TSTP Solution File: SEU241+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:15:18 EDT 2022
% Result : Unknown 38.59s 38.75s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU241+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:46:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.88/4.03 ----- Otter 3.3f, August 2004 -----
% 3.88/4.03 The process was started by sandbox2 on n019.cluster.edu,
% 3.88/4.03 Wed Jul 27 07:46:07 2022
% 3.88/4.03 The command was "./otter". The process ID is 15289.
% 3.88/4.03
% 3.88/4.03 set(prolog_style_variables).
% 3.88/4.03 set(auto).
% 3.88/4.03 dependent: set(auto1).
% 3.88/4.03 dependent: set(process_input).
% 3.88/4.03 dependent: clear(print_kept).
% 3.88/4.03 dependent: clear(print_new_demod).
% 3.88/4.03 dependent: clear(print_back_demod).
% 3.88/4.03 dependent: clear(print_back_sub).
% 3.88/4.03 dependent: set(control_memory).
% 3.88/4.03 dependent: assign(max_mem, 12000).
% 3.88/4.03 dependent: assign(pick_given_ratio, 4).
% 3.88/4.03 dependent: assign(stats_level, 1).
% 3.88/4.03 dependent: assign(max_seconds, 10800).
% 3.88/4.03 clear(print_given).
% 3.88/4.03
% 3.88/4.03 formula_list(usable).
% 3.88/4.03 all A (A=A).
% 3.88/4.03 all A B (in(A,B)-> -in(B,A)).
% 3.88/4.03 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 3.88/4.03 all A (empty(A)->function(A)).
% 3.88/4.03 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 3.88/4.03 all A (empty(A)->relation(A)).
% 3.88/4.03 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 3.88/4.03 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 3.88/4.03 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.88/4.03 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 3.88/4.03 all A B (set_union2(A,B)=set_union2(B,A)).
% 3.88/4.03 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 3.88/4.03 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,B)|ordinal_subset(B,A)).
% 3.88/4.03 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 3.88/4.03 all A B (A=B<->subset(A,B)&subset(B,A)).
% 3.88/4.03 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))))))).
% 3.88/4.03 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)))))))).
% 3.88/4.03 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))))))).
% 3.88/4.03 all A (relation(A)-> (antisymmetric(A)<->is_antisymmetric_in(A,relation_field(A)))).
% 3.88/4.03 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)))))).
% 3.88/4.03 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)))))))).
% 3.88/4.03 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)))))))).
% 3.88/4.03 all A (relation(A)-> (transitive(A)<->is_transitive_in(A,relation_field(A)))).
% 3.88/4.03 all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 3.88/4.03 all A (succ(A)=set_union2(A,singleton(A))).
% 3.88/4.03 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 3.88/4.03 all A (relation(A)-> (all B (is_reflexive_in(A,B)<-> (all C (in(C,B)->in(ordered_pair(C,C),A)))))).
% 3.88/4.03 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))).
% 3.88/4.03 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 3.88/4.03 all A (A=empty_set<-> (all B (-in(B,A)))).
% 3.88/4.03 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 3.88/4.03 all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 3.88/4.03 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))))))).
% 3.88/4.03 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 3.88/4.03 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 3.88/4.03 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 3.88/4.03 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)))))).
% 3.88/4.03 all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 3.88/4.03 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))))))).
% 3.88/4.03 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 3.88/4.03 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 3.88/4.03 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))))).
% 3.88/4.03 all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 3.88/4.03 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 3.88/4.03 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))))).
% 3.88/4.03 all A (cast_to_subset(A)=A).
% 3.88/4.03 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 3.88/4.03 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 3.88/4.03 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)))))))).
% 3.88/4.03 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 3.88/4.03 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 3.88/4.03 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 3.88/4.03 all A (being_limit_ordinal(A)<->A=union(A)).
% 3.88/4.03 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 3.88/4.03 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))))))).
% 3.88/4.03 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 3.88/4.03 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)))).
% 3.88/4.03 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))))))))))).
% 3.88/4.03 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)))))).
% 3.88/4.03 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)))))))).
% 3.88/4.03 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 3.88/4.03 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 3.88/4.03 all A (relation(A)-> (reflexive(A)<->is_reflexive_in(A,relation_field(A)))).
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 3.88/4.03 $T.
% 3.88/4.03 all A element(cast_to_subset(A),powerset(A)).
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 all A (relation(A)->relation(relation_inverse(A))).
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 3.88/4.03 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 3.88/4.03 all A relation(identity_relation(A)).
% 3.88/4.03 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 3.88/4.03 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 3.88/4.03 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 3.88/4.03 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 3.88/4.03 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 3.88/4.03 $T.
% 3.88/4.03 $T.
% 3.88/4.03 all A exists B element(B,A).
% 3.88/4.03 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 3.88/4.03 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 3.88/4.03 empty(empty_set).
% 3.88/4.03 relation(empty_set).
% 3.88/4.03 relation_empty_yielding(empty_set).
% 3.88/4.03 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 3.88/4.03 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 3.88/4.03 all A (-empty(succ(A))).
% 3.88/4.03 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 3.88/4.03 all A (-empty(powerset(A))).
% 3.88/4.03 empty(empty_set).
% 3.88/4.03 all A B (-empty(ordered_pair(A,B))).
% 3.88/4.03 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 3.88/4.03 relation(empty_set).
% 3.88/4.03 relation_empty_yielding(empty_set).
% 3.88/4.03 function(empty_set).
% 3.88/4.03 one_to_one(empty_set).
% 3.88/4.03 empty(empty_set).
% 3.88/4.03 epsilon_transitive(empty_set).
% 3.88/4.03 epsilon_connected(empty_set).
% 3.88/4.03 ordinal(empty_set).
% 3.88/4.03 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 3.88/4.03 all A (-empty(singleton(A))).
% 3.88/4.03 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 3.88/4.03 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 3.88/4.03 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 3.88/4.03 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 3.88/4.03 all A B (-empty(unordered_pair(A,B))).
% 3.88/4.03 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 3.88/4.03 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 3.88/4.03 all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 3.88/4.03 empty(empty_set).
% 3.88/4.03 relation(empty_set).
% 3.88/4.03 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.88/4.03 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 3.88/4.03 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 3.88/4.03 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 3.88/4.03 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 3.88/4.03 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 3.88/4.03 all A B (set_union2(A,A)=A).
% 3.88/4.03 all A B (set_intersection2(A,A)=A).
% 3.88/4.03 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 3.88/4.03 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 3.88/4.03 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 3.88/4.03 all A B (-proper_subset(A,A)).
% 3.88/4.03 all A (relation(A)-> (reflexive(A)<-> (all B (in(B,relation_field(A))->in(ordered_pair(B,B),A))))).
% 3.88/4.03 all A (singleton(A)!=empty_set).
% 3.88/4.03 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.88/4.03 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 3.88/4.03 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 3.88/4.03 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))))).
% 3.88/4.03 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.88/4.03 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.88/4.03 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 3.88/4.03 -(all A (relation(A)-> (antisymmetric(A)<-> (all B C (in(ordered_pair(B,C),A)&in(ordered_pair(C,B),A)->B=C))))).
% 3.88/4.03 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 3.88/4.03 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.88/4.03 all A B (in(A,B)->subset(A,union(B))).
% 3.88/4.03 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.88/4.03 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 3.88/4.03 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))).
% 3.88/4.03 exists A (relation(A)&function(A)).
% 3.88/4.03 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.88/4.03 exists A (empty(A)&relation(A)).
% 3.88/4.03 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.88/4.03 exists A empty(A).
% 3.88/4.03 exists A (relation(A)&empty(A)&function(A)).
% 3.88/4.03 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.88/4.03 exists A (-empty(A)&relation(A)).
% 3.88/4.03 all A exists B (element(B,powerset(A))&empty(B)).
% 3.88/4.03 exists A (-empty(A)).
% 3.88/4.03 exists A (relation(A)&function(A)&one_to_one(A)).
% 3.88/4.03 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.88/4.03 exists A (relation(A)&relation_empty_yielding(A)).
% 3.88/4.03 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 3.88/4.03 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 3.88/4.03 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 3.88/4.03 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 3.88/4.03 all A B (ordinal(A)&ordinal(B)-> (ordinal_subset(A,B)<->subset(A,B))).
% 3.88/4.03 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,A)).
% 3.88/4.03 all A B subset(A,A).
% 3.88/4.03 all A B (disjoint(A,B)->disjoint(B,A)).
% 3.88/4.03 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.88/4.03 all A in(A,succ(A)).
% 3.88/4.03 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 3.88/4.03 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 3.88/4.03 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 3.88/4.03 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 3.88/4.03 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 3.88/4.03 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))).
% 3.88/4.03 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 3.88/4.03 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 3.88/4.03 all A B (subset(A,B)->set_union2(A,B)=B).
% 3.88/4.03 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))))).
% 3.88/4.03 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 3.88/4.03 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))))).
% 3.88/4.03 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 3.88/4.03 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 3.88/4.03 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 3.88/4.03 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 3.88/4.03 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 3.88/4.03 all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 3.88/4.03 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 3.88/4.03 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))))).
% 3.88/4.03 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 3.88/4.03 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 3.88/4.03 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 3.88/4.03 all A B subset(set_intersection2(A,B),A).
% 3.88/4.03 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 3.88/4.03 all A (set_union2(A,empty_set)=A).
% 3.88/4.03 all A B (in(A,B)->element(A,B)).
% 3.88/4.03 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 3.88/4.03 powerset(empty_set)=singleton(empty_set).
% 3.88/4.03 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 3.88/4.03 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)))))).
% 3.88/4.03 all A (epsilon_transitive(A)-> (all B (ordinal(B)-> (proper_subset(A,B)->in(A,B))))).
% 3.88/4.03 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 3.88/4.03 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)))))).
% 3.88/4.03 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)))))).
% 3.88/4.03 all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 3.88/4.03 all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 3.88/4.03 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)))))).
% 3.88/4.03 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 3.88/4.03 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 3.88/4.03 all A (set_intersection2(A,empty_set)=empty_set).
% 3.88/4.03 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.88/4.03 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.88/4.03 all A subset(empty_set,A).
% 3.88/4.03 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 3.88/4.03 all A ((all B (in(B,A)->ordinal(B)&subset(B,A)))->ordinal(A)).
% 3.88/4.03 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))))))))).
% 3.88/4.04 all A (ordinal(A)-> (all B (ordinal(B)-> (in(A,B)<->ordinal_subset(succ(A),B))))).
% 3.88/4.04 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 3.88/4.04 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 3.88/4.04 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 3.88/4.04 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 3.88/4.04 all A B subset(set_difference(A,B),A).
% 3.88/4.04 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 3.88/4.04 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.88/4.04 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.88/4.04 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 3.88/4.04 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 3.88/4.04 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.88/4.04 all A (set_difference(A,empty_set)=A).
% 3.88/4.04 all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 3.88/4.04 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.88/4.04 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))).
% 3.88/4.04 all A (subset(A,empty_set)->A=empty_set).
% 3.88/4.04 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 3.88/4.04 all A (ordinal(A)-> (being_limit_ordinal(A)<-> (all B (ordinal(B)-> (in(B,A)->in(succ(B),A)))))).
% 3.88/4.04 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))).
% 3.88/4.04 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 3.88/4.04 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 3.88/4.04 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 3.88/4.04 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 3.88/4.04 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 3.88/4.04 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 3.88/4.04 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.88/4.04 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 3.88/4.04 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)))).
% 3.88/4.04 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)))).
% 3.88/4.04 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 3.88/4.04 all A (set_difference(empty_set,A)=empty_set).
% 3.88/4.04 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.88/4.04 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))).
% 3.88/4.04 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)))))))).
% 3.88/4.04 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))))))))).
% 3.88/4.04 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 3.88/4.04 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)))).
% 3.88/4.04 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 3.88/4.04 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))).
% 3.88/4.04 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.88/4.04 relation_dom(empty_set)=empty_set.
% 3.88/4.04 relation_rng(empty_set)=empty_set.
% 3.88/4.04 all A B (-(subset(A,B)&proper_subset(B,A))).
% 3.88/4.04 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 3.88/4.04 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 3.88/4.04 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 3.88/4.04 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 3.88/4.04 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 3.88/4.04 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))))))).
% 3.88/4.04 all A (unordered_pair(A,A)=singleton(A)).
% 3.88/4.04 all A (empty(A)->A=empty_set).
% 3.88/4.04 all A B (subset(singleton(A),singleton(B))->A=B).
% 3.88/4.04 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))).
% 3.88/4.04 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 3.88/4.04 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.88/4.04 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))).
% 3.88/4.04 all A B (-(in(A,B)&empty(B))).
% 3.88/4.04 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 3.88/4.04 all A B subset(A,set_union2(A,B)).
% 3.88/4.04 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 3.88/4.04 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 3.88/4.04 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 3.88/4.04 all A B (-(empty(A)&A!=B&empty(B))).
% 3.88/4.04 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 3.88/4.04 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 3.88/4.04 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 3.88/4.04 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 3.88/4.04 all A B (in(A,B)->subset(A,union(B))).
% 3.88/4.04 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 3.88/4.04 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 3.88/4.04 all A (union(powerset(A))=A).
% 3.88/4.04 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))))).
% 3.88/4.04 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 3.88/4.04 end_of_list.
% 3.88/4.04
% 3.88/4.04 -------> usable clausifies to:
% 3.88/4.04
% 3.88/4.04 list(usable).
% 3.88/4.04 0 [] A=A.
% 3.88/4.04 0 [] -in(A,B)| -in(B,A).
% 3.88/4.04 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.88/4.04 0 [] -empty(A)|function(A).
% 3.88/4.04 0 [] -ordinal(A)|epsilon_transitive(A).
% 3.88/4.04 0 [] -ordinal(A)|epsilon_connected(A).
% 3.88/4.04 0 [] -empty(A)|relation(A).
% 3.88/4.04 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.88/4.04 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 3.88/4.04 0 [] -empty(A)|epsilon_transitive(A).
% 3.88/4.04 0 [] -empty(A)|epsilon_connected(A).
% 3.88/4.04 0 [] -empty(A)|ordinal(A).
% 3.88/4.04 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.88/4.04 0 [] set_union2(A,B)=set_union2(B,A).
% 3.88/4.04 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.88/4.04 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 3.88/4.04 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 3.88/4.04 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 3.88/4.04 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 3.88/4.04 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 3.88/4.04 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 3.88/4.04 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)!=$f1(A,B).
% 3.88/4.04 0 [] A!=B|subset(A,B).
% 3.88/4.04 0 [] A!=B|subset(B,A).
% 3.88/4.04 0 [] A=B| -subset(A,B)| -subset(B,A).
% 3.88/4.04 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 3.88/4.04 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 3.88/4.04 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 3.88/4.04 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 3.88/4.04 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).
% 3.88/4.04 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),$f3(A,B,C)),A).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 3.88/4.04 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).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 3.88/4.04 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 3.88/4.04 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 3.88/4.04 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 3.88/4.04 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 3.88/4.04 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).
% 3.88/4.04 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),$f8(A,B,C)),B).
% 3.88/4.04 0 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 3.88/4.04 0 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 3.88/4.04 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 3.88/4.04 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 3.88/4.04 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 3.88/4.04 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 3.88/4.04 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 3.88/4.04 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 3.88/4.04 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 3.88/4.04 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 3.88/4.04 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 3.88/4.04 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 3.88/4.04 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 3.88/4.04 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 3.88/4.04 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).
% 3.88/4.04 0 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 3.88/4.04 0 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 3.88/4.04 0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 3.88/4.04 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 3.93/4.04 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 3.93/4.04 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 3.93/4.04 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.
% 3.93/4.04 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 3.93/4.04 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 3.93/4.04 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 3.93/4.04 0 [] succ(A)=set_union2(A,singleton(A)).
% 3.93/4.04 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f19(A,B),$f18(A,B)).
% 3.93/4.04 0 [] relation(A)|in($f20(A),A).
% 3.93/4.04 0 [] relation(A)|$f20(A)!=ordered_pair(C,D).
% 3.93/4.04 0 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 3.93/4.04 0 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 3.93/4.04 0 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 3.93/4.04 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.93/4.04 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 3.93/4.04 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 3.93/4.04 0 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(X4,A)|in($f24(A,B),X4).
% 3.93/4.04 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 3.93/4.04 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 3.93/4.04 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.93/4.04 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.93/4.04 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 3.93/4.04 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 3.93/4.04 0 [] B=singleton(A)|in($f25(A,B),B)|$f25(A,B)=A.
% 3.93/4.04 0 [] B=singleton(A)| -in($f25(A,B),B)|$f25(A,B)!=A.
% 3.93/4.04 0 [] A!=empty_set| -in(B,A).
% 3.93/4.04 0 [] A=empty_set|in($f26(A),A).
% 3.93/4.04 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 3.93/4.04 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 3.93/4.04 0 [] B=powerset(A)|in($f27(A,B),B)|subset($f27(A,B),A).
% 3.93/4.04 0 [] B=powerset(A)| -in($f27(A,B),B)| -subset($f27(A,B),A).
% 3.93/4.04 0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 3.93/4.04 0 [] epsilon_transitive(A)|in($f28(A),A).
% 3.93/4.04 0 [] epsilon_transitive(A)| -subset($f28(A),A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.93/4.04 0 [] empty(A)| -element(B,A)|in(B,A).
% 3.93/4.04 0 [] empty(A)|element(B,A)| -in(B,A).
% 3.93/4.04 0 [] -empty(A)| -element(B,A)|empty(B).
% 3.93/4.04 0 [] -empty(A)|element(B,A)| -empty(B).
% 3.93/4.04 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 3.93/4.04 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 3.93/4.04 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 3.93/4.04 0 [] C=unordered_pair(A,B)|in($f31(A,B,C),C)|$f31(A,B,C)=A|$f31(A,B,C)=B.
% 3.93/4.04 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=A.
% 3.93/4.04 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=B.
% 3.93/4.04 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 3.93/4.04 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 3.93/4.04 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 3.93/4.04 0 [] C=set_union2(A,B)|in($f32(A,B,C),C)|in($f32(A,B,C),A)|in($f32(A,B,C),B).
% 3.93/4.04 0 [] C=set_union2(A,B)| -in($f32(A,B,C),C)| -in($f32(A,B,C),A).
% 3.93/4.04 0 [] C=set_union2(A,B)| -in($f32(A,B,C),C)| -in($f32(A,B,C),B).
% 3.93/4.04 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f34(A,B,C,D),A).
% 3.93/4.04 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f33(A,B,C,D),B).
% 3.93/4.04 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f34(A,B,C,D),$f33(A,B,C,D)).
% 3.93/4.04 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 3.93/4.04 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|in($f36(A,B,C),A).
% 3.93/4.04 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|in($f35(A,B,C),B).
% 3.93/4.04 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|$f37(A,B,C)=ordered_pair($f36(A,B,C),$f35(A,B,C)).
% 3.93/4.04 0 [] C=cartesian_product2(A,B)| -in($f37(A,B,C),C)| -in(X5,A)| -in(X6,B)|$f37(A,B,C)!=ordered_pair(X5,X6).
% 3.93/4.04 0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 3.93/4.04 0 [] epsilon_connected(A)|in($f39(A),A).
% 3.93/4.04 0 [] epsilon_connected(A)|in($f38(A),A).
% 3.93/4.04 0 [] epsilon_connected(A)| -in($f39(A),$f38(A)).
% 3.93/4.04 0 [] epsilon_connected(A)|$f39(A)!=$f38(A).
% 3.93/4.04 0 [] epsilon_connected(A)| -in($f38(A),$f39(A)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 3.93/4.04 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.93/4.04 0 [] subset(A,B)|in($f42(A,B),A).
% 3.93/4.04 0 [] subset(A,B)| -in($f42(A,B),B).
% 3.93/4.04 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 3.93/4.04 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 3.93/4.04 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 3.93/4.04 0 [] C=set_intersection2(A,B)|in($f43(A,B,C),C)|in($f43(A,B,C),A).
% 3.93/4.04 0 [] C=set_intersection2(A,B)|in($f43(A,B,C),C)|in($f43(A,B,C),B).
% 3.93/4.04 0 [] C=set_intersection2(A,B)| -in($f43(A,B,C),C)| -in($f43(A,B,C),A)| -in($f43(A,B,C),B).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.93/4.04 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.93/4.04 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.93/4.04 0 [] -ordinal(A)|epsilon_transitive(A).
% 3.93/4.04 0 [] -ordinal(A)|epsilon_connected(A).
% 3.93/4.04 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 3.93/4.04 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f44(A,B,C)),A).
% 3.93/4.04 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.93/4.04 0 [] -relation(A)|B=relation_dom(A)|in($f46(A,B),B)|in(ordered_pair($f46(A,B),$f45(A,B)),A).
% 3.93/4.04 0 [] -relation(A)|B=relation_dom(A)| -in($f46(A,B),B)| -in(ordered_pair($f46(A,B),X7),A).
% 3.93/4.04 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.
% 3.93/4.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f48(A,B),B).
% 3.93/4.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f47(A,B),B).
% 3.93/4.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f48(A,B),$f47(A,B)),A).
% 3.93/4.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f47(A,B),$f48(A,B)),A).
% 3.93/4.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|$f48(A,B)!=$f47(A,B).
% 3.93/4.04 0 [] cast_to_subset(A)=A.
% 3.93/4.04 0 [] B!=union(A)| -in(C,B)|in(C,$f49(A,B,C)).
% 3.93/4.04 0 [] B!=union(A)| -in(C,B)|in($f49(A,B,C),A).
% 3.93/4.04 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 3.93/4.04 0 [] B=union(A)|in($f51(A,B),B)|in($f51(A,B),$f50(A,B)).
% 3.93/4.04 0 [] B=union(A)|in($f51(A,B),B)|in($f50(A,B),A).
% 3.93/4.04 0 [] B=union(A)| -in($f51(A,B),B)| -in($f51(A,B),X8)| -in(X8,A).
% 3.93/4.04 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 3.93/4.04 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 3.93/4.04 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 3.93/4.04 0 [] C=set_difference(A,B)|in($f52(A,B,C),C)|in($f52(A,B,C),A).
% 3.93/4.04 0 [] C=set_difference(A,B)|in($f52(A,B,C),C)| -in($f52(A,B,C),B).
% 3.93/4.04 0 [] C=set_difference(A,B)| -in($f52(A,B,C),C)| -in($f52(A,B,C),A)|in($f52(A,B,C),B).
% 3.93/4.04 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f53(A,B,C),relation_dom(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f53(A,B,C)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.93/4.04 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|in($f54(A,B),relation_dom(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|$f55(A,B)=apply(A,$f54(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f55(A,B),B)| -in(X9,relation_dom(A))|$f55(A,B)!=apply(A,X9).
% 3.93/4.04 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f56(A,B,C),C),A).
% 3.93/4.04 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.93/4.04 0 [] -relation(A)|B=relation_rng(A)|in($f58(A,B),B)|in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 3.93/4.04 0 [] -relation(A)|B=relation_rng(A)| -in($f58(A,B),B)| -in(ordered_pair(X10,$f58(A,B)),A).
% 3.93/4.04 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 3.93/4.04 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 3.93/4.04 0 [] -being_limit_ordinal(A)|A=union(A).
% 3.93/4.04 0 [] being_limit_ordinal(A)|A!=union(A).
% 3.93/4.04 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f60(A,B),$f59(A,B)),B)|in(ordered_pair($f59(A,B),$f60(A,B)),A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f60(A,B),$f59(A,B)),B)| -in(ordered_pair($f59(A,B),$f60(A,B)),A).
% 3.93/4.04 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.93/4.04 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.93/4.04 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f62(A),relation_dom(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f61(A),relation_dom(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f62(A))=apply(A,$f61(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|one_to_one(A)|$f62(A)!=$f61(A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f63(A,B,C,D,E)),A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f63(A,B,C,D,E),E),B).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f66(A,B,C),$f65(A,B,C)),C)|in(ordered_pair($f66(A,B,C),$f64(A,B,C)),A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f66(A,B,C),$f65(A,B,C)),C)|in(ordered_pair($f64(A,B,C),$f65(A,B,C)),B).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f66(A,B,C),$f65(A,B,C)),C)| -in(ordered_pair($f66(A,B,C),X11),A)| -in(ordered_pair(X11,$f65(A,B,C)),B).
% 3.93/4.04 0 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 3.93/4.04 0 [] -relation(A)|is_transitive_in(A,B)|in($f69(A,B),B).
% 3.93/4.04 0 [] -relation(A)|is_transitive_in(A,B)|in($f68(A,B),B).
% 3.93/4.04 0 [] -relation(A)|is_transitive_in(A,B)|in($f67(A,B),B).
% 3.93/4.04 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f69(A,B),$f68(A,B)),A).
% 3.93/4.04 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f68(A,B),$f67(A,B)),A).
% 3.93/4.04 0 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f69(A,B),$f67(A,B)),A).
% 3.93/4.04 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).
% 3.93/4.04 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).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f70(A,B,C),powerset(A)).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f70(A,B,C),C)|in(subset_complement(A,$f70(A,B,C)),B).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f70(A,B,C),C)| -in(subset_complement(A,$f70(A,B,C)),B).
% 3.93/4.04 0 [] -proper_subset(A,B)|subset(A,B).
% 3.93/4.04 0 [] -proper_subset(A,B)|A!=B.
% 3.93/4.04 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 3.93/4.04 0 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 3.93/4.04 0 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] element(cast_to_subset(A),powerset(A)).
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] -relation(A)|relation(relation_inverse(A)).
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 3.93/4.04 0 [] relation(identity_relation(A)).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 3.93/4.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 3.93/4.04 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 3.93/4.04 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] $T.
% 3.93/4.04 0 [] element($f71(A),A).
% 3.93/4.04 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.93/4.04 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.93/4.04 0 [] -empty(A)|empty(relation_inverse(A)).
% 3.93/4.04 0 [] -empty(A)|relation(relation_inverse(A)).
% 3.93/4.04 0 [] empty(empty_set).
% 3.93/4.04 0 [] relation(empty_set).
% 3.93/4.04 0 [] relation_empty_yielding(empty_set).
% 3.93/4.04 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.93/4.04 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.93/4.04 0 [] -empty(succ(A)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.93/4.04 0 [] -empty(powerset(A)).
% 3.93/4.04 0 [] empty(empty_set).
% 3.93/4.04 0 [] -empty(ordered_pair(A,B)).
% 3.93/4.04 0 [] relation(identity_relation(A)).
% 3.93/4.04 0 [] function(identity_relation(A)).
% 3.93/4.04 0 [] relation(empty_set).
% 3.93/4.04 0 [] relation_empty_yielding(empty_set).
% 3.93/4.04 0 [] function(empty_set).
% 3.93/4.04 0 [] one_to_one(empty_set).
% 3.93/4.04 0 [] empty(empty_set).
% 3.93/4.04 0 [] epsilon_transitive(empty_set).
% 3.93/4.04 0 [] epsilon_connected(empty_set).
% 3.93/4.04 0 [] ordinal(empty_set).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.93/4.04 0 [] -empty(singleton(A)).
% 3.93/4.04 0 [] empty(A)| -empty(set_union2(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.93/4.04 0 [] -ordinal(A)| -empty(succ(A)).
% 3.93/4.04 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 3.93/4.04 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 3.93/4.04 0 [] -ordinal(A)|ordinal(succ(A)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 3.93/4.04 0 [] -empty(unordered_pair(A,B)).
% 3.93/4.04 0 [] empty(A)| -empty(set_union2(B,A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.93/4.04 0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 3.93/4.04 0 [] -ordinal(A)|epsilon_connected(union(A)).
% 3.93/4.04 0 [] -ordinal(A)|ordinal(union(A)).
% 3.93/4.04 0 [] empty(empty_set).
% 3.93/4.04 0 [] relation(empty_set).
% 3.93/4.04 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.93/4.04 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.93/4.04 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.93/4.04 0 [] -empty(A)|empty(relation_dom(A)).
% 3.93/4.04 0 [] -empty(A)|relation(relation_dom(A)).
% 3.93/4.04 0 [] -empty(A)|empty(relation_rng(A)).
% 3.93/4.04 0 [] -empty(A)|relation(relation_rng(A)).
% 3.93/4.04 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.93/4.04 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.93/4.04 0 [] set_union2(A,A)=A.
% 3.93/4.04 0 [] set_intersection2(A,A)=A.
% 3.93/4.04 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 3.93/4.04 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 3.93/4.04 0 [] -proper_subset(A,A).
% 3.93/4.04 0 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 3.93/4.04 0 [] -relation(A)|reflexive(A)|in($f72(A),relation_field(A)).
% 3.93/4.04 0 [] -relation(A)|reflexive(A)| -in(ordered_pair($f72(A),$f72(A)),A).
% 3.93/4.04 0 [] singleton(A)!=empty_set.
% 3.93/4.04 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.93/4.04 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.93/4.04 0 [] in(A,B)|disjoint(singleton(A),B).
% 3.93/4.04 0 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 3.93/4.04 0 [] -relation(A)|transitive(A)|in(ordered_pair($f75(A),$f74(A)),A).
% 3.93/4.04 0 [] -relation(A)|transitive(A)|in(ordered_pair($f74(A),$f73(A)),A).
% 3.93/4.04 0 [] -relation(A)|transitive(A)| -in(ordered_pair($f75(A),$f73(A)),A).
% 3.93/4.04 0 [] -subset(singleton(A),B)|in(A,B).
% 3.93/4.04 0 [] subset(singleton(A),B)| -in(A,B).
% 3.93/4.04 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.93/4.04 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.93/4.04 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 3.93/4.04 0 [] relation($c3).
% 3.93/4.04 0 [] antisymmetric($c3)| -in(ordered_pair(B,C),$c3)| -in(ordered_pair(C,B),$c3)|B=C.
% 3.93/4.04 0 [] -antisymmetric($c3)|in(ordered_pair($c2,$c1),$c3).
% 3.93/4.04 0 [] -antisymmetric($c3)|in(ordered_pair($c1,$c2),$c3).
% 3.93/4.04 0 [] -antisymmetric($c3)|$c2!=$c1.
% 3.93/4.04 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.93/4.04 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.93/4.04 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.93/4.04 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.93/4.04 0 [] -in(A,B)|subset(A,union(B)).
% 3.93/4.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.93/4.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.93/4.04 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.93/4.04 0 [] in($f76(A,B),A)|element(A,powerset(B)).
% 3.93/4.04 0 [] -in($f76(A,B),B)|element(A,powerset(B)).
% 3.93/4.04 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 3.93/4.04 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 3.93/4.04 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 3.93/4.04 0 [] relation($c4).
% 3.93/4.04 0 [] function($c4).
% 3.93/4.04 0 [] epsilon_transitive($c5).
% 3.93/4.04 0 [] epsilon_connected($c5).
% 3.93/4.04 0 [] ordinal($c5).
% 3.93/4.04 0 [] empty($c6).
% 3.93/4.04 0 [] relation($c6).
% 3.93/4.04 0 [] empty(A)|element($f77(A),powerset(A)).
% 3.93/4.04 0 [] empty(A)| -empty($f77(A)).
% 3.93/4.04 0 [] empty($c7).
% 3.93/4.04 0 [] relation($c8).
% 3.93/4.04 0 [] empty($c8).
% 3.93/4.04 0 [] function($c8).
% 3.93/4.04 0 [] relation($c9).
% 3.93/4.04 0 [] function($c9).
% 3.93/4.04 0 [] one_to_one($c9).
% 3.93/4.04 0 [] empty($c9).
% 3.93/4.04 0 [] epsilon_transitive($c9).
% 3.93/4.04 0 [] epsilon_connected($c9).
% 3.93/4.04 0 [] ordinal($c9).
% 3.93/4.04 0 [] -empty($c10).
% 3.93/4.04 0 [] relation($c10).
% 3.93/4.04 0 [] element($f78(A),powerset(A)).
% 3.93/4.04 0 [] empty($f78(A)).
% 3.93/4.04 0 [] -empty($c11).
% 3.93/4.04 0 [] relation($c12).
% 3.93/4.04 0 [] function($c12).
% 3.93/4.04 0 [] one_to_one($c12).
% 3.93/4.04 0 [] -empty($c13).
% 3.93/4.04 0 [] epsilon_transitive($c13).
% 3.93/4.04 0 [] epsilon_connected($c13).
% 3.93/4.04 0 [] ordinal($c13).
% 3.93/4.04 0 [] relation($c14).
% 3.93/4.04 0 [] relation_empty_yielding($c14).
% 3.93/4.04 0 [] relation($c15).
% 3.93/4.04 0 [] relation_empty_yielding($c15).
% 3.93/4.04 0 [] function($c15).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 3.93/4.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 3.93/4.04 0 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 3.93/4.04 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 3.93/4.04 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,A).
% 3.93/4.04 0 [] subset(A,A).
% 3.93/4.04 0 [] -disjoint(A,B)|disjoint(B,A).
% 3.93/4.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.93/4.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.93/4.04 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.93/4.04 0 [] in(A,succ(A)).
% 3.93/4.04 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 3.93/4.04 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 3.93/4.04 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 3.93/4.04 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 3.93/4.04 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 3.93/4.04 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.93/4.04 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.93/4.04 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 3.93/4.04 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.93/4.04 0 [] -subset(A,B)|set_union2(A,B)=B.
% 3.93/4.04 0 [] in(A,$f79(A)).
% 3.93/4.04 0 [] -in(C,$f79(A))| -subset(D,C)|in(D,$f79(A)).
% 3.93/4.04 0 [] -in(X12,$f79(A))|in(powerset(X12),$f79(A)).
% 3.93/4.04 0 [] -subset(X13,$f79(A))|are_e_quipotent(X13,$f79(A))|in(X13,$f79(A)).
% 3.93/4.04 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f80(A,B,C),relation_dom(C)).
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f80(A,B,C),A),C).
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f80(A,B,C),B).
% 3.93/4.04 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 3.93/4.04 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 3.93/4.04 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 3.93/4.04 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 3.93/4.04 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 3.93/4.04 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 3.93/4.04 0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 3.93/4.04 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f81(A,B,C),relation_rng(C)).
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f81(A,B,C)),C).
% 3.93/4.04 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f81(A,B,C),B).
% 3.93/4.04 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 3.93/4.04 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 3.93/4.04 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 3.93/4.04 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 3.93/4.04 0 [] subset(set_intersection2(A,B),A).
% 3.93/4.04 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.93/4.04 0 [] set_union2(A,empty_set)=A.
% 3.93/4.04 0 [] -in(A,B)|element(A,B).
% 3.93/4.04 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.93/4.04 0 [] powerset(empty_set)=singleton(empty_set).
% 3.93/4.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.93/4.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 3.93/4.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 3.93/4.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 3.93/4.04 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)).
% 3.93/4.04 0 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 3.93/4.04 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.93/4.04 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)).
% 3.93/4.04 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)).
% 3.93/4.04 0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 3.93/4.04 0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.93/4.04 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.93/4.04 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.93/4.04 0 [] set_intersection2(A,empty_set)=empty_set.
% 3.93/4.04 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.93/4.04 0 [] in($f82(A,B),A)|in($f82(A,B),B)|A=B.
% 3.93/4.04 0 [] -in($f82(A,B),A)| -in($f82(A,B),B)|A=B.
% 3.93/4.04 0 [] subset(empty_set,A).
% 3.93/4.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 3.93/4.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 3.93/4.04 0 [] in($f83(A),A)|ordinal(A).
% 3.93/4.04 0 [] -ordinal($f83(A))| -subset($f83(A),A)|ordinal(A).
% 3.93/4.04 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|ordinal($f84(A,B)).
% 3.93/4.04 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|in($f84(A,B),A).
% 3.93/4.04 0 [] -ordinal(B)| -subset(A,B)|A=empty_set| -ordinal(D)| -in(D,A)|ordinal_subset($f84(A,B),D).
% 3.93/4.04 0 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 3.93/4.04 0 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 3.93/4.04 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.93/4.04 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.93/4.04 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.93/4.04 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 3.93/4.04 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 3.93/4.04 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f85(A,B),A).
% 3.93/4.04 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f85(A,B))!=$f85(A,B).
% 3.93/4.04 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 3.93/4.04 0 [] subset(set_difference(A,B),A).
% 3.93/4.04 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.93/4.04 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 3.93/4.04 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.93/4.04 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.93/4.04 0 [] -subset(singleton(A),B)|in(A,B).
% 3.93/4.04 0 [] subset(singleton(A),B)| -in(A,B).
% 3.93/4.04 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.93/4.04 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.93/4.04 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.93/4.04 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.93/4.04 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.93/4.04 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.93/4.04 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.93/4.04 0 [] set_difference(A,empty_set)=A.
% 3.93/4.04 0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.93/4.04 0 [] -element(A,powerset(B))|subset(A,B).
% 3.93/4.04 0 [] element(A,powerset(B))| -subset(A,B).
% 3.93/4.04 0 [] disjoint(A,B)|in($f86(A,B),A).
% 3.93/4.04 0 [] disjoint(A,B)|in($f86(A,B),B).
% 3.93/4.04 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 3.93/4.04 0 [] -subset(A,empty_set)|A=empty_set.
% 3.93/4.04 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.93/4.04 0 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 3.93/4.04 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f87(A)).
% 3.93/4.04 0 [] -ordinal(A)|being_limit_ordinal(A)|in($f87(A),A).
% 3.93/4.04 0 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f87(A)),A).
% 3.93/4.04 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f88(A)).
% 3.93/4.04 0 [] -ordinal(A)|being_limit_ordinal(A)|A=succ($f88(A)).
% 3.93/4.04 0 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 3.93/4.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 3.93/4.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.93/4.04 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 3.93/4.04 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.93/4.04 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 3.93/4.04 0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 3.93/4.04 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 3.93/4.04 0 [] set_difference(empty_set,A)=empty_set.
% 3.93/4.04 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.93/4.04 0 [] disjoint(A,B)|in($f89(A,B),set_intersection2(A,B)).
% 3.93/4.04 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 3.93/4.04 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.93/4.04 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)).
% 3.93/4.04 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).
% 3.93/4.04 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)).
% 3.93/4.04 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).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f91(A,B),relation_rng(A))|in($f90(A,B),relation_dom(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f91(A,B),relation_rng(A))|$f91(A,B)=apply(A,$f90(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f90(A,B)=apply(B,$f91(A,B))|in($f90(A,B),relation_dom(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f90(A,B)=apply(B,$f91(A,B))|$f91(A,B)=apply(A,$f90(A,B)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f90(A,B),relation_dom(A))|$f91(A,B)!=apply(A,$f90(A,B))| -in($f91(A,B),relation_rng(A))|$f90(A,B)!=apply(B,$f91(A,B)).
% 3.93/4.04 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 3.93/4.04 0 [] -relation(A)|in(ordered_pair($f93(A),$f92(A)),A)|A=empty_set.
% 3.93/4.04 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 3.93/4.04 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 3.93/4.04 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.93/4.04 0 [] relation_dom(empty_set)=empty_set.
% 3.93/4.04 0 [] relation_rng(empty_set)=empty_set.
% 3.93/4.04 0 [] -subset(A,B)| -proper_subset(B,A).
% 3.93/4.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.93/4.04 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.93/4.04 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.93/4.04 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.93/4.04 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.93/4.04 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.93/4.04 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.93/4.04 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.93/4.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 3.93/4.04 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).
% 3.93/4.04 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($f94(A,B,C),relation_dom(B)).
% 3.93/4.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|apply(B,$f94(A,B,C))!=apply(C,$f94(A,B,C)).
% 3.93/4.04 0 [] unordered_pair(A,A)=singleton(A).
% 3.93/4.04 0 [] -empty(A)|A=empty_set.
% 3.93/4.04 0 [] -subset(singleton(A),singleton(B))|A=B.
% 3.93/4.04 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.93/4.04 0 [] relation_dom(identity_relation(A))=A.
% 3.93/4.04 0 [] relation_rng(identity_relation(A))=A.
% 3.93/4.04 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.93/4.04 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 3.93/4.04 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 3.93/4.04 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 3.93/4.04 0 [] -in(A,B)| -empty(B).
% 3.93/4.04 0 [] -in(A,B)|in($f95(A,B),B).
% 3.93/4.04 0 [] -in(A,B)| -in(D,B)| -in(D,$f95(A,B)).
% 3.93/4.04 0 [] subset(A,set_union2(A,B)).
% 3.93/4.04 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.93/4.04 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.93/4.05 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 3.93/4.05 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 3.93/4.05 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 3.93/4.05 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 3.93/4.05 0 [] -empty(A)|A=B| -empty(B).
% 3.93/4.05 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.93/4.05 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 3.93/4.05 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 3.93/4.05 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.93/4.05 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.93/4.05 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 3.93/4.05 0 [] -in(A,B)|subset(A,union(B)).
% 3.93/4.05 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 3.93/4.05 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 3.93/4.05 0 [] union(powerset(A))=A.
% 3.93/4.05 0 [] in(A,$f97(A)).
% 3.93/4.05 0 [] -in(C,$f97(A))| -subset(D,C)|in(D,$f97(A)).
% 3.93/4.05 0 [] -in(X14,$f97(A))|in($f96(A,X14),$f97(A)).
% 3.93/4.05 0 [] -in(X14,$f97(A))| -subset(E,X14)|in(E,$f96(A,X14)).
% 3.93/4.05 0 [] -subset(X15,$f97(A))|are_e_quipotent(X15,$f97(A))|in(X15,$f97(A)).
% 3.93/4.05 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.93/4.05 end_of_list.
% 3.93/4.05
% 3.93/4.05 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 3.93/4.05
% 3.93/4.05 This ia a non-Horn set with equality. The strategy will be
% 3.93/4.05 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.93/4.05 deletion, with positive clauses in sos and nonpositive
% 3.93/4.05 clauses in usable.
% 3.93/4.05
% 3.93/4.05 dependent: set(knuth_bendix).
% 3.93/4.05 dependent: set(anl_eq).
% 3.93/4.05 dependent: set(para_from).
% 3.93/4.05 dependent: set(para_into).
% 3.93/4.05 dependent: clear(para_from_right).
% 3.93/4.05 dependent: clear(para_into_right).
% 3.93/4.05 dependent: set(para_from_vars).
% 3.93/4.05 dependent: set(eq_units_both_ways).
% 3.93/4.05 dependent: set(dynamic_demod_all).
% 3.93/4.05 dependent: set(dynamic_demod).
% 3.93/4.05 dependent: set(order_eq).
% 3.93/4.05 dependent: set(back_demod).
% 3.93/4.05 dependent: set(lrpo).
% 3.93/4.05 dependent: set(hyper_res).
% 3.93/4.05 dependent: set(unit_deletion).
% 3.93/4.05 dependent: set(factor).
% 3.93/4.05
% 3.93/4.05 ------------> process usable:
% 3.93/4.05 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 3.93/4.05 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.93/4.05 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 3.93/4.05 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_transitive(A).
% 3.93/4.05 ** KEPT (pick-wt=4): 5 [] -ordinal(A)|epsilon_connected(A).
% 3.93/4.05 ** KEPT (pick-wt=4): 6 [] -empty(A)|relation(A).
% 3.93/4.05 ** KEPT (pick-wt=8): 7 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.93/4.05 ** KEPT (pick-wt=6): 8 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 3.93/4.05 ** KEPT (pick-wt=4): 9 [] -empty(A)|epsilon_transitive(A).
% 3.93/4.05 ** KEPT (pick-wt=4): 10 [] -empty(A)|epsilon_connected(A).
% 3.93/4.05 ** KEPT (pick-wt=4): 11 [] -empty(A)|ordinal(A).
% 3.93/4.05 ** KEPT (pick-wt=10): 12 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 3.93/4.05 ** KEPT (pick-wt=14): 13 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 3.93/4.05 ** KEPT (pick-wt=14): 14 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 3.93/4.05 ** KEPT (pick-wt=17): 15 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 3.93/4.05 ** KEPT (pick-wt=20): 16 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 3.93/4.05 ** KEPT (pick-wt=22): 17 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 3.93/4.05 ** KEPT (pick-wt=27): 18 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 3.93/4.05 ** KEPT (pick-wt=6): 19 [] A!=B|subset(A,B).
% 3.93/4.05 ** KEPT (pick-wt=6): 20 [] A!=B|subset(B,A).
% 3.93/4.05 ** KEPT (pick-wt=9): 21 [] A=B| -subset(A,B)| -subset(B,A).
% 3.93/4.05 ** KEPT (pick-wt=17): 22 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** 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($f4(A,C,B),C).
% 3.93/4.05 ** KEPT (pick-wt=31): 26 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 3.93/4.05 ** KEPT (pick-wt=37): 27 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($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).
% 3.93/4.05 ** KEPT (pick-wt=20): 28 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 3.93/4.05 ** KEPT (pick-wt=19): 29 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 3.93/4.05 ** KEPT (pick-wt=21): 31 [copy,30,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 3.93/4.05 ** KEPT (pick-wt=24): 32 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 3.93/4.05 ** KEPT (pick-wt=22): 33 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 3.93/4.05 ** KEPT (pick-wt=21): 34 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 3.93/4.05 ** KEPT (pick-wt=26): 36 [copy,35,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** KEPT (pick-wt=17): 38 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** 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($f8(C,A,B),C).
% 3.93/4.05 ** KEPT (pick-wt=31): 42 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 3.93/4.05 ** KEPT (pick-wt=37): 43 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($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).
% 3.93/4.05 ** KEPT (pick-wt=8): 44 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 3.93/4.05 ** KEPT (pick-wt=8): 45 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 3.93/4.05 ** KEPT (pick-wt=16): 46 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 3.93/4.05 ** KEPT (pick-wt=17): 47 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** 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)).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** 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,$f10(A,C,B)),C).
% 3.93/4.05 ** KEPT (pick-wt=19): 52 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 3.93/4.05 ** KEPT (pick-wt=17): 53 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 3.93/4.05 ** KEPT (pick-wt=18): 54 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 3.93/4.05 ** KEPT (pick-wt=24): 55 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 3.93/4.05 ** KEPT (pick-wt=19): 56 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** KEPT (pick-wt=19): 58 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 3.93/4.05 ** KEPT (pick-wt=17): 59 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 3.93/4.05 ** 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).
% 3.93/4.05 ** 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),$f15(A,C,B)),A).
% 3.93/4.05 ** KEPT (pick-wt=19): 62 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 3.93/4.05 ** KEPT (pick-wt=24): 63 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f16(A,C,B),B)| -in(ordered_pair($f16(A,C,B),D),A)| -in(D,C).
% 3.93/4.05 ** KEPT (pick-wt=8): 64 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 3.93/4.05 ** KEPT (pick-wt=8): 65 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 3.93/4.05 ** KEPT (pick-wt=18): 66 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 3.93/4.05 ** KEPT (pick-wt=12): 67 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 3.93/4.05 ** KEPT (pick-wt=12): 68 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 3.93/4.05 ** KEPT (pick-wt=12): 69 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 3.93/4.05 ** KEPT (pick-wt=20): 70 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 3.93/4.05 ** KEPT (pick-wt=20): 71 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 3.93/4.05 ** KEPT (pick-wt=20): 72 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 3.93/4.05 ** KEPT (pick-wt=14): 74 [copy,73,flip.3] -relation(A)| -in(B,A)|ordered_pair($f19(A,B),$f18(A,B))=B.
% 3.93/4.05 ** KEPT (pick-wt=8): 75 [] relation(A)|$f20(A)!=ordered_pair(B,C).
% 3.93/4.05 ** KEPT (pick-wt=13): 76 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 3.93/4.05 ** KEPT (pick-wt=10): 77 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 3.93/4.05 ** KEPT (pick-wt=14): 78 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 3.93/4.05 ** KEPT (pick-wt=16): 79 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.93/4.05 ** KEPT (pick-wt=16): 80 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 3.93/4.05 ** KEPT (pick-wt=16): 81 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 3.93/4.05 ** KEPT (pick-wt=20): 82 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(C,A)|in($f24(A,B),C).
% 3.93/4.05 ** KEPT (pick-wt=17): 83 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 3.93/4.05 ** KEPT (pick-wt=19): 84 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 3.93/4.05 ** KEPT (pick-wt=10): 85 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.93/4.05 ** KEPT (pick-wt=10): 86 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.93/4.05 ** KEPT (pick-wt=10): 87 [] A!=singleton(B)| -in(C,A)|C=B.
% 3.93/4.05 ** KEPT (pick-wt=10): 88 [] A!=singleton(B)|in(C,A)|C!=B.
% 3.93/4.05 ** KEPT (pick-wt=14): 89 [] A=singleton(B)| -in($f25(B,A),A)|$f25(B,A)!=B.
% 3.93/4.05 ** KEPT (pick-wt=6): 90 [] A!=empty_set| -in(B,A).
% 3.93/4.05 ** KEPT (pick-wt=10): 91 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 3.93/4.05 ** KEPT (pick-wt=10): 92 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 3.93/4.05 ** KEPT (pick-wt=14): 93 [] A=powerset(B)| -in($f27(B,A),A)| -subset($f27(B,A),B).
% 3.93/4.05 ** KEPT (pick-wt=8): 94 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 3.93/4.05 ** KEPT (pick-wt=6): 95 [] epsilon_transitive(A)| -subset($f28(A),A).
% 3.93/4.05 ** KEPT (pick-wt=17): 96 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.93/4.05 ** KEPT (pick-wt=17): 97 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.93/4.05 ** KEPT (pick-wt=25): 98 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.93/4.05 ** KEPT (pick-wt=25): 99 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 3.93/4.05 ** KEPT (pick-wt=8): 100 [] empty(A)| -element(B,A)|in(B,A).
% 3.93/4.05 ** KEPT (pick-wt=8): 101 [] empty(A)|element(B,A)| -in(B,A).
% 3.93/4.05 ** KEPT (pick-wt=7): 102 [] -empty(A)| -element(B,A)|empty(B).
% 3.93/4.05 ** KEPT (pick-wt=7): 103 [] -empty(A)|element(B,A)| -empty(B).
% 3.93/4.06 ** KEPT (pick-wt=14): 104 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 3.93/4.06 ** KEPT (pick-wt=11): 105 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 3.93/4.06 ** KEPT (pick-wt=11): 106 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 3.93/4.06 ** KEPT (pick-wt=17): 107 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=B.
% 3.93/4.06 ** KEPT (pick-wt=17): 108 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=C.
% 3.93/4.06 ** KEPT (pick-wt=14): 109 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 3.93/4.06 ** KEPT (pick-wt=11): 110 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 3.93/4.06 ** KEPT (pick-wt=11): 111 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 3.93/4.06 ** KEPT (pick-wt=17): 112 [] A=set_union2(B,C)| -in($f32(B,C,A),A)| -in($f32(B,C,A),B).
% 3.93/4.06 ** KEPT (pick-wt=17): 113 [] A=set_union2(B,C)| -in($f32(B,C,A),A)| -in($f32(B,C,A),C).
% 3.93/4.06 ** KEPT (pick-wt=15): 114 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f34(B,C,A,D),B).
% 3.93/4.06 ** KEPT (pick-wt=15): 115 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f33(B,C,A,D),C).
% 3.93/4.06 ** KEPT (pick-wt=21): 117 [copy,116,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f34(B,C,A,D),$f33(B,C,A,D))=D.
% 3.93/4.06 ** KEPT (pick-wt=19): 118 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 3.93/4.06 ** KEPT (pick-wt=25): 119 [] A=cartesian_product2(B,C)| -in($f37(B,C,A),A)| -in(D,B)| -in(E,C)|$f37(B,C,A)!=ordered_pair(D,E).
% 3.93/4.06 ** KEPT (pick-wt=17): 120 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 3.93/4.06 ** KEPT (pick-wt=7): 121 [] epsilon_connected(A)| -in($f39(A),$f38(A)).
% 3.93/4.06 ** KEPT (pick-wt=7): 122 [] epsilon_connected(A)|$f39(A)!=$f38(A).
% 3.93/4.06 ** KEPT (pick-wt=7): 123 [] epsilon_connected(A)| -in($f38(A),$f39(A)).
% 3.93/4.06 ** KEPT (pick-wt=17): 124 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.93/4.06 ** KEPT (pick-wt=16): 125 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=16): 126 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 3.93/4.06 ** KEPT (pick-wt=9): 127 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.93/4.06 ** KEPT (pick-wt=8): 128 [] subset(A,B)| -in($f42(A,B),B).
% 3.93/4.06 ** KEPT (pick-wt=11): 129 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 3.93/4.06 ** KEPT (pick-wt=11): 130 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 3.93/4.06 ** KEPT (pick-wt=14): 131 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 3.93/4.06 ** KEPT (pick-wt=23): 132 [] A=set_intersection2(B,C)| -in($f43(B,C,A),A)| -in($f43(B,C,A),B)| -in($f43(B,C,A),C).
% 3.93/4.06 ** KEPT (pick-wt=18): 133 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.93/4.06 ** KEPT (pick-wt=18): 134 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.93/4.06 ** KEPT (pick-wt=16): 135 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.93/4.06 ** KEPT (pick-wt=16): 136 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.93/4.06 Following clause subsumed by 4 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 3.93/4.06 Following clause subsumed by 5 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 3.93/4.06 Following clause subsumed by 8 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 3.93/4.06 ** KEPT (pick-wt=17): 137 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f44(A,B,C)),A).
% 3.93/4.06 ** KEPT (pick-wt=14): 138 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.93/4.06 ** KEPT (pick-wt=20): 139 [] -relation(A)|B=relation_dom(A)|in($f46(A,B),B)|in(ordered_pair($f46(A,B),$f45(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=18): 140 [] -relation(A)|B=relation_dom(A)| -in($f46(A,B),B)| -in(ordered_pair($f46(A,B),C),A).
% 3.93/4.06 ** KEPT (pick-wt=24): 141 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 3.93/4.06 ** KEPT (pick-wt=10): 142 [] -relation(A)|is_antisymmetric_in(A,B)|in($f48(A,B),B).
% 3.93/4.06 ** KEPT (pick-wt=10): 143 [] -relation(A)|is_antisymmetric_in(A,B)|in($f47(A,B),B).
% 3.93/4.06 ** KEPT (pick-wt=14): 144 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f48(A,B),$f47(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=14): 145 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f47(A,B),$f48(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=12): 146 [] -relation(A)|is_antisymmetric_in(A,B)|$f48(A,B)!=$f47(A,B).
% 3.93/4.06 ** KEPT (pick-wt=13): 147 [] A!=union(B)| -in(C,A)|in(C,$f49(B,A,C)).
% 3.93/4.06 ** KEPT (pick-wt=13): 148 [] A!=union(B)| -in(C,A)|in($f49(B,A,C),B).
% 3.93/4.06 ** KEPT (pick-wt=13): 149 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 3.93/4.06 ** KEPT (pick-wt=17): 150 [] A=union(B)| -in($f51(B,A),A)| -in($f51(B,A),C)| -in(C,B).
% 3.93/4.06 ** KEPT (pick-wt=11): 151 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 3.93/4.06 ** KEPT (pick-wt=11): 152 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 3.93/4.06 ** KEPT (pick-wt=14): 153 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 3.93/4.06 ** KEPT (pick-wt=17): 154 [] A=set_difference(B,C)|in($f52(B,C,A),A)| -in($f52(B,C,A),C).
% 3.93/4.06 ** KEPT (pick-wt=23): 155 [] A=set_difference(B,C)| -in($f52(B,C,A),A)| -in($f52(B,C,A),B)|in($f52(B,C,A),C).
% 3.93/4.06 ** KEPT (pick-wt=18): 156 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f53(A,B,C),relation_dom(A)).
% 3.93/4.06 ** KEPT (pick-wt=19): 158 [copy,157,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f53(A,B,C))=C.
% 3.93/4.06 ** KEPT (pick-wt=20): 159 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.93/4.06 ** KEPT (pick-wt=19): 160 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|in($f54(A,B),relation_dom(A)).
% 3.93/4.06 ** KEPT (pick-wt=22): 162 [copy,161,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f55(A,B),B)|apply(A,$f54(A,B))=$f55(A,B).
% 3.93/4.06 ** KEPT (pick-wt=24): 163 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f55(A,B),B)| -in(C,relation_dom(A))|$f55(A,B)!=apply(A,C).
% 3.93/4.06 ** KEPT (pick-wt=17): 164 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f56(A,B,C),C),A).
% 3.93/4.06 ** KEPT (pick-wt=14): 165 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.93/4.06 ** KEPT (pick-wt=20): 166 [] -relation(A)|B=relation_rng(A)|in($f58(A,B),B)|in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=18): 167 [] -relation(A)|B=relation_rng(A)| -in($f58(A,B),B)| -in(ordered_pair(C,$f58(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=11): 168 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 3.93/4.06 ** KEPT (pick-wt=6): 170 [copy,169,flip.2] -being_limit_ordinal(A)|union(A)=A.
% 3.93/4.06 ** KEPT (pick-wt=6): 172 [copy,171,flip.2] being_limit_ordinal(A)|union(A)!=A.
% 3.93/4.06 ** KEPT (pick-wt=10): 174 [copy,173,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 3.93/4.06 ** KEPT (pick-wt=18): 175 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.93/4.06 ** KEPT (pick-wt=18): 176 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.93/4.06 ** KEPT (pick-wt=26): 177 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f60(A,B),$f59(A,B)),B)|in(ordered_pair($f59(A,B),$f60(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=26): 178 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f60(A,B),$f59(A,B)),B)| -in(ordered_pair($f59(A,B),$f60(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=8): 179 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.93/4.06 ** KEPT (pick-wt=8): 180 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.93/4.06 ** KEPT (pick-wt=24): 181 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.93/4.06 ** KEPT (pick-wt=11): 182 [] -relation(A)| -function(A)|one_to_one(A)|in($f62(A),relation_dom(A)).
% 3.93/4.06 ** KEPT (pick-wt=11): 183 [] -relation(A)| -function(A)|one_to_one(A)|in($f61(A),relation_dom(A)).
% 3.93/4.06 ** KEPT (pick-wt=15): 184 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f62(A))=apply(A,$f61(A)).
% 3.93/4.06 ** KEPT (pick-wt=11): 185 [] -relation(A)| -function(A)|one_to_one(A)|$f62(A)!=$f61(A).
% 3.93/4.06 ** KEPT (pick-wt=26): 186 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f63(A,B,C,D,E)),A).
% 3.93/4.06 ** KEPT (pick-wt=26): 187 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f63(A,B,C,D,E),E),B).
% 3.93/4.06 ** KEPT (pick-wt=26): 188 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.93/4.06 ** KEPT (pick-wt=33): 189 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f66(A,B,C),$f65(A,B,C)),C)|in(ordered_pair($f66(A,B,C),$f64(A,B,C)),A).
% 3.93/4.06 ** KEPT (pick-wt=33): 190 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f66(A,B,C),$f65(A,B,C)),C)|in(ordered_pair($f64(A,B,C),$f65(A,B,C)),B).
% 3.93/4.06 ** KEPT (pick-wt=38): 191 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f66(A,B,C),$f65(A,B,C)),C)| -in(ordered_pair($f66(A,B,C),D),A)| -in(ordered_pair(D,$f65(A,B,C)),B).
% 3.93/4.06 ** KEPT (pick-wt=29): 192 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 3.93/4.06 ** KEPT (pick-wt=10): 193 [] -relation(A)|is_transitive_in(A,B)|in($f69(A,B),B).
% 3.93/4.06 ** KEPT (pick-wt=10): 194 [] -relation(A)|is_transitive_in(A,B)|in($f68(A,B),B).
% 3.93/4.06 ** KEPT (pick-wt=10): 195 [] -relation(A)|is_transitive_in(A,B)|in($f67(A,B),B).
% 3.93/4.06 ** KEPT (pick-wt=14): 196 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f69(A,B),$f68(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=14): 197 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f68(A,B),$f67(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=14): 198 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f69(A,B),$f67(A,B)),A).
% 3.93/4.06 ** KEPT (pick-wt=27): 199 [] -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).
% 3.93/4.06 ** KEPT (pick-wt=27): 200 [] -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).
% 3.93/4.06 ** KEPT (pick-wt=22): 201 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f70(B,A,C),powerset(B)).
% 3.93/4.06 ** KEPT (pick-wt=29): 202 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f70(B,A,C),C)|in(subset_complement(B,$f70(B,A,C)),A).
% 3.93/4.06 ** KEPT (pick-wt=29): 203 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f70(B,A,C),C)| -in(subset_complement(B,$f70(B,A,C)),A).
% 3.93/4.06 ** KEPT (pick-wt=6): 204 [] -proper_subset(A,B)|subset(A,B).
% 3.93/4.06 ** KEPT (pick-wt=6): 205 [] -proper_subset(A,B)|A!=B.
% 3.93/4.06 ** KEPT (pick-wt=9): 206 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.93/4.06 ** KEPT (pick-wt=11): 208 [copy,207,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 3.93/4.06 ** KEPT (pick-wt=8): 209 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 3.93/4.06 ** KEPT (pick-wt=8): 210 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 3.93/4.06 ** KEPT (pick-wt=7): 211 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.93/4.06 ** KEPT (pick-wt=7): 212 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.93/4.06 ** KEPT (pick-wt=10): 213 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 3.93/4.06 ** KEPT (pick-wt=5): 214 [] -relation(A)|relation(relation_inverse(A)).
% 3.93/4.06 ** KEPT (pick-wt=8): 215 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.93/4.06 ** KEPT (pick-wt=11): 216 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 3.93/4.06 ** KEPT (pick-wt=11): 217 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 3.93/4.06 ** KEPT (pick-wt=15): 218 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 3.93/4.06 ** KEPT (pick-wt=6): 219 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.93/4.06 ** KEPT (pick-wt=12): 220 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 3.93/4.06 ** KEPT (pick-wt=6): 221 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 3.93/4.06 ** KEPT (pick-wt=8): 222 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.93/4.06 ** KEPT (pick-wt=8): 223 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.93/4.06 ** KEPT (pick-wt=5): 224 [] -empty(A)|empty(relation_inverse(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 225 [] -empty(A)|relation(relation_inverse(A)).
% 3.93/4.07 Following clause subsumed by 219 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=8): 226 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.93/4.07 Following clause subsumed by 215 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=12): 227 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=3): 228 [] -empty(succ(A)).
% 3.93/4.07 ** KEPT (pick-wt=8): 229 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=3): 230 [] -empty(powerset(A)).
% 3.93/4.07 ** KEPT (pick-wt=4): 231 [] -empty(ordered_pair(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=8): 232 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=3): 233 [] -empty(singleton(A)).
% 3.93/4.07 ** KEPT (pick-wt=6): 234 [] empty(A)| -empty(set_union2(A,B)).
% 3.93/4.07 Following clause subsumed by 214 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.93/4.07 ** KEPT (pick-wt=9): 235 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.93/4.07 Following clause subsumed by 228 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 236 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 237 [] -ordinal(A)|epsilon_connected(succ(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 238 [] -ordinal(A)|ordinal(succ(A)).
% 3.93/4.07 ** KEPT (pick-wt=8): 239 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=4): 240 [] -empty(unordered_pair(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=6): 241 [] empty(A)| -empty(set_union2(B,A)).
% 3.93/4.07 Following clause subsumed by 219 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=8): 242 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=5): 243 [] -ordinal(A)|epsilon_transitive(union(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 244 [] -ordinal(A)|epsilon_connected(union(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 245 [] -ordinal(A)|ordinal(union(A)).
% 3.93/4.07 ** KEPT (pick-wt=8): 246 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=7): 247 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=7): 248 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 249 [] -empty(A)|empty(relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 250 [] -empty(A)|relation(relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 251 [] -empty(A)|empty(relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=5): 252 [] -empty(A)|relation(relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=8): 253 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=8): 254 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.93/4.07 ** KEPT (pick-wt=11): 255 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 3.93/4.07 ** KEPT (pick-wt=7): 256 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.93/4.07 ** KEPT (pick-wt=12): 257 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 3.93/4.07 ** KEPT (pick-wt=3): 258 [] -proper_subset(A,A).
% 3.93/4.07 ** KEPT (pick-wt=13): 259 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 3.93/4.07 ** KEPT (pick-wt=9): 260 [] -relation(A)|reflexive(A)|in($f72(A),relation_field(A)).
% 3.93/4.07 ** KEPT (pick-wt=11): 261 [] -relation(A)|reflexive(A)| -in(ordered_pair($f72(A),$f72(A)),A).
% 3.93/4.07 ** KEPT (pick-wt=4): 262 [] singleton(A)!=empty_set.
% 3.93/4.07 ** KEPT (pick-wt=9): 263 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.93/4.07 ** KEPT (pick-wt=7): 264 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.93/4.07 ** KEPT (pick-wt=19): 265 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 3.93/4.07 ** KEPT (pick-wt=11): 266 [] -relation(A)|transitive(A)|in(ordered_pair($f75(A),$f74(A)),A).
% 3.93/4.07 ** KEPT (pick-wt=11): 267 [] -relation(A)|transitive(A)|in(ordered_pair($f74(A),$f73(A)),A).
% 3.93/4.07 ** KEPT (pick-wt=11): 268 [] -relation(A)|transitive(A)| -in(ordered_pair($f75(A),$f73(A)),A).
% 3.93/4.07 ** KEPT (pick-wt=7): 269 [] -subset(singleton(A),B)|in(A,B).
% 3.93/4.07 ** KEPT (pick-wt=7): 270 [] subset(singleton(A),B)| -in(A,B).
% 3.93/4.07 ** KEPT (pick-wt=8): 271 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.93/4.07 ** KEPT (pick-wt=8): 272 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.93/4.07 ** KEPT (pick-wt=10): 273 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 3.93/4.07 ** KEPT (pick-wt=15): 274 [] antisymmetric($c3)| -in(ordered_pair(A,B),$c3)| -in(ordered_pair(B,A),$c3)|A=B.
% 3.93/4.07 ** KEPT (pick-wt=7): 275 [] -antisymmetric($c3)|in(ordered_pair($c2,$c1),$c3).
% 3.93/4.07 ** KEPT (pick-wt=7): 276 [] -antisymmetric($c3)|in(ordered_pair($c1,$c2),$c3).
% 3.93/4.07 ** KEPT (pick-wt=5): 277 [] -antisymmetric($c3)|$c2!=$c1.
% 3.93/4.07 ** KEPT (pick-wt=12): 278 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.93/4.07 ** KEPT (pick-wt=11): 279 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.93/4.07 ** KEPT (pick-wt=7): 280 [] subset(A,singleton(B))|A!=empty_set.
% 3.93/4.07 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.93/4.07 ** KEPT (pick-wt=7): 281 [] -in(A,B)|subset(A,union(B)).
% 3.93/4.07 ** KEPT (pick-wt=10): 282 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.93/4.07 ** KEPT (pick-wt=10): 283 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.93/4.07 ** KEPT (pick-wt=13): 284 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.93/4.07 ** KEPT (pick-wt=9): 285 [] -in($f76(A,B),B)|element(A,powerset(B)).
% 3.93/4.07 ** KEPT (pick-wt=14): 286 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=13): 287 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.93/4.07 ** KEPT (pick-wt=17): 288 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 3.93/4.07 ** KEPT (pick-wt=5): 289 [] empty(A)| -empty($f77(A)).
% 3.93/4.07 ** KEPT (pick-wt=2): 290 [] -empty($c10).
% 3.93/4.07 ** KEPT (pick-wt=2): 291 [] -empty($c11).
% 3.93/4.07 ** KEPT (pick-wt=2): 292 [] -empty($c13).
% 3.93/4.07 ** KEPT (pick-wt=11): 293 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 3.93/4.07 ** KEPT (pick-wt=11): 294 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 3.93/4.07 ** KEPT (pick-wt=16): 295 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 3.93/4.07 ** KEPT (pick-wt=10): 296 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 3.93/4.07 ** KEPT (pick-wt=10): 297 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 3.93/4.07 ** KEPT (pick-wt=5): 299 [copy,298,factor_simp] -ordinal(A)|ordinal_subset(A,A).
% 3.93/4.07 ** KEPT (pick-wt=6): 300 [] -disjoint(A,B)|disjoint(B,A).
% 3.93/4.07 Following clause subsumed by 282 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.93/4.07 Following clause subsumed by 283 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.93/4.07 Following clause subsumed by 284 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.93/4.07 ** KEPT (pick-wt=13): 301 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.93/4.07 ** KEPT (pick-wt=11): 302 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 3.93/4.07 ** KEPT (pick-wt=12): 303 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=15): 304 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=8): 305 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 3.93/4.07 ** KEPT (pick-wt=7): 306 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 3.93/4.07 ** KEPT (pick-wt=9): 307 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=10): 308 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.93/4.07 ** KEPT (pick-wt=10): 309 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.93/4.07 ** KEPT (pick-wt=11): 310 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 3.93/4.07 ** KEPT (pick-wt=13): 311 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.93/4.07 ** KEPT (pick-wt=8): 312 [] -subset(A,B)|set_union2(A,B)=B.
% 3.93/4.07 ** KEPT (pick-wt=11): 313 [] -in(A,$f79(B))| -subset(C,A)|in(C,$f79(B)).
% 3.93/4.07 ** KEPT (pick-wt=9): 314 [] -in(A,$f79(B))|in(powerset(A),$f79(B)).
% 3.93/4.07 ** KEPT (pick-wt=12): 315 [] -subset(A,$f79(B))|are_e_quipotent(A,$f79(B))|in(A,$f79(B)).
% 3.93/4.07 ** KEPT (pick-wt=13): 317 [copy,316,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 3.93/4.07 ** KEPT (pick-wt=14): 318 [] -relation(A)| -in(B,relation_image(A,C))|in($f80(B,C,A),relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=15): 319 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f80(B,C,A),B),A).
% 3.93/4.07 ** KEPT (pick-wt=13): 320 [] -relation(A)| -in(B,relation_image(A,C))|in($f80(B,C,A),C).
% 3.93/4.07 ** KEPT (pick-wt=19): 321 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 3.93/4.07 ** KEPT (pick-wt=8): 322 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=11): 323 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 3.93/4.07 ** KEPT (pick-wt=12): 325 [copy,324,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 3.93/4.07 ** KEPT (pick-wt=13): 326 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 3.93/4.07 ** KEPT (pick-wt=9): 328 [copy,327,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=15): 329 [] -relation(A)| -function(A)| -subset(B,relation_rng(A))|relation_image(A,relation_inverse_image(A,B))=B.
% 3.93/4.07 ** KEPT (pick-wt=13): 330 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=14): 331 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f81(B,C,A),relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=15): 332 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f81(B,C,A)),A).
% 3.93/4.07 ** KEPT (pick-wt=13): 333 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f81(B,C,A),C).
% 3.93/4.07 ** KEPT (pick-wt=19): 334 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 3.93/4.07 ** KEPT (pick-wt=8): 335 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=14): 336 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 3.93/4.07 ** KEPT (pick-wt=12): 337 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 3.93/4.07 ** KEPT (pick-wt=11): 338 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.93/4.07 ** KEPT (pick-wt=6): 339 [] -in(A,B)|element(A,B).
% 3.93/4.07 ** KEPT (pick-wt=9): 340 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.93/4.07 ** KEPT (pick-wt=11): 341 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=11): 342 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 3.93/4.07 ** KEPT (pick-wt=18): 343 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 3.93/4.07 ** KEPT (pick-wt=20): 344 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 3.93/4.07 ** KEPT (pick-wt=24): 345 [] -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)).
% 3.93/4.07 ** KEPT (pick-wt=10): 346 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 3.93/4.07 ** KEPT (pick-wt=9): 347 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.93/4.07 ** KEPT (pick-wt=25): 348 [] -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)).
% 3.93/4.07 ** KEPT (pick-wt=23): 349 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 3.93/4.07 ** KEPT (pick-wt=7): 350 [] -ordinal(A)| -in(B,A)|ordinal(B).
% 3.93/4.08 ** KEPT (pick-wt=13): 351 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 3.93/4.08 ** KEPT (pick-wt=12): 352 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.93/4.08 ** KEPT (pick-wt=12): 353 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.93/4.08 ** KEPT (pick-wt=10): 354 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.93/4.08 ** KEPT (pick-wt=8): 355 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.93/4.08 Following clause subsumed by 100 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.93/4.08 ** KEPT (pick-wt=13): 356 [] -in($f82(A,B),A)| -in($f82(A,B),B)|A=B.
% 3.93/4.08 ** KEPT (pick-wt=11): 357 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 3.93/4.08 ** KEPT (pick-wt=11): 358 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 3.93/4.08 ** KEPT (pick-wt=9): 359 [] -ordinal($f83(A))| -subset($f83(A),A)|ordinal(A).
% 3.93/4.08 ** KEPT (pick-wt=12): 360 [] -ordinal(A)| -subset(B,A)|B=empty_set|ordinal($f84(B,A)).
% 3.93/4.08 ** KEPT (pick-wt=13): 361 [] -ordinal(A)| -subset(B,A)|B=empty_set|in($f84(B,A),B).
% 3.93/4.08 ** KEPT (pick-wt=18): 362 [] -ordinal(A)| -subset(B,A)|B=empty_set| -ordinal(C)| -in(C,B)|ordinal_subset($f84(B,A),C).
% 3.93/4.08 ** KEPT (pick-wt=11): 363 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 3.93/4.08 ** KEPT (pick-wt=11): 364 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 3.93/4.08 ** KEPT (pick-wt=10): 365 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.93/4.08 ** KEPT (pick-wt=10): 366 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.93/4.08 ** KEPT (pick-wt=10): 367 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.93/4.08 ** KEPT (pick-wt=12): 368 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 3.93/4.08 ** KEPT (pick-wt=16): 369 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 3.93/4.08 ** KEPT (pick-wt=17): 370 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f85(B,A),B).
% 3.93/4.08 ** KEPT (pick-wt=21): 371 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f85(B,A))!=$f85(B,A).
% 3.93/4.08 ** KEPT (pick-wt=9): 372 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 3.93/4.08 ** KEPT (pick-wt=8): 373 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.93/4.08 ** KEPT (pick-wt=8): 375 [copy,374,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 3.93/4.08 Following clause subsumed by 271 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.93/4.08 Following clause subsumed by 272 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.93/4.08 Following clause subsumed by 269 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 3.93/4.08 Following clause subsumed by 270 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 3.93/4.08 ** KEPT (pick-wt=8): 376 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.93/4.08 ** KEPT (pick-wt=8): 377 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.93/4.08 ** KEPT (pick-wt=11): 378 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.93/4.08 Following clause subsumed by 279 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.93/4.08 Following clause subsumed by 280 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.93/4.08 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.93/4.08 ** KEPT (pick-wt=9): 379 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.93/4.08 ** KEPT (pick-wt=7): 380 [] -element(A,powerset(B))|subset(A,B).
% 3.93/4.08 ** KEPT (pick-wt=7): 381 [] element(A,powerset(B))| -subset(A,B).
% 3.93/4.08 ** KEPT (pick-wt=9): 382 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 3.93/4.08 ** KEPT (pick-wt=6): 383 [] -subset(A,empty_set)|A=empty_set.
% 3.93/4.08 ** KEPT (pick-wt=13): 384 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 3.93/4.08 ** KEPT (pick-wt=7): 385 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f87(A)).
% 3.93/4.08 ** KEPT (pick-wt=8): 386 [] -ordinal(A)|being_limit_ordinal(A)|in($f87(A),A).
% 3.93/4.08 ** KEPT (pick-wt=9): 387 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f87(A)),A).
% 3.93/4.08 ** KEPT (pick-wt=7): 388 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f88(A)).
% 3.93/4.08 ** KEPT (pick-wt=9): 390 [copy,389,flip.3] -ordinal(A)|being_limit_ordinal(A)|succ($f88(A))=A.
% 3.93/4.08 ** KEPT (pick-wt=10): 391 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 3.93/4.08 ** KEPT (pick-wt=16): 392 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 3.93/4.08 ** KEPT (pick-wt=16): 393 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 3.93/4.08 ** KEPT (pick-wt=11): 394 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.93/4.08 ** KEPT (pick-wt=11): 395 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.93/4.08 ** KEPT (pick-wt=10): 397 [copy,396,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 3.93/4.08 ** KEPT (pick-wt=16): 398 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.93/4.08 ** KEPT (pick-wt=13): 399 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 3.93/4.08 Following clause subsumed by 263 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.93/4.08 ** KEPT (pick-wt=16): 400 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.93/4.08 ** KEPT (pick-wt=21): 401 [] -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)).
% 3.93/4.08 ** KEPT (pick-wt=21): 402 [] -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)).
% 3.93/4.08 ** KEPT (pick-wt=10): 403 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.93/4.08 ** KEPT (pick-wt=8): 404 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 3.93/4.08 ** KEPT (pick-wt=18): 405 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.93/4.08 ** KEPT (pick-wt=19): 406 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.93/4.08 ** KEPT (pick-wt=27): 407 [] -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)).
% 3.93/4.08 ** KEPT (pick-wt=28): 408 [] -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).
% 3.93/4.08 ** KEPT (pick-wt=27): 409 [] -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)).
% 3.93/4.08 ** KEPT (pick-wt=28): 410 [] -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).
% 3.93/4.08 ** KEPT (pick-wt=31): 411 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f91(A,B),relation_rng(A))|in($f90(A,B),relation_dom(A)).
% 3.93/4.08 ** KEPT (pick-wt=34): 413 [copy,412,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f91(A,B),relation_rng(A))|apply(A,$f90(A,B))=$f91(A,B).
% 3.93/4.08 ** KEPT (pick-wt=34): 415 [copy,414,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,$f91(A,B))=$f90(A,B)|in($f90(A,B),relation_dom(A)).
% 3.93/4.08 ** KEPT (pick-wt=37): 417 [copy,416,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f91(A,B))=$f90(A,B)|apply(A,$f90(A,B))=$f91(A,B).
% 3.93/4.08 ** KEPT (pick-wt=49): 419 [copy,418,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f90(A,B),relation_dom(A))|apply(A,$f90(A,B))!=$f91(A,B)| -in($f91(A,B),relation_rng(A))|apply(B,$f91(A,B))!=$f90(A,B).
% 3.93/4.08 ** KEPT (pick-wt=12): 420 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 3.93/4.08 ** KEPT (pick-wt=12): 421 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 4.02/4.14 ** KEPT (pick-wt=12): 423 [copy,422,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 4.02/4.14 ** KEPT (pick-wt=12): 424 [] -relation(A)|in(ordered_pair($f93(A),$f92(A)),A)|A=empty_set.
% 4.02/4.14 ** KEPT (pick-wt=18): 426 [copy,425,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 4.02/4.14 ** KEPT (pick-wt=18): 428 [copy,427,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 4.02/4.14 ** KEPT (pick-wt=9): 429 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 4.02/4.14 ** KEPT (pick-wt=6): 430 [] -subset(A,B)| -proper_subset(B,A).
% 4.02/4.14 ** KEPT (pick-wt=9): 431 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 4.02/4.14 ** KEPT (pick-wt=9): 432 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 4.02/4.14 ** KEPT (pick-wt=9): 433 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 4.02/4.14 ** KEPT (pick-wt=9): 434 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 4.02/4.14 ** KEPT (pick-wt=10): 435 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 4.02/4.14 ** KEPT (pick-wt=10): 436 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 4.02/4.14 ** KEPT (pick-wt=9): 437 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 4.02/4.14 ** KEPT (pick-wt=20): 438 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 4.02/4.14 ** KEPT (pick-wt=24): 439 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)| -in(D,relation_dom(A))|apply(A,D)=apply(B,D).
% 4.02/4.14 ** KEPT (pick-wt=27): 440 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f94(C,A,B),relation_dom(A)).
% 4.02/4.14 ** KEPT (pick-wt=33): 441 [] -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,$f94(C,A,B))!=apply(B,$f94(C,A,B)).
% 4.02/4.14 ** KEPT (pick-wt=5): 442 [] -empty(A)|A=empty_set.
% 4.02/4.14 ** KEPT (pick-wt=8): 443 [] -subset(singleton(A),singleton(B))|A=B.
% 4.02/4.14 ** KEPT (pick-wt=19): 444 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 4.02/4.14 ** KEPT (pick-wt=16): 445 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 4.02/4.14 ** KEPT (pick-wt=13): 446 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 4.02/4.14 ** KEPT (pick-wt=15): 447 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 4.02/4.14 ** KEPT (pick-wt=18): 448 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 4.02/4.14 ** KEPT (pick-wt=5): 449 [] -in(A,B)| -empty(B).
% 4.02/4.14 ** KEPT (pick-wt=8): 450 [] -in(A,B)|in($f95(A,B),B).
% 4.02/4.14 ** KEPT (pick-wt=11): 451 [] -in(A,B)| -in(C,B)| -in(C,$f95(A,B)).
% 4.02/4.14 ** KEPT (pick-wt=8): 452 [] -disjoint(A,B)|set_difference(A,B)=A.
% 4.02/4.14 ** KEPT (pick-wt=8): 453 [] disjoint(A,B)|set_difference(A,B)!=A.
% 4.02/4.14 ** KEPT (pick-wt=11): 454 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 4.02/4.14 ** KEPT (pick-wt=12): 455 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 4.02/4.14 ** KEPT (pick-wt=15): 456 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 4.02/4.14 ** KEPT (pick-wt=7): 457 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 4.02/4.14 ** KEPT (pick-wt=7): 458 [] -empty(A)|A=B| -empty(B).
% 4.02/4.14 Following clause subsumed by 341 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 4.02/4.14 ** KEPT (pick-wt=14): 459 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 4.02/4.14 Following clause subsumed by 133 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 4.02/4.14 ** KEPT (pick-wt=11): 460 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 4.02/4.14 ** KEPT (pick-wt=9): 461 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 4.02/4.14 ** KEPT (pick-wt=11): 462 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 4.02/4.14 Following clause subsumed by 281 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 4.02/4.14 ** KEPT (pick-wt=10): 463 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 4.02/4.14 ** KEPT (pick-wt=9): 464 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 4.02/4.14 ** KEPT (pick-wt=11): 465 [] -in(A,$f97(B))| -subset(C,A)|in(C,$f97(B)).
% 4.02/4.14 ** KEPT (pick-wt=10): 466 [] -in(A,$f97(B))|in($f96(B,A),$f97(B)).
% 4.02/4.14 ** KEPT (pick-wt=12): 467 [] -in(A,$f97(B))| -subset(C,A)|in(C,$f96(B,A)).
% 4.02/4.14 ** KEPT (pick-wt=12): 468 [] -subset(A,$f97(B))|are_e_quipotent(A,$f97(B))|in(A,$f97(B)).
% 4.02/4.14 ** KEPT (pick-wt=9): 469 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 4.02/4.14 127 back subsumes 124.
% 4.02/4.14 339 back subsumes 101.
% 4.02/4.14 454 back subsumes 287.
% 4.02/4.14 455 back subsumes 286.
% 4.02/4.14 456 back subsumes 288.
% 4.02/4.14 459 back subsumes 134.
% 4.02/4.14 475 back subsumes 474.
% 4.02/4.14 483 back subsumes 482.
% 4.02/4.14
% 4.02/4.14 ------------> process sos:
% 4.02/4.14 ** KEPT (pick-wt=3): 620 [] A=A.
% 4.02/4.14 ** KEPT (pick-wt=7): 621 [] unordered_pair(A,B)=unordered_pair(B,A).
% 4.02/4.14 ** KEPT (pick-wt=7): 622 [] set_union2(A,B)=set_union2(B,A).
% 4.02/4.14 ** KEPT (pick-wt=7): 623 [] set_intersection2(A,B)=set_intersection2(B,A).
% 4.02/4.14 ** KEPT (pick-wt=34): 624 [] 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.
% 4.02/4.14 ** KEPT (pick-wt=7): 625 [] succ(A)=set_union2(A,singleton(A)).
% 4.02/4.14 ---> New Demodulator: 626 [new_demod,625] succ(A)=set_union2(A,singleton(A)).
% 4.02/4.14 ** KEPT (pick-wt=6): 627 [] relation(A)|in($f20(A),A).
% 4.02/4.14 ** KEPT (pick-wt=14): 628 [] A=singleton(B)|in($f25(B,A),A)|$f25(B,A)=B.
% 4.02/4.14 ** KEPT (pick-wt=7): 629 [] A=empty_set|in($f26(A),A).
% 4.02/4.14 ** KEPT (pick-wt=14): 630 [] A=powerset(B)|in($f27(B,A),A)|subset($f27(B,A),B).
% 4.02/4.14 ** KEPT (pick-wt=6): 631 [] epsilon_transitive(A)|in($f28(A),A).
% 4.02/4.14 ** KEPT (pick-wt=23): 632 [] A=unordered_pair(B,C)|in($f31(B,C,A),A)|$f31(B,C,A)=B|$f31(B,C,A)=C.
% 4.02/4.14 ** KEPT (pick-wt=23): 633 [] A=set_union2(B,C)|in($f32(B,C,A),A)|in($f32(B,C,A),B)|in($f32(B,C,A),C).
% 4.02/4.14 ** KEPT (pick-wt=17): 634 [] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|in($f36(B,C,A),B).
% 4.02/4.14 ** KEPT (pick-wt=17): 635 [] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|in($f35(B,C,A),C).
% 4.02/4.14 ** KEPT (pick-wt=25): 637 [copy,636,flip.3] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|ordered_pair($f36(B,C,A),$f35(B,C,A))=$f37(B,C,A).
% 4.02/4.14 ** KEPT (pick-wt=6): 638 [] epsilon_connected(A)|in($f39(A),A).
% 4.02/4.14 ** KEPT (pick-wt=6): 639 [] epsilon_connected(A)|in($f38(A),A).
% 4.02/4.14 ** KEPT (pick-wt=8): 640 [] subset(A,B)|in($f42(A,B),A).
% 4.02/4.14 ** KEPT (pick-wt=17): 641 [] A=set_intersection2(B,C)|in($f43(B,C,A),A)|in($f43(B,C,A),B).
% 4.02/4.14 ** KEPT (pick-wt=17): 642 [] A=set_intersection2(B,C)|in($f43(B,C,A),A)|in($f43(B,C,A),C).
% 4.02/4.14 ** KEPT (pick-wt=4): 643 [] cast_to_subset(A)=A.
% 4.02/4.14 ---> New Demodulator: 644 [new_demod,643] cast_to_subset(A)=A.
% 4.02/4.14 ** KEPT (pick-wt=16): 645 [] A=union(B)|in($f51(B,A),A)|in($f51(B,A),$f50(B,A)).
% 4.02/4.14 ** KEPT (pick-wt=14): 646 [] A=union(B)|in($f51(B,A),A)|in($f50(B,A),B).
% 4.02/4.14 ** KEPT (pick-wt=17): 647 [] A=set_difference(B,C)|in($f52(B,C,A),A)|in($f52(B,C,A),B).
% 4.02/4.14 ** KEPT (pick-wt=10): 649 [copy,648,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 4.02/4.14 ---> New Demodulator: 650 [new_demod,649] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 4.02/4.14 ** KEPT (pick-wt=4): 652 [copy,651,demod,644] element(A,powerset(A)).
% 4.02/4.14 ** KEPT (pick-wt=3): 653 [] relation(identity_relation(A)).
% 4.02/4.14 ** KEPT (pick-wt=4): 654 [] element($f71(A),A).
% 4.02/4.14 ** KEPT (pick-wt=2): 655 [] empty(empty_set).
% 4.02/4.14 ** KEPT (pick-wt=2): 656 [] relation(empty_set).
% 4.02/4.14 ** KEPT (pick-wt=2): 657 [] relation_empty_yielding(empty_set).
% 4.02/4.14 Following clause subsumed by 655 during input processing: 0 [] empty(empty_set).
% 4.02/4.14 Following clause subsumed by 653 during input processing: 0 [] relation(identity_relation(A)).
% 4.02/4.14 ** KEPT (pick-wt=3): 658 [] function(identity_relation(A)).
% 4.02/4.14 Following clause subsumed by 656 during input processing: 0 [] relation(empty_set).
% 4.02/4.15 Following clause subsumed by 657 during input processing: 0 [] relation_empty_yielding(empty_set).
% 4.02/4.15 ** KEPT (pick-wt=2): 659 [] function(empty_set).
% 4.02/4.15 ** KEPT (pick-wt=2): 660 [] one_to_one(empty_set).
% 4.02/4.15 Following clause subsumed by 655 during input processing: 0 [] empty(empty_set).
% 4.02/4.15 ** KEPT (pick-wt=2): 661 [] epsilon_transitive(empty_set).
% 4.02/4.15 ** KEPT (pick-wt=2): 662 [] epsilon_connected(empty_set).
% 4.02/4.15 ** KEPT (pick-wt=2): 663 [] ordinal(empty_set).
% 4.02/4.15 Following clause subsumed by 655 during input processing: 0 [] empty(empty_set).
% 4.02/4.15 Following clause subsumed by 656 during input processing: 0 [] relation(empty_set).
% 4.02/4.15 ** KEPT (pick-wt=5): 664 [] set_union2(A,A)=A.
% 4.02/4.15 ---> New Demodulator: 665 [new_demod,664] set_union2(A,A)=A.
% 4.02/4.15 ** KEPT (pick-wt=5): 666 [] set_intersection2(A,A)=A.
% 4.02/4.15 ---> New Demodulator: 667 [new_demod,666] set_intersection2(A,A)=A.
% 4.02/4.15 ** KEPT (pick-wt=7): 668 [] in(A,B)|disjoint(singleton(A),B).
% 4.02/4.15 ** KEPT (pick-wt=2): 669 [] relation($c3).
% 4.02/4.15 ** KEPT (pick-wt=9): 670 [] in($f76(A,B),A)|element(A,powerset(B)).
% 4.02/4.15 ** KEPT (pick-wt=2): 671 [] relation($c4).
% 4.02/4.15 ** KEPT (pick-wt=2): 672 [] function($c4).
% 4.02/4.15 ** KEPT (pick-wt=2): 673 [] epsilon_transitive($c5).
% 4.02/4.15 ** KEPT (pick-wt=2): 674 [] epsilon_connected($c5).
% 4.02/4.15 ** KEPT (pick-wt=2): 675 [] ordinal($c5).
% 4.02/4.15 ** KEPT (pick-wt=2): 676 [] empty($c6).
% 4.02/4.15 ** KEPT (pick-wt=2): 677 [] relation($c6).
% 4.02/4.15 ** KEPT (pick-wt=7): 678 [] empty(A)|element($f77(A),powerset(A)).
% 4.02/4.15 ** KEPT (pick-wt=2): 679 [] empty($c7).
% 4.02/4.15 ** KEPT (pick-wt=2): 680 [] relation($c8).
% 4.02/4.15 ** KEPT (pick-wt=2): 681 [] empty($c8).
% 4.02/4.15 ** KEPT (pick-wt=2): 682 [] function($c8).
% 4.02/4.15 ** KEPT (pick-wt=2): 683 [] relation($c9).
% 4.02/4.15 ** KEPT (pick-wt=2): 684 [] function($c9).
% 4.02/4.15 ** KEPT (pick-wt=2): 685 [] one_to_one($c9).
% 4.02/4.15 ** KEPT (pick-wt=2): 686 [] empty($c9).
% 4.02/4.15 ** KEPT (pick-wt=2): 687 [] epsilon_transitive($c9).
% 4.02/4.15 ** KEPT (pick-wt=2): 688 [] epsilon_connected($c9).
% 4.02/4.15 ** KEPT (pick-wt=2): 689 [] ordinal($c9).
% 4.02/4.15 ** KEPT (pick-wt=2): 690 [] relation($c10).
% 4.02/4.15 ** KEPT (pick-wt=5): 691 [] element($f78(A),powerset(A)).
% 4.02/4.15 ** KEPT (pick-wt=3): 692 [] empty($f78(A)).
% 4.02/4.15 ** KEPT (pick-wt=2): 693 [] relation($c12).
% 4.02/4.15 ** KEPT (pick-wt=2): 694 [] function($c12).
% 4.02/4.15 ** KEPT (pick-wt=2): 695 [] one_to_one($c12).
% 4.02/4.15 ** KEPT (pick-wt=2): 696 [] epsilon_transitive($c13).
% 4.02/4.15 ** KEPT (pick-wt=2): 697 [] epsilon_connected($c13).
% 4.02/4.15 ** KEPT (pick-wt=2): 698 [] ordinal($c13).
% 4.02/4.15 ** KEPT (pick-wt=2): 699 [] relation($c14).
% 4.02/4.15 ** KEPT (pick-wt=2): 700 [] relation_empty_yielding($c14).
% 4.02/4.15 ** KEPT (pick-wt=2): 701 [] relation($c15).
% 4.02/4.15 ** KEPT (pick-wt=2): 702 [] relation_empty_yielding($c15).
% 4.02/4.15 ** KEPT (pick-wt=2): 703 [] function($c15).
% 4.02/4.15 ** KEPT (pick-wt=3): 704 [] subset(A,A).
% 4.02/4.15 ** KEPT (pick-wt=6): 706 [copy,705,demod,626] in(A,set_union2(A,singleton(A))).
% 4.02/4.15 ** KEPT (pick-wt=4): 707 [] in(A,$f79(A)).
% 4.02/4.15 ** KEPT (pick-wt=5): 708 [] subset(set_intersection2(A,B),A).
% 4.02/4.15 ** KEPT (pick-wt=5): 709 [] set_union2(A,empty_set)=A.
% 4.02/4.15 ---> New Demodulator: 710 [new_demod,709] set_union2(A,empty_set)=A.
% 4.02/4.15 ** KEPT (pick-wt=5): 712 [copy,711,flip.1] singleton(empty_set)=powerset(empty_set).
% 4.02/4.15 ---> New Demodulator: 713 [new_demod,712] singleton(empty_set)=powerset(empty_set).
% 4.02/4.15 ** KEPT (pick-wt=5): 714 [] set_intersection2(A,empty_set)=empty_set.
% 4.02/4.15 ---> New Demodulator: 715 [new_demod,714] set_intersection2(A,empty_set)=empty_set.
% 4.02/4.15 ** KEPT (pick-wt=13): 716 [] in($f82(A,B),A)|in($f82(A,B),B)|A=B.
% 4.02/4.15 ** KEPT (pick-wt=3): 717 [] subset(empty_set,A).
% 4.02/4.15 ** KEPT (pick-wt=6): 718 [] in($f83(A),A)|ordinal(A).
% 4.02/4.15 ** KEPT (pick-wt=5): 719 [] subset(set_difference(A,B),A).
% 4.02/4.15 ** KEPT (pick-wt=9): 720 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.02/4.15 ---> New Demodulator: 721 [new_demod,720] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.02/4.15 ** KEPT (pick-wt=5): 722 [] set_difference(A,empty_set)=A.
% 4.02/4.15 ---> New Demodulator: 723 [new_demod,722] set_difference(A,empty_set)=A.
% 4.02/4.15 ** KEPT (pick-wt=8): 724 [] disjoint(A,B)|in($f86(A,B),A).
% 4.02/4.15 ** KEPT (pick-wt=8): 725 [] disjoint(A,B)|in($f86(A,B),B).
% 4.02/4.15 ** KEPT (pick-wt=9): 726 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.02/4.15 ---> New Demodulator: 727 [new_demod,726] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.02/4.15 ** KEPT (pick-wt=9): 729 [copy,728,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 4.02/4.15 ---> New Demodulator: 730 [new_demod,729] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 4.02/4.15 ** KEPT (pick-wt=5): 731 [] set_difference(empty_set,A)=empty_set.
% 4.02/4.15 ---> New Demodulator: 732 [new_demod,731] set_difference(empty_set,A)=empty_set.
% 4.02/4.15 ** KEPT (pick-wt=12): 734 [copy,733,demod,730] disjoint(A,B)|in($f89(A,B),set_difference(A,set_difference(A,B))).
% 4.02/4.15 ** KEPT (pick-wt=4): 735 [] relation_dom(empty_set)=empty_set.
% 4.02/4.15 ---> New Demodulator: 736 [new_demod,735] relation_dom(empty_set)=empty_set.
% 4.02/4.15 ** KEPT (pick-wt=4): 737 [] relation_rng(empty_set)=empty_set.
% 4.02/4.15 ---> New Demodulator: 738 [new_demod,737] relation_rng(empty_set)=empty_set.
% 4.02/4.15 ** KEPT (pick-wt=9): 739 [] set_difference(A,singleton(B))=A|in(B,A).
% 4.02/4.15 ** KEPT (pick-wt=6): 741 [copy,740,flip.1] singleton(A)=unordered_pair(A,A).
% 4.02/4.15 ---> New Demodulator: 742 [new_demod,741] singleton(A)=unordered_pair(A,A).
% 4.02/4.15 ** KEPT (pick-wt=5): 743 [] relation_dom(identity_relation(A))=A.
% 4.02/4.15 ---> New Demodulator: 744 [new_demod,743] relation_dom(identity_relation(A))=A.
% 4.02/4.15 ** KEPT (pick-wt=5): 745 [] relation_rng(identity_relation(A))=A.
% 4.02/4.15 ---> New Demodulator: 746 [new_demod,745] relation_rng(identity_relation(A))=A.
% 4.02/4.15 ** KEPT (pick-wt=5): 747 [] subset(A,set_union2(A,B)).
% 4.02/4.15 ** KEPT (pick-wt=5): 748 [] union(powerset(A))=A.
% 4.02/4.15 ---> New Demodulator: 749 [new_demod,748] union(powerset(A))=A.
% 4.02/4.15 ** KEPT (pick-wt=4): 750 [] in(A,$f97(A)).
% 4.02/4.15 Following clause subsumed by 620 during input processing: 0 [copy,620,flip.1] A=A.
% 4.02/4.15 620 back subsumes 606.
% 4.02/4.15 620 back subsumes 601.
% 4.02/4.15 620 back subsumes 578.
% 4.02/4.15 620 back subsumes 575.
% 4.02/4.15 620 back subsumes 559.
% 4.02/4.15 620 back subsumes 522.
% 4.02/4.15 620 back subsumes 513.
% 4.02/4.15 620 back subsumes 506.
% 4.02/4.15 620 back subsumes 496.
% 4.02/4.15 620 back subsumes 495.
% 4.02/4.15 620 back subsumes 472.
% 4.02/4.15 Following clause subsumed by 621 during input processing: 0 [copy,621,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 4.02/4.15 Following clause subsumed by 622 during input processing: 0 [copy,622,flip.1] set_union2(A,B)=set_union2(B,A).
% 4.02/4.15 ** KEPT (pick-wt=11): 751 [copy,623,flip.1,demod,730,730] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 4.02/4.15 >>>> Starting back demodulation with 626.
% 4.02/4.15 >> back demodulating 583 with 626.
% 4.02/4.15 >> back demodulating 580 with 626.
% 4.02/4.15 >> back demodulating 391 with 626.
% 4.02/4.15 >> back demodulating 390 with 626.
% 4.02/4.15 >> back demodulating 387 with 626.
% 4.02/4.15 >> back demodulating 384 with 626.
% 4.02/4.15 >> back demodulating 364 with 626.
% 4.02/4.15 >> back demodulating 363 with 626.
% 4.02/4.15 >> back demodulating 238 with 626.
% 4.02/4.15 >> back demodulating 237 with 626.
% 4.02/4.15 >> back demodulating 236 with 626.
% 4.02/4.15 >> back demodulating 228 with 626.
% 4.02/4.15 >>>> Starting back demodulation with 644.
% 4.02/4.15 >> back demodulating 402 with 644.
% 4.02/4.15 >> back demodulating 401 with 644.
% 4.02/4.15 >>>> Starting back demodulation with 650.
% 4.02/4.15 >>>> Starting back demodulation with 665.
% 4.02/4.15 >> back demodulating 607 with 665.
% 4.02/4.15 >> back demodulating 556 with 665.
% 4.02/4.15 >> back demodulating 499 with 665.
% 4.02/4.15 >>>> Starting back demodulation with 667.
% 4.02/4.15 >> back demodulating 611 with 667.
% 4.02/4.15 >> back demodulating 569 with 667.
% 4.02/4.15 >> back demodulating 555 with 667.
% 4.02/4.15 >> back demodulating 512 with 667.
% 4.02/4.15 >> back demodulating 509 with 667.
% 4.02/4.15 704 back subsumes 577.
% 4.02/4.15 704 back subsumes 576.
% 4.02/4.15 704 back subsumes 562.
% 4.02/4.15 704 back subsumes 508.
% 4.02/4.15 704 back subsumes 507.
% 4.02/4.15 >>>> Starting back demodulation with 710.
% 4.02/4.15 >>>> Starting back demodulation with 713.
% 4.02/4.15 >>>> Starting back demodulation with 715.
% 4.02/4.15 >>>> Starting back demodulation with 721.
% 4.02/4.15 >> back demodulating 397 with 721.
% 4.02/4.15 >>>> Starting back demodulation with 723.
% 4.02/4.15 >>>> Starting back demodulation with 727.
% 4.02/4.15 >>>> Starting back demodulation with 730.
% 4.02/4.15 >> back demodulating 714 with 730.
% 4.02/4.15 >> back demodulating 708 with 730.
% 4.02/4.15 >> back demodulating 666 with 730.
% 4.02/4.15 >> back demodulating 642 with 730.
% 4.02/4.15 >> back demodulating 641 with 730.
% 4.02/4.15 >> back demodulating 623 with 730.
% 4.02/4.15 >> back demodulating 603 with 730.
% 4.02/4.15 >> back demodulating 602 with 730.
% 4.02/4.15 >> back demodulating 600 with 730.
% 4.02/4.15 >> back demodulating 511 with 730.
% 38.59/38.75 >> back demodulating 510 with 730.
% 38.59/38.75 >> back demodulating 462 with 730.
% 38.59/38.75 >> back demodulating 441 with 730.
% 38.59/38.75 >> back demodulating 440 with 730.
% 38.59/38.75 >> back demodulating 438 with 730.
% 38.59/38.75 >> back demodulating 404 with 730.
% 38.59/38.75 >> back demodulating 355 with 730.
% 38.59/38.75 >> back demodulating 354 with 730.
% 38.59/38.75 >> back demodulating 338 with 730.
% 38.59/38.75 >> back demodulating 325 with 730.
% 38.59/38.75 >> back demodulating 310 with 730.
% 38.59/38.75 >> back demodulating 229 with 730.
% 38.59/38.75 >> back demodulating 180 with 730.
% 38.59/38.75 >> back demodulating 179 with 730.
% 38.59/38.75 >> back demodulating 132 with 730.
% 38.59/38.75 >> back demodulating 131 with 730.
% 38.59/38.75 >> back demodulating 130 with 730.
% 38.59/38.75 >> back demodulating 129 with 730.
% 38.59/38.75 >>>> Starting back demodulation with 732.
% 38.59/38.75 >>>> Starting back demodulation with 736.
% 38.59/38.75 >>>> Starting back demodulation with 738.
% 38.59/38.75 >>>> Starting back demodulation with 742.
% 38.59/38.75 >> back demodulating 739 with 742.
% 38.59/38.75 >> back demodulating 712 with 742.
% 38.59/38.75 >> back demodulating 706 with 742.
% 38.59/38.75 >> back demodulating 668 with 742.
% 38.59/38.75 >> back demodulating 649 with 742.
% 38.59/38.75 >> back demodulating 628 with 742.
% 38.59/38.75 >> back demodulating 625 with 742.
% 38.59/38.75 >> back demodulating 469 with 742.
% 38.59/38.75 >> back demodulating 461 with 742.
% 38.59/38.75 >> back demodulating 443 with 742.
% 38.59/38.75 >> back demodulating 437 with 742.
% 38.59/38.75 >> back demodulating 280 with 742.
% 38.59/38.75 >> back demodulating 279 with 742.
% 38.59/38.75 >> back demodulating 278 with 742.
% 38.59/38.75 >> back demodulating 270 with 742.
% 38.59/38.75 >> back demodulating 269 with 742.
% 38.59/38.75 >> back demodulating 264 with 742.
% 38.59/38.75 >> back demodulating 263 with 742.
% 38.59/38.75 >> back demodulating 262 with 742.
% 38.59/38.75 >> back demodulating 233 with 742.
% 38.59/38.75 >> back demodulating 89 with 742.
% 38.59/38.75 >> back demodulating 88 with 742.
% 38.59/38.75 >> back demodulating 87 with 742.
% 38.59/38.75 >>>> Starting back demodulation with 744.
% 38.59/38.75 >>>> Starting back demodulation with 746.
% 38.59/38.75 >>>> Starting back demodulation with 749.
% 38.59/38.75 Following clause subsumed by 751 during input processing: 0 [copy,751,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 38.59/38.75 776 back subsumes 96.
% 38.59/38.75 778 back subsumes 97.
% 38.59/38.75 >>>> Starting back demodulation with 780.
% 38.59/38.75 >> back demodulating 561 with 780.
% 38.59/38.75 >> back demodulating 557 with 780.
% 38.59/38.75 >>>> Starting back demodulation with 805.
% 38.59/38.75 >>>> Starting back demodulation with 809.
% 38.59/38.75 >>>> Starting back demodulation with 812.
% 38.59/38.75
% 38.59/38.75 ======= end of input processing =======
% 38.59/38.75
% 38.59/38.75 =========== start of search ===========
% 38.59/38.75
% 38.59/38.75
% 38.59/38.75 Resetting weight limit to 2.
% 38.59/38.75
% 38.59/38.75
% 38.59/38.75 Resetting weight limit to 2.
% 38.59/38.75
% 38.59/38.75 sos_size=161
% 38.59/38.75
% 38.59/38.75 Search stopped because sos empty.
% 38.59/38.75
% 38.59/38.75
% 38.59/38.75 Search stopped because sos empty.
% 38.59/38.75
% 38.59/38.75 ============ end of search ============
% 38.59/38.75
% 38.59/38.75 -------------- statistics -------------
% 38.59/38.75 clauses given 177
% 38.59/38.75 clauses generated 1459058
% 38.59/38.75 clauses kept 785
% 38.59/38.75 clauses forward subsumed 367
% 38.59/38.75 clauses back subsumed 26
% 38.59/38.75 Kbytes malloced 10742
% 38.59/38.75
% 38.59/38.75 ----------- times (seconds) -----------
% 38.59/38.75 user CPU time 34.72 (0 hr, 0 min, 34 sec)
% 38.59/38.75 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 38.59/38.75 wall-clock time 38 (0 hr, 0 min, 38 sec)
% 38.59/38.75
% 38.59/38.75 Process 15289 finished Wed Jul 27 07:46:45 2022
% 38.59/38.75 Otter interrupted
% 38.59/38.75 PROOF NOT FOUND
%------------------------------------------------------------------------------