TSTP Solution File: SEU267+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU267+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:15:24 EDT 2022
% Result : Unknown 16.01s 16.12s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU267+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 08:05:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.86/5.02 ----- Otter 3.3f, August 2004 -----
% 4.86/5.02 The process was started by sandbox on n026.cluster.edu,
% 4.86/5.02 Wed Jul 27 08:05:09 2022
% 4.86/5.02 The command was "./otter". The process ID is 16712.
% 4.86/5.02
% 4.86/5.02 set(prolog_style_variables).
% 4.86/5.02 set(auto).
% 4.86/5.02 dependent: set(auto1).
% 4.86/5.02 dependent: set(process_input).
% 4.86/5.02 dependent: clear(print_kept).
% 4.86/5.02 dependent: clear(print_new_demod).
% 4.86/5.02 dependent: clear(print_back_demod).
% 4.86/5.02 dependent: clear(print_back_sub).
% 4.86/5.02 dependent: set(control_memory).
% 4.86/5.02 dependent: assign(max_mem, 12000).
% 4.86/5.02 dependent: assign(pick_given_ratio, 4).
% 4.86/5.02 dependent: assign(stats_level, 1).
% 4.86/5.02 dependent: assign(max_seconds, 10800).
% 4.86/5.02 clear(print_given).
% 4.86/5.02
% 4.86/5.02 formula_list(usable).
% 4.86/5.02 all A (A=A).
% 4.86/5.02 all A B (in(A,B)-> -in(B,A)).
% 4.86/5.02 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 4.86/5.02 all A (empty(A)->function(A)).
% 4.86/5.02 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 4.86/5.02 all A (empty(A)->relation(A)).
% 4.86/5.02 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 4.86/5.02 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 4.86/5.02 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 4.86/5.02 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.86/5.02 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 4.86/5.02 all A B (set_union2(A,B)=set_union2(B,A)).
% 4.86/5.02 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 4.86/5.02 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,B)|ordinal_subset(B,A)).
% 4.86/5.02 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 4.86/5.02 all A B (A=B<->subset(A,B)&subset(B,A)).
% 4.86/5.02 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))))))).
% 4.86/5.02 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)))))))).
% 4.86/5.02 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))))))).
% 4.86/5.02 all A (relation(A)-> (antisymmetric(A)<->is_antisymmetric_in(A,relation_field(A)))).
% 4.86/5.02 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)))))).
% 4.86/5.02 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)))))))).
% 4.86/5.02 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)))))))).
% 4.86/5.02 all A (relation(A)-> (connected(A)<->is_connected_in(A,relation_field(A)))).
% 4.86/5.02 all A (relation(A)-> (transitive(A)<->is_transitive_in(A,relation_field(A)))).
% 4.86/5.02 all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 4.86/5.02 all A ((exists B C (A=ordered_pair(B,C)))-> (all B (B=pair_first(A)<-> (all C D (A=ordered_pair(C,D)->B=C))))).
% 4.86/5.02 all A (succ(A)=set_union2(A,singleton(A))).
% 4.86/5.02 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 4.86/5.02 all A (relation(A)-> (all B (is_reflexive_in(A,B)<-> (all C (in(C,B)->in(ordered_pair(C,C),A)))))).
% 4.86/5.02 all A B C (relation_of2(C,A,B)<->subset(C,cartesian_product2(A,B))).
% 4.86/5.02 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))).
% 4.86/5.02 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 4.86/5.02 all A (relation(A)-> (all B C (C=fiber(A,B)<-> (all D (in(D,C)<->D!=B&in(ordered_pair(D,B),A)))))).
% 4.86/5.02 all A (A=empty_set<-> (all B (-in(B,A)))).
% 4.86/5.02 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 4.86/5.02 all A ((exists B C (A=ordered_pair(B,C)))-> (all B (B=pair_second(A)<-> (all C D (A=ordered_pair(C,D)->B=D))))).
% 4.86/5.02 all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 4.86/5.02 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))))))).
% 4.86/5.02 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 4.86/5.02 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 4.86/5.02 all A (relation(A)-> (well_founded_relation(A)<-> (all B (-(subset(B,relation_field(A))&B!=empty_set& (all C (-(in(C,B)&disjoint(fiber(A,C),B))))))))).
% 4.86/5.02 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 4.86/5.02 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)))))).
% 4.86/5.02 all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 4.86/5.02 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))))))).
% 4.86/5.02 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 4.86/5.02 all A (relation(A)-> (all B (is_well_founded_in(A,B)<-> (all C (-(subset(C,B)&C!=empty_set& (all D (-(in(D,C)&disjoint(fiber(A,D),C)))))))))).
% 4.86/5.02 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 4.86/5.02 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))))).
% 4.86/5.02 all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 4.86/5.02 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 4.86/5.02 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))))).
% 4.86/5.02 all A (cast_to_subset(A)=A).
% 4.86/5.02 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 4.86/5.02 all A (relation(A)-> (well_ordering(A)<->reflexive(A)&transitive(A)&antisymmetric(A)&connected(A)&well_founded_relation(A))).
% 4.86/5.02 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 4.86/5.02 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)))))))).
% 4.86/5.02 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 4.86/5.02 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 4.86/5.02 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 4.86/5.02 all A (relation(A)-> (all B (well_orders(A,B)<->is_reflexive_in(A,B)&is_transitive_in(A,B)&is_antisymmetric_in(A,B)&is_connected_in(A,B)&is_well_founded_in(A,B)))).
% 4.86/5.02 all A (being_limit_ordinal(A)<->A=union(A)).
% 4.86/5.02 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 4.86/5.02 all A (relation(A)-> (all B (is_connected_in(A,B)<-> (all C D (-(in(C,B)&in(D,B)&C!=D& -in(ordered_pair(C,D),A)& -in(ordered_pair(D,C),A))))))).
% 4.86/5.02 all A (relation(A)-> (all B (relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B))))).
% 4.86/5.02 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))))))).
% 4.86/5.02 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)<->relation_dom(C)=relation_field(A)&relation_rng(C)=relation_field(B)&one_to_one(C)& (all D E (in(ordered_pair(D,E),A)<->in(D,relation_field(A))&in(E,relation_field(A))&in(ordered_pair(apply(C,D),apply(C,E)),B))))))))).
% 4.86/5.02 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 4.86/5.02 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)))).
% 4.86/5.02 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))))))))))).
% 4.86/5.02 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)))))).
% 4.86/5.02 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)))))))).
% 4.86/5.02 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 4.86/5.02 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 4.86/5.02 all A (relation(A)-> (reflexive(A)<->is_reflexive_in(A,relation_field(A)))).
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 all A element(cast_to_subset(A),powerset(A)).
% 4.86/5.02 $T.
% 4.86/5.02 all A B (relation(A)->relation(relation_restriction(A,B))).
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 all A (relation(A)->relation(relation_inverse(A))).
% 4.86/5.02 all A B C (relation_of2(C,A,B)->element(relation_dom_as_subset(A,B,C),powerset(A))).
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 4.86/5.02 all A B C (relation_of2(C,A,B)->element(relation_rng_as_subset(A,B,C),powerset(B))).
% 4.86/5.02 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 4.86/5.02 all A relation(identity_relation(A)).
% 4.86/5.02 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 4.86/5.02 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 4.86/5.02 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 4.86/5.02 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 4.86/5.02 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 $T.
% 4.86/5.02 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 4.86/5.02 all A B exists C relation_of2(C,A,B).
% 4.86/5.02 all A exists B element(B,A).
% 4.86/5.02 all A B exists C relation_of2_as_subset(C,A,B).
% 4.86/5.02 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 4.86/5.02 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 4.86/5.02 empty(empty_set).
% 4.86/5.02 relation(empty_set).
% 4.86/5.02 relation_empty_yielding(empty_set).
% 4.86/5.02 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 4.86/5.02 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 4.86/5.02 all A (-empty(succ(A))).
% 4.86/5.02 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 4.86/5.02 all A (-empty(powerset(A))).
% 4.86/5.02 empty(empty_set).
% 4.86/5.02 all A B (-empty(ordered_pair(A,B))).
% 4.86/5.02 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 4.86/5.02 relation(empty_set).
% 4.86/5.02 relation_empty_yielding(empty_set).
% 4.86/5.02 function(empty_set).
% 4.86/5.02 one_to_one(empty_set).
% 4.86/5.02 empty(empty_set).
% 4.86/5.02 epsilon_transitive(empty_set).
% 4.86/5.02 epsilon_connected(empty_set).
% 4.86/5.02 ordinal(empty_set).
% 4.86/5.02 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 4.86/5.02 all A (-empty(singleton(A))).
% 4.86/5.02 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 4.86/5.02 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 4.86/5.02 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 4.86/5.02 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 4.86/5.02 all A B (-empty(unordered_pair(A,B))).
% 4.86/5.02 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 4.86/5.02 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 4.86/5.02 all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 4.86/5.02 empty(empty_set).
% 4.86/5.02 relation(empty_set).
% 4.86/5.02 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 4.86/5.02 all A B (relation(B)&function(B)->relation(relation_rng_restriction(A,B))&function(relation_rng_restriction(A,B))).
% 4.86/5.02 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 4.86/5.02 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 4.86/5.02 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 4.86/5.02 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 4.86/5.02 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 4.86/5.02 all A B (set_union2(A,A)=A).
% 4.86/5.02 all A B (set_intersection2(A,A)=A).
% 4.86/5.02 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 4.86/5.02 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 4.86/5.02 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 4.86/5.02 all A B (-proper_subset(A,A)).
% 4.86/5.02 all A (relation(A)-> (reflexive(A)<-> (all B (in(B,relation_field(A))->in(ordered_pair(B,B),A))))).
% 4.86/5.02 all A (singleton(A)!=empty_set).
% 4.86/5.02 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 4.86/5.02 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 4.86/5.02 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 4.86/5.02 all A B (relation(B)->subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))).
% 4.86/5.02 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))))).
% 4.86/5.02 all A B (subset(singleton(A),B)<->in(A,B)).
% 4.86/5.02 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 4.86/5.02 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 4.86/5.02 all A (relation(A)-> (antisymmetric(A)<-> (all B C (in(ordered_pair(B,C),A)&in(ordered_pair(C,B),A)->B=C)))).
% 4.86/5.02 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 4.86/5.02 all A (relation(A)-> (connected(A)<-> (all B C (-(in(B,relation_field(A))&in(C,relation_field(A))&B!=C& -in(ordered_pair(B,C),A)& -in(ordered_pair(C,B),A)))))).
% 4.86/5.02 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 4.86/5.02 all A B (in(A,B)->subset(A,union(B))).
% 4.86/5.02 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 4.86/5.02 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 4.86/5.02 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))).
% 4.86/5.02 exists A (relation(A)&function(A)).
% 4.86/5.02 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.86/5.02 exists A (empty(A)&relation(A)).
% 4.86/5.02 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 4.86/5.02 exists A empty(A).
% 4.86/5.02 exists A (relation(A)&empty(A)&function(A)).
% 4.86/5.02 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.86/5.02 exists A (-empty(A)&relation(A)).
% 4.86/5.02 all A exists B (element(B,powerset(A))&empty(B)).
% 4.86/5.02 exists A (-empty(A)).
% 4.86/5.02 exists A (relation(A)&function(A)&one_to_one(A)).
% 4.86/5.02 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.86/5.02 exists A (relation(A)&relation_empty_yielding(A)).
% 4.86/5.02 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 4.86/5.02 all A B C (relation_of2(C,A,B)->relation_dom_as_subset(A,B,C)=relation_dom(C)).
% 4.86/5.02 all A B C (relation_of2(C,A,B)->relation_rng_as_subset(A,B,C)=relation_rng(C)).
% 4.86/5.02 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 4.86/5.02 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 4.86/5.02 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 4.86/5.02 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 4.86/5.02 all A B (ordinal(A)&ordinal(B)-> (ordinal_subset(A,B)<->subset(A,B))).
% 4.86/5.02 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,A)).
% 4.86/5.02 all A B subset(A,A).
% 4.86/5.02 all A B (disjoint(A,B)->disjoint(B,A)).
% 4.86/5.02 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 4.86/5.02 all A in(A,succ(A)).
% 4.86/5.02 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 4.86/5.02 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 4.86/5.02 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 4.86/5.02 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 4.86/5.02 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 4.86/5.02 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))).
% 4.86/5.02 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 4.86/5.02 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 4.86/5.02 all A B C (relation_of2_as_subset(C,A,B)->subset(relation_dom(C),A)&subset(relation_rng(C),B)).
% 4.86/5.02 all A B (subset(A,B)->set_union2(A,B)=B).
% 4.86/5.02 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))))).
% 4.86/5.02 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 4.86/5.02 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))))).
% 4.86/5.02 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 4.86/5.02 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 4.86/5.02 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 4.86/5.02 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 4.86/5.02 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 4.86/5.02 all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 4.86/5.02 all A B C D (relation_of2_as_subset(D,C,A)-> (subset(relation_rng(D),B)->relation_of2_as_subset(D,C,B))).
% 4.86/5.02 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 4.86/5.02 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))))).
% 4.86/5.02 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 4.86/5.02 all A B C D (relation_of2_as_subset(D,C,A)-> (subset(A,B)->relation_of2_as_subset(D,C,B))).
% 4.86/5.02 all A B C (relation(C)-> (in(A,relation_restriction(C,B))<->in(A,C)&in(A,cartesian_product2(B,B)))).
% 4.86/5.02 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 4.86/5.02 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 4.86/5.02 all A B (relation(B)->relation_restriction(B,A)=relation_dom_restriction(relation_rng_restriction(A,B),A)).
% 4.86/5.02 all A B subset(set_intersection2(A,B),A).
% 4.86/5.02 all A B (relation(B)->relation_restriction(B,A)=relation_rng_restriction(A,relation_dom_restriction(B,A))).
% 4.86/5.02 all A B C (relation(C)-> (in(A,relation_field(relation_restriction(C,B)))->in(A,relation_field(C))&in(A,B))).
% 4.86/5.02 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 4.86/5.02 all A (set_union2(A,empty_set)=A).
% 4.86/5.02 all A B (in(A,B)->element(A,B)).
% 4.86/5.02 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 4.86/5.02 powerset(empty_set)=singleton(empty_set).
% 4.86/5.02 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 4.86/5.02 all A B (relation(B)->subset(relation_field(relation_restriction(B,A)),relation_field(B))&subset(relation_field(relation_restriction(B,A)),A)).
% 4.86/5.02 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)))))).
% 4.86/5.02 all A (epsilon_transitive(A)-> (all B (ordinal(B)-> (proper_subset(A,B)->in(A,B))))).
% 4.86/5.02 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 4.86/5.02 all A B C (relation(C)->subset(fiber(relation_restriction(C,A),B),fiber(C,B))).
% 4.86/5.02 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)))))).
% 4.86/5.02 all A B C (relation_of2_as_subset(C,B,A)-> ((all D (-(in(D,B)& (all E (-in(ordered_pair(D,E),C))))))<->relation_dom_as_subset(B,A,C)=B)).
% 4.86/5.02 all A B (relation(B)-> (reflexive(B)->reflexive(relation_restriction(B,A)))).
% 4.86/5.02 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)))))).
% 4.86/5.02 all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 4.86/5.02 all A B C (relation_of2_as_subset(C,A,B)-> ((all D (-(in(D,B)& (all E (-in(ordered_pair(E,D),C))))))<->relation_rng_as_subset(A,B,C)=B)).
% 4.86/5.02 all A B (relation(B)-> (connected(B)->connected(relation_restriction(B,A)))).
% 4.86/5.02 all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 4.86/5.02 all A B (relation(B)-> (transitive(B)->transitive(relation_restriction(B,A)))).
% 4.86/5.02 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)))))).
% 4.86/5.02 all A B (relation(B)-> (antisymmetric(B)->antisymmetric(relation_restriction(B,A)))).
% 4.86/5.02 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 4.86/5.02 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 4.86/5.02 all A (set_intersection2(A,empty_set)=empty_set).
% 4.86/5.02 all A B (element(A,B)->empty(B)|in(A,B)).
% 4.86/5.02 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 4.86/5.02 all A subset(empty_set,A).
% 4.86/5.02 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 4.86/5.02 all A ((all B (in(B,A)->ordinal(B)&subset(B,A)))->ordinal(A)).
% 4.86/5.03 all A B (relation(B)-> (well_founded_relation(B)->well_founded_relation(relation_restriction(B,A)))).
% 4.86/5.03 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))))))))).
% 4.86/5.03 all A B (relation(B)-> (well_ordering(B)->well_ordering(relation_restriction(B,A)))).
% 4.86/5.03 all A (ordinal(A)-> (all B (ordinal(B)-> (in(A,B)<->ordinal_subset(succ(A),B))))).
% 4.86/5.03 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 4.86/5.03 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 4.86/5.03 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 4.86/5.03 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 4.86/5.03 all A B subset(set_difference(A,B),A).
% 4.86/5.03 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 4.86/5.03 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 4.86/5.03 all A B (subset(singleton(A),B)<->in(A,B)).
% 4.86/5.03 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 4.86/5.03 all A B (relation(B)-> (well_ordering(B)&subset(A,relation_field(B))->relation_field(relation_restriction(B,A))=A)).
% 4.86/5.03 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 4.86/5.03 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 4.86/5.03 all A (set_difference(A,empty_set)=A).
% 4.86/5.03 all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 4.86/5.03 all A B (element(A,powerset(B))<->subset(A,B)).
% 4.86/5.03 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))).
% 4.86/5.03 all A (subset(A,empty_set)->A=empty_set).
% 4.86/5.03 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 4.86/5.03 all A (ordinal(A)-> (being_limit_ordinal(A)<-> (all B (ordinal(B)-> (in(B,A)->in(succ(B),A)))))).
% 4.86/5.03 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))).
% 4.86/5.03 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 4.86/5.03 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 4.86/5.03 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 4.86/5.03 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 4.86/5.03 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 4.86/5.03 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 4.86/5.03 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 4.86/5.03 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 4.86/5.03 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)))).
% 4.86/5.03 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)))).
% 4.86/5.03 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 4.86/5.03 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)->relation_isomorphism(B,A,function_inverse(C)))))))).
% 4.86/5.03 all A (set_difference(empty_set,A)=empty_set).
% 4.86/5.03 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 4.86/5.03 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))).
% 4.86/5.03 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)))))))).
% 4.86/5.03 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)-> (reflexive(A)->reflexive(B))& (transitive(A)->transitive(B))& (connected(A)->connected(B))& (antisymmetric(A)->antisymmetric(B))& (well_founded_relation(A)->well_founded_relation(B)))))))).
% 4.86/5.03 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))))))))).
% 4.86/5.03 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 4.86/5.03 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (well_ordering(A)&relation_isomorphism(A,B,C)->well_ordering(B))))))).
% 4.86/5.03 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)))).
% 4.86/5.03 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 4.86/5.03 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))).
% 4.86/5.03 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 4.86/5.03 all A (relation(A)-> (well_founded_relation(A)<->is_well_founded_in(A,relation_field(A)))).
% 4.86/5.03 relation_dom(empty_set)=empty_set.
% 4.86/5.03 relation_rng(empty_set)=empty_set.
% 4.86/5.03 all A B (-(subset(A,B)&proper_subset(B,A))).
% 4.86/5.03 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 4.86/5.03 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 4.86/5.03 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 4.86/5.03 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 4.86/5.03 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 4.86/5.03 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))))))).
% 4.86/5.03 all A (unordered_pair(A,A)=singleton(A)).
% 4.86/5.03 all A (empty(A)->A=empty_set).
% 4.86/5.03 all A B (subset(singleton(A),singleton(B))->A=B).
% 4.86/5.03 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))).
% 4.86/5.03 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 4.86/5.03 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 4.86/5.03 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))).
% 4.86/5.03 all A B (-(in(A,B)&empty(B))).
% 4.86/5.03 -(all A B (pair_first(ordered_pair(A,B))=A&pair_second(ordered_pair(A,B))=B)).
% 4.86/5.03 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 4.86/5.03 all A B subset(A,set_union2(A,B)).
% 4.86/5.03 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 4.86/5.03 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 4.86/5.03 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 4.86/5.03 all A B (-(empty(A)&A!=B&empty(B))).
% 4.86/5.03 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 4.86/5.03 all A (relation(A)-> (well_orders(A,relation_field(A))<->well_ordering(A))).
% 4.86/5.03 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 4.86/5.03 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 4.86/5.03 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 4.86/5.03 all A B (in(A,B)->subset(A,union(B))).
% 4.86/5.03 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 4.86/5.03 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 4.86/5.03 all A (union(powerset(A))=A).
% 4.86/5.03 all A exists B (in(A,B)& (all C D (in(C,B)&subset(D,C)->in(D,B)))& (all C (-(in(C,B)& (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))))).
% 4.86/5.03 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 4.86/5.03 end_of_list.
% 4.86/5.03
% 4.86/5.03 -------> usable clausifies to:
% 4.86/5.03
% 4.86/5.03 list(usable).
% 4.86/5.03 0 [] A=A.
% 4.86/5.03 0 [] -in(A,B)| -in(B,A).
% 4.86/5.03 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 4.86/5.03 0 [] -empty(A)|function(A).
% 4.86/5.03 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.86/5.03 0 [] -ordinal(A)|epsilon_connected(A).
% 4.86/5.03 0 [] -empty(A)|relation(A).
% 4.86/5.03 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 4.86/5.03 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 4.86/5.03 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 4.86/5.03 0 [] -empty(A)|epsilon_transitive(A).
% 4.86/5.03 0 [] -empty(A)|epsilon_connected(A).
% 4.86/5.03 0 [] -empty(A)|ordinal(A).
% 4.86/5.03 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 4.86/5.03 0 [] set_union2(A,B)=set_union2(B,A).
% 4.86/5.03 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 4.86/5.03 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 4.86/5.03 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 4.86/5.03 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 4.86/5.03 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 4.86/5.03 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 4.86/5.03 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 4.86/5.03 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)!=$f1(A,B).
% 4.86/5.03 0 [] A!=B|subset(A,B).
% 4.86/5.03 0 [] A!=B|subset(B,A).
% 4.86/5.03 0 [] A=B| -subset(A,B)| -subset(B,A).
% 4.86/5.03 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 4.86/5.03 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 4.86/5.03 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 4.86/5.03 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 4.86/5.03 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).
% 4.86/5.03 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),$f3(A,B,C)),A).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 4.86/5.03 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).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 4.86/5.03 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 4.86/5.03 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 4.86/5.03 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 4.86/5.03 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 4.86/5.03 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).
% 4.86/5.03 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),$f8(A,B,C)),B).
% 4.86/5.03 0 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 4.86/5.03 0 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 4.86/5.03 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 4.86/5.03 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 4.86/5.03 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 4.86/5.03 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 4.86/5.03 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 4.86/5.03 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 4.86/5.03 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 4.86/5.03 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 4.86/5.03 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 4.86/5.03 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 4.86/5.03 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 4.86/5.03 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 4.86/5.03 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).
% 4.86/5.03 0 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 4.86/5.03 0 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 4.86/5.03 0 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 4.86/5.03 0 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 4.86/5.03 0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 4.86/5.03 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 4.86/5.03 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 4.86/5.03 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 4.86/5.03 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.
% 4.86/5.03 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 4.86/5.03 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 4.86/5.03 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 4.86/5.03 0 [] A!=ordered_pair(B,C)|X4!=pair_first(A)|A!=ordered_pair(X5,D)|X4=X5.
% 4.86/5.03 0 [] A!=ordered_pair(B,C)|X4=pair_first(A)|A=ordered_pair($f19(A,X4),$f18(A,X4)).
% 4.86/5.03 0 [] A!=ordered_pair(B,C)|X4=pair_first(A)|X4!=$f19(A,X4).
% 4.86/5.03 0 [] succ(A)=set_union2(A,singleton(A)).
% 4.86/5.03 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f21(A,B),$f20(A,B)).
% 4.86/5.03 0 [] relation(A)|in($f22(A),A).
% 4.86/5.03 0 [] relation(A)|$f22(A)!=ordered_pair(C,D).
% 4.86/5.03 0 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 4.86/5.03 0 [] -relation(A)|is_reflexive_in(A,B)|in($f23(A,B),B).
% 4.86/5.03 0 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f23(A,B),$f23(A,B)),A).
% 4.86/5.03 0 [] -relation_of2(C,A,B)|subset(C,cartesian_product2(A,B)).
% 4.86/5.03 0 [] relation_of2(C,A,B)| -subset(C,cartesian_product2(A,B)).
% 4.86/5.03 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 4.86/5.03 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f24(A,B,C),A).
% 4.86/5.03 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f24(A,B,C)).
% 4.86/5.03 0 [] A=empty_set|B=set_meet(A)|in($f26(A,B),B)| -in(X6,A)|in($f26(A,B),X6).
% 4.86/5.03 0 [] A=empty_set|B=set_meet(A)| -in($f26(A,B),B)|in($f25(A,B),A).
% 4.86/5.03 0 [] A=empty_set|B=set_meet(A)| -in($f26(A,B),B)| -in($f26(A,B),$f25(A,B)).
% 4.86/5.03 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 4.86/5.03 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 4.86/5.03 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 4.86/5.03 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 4.86/5.03 0 [] B=singleton(A)|in($f27(A,B),B)|$f27(A,B)=A.
% 4.86/5.03 0 [] B=singleton(A)| -in($f27(A,B),B)|$f27(A,B)!=A.
% 4.86/5.03 0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|D!=B.
% 4.86/5.03 0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|in(ordered_pair(D,B),A).
% 4.86/5.03 0 [] -relation(A)|C!=fiber(A,B)|in(D,C)|D=B| -in(ordered_pair(D,B),A).
% 4.86/5.03 0 [] -relation(A)|C=fiber(A,B)|in($f28(A,B,C),C)|$f28(A,B,C)!=B.
% 4.86/5.03 0 [] -relation(A)|C=fiber(A,B)|in($f28(A,B,C),C)|in(ordered_pair($f28(A,B,C),B),A).
% 4.86/5.03 0 [] -relation(A)|C=fiber(A,B)| -in($f28(A,B,C),C)|$f28(A,B,C)=B| -in(ordered_pair($f28(A,B,C),B),A).
% 4.86/5.03 0 [] A!=empty_set| -in(B,A).
% 4.86/5.03 0 [] A=empty_set|in($f29(A),A).
% 4.86/5.03 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 4.86/5.03 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 4.86/5.03 0 [] B=powerset(A)|in($f30(A,B),B)|subset($f30(A,B),A).
% 4.86/5.03 0 [] B=powerset(A)| -in($f30(A,B),B)| -subset($f30(A,B),A).
% 4.86/5.03 0 [] A!=ordered_pair(B,C)|X7!=pair_second(A)|A!=ordered_pair(X8,D)|X7=D.
% 4.86/5.04 0 [] A!=ordered_pair(B,C)|X7=pair_second(A)|A=ordered_pair($f32(A,X7),$f31(A,X7)).
% 4.86/5.04 0 [] A!=ordered_pair(B,C)|X7=pair_second(A)|X7!=$f31(A,X7).
% 4.86/5.04 0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 4.86/5.04 0 [] epsilon_transitive(A)|in($f33(A),A).
% 4.86/5.04 0 [] epsilon_transitive(A)| -subset($f33(A),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f35(A,B),$f34(A,B)),A)|in(ordered_pair($f35(A,B),$f34(A,B)),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f35(A,B),$f34(A,B)),A)| -in(ordered_pair($f35(A,B),$f34(A,B)),B).
% 4.86/5.04 0 [] empty(A)| -element(B,A)|in(B,A).
% 4.86/5.04 0 [] empty(A)|element(B,A)| -in(B,A).
% 4.86/5.04 0 [] -empty(A)| -element(B,A)|empty(B).
% 4.86/5.04 0 [] -empty(A)|element(B,A)| -empty(B).
% 4.86/5.04 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 4.86/5.04 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 4.86/5.04 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 4.86/5.04 0 [] C=unordered_pair(A,B)|in($f36(A,B,C),C)|$f36(A,B,C)=A|$f36(A,B,C)=B.
% 4.86/5.04 0 [] C=unordered_pair(A,B)| -in($f36(A,B,C),C)|$f36(A,B,C)!=A.
% 4.86/5.04 0 [] C=unordered_pair(A,B)| -in($f36(A,B,C),C)|$f36(A,B,C)!=B.
% 4.86/5.04 0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f37(A,B),B).
% 4.86/5.04 0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f37(A,B)),B).
% 4.86/5.04 0 [] -relation(A)|well_founded_relation(A)|subset($f38(A),relation_field(A)).
% 4.86/5.04 0 [] -relation(A)|well_founded_relation(A)|$f38(A)!=empty_set.
% 4.86/5.04 0 [] -relation(A)|well_founded_relation(A)| -in(C,$f38(A))| -disjoint(fiber(A,C),$f38(A)).
% 4.86/5.04 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 4.86/5.04 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 4.86/5.04 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 4.86/5.04 0 [] C=set_union2(A,B)|in($f39(A,B,C),C)|in($f39(A,B,C),A)|in($f39(A,B,C),B).
% 4.86/5.04 0 [] C=set_union2(A,B)| -in($f39(A,B,C),C)| -in($f39(A,B,C),A).
% 4.86/5.04 0 [] C=set_union2(A,B)| -in($f39(A,B,C),C)| -in($f39(A,B,C),B).
% 4.86/5.04 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f41(A,B,C,D),A).
% 4.86/5.04 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f40(A,B,C,D),B).
% 4.86/5.04 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f41(A,B,C,D),$f40(A,B,C,D)).
% 4.86/5.04 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 4.86/5.04 0 [] C=cartesian_product2(A,B)|in($f44(A,B,C),C)|in($f43(A,B,C),A).
% 4.86/5.04 0 [] C=cartesian_product2(A,B)|in($f44(A,B,C),C)|in($f42(A,B,C),B).
% 4.86/5.04 0 [] C=cartesian_product2(A,B)|in($f44(A,B,C),C)|$f44(A,B,C)=ordered_pair($f43(A,B,C),$f42(A,B,C)).
% 4.86/5.04 0 [] C=cartesian_product2(A,B)| -in($f44(A,B,C),C)| -in(X9,A)| -in(X10,B)|$f44(A,B,C)!=ordered_pair(X9,X10).
% 4.86/5.04 0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 4.86/5.04 0 [] epsilon_connected(A)|in($f46(A),A).
% 4.86/5.04 0 [] epsilon_connected(A)|in($f45(A),A).
% 4.86/5.04 0 [] epsilon_connected(A)| -in($f46(A),$f45(A)).
% 4.86/5.04 0 [] epsilon_connected(A)|$f46(A)!=$f45(A).
% 4.86/5.04 0 [] epsilon_connected(A)| -in($f45(A),$f46(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f48(A,B),$f47(A,B)),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f48(A,B),$f47(A,B)),B).
% 4.86/5.04 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 4.86/5.04 0 [] subset(A,B)|in($f49(A,B),A).
% 4.86/5.04 0 [] subset(A,B)| -in($f49(A,B),B).
% 4.86/5.04 0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f50(A,B,C),C).
% 4.86/5.04 0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f50(A,B,C)),C).
% 4.86/5.04 0 [] -relation(A)|is_well_founded_in(A,B)|subset($f51(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_well_founded_in(A,B)|$f51(A,B)!=empty_set.
% 4.86/5.04 0 [] -relation(A)|is_well_founded_in(A,B)| -in(D,$f51(A,B))| -disjoint(fiber(A,D),$f51(A,B)).
% 4.86/5.04 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 4.86/5.04 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 4.86/5.04 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 4.86/5.04 0 [] C=set_intersection2(A,B)|in($f52(A,B,C),C)|in($f52(A,B,C),A).
% 4.86/5.04 0 [] C=set_intersection2(A,B)|in($f52(A,B,C),C)|in($f52(A,B,C),B).
% 4.86/5.04 0 [] C=set_intersection2(A,B)| -in($f52(A,B,C),C)| -in($f52(A,B,C),A)| -in($f52(A,B,C),B).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 4.86/5.04 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 4.86/5.04 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 4.86/5.04 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.86/5.04 0 [] -ordinal(A)|epsilon_connected(A).
% 4.86/5.04 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 4.86/5.04 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f53(A,B,C)),A).
% 4.86/5.04 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 4.86/5.04 0 [] -relation(A)|B=relation_dom(A)|in($f55(A,B),B)|in(ordered_pair($f55(A,B),$f54(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|B=relation_dom(A)| -in($f55(A,B),B)| -in(ordered_pair($f55(A,B),X11),A).
% 4.86/5.04 0 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 4.86/5.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f57(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f56(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f57(A,B),$f56(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f56(A,B),$f57(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|is_antisymmetric_in(A,B)|$f57(A,B)!=$f56(A,B).
% 4.86/5.04 0 [] cast_to_subset(A)=A.
% 4.86/5.04 0 [] B!=union(A)| -in(C,B)|in(C,$f58(A,B,C)).
% 4.86/5.04 0 [] B!=union(A)| -in(C,B)|in($f58(A,B,C),A).
% 4.86/5.04 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 4.86/5.04 0 [] B=union(A)|in($f60(A,B),B)|in($f60(A,B),$f59(A,B)).
% 4.86/5.04 0 [] B=union(A)|in($f60(A,B),B)|in($f59(A,B),A).
% 4.86/5.04 0 [] B=union(A)| -in($f60(A,B),B)| -in($f60(A,B),X12)| -in(X12,A).
% 4.86/5.04 0 [] -relation(A)| -well_ordering(A)|reflexive(A).
% 4.86/5.04 0 [] -relation(A)| -well_ordering(A)|transitive(A).
% 4.86/5.04 0 [] -relation(A)| -well_ordering(A)|antisymmetric(A).
% 4.86/5.04 0 [] -relation(A)| -well_ordering(A)|connected(A).
% 4.86/5.04 0 [] -relation(A)| -well_ordering(A)|well_founded_relation(A).
% 4.86/5.04 0 [] -relation(A)|well_ordering(A)| -reflexive(A)| -transitive(A)| -antisymmetric(A)| -connected(A)| -well_founded_relation(A).
% 4.86/5.04 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 4.86/5.04 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 4.86/5.04 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 4.86/5.04 0 [] C=set_difference(A,B)|in($f61(A,B,C),C)|in($f61(A,B,C),A).
% 4.86/5.04 0 [] C=set_difference(A,B)|in($f61(A,B,C),C)| -in($f61(A,B,C),B).
% 4.86/5.04 0 [] C=set_difference(A,B)| -in($f61(A,B,C),C)| -in($f61(A,B,C),A)|in($f61(A,B,C),B).
% 4.86/5.04 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f62(A,B,C),relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f62(A,B,C)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 4.86/5.04 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f64(A,B),B)|in($f63(A,B),relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f64(A,B),B)|$f64(A,B)=apply(A,$f63(A,B)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f64(A,B),B)| -in(X13,relation_dom(A))|$f64(A,B)!=apply(A,X13).
% 4.86/5.04 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f65(A,B,C),C),A).
% 4.86/5.04 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 4.86/5.04 0 [] -relation(A)|B=relation_rng(A)|in($f67(A,B),B)|in(ordered_pair($f66(A,B),$f67(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|B=relation_rng(A)| -in($f67(A,B),B)| -in(ordered_pair(X14,$f67(A,B)),A).
% 4.86/5.04 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 4.86/5.04 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 4.86/5.04 0 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 4.86/5.04 0 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 4.86/5.04 0 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 4.86/5.04 0 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 4.86/5.04 0 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 4.86/5.04 0 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 4.86/5.04 0 [] -being_limit_ordinal(A)|A=union(A).
% 4.86/5.04 0 [] being_limit_ordinal(A)|A!=union(A).
% 4.86/5.04 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 4.86/5.04 0 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 4.86/5.04 0 [] -relation(A)|is_connected_in(A,B)|in($f69(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_connected_in(A,B)|in($f68(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_connected_in(A,B)|$f69(A,B)!=$f68(A,B).
% 4.86/5.04 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f69(A,B),$f68(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f68(A,B),$f69(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f71(A,B),$f70(A,B)),B)|in(ordered_pair($f70(A,B),$f71(A,B)),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f71(A,B),$f70(A,B)),B)| -in(ordered_pair($f70(A,B),$f71(A,B)),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_dom(C)=relation_field(A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_rng(C)=relation_field(B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|one_to_one(C).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(D,relation_field(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(E,relation_field(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(ordered_pair(apply(C,D),apply(C,E)),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|in(ordered_pair(D,E),A)| -in(D,relation_field(A))| -in(E,relation_field(A))| -in(ordered_pair(apply(C,D),apply(C,E)),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)|in($f73(A,B,C),relation_field(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)|in($f72(A,B,C),relation_field(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)|in(ordered_pair(apply(C,$f73(A,B,C)),apply(C,$f72(A,B,C))),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)| -in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)| -in($f73(A,B,C),relation_field(A))| -in($f72(A,B,C),relation_field(A))| -in(ordered_pair(apply(C,$f73(A,B,C)),apply(C,$f72(A,B,C))),B).
% 4.86/5.04 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 4.86/5.04 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 4.86/5.04 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.
% 4.86/5.04 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f75(A),relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f74(A),relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f75(A))=apply(A,$f74(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|one_to_one(A)|$f75(A)!=$f74(A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f76(A,B,C,D,E)),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f76(A,B,C,D,E),E),B).
% 4.86/5.04 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).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f79(A,B,C),$f78(A,B,C)),C)|in(ordered_pair($f79(A,B,C),$f77(A,B,C)),A).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f79(A,B,C),$f78(A,B,C)),C)|in(ordered_pair($f77(A,B,C),$f78(A,B,C)),B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f79(A,B,C),$f78(A,B,C)),C)| -in(ordered_pair($f79(A,B,C),X15),A)| -in(ordered_pair(X15,$f78(A,B,C)),B).
% 4.86/5.04 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).
% 4.86/5.04 0 [] -relation(A)|is_transitive_in(A,B)|in($f82(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_transitive_in(A,B)|in($f81(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_transitive_in(A,B)|in($f80(A,B),B).
% 4.86/5.04 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f82(A,B),$f81(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f81(A,B),$f80(A,B)),A).
% 4.86/5.04 0 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f82(A,B),$f80(A,B)),A).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))| -in(D,C)|in(subset_complement(A,D),B).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))|in(D,C)| -in(subset_complement(A,D),B).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f83(A,B,C),powerset(A)).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f83(A,B,C),C)|in(subset_complement(A,$f83(A,B,C)),B).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f83(A,B,C),C)| -in(subset_complement(A,$f83(A,B,C)),B).
% 4.86/5.04 0 [] -proper_subset(A,B)|subset(A,B).
% 4.86/5.04 0 [] -proper_subset(A,B)|A!=B.
% 4.86/5.04 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 4.86/5.04 0 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 4.86/5.04 0 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] element(cast_to_subset(A),powerset(A)).
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] -relation(A)|relation(relation_restriction(A,B)).
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] -relation(A)|relation(relation_inverse(A)).
% 4.86/5.04 0 [] -relation_of2(C,A,B)|element(relation_dom_as_subset(A,B,C),powerset(A)).
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.86/5.04 0 [] -relation_of2(C,A,B)|element(relation_rng_as_subset(A,B,C),powerset(B)).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 4.86/5.04 0 [] relation(identity_relation(A)).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 4.86/5.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 4.86/5.04 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 4.86/5.04 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] $T.
% 4.86/5.04 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 4.86/5.04 0 [] relation_of2($f84(A,B),A,B).
% 4.86/5.04 0 [] element($f85(A),A).
% 4.86/5.04 0 [] relation_of2_as_subset($f86(A,B),A,B).
% 4.86/5.04 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 4.86/5.04 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 4.86/5.04 0 [] -empty(A)|empty(relation_inverse(A)).
% 4.86/5.04 0 [] -empty(A)|relation(relation_inverse(A)).
% 4.86/5.04 0 [] empty(empty_set).
% 4.86/5.04 0 [] relation(empty_set).
% 4.86/5.04 0 [] relation_empty_yielding(empty_set).
% 4.86/5.04 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 4.86/5.04 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 4.86/5.04 0 [] -empty(succ(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 4.86/5.04 0 [] -empty(powerset(A)).
% 4.86/5.04 0 [] empty(empty_set).
% 4.86/5.04 0 [] -empty(ordered_pair(A,B)).
% 4.86/5.04 0 [] relation(identity_relation(A)).
% 4.86/5.04 0 [] function(identity_relation(A)).
% 4.86/5.04 0 [] relation(empty_set).
% 4.86/5.04 0 [] relation_empty_yielding(empty_set).
% 4.86/5.04 0 [] function(empty_set).
% 4.86/5.04 0 [] one_to_one(empty_set).
% 4.86/5.04 0 [] empty(empty_set).
% 4.86/5.04 0 [] epsilon_transitive(empty_set).
% 4.86/5.04 0 [] epsilon_connected(empty_set).
% 4.86/5.04 0 [] ordinal(empty_set).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 4.86/5.04 0 [] -empty(singleton(A)).
% 4.86/5.04 0 [] empty(A)| -empty(set_union2(A,B)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 4.86/5.04 0 [] -ordinal(A)| -empty(succ(A)).
% 4.86/5.04 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 4.86/5.04 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 4.86/5.04 0 [] -ordinal(A)|ordinal(succ(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 4.86/5.04 0 [] -empty(unordered_pair(A,B)).
% 4.86/5.04 0 [] empty(A)| -empty(set_union2(B,A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 4.86/5.04 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 4.86/5.04 0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 4.86/5.04 0 [] -ordinal(A)|epsilon_connected(union(A)).
% 4.86/5.04 0 [] -ordinal(A)|ordinal(union(A)).
% 4.86/5.04 0 [] empty(empty_set).
% 4.86/5.04 0 [] relation(empty_set).
% 4.86/5.04 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 4.86/5.04 0 [] -relation(B)| -function(B)|relation(relation_rng_restriction(A,B)).
% 4.86/5.04 0 [] -relation(B)| -function(B)|function(relation_rng_restriction(A,B)).
% 4.86/5.04 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 4.86/5.04 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 4.86/5.04 0 [] -empty(A)|empty(relation_dom(A)).
% 4.86/5.04 0 [] -empty(A)|relation(relation_dom(A)).
% 4.86/5.04 0 [] -empty(A)|empty(relation_rng(A)).
% 4.86/5.04 0 [] -empty(A)|relation(relation_rng(A)).
% 4.86/5.04 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 4.86/5.04 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.86/5.04 0 [] set_union2(A,A)=A.
% 4.86/5.04 0 [] set_intersection2(A,A)=A.
% 4.86/5.04 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 4.86/5.04 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 4.86/5.04 0 [] -proper_subset(A,A).
% 4.86/5.04 0 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 4.86/5.04 0 [] -relation(A)|reflexive(A)|in($f87(A),relation_field(A)).
% 4.86/5.04 0 [] -relation(A)|reflexive(A)| -in(ordered_pair($f87(A),$f87(A)),A).
% 4.86/5.04 0 [] singleton(A)!=empty_set.
% 4.86/5.04 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.86/5.04 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 4.86/5.04 0 [] in(A,B)|disjoint(singleton(A),B).
% 4.86/5.04 0 [] -relation(B)|subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)).
% 4.86/5.04 0 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 4.86/5.04 0 [] -relation(A)|transitive(A)|in(ordered_pair($f90(A),$f89(A)),A).
% 4.86/5.04 0 [] -relation(A)|transitive(A)|in(ordered_pair($f89(A),$f88(A)),A).
% 4.86/5.04 0 [] -relation(A)|transitive(A)| -in(ordered_pair($f90(A),$f88(A)),A).
% 4.86/5.04 0 [] -subset(singleton(A),B)|in(A,B).
% 4.86/5.04 0 [] subset(singleton(A),B)| -in(A,B).
% 4.86/5.04 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.86/5.04 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.86/5.04 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 4.86/5.04 0 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 4.86/5.04 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f92(A),$f91(A)),A).
% 4.86/5.04 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f91(A),$f92(A)),A).
% 4.86/5.04 0 [] -relation(A)|antisymmetric(A)|$f92(A)!=$f91(A).
% 4.86/5.04 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 4.86/5.04 0 [] -relation(A)| -connected(A)| -in(B,relation_field(A))| -in(C,relation_field(A))|B=C|in(ordered_pair(B,C),A)|in(ordered_pair(C,B),A).
% 4.86/5.04 0 [] -relation(A)|connected(A)|in($f94(A),relation_field(A)).
% 4.86/5.04 0 [] -relation(A)|connected(A)|in($f93(A),relation_field(A)).
% 4.86/5.04 0 [] -relation(A)|connected(A)|$f94(A)!=$f93(A).
% 4.86/5.04 0 [] -relation(A)|connected(A)| -in(ordered_pair($f94(A),$f93(A)),A).
% 4.86/5.04 0 [] -relation(A)|connected(A)| -in(ordered_pair($f93(A),$f94(A)),A).
% 4.86/5.04 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.86/5.04 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.86/5.04 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.86/5.04 0 [] -in(A,B)|subset(A,union(B)).
% 4.86/5.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.86/5.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.86/5.04 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.86/5.04 0 [] in($f95(A,B),A)|element(A,powerset(B)).
% 4.86/5.04 0 [] -in($f95(A,B),B)|element(A,powerset(B)).
% 4.86/5.04 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 4.86/5.04 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 4.86/5.04 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 4.86/5.04 0 [] relation($c1).
% 4.86/5.04 0 [] function($c1).
% 4.86/5.04 0 [] epsilon_transitive($c2).
% 4.86/5.04 0 [] epsilon_connected($c2).
% 4.86/5.04 0 [] ordinal($c2).
% 4.86/5.04 0 [] empty($c3).
% 4.86/5.04 0 [] relation($c3).
% 4.86/5.04 0 [] empty(A)|element($f96(A),powerset(A)).
% 4.86/5.04 0 [] empty(A)| -empty($f96(A)).
% 4.86/5.04 0 [] empty($c4).
% 4.86/5.04 0 [] relation($c5).
% 4.86/5.04 0 [] empty($c5).
% 4.86/5.04 0 [] function($c5).
% 4.86/5.04 0 [] relation($c6).
% 4.86/5.04 0 [] function($c6).
% 4.86/5.04 0 [] one_to_one($c6).
% 4.86/5.04 0 [] empty($c6).
% 4.86/5.04 0 [] epsilon_transitive($c6).
% 4.86/5.04 0 [] epsilon_connected($c6).
% 4.86/5.04 0 [] ordinal($c6).
% 4.86/5.04 0 [] -empty($c7).
% 4.86/5.04 0 [] relation($c7).
% 4.86/5.04 0 [] element($f97(A),powerset(A)).
% 4.86/5.04 0 [] empty($f97(A)).
% 4.86/5.04 0 [] -empty($c8).
% 4.86/5.04 0 [] relation($c9).
% 4.86/5.04 0 [] function($c9).
% 4.86/5.04 0 [] one_to_one($c9).
% 4.86/5.04 0 [] -empty($c10).
% 4.86/5.04 0 [] epsilon_transitive($c10).
% 4.86/5.04 0 [] epsilon_connected($c10).
% 4.86/5.04 0 [] ordinal($c10).
% 4.86/5.04 0 [] relation($c11).
% 4.86/5.04 0 [] relation_empty_yielding($c11).
% 4.86/5.04 0 [] relation($c12).
% 4.86/5.04 0 [] relation_empty_yielding($c12).
% 4.86/5.04 0 [] function($c12).
% 4.86/5.04 0 [] -relation_of2(C,A,B)|relation_dom_as_subset(A,B,C)=relation_dom(C).
% 4.86/5.04 0 [] -relation_of2(C,A,B)|relation_rng_as_subset(A,B,C)=relation_rng(C).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 4.86/5.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 4.86/5.04 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 4.86/5.04 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 4.86/5.04 0 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 4.86/5.04 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 4.86/5.04 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,A).
% 4.86/5.04 0 [] subset(A,A).
% 4.86/5.04 0 [] -disjoint(A,B)|disjoint(B,A).
% 4.86/5.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.86/5.04 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.86/5.04 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.86/5.04 0 [] in(A,succ(A)).
% 4.86/5.04 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 4.86/5.04 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 4.86/5.04 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 4.86/5.04 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 4.86/5.04 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 4.86/5.04 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 4.86/5.04 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 4.86/5.04 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 4.86/5.04 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 4.86/5.04 0 [] -relation_of2_as_subset(C,A,B)|subset(relation_dom(C),A).
% 4.86/5.04 0 [] -relation_of2_as_subset(C,A,B)|subset(relation_rng(C),B).
% 4.86/5.04 0 [] -subset(A,B)|set_union2(A,B)=B.
% 4.86/5.04 0 [] in(A,$f98(A)).
% 4.86/5.04 0 [] -in(C,$f98(A))| -subset(D,C)|in(D,$f98(A)).
% 4.86/5.04 0 [] -in(X16,$f98(A))|in(powerset(X16),$f98(A)).
% 4.86/5.04 0 [] -subset(X17,$f98(A))|are_e_quipotent(X17,$f98(A))|in(X17,$f98(A)).
% 4.86/5.04 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f99(A,B,C),relation_dom(C)).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f99(A,B,C),A),C).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f99(A,B,C),B).
% 4.86/5.04 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 4.86/5.04 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 4.86/5.04 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 4.86/5.04 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 4.86/5.04 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 4.86/5.04 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 4.86/5.04 0 [] -relation_of2_as_subset(D,C,A)| -subset(relation_rng(D),B)|relation_of2_as_subset(D,C,B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f100(A,B,C),relation_rng(C)).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f100(A,B,C)),C).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f100(A,B,C),B).
% 4.86/5.04 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 4.86/5.04 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 4.86/5.04 0 [] -relation_of2_as_subset(D,C,A)| -subset(A,B)|relation_of2_as_subset(D,C,B).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_restriction(C,B))|in(A,C).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_restriction(C,B))|in(A,cartesian_product2(B,B)).
% 4.86/5.04 0 [] -relation(C)|in(A,relation_restriction(C,B))| -in(A,C)| -in(A,cartesian_product2(B,B)).
% 4.86/5.04 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 4.86/5.04 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 4.86/5.04 0 [] -relation(B)|relation_restriction(B,A)=relation_dom_restriction(relation_rng_restriction(A,B),A).
% 4.86/5.04 0 [] subset(set_intersection2(A,B),A).
% 4.86/5.04 0 [] -relation(B)|relation_restriction(B,A)=relation_rng_restriction(A,relation_dom_restriction(B,A)).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_field(relation_restriction(C,B)))|in(A,relation_field(C)).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_field(relation_restriction(C,B)))|in(A,B).
% 4.86/5.04 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 4.86/5.04 0 [] set_union2(A,empty_set)=A.
% 4.86/5.04 0 [] -in(A,B)|element(A,B).
% 4.86/5.04 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 4.86/5.04 0 [] powerset(empty_set)=singleton(empty_set).
% 4.86/5.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 4.86/5.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 4.86/5.04 0 [] -relation(B)|subset(relation_field(relation_restriction(B,A)),relation_field(B)).
% 4.86/5.04 0 [] -relation(B)|subset(relation_field(relation_restriction(B,A)),A).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 4.86/5.04 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)).
% 4.86/5.04 0 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 4.86/5.04 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 4.86/5.04 0 [] -relation(C)|subset(fiber(relation_restriction(C,A),B),fiber(C,B)).
% 4.86/5.04 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)).
% 4.86/5.04 0 [] -relation_of2_as_subset(C,B,A)|in($f101(A,B,C),B)|relation_dom_as_subset(B,A,C)=B.
% 4.86/5.04 0 [] -relation_of2_as_subset(C,B,A)| -in(ordered_pair($f101(A,B,C),E),C)|relation_dom_as_subset(B,A,C)=B.
% 4.86/5.04 0 [] -relation_of2_as_subset(C,B,A)| -in(D,B)|in(ordered_pair(D,$f102(A,B,C,D)),C)|relation_dom_as_subset(B,A,C)!=B.
% 4.86/5.04 0 [] -relation(B)| -reflexive(B)|reflexive(relation_restriction(B,A)).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)).
% 4.86/5.04 0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 4.86/5.04 0 [] -relation_of2_as_subset(C,A,B)|in($f103(A,B,C),B)|relation_rng_as_subset(A,B,C)=B.
% 4.86/5.04 0 [] -relation_of2_as_subset(C,A,B)| -in(ordered_pair(E,$f103(A,B,C)),C)|relation_rng_as_subset(A,B,C)=B.
% 4.86/5.04 0 [] -relation_of2_as_subset(C,A,B)| -in(D,B)|in(ordered_pair($f104(A,B,C,D),D),C)|relation_rng_as_subset(A,B,C)!=B.
% 4.86/5.04 0 [] -relation(B)| -connected(B)|connected(relation_restriction(B,A)).
% 4.86/5.04 0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 4.86/5.04 0 [] -relation(B)| -transitive(B)|transitive(relation_restriction(B,A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 4.86/5.04 0 [] -relation(B)| -antisymmetric(B)|antisymmetric(relation_restriction(B,A)).
% 4.86/5.04 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 4.86/5.04 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 4.86/5.04 0 [] set_intersection2(A,empty_set)=empty_set.
% 4.86/5.04 0 [] -element(A,B)|empty(B)|in(A,B).
% 4.86/5.04 0 [] in($f105(A,B),A)|in($f105(A,B),B)|A=B.
% 4.86/5.04 0 [] -in($f105(A,B),A)| -in($f105(A,B),B)|A=B.
% 4.86/5.04 0 [] subset(empty_set,A).
% 4.86/5.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 4.86/5.04 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 4.86/5.04 0 [] in($f106(A),A)|ordinal(A).
% 4.86/5.04 0 [] -ordinal($f106(A))| -subset($f106(A),A)|ordinal(A).
% 4.86/5.04 0 [] -relation(B)| -well_founded_relation(B)|well_founded_relation(relation_restriction(B,A)).
% 4.86/5.04 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|ordinal($f107(A,B)).
% 4.86/5.04 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|in($f107(A,B),A).
% 4.86/5.04 0 [] -ordinal(B)| -subset(A,B)|A=empty_set| -ordinal(D)| -in(D,A)|ordinal_subset($f107(A,B),D).
% 4.86/5.04 0 [] -relation(B)| -well_ordering(B)|well_ordering(relation_restriction(B,A)).
% 4.86/5.04 0 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 4.86/5.04 0 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 4.86/5.04 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 4.86/5.04 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 4.86/5.04 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 4.86/5.04 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 4.86/5.04 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 4.86/5.04 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f108(A,B),A).
% 4.86/5.04 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f108(A,B))!=$f108(A,B).
% 4.86/5.04 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 4.86/5.04 0 [] subset(set_difference(A,B),A).
% 4.86/5.04 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 4.86/5.04 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 4.86/5.04 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.86/5.04 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.86/5.04 0 [] -subset(singleton(A),B)|in(A,B).
% 4.86/5.04 0 [] subset(singleton(A),B)| -in(A,B).
% 4.86/5.04 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 4.86/5.04 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 4.86/5.04 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 4.86/5.04 0 [] -relation(B)| -well_ordering(B)| -subset(A,relation_field(B))|relation_field(relation_restriction(B,A))=A.
% 4.86/5.04 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.86/5.04 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.86/5.04 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.86/5.04 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.86/5.04 0 [] set_difference(A,empty_set)=A.
% 4.86/5.04 0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 4.86/5.04 0 [] -element(A,powerset(B))|subset(A,B).
% 4.86/5.04 0 [] element(A,powerset(B))| -subset(A,B).
% 4.86/5.04 0 [] disjoint(A,B)|in($f109(A,B),A).
% 4.86/5.04 0 [] disjoint(A,B)|in($f109(A,B),B).
% 4.86/5.04 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 4.86/5.04 0 [] -subset(A,empty_set)|A=empty_set.
% 4.86/5.04 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.86/5.04 0 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 4.86/5.04 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f110(A)).
% 4.86/5.04 0 [] -ordinal(A)|being_limit_ordinal(A)|in($f110(A),A).
% 4.86/5.04 0 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f110(A)),A).
% 4.86/5.04 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f111(A)).
% 4.86/5.04 0 [] -ordinal(A)|being_limit_ordinal(A)|A=succ($f111(A)).
% 4.86/5.04 0 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 4.86/5.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 4.86/5.04 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 4.86/5.04 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 4.86/5.04 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 4.86/5.04 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 4.86/5.04 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)).
% 4.86/5.04 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)).
% 4.86/5.04 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_isomorphism(B,A,function_inverse(C)).
% 4.86/5.04 0 [] set_difference(empty_set,A)=empty_set.
% 4.86/5.04 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 4.86/5.04 0 [] disjoint(A,B)|in($f112(A,B),set_intersection2(A,B)).
% 4.86/5.04 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 4.86/5.04 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -reflexive(A)|reflexive(B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -transitive(A)|transitive(B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -connected(A)|connected(B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -antisymmetric(A)|antisymmetric(B).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -well_founded_relation(A)|well_founded_relation(B).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|in(C,relation_rng(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|D=apply(B,C).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f114(A,B),relation_rng(A))|in($f113(A,B),relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f114(A,B),relation_rng(A))|$f114(A,B)=apply(A,$f113(A,B)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f113(A,B)=apply(B,$f114(A,B))|in($f113(A,B),relation_dom(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f113(A,B)=apply(B,$f114(A,B))|$f114(A,B)=apply(A,$f113(A,B)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f113(A,B),relation_dom(A))|$f114(A,B)!=apply(A,$f113(A,B))| -in($f114(A,B),relation_rng(A))|$f113(A,B)!=apply(B,$f114(A,B)).
% 4.86/5.04 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 4.86/5.04 0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -well_ordering(A)| -relation_isomorphism(A,B,C)|well_ordering(B).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 4.86/5.04 0 [] -relation(A)|in(ordered_pair($f116(A),$f115(A)),A)|A=empty_set.
% 4.86/5.04 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 4.86/5.04 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 4.86/5.04 0 [] -relation(A)| -well_founded_relation(A)|is_well_founded_in(A,relation_field(A)).
% 4.86/5.04 0 [] -relation(A)|well_founded_relation(A)| -is_well_founded_in(A,relation_field(A)).
% 4.86/5.04 0 [] relation_dom(empty_set)=empty_set.
% 4.86/5.04 0 [] relation_rng(empty_set)=empty_set.
% 4.86/5.04 0 [] -subset(A,B)| -proper_subset(B,A).
% 4.86/5.04 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 4.86/5.04 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 4.86/5.04 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 4.86/5.04 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 4.86/5.04 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 4.86/5.04 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 4.86/5.04 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 4.86/5.04 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)| -in(D,relation_dom(B))|apply(B,D)=apply(C,D).
% 4.86/5.04 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|in($f117(A,B,C),relation_dom(B)).
% 4.86/5.04 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,$f117(A,B,C))!=apply(C,$f117(A,B,C)).
% 4.86/5.04 0 [] unordered_pair(A,A)=singleton(A).
% 4.86/5.04 0 [] -empty(A)|A=empty_set.
% 4.86/5.04 0 [] -subset(singleton(A),singleton(B))|A=B.
% 4.86/5.04 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 4.86/5.04 0 [] relation_dom(identity_relation(A))=A.
% 4.86/5.04 0 [] relation_rng(identity_relation(A))=A.
% 4.86/5.04 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 4.86/5.04 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 4.86/5.04 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 4.86/5.04 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 4.86/5.04 0 [] -in(A,B)| -empty(B).
% 4.86/5.04 0 [] pair_first(ordered_pair($c14,$c13))!=$c14|pair_second(ordered_pair($c14,$c13))!=$c13.
% 4.86/5.04 0 [] -in(A,B)|in($f118(A,B),B).
% 4.86/5.04 0 [] -in(A,B)| -in(D,B)| -in(D,$f118(A,B)).
% 4.86/5.04 0 [] subset(A,set_union2(A,B)).
% 4.86/5.04 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 4.86/5.04 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 4.86/5.04 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 4.86/5.04 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 4.86/5.04 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 4.86/5.04 0 [] -empty(A)|A=B| -empty(B).
% 4.86/5.04 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 4.86/5.05 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 4.86/5.05 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 4.86/5.05 0 [] -relation(A)| -well_orders(A,relation_field(A))|well_ordering(A).
% 4.86/5.05 0 [] -relation(A)|well_orders(A,relation_field(A))| -well_ordering(A).
% 4.86/5.05 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 4.86/5.05 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 4.86/5.05 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 4.86/5.05 0 [] -in(A,B)|subset(A,union(B)).
% 4.86/5.05 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 4.86/5.05 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 4.86/5.05 0 [] union(powerset(A))=A.
% 4.86/5.05 0 [] in(A,$f120(A)).
% 4.86/5.05 0 [] -in(C,$f120(A))| -subset(D,C)|in(D,$f120(A)).
% 4.86/5.05 0 [] -in(X18,$f120(A))|in($f119(A,X18),$f120(A)).
% 4.86/5.05 0 [] -in(X18,$f120(A))| -subset(E,X18)|in(E,$f119(A,X18)).
% 4.86/5.05 0 [] -subset(X19,$f120(A))|are_e_quipotent(X19,$f120(A))|in(X19,$f120(A)).
% 4.86/5.05 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 4.86/5.05 end_of_list.
% 4.86/5.05
% 4.86/5.05 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 4.86/5.05
% 4.86/5.05 This ia a non-Horn set with equality. The strategy will be
% 4.86/5.05 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 4.86/5.05 deletion, with positive clauses in sos and nonpositive
% 4.86/5.05 clauses in usable.
% 4.86/5.05
% 4.86/5.05 dependent: set(knuth_bendix).
% 4.86/5.05 dependent: set(anl_eq).
% 4.86/5.05 dependent: set(para_from).
% 4.86/5.05 dependent: set(para_into).
% 4.86/5.05 dependent: clear(para_from_right).
% 4.86/5.05 dependent: clear(para_into_right).
% 4.86/5.05 dependent: set(para_from_vars).
% 4.86/5.05 dependent: set(eq_units_both_ways).
% 4.86/5.05 dependent: set(dynamic_demod_all).
% 4.86/5.05 dependent: set(dynamic_demod).
% 4.86/5.05 dependent: set(order_eq).
% 4.86/5.05 dependent: set(back_demod).
% 4.86/5.05 dependent: set(lrpo).
% 4.86/5.05 dependent: set(hyper_res).
% 4.86/5.05 dependent: set(unit_deletion).
% 4.86/5.05 dependent: set(factor).
% 4.86/5.05
% 4.86/5.05 ------------> process usable:
% 4.86/5.05 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 4.86/5.05 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 4.86/5.05 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 4.86/5.05 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_transitive(A).
% 4.86/5.05 ** KEPT (pick-wt=4): 5 [] -ordinal(A)|epsilon_connected(A).
% 4.86/5.05 ** KEPT (pick-wt=4): 6 [] -empty(A)|relation(A).
% 4.86/5.05 ** KEPT (pick-wt=8): 7 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 4.86/5.05 ** KEPT (pick-wt=8): 8 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 4.86/5.05 ** KEPT (pick-wt=6): 9 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 4.86/5.05 ** KEPT (pick-wt=4): 10 [] -empty(A)|epsilon_transitive(A).
% 4.86/5.05 ** KEPT (pick-wt=4): 11 [] -empty(A)|epsilon_connected(A).
% 4.86/5.05 ** KEPT (pick-wt=4): 12 [] -empty(A)|ordinal(A).
% 4.86/5.05 ** KEPT (pick-wt=10): 13 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 4.86/5.05 ** KEPT (pick-wt=14): 14 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 4.86/5.05 ** KEPT (pick-wt=14): 15 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 4.86/5.05 ** KEPT (pick-wt=17): 16 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 4.86/5.05 ** KEPT (pick-wt=20): 17 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 4.86/5.05 ** KEPT (pick-wt=22): 18 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 4.86/5.05 ** KEPT (pick-wt=27): 19 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 4.86/5.05 ** KEPT (pick-wt=6): 20 [] A!=B|subset(A,B).
% 4.86/5.05 ** KEPT (pick-wt=6): 21 [] A!=B|subset(B,A).
% 4.86/5.05 ** KEPT (pick-wt=9): 22 [] A=B| -subset(A,B)| -subset(B,A).
% 4.86/5.05 ** KEPT (pick-wt=17): 23 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 4.86/5.05 ** KEPT (pick-wt=19): 24 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 4.86/5.05 ** KEPT (pick-wt=22): 25 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)|in(ordered_pair(D,E),B)| -in(D,C)| -in(ordered_pair(D,E),A).
% 4.86/5.05 ** KEPT (pick-wt=26): 26 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in($f4(A,C,B),C).
% 4.86/5.05 ** KEPT (pick-wt=31): 27 [] -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).
% 4.86/5.05 ** KEPT (pick-wt=37): 28 [] -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),$f3(A,C,B)),A).
% 4.86/5.05 ** KEPT (pick-wt=20): 29 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 4.86/5.05 ** KEPT (pick-wt=19): 30 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 4.86/5.05 ** KEPT (pick-wt=21): 32 [copy,31,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 4.86/5.05 ** KEPT (pick-wt=24): 33 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 4.86/5.05 ** KEPT (pick-wt=22): 34 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 4.86/5.05 ** KEPT (pick-wt=21): 35 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 4.86/5.05 ** KEPT (pick-wt=26): 37 [copy,36,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 4.86/5.05 ** KEPT (pick-wt=30): 38 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f7(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f7(A,C,B)!=apply(A,D).
% 4.86/5.05 ** KEPT (pick-wt=17): 39 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 4.86/5.05 ** KEPT (pick-wt=19): 40 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 4.86/5.05 ** KEPT (pick-wt=22): 41 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)|in(ordered_pair(D,E),B)| -in(E,C)| -in(ordered_pair(D,E),A).
% 4.86/5.05 ** KEPT (pick-wt=26): 42 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in($f8(C,A,B),C).
% 4.86/5.05 ** KEPT (pick-wt=31): 43 [] -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).
% 4.86/5.05 ** KEPT (pick-wt=37): 44 [] -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),$f8(C,A,B)),A).
% 4.86/5.05 ** KEPT (pick-wt=8): 45 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 4.86/5.05 ** KEPT (pick-wt=8): 46 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 4.86/5.05 ** KEPT (pick-wt=16): 47 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 4.86/5.05 ** KEPT (pick-wt=17): 48 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 4.86/5.05 ** KEPT (pick-wt=21): 49 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 4.86/5.05 ** KEPT (pick-wt=22): 50 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 4.86/5.05 ** KEPT (pick-wt=23): 51 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 4.86/5.05 ** KEPT (pick-wt=30): 52 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f10(A,C,B),B)| -in($f10(A,C,B),relation_dom(A))| -in(apply(A,$f10(A,C,B)),C).
% 4.86/5.05 ** KEPT (pick-wt=19): 53 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 4.86/5.05 ** KEPT (pick-wt=17): 54 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 4.86/5.05 ** KEPT (pick-wt=18): 55 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 4.86/5.05 ** KEPT (pick-wt=24): 56 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 4.86/5.05 ** KEPT (pick-wt=19): 57 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 4.86/5.05 ** KEPT (pick-wt=24): 58 [] -relation(A)|B=relation_image(A,C)| -in($f13(A,C,B),B)| -in(ordered_pair(D,$f13(A,C,B)),A)| -in(D,C).
% 4.86/5.05 ** KEPT (pick-wt=19): 59 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 4.86/5.05 ** KEPT (pick-wt=17): 60 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 4.86/5.05 ** KEPT (pick-wt=18): 61 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 4.86/5.05 ** KEPT (pick-wt=24): 62 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 4.86/5.05 ** KEPT (pick-wt=19): 63 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 4.86/5.05 ** KEPT (pick-wt=24): 64 [] -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).
% 4.86/5.05 ** KEPT (pick-wt=8): 65 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 4.86/5.05 ** KEPT (pick-wt=8): 66 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 4.86/5.05 ** KEPT (pick-wt=8): 67 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 4.86/5.05 ** KEPT (pick-wt=8): 68 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 4.86/5.05 ** KEPT (pick-wt=18): 69 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 4.86/5.05 ** KEPT (pick-wt=12): 70 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 4.86/5.05 ** KEPT (pick-wt=12): 71 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 4.86/5.05 ** KEPT (pick-wt=12): 72 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 4.86/5.05 ** KEPT (pick-wt=20): 73 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 4.86/5.05 ** KEPT (pick-wt=20): 74 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 4.86/5.05 ** KEPT (pick-wt=20): 75 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 4.86/5.05 ** KEPT (pick-wt=12): 77 [copy,76,factor_simp] A!=ordered_pair(B,C)|D!=pair_first(A)|D=B.
% 4.86/5.05 ** KEPT (pick-wt=18): 79 [copy,78,flip.3] A!=ordered_pair(B,C)|D=pair_first(A)|ordered_pair($f19(A,D),$f18(A,D))=A.
% 4.86/5.05 ** KEPT (pick-wt=14): 81 [copy,80,flip.3] A!=ordered_pair(B,C)|D=pair_first(A)|$f19(A,D)!=D.
% 4.86/5.05 ** KEPT (pick-wt=14): 83 [copy,82,flip.3] -relation(A)| -in(B,A)|ordered_pair($f21(A,B),$f20(A,B))=B.
% 4.86/5.05 ** KEPT (pick-wt=8): 84 [] relation(A)|$f22(A)!=ordered_pair(B,C).
% 4.86/5.05 ** KEPT (pick-wt=13): 85 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 4.86/5.05 ** KEPT (pick-wt=10): 86 [] -relation(A)|is_reflexive_in(A,B)|in($f23(A,B),B).
% 4.86/5.05 ** KEPT (pick-wt=14): 87 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f23(A,B),$f23(A,B)),A).
% 4.86/5.05 ** KEPT (pick-wt=9): 88 [] -relation_of2(A,B,C)|subset(A,cartesian_product2(B,C)).
% 4.86/5.05 ** KEPT (pick-wt=9): 89 [] relation_of2(A,B,C)| -subset(A,cartesian_product2(B,C)).
% 4.86/5.05 ** KEPT (pick-wt=16): 90 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 4.86/5.05 ** KEPT (pick-wt=16): 91 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f24(A,B,C),A).
% 4.86/5.05 ** KEPT (pick-wt=16): 92 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f24(A,B,C)).
% 4.86/5.05 ** KEPT (pick-wt=20): 93 [] A=empty_set|B=set_meet(A)|in($f26(A,B),B)| -in(C,A)|in($f26(A,B),C).
% 4.86/5.05 ** KEPT (pick-wt=17): 94 [] A=empty_set|B=set_meet(A)| -in($f26(A,B),B)|in($f25(A,B),A).
% 4.86/5.05 ** KEPT (pick-wt=19): 95 [] A=empty_set|B=set_meet(A)| -in($f26(A,B),B)| -in($f26(A,B),$f25(A,B)).
% 4.86/5.05 ** KEPT (pick-wt=10): 96 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 4.86/5.05 ** KEPT (pick-wt=10): 97 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 4.86/5.05 ** KEPT (pick-wt=10): 98 [] A!=singleton(B)| -in(C,A)|C=B.
% 4.86/5.05 ** KEPT (pick-wt=10): 99 [] A!=singleton(B)|in(C,A)|C!=B.
% 4.86/5.05 ** KEPT (pick-wt=14): 100 [] A=singleton(B)| -in($f27(B,A),A)|$f27(B,A)!=B.
% 4.86/5.05 ** KEPT (pick-wt=13): 101 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|D!=C.
% 4.86/5.05 ** KEPT (pick-wt=15): 102 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|in(ordered_pair(D,C),A).
% 4.86/5.05 ** KEPT (pick-wt=18): 103 [] -relation(A)|B!=fiber(A,C)|in(D,B)|D=C| -in(ordered_pair(D,C),A).
% 4.86/5.05 ** KEPT (pick-wt=19): 104 [] -relation(A)|B=fiber(A,C)|in($f28(A,C,B),B)|$f28(A,C,B)!=C.
% 4.86/5.05 ** KEPT (pick-wt=21): 105 [] -relation(A)|B=fiber(A,C)|in($f28(A,C,B),B)|in(ordered_pair($f28(A,C,B),C),A).
% 4.86/5.05 ** KEPT (pick-wt=27): 106 [] -relation(A)|B=fiber(A,C)| -in($f28(A,C,B),B)|$f28(A,C,B)=C| -in(ordered_pair($f28(A,C,B),C),A).
% 4.86/5.05 ** KEPT (pick-wt=6): 107 [] A!=empty_set| -in(B,A).
% 4.86/5.05 ** KEPT (pick-wt=10): 108 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 4.86/5.06 ** KEPT (pick-wt=10): 109 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 4.86/5.06 ** KEPT (pick-wt=14): 110 [] A=powerset(B)| -in($f30(B,A),A)| -subset($f30(B,A),B).
% 4.86/5.06 ** KEPT (pick-wt=12): 112 [copy,111,factor_simp] A!=ordered_pair(B,C)|D!=pair_second(A)|D=C.
% 4.86/5.06 ** KEPT (pick-wt=18): 114 [copy,113,flip.3] A!=ordered_pair(B,C)|D=pair_second(A)|ordered_pair($f32(A,D),$f31(A,D))=A.
% 4.86/5.06 ** KEPT (pick-wt=14): 116 [copy,115,flip.3] A!=ordered_pair(B,C)|D=pair_second(A)|$f31(A,D)!=D.
% 4.86/5.06 ** KEPT (pick-wt=8): 117 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 4.86/5.06 ** KEPT (pick-wt=6): 118 [] epsilon_transitive(A)| -subset($f33(A),A).
% 4.86/5.06 ** KEPT (pick-wt=17): 119 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.86/5.06 ** KEPT (pick-wt=17): 120 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 4.86/5.06 ** KEPT (pick-wt=25): 121 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f35(A,B),$f34(A,B)),A)|in(ordered_pair($f35(A,B),$f34(A,B)),B).
% 4.86/5.06 ** KEPT (pick-wt=25): 122 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f35(A,B),$f34(A,B)),A)| -in(ordered_pair($f35(A,B),$f34(A,B)),B).
% 4.86/5.06 ** KEPT (pick-wt=8): 123 [] empty(A)| -element(B,A)|in(B,A).
% 4.86/5.06 ** KEPT (pick-wt=8): 124 [] empty(A)|element(B,A)| -in(B,A).
% 4.86/5.06 ** KEPT (pick-wt=7): 125 [] -empty(A)| -element(B,A)|empty(B).
% 4.86/5.06 ** KEPT (pick-wt=7): 126 [] -empty(A)|element(B,A)| -empty(B).
% 4.86/5.06 ** KEPT (pick-wt=14): 127 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 4.86/5.06 ** KEPT (pick-wt=11): 128 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 4.86/5.06 ** KEPT (pick-wt=11): 129 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 4.86/5.06 ** KEPT (pick-wt=17): 130 [] A=unordered_pair(B,C)| -in($f36(B,C,A),A)|$f36(B,C,A)!=B.
% 4.86/5.06 ** KEPT (pick-wt=17): 131 [] A=unordered_pair(B,C)| -in($f36(B,C,A),A)|$f36(B,C,A)!=C.
% 4.86/5.06 ** KEPT (pick-wt=16): 132 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f37(A,B),B).
% 4.86/5.06 ** KEPT (pick-wt=18): 133 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f37(A,B)),B).
% 4.86/5.06 ** KEPT (pick-wt=9): 134 [] -relation(A)|well_founded_relation(A)|subset($f38(A),relation_field(A)).
% 4.86/5.06 ** KEPT (pick-wt=8): 135 [] -relation(A)|well_founded_relation(A)|$f38(A)!=empty_set.
% 4.86/5.06 ** KEPT (pick-wt=14): 136 [] -relation(A)|well_founded_relation(A)| -in(B,$f38(A))| -disjoint(fiber(A,B),$f38(A)).
% 4.86/5.06 ** KEPT (pick-wt=14): 137 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 4.86/5.06 ** KEPT (pick-wt=11): 138 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 4.86/5.06 ** KEPT (pick-wt=11): 139 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 4.86/5.06 ** KEPT (pick-wt=17): 140 [] A=set_union2(B,C)| -in($f39(B,C,A),A)| -in($f39(B,C,A),B).
% 4.86/5.06 ** KEPT (pick-wt=17): 141 [] A=set_union2(B,C)| -in($f39(B,C,A),A)| -in($f39(B,C,A),C).
% 4.86/5.06 ** KEPT (pick-wt=15): 142 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f41(B,C,A,D),B).
% 4.86/5.06 ** KEPT (pick-wt=15): 143 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f40(B,C,A,D),C).
% 4.86/5.06 ** KEPT (pick-wt=21): 145 [copy,144,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f41(B,C,A,D),$f40(B,C,A,D))=D.
% 4.86/5.06 ** KEPT (pick-wt=19): 146 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 4.86/5.06 ** KEPT (pick-wt=25): 147 [] A=cartesian_product2(B,C)| -in($f44(B,C,A),A)| -in(D,B)| -in(E,C)|$f44(B,C,A)!=ordered_pair(D,E).
% 4.86/5.06 ** KEPT (pick-wt=17): 148 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 4.86/5.06 ** KEPT (pick-wt=7): 149 [] epsilon_connected(A)| -in($f46(A),$f45(A)).
% 4.86/5.06 ** KEPT (pick-wt=7): 150 [] epsilon_connected(A)|$f46(A)!=$f45(A).
% 4.86/5.06 ** KEPT (pick-wt=7): 151 [] epsilon_connected(A)| -in($f45(A),$f46(A)).
% 4.86/5.06 ** KEPT (pick-wt=17): 152 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.86/5.06 ** KEPT (pick-wt=16): 153 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f48(A,B),$f47(A,B)),A).
% 4.86/5.06 ** KEPT (pick-wt=16): 154 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f48(A,B),$f47(A,B)),B).
% 4.86/5.06 ** KEPT (pick-wt=9): 155 [] -subset(A,B)| -in(C,A)|in(C,B).
% 4.86/5.06 ** KEPT (pick-wt=8): 156 [] subset(A,B)| -in($f49(A,B),B).
% 4.86/5.06 ** KEPT (pick-wt=17): 157 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f50(A,B,C),C).
% 4.98/5.06 ** KEPT (pick-wt=19): 158 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f50(A,B,C)),C).
% 4.98/5.06 ** KEPT (pick-wt=10): 159 [] -relation(A)|is_well_founded_in(A,B)|subset($f51(A,B),B).
% 4.98/5.06 ** KEPT (pick-wt=10): 160 [] -relation(A)|is_well_founded_in(A,B)|$f51(A,B)!=empty_set.
% 4.98/5.06 ** KEPT (pick-wt=17): 161 [] -relation(A)|is_well_founded_in(A,B)| -in(C,$f51(A,B))| -disjoint(fiber(A,C),$f51(A,B)).
% 4.98/5.06 ** KEPT (pick-wt=11): 162 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 4.98/5.06 ** KEPT (pick-wt=11): 163 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 4.98/5.06 ** KEPT (pick-wt=14): 164 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 4.98/5.06 ** KEPT (pick-wt=23): 165 [] A=set_intersection2(B,C)| -in($f52(B,C,A),A)| -in($f52(B,C,A),B)| -in($f52(B,C,A),C).
% 4.98/5.06 ** KEPT (pick-wt=18): 166 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 4.98/5.06 ** KEPT (pick-wt=18): 167 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 4.98/5.06 ** KEPT (pick-wt=16): 168 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 4.98/5.06 ** KEPT (pick-wt=16): 169 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 4.98/5.06 Following clause subsumed by 4 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.98/5.06 Following clause subsumed by 5 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 4.98/5.06 Following clause subsumed by 9 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 4.98/5.06 ** KEPT (pick-wt=17): 170 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f53(A,B,C)),A).
% 4.98/5.06 ** KEPT (pick-wt=14): 171 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 4.98/5.06 ** KEPT (pick-wt=20): 172 [] -relation(A)|B=relation_dom(A)|in($f55(A,B),B)|in(ordered_pair($f55(A,B),$f54(A,B)),A).
% 4.98/5.06 ** KEPT (pick-wt=18): 173 [] -relation(A)|B=relation_dom(A)| -in($f55(A,B),B)| -in(ordered_pair($f55(A,B),C),A).
% 4.98/5.06 ** KEPT (pick-wt=24): 174 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 4.98/5.06 ** KEPT (pick-wt=10): 175 [] -relation(A)|is_antisymmetric_in(A,B)|in($f57(A,B),B).
% 4.98/5.06 ** KEPT (pick-wt=10): 176 [] -relation(A)|is_antisymmetric_in(A,B)|in($f56(A,B),B).
% 4.98/5.06 ** KEPT (pick-wt=14): 177 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f57(A,B),$f56(A,B)),A).
% 4.98/5.06 ** KEPT (pick-wt=14): 178 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f56(A,B),$f57(A,B)),A).
% 4.98/5.06 ** KEPT (pick-wt=12): 179 [] -relation(A)|is_antisymmetric_in(A,B)|$f57(A,B)!=$f56(A,B).
% 4.98/5.06 ** KEPT (pick-wt=13): 180 [] A!=union(B)| -in(C,A)|in(C,$f58(B,A,C)).
% 4.98/5.06 ** KEPT (pick-wt=13): 181 [] A!=union(B)| -in(C,A)|in($f58(B,A,C),B).
% 4.98/5.06 ** KEPT (pick-wt=13): 182 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 4.98/5.06 ** KEPT (pick-wt=17): 183 [] A=union(B)| -in($f60(B,A),A)| -in($f60(B,A),C)| -in(C,B).
% 4.98/5.06 ** KEPT (pick-wt=6): 184 [] -relation(A)| -well_ordering(A)|reflexive(A).
% 4.98/5.06 ** KEPT (pick-wt=6): 185 [] -relation(A)| -well_ordering(A)|transitive(A).
% 4.98/5.06 ** KEPT (pick-wt=6): 186 [] -relation(A)| -well_ordering(A)|antisymmetric(A).
% 4.98/5.06 ** KEPT (pick-wt=6): 187 [] -relation(A)| -well_ordering(A)|connected(A).
% 4.98/5.06 ** KEPT (pick-wt=6): 188 [] -relation(A)| -well_ordering(A)|well_founded_relation(A).
% 4.98/5.06 ** KEPT (pick-wt=14): 189 [] -relation(A)|well_ordering(A)| -reflexive(A)| -transitive(A)| -antisymmetric(A)| -connected(A)| -well_founded_relation(A).
% 4.98/5.06 ** KEPT (pick-wt=11): 190 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 4.98/5.06 ** KEPT (pick-wt=11): 191 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 4.98/5.06 ** KEPT (pick-wt=14): 192 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 4.98/5.06 ** KEPT (pick-wt=17): 193 [] A=set_difference(B,C)|in($f61(B,C,A),A)| -in($f61(B,C,A),C).
% 4.98/5.06 ** KEPT (pick-wt=23): 194 [] A=set_difference(B,C)| -in($f61(B,C,A),A)| -in($f61(B,C,A),B)|in($f61(B,C,A),C).
% 4.98/5.06 ** KEPT (pick-wt=18): 195 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f62(A,B,C),relation_dom(A)).
% 4.98/5.06 ** KEPT (pick-wt=19): 197 [copy,196,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f62(A,B,C))=C.
% 4.98/5.07 ** KEPT (pick-wt=20): 198 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 4.98/5.07 ** KEPT (pick-wt=19): 199 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f64(A,B),B)|in($f63(A,B),relation_dom(A)).
% 4.98/5.07 ** KEPT (pick-wt=22): 201 [copy,200,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f64(A,B),B)|apply(A,$f63(A,B))=$f64(A,B).
% 4.98/5.07 ** KEPT (pick-wt=24): 202 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f64(A,B),B)| -in(C,relation_dom(A))|$f64(A,B)!=apply(A,C).
% 4.98/5.07 ** KEPT (pick-wt=17): 203 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f65(A,B,C),C),A).
% 4.98/5.07 ** KEPT (pick-wt=14): 204 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 4.98/5.07 ** KEPT (pick-wt=20): 205 [] -relation(A)|B=relation_rng(A)|in($f67(A,B),B)|in(ordered_pair($f66(A,B),$f67(A,B)),A).
% 4.98/5.07 ** KEPT (pick-wt=18): 206 [] -relation(A)|B=relation_rng(A)| -in($f67(A,B),B)| -in(ordered_pair(C,$f67(A,B)),A).
% 4.98/5.07 ** KEPT (pick-wt=11): 207 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 4.98/5.07 ** KEPT (pick-wt=8): 208 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 4.98/5.07 ** KEPT (pick-wt=8): 209 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 4.98/5.07 ** KEPT (pick-wt=8): 210 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 4.98/5.07 ** KEPT (pick-wt=8): 211 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 4.98/5.07 ** KEPT (pick-wt=8): 212 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 4.98/5.07 ** KEPT (pick-wt=20): 213 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 4.98/5.07 ** KEPT (pick-wt=6): 215 [copy,214,flip.2] -being_limit_ordinal(A)|union(A)=A.
% 4.98/5.07 ** KEPT (pick-wt=6): 217 [copy,216,flip.2] being_limit_ordinal(A)|union(A)!=A.
% 4.98/5.07 ** KEPT (pick-wt=10): 219 [copy,218,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 4.98/5.07 ** KEPT (pick-wt=24): 220 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 4.98/5.07 ** KEPT (pick-wt=10): 221 [] -relation(A)|is_connected_in(A,B)|in($f69(A,B),B).
% 4.98/5.07 ** KEPT (pick-wt=10): 222 [] -relation(A)|is_connected_in(A,B)|in($f68(A,B),B).
% 4.98/5.07 ** KEPT (pick-wt=12): 223 [] -relation(A)|is_connected_in(A,B)|$f69(A,B)!=$f68(A,B).
% 4.98/5.07 ** KEPT (pick-wt=14): 224 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f69(A,B),$f68(A,B)),A).
% 4.98/5.07 ** KEPT (pick-wt=14): 225 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f68(A,B),$f69(A,B)),A).
% 4.98/5.07 ** KEPT (pick-wt=11): 227 [copy,226,flip.2] -relation(A)|set_intersection2(A,cartesian_product2(B,B))=relation_restriction(A,B).
% 4.98/5.07 ** KEPT (pick-wt=18): 228 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 4.98/5.07 ** KEPT (pick-wt=18): 229 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 4.98/5.07 ** KEPT (pick-wt=26): 230 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f71(A,B),$f70(A,B)),B)|in(ordered_pair($f70(A,B),$f71(A,B)),A).
% 4.98/5.07 ** KEPT (pick-wt=26): 231 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f71(A,B),$f70(A,B)),B)| -in(ordered_pair($f70(A,B),$f71(A,B)),A).
% 4.98/5.07 ** KEPT (pick-wt=17): 232 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_dom(C)=relation_field(A).
% 4.98/5.07 ** KEPT (pick-wt=17): 233 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_rng(C)=relation_field(B).
% 4.98/5.07 ** KEPT (pick-wt=14): 234 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|one_to_one(C).
% 4.98/5.07 ** KEPT (pick-wt=21): 235 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(D,relation_field(A)).
% 4.98/5.07 ** KEPT (pick-wt=21): 236 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(E,relation_field(A)).
% 4.98/5.07 ** KEPT (pick-wt=26): 237 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(ordered_pair(apply(C,D),apply(C,E)),B).
% 5.00/5.07 ** KEPT (pick-wt=34): 238 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|in(ordered_pair(D,E),A)| -in(D,relation_field(A))| -in(E,relation_field(A))| -in(ordered_pair(apply(C,D),apply(C,E)),B).
% 5.00/5.07 ** KEPT (pick-wt=42): 239 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)|in($f73(A,B,C),relation_field(A)).
% 5.00/5.07 ** KEPT (pick-wt=42): 240 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)|in($f72(A,B,C),relation_field(A)).
% 5.00/5.07 ** KEPT (pick-wt=50): 241 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)|in(ordered_pair(apply(C,$f73(A,B,C)),apply(C,$f72(A,B,C))),B).
% 5.00/5.07 ** KEPT (pick-wt=64): 242 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)| -in(ordered_pair($f73(A,B,C),$f72(A,B,C)),A)| -in($f73(A,B,C),relation_field(A))| -in($f72(A,B,C),relation_field(A))| -in(ordered_pair(apply(C,$f73(A,B,C)),apply(C,$f72(A,B,C))),B).
% 5.00/5.07 ** KEPT (pick-wt=8): 243 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 5.00/5.07 ** KEPT (pick-wt=8): 244 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 5.00/5.07 ** KEPT (pick-wt=24): 245 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 5.00/5.07 ** KEPT (pick-wt=11): 246 [] -relation(A)| -function(A)|one_to_one(A)|in($f75(A),relation_dom(A)).
% 5.00/5.07 ** KEPT (pick-wt=11): 247 [] -relation(A)| -function(A)|one_to_one(A)|in($f74(A),relation_dom(A)).
% 5.00/5.07 ** KEPT (pick-wt=15): 248 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f75(A))=apply(A,$f74(A)).
% 5.00/5.07 ** KEPT (pick-wt=11): 249 [] -relation(A)| -function(A)|one_to_one(A)|$f75(A)!=$f74(A).
% 5.00/5.07 ** KEPT (pick-wt=26): 250 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f76(A,B,C,D,E)),A).
% 5.00/5.07 ** KEPT (pick-wt=26): 251 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f76(A,B,C,D,E),E),B).
% 5.00/5.07 ** KEPT (pick-wt=26): 252 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 5.00/5.07 ** KEPT (pick-wt=33): 253 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f79(A,B,C),$f78(A,B,C)),C)|in(ordered_pair($f79(A,B,C),$f77(A,B,C)),A).
% 5.00/5.07 ** KEPT (pick-wt=33): 254 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f79(A,B,C),$f78(A,B,C)),C)|in(ordered_pair($f77(A,B,C),$f78(A,B,C)),B).
% 5.00/5.07 ** KEPT (pick-wt=38): 255 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f79(A,B,C),$f78(A,B,C)),C)| -in(ordered_pair($f79(A,B,C),D),A)| -in(ordered_pair(D,$f78(A,B,C)),B).
% 5.00/5.07 ** KEPT (pick-wt=29): 256 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 5.00/5.07 ** KEPT (pick-wt=10): 257 [] -relation(A)|is_transitive_in(A,B)|in($f82(A,B),B).
% 5.00/5.07 ** KEPT (pick-wt=10): 258 [] -relation(A)|is_transitive_in(A,B)|in($f81(A,B),B).
% 5.00/5.07 ** KEPT (pick-wt=10): 259 [] -relation(A)|is_transitive_in(A,B)|in($f80(A,B),B).
% 5.00/5.07 ** KEPT (pick-wt=14): 260 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f82(A,B),$f81(A,B)),A).
% 5.00/5.07 ** KEPT (pick-wt=14): 261 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f81(A,B),$f80(A,B)),A).
% 5.00/5.07 ** KEPT (pick-wt=14): 262 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f82(A,B),$f80(A,B)),A).
% 5.00/5.08 ** KEPT (pick-wt=27): 263 [] -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).
% 5.00/5.08 ** KEPT (pick-wt=27): 264 [] -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).
% 5.00/5.08 ** KEPT (pick-wt=22): 265 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f83(B,A,C),powerset(B)).
% 5.00/5.08 ** KEPT (pick-wt=29): 266 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f83(B,A,C),C)|in(subset_complement(B,$f83(B,A,C)),A).
% 5.00/5.08 ** KEPT (pick-wt=29): 267 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f83(B,A,C),C)| -in(subset_complement(B,$f83(B,A,C)),A).
% 5.00/5.08 ** KEPT (pick-wt=6): 268 [] -proper_subset(A,B)|subset(A,B).
% 5.00/5.08 ** KEPT (pick-wt=6): 269 [] -proper_subset(A,B)|A!=B.
% 5.00/5.08 ** KEPT (pick-wt=9): 270 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 5.00/5.08 ** KEPT (pick-wt=11): 272 [copy,271,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 5.00/5.08 ** KEPT (pick-wt=8): 273 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 274 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 5.00/5.08 ** KEPT (pick-wt=7): 275 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 5.00/5.08 ** KEPT (pick-wt=7): 276 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 5.00/5.08 ** KEPT (pick-wt=6): 277 [] -relation(A)|relation(relation_restriction(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=10): 278 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 5.00/5.08 ** KEPT (pick-wt=5): 279 [] -relation(A)|relation(relation_inverse(A)).
% 5.00/5.08 ** KEPT (pick-wt=11): 280 [] -relation_of2(A,B,C)|element(relation_dom_as_subset(B,C,A),powerset(B)).
% 5.00/5.08 ** KEPT (pick-wt=8): 281 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=11): 282 [] -relation_of2(A,B,C)|element(relation_rng_as_subset(B,C,A),powerset(C)).
% 5.00/5.08 ** KEPT (pick-wt=11): 283 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 5.00/5.08 ** KEPT (pick-wt=11): 284 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 5.00/5.08 ** KEPT (pick-wt=15): 285 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 5.00/5.08 ** KEPT (pick-wt=6): 286 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=12): 287 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 5.00/5.08 ** KEPT (pick-wt=6): 288 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 5.00/5.08 ** KEPT (pick-wt=10): 289 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 5.00/5.08 ** KEPT (pick-wt=8): 290 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 291 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 292 [] -empty(A)|empty(relation_inverse(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 293 [] -empty(A)|relation(relation_inverse(A)).
% 5.00/5.08 Following clause subsumed by 286 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=8): 294 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 5.00/5.08 Following clause subsumed by 281 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=12): 295 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=3): 296 [] -empty(succ(A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 297 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=3): 298 [] -empty(powerset(A)).
% 5.00/5.08 ** KEPT (pick-wt=4): 299 [] -empty(ordered_pair(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=8): 300 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=3): 301 [] -empty(singleton(A)).
% 5.00/5.08 ** KEPT (pick-wt=6): 302 [] empty(A)| -empty(set_union2(A,B)).
% 5.00/5.08 Following clause subsumed by 279 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 5.00/5.08 ** KEPT (pick-wt=9): 303 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 5.00/5.08 Following clause subsumed by 296 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 304 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 305 [] -ordinal(A)|epsilon_connected(succ(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 306 [] -ordinal(A)|ordinal(succ(A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 307 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=4): 308 [] -empty(unordered_pair(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=6): 309 [] empty(A)| -empty(set_union2(B,A)).
% 5.00/5.08 Following clause subsumed by 286 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=8): 310 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=5): 311 [] -ordinal(A)|epsilon_transitive(union(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 312 [] -ordinal(A)|epsilon_connected(union(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 313 [] -ordinal(A)|ordinal(union(A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 314 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 5.00/5.08 Following clause subsumed by 288 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_rng_restriction(B,A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 315 [] -relation(A)| -function(A)|function(relation_rng_restriction(B,A)).
% 5.00/5.08 ** KEPT (pick-wt=7): 316 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 5.00/5.08 ** KEPT (pick-wt=7): 317 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 318 [] -empty(A)|empty(relation_dom(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 319 [] -empty(A)|relation(relation_dom(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 320 [] -empty(A)|empty(relation_rng(A)).
% 5.00/5.08 ** KEPT (pick-wt=5): 321 [] -empty(A)|relation(relation_rng(A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 322 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=8): 323 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 5.00/5.08 ** KEPT (pick-wt=11): 324 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 5.00/5.08 ** KEPT (pick-wt=7): 325 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 5.00/5.08 ** KEPT (pick-wt=12): 326 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 5.00/5.08 ** KEPT (pick-wt=3): 327 [] -proper_subset(A,A).
% 5.00/5.08 ** KEPT (pick-wt=13): 328 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 5.00/5.08 ** KEPT (pick-wt=9): 329 [] -relation(A)|reflexive(A)|in($f87(A),relation_field(A)).
% 5.00/5.08 ** KEPT (pick-wt=11): 330 [] -relation(A)|reflexive(A)| -in(ordered_pair($f87(A),$f87(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=4): 331 [] singleton(A)!=empty_set.
% 5.00/5.08 ** KEPT (pick-wt=9): 332 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 5.00/5.08 ** KEPT (pick-wt=7): 333 [] -disjoint(singleton(A),B)| -in(A,B).
% 5.00/5.08 ** KEPT (pick-wt=9): 334 [] -relation(A)|subset(relation_dom(relation_rng_restriction(B,A)),relation_dom(A)).
% 5.00/5.08 ** KEPT (pick-wt=19): 335 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 5.00/5.08 ** KEPT (pick-wt=11): 336 [] -relation(A)|transitive(A)|in(ordered_pair($f90(A),$f89(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=11): 337 [] -relation(A)|transitive(A)|in(ordered_pair($f89(A),$f88(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=11): 338 [] -relation(A)|transitive(A)| -in(ordered_pair($f90(A),$f88(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=7): 339 [] -subset(singleton(A),B)|in(A,B).
% 5.00/5.08 ** KEPT (pick-wt=7): 340 [] subset(singleton(A),B)| -in(A,B).
% 5.00/5.08 ** KEPT (pick-wt=8): 341 [] set_difference(A,B)!=empty_set|subset(A,B).
% 5.00/5.08 ** KEPT (pick-wt=8): 342 [] set_difference(A,B)=empty_set| -subset(A,B).
% 5.00/5.08 ** KEPT (pick-wt=10): 343 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 5.00/5.08 ** KEPT (pick-wt=17): 344 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 5.00/5.08 ** KEPT (pick-wt=11): 345 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f92(A),$f91(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=11): 346 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f91(A),$f92(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=9): 347 [] -relation(A)|antisymmetric(A)|$f92(A)!=$f91(A).
% 5.00/5.08 ** KEPT (pick-wt=12): 348 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 5.00/5.08 ** KEPT (pick-wt=25): 349 [] -relation(A)| -connected(A)| -in(B,relation_field(A))| -in(C,relation_field(A))|B=C|in(ordered_pair(B,C),A)|in(ordered_pair(C,B),A).
% 5.00/5.08 ** KEPT (pick-wt=9): 350 [] -relation(A)|connected(A)|in($f94(A),relation_field(A)).
% 5.00/5.08 ** KEPT (pick-wt=9): 351 [] -relation(A)|connected(A)|in($f93(A),relation_field(A)).
% 5.00/5.08 ** KEPT (pick-wt=9): 352 [] -relation(A)|connected(A)|$f94(A)!=$f93(A).
% 5.00/5.08 ** KEPT (pick-wt=11): 353 [] -relation(A)|connected(A)| -in(ordered_pair($f94(A),$f93(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=11): 354 [] -relation(A)|connected(A)| -in(ordered_pair($f93(A),$f94(A)),A).
% 5.00/5.08 ** KEPT (pick-wt=11): 355 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 5.00/5.08 ** KEPT (pick-wt=7): 356 [] subset(A,singleton(B))|A!=empty_set.
% 5.00/5.08 Following clause subsumed by 20 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 5.00/5.08 ** KEPT (pick-wt=7): 357 [] -in(A,B)|subset(A,union(B)).
% 5.00/5.08 ** KEPT (pick-wt=10): 358 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 5.00/5.08 ** KEPT (pick-wt=10): 359 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 5.00/5.08 ** KEPT (pick-wt=13): 360 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 5.00/5.08 ** KEPT (pick-wt=9): 361 [] -in($f95(A,B),B)|element(A,powerset(B)).
% 5.00/5.08 ** KEPT (pick-wt=14): 362 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 5.00/5.08 ** KEPT (pick-wt=13): 363 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 5.00/5.08 ** KEPT (pick-wt=17): 364 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 5.00/5.08 ** KEPT (pick-wt=5): 365 [] empty(A)| -empty($f96(A)).
% 5.00/5.08 ** KEPT (pick-wt=2): 366 [] -empty($c7).
% 5.00/5.08 ** KEPT (pick-wt=2): 367 [] -empty($c8).
% 5.00/5.08 ** KEPT (pick-wt=2): 368 [] -empty($c10).
% 5.00/5.08 ** KEPT (pick-wt=11): 369 [] -relation_of2(A,B,C)|relation_dom_as_subset(B,C,A)=relation_dom(A).
% 5.00/5.08 ** KEPT (pick-wt=11): 370 [] -relation_of2(A,B,C)|relation_rng_as_subset(B,C,A)=relation_rng(A).
% 5.00/5.08 ** KEPT (pick-wt=11): 371 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 5.00/5.08 ** KEPT (pick-wt=11): 372 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 5.00/5.08 ** KEPT (pick-wt=16): 373 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 5.00/5.08 ** KEPT (pick-wt=8): 374 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 5.00/5.08 ** KEPT (pick-wt=8): 375 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 5.00/5.08 ** KEPT (pick-wt=10): 376 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 5.00/5.08 ** KEPT (pick-wt=10): 377 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 5.00/5.08 ** KEPT (pick-wt=5): 379 [copy,378,factor_simp] -ordinal(A)|ordinal_subset(A,A).
% 5.00/5.08 ** KEPT (pick-wt=6): 380 [] -disjoint(A,B)|disjoint(B,A).
% 5.00/5.08 Following clause subsumed by 358 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 5.00/5.08 Following clause subsumed by 359 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 5.00/5.08 Following clause subsumed by 360 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 5.00/5.08 ** KEPT (pick-wt=13): 381 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 5.00/5.08 ** KEPT (pick-wt=11): 382 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 5.00/5.08 ** KEPT (pick-wt=12): 383 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 5.00/5.08 ** KEPT (pick-wt=15): 384 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 5.00/5.08 ** KEPT (pick-wt=8): 385 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 5.00/5.08 ** KEPT (pick-wt=7): 386 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 5.00/5.08 ** KEPT (pick-wt=9): 387 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 5.00/5.08 ** KEPT (pick-wt=10): 388 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 5.00/5.09 ** KEPT (pick-wt=10): 389 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 5.00/5.09 ** KEPT (pick-wt=11): 390 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 5.00/5.09 ** KEPT (pick-wt=13): 391 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 5.00/5.09 ** KEPT (pick-wt=8): 392 [] -relation_of2_as_subset(A,B,C)|subset(relation_dom(A),B).
% 5.00/5.09 ** KEPT (pick-wt=8): 393 [] -relation_of2_as_subset(A,B,C)|subset(relation_rng(A),C).
% 5.00/5.09 ** KEPT (pick-wt=8): 394 [] -subset(A,B)|set_union2(A,B)=B.
% 5.00/5.09 ** KEPT (pick-wt=11): 395 [] -in(A,$f98(B))| -subset(C,A)|in(C,$f98(B)).
% 5.00/5.09 ** KEPT (pick-wt=9): 396 [] -in(A,$f98(B))|in(powerset(A),$f98(B)).
% 5.00/5.09 ** KEPT (pick-wt=12): 397 [] -subset(A,$f98(B))|are_e_quipotent(A,$f98(B))|in(A,$f98(B)).
% 5.00/5.09 ** KEPT (pick-wt=13): 399 [copy,398,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 5.00/5.09 ** KEPT (pick-wt=14): 400 [] -relation(A)| -in(B,relation_image(A,C))|in($f99(B,C,A),relation_dom(A)).
% 5.00/5.09 ** KEPT (pick-wt=15): 401 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f99(B,C,A),B),A).
% 5.00/5.09 ** KEPT (pick-wt=13): 402 [] -relation(A)| -in(B,relation_image(A,C))|in($f99(B,C,A),C).
% 5.00/5.09 ** KEPT (pick-wt=19): 403 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 5.00/5.09 ** KEPT (pick-wt=8): 404 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 5.00/5.09 ** KEPT (pick-wt=11): 405 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 5.00/5.09 ** KEPT (pick-wt=12): 407 [copy,406,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 5.00/5.09 ** KEPT (pick-wt=13): 408 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 5.00/5.09 ** KEPT (pick-wt=9): 410 [copy,409,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 5.00/5.09 ** KEPT (pick-wt=15): 411 [] -relation(A)| -function(A)| -subset(B,relation_rng(A))|relation_image(A,relation_inverse_image(A,B))=B.
% 5.00/5.09 ** KEPT (pick-wt=12): 412 [] -relation_of2_as_subset(A,B,C)| -subset(relation_rng(A),D)|relation_of2_as_subset(A,B,D).
% 5.00/5.09 ** KEPT (pick-wt=13): 413 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 5.00/5.09 ** KEPT (pick-wt=14): 414 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f100(B,C,A),relation_rng(A)).
% 5.00/5.09 ** KEPT (pick-wt=15): 415 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f100(B,C,A)),A).
% 5.00/5.09 ** KEPT (pick-wt=13): 416 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f100(B,C,A),C).
% 5.00/5.09 ** KEPT (pick-wt=19): 417 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 5.00/5.09 ** KEPT (pick-wt=8): 418 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 5.00/5.09 ** KEPT (pick-wt=11): 419 [] -relation_of2_as_subset(A,B,C)| -subset(C,D)|relation_of2_as_subset(A,B,D).
% 5.00/5.09 ** KEPT (pick-wt=10): 420 [] -relation(A)| -in(B,relation_restriction(A,C))|in(B,A).
% 5.00/5.09 ** KEPT (pick-wt=12): 421 [] -relation(A)| -in(B,relation_restriction(A,C))|in(B,cartesian_product2(C,C)).
% 5.00/5.09 ** KEPT (pick-wt=15): 422 [] -relation(A)|in(B,relation_restriction(A,C))| -in(B,A)| -in(B,cartesian_product2(C,C)).
% 5.00/5.09 ** KEPT (pick-wt=14): 423 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 5.00/5.09 ** KEPT (pick-wt=12): 424 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 5.00/5.09 ** KEPT (pick-wt=11): 426 [copy,425,flip.2] -relation(A)|relation_dom_restriction(relation_rng_restriction(B,A),B)=relation_restriction(A,B).
% 5.00/5.09 ** KEPT (pick-wt=11): 428 [copy,427,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,B))=relation_restriction(A,B).
% 5.00/5.09 ** KEPT (pick-wt=12): 429 [] -relation(A)| -in(B,relation_field(relation_restriction(A,C)))|in(B,relation_field(A)).
% 5.00/5.09 ** KEPT (pick-wt=11): 430 [] -relation(A)| -in(B,relation_field(relation_restriction(A,C)))|in(B,C).
% 5.00/5.09 ** KEPT (pick-wt=11): 431 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 5.00/5.09 ** KEPT (pick-wt=6): 432 [] -in(A,B)|element(A,B).
% 5.00/5.09 ** KEPT (pick-wt=9): 433 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 5.00/5.09 ** KEPT (pick-wt=11): 434 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 5.00/5.09 ** KEPT (pick-wt=11): 435 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 5.00/5.09 ** KEPT (pick-wt=9): 436 [] -relation(A)|subset(relation_field(relation_restriction(A,B)),relation_field(A)).
% 5.00/5.09 ** KEPT (pick-wt=8): 437 [] -relation(A)|subset(relation_field(relation_restriction(A,B)),B).
% 5.00/5.09 ** KEPT (pick-wt=18): 438 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 5.00/5.09 ** KEPT (pick-wt=20): 439 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 5.00/5.09 ** KEPT (pick-wt=24): 440 [] -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)).
% 5.00/5.09 ** KEPT (pick-wt=10): 441 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 5.00/5.09 ** KEPT (pick-wt=9): 442 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 5.00/5.09 ** KEPT (pick-wt=11): 443 [] -relation(A)|subset(fiber(relation_restriction(A,B),C),fiber(A,C)).
% 5.00/5.09 ** KEPT (pick-wt=25): 444 [] -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)).
% 5.00/5.09 ** KEPT (pick-wt=16): 445 [] -relation_of2_as_subset(A,B,C)|in($f101(C,B,A),B)|relation_dom_as_subset(B,C,A)=B.
% 5.00/5.09 ** KEPT (pick-wt=18): 446 [] -relation_of2_as_subset(A,B,C)| -in(ordered_pair($f101(C,B,A),D),A)|relation_dom_as_subset(B,C,A)=B.
% 5.00/5.09 ** KEPT (pick-wt=22): 447 [] -relation_of2_as_subset(A,B,C)| -in(D,B)|in(ordered_pair(D,$f102(C,B,A,D)),A)|relation_dom_as_subset(B,C,A)!=B.
% 5.00/5.09 ** KEPT (pick-wt=8): 448 [] -relation(A)| -reflexive(A)|reflexive(relation_restriction(A,B)).
% 5.00/5.09 ** KEPT (pick-wt=23): 449 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 5.00/5.09 ** KEPT (pick-wt=7): 450 [] -ordinal(A)| -in(B,A)|ordinal(B).
% 5.00/5.09 ** KEPT (pick-wt=16): 451 [] -relation_of2_as_subset(A,B,C)|in($f103(B,C,A),C)|relation_rng_as_subset(B,C,A)=C.
% 5.00/5.09 ** KEPT (pick-wt=18): 452 [] -relation_of2_as_subset(A,B,C)| -in(ordered_pair(D,$f103(B,C,A)),A)|relation_rng_as_subset(B,C,A)=C.
% 5.00/5.09 ** KEPT (pick-wt=22): 453 [] -relation_of2_as_subset(A,B,C)| -in(D,C)|in(ordered_pair($f104(B,C,A,D),D),A)|relation_rng_as_subset(B,C,A)!=C.
% 5.00/5.09 ** KEPT (pick-wt=8): 454 [] -relation(A)| -connected(A)|connected(relation_restriction(A,B)).
% 5.00/5.09 ** KEPT (pick-wt=13): 455 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 5.00/5.09 ** KEPT (pick-wt=8): 456 [] -relation(A)| -transitive(A)|transitive(relation_restriction(A,B)).
% 5.00/5.09 ** KEPT (pick-wt=12): 457 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 5.00/5.09 ** KEPT (pick-wt=12): 458 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 5.00/5.09 ** KEPT (pick-wt=8): 459 [] -relation(A)| -antisymmetric(A)|antisymmetric(relation_restriction(A,B)).
% 5.00/5.09 ** KEPT (pick-wt=10): 460 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 5.00/5.09 ** KEPT (pick-wt=8): 461 [] -subset(A,B)|set_intersection2(A,B)=A.
% 5.00/5.09 Following clause subsumed by 123 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 5.00/5.09 ** KEPT (pick-wt=13): 462 [] -in($f105(A,B),A)| -in($f105(A,B),B)|A=B.
% 5.00/5.09 ** KEPT (pick-wt=11): 463 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 5.00/5.09 ** KEPT (pick-wt=11): 464 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 5.00/5.09 ** KEPT (pick-wt=9): 465 [] -ordinal($f106(A))| -subset($f106(A),A)|ordinal(A).
% 5.00/5.09 ** KEPT (pick-wt=8): 466 [] -relation(A)| -well_founded_relation(A)|well_founded_relation(relation_restriction(A,B)).
% 5.00/5.09 ** KEPT (pick-wt=12): 467 [] -ordinal(A)| -subset(B,A)|B=empty_set|ordinal($f107(B,A)).
% 5.00/5.10 ** KEPT (pick-wt=13): 468 [] -ordinal(A)| -subset(B,A)|B=empty_set|in($f107(B,A),B).
% 5.00/5.10 ** KEPT (pick-wt=18): 469 [] -ordinal(A)| -subset(B,A)|B=empty_set| -ordinal(C)| -in(C,B)|ordinal_subset($f107(B,A),C).
% 5.00/5.10 ** KEPT (pick-wt=8): 470 [] -relation(A)| -well_ordering(A)|well_ordering(relation_restriction(A,B)).
% 5.00/5.10 ** KEPT (pick-wt=11): 471 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 5.00/5.10 ** KEPT (pick-wt=11): 472 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 5.00/5.10 ** KEPT (pick-wt=10): 473 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 5.00/5.10 ** KEPT (pick-wt=10): 474 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 5.00/5.10 ** KEPT (pick-wt=10): 475 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 5.00/5.10 ** KEPT (pick-wt=12): 476 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 5.00/5.10 ** KEPT (pick-wt=16): 477 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 5.00/5.10 ** KEPT (pick-wt=17): 478 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f108(B,A),B).
% 5.00/5.10 ** KEPT (pick-wt=21): 479 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f108(B,A))!=$f108(B,A).
% 5.00/5.10 ** KEPT (pick-wt=9): 480 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 5.00/5.10 ** KEPT (pick-wt=8): 481 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 5.00/5.10 ** KEPT (pick-wt=8): 483 [copy,482,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 5.00/5.10 Following clause subsumed by 341 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 5.00/5.10 Following clause subsumed by 342 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 5.00/5.10 Following clause subsumed by 339 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 5.00/5.10 Following clause subsumed by 340 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 5.00/5.10 ** KEPT (pick-wt=8): 484 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 5.00/5.10 ** KEPT (pick-wt=8): 485 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 5.00/5.10 ** KEPT (pick-wt=11): 486 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 5.00/5.10 ** KEPT (pick-wt=14): 487 [] -relation(A)| -well_ordering(A)| -subset(B,relation_field(A))|relation_field(relation_restriction(A,B))=B.
% 5.00/5.10 Following clause subsumed by 355 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 5.00/5.10 Following clause subsumed by 356 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 5.00/5.10 Following clause subsumed by 20 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 5.00/5.10 ** KEPT (pick-wt=9): 488 [] -in(A,B)| -in(B,C)| -in(C,A).
% 5.00/5.10 ** KEPT (pick-wt=7): 489 [] -element(A,powerset(B))|subset(A,B).
% 5.00/5.10 ** KEPT (pick-wt=7): 490 [] element(A,powerset(B))| -subset(A,B).
% 5.00/5.10 ** KEPT (pick-wt=9): 491 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 5.00/5.10 ** KEPT (pick-wt=6): 492 [] -subset(A,empty_set)|A=empty_set.
% 5.00/5.10 ** KEPT (pick-wt=13): 493 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 5.00/5.10 ** KEPT (pick-wt=7): 494 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f110(A)).
% 5.00/5.10 ** KEPT (pick-wt=8): 495 [] -ordinal(A)|being_limit_ordinal(A)|in($f110(A),A).
% 5.00/5.10 ** KEPT (pick-wt=9): 496 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f110(A)),A).
% 5.00/5.10 ** KEPT (pick-wt=7): 497 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f111(A)).
% 5.00/5.10 ** KEPT (pick-wt=9): 499 [copy,498,flip.3] -ordinal(A)|being_limit_ordinal(A)|succ($f111(A))=A.
% 5.00/5.10 ** KEPT (pick-wt=10): 500 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 5.00/5.10 ** KEPT (pick-wt=16): 501 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 5.00/5.10 ** KEPT (pick-wt=16): 502 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 5.00/5.10 ** KEPT (pick-wt=11): 503 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 5.00/5.10 ** KEPT (pick-wt=11): 504 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 5.00/5.10 ** KEPT (pick-wt=10): 506 [copy,505,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 5.00/5.10 ** KEPT (pick-wt=16): 507 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 5.00/5.10 ** KEPT (pick-wt=13): 508 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 5.00/5.10 Following clause subsumed by 332 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 5.00/5.10 ** KEPT (pick-wt=16): 509 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 5.00/5.10 ** KEPT (pick-wt=21): 510 [] -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)).
% 5.00/5.10 ** KEPT (pick-wt=21): 511 [] -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)).
% 5.00/5.10 ** KEPT (pick-wt=17): 512 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_isomorphism(B,A,function_inverse(C)).
% 5.00/5.10 ** KEPT (pick-wt=10): 513 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 5.00/5.10 ** KEPT (pick-wt=8): 514 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 5.00/5.10 ** KEPT (pick-wt=18): 515 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 5.00/5.10 ** KEPT (pick-wt=16): 516 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -reflexive(A)|reflexive(B).
% 5.00/5.10 ** KEPT (pick-wt=16): 517 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -transitive(A)|transitive(B).
% 5.00/5.10 ** KEPT (pick-wt=16): 518 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -connected(A)|connected(B).
% 5.00/5.10 ** KEPT (pick-wt=16): 519 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -antisymmetric(A)|antisymmetric(B).
% 5.00/5.10 ** KEPT (pick-wt=16): 520 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -well_founded_relation(A)|well_founded_relation(B).
% 5.00/5.10 ** KEPT (pick-wt=19): 521 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 5.00/5.10 ** KEPT (pick-wt=27): 522 [] -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)).
% 5.00/5.10 ** KEPT (pick-wt=28): 523 [] -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).
% 5.00/5.10 ** KEPT (pick-wt=27): 524 [] -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)).
% 5.00/5.10 ** KEPT (pick-wt=28): 525 [] -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).
% 5.00/5.10 ** KEPT (pick-wt=31): 526 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f114(A,B),relation_rng(A))|in($f113(A,B),relation_dom(A)).
% 5.00/5.10 ** KEPT (pick-wt=34): 528 [copy,527,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f114(A,B),relation_rng(A))|apply(A,$f113(A,B))=$f114(A,B).
% 5.00/5.10 ** KEPT (pick-wt=34): 530 [copy,529,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,$f114(A,B))=$f113(A,B)|in($f113(A,B),relation_dom(A)).
% 5.00/5.10 ** KEPT (pick-wt=37): 532 [copy,531,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f114(A,B))=$f113(A,B)|apply(A,$f113(A,B))=$f114(A,B).
% 5.00/5.10 ** KEPT (pick-wt=49): 534 [copy,533,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f113(A,B),relation_dom(A))|apply(A,$f113(A,B))!=$f114(A,B)| -in($f114(A,B),relation_rng(A))|apply(B,$f114(A,B))!=$f113(A,B).
% 5.05/5.19 ** KEPT (pick-wt=12): 535 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 5.05/5.19 ** KEPT (pick-wt=16): 536 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -well_ordering(A)| -relation_isomorphism(A,B,C)|well_ordering(B).
% 5.05/5.19 ** KEPT (pick-wt=12): 537 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 5.05/5.19 ** KEPT (pick-wt=12): 539 [copy,538,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 5.05/5.19 ** KEPT (pick-wt=12): 540 [] -relation(A)|in(ordered_pair($f116(A),$f115(A)),A)|A=empty_set.
% 5.05/5.19 ** KEPT (pick-wt=18): 542 [copy,541,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 5.05/5.19 ** KEPT (pick-wt=18): 544 [copy,543,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 5.05/5.19 ** KEPT (pick-wt=9): 545 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 5.05/5.19 ** KEPT (pick-wt=8): 546 [] -relation(A)| -well_founded_relation(A)|is_well_founded_in(A,relation_field(A)).
% 5.05/5.19 ** KEPT (pick-wt=8): 547 [] -relation(A)|well_founded_relation(A)| -is_well_founded_in(A,relation_field(A)).
% 5.05/5.19 ** KEPT (pick-wt=6): 548 [] -subset(A,B)| -proper_subset(B,A).
% 5.05/5.19 ** KEPT (pick-wt=9): 549 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 5.05/5.19 ** KEPT (pick-wt=9): 550 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 5.05/5.19 ** KEPT (pick-wt=9): 551 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 5.05/5.19 ** KEPT (pick-wt=9): 552 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 5.05/5.19 ** KEPT (pick-wt=10): 553 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 5.05/5.19 ** KEPT (pick-wt=10): 554 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 5.05/5.19 ** KEPT (pick-wt=9): 555 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 5.05/5.19 ** KEPT (pick-wt=20): 556 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 5.05/5.19 ** KEPT (pick-wt=24): 557 [] -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).
% 5.05/5.19 ** KEPT (pick-wt=27): 558 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f117(C,A,B),relation_dom(A)).
% 5.05/5.19 ** KEPT (pick-wt=33): 559 [] -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,$f117(C,A,B))!=apply(B,$f117(C,A,B)).
% 5.05/5.19 ** KEPT (pick-wt=5): 560 [] -empty(A)|A=empty_set.
% 5.05/5.19 ** KEPT (pick-wt=8): 561 [] -subset(singleton(A),singleton(B))|A=B.
% 5.05/5.19 ** KEPT (pick-wt=19): 562 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 5.05/5.19 ** KEPT (pick-wt=16): 563 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 5.05/5.19 ** KEPT (pick-wt=13): 564 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 5.05/5.19 ** KEPT (pick-wt=15): 565 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 5.05/5.19 ** KEPT (pick-wt=18): 566 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 5.05/5.19 ** KEPT (pick-wt=5): 567 [] -in(A,B)| -empty(B).
% 5.05/5.19 ** KEPT (pick-wt=12): 568 [] pair_first(ordered_pair($c14,$c13))!=$c14|pair_second(ordered_pair($c14,$c13))!=$c13.
% 5.05/5.19 ** KEPT (pick-wt=8): 569 [] -in(A,B)|in($f118(A,B),B).
% 5.05/5.19 ** KEPT (pick-wt=11): 570 [] -in(A,B)| -in(C,B)| -in(C,$f118(A,B)).
% 5.05/5.19 ** KEPT (pick-wt=8): 571 [] -disjoint(A,B)|set_difference(A,B)=A.
% 5.05/5.19 ** KEPT (pick-wt=8): 572 [] disjoint(A,B)|set_difference(A,B)!=A.
% 5.05/5.19 ** KEPT (pick-wt=11): 573 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 5.05/5.19 ** KEPT (pick-wt=12): 574 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 5.05/5.19 ** KEPT (pick-wt=15): 575 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 5.05/5.19 ** KEPT (pick-wt=7): 576 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 5.05/5.19 ** KEPT (pick-wt=7): 577 [] -empty(A)|A=B| -empty(B).
% 5.05/5.19 Following clause subsumed by 434 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 5.05/5.19 ** KEPT (pick-wt=14): 578 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 5.05/5.19 Following clause subsumed by 166 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 5.05/5.19 ** KEPT (pick-wt=8): 579 [] -relation(A)| -well_orders(A,relation_field(A))|well_ordering(A).
% 5.05/5.19 ** KEPT (pick-wt=8): 580 [] -relation(A)|well_orders(A,relation_field(A))| -well_ordering(A).
% 5.05/5.19 ** KEPT (pick-wt=11): 581 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 5.05/5.19 ** KEPT (pick-wt=9): 582 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 5.05/5.19 ** KEPT (pick-wt=11): 583 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 5.05/5.19 Following clause subsumed by 357 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 5.05/5.19 ** KEPT (pick-wt=10): 584 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 5.05/5.19 ** KEPT (pick-wt=9): 585 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 5.05/5.19 ** KEPT (pick-wt=11): 586 [] -in(A,$f120(B))| -subset(C,A)|in(C,$f120(B)).
% 5.05/5.19 ** KEPT (pick-wt=10): 587 [] -in(A,$f120(B))|in($f119(B,A),$f120(B)).
% 5.05/5.19 ** KEPT (pick-wt=12): 588 [] -in(A,$f120(B))| -subset(C,A)|in(C,$f119(B,A)).
% 5.05/5.19 ** KEPT (pick-wt=12): 589 [] -subset(A,$f120(B))|are_e_quipotent(A,$f120(B))|in(A,$f120(B)).
% 5.05/5.19 ** KEPT (pick-wt=9): 590 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 5.05/5.19 155 back subsumes 152.
% 5.05/5.19 432 back subsumes 124.
% 5.05/5.19 463 back subsumes 235.
% 5.05/5.19 464 back subsumes 236.
% 5.05/5.19 573 back subsumes 363.
% 5.05/5.19 574 back subsumes 362.
% 5.05/5.19 575 back subsumes 364.
% 5.05/5.19 578 back subsumes 167.
% 5.05/5.19 596 back subsumes 595.
% 5.05/5.19 604 back subsumes 603.
% 5.05/5.19
% 5.05/5.19 ------------> process sos:
% 5.05/5.19 ** KEPT (pick-wt=3): 801 [] A=A.
% 5.05/5.19 ** KEPT (pick-wt=7): 802 [] unordered_pair(A,B)=unordered_pair(B,A).
% 5.05/5.19 ** KEPT (pick-wt=7): 803 [] set_union2(A,B)=set_union2(B,A).
% 5.05/5.19 ** KEPT (pick-wt=7): 804 [] set_intersection2(A,B)=set_intersection2(B,A).
% 5.05/5.19 ** KEPT (pick-wt=34): 805 [] 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.
% 5.05/5.19 ** KEPT (pick-wt=7): 806 [] succ(A)=set_union2(A,singleton(A)).
% 5.05/5.19 ---> New Demodulator: 807 [new_demod,806] succ(A)=set_union2(A,singleton(A)).
% 5.05/5.19 ** KEPT (pick-wt=6): 808 [] relation(A)|in($f22(A),A).
% 5.05/5.19 ** KEPT (pick-wt=14): 809 [] A=singleton(B)|in($f27(B,A),A)|$f27(B,A)=B.
% 5.05/5.19 ** KEPT (pick-wt=7): 810 [] A=empty_set|in($f29(A),A).
% 5.05/5.19 ** KEPT (pick-wt=14): 811 [] A=powerset(B)|in($f30(B,A),A)|subset($f30(B,A),B).
% 5.05/5.19 ** KEPT (pick-wt=6): 812 [] epsilon_transitive(A)|in($f33(A),A).
% 5.05/5.19 ** KEPT (pick-wt=23): 813 [] A=unordered_pair(B,C)|in($f36(B,C,A),A)|$f36(B,C,A)=B|$f36(B,C,A)=C.
% 5.05/5.19 ** KEPT (pick-wt=23): 814 [] A=set_union2(B,C)|in($f39(B,C,A),A)|in($f39(B,C,A),B)|in($f39(B,C,A),C).
% 5.05/5.19 ** KEPT (pick-wt=17): 815 [] A=cartesian_product2(B,C)|in($f44(B,C,A),A)|in($f43(B,C,A),B).
% 5.05/5.19 ** KEPT (pick-wt=17): 816 [] A=cartesian_product2(B,C)|in($f44(B,C,A),A)|in($f42(B,C,A),C).
% 5.05/5.19 ** KEPT (pick-wt=25): 818 [copy,817,flip.3] A=cartesian_product2(B,C)|in($f44(B,C,A),A)|ordered_pair($f43(B,C,A),$f42(B,C,A))=$f44(B,C,A).
% 5.05/5.19 ** KEPT (pick-wt=6): 819 [] epsilon_connected(A)|in($f46(A),A).
% 5.05/5.19 ** KEPT (pick-wt=6): 820 [] epsilon_connected(A)|in($f45(A),A).
% 5.05/5.19 ** KEPT (pick-wt=8): 821 [] subset(A,B)|in($f49(A,B),A).
% 5.05/5.19 ** KEPT (pick-wt=17): 822 [] A=set_intersection2(B,C)|in($f52(B,C,A),A)|in($f52(B,C,A),B).
% 5.05/5.19 ** KEPT (pick-wt=17): 823 [] A=set_intersection2(B,C)|in($f52(B,C,A),A)|in($f52(B,C,A),C).
% 5.05/5.19 ** KEPT (pick-wt=4): 824 [] cast_to_subset(A)=A.
% 5.05/5.19 ---> New Demodulator: 825 [new_demod,824] cast_to_subset(A)=A.
% 5.05/5.19 ** KEPT (pick-wt=16): 826 [] A=union(B)|in($f60(B,A),A)|in($f60(B,A),$f59(B,A)).
% 5.05/5.19 ** KEPT (pick-wt=14): 827 [] A=union(B)|in($f60(B,A),A)|in($f59(B,A),B).
% 5.05/5.19 ** KEPT (pick-wt=17): 828 [] A=set_difference(B,C)|in($f61(B,C,A),A)|in($f61(B,C,A),B).
% 5.05/5.19 ** KEPT (pick-wt=10): 830 [copy,829,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 5.05/5.19 ---> New Demodulator: 831 [new_demod,830] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 5.05/5.19 ** KEPT (pick-wt=4): 833 [copy,832,demod,825] element(A,powerset(A)).
% 5.05/5.19 ** KEPT (pick-wt=3): 834 [] relation(identity_relation(A)).
% 5.05/5.19 ** KEPT (pick-wt=6): 835 [] relation_of2($f84(A,B),A,B).
% 5.05/5.19 ** KEPT (pick-wt=4): 836 [] element($f85(A),A).
% 5.05/5.19 ** KEPT (pick-wt=6): 837 [] relation_of2_as_subset($f86(A,B),A,B).
% 5.05/5.19 ** KEPT (pick-wt=2): 838 [] empty(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=2): 839 [] relation(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=2): 840 [] relation_empty_yielding(empty_set).
% 5.05/5.19 Following clause subsumed by 838 during input processing: 0 [] empty(empty_set).
% 5.05/5.19 Following clause subsumed by 834 during input processing: 0 [] relation(identity_relation(A)).
% 5.05/5.19 ** KEPT (pick-wt=3): 841 [] function(identity_relation(A)).
% 5.05/5.19 Following clause subsumed by 839 during input processing: 0 [] relation(empty_set).
% 5.05/5.19 Following clause subsumed by 840 during input processing: 0 [] relation_empty_yielding(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=2): 842 [] function(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=2): 843 [] one_to_one(empty_set).
% 5.05/5.19 Following clause subsumed by 838 during input processing: 0 [] empty(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=2): 844 [] epsilon_transitive(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=2): 845 [] epsilon_connected(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=2): 846 [] ordinal(empty_set).
% 5.05/5.19 Following clause subsumed by 838 during input processing: 0 [] empty(empty_set).
% 5.05/5.19 Following clause subsumed by 839 during input processing: 0 [] relation(empty_set).
% 5.05/5.19 ** KEPT (pick-wt=5): 847 [] set_union2(A,A)=A.
% 5.05/5.19 ---> New Demodulator: 848 [new_demod,847] set_union2(A,A)=A.
% 5.05/5.19 ** KEPT (pick-wt=5): 849 [] set_intersection2(A,A)=A.
% 5.05/5.19 ---> New Demodulator: 850 [new_demod,849] set_intersection2(A,A)=A.
% 5.05/5.19 ** KEPT (pick-wt=7): 851 [] in(A,B)|disjoint(singleton(A),B).
% 5.05/5.19 ** KEPT (pick-wt=9): 852 [] in($f95(A,B),A)|element(A,powerset(B)).
% 5.05/5.19 ** KEPT (pick-wt=2): 853 [] relation($c1).
% 5.05/5.19 ** KEPT (pick-wt=2): 854 [] function($c1).
% 5.05/5.19 ** KEPT (pick-wt=2): 855 [] epsilon_transitive($c2).
% 5.05/5.19 ** KEPT (pick-wt=2): 856 [] epsilon_connected($c2).
% 5.05/5.19 ** KEPT (pick-wt=2): 857 [] ordinal($c2).
% 5.05/5.19 ** KEPT (pick-wt=2): 858 [] empty($c3).
% 5.05/5.19 ** KEPT (pick-wt=2): 859 [] relation($c3).
% 5.05/5.19 ** KEPT (pick-wt=7): 860 [] empty(A)|element($f96(A),powerset(A)).
% 5.05/5.19 ** KEPT (pick-wt=2): 861 [] empty($c4).
% 5.05/5.19 ** KEPT (pick-wt=2): 862 [] relation($c5).
% 5.05/5.19 ** KEPT (pick-wt=2): 863 [] empty($c5).
% 5.05/5.19 ** KEPT (pick-wt=2): 864 [] function($c5).
% 5.05/5.19 ** KEPT (pick-wt=2): 865 [] relation($c6).
% 5.05/5.19 ** KEPT (pick-wt=2): 866 [] function($c6).
% 5.05/5.19 ** KEPT (pick-wt=2): 867 [] one_to_one($c6).
% 5.05/5.19 ** KEPT (pick-wt=2): 868 [] empty($c6).
% 5.05/5.19 ** KEPT (pick-wt=2): 869 [] epsilon_transitive($c6).
% 5.05/5.19 ** KEPT (pick-wt=2): 870 [] epsilon_connected($c6).
% 5.05/5.19 ** KEPT (pick-wt=2): 871 [] ordinal($c6).
% 5.05/5.19 ** KEPT (pick-wt=2): 872 [] relation($c7).
% 5.05/5.19 ** KEPT (pick-wt=5): 873 [] element($f97(A),powerset(A)).
% 5.05/5.19 ** KEPT (pick-wt=3): 874 [] empty($f97(A)).
% 5.05/5.19 ** KEPT (pick-wt=2): 875 [] relation($c9).
% 5.05/5.19 ** KEPT (pick-wt=2): 876 [] function($c9).
% 5.05/5.19 ** KEPT (pick-wt=2): 877 [] one_to_one($c9).
% 5.05/5.19 ** KEPT (pick-wt=2): 878 [] epsilon_transitive($c10).
% 5.05/5.19 ** KEPT (pick-wt=2): 879 [] epsilon_connected($c10).
% 5.05/5.19 ** KEPT (pick-wt=2): 880 [] ordinal($c10).
% 5.05/5.19 ** KEPT (pick-wt=2): 881 [] relation($c11).
% 5.05/5.19 ** KEPT (pick-wt=2): 882 [] relation_empty_yielding($c11).
% 5.05/5.19 ** KEPT (pick-wt=2): 883 [] relation($c12).
% 5.05/5.19 ** KEPT (pick-wt=2): 884 [] relation_empty_yielding($c12).
% 5.05/5.19 ** KEPT (pick-wt=2): 885 [] function($c12).
% 5.05/5.19 ** KEPT (pick-wt=3): 886 [] subset(A,A).
% 5.05/5.19 ** KEPT (pick-wt=6): 888 [copy,887,demod,807] in(A,set_union2(A,singleton(A))).
% 5.05/5.19 ** KEPT (pick-wt=4): 889 [] in(A,$f98(A)).
% 5.05/5.19 ** KEPT (pick-wt=5): 890 [] subset(set_intersection2(A,B),A).
% 5.05/5.19 ** KEPT (pick-wt=5): 891 [] set_union2(A,empty_set)=A.
% 5.05/5.19 ---> New Demodulator: 892 [new_demod,891] set_union2(A,empty_set)=A.
% 5.05/5.19 ** KEPT (pick-wt=5): 894 [copy,893,flip.1] singleton(empty_set)=powerset(empty_set).
% 5.05/5.19 ---> New Demodulator: 895 [new_demod,894] singleton(empty_set)=powerset(empty_set).
% 5.05/5.20 ** KEPT (pick-wt=5): 896 [] set_intersection2(A,empty_set)=empty_set.
% 5.05/5.20 ---> New Demodulator: 897 [new_demod,896] set_intersection2(A,empty_set)=empty_set.
% 5.05/5.20 ** KEPT (pick-wt=13): 898 [] in($f105(A,B),A)|in($f105(A,B),B)|A=B.
% 5.05/5.20 ** KEPT (pick-wt=3): 899 [] subset(empty_set,A).
% 5.05/5.20 ** KEPT (pick-wt=6): 900 [] in($f106(A),A)|ordinal(A).
% 5.05/5.20 ** KEPT (pick-wt=5): 901 [] subset(set_difference(A,B),A).
% 5.05/5.20 ** KEPT (pick-wt=9): 902 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 5.05/5.20 ---> New Demodulator: 903 [new_demod,902] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 5.05/5.20 ** KEPT (pick-wt=5): 904 [] set_difference(A,empty_set)=A.
% 5.05/5.20 ---> New Demodulator: 905 [new_demod,904] set_difference(A,empty_set)=A.
% 5.05/5.20 ** KEPT (pick-wt=8): 906 [] disjoint(A,B)|in($f109(A,B),A).
% 5.05/5.20 ** KEPT (pick-wt=8): 907 [] disjoint(A,B)|in($f109(A,B),B).
% 5.05/5.20 ** KEPT (pick-wt=9): 908 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 5.05/5.20 ---> New Demodulator: 909 [new_demod,908] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 5.05/5.20 ** KEPT (pick-wt=9): 911 [copy,910,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 5.05/5.20 ---> New Demodulator: 912 [new_demod,911] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 5.05/5.20 ** KEPT (pick-wt=5): 913 [] set_difference(empty_set,A)=empty_set.
% 5.05/5.20 ---> New Demodulator: 914 [new_demod,913] set_difference(empty_set,A)=empty_set.
% 5.05/5.20 ** KEPT (pick-wt=12): 916 [copy,915,demod,912] disjoint(A,B)|in($f112(A,B),set_difference(A,set_difference(A,B))).
% 5.05/5.20 ** KEPT (pick-wt=4): 917 [] relation_dom(empty_set)=empty_set.
% 5.05/5.20 ---> New Demodulator: 918 [new_demod,917] relation_dom(empty_set)=empty_set.
% 5.05/5.20 ** KEPT (pick-wt=4): 919 [] relation_rng(empty_set)=empty_set.
% 5.05/5.20 ---> New Demodulator: 920 [new_demod,919] relation_rng(empty_set)=empty_set.
% 5.05/5.20 ** KEPT (pick-wt=9): 921 [] set_difference(A,singleton(B))=A|in(B,A).
% 5.05/5.20 ** KEPT (pick-wt=6): 923 [copy,922,flip.1] singleton(A)=unordered_pair(A,A).
% 5.05/5.20 ---> New Demodulator: 924 [new_demod,923] singleton(A)=unordered_pair(A,A).
% 5.05/5.20 ** KEPT (pick-wt=5): 925 [] relation_dom(identity_relation(A))=A.
% 5.05/5.20 ---> New Demodulator: 926 [new_demod,925] relation_dom(identity_relation(A))=A.
% 5.05/5.20 ** KEPT (pick-wt=5): 927 [] relation_rng(identity_relation(A))=A.
% 5.05/5.20 ---> New Demodulator: 928 [new_demod,927] relation_rng(identity_relation(A))=A.
% 5.05/5.20 ** KEPT (pick-wt=5): 929 [] subset(A,set_union2(A,B)).
% 5.05/5.20 ** KEPT (pick-wt=5): 930 [] union(powerset(A))=A.
% 5.05/5.20 ---> New Demodulator: 931 [new_demod,930] union(powerset(A))=A.
% 5.05/5.20 ** KEPT (pick-wt=4): 932 [] in(A,$f120(A)).
% 5.05/5.20 Following clause subsumed by 801 during input processing: 0 [copy,801,flip.1] A=A.
% 5.05/5.20 801 back subsumes 773.
% 5.05/5.20 801 back subsumes 768.
% 5.05/5.20 801 back subsumes 730.
% 5.05/5.20 801 back subsumes 727.
% 5.05/5.20 801 back subsumes 710.
% 5.05/5.20 801 back subsumes 709.
% 5.05/5.20 801 back subsumes 672.
% 5.05/5.20 801 back subsumes 640.
% 5.05/5.20 801 back subsumes 634.
% 5.05/5.20 801 back subsumes 627.
% 5.05/5.20 801 back subsumes 617.
% 5.05/5.20 801 back subsumes 616.
% 5.05/5.20 801 back subsumes 593.
% 5.05/5.20 Following clause subsumed by 802 during input processing: 0 [copy,802,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 5.05/5.20 Following clause subsumed by 803 during input processing: 0 [copy,803,flip.1] set_union2(A,B)=set_union2(B,A).
% 5.05/5.20 ** KEPT (pick-wt=11): 933 [copy,804,flip.1,demod,912,912] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 5.05/5.20 >>>> Starting back demodulation with 807.
% 5.05/5.20 >> back demodulating 735 with 807.
% 5.05/5.20 >> back demodulating 732 with 807.
% 5.05/5.20 >> back demodulating 500 with 807.
% 5.05/5.20 >> back demodulating 499 with 807.
% 5.05/5.20 >> back demodulating 496 with 807.
% 5.05/5.20 >> back demodulating 493 with 807.
% 5.05/5.20 >> back demodulating 472 with 807.
% 5.05/5.20 >> back demodulating 471 with 807.
% 5.05/5.20 >> back demodulating 306 with 807.
% 5.05/5.20 >> back demodulating 305 with 807.
% 5.05/5.20 >> back demodulating 304 with 807.
% 5.05/5.20 >> back demodulating 296 with 807.
% 5.05/5.20 >>>> Starting back demodulation with 825.
% 5.05/5.20 >> back demodulating 511 with 825.
% 5.05/5.20 >> back demodulating 510 with 825.
% 5.05/5.20 >>>> Starting back demodulation with 831.
% 5.05/5.20 >>>> Starting back demodulation with 848.
% 5.05/5.20 >> back demodulating 774 with 848.
% 5.05/5.20 >> back demodulating 706 with 848.
% 5.05/5.20 >> back demodulating 620 with 848.
% 16.01/16.12 >>>> Starting back demodulation with 850.
% 16.01/16.12 >> back demodulating 778 with 850.
% 16.01/16.12 >> back demodulating 721 with 850.
% 16.01/16.12 >> back demodulating 705 with 850.
% 16.01/16.12 >> back demodulating 633 with 850.
% 16.01/16.12 >> back demodulating 630 with 850.
% 16.01/16.12 886 back subsumes 729.
% 16.01/16.12 886 back subsumes 728.
% 16.01/16.12 886 back subsumes 713.
% 16.01/16.12 886 back subsumes 629.
% 16.01/16.12 886 back subsumes 628.
% 16.01/16.12 >>>> Starting back demodulation with 892.
% 16.01/16.12 >>>> Starting back demodulation with 895.
% 16.01/16.12 >>>> Starting back demodulation with 897.
% 16.01/16.12 >>>> Starting back demodulation with 903.
% 16.01/16.12 >> back demodulating 506 with 903.
% 16.01/16.12 >>>> Starting back demodulation with 905.
% 16.01/16.12 >>>> Starting back demodulation with 909.
% 16.01/16.12 >>>> Starting back demodulation with 912.
% 16.01/16.12 >> back demodulating 896 with 912.
% 16.01/16.12 >> back demodulating 890 with 912.
% 16.01/16.12 >> back demodulating 849 with 912.
% 16.01/16.12 >> back demodulating 823 with 912.
% 16.01/16.12 >> back demodulating 822 with 912.
% 16.01/16.12 >> back demodulating 804 with 912.
% 16.01/16.12 >> back demodulating 770 with 912.
% 16.01/16.12 >> back demodulating 769 with 912.
% 16.01/16.12 >> back demodulating 767 with 912.
% 16.01/16.12 >> back demodulating 632 with 912.
% 16.01/16.12 >> back demodulating 631 with 912.
% 16.01/16.12 >> back demodulating 583 with 912.
% 16.01/16.12 >> back demodulating 559 with 912.
% 16.01/16.12 >> back demodulating 558 with 912.
% 16.01/16.12 >> back demodulating 556 with 912.
% 16.01/16.12 >> back demodulating 514 with 912.
% 16.01/16.12 >> back demodulating 461 with 912.
% 16.01/16.12 >> back demodulating 460 with 912.
% 16.01/16.12 >> back demodulating 431 with 912.
% 16.01/16.12 >> back demodulating 407 with 912.
% 16.01/16.12 >> back demodulating 390 with 912.
% 16.01/16.12 >> back demodulating 297 with 912.
% 16.01/16.12 >> back demodulating 244 with 912.
% 16.01/16.12 >> back demodulating 243 with 912.
% 16.01/16.12 >> back demodulating 227 with 912.
% 16.01/16.12 >> back demodulating 165 with 912.
% 16.01/16.12 >> back demodulating 164 with 912.
% 16.01/16.12 >> back demodulating 163 with 912.
% 16.01/16.12 >> back demodulating 162 with 912.
% 16.01/16.12 >>>> Starting back demodulation with 914.
% 16.01/16.12 >>>> Starting back demodulation with 918.
% 16.01/16.12 >>>> Starting back demodulation with 920.
% 16.01/16.12 >>>> Starting back demodulation with 924.
% 16.01/16.12 >> back demodulating 921 with 924.
% 16.01/16.12 >> back demodulating 894 with 924.
% 16.01/16.12 >> back demodulating 888 with 924.
% 16.01/16.12 >> back demodulating 851 with 924.
% 16.01/16.12 >> back demodulating 830 with 924.
% 16.01/16.12 >> back demodulating 809 with 924.
% 16.01/16.12 >> back demodulating 806 with 924.
% 16.01/16.12 >> back demodulating 590 with 924.
% 16.01/16.12 >> back demodulating 582 with 924.
% 16.01/16.12 >> back demodulating 561 with 924.
% 16.01/16.12 >> back demodulating 555 with 924.
% 16.01/16.12 >> back demodulating 356 with 924.
% 16.01/16.12 >> back demodulating 355 with 924.
% 16.01/16.12 >> back demodulating 348 with 924.
% 16.01/16.12 >> back demodulating 340 with 924.
% 16.01/16.12 >> back demodulating 339 with 924.
% 16.01/16.12 >> back demodulating 333 with 924.
% 16.01/16.12 >> back demodulating 332 with 924.
% 16.01/16.12 >> back demodulating 331 with 924.
% 16.01/16.12 >> back demodulating 301 with 924.
% 16.01/16.12 >> back demodulating 100 with 924.
% 16.01/16.12 >> back demodulating 99 with 924.
% 16.01/16.12 >> back demodulating 98 with 924.
% 16.01/16.12 >>>> Starting back demodulation with 926.
% 16.01/16.12 >>>> Starting back demodulation with 928.
% 16.01/16.12 >>>> Starting back demodulation with 931.
% 16.01/16.12 Following clause subsumed by 933 during input processing: 0 [copy,933,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 16.01/16.12 958 back subsumes 119.
% 16.01/16.12 960 back subsumes 120.
% 16.01/16.12 >>>> Starting back demodulation with 962.
% 16.01/16.12 >> back demodulating 712 with 962.
% 16.01/16.12 >> back demodulating 707 with 962.
% 16.01/16.12 >>>> Starting back demodulation with 988.
% 16.01/16.12 >>>> Starting back demodulation with 992.
% 16.01/16.12 >>>> Starting back demodulation with 995.
% 16.01/16.12
% 16.01/16.12 ======= end of input processing =======
% 16.01/16.12
% 16.01/16.12 =========== start of search ===========
% 16.01/16.12
% 16.01/16.12
% 16.01/16.12 Resetting weight limit to 2.
% 16.01/16.12
% 16.01/16.12
% 16.01/16.12 Resetting weight limit to 2.
% 16.01/16.12
% 16.01/16.12 sos_size=163
% 16.01/16.12
% 16.01/16.12 Search stopped in tp_alloc by max_mem option.
% 16.01/16.12
% 16.01/16.12 Search stopped in tp_alloc by max_mem option.
% 16.01/16.12
% 16.01/16.12 ============ end of search ============
% 16.01/16.12
% 16.01/16.12 -------------- statistics -------------
% 16.01/16.12 clauses given 111
% 16.01/16.12 clauses generated 403995
% 16.01/16.12 clauses kept 959
% 16.01/16.12 clauses forward subsumed 354
% 16.01/16.12 clauses back subsumed 30
% 16.01/16.12 Kbytes malloced 11718
% 16.01/16.12
% 16.01/16.12 ----------- times (seconds) -----------
% 16.01/16.12 user CPU time 11.11 (0 hr, 0 min, 11 sec)
% 16.01/16.12 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 16.01/16.12 wall-clock time 16 (0 hr, 0 min, 16 sec)
% 16.01/16.12
% 16.01/16.12 Process 16712 finished Wed Jul 27 08:05:25 2022
% 16.01/16.12 Otter interrupted
% 16.01/16.12 PROOF NOT FOUND
%------------------------------------------------------------------------------