -empty(B).
% 3.69/3.89 ** KEPT (pick-wt=14): 106 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 3.69/3.89 ** KEPT (pick-wt=11): 107 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 3.69/3.89 ** KEPT (pick-wt=11): 108 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 3.69/3.89 ** KEPT (pick-wt=17): 109 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=B.
% 3.69/3.89 ** KEPT (pick-wt=17): 110 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=C.
% 3.69/3.89 ** KEPT (pick-wt=14): 111 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 3.69/3.89 ** KEPT (pick-wt=11): 112 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 3.69/3.89 ** KEPT (pick-wt=11): 113 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 3.69/3.89 ** KEPT (pick-wt=17): 114 [] A=set_union2(B,C)| -in($f32(B,C,A),A)| -in($f32(B,C,A),B).
% 3.69/3.89 ** KEPT (pick-wt=17): 115 [] A=set_union2(B,C)| -in($f32(B,C,A),A)| -in($f32(B,C,A),C).
% 3.69/3.89 ** KEPT (pick-wt=15): 116 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f34(B,C,A,D),B).
% 3.69/3.89 ** KEPT (pick-wt=15): 117 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f33(B,C,A,D),C).
% 3.69/3.89 ** KEPT (pick-wt=21): 119 [copy,118,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f34(B,C,A,D),$f33(B,C,A,D))=D.
% 3.69/3.89 ** KEPT (pick-wt=19): 120 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 3.69/3.89 ** KEPT (pick-wt=25): 121 [] A=cartesian_product2(B,C)| -in($f37(B,C,A),A)| -in(D,B)| -in(E,C)|$f37(B,C,A)!=ordered_pair(D,E).
% 3.69/3.89 ** KEPT (pick-wt=17): 122 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 3.69/3.89 ** KEPT (pick-wt=7): 123 [] epsilon_connected(A)| -in($f39(A),$f38(A)).
% 3.69/3.89 ** KEPT (pick-wt=7): 124 [] epsilon_connected(A)|$f39(A)!=$f38(A).
% 3.69/3.89 ** KEPT (pick-wt=7): 125 [] epsilon_connected(A)| -in($f38(A),$f39(A)).
% 3.69/3.89 ** KEPT (pick-wt=17): 126 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.89 ** KEPT (pick-wt=16): 127 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 3.69/3.89 ** KEPT (pick-wt=16): 128 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 3.69/3.89 ** KEPT (pick-wt=9): 129 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.69/3.89 ** KEPT (pick-wt=8): 130 [] subset(A,B)| -in($f42(A,B),B).
% 3.69/3.89 ** KEPT (pick-wt=11): 131 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 3.69/3.89 ** KEPT (pick-wt=11): 132 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 3.69/3.89 ** KEPT (pick-wt=14): 133 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 3.69/3.89 ** KEPT (pick-wt=23): 134 [] A=set_intersection2(B,C)| -in($f43(B,C,A),A)| -in($f43(B,C,A),B)| -in($f43(B,C,A),C).
% 3.69/3.89 ** KEPT (pick-wt=18): 135 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.78/3.89 ** KEPT (pick-wt=18): 136 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.78/3.89 ** KEPT (pick-wt=16): 137 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.78/3.89 ** KEPT (pick-wt=16): 138 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.78/3.89 Following clause subsumed by 4 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 3.78/3.89 Following clause subsumed by 5 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 3.78/3.89 Following clause subsumed by 8 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 3.78/3.89 ** KEPT (pick-wt=17): 139 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f44(A,B,C)),A).
% 3.78/3.89 ** KEPT (pick-wt=14): 140 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.78/3.89 ** KEPT (pick-wt=20): 141 [] -relation(A)|B=relation_dom(A)|in($f46(A,B),B)|in(ordered_pair($f46(A,B),$f45(A,B)),A).
% 3.78/3.89 ** KEPT (pick-wt=18): 142 [] -relation(A)|B=relation_dom(A)| -in($f46(A,B),B)| -in(ordered_pair($f46(A,B),C),A).
% 3.78/3.90 ** KEPT (pick-wt=24): 143 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 3.78/3.90 ** KEPT (pick-wt=10): 144 [] -relation(A)|is_antisymmetric_in(A,B)|in($f48(A,B),B).
% 3.78/3.90 ** KEPT (pick-wt=10): 145 [] -relation(A)|is_antisymmetric_in(A,B)|in($f47(A,B),B).
% 3.78/3.90 ** KEPT (pick-wt=14): 146 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f48(A,B),$f47(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=14): 147 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f47(A,B),$f48(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=12): 148 [] -relation(A)|is_antisymmetric_in(A,B)|$f48(A,B)!=$f47(A,B).
% 3.78/3.90 ** KEPT (pick-wt=13): 149 [] A!=union(B)| -in(C,A)|in(C,$f49(B,A,C)).
% 3.78/3.90 ** KEPT (pick-wt=13): 150 [] A!=union(B)| -in(C,A)|in($f49(B,A,C),B).
% 3.78/3.90 ** KEPT (pick-wt=13): 151 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 3.78/3.90 ** KEPT (pick-wt=17): 152 [] A=union(B)| -in($f51(B,A),A)| -in($f51(B,A),C)| -in(C,B).
% 3.78/3.90 ** KEPT (pick-wt=11): 153 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 3.78/3.90 ** KEPT (pick-wt=11): 154 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 3.78/3.90 ** KEPT (pick-wt=14): 155 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 3.78/3.90 ** KEPT (pick-wt=17): 156 [] A=set_difference(B,C)|in($f52(B,C,A),A)| -in($f52(B,C,A),C).
% 3.78/3.90 ** KEPT (pick-wt=23): 157 [] A=set_difference(B,C)| -in($f52(B,C,A),A)| -in($f52(B,C,A),B)|in($f52(B,C,A),C).
% 3.78/3.90 ** KEPT (pick-wt=18): 158 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f53(A,B,C),relation_dom(A)).
% 3.78/3.90 ** KEPT (pick-wt=19): 160 [copy,159,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f53(A,B,C))=C.
% 3.78/3.90 ** KEPT (pick-wt=20): 161 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.78/3.90 ** KEPT (pick-wt=19): 162 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|in($f54(A,B),relation_dom(A)).
% 3.78/3.90 ** KEPT (pick-wt=22): 164 [copy,163,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|apply(A,$f54(A,B))=$f55(A,B).
% 3.78/3.90 ** KEPT (pick-wt=24): 165 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f55(A,B),B)| -in(C,relation_dom(A))|$f55(A,B)!=apply(A,C).
% 3.78/3.90 ** KEPT (pick-wt=17): 166 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f56(A,B,C),C),A).
% 3.78/3.90 ** KEPT (pick-wt=14): 167 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.78/3.90 ** KEPT (pick-wt=20): 168 [] -relation(A)|B=relation_rng(A)|in($f58(A,B),B)|in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=18): 169 [] -relation(A)|B=relation_rng(A)| -in($f58(A,B),B)| -in(ordered_pair(C,$f58(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=11): 170 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 3.78/3.90 ** KEPT (pick-wt=6): 172 [copy,171,flip.2] -being_limit_ordinal(A)|union(A)=A.
% 3.78/3.90 ** KEPT (pick-wt=6): 174 [copy,173,flip.2] being_limit_ordinal(A)|union(A)!=A.
% 3.78/3.90 ** KEPT (pick-wt=10): 176 [copy,175,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 3.78/3.90 ** KEPT (pick-wt=24): 177 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 3.78/3.90 ** KEPT (pick-wt=10): 178 [] -relation(A)|is_connected_in(A,B)|in($f60(A,B),B).
% 3.78/3.90 ** KEPT (pick-wt=10): 179 [] -relation(A)|is_connected_in(A,B)|in($f59(A,B),B).
% 3.78/3.90 ** KEPT (pick-wt=12): 180 [] -relation(A)|is_connected_in(A,B)|$f60(A,B)!=$f59(A,B).
% 3.78/3.90 ** KEPT (pick-wt=14): 181 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f60(A,B),$f59(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=14): 182 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f59(A,B),$f60(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=18): 183 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.78/3.90 ** KEPT (pick-wt=18): 184 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.78/3.90 ** KEPT (pick-wt=26): 185 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f62(A,B),$f61(A,B)),B)|in(ordered_pair($f61(A,B),$f62(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=26): 186 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f62(A,B),$f61(A,B)),B)| -in(ordered_pair($f61(A,B),$f62(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=8): 187 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.78/3.90 ** KEPT (pick-wt=8): 188 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.78/3.90 ** KEPT (pick-wt=24): 189 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.78/3.90 ** KEPT (pick-wt=11): 190 [] -relation(A)| -function(A)|one_to_one(A)|in($f64(A),relation_dom(A)).
% 3.78/3.90 ** KEPT (pick-wt=11): 191 [] -relation(A)| -function(A)|one_to_one(A)|in($f63(A),relation_dom(A)).
% 3.78/3.90 ** KEPT (pick-wt=15): 192 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f64(A))=apply(A,$f63(A)).
% 3.78/3.90 ** KEPT (pick-wt=11): 193 [] -relation(A)| -function(A)|one_to_one(A)|$f64(A)!=$f63(A).
% 3.78/3.90 ** KEPT (pick-wt=26): 194 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f65(A,B,C,D,E)),A).
% 3.78/3.90 ** KEPT (pick-wt=26): 195 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f65(A,B,C,D,E),E),B).
% 3.78/3.90 ** KEPT (pick-wt=26): 196 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.78/3.90 ** KEPT (pick-wt=33): 197 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f68(A,B,C),$f67(A,B,C)),C)|in(ordered_pair($f68(A,B,C),$f66(A,B,C)),A).
% 3.78/3.90 ** KEPT (pick-wt=33): 198 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f68(A,B,C),$f67(A,B,C)),C)|in(ordered_pair($f66(A,B,C),$f67(A,B,C)),B).
% 3.78/3.90 ** KEPT (pick-wt=38): 199 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f68(A,B,C),$f67(A,B,C)),C)| -in(ordered_pair($f68(A,B,C),D),A)| -in(ordered_pair(D,$f67(A,B,C)),B).
% 3.78/3.90 ** KEPT (pick-wt=29): 200 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 3.78/3.90 ** KEPT (pick-wt=10): 201 [] -relation(A)|is_transitive_in(A,B)|in($f71(A,B),B).
% 3.78/3.90 ** KEPT (pick-wt=10): 202 [] -relation(A)|is_transitive_in(A,B)|in($f70(A,B),B).
% 3.78/3.90 ** KEPT (pick-wt=10): 203 [] -relation(A)|is_transitive_in(A,B)|in($f69(A,B),B).
% 3.78/3.90 ** KEPT (pick-wt=14): 204 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f71(A,B),$f70(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=14): 205 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f70(A,B),$f69(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=14): 206 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f71(A,B),$f69(A,B)),A).
% 3.78/3.90 ** KEPT (pick-wt=27): 207 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))| -in(D,C)|in(subset_complement(B,D),A).
% 3.78/3.90 ** KEPT (pick-wt=27): 208 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))|in(D,C)| -in(subset_complement(B,D),A).
% 3.78/3.90 ** KEPT (pick-wt=22): 209 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f72(B,A,C),powerset(B)).
% 3.78/3.90 ** KEPT (pick-wt=29): 210 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f72(B,A,C),C)|in(subset_complement(B,$f72(B,A,C)),A).
% 3.78/3.90 ** KEPT (pick-wt=29): 211 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f72(B,A,C),C)| -in(subset_complement(B,$f72(B,A,C)),A).
% 3.78/3.90 ** KEPT (pick-wt=6): 212 [] -proper_subset(A,B)|subset(A,B).
% 3.78/3.90 ** KEPT (pick-wt=6): 213 [] -proper_subset(A,B)|A!=B.
% 3.78/3.90 ** KEPT (pick-wt=9): 214 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.78/3.90 ** KEPT (pick-wt=11): 216 [copy,215,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 3.78/3.90 ** KEPT (pick-wt=8): 217 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 218 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 3.78/3.90 ** KEPT (pick-wt=7): 219 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.78/3.90 ** KEPT (pick-wt=7): 220 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.78/3.90 ** KEPT (pick-wt=10): 221 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 3.78/3.90 ** KEPT (pick-wt=5): 222 [] -relation(A)|relation(relation_inverse(A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 223 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=11): 224 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 3.78/3.90 ** KEPT (pick-wt=11): 225 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 3.78/3.90 ** KEPT (pick-wt=15): 226 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 3.78/3.90 ** KEPT (pick-wt=6): 227 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=12): 228 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 3.78/3.90 ** KEPT (pick-wt=6): 229 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 230 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 231 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 232 [] -empty(A)|empty(relation_inverse(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 233 [] -empty(A)|relation(relation_inverse(A)).
% 3.78/3.90 Following clause subsumed by 227 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=8): 234 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.78/3.90 Following clause subsumed by 223 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=12): 235 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=3): 236 [] -empty(succ(A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 237 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=3): 238 [] -empty(powerset(A)).
% 3.78/3.90 ** KEPT (pick-wt=4): 239 [] -empty(ordered_pair(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=8): 240 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=3): 241 [] -empty(singleton(A)).
% 3.78/3.90 ** KEPT (pick-wt=6): 242 [] empty(A)| -empty(set_union2(A,B)).
% 3.78/3.90 Following clause subsumed by 222 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.78/3.90 ** KEPT (pick-wt=9): 243 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.78/3.90 Following clause subsumed by 236 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 244 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 245 [] -ordinal(A)|epsilon_connected(succ(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 246 [] -ordinal(A)|ordinal(succ(A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 247 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=4): 248 [] -empty(unordered_pair(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=6): 249 [] empty(A)| -empty(set_union2(B,A)).
% 3.78/3.90 Following clause subsumed by 227 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=8): 250 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=5): 251 [] -ordinal(A)|epsilon_transitive(union(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 252 [] -ordinal(A)|epsilon_connected(union(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 253 [] -ordinal(A)|ordinal(union(A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 254 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=7): 255 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.78/3.90 ** KEPT (pick-wt=7): 256 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 257 [] -empty(A)|empty(relation_dom(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 258 [] -empty(A)|relation(relation_dom(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 259 [] -empty(A)|empty(relation_rng(A)).
% 3.78/3.90 ** KEPT (pick-wt=5): 260 [] -empty(A)|relation(relation_rng(A)).
% 3.78/3.90 ** KEPT (pick-wt=8): 261 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=8): 262 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.78/3.90 ** KEPT (pick-wt=11): 263 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 3.78/3.90 ** KEPT (pick-wt=7): 264 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.78/3.90 ** KEPT (pick-wt=12): 265 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 3.78/3.90 ** KEPT (pick-wt=3): 266 [] -proper_subset(A,A).
% 3.78/3.90 ** KEPT (pick-wt=13): 267 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 3.78/3.90 ** KEPT (pick-wt=9): 268 [] -relation(A)|reflexive(A)|in($f74(A),relation_field(A)).
% 3.78/3.90 ** KEPT (pick-wt=11): 269 [] -relation(A)|reflexive(A)| -in(ordered_pair($f74(A),$f74(A)),A).
% 3.78/3.90 ** KEPT (pick-wt=4): 270 [] singleton(A)!=empty_set.
% 3.78/3.90 ** KEPT (pick-wt=9): 271 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.78/3.90 ** KEPT (pick-wt=7): 272 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.78/3.90 ** KEPT (pick-wt=19): 273 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 3.78/3.90 ** KEPT (pick-wt=11): 274 [] -relation(A)|transitive(A)|in(ordered_pair($f77(A),$f76(A)),A).
% 3.78/3.90 ** KEPT (pick-wt=11): 275 [] -relation(A)|transitive(A)|in(ordered_pair($f76(A),$f75(A)),A).
% 3.78/3.90 ** KEPT (pick-wt=11): 276 [] -relation(A)|transitive(A)| -in(ordered_pair($f77(A),$f75(A)),A).
% 3.78/3.90 ** KEPT (pick-wt=7): 277 [] -subset(singleton(A),B)|in(A,B).
% 3.78/3.90 ** KEPT (pick-wt=7): 278 [] subset(singleton(A),B)| -in(A,B).
% 3.78/3.90 ** KEPT (pick-wt=8): 279 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.78/3.90 ** KEPT (pick-wt=8): 280 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.78/3.90 ** KEPT (pick-wt=10): 281 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 3.78/3.90 ** KEPT (pick-wt=17): 282 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 3.78/3.90 ** KEPT (pick-wt=11): 283 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f79(A),$f78(A)),A).
% 3.78/3.90 ** KEPT (pick-wt=11): 284 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f78(A),$f79(A)),A).
% 3.78/3.90 ** KEPT (pick-wt=9): 285 [] -relation(A)|antisymmetric(A)|$f79(A)!=$f78(A).
% 3.78/3.90 ** KEPT (pick-wt=12): 286 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.78/3.90 ** KEPT (pick-wt=23): 287 [] connected($c3)| -in(A,relation_field($c3))| -in(B,relation_field($c3))|A=B|in(ordered_pair(A,B),$c3)|in(ordered_pair(B,A),$c3).
% 3.78/3.90 ** KEPT (pick-wt=6): 288 [] -connected($c3)|in($c2,relation_field($c3)).
% 3.78/3.90 ** KEPT (pick-wt=6): 289 [] -connected($c3)|in($c1,relation_field($c3)).
% 3.78/3.90 ** KEPT (pick-wt=5): 290 [] -connected($c3)|$c2!=$c1.
% 3.78/3.90 ** KEPT (pick-wt=7): 291 [] -connected($c3)| -in(ordered_pair($c2,$c1),$c3).
% 3.78/3.90 ** KEPT (pick-wt=7): 292 [] -connected($c3)| -in(ordered_pair($c1,$c2),$c3).
% 3.78/3.90 ** KEPT (pick-wt=11): 293 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.78/3.90 ** KEPT (pick-wt=7): 294 [] subset(A,singleton(B))|A!=empty_set.
% 3.78/3.90 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.78/3.90 ** KEPT (pick-wt=7): 295 [] -in(A,B)|subset(A,union(B)).
% 3.78/3.90 ** KEPT (pick-wt=10): 296 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.78/3.90 ** KEPT (pick-wt=10): 297 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.78/3.90 ** KEPT (pick-wt=13): 298 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.78/3.91 ** KEPT (pick-wt=9): 299 [] -in($f80(A,B),B)|element(A,powerset(B)).
% 3.78/3.91 ** KEPT (pick-wt=14): 300 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.78/3.91 ** KEPT (pick-wt=13): 301 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.78/3.91 ** KEPT (pick-wt=17): 302 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 3.78/3.91 ** KEPT (pick-wt=5): 303 [] empty(A)| -empty($f81(A)).
% 3.78/3.91 ** KEPT (pick-wt=2): 304 [] -empty($c10).
% 3.78/3.91 ** KEPT (pick-wt=2): 305 [] -empty($c11).
% 3.78/3.91 ** KEPT (pick-wt=2): 306 [] -empty($c13).
% 3.78/3.91 ** KEPT (pick-wt=11): 307 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 3.78/3.91 ** KEPT (pick-wt=11): 308 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 3.78/3.91 ** KEPT (pick-wt=16): 309 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 3.78/3.91 ** KEPT (pick-wt=10): 310 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 3.78/3.91 ** KEPT (pick-wt=10): 311 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 3.78/3.91 ** KEPT (pick-wt=5): 313 [copy,312,factor_simp] -ordinal(A)|ordinal_subset(A,A).
% 3.78/3.91 ** KEPT (pick-wt=6): 314 [] -disjoint(A,B)|disjoint(B,A).
% 3.78/3.91 Following clause subsumed by 296 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.78/3.91 Following clause subsumed by 297 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.78/3.91 Following clause subsumed by 298 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.78/3.91 ** KEPT (pick-wt=13): 315 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.78/3.91 ** KEPT (pick-wt=11): 316 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 3.78/3.91 ** KEPT (pick-wt=12): 317 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 3.78/3.91 ** KEPT (pick-wt=15): 318 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 3.78/3.91 ** KEPT (pick-wt=8): 319 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 3.78/3.91 ** KEPT (pick-wt=7): 320 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 3.78/3.91 ** KEPT (pick-wt=9): 321 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 3.78/3.91 ** KEPT (pick-wt=10): 322 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.78/3.91 ** KEPT (pick-wt=10): 323 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.78/3.91 ** KEPT (pick-wt=11): 324 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 3.78/3.91 ** KEPT (pick-wt=13): 325 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.78/3.91 ** KEPT (pick-wt=8): 326 [] -subset(A,B)|set_union2(A,B)=B.
% 3.78/3.91 ** KEPT (pick-wt=11): 327 [] -in(A,$f83(B))| -subset(C,A)|in(C,$f83(B)).
% 3.78/3.91 ** KEPT (pick-wt=9): 328 [] -in(A,$f83(B))|in(powerset(A),$f83(B)).
% 3.78/3.91 ** KEPT (pick-wt=12): 329 [] -subset(A,$f83(B))|are_e_quipotent(A,$f83(B))|in(A,$f83(B)).
% 3.78/3.91 ** KEPT (pick-wt=13): 331 [copy,330,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 3.78/3.91 ** KEPT (pick-wt=14): 332 [] -relation(A)| -in(B,relation_image(A,C))|in($f84(B,C,A),relation_dom(A)).
% 3.78/3.91 ** KEPT (pick-wt=15): 333 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f84(B,C,A),B),A).
% 3.78/3.91 ** KEPT (pick-wt=13): 334 [] -relation(A)| -in(B,relation_image(A,C))|in($f84(B,C,A),C).
% 3.78/3.91 ** KEPT (pick-wt=19): 335 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 3.78/3.91 ** KEPT (pick-wt=8): 336 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 3.78/3.91 ** KEPT (pick-wt=11): 337 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 3.78/3.91 ** KEPT (pick-wt=12): 339 [copy,338,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 3.78/3.91 ** KEPT (pick-wt=13): 340 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 3.78/3.91 ** KEPT (pick-wt=9): 342 [copy,341,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 3.78/3.91 ** KEPT (pick-wt=15): 343 [] -relation(A)| -function(A)| -subset(B,relation_rng(A))|relation_image(A,relation_inverse_image(A,B))=B.
% 3.78/3.91 ** KEPT (pick-wt=13): 344 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.78/3.91 ** KEPT (pick-wt=14): 345 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f85(B,C,A),relation_rng(A)).
% 3.78/3.91 ** KEPT (pick-wt=15): 346 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f85(B,C,A)),A).
% 3.78/3.91 ** KEPT (pick-wt=13): 347 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f85(B,C,A),C).
% 3.78/3.91 ** KEPT (pick-wt=19): 348 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 3.78/3.91 ** KEPT (pick-wt=8): 349 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 3.78/3.91 ** KEPT (pick-wt=14): 350 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 3.78/3.91 ** KEPT (pick-wt=12): 351 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 3.78/3.91 ** KEPT (pick-wt=11): 352 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.78/3.91 ** KEPT (pick-wt=6): 353 [] -in(A,B)|element(A,B).
% 3.78/3.91 ** KEPT (pick-wt=9): 354 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.78/3.91 ** KEPT (pick-wt=11): 355 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.78/3.91 ** KEPT (pick-wt=11): 356 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 3.78/3.91 ** KEPT (pick-wt=18): 357 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 3.78/3.91 ** KEPT (pick-wt=20): 358 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 3.78/3.91 ** KEPT (pick-wt=24): 359 [] -relation(A)| -function(A)| -relation(B)| -function(B)|in(C,relation_dom(relation_composition(B,A)))| -in(C,relation_dom(B))| -in(apply(B,C),relation_dom(A)).
% 3.78/3.91 ** KEPT (pick-wt=10): 360 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 3.78/3.91 ** KEPT (pick-wt=9): 361 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.78/3.91 ** KEPT (pick-wt=25): 362 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|apply(relation_composition(B,A),C)=apply(A,apply(B,C)).
% 3.78/3.91 ** KEPT (pick-wt=23): 363 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 3.78/3.91 ** KEPT (pick-wt=7): 364 [] -ordinal(A)| -in(B,A)|ordinal(B).
% 3.78/3.91 ** KEPT (pick-wt=13): 365 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 3.78/3.91 ** KEPT (pick-wt=12): 366 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.78/3.91 ** KEPT (pick-wt=12): 367 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.78/3.91 ** KEPT (pick-wt=10): 368 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.78/3.91 ** KEPT (pick-wt=8): 369 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.78/3.91 Following clause subsumed by 102 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.78/3.91 ** KEPT (pick-wt=13): 370 [] -in($f86(A,B),A)| -in($f86(A,B),B)|A=B.
% 3.78/3.91 ** KEPT (pick-wt=11): 371 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 3.78/3.91 ** KEPT (pick-wt=11): 372 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 3.78/3.91 ** KEPT (pick-wt=9): 373 [] -ordinal($f87(A))| -subset($f87(A),A)|ordinal(A).
% 3.78/3.91 ** KEPT (pick-wt=12): 374 [] -ordinal(A)| -subset(B,A)|B=empty_set|ordinal($f88(B,A)).
% 3.78/3.91 ** KEPT (pick-wt=13): 375 [] -ordinal(A)| -subset(B,A)|B=empty_set|in($f88(B,A),B).
% 3.78/3.91 ** KEPT (pick-wt=18): 376 [] -ordinal(A)| -subset(B,A)|B=empty_set| -ordinal(C)| -in(C,B)|ordinal_subset($f88(B,A),C).
% 3.78/3.91 ** KEPT (pick-wt=11): 377 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 3.78/3.91 ** KEPT (pick-wt=11): 378 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 3.78/3.92 ** KEPT (pick-wt=10): 379 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.78/3.92 ** KEPT (pick-wt=10): 380 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.78/3.92 ** KEPT (pick-wt=10): 381 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.78/3.92 ** KEPT (pick-wt=12): 382 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 3.78/3.92 ** KEPT (pick-wt=16): 383 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 3.78/3.92 ** KEPT (pick-wt=17): 384 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f89(B,A),B).
% 3.78/3.92 ** KEPT (pick-wt=21): 385 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f89(B,A))!=$f89(B,A).
% 3.78/3.92 ** KEPT (pick-wt=9): 386 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 3.78/3.92 ** KEPT (pick-wt=8): 387 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.78/3.92 ** KEPT (pick-wt=8): 389 [copy,388,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 3.78/3.92 Following clause subsumed by 279 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.78/3.92 Following clause subsumed by 280 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.78/3.92 Following clause subsumed by 277 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 3.78/3.92 Following clause subsumed by 278 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 3.78/3.92 ** KEPT (pick-wt=8): 390 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.78/3.92 ** KEPT (pick-wt=8): 391 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.78/3.92 ** KEPT (pick-wt=11): 392 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.78/3.92 Following clause subsumed by 293 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.78/3.92 Following clause subsumed by 294 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.78/3.92 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.78/3.92 ** KEPT (pick-wt=9): 393 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.78/3.92 ** KEPT (pick-wt=7): 394 [] -element(A,powerset(B))|subset(A,B).
% 3.78/3.92 ** KEPT (pick-wt=7): 395 [] element(A,powerset(B))| -subset(A,B).
% 3.78/3.92 ** KEPT (pick-wt=9): 396 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 3.78/3.92 ** KEPT (pick-wt=6): 397 [] -subset(A,empty_set)|A=empty_set.
% 3.78/3.92 ** KEPT (pick-wt=13): 398 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 3.78/3.92 ** KEPT (pick-wt=7): 399 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f91(A)).
% 3.78/3.92 ** KEPT (pick-wt=8): 400 [] -ordinal(A)|being_limit_ordinal(A)|in($f91(A),A).
% 3.78/3.92 ** KEPT (pick-wt=9): 401 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f91(A)),A).
% 3.78/3.92 ** KEPT (pick-wt=7): 402 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f92(A)).
% 3.78/3.92 ** KEPT (pick-wt=9): 404 [copy,403,flip.3] -ordinal(A)|being_limit_ordinal(A)|succ($f92(A))=A.
% 3.78/3.92 ** KEPT (pick-wt=10): 405 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 3.78/3.92 ** KEPT (pick-wt=16): 406 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 3.78/3.92 ** KEPT (pick-wt=16): 407 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 3.78/3.92 ** KEPT (pick-wt=11): 408 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.78/3.92 ** KEPT (pick-wt=11): 409 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.78/3.92 ** KEPT (pick-wt=10): 411 [copy,410,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 3.78/3.92 ** KEPT (pick-wt=16): 412 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.78/3.92 ** KEPT (pick-wt=13): 413 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 3.78/3.92 Following clause subsumed by 271 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.78/3.92 ** KEPT (pick-wt=16): 414 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.78/3.92 ** KEPT (pick-wt=21): 415 [] -element(A,powerset(powerset(B)))|A=empty_set|subset_difference(B,cast_to_subset(B),union_of_subsets(B,A))=meet_of_subsets(B,complements_of_subsets(B,A)).
% 3.78/3.98 ** KEPT (pick-wt=21): 416 [] -element(A,powerset(powerset(B)))|A=empty_set|union_of_subsets(B,complements_of_subsets(B,A))=subset_difference(B,cast_to_subset(B),meet_of_subsets(B,A)).
% 3.78/3.98 ** KEPT (pick-wt=10): 417 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.78/3.98 ** KEPT (pick-wt=8): 418 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 3.78/3.98 ** KEPT (pick-wt=18): 419 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.78/3.98 ** KEPT (pick-wt=19): 420 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.78/3.98 ** KEPT (pick-wt=27): 421 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 3.78/3.98 ** KEPT (pick-wt=28): 422 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 3.78/3.98 ** KEPT (pick-wt=27): 423 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|in(D,relation_rng(A)).
% 3.78/3.98 ** KEPT (pick-wt=28): 424 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|C=apply(B,D).
% 3.78/3.98 ** KEPT (pick-wt=31): 425 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f95(A,B),relation_rng(A))|in($f94(A,B),relation_dom(A)).
% 3.78/3.98 ** KEPT (pick-wt=34): 427 [copy,426,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f95(A,B),relation_rng(A))|apply(A,$f94(A,B))=$f95(A,B).
% 3.78/3.98 ** KEPT (pick-wt=34): 429 [copy,428,flip.8] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f95(A,B))=$f94(A,B)|in($f94(A,B),relation_dom(A)).
% 3.78/3.98 ** KEPT (pick-wt=37): 431 [copy,430,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f95(A,B))=$f94(A,B)|apply(A,$f94(A,B))=$f95(A,B).
% 3.78/3.98 ** KEPT (pick-wt=49): 433 [copy,432,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f94(A,B),relation_dom(A))|apply(A,$f94(A,B))!=$f95(A,B)| -in($f95(A,B),relation_rng(A))|apply(B,$f95(A,B))!=$f94(A,B).
% 3.78/3.98 ** KEPT (pick-wt=12): 434 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 3.78/3.98 ** KEPT (pick-wt=12): 435 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.78/3.98 ** KEPT (pick-wt=12): 437 [copy,436,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 3.78/3.98 ** KEPT (pick-wt=12): 438 [] -relation(A)|in(ordered_pair($f97(A),$f96(A)),A)|A=empty_set.
% 3.78/3.98 ** KEPT (pick-wt=18): 440 [copy,439,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 3.78/3.98 ** KEPT (pick-wt=18): 442 [copy,441,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 3.78/3.98 ** KEPT (pick-wt=9): 443 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.78/3.98 ** KEPT (pick-wt=6): 444 [] -subset(A,B)| -proper_subset(B,A).
% 3.78/3.98 ** KEPT (pick-wt=9): 445 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.78/3.98 ** KEPT (pick-wt=9): 446 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.78/3.98 ** KEPT (pick-wt=9): 447 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.78/3.98 ** KEPT (pick-wt=9): 448 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.78/3.98 ** KEPT (pick-wt=10): 449 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.78/3.98 ** KEPT (pick-wt=10): 450 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.78/3.98 ** KEPT (pick-wt=9): 451 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.87/3.98 ** KEPT (pick-wt=20): 452 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 3.87/3.98 ** KEPT (pick-wt=24): 453 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)| -in(D,relation_dom(A))|apply(A,D)=apply(B,D).
% 3.87/3.98 ** KEPT (pick-wt=27): 454 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f98(C,A,B),relation_dom(A)).
% 3.87/3.98 ** KEPT (pick-wt=33): 455 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|apply(A,$f98(C,A,B))!=apply(B,$f98(C,A,B)).
% 3.87/3.98 ** KEPT (pick-wt=5): 456 [] -empty(A)|A=empty_set.
% 3.87/3.98 ** KEPT (pick-wt=8): 457 [] -subset(singleton(A),singleton(B))|A=B.
% 3.87/3.98 ** KEPT (pick-wt=19): 458 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.87/3.98 ** KEPT (pick-wt=16): 459 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.87/3.98 ** KEPT (pick-wt=13): 460 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 3.87/3.98 ** KEPT (pick-wt=15): 461 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 3.87/3.98 ** KEPT (pick-wt=18): 462 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 3.87/3.98 ** KEPT (pick-wt=5): 463 [] -in(A,B)| -empty(B).
% 3.87/3.98 ** KEPT (pick-wt=8): 464 [] -in(A,B)|in($f99(A,B),B).
% 3.87/3.98 ** KEPT (pick-wt=11): 465 [] -in(A,B)| -in(C,B)| -in(C,$f99(A,B)).
% 3.87/3.98 ** KEPT (pick-wt=8): 466 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.87/3.98 ** KEPT (pick-wt=8): 467 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.87/3.98 ** KEPT (pick-wt=11): 468 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.87/3.98 ** KEPT (pick-wt=12): 469 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.87/3.98 ** KEPT (pick-wt=15): 470 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 3.87/3.98 ** KEPT (pick-wt=7): 471 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 3.87/3.98 ** KEPT (pick-wt=7): 472 [] -empty(A)|A=B| -empty(B).
% 3.87/3.98 Following clause subsumed by 355 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.87/3.98 ** KEPT (pick-wt=14): 473 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 3.87/3.98 Following clause subsumed by 135 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 3.87/3.98 ** KEPT (pick-wt=11): 474 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.87/3.98 ** KEPT (pick-wt=9): 475 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.87/3.98 ** KEPT (pick-wt=11): 476 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 3.87/3.98 Following clause subsumed by 295 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 3.87/3.98 ** KEPT (pick-wt=10): 477 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 3.87/3.98 ** KEPT (pick-wt=9): 478 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 3.87/3.98 ** KEPT (pick-wt=11): 479 [] -in(A,$f101(B))| -subset(C,A)|in(C,$f101(B)).
% 3.87/3.98 ** KEPT (pick-wt=10): 480 [] -in(A,$f101(B))|in($f100(B,A),$f101(B)).
% 3.87/3.98 ** KEPT (pick-wt=12): 481 [] -in(A,$f101(B))| -subset(C,A)|in(C,$f100(B,A)).
% 3.87/3.98 ** KEPT (pick-wt=12): 482 [] -subset(A,$f101(B))|are_e_quipotent(A,$f101(B))|in(A,$f101(B)).
% 3.87/3.98 ** KEPT (pick-wt=9): 483 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.87/3.98 129 back subsumes 126.
% 3.87/3.98 353 back subsumes 103.
% 3.87/3.98 468 back subsumes 301.
% 3.87/3.98 469 back subsumes 300.
% 3.87/3.98 470 back subsumes 302.
% 3.87/3.98 473 back subsumes 136.
% 3.87/3.98 489 back subsumes 488.
% 3.87/3.98 497 back subsumes 496.
% 3.87/3.98
% 3.87/3.98 ------------> process sos:
% 3.87/3.98 ** KEPT (pick-wt=3): 636 [] A=A.
% 3.87/3.98 ** KEPT (pick-wt=7): 637 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.87/3.98 ** KEPT (pick-wt=7): 638 [] set_union2(A,B)=set_union2(B,A).
% 3.87/3.98 ** KEPT (pick-wt=7): 639 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.87/3.98 ** KEPT (pick-wt=34): 640 [] A=unordered_triple(B,C,D)|in($f17(B,C,D,A),A)|$f17(B,C,D,A)=B|$f17(B,C,D,A)=C|$f17(B,C,D,A)=D.
% 3.87/3.98 ** KEPT (pick-wt=7): 641 [] succ(A)=set_union2(A,singleton(A)).
% 3.87/3.98 ---> New Demodulator: 642 [new_demod,641] succ(A)=set_union2(A,singleton(A)).
% 3.87/3.98 ** KEPT (pick-wt=6): 643 [] relation(A)|in($f20(A),A).
% 3.87/3.98 ** KEPT (pick-wt=14): 644 [] A=singleton(B)|in($f25(B,A),A)|$f25(B,A)=B.
% 3.87/3.98 ** KEPT (pick-wt=7): 645 [] A=empty_set|in($f26(A),A).
% 3.87/3.98 ** KEPT (pick-wt=14): 646 [] A=powerset(B)|in($f27(B,A),A)|subset($f27(B,A),B).
% 3.87/3.98 ** KEPT (pick-wt=6): 647 [] epsilon_transitive(A)|in($f28(A),A).
% 3.87/3.98 ** KEPT (pick-wt=23): 648 [] A=unordered_pair(B,C)|in($f31(B,C,A),A)|$f31(B,C,A)=B|$f31(B,C,A)=C.
% 3.87/3.98 ** KEPT (pick-wt=23): 649 [] A=set_union2(B,C)|in($f32(B,C,A),A)|in($f32(B,C,A),B)|in($f32(B,C,A),C).
% 3.87/3.98 ** KEPT (pick-wt=17): 650 [] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|in($f36(B,C,A),B).
% 3.87/3.98 ** KEPT (pick-wt=17): 651 [] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|in($f35(B,C,A),C).
% 3.87/3.98 ** KEPT (pick-wt=25): 653 [copy,652,flip.3] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|ordered_pair($f36(B,C,A),$f35(B,C,A))=$f37(B,C,A).
% 3.87/3.98 ** KEPT (pick-wt=6): 654 [] epsilon_connected(A)|in($f39(A),A).
% 3.87/3.98 ** KEPT (pick-wt=6): 655 [] epsilon_connected(A)|in($f38(A),A).
% 3.87/3.98 ** KEPT (pick-wt=8): 656 [] subset(A,B)|in($f42(A,B),A).
% 3.87/3.98 ** KEPT (pick-wt=17): 657 [] A=set_intersection2(B,C)|in($f43(B,C,A),A)|in($f43(B,C,A),B).
% 3.87/3.98 ** KEPT (pick-wt=17): 658 [] A=set_intersection2(B,C)|in($f43(B,C,A),A)|in($f43(B,C,A),C).
% 3.87/3.98 ** KEPT (pick-wt=4): 659 [] cast_to_subset(A)=A.
% 3.87/3.98 ---> New Demodulator: 660 [new_demod,659] cast_to_subset(A)=A.
% 3.87/3.98 ** KEPT (pick-wt=16): 661 [] A=union(B)|in($f51(B,A),A)|in($f51(B,A),$f50(B,A)).
% 3.87/3.98 ** KEPT (pick-wt=14): 662 [] A=union(B)|in($f51(B,A),A)|in($f50(B,A),B).
% 3.87/3.98 ** KEPT (pick-wt=17): 663 [] A=set_difference(B,C)|in($f52(B,C,A),A)|in($f52(B,C,A),B).
% 3.87/3.98 ** KEPT (pick-wt=10): 665 [copy,664,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.87/3.98 ---> New Demodulator: 666 [new_demod,665] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.87/3.98 ** KEPT (pick-wt=4): 668 [copy,667,demod,660] element(A,powerset(A)).
% 3.87/3.98 ** KEPT (pick-wt=3): 669 [] relation(identity_relation(A)).
% 3.87/3.98 ** KEPT (pick-wt=4): 670 [] element($f73(A),A).
% 3.87/3.98 ** KEPT (pick-wt=2): 671 [] empty(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=2): 672 [] relation(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=2): 673 [] relation_empty_yielding(empty_set).
% 3.87/3.98 Following clause subsumed by 671 during input processing: 0 [] empty(empty_set).
% 3.87/3.98 Following clause subsumed by 669 during input processing: 0 [] relation(identity_relation(A)).
% 3.87/3.98 ** KEPT (pick-wt=3): 674 [] function(identity_relation(A)).
% 3.87/3.98 Following clause subsumed by 672 during input processing: 0 [] relation(empty_set).
% 3.87/3.98 Following clause subsumed by 673 during input processing: 0 [] relation_empty_yielding(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=2): 675 [] function(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=2): 676 [] one_to_one(empty_set).
% 3.87/3.98 Following clause subsumed by 671 during input processing: 0 [] empty(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=2): 677 [] epsilon_transitive(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=2): 678 [] epsilon_connected(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=2): 679 [] ordinal(empty_set).
% 3.87/3.98 Following clause subsumed by 671 during input processing: 0 [] empty(empty_set).
% 3.87/3.98 Following clause subsumed by 672 during input processing: 0 [] relation(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=5): 680 [] set_union2(A,A)=A.
% 3.87/3.98 ---> New Demodulator: 681 [new_demod,680] set_union2(A,A)=A.
% 3.87/3.98 ** KEPT (pick-wt=5): 682 [] set_intersection2(A,A)=A.
% 3.87/3.98 ---> New Demodulator: 683 [new_demod,682] set_intersection2(A,A)=A.
% 3.87/3.98 ** KEPT (pick-wt=7): 684 [] in(A,B)|disjoint(singleton(A),B).
% 3.87/3.98 ** KEPT (pick-wt=2): 685 [] relation($c3).
% 3.87/3.98 ** KEPT (pick-wt=9): 686 [] in($f80(A,B),A)|element(A,powerset(B)).
% 3.87/3.98 ** KEPT (pick-wt=2): 687 [] relation($c4).
% 3.87/3.98 ** KEPT (pick-wt=2): 688 [] function($c4).
% 3.87/3.98 ** KEPT (pick-wt=2): 689 [] epsilon_transitive($c5).
% 3.87/3.98 ** KEPT (pick-wt=2): 690 [] epsilon_connected($c5).
% 3.87/3.98 ** KEPT (pick-wt=2): 691 [] ordinal($c5).
% 3.87/3.98 ** KEPT (pick-wt=2): 692 [] empty($c6).
% 3.87/3.98 ** KEPT (pick-wt=2): 693 [] relation($c6).
% 3.87/3.98 ** KEPT (pick-wt=7): 694 [] empty(A)|element($f81(A),powerset(A)).
% 3.87/3.98 ** KEPT (pick-wt=2): 695 [] empty($c7).
% 3.87/3.98 ** KEPT (pick-wt=2): 696 [] relation($c8).
% 3.87/3.98 ** KEPT (pick-wt=2): 697 [] empty($c8).
% 3.87/3.98 ** KEPT (pick-wt=2): 698 [] function($c8).
% 3.87/3.98 ** KEPT (pick-wt=2): 699 [] relation($c9).
% 3.87/3.98 ** KEPT (pick-wt=2): 700 [] function($c9).
% 3.87/3.98 ** KEPT (pick-wt=2): 701 [] one_to_one($c9).
% 3.87/3.98 ** KEPT (pick-wt=2): 702 [] empty($c9).
% 3.87/3.98 ** KEPT (pick-wt=2): 703 [] epsilon_transitive($c9).
% 3.87/3.98 ** KEPT (pick-wt=2): 704 [] epsilon_connected($c9).
% 3.87/3.98 ** KEPT (pick-wt=2): 705 [] ordinal($c9).
% 3.87/3.98 ** KEPT (pick-wt=2): 706 [] relation($c10).
% 3.87/3.98 ** KEPT (pick-wt=5): 707 [] element($f82(A),powerset(A)).
% 3.87/3.98 ** KEPT (pick-wt=3): 708 [] empty($f82(A)).
% 3.87/3.98 ** KEPT (pick-wt=2): 709 [] relation($c12).
% 3.87/3.98 ** KEPT (pick-wt=2): 710 [] function($c12).
% 3.87/3.98 ** KEPT (pick-wt=2): 711 [] one_to_one($c12).
% 3.87/3.98 ** KEPT (pick-wt=2): 712 [] epsilon_transitive($c13).
% 3.87/3.98 ** KEPT (pick-wt=2): 713 [] epsilon_connected($c13).
% 3.87/3.98 ** KEPT (pick-wt=2): 714 [] ordinal($c13).
% 3.87/3.98 ** KEPT (pick-wt=2): 715 [] relation($c14).
% 3.87/3.98 ** KEPT (pick-wt=2): 716 [] relation_empty_yielding($c14).
% 3.87/3.98 ** KEPT (pick-wt=2): 717 [] relation($c15).
% 3.87/3.98 ** KEPT (pick-wt=2): 718 [] relation_empty_yielding($c15).
% 3.87/3.98 ** KEPT (pick-wt=2): 719 [] function($c15).
% 3.87/3.98 ** KEPT (pick-wt=3): 720 [] subset(A,A).
% 3.87/3.98 ** KEPT (pick-wt=6): 722 [copy,721,demod,642] in(A,set_union2(A,singleton(A))).
% 3.87/3.98 ** KEPT (pick-wt=4): 723 [] in(A,$f83(A)).
% 3.87/3.98 ** KEPT (pick-wt=5): 724 [] subset(set_intersection2(A,B),A).
% 3.87/3.98 ** KEPT (pick-wt=5): 725 [] set_union2(A,empty_set)=A.
% 3.87/3.98 ---> New Demodulator: 726 [new_demod,725] set_union2(A,empty_set)=A.
% 3.87/3.98 ** KEPT (pick-wt=5): 728 [copy,727,flip.1] singleton(empty_set)=powerset(empty_set).
% 3.87/3.98 ---> New Demodulator: 729 [new_demod,728] singleton(empty_set)=powerset(empty_set).
% 3.87/3.98 ** KEPT (pick-wt=5): 730 [] set_intersection2(A,empty_set)=empty_set.
% 3.87/3.98 ---> New Demodulator: 731 [new_demod,730] set_intersection2(A,empty_set)=empty_set.
% 3.87/3.98 ** KEPT (pick-wt=13): 732 [] in($f86(A,B),A)|in($f86(A,B),B)|A=B.
% 3.87/3.98 ** KEPT (pick-wt=3): 733 [] subset(empty_set,A).
% 3.87/3.98 ** KEPT (pick-wt=6): 734 [] in($f87(A),A)|ordinal(A).
% 3.87/3.98 ** KEPT (pick-wt=5): 735 [] subset(set_difference(A,B),A).
% 3.87/3.98 ** KEPT (pick-wt=9): 736 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.87/3.98 ---> New Demodulator: 737 [new_demod,736] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.87/3.98 ** KEPT (pick-wt=5): 738 [] set_difference(A,empty_set)=A.
% 3.87/3.98 ---> New Demodulator: 739 [new_demod,738] set_difference(A,empty_set)=A.
% 3.87/3.98 ** KEPT (pick-wt=8): 740 [] disjoint(A,B)|in($f90(A,B),A).
% 3.87/3.98 ** KEPT (pick-wt=8): 741 [] disjoint(A,B)|in($f90(A,B),B).
% 3.87/3.98 ** KEPT (pick-wt=9): 742 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.87/3.98 ---> New Demodulator: 743 [new_demod,742] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.87/3.98 ** KEPT (pick-wt=9): 745 [copy,744,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.87/3.98 ---> New Demodulator: 746 [new_demod,745] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.87/3.98 ** KEPT (pick-wt=5): 747 [] set_difference(empty_set,A)=empty_set.
% 3.87/3.99 ---> New Demodulator: 748 [new_demod,747] set_difference(empty_set,A)=empty_set.
% 3.87/3.99 ** KEPT (pick-wt=12): 750 [copy,749,demod,746] disjoint(A,B)|in($f93(A,B),set_difference(A,set_difference(A,B))).
% 3.87/3.99 ** KEPT (pick-wt=4): 751 [] relation_dom(empty_set)=empty_set.
% 3.87/3.99 ---> New Demodulator: 752 [new_demod,751] relation_dom(empty_set)=empty_set.
% 3.87/3.99 ** KEPT (pick-wt=4): 753 [] relation_rng(empty_set)=empty_set.
% 3.87/3.99 ---> New Demodulator: 754 [new_demod,753] relation_rng(empty_set)=empty_set.
% 3.87/3.99 ** KEPT (pick-wt=9): 755 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.87/3.99 ** KEPT (pick-wt=6): 757 [copy,756,flip.1] singleton(A)=unordered_pair(A,A).
% 3.87/3.99 ---> New Demodulator: 758 [new_demod,757] singleton(A)=unordered_pair(A,A).
% 3.87/3.99 ** KEPT (pick-wt=5): 759 [] relation_dom(identity_relation(A))=A.
% 3.87/3.99 ---> New Demodulator: 760 [new_demod,759] relation_dom(identity_relation(A))=A.
% 3.87/3.99 ** KEPT (pick-wt=5): 761 [] relation_rng(identity_relation(A))=A.
% 3.87/3.99 ---> New Demodulator: 762 [new_demod,761] relation_rng(identity_relation(A))=A.
% 3.87/3.99 ** KEPT (pick-wt=5): 763 [] subset(A,set_union2(A,B)).
% 3.87/3.99 ** KEPT (pick-wt=5): 764 [] union(powerset(A))=A.
% 3.87/3.99 ---> New Demodulator: 765 [new_demod,764] union(powerset(A))=A.
% 3.87/3.99 ** KEPT (pick-wt=4): 766 [] in(A,$f101(A)).
% 3.87/3.99 Following clause subsumed by 636 during input processing: 0 [copy,636,flip.1] A=A.
% 3.87/3.99 636 back subsumes 622.
% 3.87/3.99 636 back subsumes 617.
% 3.87/3.99 636 back subsumes 594.
% 3.87/3.99 636 back subsumes 591.
% 3.87/3.99 636 back subsumes 575.
% 3.87/3.99 636 back subsumes 574.
% 3.87/3.99 636 back subsumes 537.
% 3.87/3.99 636 back subsumes 533.
% 3.87/3.99 636 back subsumes 527.
% 3.87/3.99 636 back subsumes 520.
% 3.87/3.99 636 back subsumes 510.
% 3.87/3.99 636 back subsumes 509.
% 3.87/3.99 636 back subsumes 486.
% 3.87/3.99 Following clause subsumed by 637 during input processing: 0 [copy,637,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 3.87/3.99 Following clause subsumed by 638 during input processing: 0 [copy,638,flip.1] set_union2(A,B)=set_union2(B,A).
% 3.87/3.99 ** KEPT (pick-wt=11): 767 [copy,639,flip.1,demod,746,746] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 3.87/3.99 >>>> Starting back demodulation with 642.
% 3.87/3.99 >> back demodulating 599 with 642.
% 3.87/3.99 >> back demodulating 596 with 642.
% 3.87/3.99 >> back demodulating 405 with 642.
% 3.87/3.99 >> back demodulating 404 with 642.
% 3.87/3.99 >> back demodulating 401 with 642.
% 3.87/3.99 >> back demodulating 398 with 642.
% 3.87/3.99 >> back demodulating 378 with 642.
% 3.87/3.99 >> back demodulating 377 with 642.
% 3.87/3.99 >> back demodulating 246 with 642.
% 3.87/3.99 >> back demodulating 245 with 642.
% 3.87/3.99 >> back demodulating 244 with 642.
% 3.87/3.99 >> back demodulating 236 with 642.
% 3.87/3.99 >>>> Starting back demodulation with 660.
% 3.87/3.99 >> back demodulating 416 with 660.
% 3.87/3.99 >> back demodulating 415 with 660.
% 3.87/3.99 >>>> Starting back demodulation with 666.
% 3.87/3.99 >>>> Starting back demodulation with 681.
% 3.87/3.99 >> back demodulating 623 with 681.
% 3.87/3.99 >> back demodulating 571 with 681.
% 3.87/3.99 >> back demodulating 513 with 681.
% 3.87/3.99 >>>> Starting back demodulation with 683.
% 3.87/3.99 >> back demodulating 627 with 683.
% 3.87/3.99 >> back demodulating 585 with 683.
% 3.87/3.99 >> back demodulating 570 with 683.
% 3.87/3.99 >> back demodulating 526 with 683.
% 3.87/3.99 >> back demodulating 523 with 683.
% 3.87/3.99 720 back subsumes 593.
% 3.87/3.99 720 back subsumes 592.
% 3.87/3.99 720 back subsumes 578.
% 3.87/3.99 720 back subsumes 522.
% 3.87/3.99 720 back subsumes 521.
% 3.87/3.99 >>>> Starting back demodulation with 726.
% 3.87/3.99 >>>> Starting back demodulation with 729.
% 3.87/3.99 >>>> Starting back demodulation with 731.
% 3.87/3.99 >>>> Starting back demodulation with 737.
% 3.87/3.99 >> back demodulating 411 with 737.
% 3.87/3.99 >>>> Starting back demodulation with 739.
% 3.87/3.99 >>>> Starting back demodulation with 743.
% 3.87/3.99 >>>> Starting back demodulation with 746.
% 3.87/3.99 >> back demodulating 730 with 746.
% 3.87/3.99 >> back demodulating 724 with 746.
% 3.87/3.99 >> back demodulating 682 with 746.
% 3.87/3.99 >> back demodulating 658 with 746.
% 3.87/3.99 >> back demodulating 657 with 746.
% 3.87/3.99 >> back demodulating 639 with 746.
% 3.87/3.99 >> back demodulating 619 with 746.
% 3.87/3.99 >> back demodulating 618 with 746.
% 3.87/3.99 >> back demodulating 616 with 746.
% 3.87/3.99 >> back demodulating 525 with 746.
% 3.87/3.99 >> back demodulating 524 with 746.
% 3.87/3.99 >> back demodulating 476 with 746.
% 3.87/3.99 >> back demodulating 455 with 746.
% 3.87/3.99 >> back demodulating 454 with 746.
% 3.87/3.99 >> back demodulating 452 with 746.
% 3.87/3.99 >> back demodulating 418 with 746.
% 3.87/3.99 >> back demodulating 369 with 746.
% 3.87/3.99 >> back demodulating 368 with 746.
% 3.87/3.99 >> back demodulating 352 with 746.
% 3.87/3.99 >> back demodulating 339 with 746.
% 3.87/3.99 >> back demodulating 324 with 746.
% 3.87/3.99 >> back demodulating 237 with 746.
% 3.87/3.99 >> back demodulating 188 with 746.
% 3.87/3.99 >> back demodulating 187 with 746.
% 3.87/3.99 >> back demodulating 134 with 746.
% 3.87/3.99 >> back demodulating 133 with 746.
% 3.87/3.99 >> back demodulating 132 with 746.
% 3.87/3.99 >> back demodulating 131 with 746.
% 3.87/3.99 >>>> Starting back demodulation with 748.
% 3.87/3.99 >>>> Starting back demodulation with 752.
% 3.87/3.99 >>>> Starting back demodulation with 754.
% 3.87/3.99 >>>> Starting back demodulation with 758.
% 3.87/3.99 >> back demodulating 755 with 758.
% 3.87/3.99 >> back demodulating 728 with 758.
% 3.87/3.99 >> back demodulating 722 with 758.
% 3.87/3.99 >> back demodulating 684 with 758.
% 3.87/3.99 >> back demodulating 665 with 758.
% 3.87/3.99 >> back demodulating 644 with 758.
% 3.87/3.99 >> back demodulating 641 with 758.
% 3.87/3.99 >> back demodulating 483 with 758.
% 3.87/3.99 >> back demodulating 475 with 758.
% 3.87/3.99 >> back demodulating 457 with 758.
% 38.28/38.47 >> back demodulating 451 with 758.
% 38.28/38.47 >> back demodulating 294 with 758.
% 38.28/38.47 >> back demodulating 293 with 758.
% 38.28/38.47 >> back demodulating 286 with 758.
% 38.28/38.47 >> back demodulating 278 with 758.
% 38.28/38.47 >> back demodulating 277 with 758.
% 38.28/38.47 >> back demodulating 272 with 758.
% 38.28/38.47 >> back demodulating 271 with 758.
% 38.28/38.47 >> back demodulating 270 with 758.
% 38.28/38.47 >> back demodulating 241 with 758.
% 38.28/38.47 >> back demodulating 91 with 758.
% 38.28/38.47 >> back demodulating 90 with 758.
% 38.28/38.47 >> back demodulating 89 with 758.
% 38.28/38.47 >>>> Starting back demodulation with 760.
% 38.28/38.47 >>>> Starting back demodulation with 762.
% 38.28/38.47 >>>> Starting back demodulation with 765.
% 38.28/38.47 Following clause subsumed by 767 during input processing: 0 [copy,767,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 38.28/38.47 792 back subsumes 98.
% 38.28/38.47 794 back subsumes 99.
% 38.28/38.47 >>>> Starting back demodulation with 796.
% 38.28/38.47 >> back demodulating 577 with 796.
% 38.28/38.47 >> back demodulating 572 with 796.
% 38.28/38.47 >>>> Starting back demodulation with 821.
% 38.28/38.47 >>>> Starting back demodulation with 825.
% 38.28/38.47 >>>> Starting back demodulation with 828.
% 38.28/38.47
% 38.28/38.47 ======= end of input processing =======
% 38.28/38.47
% 38.28/38.47 =========== start of search ===========
% 38.28/38.47
% 38.28/38.47
% 38.28/38.47 Resetting weight limit to 2.
% 38.28/38.47
% 38.28/38.47
% 38.28/38.47 Resetting weight limit to 2.
% 38.28/38.47
% 38.28/38.47 sos_size=161
% 38.28/38.47
% 38.28/38.47 Search stopped because sos empty.
% 38.28/38.47
% 38.28/38.47
% 38.28/38.47 Search stopped because sos empty.
% 38.28/38.47
% 38.28/38.47 ============ end of search ============
% 38.28/38.47
% 38.28/38.47 -------------- statistics -------------
% 38.28/38.47 clauses given 177
% 38.28/38.47 clauses generated 1462708
% 38.28/38.47 clauses kept 801
% 38.28/38.47 clauses forward subsumed 369
% 38.28/38.47 clauses back subsumed 28
% 38.28/38.47 Kbytes malloced 10742
% 38.28/38.47
% 38.28/38.47 ----------- times (seconds) -----------
% 38.28/38.47 user CPU time 34.62 (0 hr, 0 min, 34 sec)
% 38.28/38.47 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 38.28/38.47 wall-clock time 38 (0 hr, 0 min, 38 sec)
% 38.28/38.47
% 38.28/38.47 Process 30570 finished Wed Jul 27 08:01:58 2022
% 38.28/38.47 Otter interrupted
% 38.28/38.47 PROOF NOT FOUND
%------------------------------------------------------------------------------