TSTP Solution File: SEU250+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU250+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:15:20 EDT 2022
% Result : Unknown 37.91s 38.04s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU250+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 07:48:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.02/4.16 ----- Otter 3.3f, August 2004 -----
% 4.02/4.16 The process was started by sandbox on n007.cluster.edu,
% 4.02/4.16 Wed Jul 27 07:48:46 2022
% 4.02/4.16 The command was "./otter". The process ID is 12311.
% 4.02/4.16
% 4.02/4.16 set(prolog_style_variables).
% 4.02/4.16 set(auto).
% 4.02/4.16 dependent: set(auto1).
% 4.02/4.16 dependent: set(process_input).
% 4.02/4.16 dependent: clear(print_kept).
% 4.02/4.16 dependent: clear(print_new_demod).
% 4.02/4.16 dependent: clear(print_back_demod).
% 4.02/4.16 dependent: clear(print_back_sub).
% 4.02/4.16 dependent: set(control_memory).
% 4.02/4.16 dependent: assign(max_mem, 12000).
% 4.02/4.16 dependent: assign(pick_given_ratio, 4).
% 4.02/4.16 dependent: assign(stats_level, 1).
% 4.02/4.16 dependent: assign(max_seconds, 10800).
% 4.02/4.16 clear(print_given).
% 4.02/4.16
% 4.02/4.16 formula_list(usable).
% 4.02/4.16 all A (A=A).
% 4.02/4.16 all A B (in(A,B)-> -in(B,A)).
% 4.02/4.16 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 4.02/4.16 all A (empty(A)->function(A)).
% 4.02/4.16 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 4.02/4.16 all A (empty(A)->relation(A)).
% 4.02/4.16 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 4.02/4.16 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 4.02/4.16 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.02/4.16 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 4.02/4.16 all A B (set_union2(A,B)=set_union2(B,A)).
% 4.02/4.16 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 4.02/4.16 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,B)|ordinal_subset(B,A)).
% 4.02/4.16 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 4.02/4.16 all A B (A=B<->subset(A,B)&subset(B,A)).
% 4.02/4.16 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))))))).
% 4.02/4.16 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)))))))).
% 4.02/4.16 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))))))).
% 4.02/4.16 all A (relation(A)-> (antisymmetric(A)<->is_antisymmetric_in(A,relation_field(A)))).
% 4.02/4.16 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)))))).
% 4.02/4.16 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)))))))).
% 4.02/4.16 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)))))))).
% 4.02/4.16 all A (relation(A)-> (connected(A)<->is_connected_in(A,relation_field(A)))).
% 4.02/4.16 all A (relation(A)-> (transitive(A)<->is_transitive_in(A,relation_field(A)))).
% 4.02/4.16 all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 4.02/4.16 all A (succ(A)=set_union2(A,singleton(A))).
% 4.02/4.16 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 4.02/4.16 all A (relation(A)-> (all B (is_reflexive_in(A,B)<-> (all C (in(C,B)->in(ordered_pair(C,C),A)))))).
% 4.02/4.16 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))).
% 4.02/4.16 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 4.02/4.16 all A (A=empty_set<-> (all B (-in(B,A)))).
% 4.02/4.16 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 4.02/4.16 all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 4.02/4.16 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))))))).
% 4.02/4.16 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 4.02/4.16 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 4.02/4.16 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))))))))).
% 4.02/4.16 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 4.02/4.16 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)))))).
% 4.02/4.16 all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 4.02/4.16 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))))))).
% 4.02/4.16 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 4.02/4.16 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)))))))))).
% 4.02/4.16 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 4.02/4.16 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))))).
% 4.02/4.16 all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 4.02/4.16 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 4.02/4.16 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))))).
% 4.02/4.16 all A (cast_to_subset(A)=A).
% 4.02/4.16 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 4.02/4.16 all A (relation(A)-> (well_ordering(A)<->reflexive(A)&transitive(A)&antisymmetric(A)&connected(A)&well_founded_relation(A))).
% 4.02/4.16 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 4.02/4.16 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)))))))).
% 4.02/4.16 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 4.02/4.16 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 4.02/4.16 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 4.02/4.16 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)))).
% 4.02/4.16 all A (being_limit_ordinal(A)<->A=union(A)).
% 4.02/4.16 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 4.02/4.16 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))))))).
% 4.02/4.16 all A (relation(A)-> (all B (relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B))))).
% 4.02/4.16 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))))))).
% 4.02/4.16 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 4.02/4.16 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)))).
% 4.02/4.16 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))))))))))).
% 4.02/4.16 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)))))).
% 4.02/4.16 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)))))))).
% 4.02/4.16 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 4.02/4.16 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 4.02/4.16 all A (relation(A)-> (reflexive(A)<->is_reflexive_in(A,relation_field(A)))).
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 4.02/4.16 $T.
% 4.02/4.16 all A element(cast_to_subset(A),powerset(A)).
% 4.02/4.16 $T.
% 4.02/4.16 all A B (relation(A)->relation(relation_restriction(A,B))).
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 all A (relation(A)->relation(relation_inverse(A))).
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 4.02/4.16 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 4.02/4.16 all A relation(identity_relation(A)).
% 4.02/4.16 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 4.02/4.16 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 4.02/4.16 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 4.02/4.16 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 4.02/4.16 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 4.02/4.16 $T.
% 4.02/4.16 $T.
% 4.02/4.16 all A exists B element(B,A).
% 4.02/4.16 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 4.02/4.16 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 4.02/4.16 empty(empty_set).
% 4.02/4.16 relation(empty_set).
% 4.02/4.16 relation_empty_yielding(empty_set).
% 4.02/4.16 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 4.02/4.16 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 4.02/4.16 all A (-empty(succ(A))).
% 4.02/4.16 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 4.02/4.16 all A (-empty(powerset(A))).
% 4.02/4.16 empty(empty_set).
% 4.02/4.16 all A B (-empty(ordered_pair(A,B))).
% 4.02/4.16 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 4.02/4.16 relation(empty_set).
% 4.02/4.16 relation_empty_yielding(empty_set).
% 4.02/4.16 function(empty_set).
% 4.02/4.16 one_to_one(empty_set).
% 4.02/4.16 empty(empty_set).
% 4.02/4.16 epsilon_transitive(empty_set).
% 4.02/4.16 epsilon_connected(empty_set).
% 4.02/4.16 ordinal(empty_set).
% 4.02/4.16 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 4.02/4.16 all A (-empty(singleton(A))).
% 4.02/4.16 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 4.02/4.16 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 4.02/4.16 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 4.02/4.16 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 4.02/4.16 all A B (-empty(unordered_pair(A,B))).
% 4.02/4.16 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 4.02/4.16 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 4.02/4.16 all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 4.02/4.16 empty(empty_set).
% 4.02/4.16 relation(empty_set).
% 4.02/4.16 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 4.02/4.16 all A B (relation(B)&function(B)->relation(relation_rng_restriction(A,B))&function(relation_rng_restriction(A,B))).
% 4.02/4.16 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 4.02/4.16 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 4.02/4.16 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 4.02/4.16 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 4.02/4.16 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 4.02/4.16 all A B (set_union2(A,A)=A).
% 4.02/4.16 all A B (set_intersection2(A,A)=A).
% 4.02/4.16 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 4.02/4.16 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 4.02/4.16 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 4.02/4.16 all A B (-proper_subset(A,A)).
% 4.02/4.16 all A (relation(A)-> (reflexive(A)<-> (all B (in(B,relation_field(A))->in(ordered_pair(B,B),A))))).
% 4.02/4.16 all A (singleton(A)!=empty_set).
% 4.02/4.16 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 4.02/4.16 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 4.02/4.16 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 4.02/4.16 all A B (relation(B)->subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))).
% 4.02/4.16 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))))).
% 4.02/4.16 all A B (subset(singleton(A),B)<->in(A,B)).
% 4.02/4.16 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 4.02/4.16 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 4.02/4.16 all A (relation(A)-> (antisymmetric(A)<-> (all B C (in(ordered_pair(B,C),A)&in(ordered_pair(C,B),A)->B=C)))).
% 4.02/4.16 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 4.02/4.16 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)))))).
% 4.02/4.16 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 4.02/4.16 all A B (in(A,B)->subset(A,union(B))).
% 4.02/4.16 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 4.02/4.16 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 4.02/4.16 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))).
% 4.02/4.16 exists A (relation(A)&function(A)).
% 4.02/4.16 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.02/4.16 exists A (empty(A)&relation(A)).
% 4.02/4.16 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 4.02/4.16 exists A empty(A).
% 4.02/4.16 exists A (relation(A)&empty(A)&function(A)).
% 4.02/4.16 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.02/4.16 exists A (-empty(A)&relation(A)).
% 4.02/4.16 all A exists B (element(B,powerset(A))&empty(B)).
% 4.02/4.16 exists A (-empty(A)).
% 4.02/4.16 exists A (relation(A)&function(A)&one_to_one(A)).
% 4.02/4.16 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.02/4.16 exists A (relation(A)&relation_empty_yielding(A)).
% 4.02/4.16 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 4.02/4.16 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 4.02/4.16 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 4.02/4.16 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 4.02/4.16 all A B (ordinal(A)&ordinal(B)-> (ordinal_subset(A,B)<->subset(A,B))).
% 4.02/4.16 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,A)).
% 4.02/4.16 all A B subset(A,A).
% 4.02/4.16 all A B (disjoint(A,B)->disjoint(B,A)).
% 4.02/4.16 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 4.02/4.16 all A in(A,succ(A)).
% 4.02/4.16 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 4.02/4.16 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 4.02/4.16 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 4.02/4.16 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 4.02/4.16 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 4.02/4.16 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))).
% 4.02/4.16 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 4.02/4.16 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 4.02/4.16 all A B (subset(A,B)->set_union2(A,B)=B).
% 4.02/4.16 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))))).
% 4.02/4.16 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 4.02/4.16 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))))).
% 4.02/4.16 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 4.02/4.16 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 4.02/4.16 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 4.02/4.16 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 4.02/4.16 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 4.02/4.16 all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 4.02/4.16 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 4.02/4.16 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))))).
% 4.02/4.16 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 4.02/4.16 all A B C (relation(C)-> (in(A,relation_restriction(C,B))<->in(A,C)&in(A,cartesian_product2(B,B)))).
% 4.02/4.16 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 4.02/4.16 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 4.02/4.16 all A B (relation(B)->relation_restriction(B,A)=relation_dom_restriction(relation_rng_restriction(A,B),A)).
% 4.02/4.16 all A B subset(set_intersection2(A,B),A).
% 4.02/4.16 all A B (relation(B)->relation_restriction(B,A)=relation_rng_restriction(A,relation_dom_restriction(B,A))).
% 4.02/4.16 all A B C (relation(C)-> (in(A,relation_field(relation_restriction(C,B)))->in(A,relation_field(C))&in(A,B))).
% 4.02/4.16 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 4.02/4.16 all A (set_union2(A,empty_set)=A).
% 4.02/4.16 all A B (in(A,B)->element(A,B)).
% 4.02/4.16 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 4.02/4.16 powerset(empty_set)=singleton(empty_set).
% 4.02/4.16 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 4.02/4.16 -(all A B (relation(B)->subset(relation_field(relation_restriction(B,A)),relation_field(B))&subset(relation_field(relation_restriction(B,A)),A))).
% 4.02/4.16 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)))))).
% 4.02/4.16 all A (epsilon_transitive(A)-> (all B (ordinal(B)-> (proper_subset(A,B)->in(A,B))))).
% 4.02/4.16 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 4.02/4.16 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)))))).
% 4.02/4.16 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)))))).
% 4.02/4.16 all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 4.02/4.16 all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 4.02/4.16 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)))))).
% 4.02/4.16 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 4.02/4.16 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 4.02/4.16 all A (set_intersection2(A,empty_set)=empty_set).
% 4.02/4.16 all A B (element(A,B)->empty(B)|in(A,B)).
% 4.02/4.16 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 4.02/4.16 all A subset(empty_set,A).
% 4.02/4.16 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 4.02/4.16 all A ((all B (in(B,A)->ordinal(B)&subset(B,A)))->ordinal(A)).
% 4.02/4.16 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))))))))).
% 4.02/4.16 all A (ordinal(A)-> (all B (ordinal(B)-> (in(A,B)<->ordinal_subset(succ(A),B))))).
% 4.02/4.16 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 4.02/4.16 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 4.02/4.16 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 4.02/4.16 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 4.02/4.16 all A B subset(set_difference(A,B),A).
% 4.02/4.16 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 4.02/4.16 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 4.02/4.16 all A B (subset(singleton(A),B)<->in(A,B)).
% 4.02/4.16 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 4.02/4.16 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 4.02/4.16 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 4.02/4.16 all A (set_difference(A,empty_set)=A).
% 4.02/4.16 all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 4.02/4.16 all A B (element(A,powerset(B))<->subset(A,B)).
% 4.02/4.16 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))).
% 4.02/4.16 all A (subset(A,empty_set)->A=empty_set).
% 4.02/4.16 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 4.02/4.16 all A (ordinal(A)-> (being_limit_ordinal(A)<-> (all B (ordinal(B)-> (in(B,A)->in(succ(B),A)))))).
% 4.02/4.16 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))).
% 4.02/4.16 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 4.02/4.16 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 4.02/4.16 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 4.02/4.16 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 4.02/4.16 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 4.02/4.16 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 4.02/4.16 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 4.02/4.16 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 4.08/4.17 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)))).
% 4.08/4.17 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)))).
% 4.08/4.17 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 4.08/4.17 all A (set_difference(empty_set,A)=empty_set).
% 4.08/4.17 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 4.08/4.17 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))).
% 4.08/4.17 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)))))))).
% 4.08/4.17 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))))))))).
% 4.08/4.17 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 4.08/4.17 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)))).
% 4.08/4.17 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 4.08/4.17 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))).
% 4.08/4.17 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 4.08/4.17 all A (relation(A)-> (well_founded_relation(A)<->is_well_founded_in(A,relation_field(A)))).
% 4.08/4.17 relation_dom(empty_set)=empty_set.
% 4.08/4.17 relation_rng(empty_set)=empty_set.
% 4.08/4.17 all A B (-(subset(A,B)&proper_subset(B,A))).
% 4.08/4.17 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 4.08/4.17 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 4.08/4.17 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 4.08/4.17 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 4.08/4.17 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 4.08/4.17 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))))))).
% 4.08/4.17 all A (unordered_pair(A,A)=singleton(A)).
% 4.08/4.17 all A (empty(A)->A=empty_set).
% 4.08/4.17 all A B (subset(singleton(A),singleton(B))->A=B).
% 4.08/4.17 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))).
% 4.08/4.17 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 4.08/4.17 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 4.08/4.17 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))).
% 4.08/4.17 all A B (-(in(A,B)&empty(B))).
% 4.08/4.17 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 4.08/4.17 all A B subset(A,set_union2(A,B)).
% 4.08/4.17 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 4.08/4.17 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 4.08/4.17 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 4.08/4.17 all A B (-(empty(A)&A!=B&empty(B))).
% 4.08/4.17 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 4.08/4.17 all A (relation(A)-> (well_orders(A,relation_field(A))<->well_ordering(A))).
% 4.08/4.17 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 4.08/4.17 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 4.08/4.17 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 4.08/4.17 all A B (in(A,B)->subset(A,union(B))).
% 4.08/4.17 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 4.08/4.17 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 4.08/4.17 all A (union(powerset(A))=A).
% 4.08/4.17 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))))).
% 4.08/4.17 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 4.08/4.17 end_of_list.
% 4.08/4.17
% 4.08/4.17 -------> usable clausifies to:
% 4.08/4.17
% 4.08/4.17 list(usable).
% 4.08/4.17 0 [] A=A.
% 4.08/4.17 0 [] -in(A,B)| -in(B,A).
% 4.08/4.17 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 4.08/4.17 0 [] -empty(A)|function(A).
% 4.08/4.17 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.08/4.17 0 [] -ordinal(A)|epsilon_connected(A).
% 4.08/4.17 0 [] -empty(A)|relation(A).
% 4.08/4.17 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 4.08/4.17 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 4.08/4.17 0 [] -empty(A)|epsilon_transitive(A).
% 4.08/4.17 0 [] -empty(A)|epsilon_connected(A).
% 4.08/4.17 0 [] -empty(A)|ordinal(A).
% 4.08/4.17 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 4.08/4.17 0 [] set_union2(A,B)=set_union2(B,A).
% 4.08/4.17 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 4.08/4.17 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 4.08/4.17 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 4.08/4.17 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 4.08/4.17 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 4.08/4.17 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 4.08/4.17 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 4.08/4.17 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)!=$f1(A,B).
% 4.08/4.17 0 [] A!=B|subset(A,B).
% 4.08/4.17 0 [] A!=B|subset(B,A).
% 4.08/4.17 0 [] A=B| -subset(A,B)| -subset(B,A).
% 4.08/4.17 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 4.08/4.17 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 4.08/4.17 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 4.08/4.17 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 4.08/4.17 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).
% 4.08/4.17 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),$f3(A,B,C)),A).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 4.08/4.17 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).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 4.08/4.17 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 4.08/4.17 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 4.08/4.17 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 4.08/4.17 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 4.08/4.17 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).
% 4.08/4.17 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),$f8(A,B,C)),B).
% 4.08/4.17 0 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 4.08/4.17 0 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 4.08/4.17 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 4.08/4.17 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 4.08/4.17 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 4.08/4.17 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 4.08/4.17 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 4.08/4.17 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 4.08/4.17 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 4.08/4.17 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 4.08/4.17 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 4.08/4.17 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 4.08/4.17 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 4.08/4.17 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 4.08/4.17 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).
% 4.08/4.17 0 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 4.08/4.17 0 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 4.08/4.17 0 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 4.08/4.17 0 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 4.08/4.17 0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 4.08/4.17 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 4.08/4.17 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 4.08/4.17 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 4.08/4.17 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.
% 4.08/4.17 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 4.08/4.17 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 4.08/4.17 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 4.08/4.17 0 [] succ(A)=set_union2(A,singleton(A)).
% 4.08/4.17 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f19(A,B),$f18(A,B)).
% 4.08/4.17 0 [] relation(A)|in($f20(A),A).
% 4.08/4.17 0 [] relation(A)|$f20(A)!=ordered_pair(C,D).
% 4.08/4.17 0 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 4.08/4.17 0 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 4.08/4.17 0 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 4.08/4.17 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 4.08/4.17 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 4.08/4.17 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 4.08/4.17 0 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(X4,A)|in($f24(A,B),X4).
% 4.08/4.17 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 4.08/4.17 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 4.08/4.17 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 4.08/4.17 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 4.08/4.17 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 4.08/4.17 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 4.08/4.17 0 [] B=singleton(A)|in($f25(A,B),B)|$f25(A,B)=A.
% 4.08/4.17 0 [] B=singleton(A)| -in($f25(A,B),B)|$f25(A,B)!=A.
% 4.08/4.17 0 [] A!=empty_set| -in(B,A).
% 4.08/4.17 0 [] A=empty_set|in($f26(A),A).
% 4.08/4.17 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 4.08/4.17 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 4.08/4.17 0 [] B=powerset(A)|in($f27(A,B),B)|subset($f27(A,B),A).
% 4.08/4.17 0 [] B=powerset(A)| -in($f27(A,B),B)| -subset($f27(A,B),A).
% 4.08/4.17 0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 4.08/4.17 0 [] epsilon_transitive(A)|in($f28(A),A).
% 4.08/4.17 0 [] epsilon_transitive(A)| -subset($f28(A),A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.08/4.18 0 [] empty(A)| -element(B,A)|in(B,A).
% 4.08/4.18 0 [] empty(A)|element(B,A)| -in(B,A).
% 4.08/4.18 0 [] -empty(A)| -element(B,A)|empty(B).
% 4.08/4.18 0 [] -empty(A)|element(B,A)| -empty(B).
% 4.08/4.18 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 4.08/4.18 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 4.08/4.18 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 4.08/4.18 0 [] C=unordered_pair(A,B)|in($f31(A,B,C),C)|$f31(A,B,C)=A|$f31(A,B,C)=B.
% 4.08/4.18 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=A.
% 4.08/4.18 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=B.
% 4.08/4.18 0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f32(A,B),B).
% 4.08/4.18 0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f32(A,B)),B).
% 4.08/4.18 0 [] -relation(A)|well_founded_relation(A)|subset($f33(A),relation_field(A)).
% 4.08/4.18 0 [] -relation(A)|well_founded_relation(A)|$f33(A)!=empty_set.
% 4.08/4.18 0 [] -relation(A)|well_founded_relation(A)| -in(C,$f33(A))| -disjoint(fiber(A,C),$f33(A)).
% 4.08/4.18 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 4.08/4.18 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 4.08/4.18 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 4.08/4.18 0 [] C=set_union2(A,B)|in($f34(A,B,C),C)|in($f34(A,B,C),A)|in($f34(A,B,C),B).
% 4.08/4.18 0 [] C=set_union2(A,B)| -in($f34(A,B,C),C)| -in($f34(A,B,C),A).
% 4.08/4.18 0 [] C=set_union2(A,B)| -in($f34(A,B,C),C)| -in($f34(A,B,C),B).
% 4.08/4.18 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f36(A,B,C,D),A).
% 4.08/4.18 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f35(A,B,C,D),B).
% 4.08/4.18 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f36(A,B,C,D),$f35(A,B,C,D)).
% 4.08/4.18 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 4.08/4.18 0 [] C=cartesian_product2(A,B)|in($f39(A,B,C),C)|in($f38(A,B,C),A).
% 4.08/4.18 0 [] C=cartesian_product2(A,B)|in($f39(A,B,C),C)|in($f37(A,B,C),B).
% 4.08/4.18 0 [] C=cartesian_product2(A,B)|in($f39(A,B,C),C)|$f39(A,B,C)=ordered_pair($f38(A,B,C),$f37(A,B,C)).
% 4.08/4.18 0 [] C=cartesian_product2(A,B)| -in($f39(A,B,C),C)| -in(X5,A)| -in(X6,B)|$f39(A,B,C)!=ordered_pair(X5,X6).
% 4.08/4.18 0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 4.08/4.18 0 [] epsilon_connected(A)|in($f41(A),A).
% 4.08/4.18 0 [] epsilon_connected(A)|in($f40(A),A).
% 4.08/4.18 0 [] epsilon_connected(A)| -in($f41(A),$f40(A)).
% 4.08/4.18 0 [] epsilon_connected(A)|$f41(A)!=$f40(A).
% 4.08/4.18 0 [] epsilon_connected(A)| -in($f40(A),$f41(A)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f43(A,B),$f42(A,B)),A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f43(A,B),$f42(A,B)),B).
% 4.08/4.18 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 4.08/4.18 0 [] subset(A,B)|in($f44(A,B),A).
% 4.08/4.18 0 [] subset(A,B)| -in($f44(A,B),B).
% 4.08/4.18 0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f45(A,B,C),C).
% 4.08/4.18 0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f45(A,B,C)),C).
% 4.08/4.18 0 [] -relation(A)|is_well_founded_in(A,B)|subset($f46(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_well_founded_in(A,B)|$f46(A,B)!=empty_set.
% 4.08/4.18 0 [] -relation(A)|is_well_founded_in(A,B)| -in(D,$f46(A,B))| -disjoint(fiber(A,D),$f46(A,B)).
% 4.08/4.18 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 4.08/4.18 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 4.08/4.18 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 4.08/4.18 0 [] C=set_intersection2(A,B)|in($f47(A,B,C),C)|in($f47(A,B,C),A).
% 4.08/4.18 0 [] C=set_intersection2(A,B)|in($f47(A,B,C),C)|in($f47(A,B,C),B).
% 4.08/4.18 0 [] C=set_intersection2(A,B)| -in($f47(A,B,C),C)| -in($f47(A,B,C),A)| -in($f47(A,B,C),B).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 4.08/4.18 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 4.08/4.18 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 4.08/4.18 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.08/4.18 0 [] -ordinal(A)|epsilon_connected(A).
% 4.08/4.18 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 4.08/4.18 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f48(A,B,C)),A).
% 4.08/4.18 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 4.08/4.18 0 [] -relation(A)|B=relation_dom(A)|in($f50(A,B),B)|in(ordered_pair($f50(A,B),$f49(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|B=relation_dom(A)| -in($f50(A,B),B)| -in(ordered_pair($f50(A,B),X7),A).
% 4.08/4.18 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.
% 4.08/4.18 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f52(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f51(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f52(A,B),$f51(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f51(A,B),$f52(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|is_antisymmetric_in(A,B)|$f52(A,B)!=$f51(A,B).
% 4.08/4.18 0 [] cast_to_subset(A)=A.
% 4.08/4.18 0 [] B!=union(A)| -in(C,B)|in(C,$f53(A,B,C)).
% 4.08/4.18 0 [] B!=union(A)| -in(C,B)|in($f53(A,B,C),A).
% 4.08/4.18 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 4.08/4.18 0 [] B=union(A)|in($f55(A,B),B)|in($f55(A,B),$f54(A,B)).
% 4.08/4.18 0 [] B=union(A)|in($f55(A,B),B)|in($f54(A,B),A).
% 4.08/4.18 0 [] B=union(A)| -in($f55(A,B),B)| -in($f55(A,B),X8)| -in(X8,A).
% 4.08/4.18 0 [] -relation(A)| -well_ordering(A)|reflexive(A).
% 4.08/4.18 0 [] -relation(A)| -well_ordering(A)|transitive(A).
% 4.08/4.18 0 [] -relation(A)| -well_ordering(A)|antisymmetric(A).
% 4.08/4.18 0 [] -relation(A)| -well_ordering(A)|connected(A).
% 4.08/4.18 0 [] -relation(A)| -well_ordering(A)|well_founded_relation(A).
% 4.08/4.18 0 [] -relation(A)|well_ordering(A)| -reflexive(A)| -transitive(A)| -antisymmetric(A)| -connected(A)| -well_founded_relation(A).
% 4.08/4.18 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 4.08/4.18 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 4.08/4.18 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 4.08/4.18 0 [] C=set_difference(A,B)|in($f56(A,B,C),C)|in($f56(A,B,C),A).
% 4.08/4.18 0 [] C=set_difference(A,B)|in($f56(A,B,C),C)| -in($f56(A,B,C),B).
% 4.08/4.18 0 [] C=set_difference(A,B)| -in($f56(A,B,C),C)| -in($f56(A,B,C),A)|in($f56(A,B,C),B).
% 4.08/4.18 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f57(A,B,C),relation_dom(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f57(A,B,C)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 4.08/4.18 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f59(A,B),B)|in($f58(A,B),relation_dom(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f59(A,B),B)|$f59(A,B)=apply(A,$f58(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f59(A,B),B)| -in(X9,relation_dom(A))|$f59(A,B)!=apply(A,X9).
% 4.08/4.18 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f60(A,B,C),C),A).
% 4.08/4.18 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 4.08/4.18 0 [] -relation(A)|B=relation_rng(A)|in($f62(A,B),B)|in(ordered_pair($f61(A,B),$f62(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|B=relation_rng(A)| -in($f62(A,B),B)| -in(ordered_pair(X10,$f62(A,B)),A).
% 4.08/4.18 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 4.08/4.18 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 4.08/4.18 0 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 4.08/4.18 0 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 4.08/4.18 0 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 4.08/4.18 0 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 4.08/4.18 0 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 4.08/4.18 0 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 4.08/4.18 0 [] -being_limit_ordinal(A)|A=union(A).
% 4.08/4.18 0 [] being_limit_ordinal(A)|A!=union(A).
% 4.08/4.18 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 4.08/4.18 0 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 4.08/4.18 0 [] -relation(A)|is_connected_in(A,B)|in($f64(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_connected_in(A,B)|in($f63(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_connected_in(A,B)|$f64(A,B)!=$f63(A,B).
% 4.08/4.18 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f64(A,B),$f63(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f63(A,B),$f64(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f66(A,B),$f65(A,B)),B)|in(ordered_pair($f65(A,B),$f66(A,B)),A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f66(A,B),$f65(A,B)),B)| -in(ordered_pair($f65(A,B),$f66(A,B)),A).
% 4.08/4.18 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 4.08/4.18 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 4.08/4.18 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f68(A),relation_dom(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f67(A),relation_dom(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f68(A))=apply(A,$f67(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|one_to_one(A)|$f68(A)!=$f67(A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f69(A,B,C,D,E)),A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f69(A,B,C,D,E),E),B).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f72(A,B,C),$f71(A,B,C)),C)|in(ordered_pair($f72(A,B,C),$f70(A,B,C)),A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f72(A,B,C),$f71(A,B,C)),C)|in(ordered_pair($f70(A,B,C),$f71(A,B,C)),B).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f72(A,B,C),$f71(A,B,C)),C)| -in(ordered_pair($f72(A,B,C),X11),A)| -in(ordered_pair(X11,$f71(A,B,C)),B).
% 4.08/4.18 0 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 4.08/4.18 0 [] -relation(A)|is_transitive_in(A,B)|in($f75(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_transitive_in(A,B)|in($f74(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_transitive_in(A,B)|in($f73(A,B),B).
% 4.08/4.18 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f75(A,B),$f74(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f74(A,B),$f73(A,B)),A).
% 4.08/4.18 0 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f75(A,B),$f73(A,B)),A).
% 4.08/4.18 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).
% 4.08/4.18 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).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f76(A,B,C),powerset(A)).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f76(A,B,C),C)|in(subset_complement(A,$f76(A,B,C)),B).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f76(A,B,C),C)| -in(subset_complement(A,$f76(A,B,C)),B).
% 4.08/4.18 0 [] -proper_subset(A,B)|subset(A,B).
% 4.08/4.18 0 [] -proper_subset(A,B)|A!=B.
% 4.08/4.18 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 4.08/4.18 0 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 4.08/4.18 0 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] element(cast_to_subset(A),powerset(A)).
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] -relation(A)|relation(relation_restriction(A,B)).
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] -relation(A)|relation(relation_inverse(A)).
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 4.08/4.18 0 [] relation(identity_relation(A)).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 4.08/4.18 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 4.08/4.18 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 4.08/4.18 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] $T.
% 4.08/4.18 0 [] element($f77(A),A).
% 4.08/4.18 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 4.08/4.18 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 4.08/4.18 0 [] -empty(A)|empty(relation_inverse(A)).
% 4.08/4.18 0 [] -empty(A)|relation(relation_inverse(A)).
% 4.08/4.18 0 [] empty(empty_set).
% 4.08/4.18 0 [] relation(empty_set).
% 4.08/4.18 0 [] relation_empty_yielding(empty_set).
% 4.08/4.18 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 4.08/4.18 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 4.08/4.18 0 [] -empty(succ(A)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 4.08/4.18 0 [] -empty(powerset(A)).
% 4.08/4.18 0 [] empty(empty_set).
% 4.08/4.18 0 [] -empty(ordered_pair(A,B)).
% 4.08/4.18 0 [] relation(identity_relation(A)).
% 4.08/4.18 0 [] function(identity_relation(A)).
% 4.08/4.18 0 [] relation(empty_set).
% 4.08/4.18 0 [] relation_empty_yielding(empty_set).
% 4.08/4.18 0 [] function(empty_set).
% 4.08/4.18 0 [] one_to_one(empty_set).
% 4.08/4.18 0 [] empty(empty_set).
% 4.08/4.18 0 [] epsilon_transitive(empty_set).
% 4.08/4.18 0 [] epsilon_connected(empty_set).
% 4.08/4.18 0 [] ordinal(empty_set).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 4.08/4.18 0 [] -empty(singleton(A)).
% 4.08/4.18 0 [] empty(A)| -empty(set_union2(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 4.08/4.18 0 [] -ordinal(A)| -empty(succ(A)).
% 4.08/4.18 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 4.08/4.18 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 4.08/4.18 0 [] -ordinal(A)|ordinal(succ(A)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 4.08/4.18 0 [] -empty(unordered_pair(A,B)).
% 4.08/4.18 0 [] empty(A)| -empty(set_union2(B,A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 4.08/4.18 0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 4.08/4.18 0 [] -ordinal(A)|epsilon_connected(union(A)).
% 4.08/4.18 0 [] -ordinal(A)|ordinal(union(A)).
% 4.08/4.18 0 [] empty(empty_set).
% 4.08/4.18 0 [] relation(empty_set).
% 4.08/4.18 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 4.08/4.18 0 [] -relation(B)| -function(B)|relation(relation_rng_restriction(A,B)).
% 4.08/4.18 0 [] -relation(B)| -function(B)|function(relation_rng_restriction(A,B)).
% 4.08/4.18 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 4.08/4.18 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 4.08/4.18 0 [] -empty(A)|empty(relation_dom(A)).
% 4.08/4.18 0 [] -empty(A)|relation(relation_dom(A)).
% 4.08/4.18 0 [] -empty(A)|empty(relation_rng(A)).
% 4.08/4.18 0 [] -empty(A)|relation(relation_rng(A)).
% 4.08/4.18 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 4.08/4.18 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.08/4.18 0 [] set_union2(A,A)=A.
% 4.08/4.18 0 [] set_intersection2(A,A)=A.
% 4.08/4.18 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 4.08/4.18 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 4.08/4.18 0 [] -proper_subset(A,A).
% 4.08/4.18 0 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 4.08/4.18 0 [] -relation(A)|reflexive(A)|in($f78(A),relation_field(A)).
% 4.08/4.18 0 [] -relation(A)|reflexive(A)| -in(ordered_pair($f78(A),$f78(A)),A).
% 4.08/4.18 0 [] singleton(A)!=empty_set.
% 4.08/4.18 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.08/4.18 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 4.08/4.18 0 [] in(A,B)|disjoint(singleton(A),B).
% 4.08/4.18 0 [] -relation(B)|subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)).
% 4.08/4.18 0 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 4.08/4.18 0 [] -relation(A)|transitive(A)|in(ordered_pair($f81(A),$f80(A)),A).
% 4.08/4.18 0 [] -relation(A)|transitive(A)|in(ordered_pair($f80(A),$f79(A)),A).
% 4.08/4.18 0 [] -relation(A)|transitive(A)| -in(ordered_pair($f81(A),$f79(A)),A).
% 4.08/4.18 0 [] -subset(singleton(A),B)|in(A,B).
% 4.08/4.18 0 [] subset(singleton(A),B)| -in(A,B).
% 4.08/4.18 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.08/4.18 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.08/4.18 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 4.08/4.18 0 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 4.08/4.18 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f83(A),$f82(A)),A).
% 4.08/4.18 0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f82(A),$f83(A)),A).
% 4.08/4.18 0 [] -relation(A)|antisymmetric(A)|$f83(A)!=$f82(A).
% 4.08/4.18 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 4.08/4.18 0 [] -relation(A)| -connected(A)| -in(B,relation_field(A))| -in(C,relation_field(A))|B=C|in(ordered_pair(B,C),A)|in(ordered_pair(C,B),A).
% 4.08/4.18 0 [] -relation(A)|connected(A)|in($f85(A),relation_field(A)).
% 4.08/4.18 0 [] -relation(A)|connected(A)|in($f84(A),relation_field(A)).
% 4.08/4.18 0 [] -relation(A)|connected(A)|$f85(A)!=$f84(A).
% 4.08/4.18 0 [] -relation(A)|connected(A)| -in(ordered_pair($f85(A),$f84(A)),A).
% 4.08/4.18 0 [] -relation(A)|connected(A)| -in(ordered_pair($f84(A),$f85(A)),A).
% 4.08/4.18 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.08/4.18 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.08/4.18 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.08/4.18 0 [] -in(A,B)|subset(A,union(B)).
% 4.08/4.18 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.08/4.18 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.08/4.18 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.08/4.18 0 [] in($f86(A,B),A)|element(A,powerset(B)).
% 4.08/4.18 0 [] -in($f86(A,B),B)|element(A,powerset(B)).
% 4.08/4.18 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 4.08/4.18 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 4.08/4.18 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 4.08/4.18 0 [] relation($c1).
% 4.08/4.18 0 [] function($c1).
% 4.08/4.18 0 [] epsilon_transitive($c2).
% 4.08/4.18 0 [] epsilon_connected($c2).
% 4.08/4.18 0 [] ordinal($c2).
% 4.08/4.18 0 [] empty($c3).
% 4.08/4.18 0 [] relation($c3).
% 4.08/4.18 0 [] empty(A)|element($f87(A),powerset(A)).
% 4.08/4.18 0 [] empty(A)| -empty($f87(A)).
% 4.08/4.18 0 [] empty($c4).
% 4.08/4.18 0 [] relation($c5).
% 4.08/4.18 0 [] empty($c5).
% 4.08/4.18 0 [] function($c5).
% 4.08/4.18 0 [] relation($c6).
% 4.08/4.18 0 [] function($c6).
% 4.08/4.18 0 [] one_to_one($c6).
% 4.08/4.18 0 [] empty($c6).
% 4.08/4.18 0 [] epsilon_transitive($c6).
% 4.08/4.18 0 [] epsilon_connected($c6).
% 4.08/4.18 0 [] ordinal($c6).
% 4.08/4.18 0 [] -empty($c7).
% 4.08/4.18 0 [] relation($c7).
% 4.08/4.18 0 [] element($f88(A),powerset(A)).
% 4.08/4.18 0 [] empty($f88(A)).
% 4.08/4.18 0 [] -empty($c8).
% 4.08/4.18 0 [] relation($c9).
% 4.08/4.18 0 [] function($c9).
% 4.08/4.18 0 [] one_to_one($c9).
% 4.08/4.18 0 [] -empty($c10).
% 4.08/4.18 0 [] epsilon_transitive($c10).
% 4.08/4.18 0 [] epsilon_connected($c10).
% 4.08/4.18 0 [] ordinal($c10).
% 4.08/4.18 0 [] relation($c11).
% 4.08/4.18 0 [] relation_empty_yielding($c11).
% 4.08/4.18 0 [] relation($c12).
% 4.08/4.18 0 [] relation_empty_yielding($c12).
% 4.08/4.18 0 [] function($c12).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 4.08/4.18 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 4.08/4.18 0 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 4.08/4.18 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 4.08/4.18 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,A).
% 4.08/4.18 0 [] subset(A,A).
% 4.08/4.18 0 [] -disjoint(A,B)|disjoint(B,A).
% 4.08/4.18 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.08/4.18 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.08/4.18 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.08/4.18 0 [] in(A,succ(A)).
% 4.08/4.18 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 4.08/4.18 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 4.08/4.18 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 4.08/4.18 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 4.08/4.18 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 4.08/4.18 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 4.08/4.18 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 4.08/4.18 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 4.08/4.18 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 4.08/4.18 0 [] -subset(A,B)|set_union2(A,B)=B.
% 4.08/4.18 0 [] in(A,$f89(A)).
% 4.08/4.18 0 [] -in(C,$f89(A))| -subset(D,C)|in(D,$f89(A)).
% 4.08/4.18 0 [] -in(X12,$f89(A))|in(powerset(X12),$f89(A)).
% 4.08/4.18 0 [] -subset(X13,$f89(A))|are_e_quipotent(X13,$f89(A))|in(X13,$f89(A)).
% 4.08/4.18 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f90(A,B,C),relation_dom(C)).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f90(A,B,C),A),C).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f90(A,B,C),B).
% 4.08/4.18 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 4.08/4.18 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 4.08/4.18 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 4.08/4.18 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 4.08/4.18 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 4.08/4.18 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 4.08/4.18 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f91(A,B,C),relation_rng(C)).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f91(A,B,C)),C).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f91(A,B,C),B).
% 4.08/4.18 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 4.08/4.18 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_restriction(C,B))|in(A,C).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_restriction(C,B))|in(A,cartesian_product2(B,B)).
% 4.08/4.18 0 [] -relation(C)|in(A,relation_restriction(C,B))| -in(A,C)| -in(A,cartesian_product2(B,B)).
% 4.08/4.18 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 4.08/4.18 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 4.08/4.18 0 [] -relation(B)|relation_restriction(B,A)=relation_dom_restriction(relation_rng_restriction(A,B),A).
% 4.08/4.18 0 [] subset(set_intersection2(A,B),A).
% 4.08/4.18 0 [] -relation(B)|relation_restriction(B,A)=relation_rng_restriction(A,relation_dom_restriction(B,A)).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_field(relation_restriction(C,B)))|in(A,relation_field(C)).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_field(relation_restriction(C,B)))|in(A,B).
% 4.08/4.18 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 4.08/4.18 0 [] set_union2(A,empty_set)=A.
% 4.08/4.18 0 [] -in(A,B)|element(A,B).
% 4.08/4.18 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 4.08/4.18 0 [] powerset(empty_set)=singleton(empty_set).
% 4.08/4.18 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 4.08/4.18 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 4.08/4.18 0 [] relation($c13).
% 4.08/4.18 0 [] -subset(relation_field(relation_restriction($c13,$c14)),relation_field($c13))| -subset(relation_field(relation_restriction($c13,$c14)),$c14).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|in(A,relation_dom(relation_composition(C,B)))| -in(A,relation_dom(C))| -in(apply(C,A),relation_dom(B)).
% 4.08/4.18 0 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 4.08/4.18 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|apply(relation_composition(C,B),A)=apply(B,apply(C,A)).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)).
% 4.08/4.18 0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 4.08/4.18 0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 4.08/4.18 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 4.08/4.18 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 4.08/4.18 0 [] set_intersection2(A,empty_set)=empty_set.
% 4.08/4.18 0 [] -element(A,B)|empty(B)|in(A,B).
% 4.08/4.18 0 [] in($f92(A,B),A)|in($f92(A,B),B)|A=B.
% 4.08/4.18 0 [] -in($f92(A,B),A)| -in($f92(A,B),B)|A=B.
% 4.08/4.18 0 [] subset(empty_set,A).
% 4.08/4.18 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 4.08/4.18 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 4.08/4.18 0 [] in($f93(A),A)|ordinal(A).
% 4.08/4.18 0 [] -ordinal($f93(A))| -subset($f93(A),A)|ordinal(A).
% 4.08/4.18 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|ordinal($f94(A,B)).
% 4.08/4.18 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|in($f94(A,B),A).
% 4.08/4.18 0 [] -ordinal(B)| -subset(A,B)|A=empty_set| -ordinal(D)| -in(D,A)|ordinal_subset($f94(A,B),D).
% 4.08/4.18 0 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 4.08/4.18 0 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 4.08/4.18 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 4.08/4.18 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 4.08/4.18 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 4.08/4.18 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 4.08/4.18 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 4.08/4.18 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f95(A,B),A).
% 4.08/4.18 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f95(A,B))!=$f95(A,B).
% 4.08/4.18 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 4.08/4.18 0 [] subset(set_difference(A,B),A).
% 4.08/4.18 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 4.08/4.18 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 4.08/4.18 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.08/4.18 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.08/4.18 0 [] -subset(singleton(A),B)|in(A,B).
% 4.08/4.18 0 [] subset(singleton(A),B)| -in(A,B).
% 4.08/4.18 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 4.08/4.18 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 4.08/4.18 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 4.08/4.18 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.08/4.18 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.08/4.18 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.08/4.18 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.08/4.18 0 [] set_difference(A,empty_set)=A.
% 4.08/4.18 0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 4.08/4.18 0 [] -element(A,powerset(B))|subset(A,B).
% 4.08/4.18 0 [] element(A,powerset(B))| -subset(A,B).
% 4.08/4.18 0 [] disjoint(A,B)|in($f96(A,B),A).
% 4.08/4.18 0 [] disjoint(A,B)|in($f96(A,B),B).
% 4.08/4.18 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 4.08/4.18 0 [] -subset(A,empty_set)|A=empty_set.
% 4.08/4.18 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.08/4.18 0 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 4.08/4.18 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f97(A)).
% 4.08/4.18 0 [] -ordinal(A)|being_limit_ordinal(A)|in($f97(A),A).
% 4.08/4.18 0 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f97(A)),A).
% 4.08/4.18 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f98(A)).
% 4.08/4.18 0 [] -ordinal(A)|being_limit_ordinal(A)|A=succ($f98(A)).
% 4.08/4.18 0 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 4.08/4.18 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 4.08/4.18 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 4.08/4.18 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 4.08/4.18 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.08/4.18 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 4.08/4.18 0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 4.08/4.18 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 4.08/4.18 0 [] set_difference(empty_set,A)=empty_set.
% 4.08/4.18 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 4.08/4.18 0 [] disjoint(A,B)|in($f99(A,B),set_intersection2(A,B)).
% 4.08/4.18 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 4.08/4.18 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 4.08/4.18 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)).
% 4.08/4.18 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).
% 4.08/4.18 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)).
% 4.08/4.18 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).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f101(A,B),relation_rng(A))|in($f100(A,B),relation_dom(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f101(A,B),relation_rng(A))|$f101(A,B)=apply(A,$f100(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f100(A,B)=apply(B,$f101(A,B))|in($f100(A,B),relation_dom(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f100(A,B)=apply(B,$f101(A,B))|$f101(A,B)=apply(A,$f100(A,B)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f100(A,B),relation_dom(A))|$f101(A,B)!=apply(A,$f100(A,B))| -in($f101(A,B),relation_rng(A))|$f100(A,B)!=apply(B,$f101(A,B)).
% 4.08/4.18 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 4.08/4.18 0 [] -relation(A)|in(ordered_pair($f103(A),$f102(A)),A)|A=empty_set.
% 4.08/4.18 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 4.08/4.18 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 4.08/4.18 0 [] -relation(A)| -well_founded_relation(A)|is_well_founded_in(A,relation_field(A)).
% 4.08/4.18 0 [] -relation(A)|well_founded_relation(A)| -is_well_founded_in(A,relation_field(A)).
% 4.08/4.18 0 [] relation_dom(empty_set)=empty_set.
% 4.08/4.18 0 [] relation_rng(empty_set)=empty_set.
% 4.08/4.18 0 [] -subset(A,B)| -proper_subset(B,A).
% 4.08/4.18 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 4.08/4.18 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 4.08/4.18 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 4.08/4.18 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 4.08/4.18 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 4.08/4.18 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 4.08/4.18 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 4.08/4.18 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 4.08/4.18 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).
% 4.08/4.18 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($f104(A,B,C),relation_dom(B)).
% 4.08/4.18 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|apply(B,$f104(A,B,C))!=apply(C,$f104(A,B,C)).
% 4.08/4.18 0 [] unordered_pair(A,A)=singleton(A).
% 4.08/4.18 0 [] -empty(A)|A=empty_set.
% 4.08/4.18 0 [] -subset(singleton(A),singleton(B))|A=B.
% 4.08/4.18 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 4.08/4.18 0 [] relation_dom(identity_relation(A))=A.
% 4.08/4.18 0 [] relation_rng(identity_relation(A))=A.
% 4.08/4.18 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 4.08/4.18 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 4.08/4.18 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 4.08/4.18 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 4.08/4.18 0 [] -in(A,B)| -empty(B).
% 4.08/4.18 0 [] -in(A,B)|in($f105(A,B),B).
% 4.08/4.18 0 [] -in(A,B)| -in(D,B)| -in(D,$f105(A,B)).
% 4.08/4.18 0 [] subset(A,set_union2(A,B)).
% 4.08/4.18 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 4.08/4.18 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 4.08/4.18 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 4.08/4.18 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 4.08/4.18 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 4.08/4.18 0 [] -empty(A)|A=B| -empty(B).
% 4.08/4.18 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 4.08/4.18 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 4.08/4.18 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 4.08/4.18 0 [] -relation(A)| -well_orders(A,relation_field(A))|well_ordering(A).
% 4.08/4.18 0 [] -relation(A)|well_orders(A,relation_field(A))| -well_ordering(A).
% 4.08/4.18 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 4.08/4.18 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 4.08/4.18 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 4.08/4.18 0 [] -in(A,B)|subset(A,union(B)).
% 4.08/4.18 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 4.08/4.18 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 4.08/4.18 0 [] union(powerset(A))=A.
% 4.08/4.18 0 [] in(A,$f107(A)).
% 4.08/4.18 0 [] -in(C,$f107(A))| -subset(D,C)|in(D,$f107(A)).
% 4.08/4.18 0 [] -in(X14,$f107(A))|in($f106(A,X14),$f107(A)).
% 4.08/4.18 0 [] -in(X14,$f107(A))| -subset(E,X14)|in(E,$f106(A,X14)).
% 4.08/4.18 0 [] -subset(X15,$f107(A))|are_e_quipotent(X15,$f107(A))|in(X15,$f107(A)).
% 4.08/4.18 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 4.08/4.18 end_of_list.
% 4.08/4.18
% 4.08/4.18 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 4.08/4.18
% 4.08/4.18 This ia a non-Horn set with equality. The strategy will be
% 4.08/4.18 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 4.08/4.18 deletion, with positive clauses in sos and nonpositive
% 4.08/4.18 clauses in usable.
% 4.08/4.18
% 4.08/4.18 dependent: set(knuth_bendix).
% 4.08/4.18 dependent: set(anl_eq).
% 4.08/4.18 dependent: set(para_from).
% 4.08/4.18 dependent: set(para_into).
% 4.08/4.18 dependent: clear(para_from_right).
% 4.08/4.19 dependent: clear(para_into_right).
% 4.08/4.19 dependent: set(para_from_vars).
% 4.08/4.19 dependent: set(eq_units_both_ways).
% 4.08/4.19 dependent: set(dynamic_demod_all).
% 4.08/4.19 dependent: set(dynamic_demod).
% 4.08/4.19 dependent: set(order_eq).
% 4.08/4.19 dependent: set(back_demod).
% 4.08/4.19 dependent: set(lrpo).
% 4.08/4.19 dependent: set(hyper_res).
% 4.08/4.19 dependent: set(unit_deletion).
% 4.08/4.19 dependent: set(factor).
% 4.08/4.19
% 4.08/4.19 ------------> process usable:
% 4.08/4.19 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 4.08/4.19 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 4.08/4.19 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 4.08/4.19 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_transitive(A).
% 4.08/4.19 ** KEPT (pick-wt=4): 5 [] -ordinal(A)|epsilon_connected(A).
% 4.08/4.19 ** KEPT (pick-wt=4): 6 [] -empty(A)|relation(A).
% 4.08/4.19 ** KEPT (pick-wt=8): 7 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 4.08/4.19 ** KEPT (pick-wt=6): 8 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 4.08/4.19 ** KEPT (pick-wt=4): 9 [] -empty(A)|epsilon_transitive(A).
% 4.08/4.19 ** KEPT (pick-wt=4): 10 [] -empty(A)|epsilon_connected(A).
% 4.08/4.19 ** KEPT (pick-wt=4): 11 [] -empty(A)|ordinal(A).
% 4.08/4.19 ** KEPT (pick-wt=10): 12 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 4.08/4.19 ** KEPT (pick-wt=14): 13 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 4.08/4.19 ** KEPT (pick-wt=14): 14 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 4.08/4.19 ** KEPT (pick-wt=17): 15 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 4.08/4.19 ** KEPT (pick-wt=20): 16 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 4.08/4.19 ** KEPT (pick-wt=22): 17 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 4.08/4.19 ** KEPT (pick-wt=27): 18 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 4.08/4.19 ** KEPT (pick-wt=6): 19 [] A!=B|subset(A,B).
% 4.08/4.19 ** KEPT (pick-wt=6): 20 [] A!=B|subset(B,A).
% 4.08/4.19 ** KEPT (pick-wt=9): 21 [] A=B| -subset(A,B)| -subset(B,A).
% 4.08/4.19 ** KEPT (pick-wt=17): 22 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 4.08/4.19 ** KEPT (pick-wt=19): 23 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 4.08/4.19 ** KEPT (pick-wt=22): 24 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)|in(ordered_pair(D,E),B)| -in(D,C)| -in(ordered_pair(D,E),A).
% 4.08/4.19 ** KEPT (pick-wt=26): 25 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in($f4(A,C,B),C).
% 4.08/4.19 ** KEPT (pick-wt=31): 26 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 4.08/4.19 ** KEPT (pick-wt=37): 27 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)| -in($f4(A,C,B),C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 4.08/4.19 ** KEPT (pick-wt=20): 28 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 4.08/4.19 ** KEPT (pick-wt=19): 29 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 4.08/4.19 ** KEPT (pick-wt=21): 31 [copy,30,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 4.08/4.19 ** KEPT (pick-wt=24): 32 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 4.08/4.19 ** KEPT (pick-wt=22): 33 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 4.08/4.19 ** KEPT (pick-wt=21): 34 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 4.08/4.19 ** KEPT (pick-wt=26): 36 [copy,35,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 4.08/4.19 ** KEPT (pick-wt=30): 37 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f7(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f7(A,C,B)!=apply(A,D).
% 4.08/4.19 ** KEPT (pick-wt=17): 38 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 4.08/4.19 ** KEPT (pick-wt=19): 39 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 4.08/4.19 ** KEPT (pick-wt=22): 40 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)|in(ordered_pair(D,E),B)| -in(E,C)| -in(ordered_pair(D,E),A).
% 4.08/4.19 ** KEPT (pick-wt=26): 41 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in($f8(C,A,B),C).
% 4.08/4.19 ** KEPT (pick-wt=31): 42 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 4.08/4.19 ** KEPT (pick-wt=37): 43 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)| -in($f8(C,A,B),C)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 4.08/4.19 ** KEPT (pick-wt=8): 44 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 4.08/4.19 ** KEPT (pick-wt=8): 45 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 4.08/4.19 ** KEPT (pick-wt=16): 46 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 4.08/4.19 ** KEPT (pick-wt=17): 47 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 4.08/4.19 ** KEPT (pick-wt=21): 48 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 4.08/4.19 ** KEPT (pick-wt=22): 49 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 4.08/4.19 ** KEPT (pick-wt=23): 50 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 4.08/4.19 ** KEPT (pick-wt=30): 51 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f10(A,C,B),B)| -in($f10(A,C,B),relation_dom(A))| -in(apply(A,$f10(A,C,B)),C).
% 4.08/4.19 ** KEPT (pick-wt=19): 52 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 4.08/4.19 ** KEPT (pick-wt=17): 53 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 4.08/4.19 ** KEPT (pick-wt=18): 54 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 4.08/4.19 ** KEPT (pick-wt=24): 55 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 4.08/4.19 ** KEPT (pick-wt=19): 56 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 4.08/4.19 ** KEPT (pick-wt=24): 57 [] -relation(A)|B=relation_image(A,C)| -in($f13(A,C,B),B)| -in(ordered_pair(D,$f13(A,C,B)),A)| -in(D,C).
% 4.08/4.19 ** KEPT (pick-wt=19): 58 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 4.08/4.19 ** KEPT (pick-wt=17): 59 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 4.08/4.19 ** KEPT (pick-wt=18): 60 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 4.08/4.19 ** KEPT (pick-wt=24): 61 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 4.08/4.19 ** KEPT (pick-wt=19): 62 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 4.08/4.19 ** KEPT (pick-wt=24): 63 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f16(A,C,B),B)| -in(ordered_pair($f16(A,C,B),D),A)| -in(D,C).
% 4.08/4.19 ** KEPT (pick-wt=8): 64 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 4.08/4.19 ** KEPT (pick-wt=8): 65 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 4.08/4.19 ** KEPT (pick-wt=8): 66 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 4.08/4.19 ** KEPT (pick-wt=8): 67 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 4.08/4.19 ** KEPT (pick-wt=18): 68 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 4.08/4.19 ** KEPT (pick-wt=12): 69 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 4.08/4.19 ** KEPT (pick-wt=12): 70 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 4.08/4.19 ** KEPT (pick-wt=12): 71 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 4.08/4.19 ** KEPT (pick-wt=20): 72 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 4.08/4.19 ** KEPT (pick-wt=20): 73 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 4.08/4.19 ** KEPT (pick-wt=20): 74 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 4.08/4.19 ** KEPT (pick-wt=14): 76 [copy,75,flip.3] -relation(A)| -in(B,A)|ordered_pair($f19(A,B),$f18(A,B))=B.
% 4.08/4.19 ** KEPT (pick-wt=8): 77 [] relation(A)|$f20(A)!=ordered_pair(B,C).
% 4.08/4.19 ** KEPT (pick-wt=13): 78 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 4.08/4.19 ** KEPT (pick-wt=10): 79 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 4.08/4.19 ** KEPT (pick-wt=14): 80 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 4.08/4.19 ** KEPT (pick-wt=16): 81 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 4.08/4.19 ** KEPT (pick-wt=16): 82 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 4.08/4.19 ** KEPT (pick-wt=16): 83 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 4.08/4.19 ** KEPT (pick-wt=20): 84 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(C,A)|in($f24(A,B),C).
% 4.08/4.19 ** KEPT (pick-wt=17): 85 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 4.08/4.19 ** KEPT (pick-wt=19): 86 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 4.08/4.19 ** KEPT (pick-wt=10): 87 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 4.08/4.19 ** KEPT (pick-wt=10): 88 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 4.08/4.19 ** KEPT (pick-wt=10): 89 [] A!=singleton(B)| -in(C,A)|C=B.
% 4.08/4.19 ** KEPT (pick-wt=10): 90 [] A!=singleton(B)|in(C,A)|C!=B.
% 4.08/4.19 ** KEPT (pick-wt=14): 91 [] A=singleton(B)| -in($f25(B,A),A)|$f25(B,A)!=B.
% 4.08/4.19 ** KEPT (pick-wt=6): 92 [] A!=empty_set| -in(B,A).
% 4.08/4.19 ** KEPT (pick-wt=10): 93 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 4.08/4.19 ** KEPT (pick-wt=10): 94 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 4.08/4.19 ** KEPT (pick-wt=14): 95 [] A=powerset(B)| -in($f27(B,A),A)| -subset($f27(B,A),B).
% 4.08/4.19 ** KEPT (pick-wt=8): 96 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 4.08/4.19 ** KEPT (pick-wt=6): 97 [] epsilon_transitive(A)| -subset($f28(A),A).
% 4.08/4.19 ** KEPT (pick-wt=17): 98 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.08/4.19 ** KEPT (pick-wt=17): 99 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 4.08/4.19 ** KEPT (pick-wt=25): 100 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.08/4.19 ** KEPT (pick-wt=25): 101 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.08/4.19 ** KEPT (pick-wt=8): 102 [] empty(A)| -element(B,A)|in(B,A).
% 4.08/4.19 ** KEPT (pick-wt=8): 103 [] empty(A)|element(B,A)| -in(B,A).
% 4.08/4.19 ** KEPT (pick-wt=7): 104 [] -empty(A)| -element(B,A)|empty(B).
% 4.08/4.19 ** KEPT (pick-wt=7): 105 [] -empty(A)|element(B,A)| -empty(B).
% 4.08/4.19 ** KEPT (pick-wt=14): 106 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 4.08/4.19 ** KEPT (pick-wt=11): 107 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 4.08/4.19 ** KEPT (pick-wt=11): 108 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 4.08/4.19 ** KEPT (pick-wt=17): 109 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=B.
% 4.08/4.19 ** KEPT (pick-wt=17): 110 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=C.
% 4.08/4.19 ** KEPT (pick-wt=16): 111 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f32(A,B),B).
% 4.08/4.19 ** KEPT (pick-wt=18): 112 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f32(A,B)),B).
% 4.08/4.19 ** KEPT (pick-wt=9): 113 [] -relation(A)|well_founded_relation(A)|subset($f33(A),relation_field(A)).
% 4.08/4.19 ** KEPT (pick-wt=8): 114 [] -relation(A)|well_founded_relation(A)|$f33(A)!=empty_set.
% 4.08/4.19 ** KEPT (pick-wt=14): 115 [] -relation(A)|well_founded_relation(A)| -in(B,$f33(A))| -disjoint(fiber(A,B),$f33(A)).
% 4.08/4.19 ** KEPT (pick-wt=14): 116 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 4.08/4.19 ** KEPT (pick-wt=11): 117 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 4.08/4.19 ** KEPT (pick-wt=11): 118 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 4.08/4.19 ** KEPT (pick-wt=17): 119 [] A=set_union2(B,C)| -in($f34(B,C,A),A)| -in($f34(B,C,A),B).
% 4.08/4.19 ** KEPT (pick-wt=17): 120 [] A=set_union2(B,C)| -in($f34(B,C,A),A)| -in($f34(B,C,A),C).
% 4.08/4.19 ** KEPT (pick-wt=15): 121 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f36(B,C,A,D),B).
% 4.08/4.19 ** KEPT (pick-wt=15): 122 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f35(B,C,A,D),C).
% 4.08/4.19 ** KEPT (pick-wt=21): 124 [copy,123,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f36(B,C,A,D),$f35(B,C,A,D))=D.
% 4.08/4.20 ** KEPT (pick-wt=19): 125 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 4.08/4.20 ** KEPT (pick-wt=25): 126 [] A=cartesian_product2(B,C)| -in($f39(B,C,A),A)| -in(D,B)| -in(E,C)|$f39(B,C,A)!=ordered_pair(D,E).
% 4.08/4.20 ** KEPT (pick-wt=17): 127 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 4.08/4.20 ** KEPT (pick-wt=7): 128 [] epsilon_connected(A)| -in($f41(A),$f40(A)).
% 4.08/4.20 ** KEPT (pick-wt=7): 129 [] epsilon_connected(A)|$f41(A)!=$f40(A).
% 4.08/4.20 ** KEPT (pick-wt=7): 130 [] epsilon_connected(A)| -in($f40(A),$f41(A)).
% 4.08/4.20 ** KEPT (pick-wt=17): 131 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.08/4.20 ** KEPT (pick-wt=16): 132 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f43(A,B),$f42(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=16): 133 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f43(A,B),$f42(A,B)),B).
% 4.08/4.20 ** KEPT (pick-wt=9): 134 [] -subset(A,B)| -in(C,A)|in(C,B).
% 4.08/4.20 ** KEPT (pick-wt=8): 135 [] subset(A,B)| -in($f44(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=17): 136 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f45(A,B,C),C).
% 4.08/4.20 ** KEPT (pick-wt=19): 137 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f45(A,B,C)),C).
% 4.08/4.20 ** KEPT (pick-wt=10): 138 [] -relation(A)|is_well_founded_in(A,B)|subset($f46(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=10): 139 [] -relation(A)|is_well_founded_in(A,B)|$f46(A,B)!=empty_set.
% 4.08/4.20 ** KEPT (pick-wt=17): 140 [] -relation(A)|is_well_founded_in(A,B)| -in(C,$f46(A,B))| -disjoint(fiber(A,C),$f46(A,B)).
% 4.08/4.20 ** KEPT (pick-wt=11): 141 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 4.08/4.20 ** KEPT (pick-wt=11): 142 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 4.08/4.20 ** KEPT (pick-wt=14): 143 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 4.08/4.20 ** KEPT (pick-wt=23): 144 [] A=set_intersection2(B,C)| -in($f47(B,C,A),A)| -in($f47(B,C,A),B)| -in($f47(B,C,A),C).
% 4.08/4.20 ** KEPT (pick-wt=18): 145 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 4.08/4.20 ** KEPT (pick-wt=18): 146 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 4.08/4.20 ** KEPT (pick-wt=16): 147 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 4.08/4.20 ** KEPT (pick-wt=16): 148 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 4.08/4.20 Following clause subsumed by 4 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.08/4.20 Following clause subsumed by 5 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 4.08/4.20 Following clause subsumed by 8 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 4.08/4.20 ** KEPT (pick-wt=17): 149 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f48(A,B,C)),A).
% 4.08/4.20 ** KEPT (pick-wt=14): 150 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 4.08/4.20 ** KEPT (pick-wt=20): 151 [] -relation(A)|B=relation_dom(A)|in($f50(A,B),B)|in(ordered_pair($f50(A,B),$f49(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=18): 152 [] -relation(A)|B=relation_dom(A)| -in($f50(A,B),B)| -in(ordered_pair($f50(A,B),C),A).
% 4.08/4.20 ** KEPT (pick-wt=24): 153 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 4.08/4.20 ** KEPT (pick-wt=10): 154 [] -relation(A)|is_antisymmetric_in(A,B)|in($f52(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=10): 155 [] -relation(A)|is_antisymmetric_in(A,B)|in($f51(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=14): 156 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f52(A,B),$f51(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=14): 157 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f51(A,B),$f52(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=12): 158 [] -relation(A)|is_antisymmetric_in(A,B)|$f52(A,B)!=$f51(A,B).
% 4.08/4.20 ** KEPT (pick-wt=13): 159 [] A!=union(B)| -in(C,A)|in(C,$f53(B,A,C)).
% 4.08/4.20 ** KEPT (pick-wt=13): 160 [] A!=union(B)| -in(C,A)|in($f53(B,A,C),B).
% 4.08/4.20 ** KEPT (pick-wt=13): 161 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 4.08/4.20 ** KEPT (pick-wt=17): 162 [] A=union(B)| -in($f55(B,A),A)| -in($f55(B,A),C)| -in(C,B).
% 4.08/4.20 ** KEPT (pick-wt=6): 163 [] -relation(A)| -well_ordering(A)|reflexive(A).
% 4.08/4.20 ** KEPT (pick-wt=6): 164 [] -relation(A)| -well_ordering(A)|transitive(A).
% 4.08/4.20 ** KEPT (pick-wt=6): 165 [] -relation(A)| -well_ordering(A)|antisymmetric(A).
% 4.08/4.20 ** KEPT (pick-wt=6): 166 [] -relation(A)| -well_ordering(A)|connected(A).
% 4.08/4.20 ** KEPT (pick-wt=6): 167 [] -relation(A)| -well_ordering(A)|well_founded_relation(A).
% 4.08/4.20 ** KEPT (pick-wt=14): 168 [] -relation(A)|well_ordering(A)| -reflexive(A)| -transitive(A)| -antisymmetric(A)| -connected(A)| -well_founded_relation(A).
% 4.08/4.20 ** KEPT (pick-wt=11): 169 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 4.08/4.20 ** KEPT (pick-wt=11): 170 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 4.08/4.20 ** KEPT (pick-wt=14): 171 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 4.08/4.20 ** KEPT (pick-wt=17): 172 [] A=set_difference(B,C)|in($f56(B,C,A),A)| -in($f56(B,C,A),C).
% 4.08/4.20 ** KEPT (pick-wt=23): 173 [] A=set_difference(B,C)| -in($f56(B,C,A),A)| -in($f56(B,C,A),B)|in($f56(B,C,A),C).
% 4.08/4.20 ** KEPT (pick-wt=18): 174 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f57(A,B,C),relation_dom(A)).
% 4.08/4.20 ** KEPT (pick-wt=19): 176 [copy,175,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f57(A,B,C))=C.
% 4.08/4.20 ** KEPT (pick-wt=20): 177 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 4.08/4.20 ** KEPT (pick-wt=19): 178 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f59(A,B),B)|in($f58(A,B),relation_dom(A)).
% 4.08/4.20 ** KEPT (pick-wt=22): 180 [copy,179,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f59(A,B),B)|apply(A,$f58(A,B))=$f59(A,B).
% 4.08/4.20 ** KEPT (pick-wt=24): 181 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f59(A,B),B)| -in(C,relation_dom(A))|$f59(A,B)!=apply(A,C).
% 4.08/4.20 ** KEPT (pick-wt=17): 182 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f60(A,B,C),C),A).
% 4.08/4.20 ** KEPT (pick-wt=14): 183 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 4.08/4.20 ** KEPT (pick-wt=20): 184 [] -relation(A)|B=relation_rng(A)|in($f62(A,B),B)|in(ordered_pair($f61(A,B),$f62(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=18): 185 [] -relation(A)|B=relation_rng(A)| -in($f62(A,B),B)| -in(ordered_pair(C,$f62(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=11): 186 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 4.08/4.20 ** KEPT (pick-wt=8): 187 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 4.08/4.20 ** KEPT (pick-wt=8): 188 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 4.08/4.20 ** KEPT (pick-wt=8): 189 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 4.08/4.20 ** KEPT (pick-wt=8): 190 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 4.08/4.20 ** KEPT (pick-wt=8): 191 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 4.08/4.20 ** KEPT (pick-wt=20): 192 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 4.08/4.20 ** KEPT (pick-wt=6): 194 [copy,193,flip.2] -being_limit_ordinal(A)|union(A)=A.
% 4.08/4.20 ** KEPT (pick-wt=6): 196 [copy,195,flip.2] being_limit_ordinal(A)|union(A)!=A.
% 4.08/4.20 ** KEPT (pick-wt=10): 198 [copy,197,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 4.08/4.20 ** KEPT (pick-wt=24): 199 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 4.08/4.20 ** KEPT (pick-wt=10): 200 [] -relation(A)|is_connected_in(A,B)|in($f64(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=10): 201 [] -relation(A)|is_connected_in(A,B)|in($f63(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=12): 202 [] -relation(A)|is_connected_in(A,B)|$f64(A,B)!=$f63(A,B).
% 4.08/4.20 ** KEPT (pick-wt=14): 203 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f64(A,B),$f63(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=14): 204 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f63(A,B),$f64(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=11): 206 [copy,205,flip.2] -relation(A)|set_intersection2(A,cartesian_product2(B,B))=relation_restriction(A,B).
% 4.08/4.20 ** KEPT (pick-wt=18): 207 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 4.08/4.20 ** KEPT (pick-wt=18): 208 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 4.08/4.20 ** KEPT (pick-wt=26): 209 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f66(A,B),$f65(A,B)),B)|in(ordered_pair($f65(A,B),$f66(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=26): 210 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f66(A,B),$f65(A,B)),B)| -in(ordered_pair($f65(A,B),$f66(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=8): 211 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 4.08/4.20 ** KEPT (pick-wt=8): 212 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 4.08/4.20 ** KEPT (pick-wt=24): 213 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 4.08/4.20 ** KEPT (pick-wt=11): 214 [] -relation(A)| -function(A)|one_to_one(A)|in($f68(A),relation_dom(A)).
% 4.08/4.20 ** KEPT (pick-wt=11): 215 [] -relation(A)| -function(A)|one_to_one(A)|in($f67(A),relation_dom(A)).
% 4.08/4.20 ** KEPT (pick-wt=15): 216 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f68(A))=apply(A,$f67(A)).
% 4.08/4.20 ** KEPT (pick-wt=11): 217 [] -relation(A)| -function(A)|one_to_one(A)|$f68(A)!=$f67(A).
% 4.08/4.20 ** KEPT (pick-wt=26): 218 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f69(A,B,C,D,E)),A).
% 4.08/4.20 ** KEPT (pick-wt=26): 219 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f69(A,B,C,D,E),E),B).
% 4.08/4.20 ** KEPT (pick-wt=26): 220 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 4.08/4.20 ** KEPT (pick-wt=33): 221 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f72(A,B,C),$f71(A,B,C)),C)|in(ordered_pair($f72(A,B,C),$f70(A,B,C)),A).
% 4.08/4.20 ** KEPT (pick-wt=33): 222 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f72(A,B,C),$f71(A,B,C)),C)|in(ordered_pair($f70(A,B,C),$f71(A,B,C)),B).
% 4.08/4.20 ** KEPT (pick-wt=38): 223 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f72(A,B,C),$f71(A,B,C)),C)| -in(ordered_pair($f72(A,B,C),D),A)| -in(ordered_pair(D,$f71(A,B,C)),B).
% 4.08/4.20 ** KEPT (pick-wt=29): 224 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 4.08/4.20 ** KEPT (pick-wt=10): 225 [] -relation(A)|is_transitive_in(A,B)|in($f75(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=10): 226 [] -relation(A)|is_transitive_in(A,B)|in($f74(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=10): 227 [] -relation(A)|is_transitive_in(A,B)|in($f73(A,B),B).
% 4.08/4.20 ** KEPT (pick-wt=14): 228 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f75(A,B),$f74(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=14): 229 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f74(A,B),$f73(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=14): 230 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f75(A,B),$f73(A,B)),A).
% 4.08/4.20 ** KEPT (pick-wt=27): 231 [] -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).
% 4.08/4.20 ** KEPT (pick-wt=27): 232 [] -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).
% 4.08/4.20 ** KEPT (pick-wt=22): 233 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f76(B,A,C),powerset(B)).
% 4.08/4.20 ** KEPT (pick-wt=29): 234 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f76(B,A,C),C)|in(subset_complement(B,$f76(B,A,C)),A).
% 4.08/4.20 ** KEPT (pick-wt=29): 235 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f76(B,A,C),C)| -in(subset_complement(B,$f76(B,A,C)),A).
% 4.08/4.20 ** KEPT (pick-wt=6): 236 [] -proper_subset(A,B)|subset(A,B).
% 4.08/4.20 ** KEPT (pick-wt=6): 237 [] -proper_subset(A,B)|A!=B.
% 4.08/4.20 ** KEPT (pick-wt=9): 238 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 4.08/4.20 ** KEPT (pick-wt=11): 240 [copy,239,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 4.08/4.20 ** KEPT (pick-wt=8): 241 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 242 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 4.08/4.21 ** KEPT (pick-wt=7): 243 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 4.08/4.21 ** KEPT (pick-wt=7): 244 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 4.08/4.21 ** KEPT (pick-wt=6): 245 [] -relation(A)|relation(relation_restriction(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=10): 246 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 4.08/4.21 ** KEPT (pick-wt=5): 247 [] -relation(A)|relation(relation_inverse(A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 248 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=11): 249 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 4.08/4.21 ** KEPT (pick-wt=11): 250 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 4.08/4.21 ** KEPT (pick-wt=15): 251 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 4.08/4.21 ** KEPT (pick-wt=6): 252 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=12): 253 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 4.08/4.21 ** KEPT (pick-wt=6): 254 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 255 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 256 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 257 [] -empty(A)|empty(relation_inverse(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 258 [] -empty(A)|relation(relation_inverse(A)).
% 4.08/4.21 Following clause subsumed by 252 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=8): 259 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 4.08/4.21 Following clause subsumed by 248 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=12): 260 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=3): 261 [] -empty(succ(A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 262 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=3): 263 [] -empty(powerset(A)).
% 4.08/4.21 ** KEPT (pick-wt=4): 264 [] -empty(ordered_pair(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=8): 265 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=3): 266 [] -empty(singleton(A)).
% 4.08/4.21 ** KEPT (pick-wt=6): 267 [] empty(A)| -empty(set_union2(A,B)).
% 4.08/4.21 Following clause subsumed by 247 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 4.08/4.21 ** KEPT (pick-wt=9): 268 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 4.08/4.21 Following clause subsumed by 261 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 269 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 270 [] -ordinal(A)|epsilon_connected(succ(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 271 [] -ordinal(A)|ordinal(succ(A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 272 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=4): 273 [] -empty(unordered_pair(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=6): 274 [] empty(A)| -empty(set_union2(B,A)).
% 4.08/4.21 Following clause subsumed by 252 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=8): 275 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=5): 276 [] -ordinal(A)|epsilon_transitive(union(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 277 [] -ordinal(A)|epsilon_connected(union(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 278 [] -ordinal(A)|ordinal(union(A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 279 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 4.08/4.21 Following clause subsumed by 254 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_rng_restriction(B,A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 280 [] -relation(A)| -function(A)|function(relation_rng_restriction(B,A)).
% 4.08/4.21 ** KEPT (pick-wt=7): 281 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 4.08/4.21 ** KEPT (pick-wt=7): 282 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 283 [] -empty(A)|empty(relation_dom(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 284 [] -empty(A)|relation(relation_dom(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 285 [] -empty(A)|empty(relation_rng(A)).
% 4.08/4.21 ** KEPT (pick-wt=5): 286 [] -empty(A)|relation(relation_rng(A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 287 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=8): 288 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.08/4.21 ** KEPT (pick-wt=11): 289 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 4.08/4.21 ** KEPT (pick-wt=7): 290 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 4.08/4.21 ** KEPT (pick-wt=12): 291 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 4.08/4.21 ** KEPT (pick-wt=3): 292 [] -proper_subset(A,A).
% 4.08/4.21 ** KEPT (pick-wt=13): 293 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 4.08/4.21 ** KEPT (pick-wt=9): 294 [] -relation(A)|reflexive(A)|in($f78(A),relation_field(A)).
% 4.08/4.21 ** KEPT (pick-wt=11): 295 [] -relation(A)|reflexive(A)| -in(ordered_pair($f78(A),$f78(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=4): 296 [] singleton(A)!=empty_set.
% 4.08/4.21 ** KEPT (pick-wt=9): 297 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.08/4.21 ** KEPT (pick-wt=7): 298 [] -disjoint(singleton(A),B)| -in(A,B).
% 4.08/4.21 ** KEPT (pick-wt=9): 299 [] -relation(A)|subset(relation_dom(relation_rng_restriction(B,A)),relation_dom(A)).
% 4.08/4.21 ** KEPT (pick-wt=19): 300 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 4.08/4.21 ** KEPT (pick-wt=11): 301 [] -relation(A)|transitive(A)|in(ordered_pair($f81(A),$f80(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=11): 302 [] -relation(A)|transitive(A)|in(ordered_pair($f80(A),$f79(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=11): 303 [] -relation(A)|transitive(A)| -in(ordered_pair($f81(A),$f79(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=7): 304 [] -subset(singleton(A),B)|in(A,B).
% 4.08/4.21 ** KEPT (pick-wt=7): 305 [] subset(singleton(A),B)| -in(A,B).
% 4.08/4.21 ** KEPT (pick-wt=8): 306 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.08/4.21 ** KEPT (pick-wt=8): 307 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.08/4.21 ** KEPT (pick-wt=10): 308 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 4.08/4.21 ** KEPT (pick-wt=17): 309 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 4.08/4.21 ** KEPT (pick-wt=11): 310 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f83(A),$f82(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=11): 311 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f82(A),$f83(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=9): 312 [] -relation(A)|antisymmetric(A)|$f83(A)!=$f82(A).
% 4.08/4.21 ** KEPT (pick-wt=12): 313 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 4.08/4.21 ** KEPT (pick-wt=25): 314 [] -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).
% 4.08/4.21 ** KEPT (pick-wt=9): 315 [] -relation(A)|connected(A)|in($f85(A),relation_field(A)).
% 4.08/4.21 ** KEPT (pick-wt=9): 316 [] -relation(A)|connected(A)|in($f84(A),relation_field(A)).
% 4.08/4.21 ** KEPT (pick-wt=9): 317 [] -relation(A)|connected(A)|$f85(A)!=$f84(A).
% 4.08/4.21 ** KEPT (pick-wt=11): 318 [] -relation(A)|connected(A)| -in(ordered_pair($f85(A),$f84(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=11): 319 [] -relation(A)|connected(A)| -in(ordered_pair($f84(A),$f85(A)),A).
% 4.08/4.21 ** KEPT (pick-wt=11): 320 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.08/4.21 ** KEPT (pick-wt=7): 321 [] subset(A,singleton(B))|A!=empty_set.
% 4.08/4.21 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.08/4.21 ** KEPT (pick-wt=7): 322 [] -in(A,B)|subset(A,union(B)).
% 4.08/4.21 ** KEPT (pick-wt=10): 323 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.08/4.21 ** KEPT (pick-wt=10): 324 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.08/4.21 ** KEPT (pick-wt=13): 325 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.08/4.21 ** KEPT (pick-wt=9): 326 [] -in($f86(A,B),B)|element(A,powerset(B)).
% 4.08/4.21 ** KEPT (pick-wt=14): 327 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 4.08/4.21 ** KEPT (pick-wt=13): 328 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 4.08/4.21 ** KEPT (pick-wt=17): 329 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 4.08/4.21 ** KEPT (pick-wt=5): 330 [] empty(A)| -empty($f87(A)).
% 4.08/4.21 ** KEPT (pick-wt=2): 331 [] -empty($c7).
% 4.08/4.21 ** KEPT (pick-wt=2): 332 [] -empty($c8).
% 4.08/4.21 ** KEPT (pick-wt=2): 333 [] -empty($c10).
% 4.08/4.21 ** KEPT (pick-wt=11): 334 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 4.08/4.21 ** KEPT (pick-wt=11): 335 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 4.08/4.21 ** KEPT (pick-wt=16): 336 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 4.08/4.21 ** KEPT (pick-wt=10): 337 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 4.08/4.21 ** KEPT (pick-wt=10): 338 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 4.08/4.21 ** KEPT (pick-wt=5): 340 [copy,339,factor_simp] -ordinal(A)|ordinal_subset(A,A).
% 4.08/4.21 ** KEPT (pick-wt=6): 341 [] -disjoint(A,B)|disjoint(B,A).
% 4.08/4.21 Following clause subsumed by 323 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.08/4.21 Following clause subsumed by 324 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.08/4.21 Following clause subsumed by 325 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.08/4.21 ** KEPT (pick-wt=13): 342 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 4.08/4.21 ** KEPT (pick-wt=11): 343 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 4.08/4.21 ** KEPT (pick-wt=12): 344 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 4.08/4.21 ** KEPT (pick-wt=15): 345 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 4.08/4.21 ** KEPT (pick-wt=8): 346 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 4.08/4.21 ** KEPT (pick-wt=7): 347 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 4.08/4.21 ** KEPT (pick-wt=9): 348 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 4.08/4.21 ** KEPT (pick-wt=10): 349 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 4.08/4.21 ** KEPT (pick-wt=10): 350 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 4.08/4.21 ** KEPT (pick-wt=11): 351 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 4.08/4.21 ** KEPT (pick-wt=13): 352 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 4.08/4.21 ** KEPT (pick-wt=8): 353 [] -subset(A,B)|set_union2(A,B)=B.
% 4.08/4.21 ** KEPT (pick-wt=11): 354 [] -in(A,$f89(B))| -subset(C,A)|in(C,$f89(B)).
% 4.08/4.21 ** KEPT (pick-wt=9): 355 [] -in(A,$f89(B))|in(powerset(A),$f89(B)).
% 4.08/4.21 ** KEPT (pick-wt=12): 356 [] -subset(A,$f89(B))|are_e_quipotent(A,$f89(B))|in(A,$f89(B)).
% 4.08/4.21 ** KEPT (pick-wt=13): 358 [copy,357,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 4.08/4.21 ** KEPT (pick-wt=14): 359 [] -relation(A)| -in(B,relation_image(A,C))|in($f90(B,C,A),relation_dom(A)).
% 4.08/4.21 ** KEPT (pick-wt=15): 360 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f90(B,C,A),B),A).
% 4.08/4.21 ** KEPT (pick-wt=13): 361 [] -relation(A)| -in(B,relation_image(A,C))|in($f90(B,C,A),C).
% 4.08/4.21 ** KEPT (pick-wt=19): 362 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 4.08/4.21 ** KEPT (pick-wt=8): 363 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 4.08/4.21 ** KEPT (pick-wt=11): 364 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 4.08/4.21 ** KEPT (pick-wt=12): 366 [copy,365,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 4.08/4.21 ** KEPT (pick-wt=13): 367 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 4.08/4.21 ** KEPT (pick-wt=9): 369 [copy,368,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 4.08/4.21 ** KEPT (pick-wt=15): 370 [] -relation(A)| -function(A)| -subset(B,relation_rng(A))|relation_image(A,relation_inverse_image(A,B))=B.
% 4.08/4.22 ** KEPT (pick-wt=13): 371 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 4.08/4.22 ** KEPT (pick-wt=14): 372 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f91(B,C,A),relation_rng(A)).
% 4.08/4.22 ** KEPT (pick-wt=15): 373 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f91(B,C,A)),A).
% 4.08/4.22 ** KEPT (pick-wt=13): 374 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f91(B,C,A),C).
% 4.08/4.22 ** KEPT (pick-wt=19): 375 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 4.08/4.22 ** KEPT (pick-wt=8): 376 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 4.08/4.22 ** KEPT (pick-wt=10): 377 [] -relation(A)| -in(B,relation_restriction(A,C))|in(B,A).
% 4.08/4.22 ** KEPT (pick-wt=12): 378 [] -relation(A)| -in(B,relation_restriction(A,C))|in(B,cartesian_product2(C,C)).
% 4.08/4.22 ** KEPT (pick-wt=15): 379 [] -relation(A)|in(B,relation_restriction(A,C))| -in(B,A)| -in(B,cartesian_product2(C,C)).
% 4.08/4.22 ** KEPT (pick-wt=14): 380 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 4.08/4.22 ** KEPT (pick-wt=12): 381 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 4.08/4.22 ** KEPT (pick-wt=11): 383 [copy,382,flip.2] -relation(A)|relation_dom_restriction(relation_rng_restriction(B,A),B)=relation_restriction(A,B).
% 4.08/4.22 ** KEPT (pick-wt=11): 385 [copy,384,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,B))=relation_restriction(A,B).
% 4.08/4.22 ** KEPT (pick-wt=12): 386 [] -relation(A)| -in(B,relation_field(relation_restriction(A,C)))|in(B,relation_field(A)).
% 4.08/4.22 ** KEPT (pick-wt=11): 387 [] -relation(A)| -in(B,relation_field(relation_restriction(A,C)))|in(B,C).
% 4.08/4.22 ** KEPT (pick-wt=11): 388 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 4.08/4.22 ** KEPT (pick-wt=6): 389 [] -in(A,B)|element(A,B).
% 4.08/4.22 ** KEPT (pick-wt=9): 390 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 4.08/4.22 ** KEPT (pick-wt=11): 391 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 4.08/4.22 ** KEPT (pick-wt=11): 392 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 4.08/4.22 ** KEPT (pick-wt=13): 393 [] -subset(relation_field(relation_restriction($c13,$c14)),relation_field($c13))| -subset(relation_field(relation_restriction($c13,$c14)),$c14).
% 4.08/4.22 ** KEPT (pick-wt=18): 394 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 4.08/4.22 ** KEPT (pick-wt=20): 395 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 4.08/4.22 ** KEPT (pick-wt=24): 396 [] -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)).
% 4.08/4.22 ** KEPT (pick-wt=10): 397 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 4.08/4.22 ** KEPT (pick-wt=9): 398 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 4.08/4.22 ** KEPT (pick-wt=25): 399 [] -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)).
% 4.08/4.22 ** KEPT (pick-wt=23): 400 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 4.08/4.22 ** KEPT (pick-wt=7): 401 [] -ordinal(A)| -in(B,A)|ordinal(B).
% 4.08/4.22 ** KEPT (pick-wt=13): 402 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 4.08/4.22 ** KEPT (pick-wt=12): 403 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 4.08/4.22 ** KEPT (pick-wt=12): 404 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 4.08/4.22 ** KEPT (pick-wt=10): 405 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 4.08/4.22 ** KEPT (pick-wt=8): 406 [] -subset(A,B)|set_intersection2(A,B)=A.
% 4.08/4.22 Following clause subsumed by 102 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 4.08/4.22 ** KEPT (pick-wt=13): 407 [] -in($f92(A,B),A)| -in($f92(A,B),B)|A=B.
% 4.08/4.22 ** KEPT (pick-wt=11): 408 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 4.08/4.22 ** KEPT (pick-wt=11): 409 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 4.08/4.22 ** KEPT (pick-wt=9): 410 [] -ordinal($f93(A))| -subset($f93(A),A)|ordinal(A).
% 4.08/4.22 ** KEPT (pick-wt=12): 411 [] -ordinal(A)| -subset(B,A)|B=empty_set|ordinal($f94(B,A)).
% 4.08/4.22 ** KEPT (pick-wt=13): 412 [] -ordinal(A)| -subset(B,A)|B=empty_set|in($f94(B,A),B).
% 4.08/4.22 ** KEPT (pick-wt=18): 413 [] -ordinal(A)| -subset(B,A)|B=empty_set| -ordinal(C)| -in(C,B)|ordinal_subset($f94(B,A),C).
% 4.08/4.22 ** KEPT (pick-wt=11): 414 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 4.08/4.22 ** KEPT (pick-wt=11): 415 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 4.08/4.22 ** KEPT (pick-wt=10): 416 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 4.08/4.22 ** KEPT (pick-wt=10): 417 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 4.08/4.22 ** KEPT (pick-wt=10): 418 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 4.08/4.22 ** KEPT (pick-wt=12): 419 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 4.08/4.22 ** KEPT (pick-wt=16): 420 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 4.08/4.22 ** KEPT (pick-wt=17): 421 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f95(B,A),B).
% 4.08/4.22 ** KEPT (pick-wt=21): 422 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f95(B,A))!=$f95(B,A).
% 4.08/4.22 ** KEPT (pick-wt=9): 423 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 4.08/4.22 ** KEPT (pick-wt=8): 424 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 4.08/4.22 ** KEPT (pick-wt=8): 426 [copy,425,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 4.08/4.22 Following clause subsumed by 306 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.08/4.22 Following clause subsumed by 307 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.08/4.22 Following clause subsumed by 304 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 4.08/4.22 Following clause subsumed by 305 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 4.08/4.22 ** KEPT (pick-wt=8): 427 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 4.08/4.22 ** KEPT (pick-wt=8): 428 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 4.08/4.22 ** KEPT (pick-wt=11): 429 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 4.08/4.22 Following clause subsumed by 320 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.08/4.22 Following clause subsumed by 321 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.08/4.22 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.08/4.22 ** KEPT (pick-wt=9): 430 [] -in(A,B)| -in(B,C)| -in(C,A).
% 4.08/4.22 ** KEPT (pick-wt=7): 431 [] -element(A,powerset(B))|subset(A,B).
% 4.08/4.22 ** KEPT (pick-wt=7): 432 [] element(A,powerset(B))| -subset(A,B).
% 4.08/4.22 ** KEPT (pick-wt=9): 433 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 4.08/4.22 ** KEPT (pick-wt=6): 434 [] -subset(A,empty_set)|A=empty_set.
% 4.08/4.22 ** KEPT (pick-wt=13): 435 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 4.08/4.22 ** KEPT (pick-wt=7): 436 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f97(A)).
% 4.08/4.22 ** KEPT (pick-wt=8): 437 [] -ordinal(A)|being_limit_ordinal(A)|in($f97(A),A).
% 4.08/4.22 ** KEPT (pick-wt=9): 438 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f97(A)),A).
% 4.08/4.22 ** KEPT (pick-wt=7): 439 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f98(A)).
% 4.08/4.22 ** KEPT (pick-wt=9): 441 [copy,440,flip.3] -ordinal(A)|being_limit_ordinal(A)|succ($f98(A))=A.
% 4.08/4.22 ** KEPT (pick-wt=10): 442 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 4.08/4.22 ** KEPT (pick-wt=16): 443 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 4.08/4.22 ** KEPT (pick-wt=16): 444 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 4.08/4.22 ** KEPT (pick-wt=11): 445 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 4.08/4.22 ** KEPT (pick-wt=11): 446 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 4.08/4.22 ** KEPT (pick-wt=10): 448 [copy,447,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 4.08/4.23 ** KEPT (pick-wt=16): 449 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 4.08/4.23 ** KEPT (pick-wt=13): 450 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 4.08/4.23 Following clause subsumed by 297 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.08/4.23 ** KEPT (pick-wt=16): 451 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 4.08/4.23 ** KEPT (pick-wt=21): 452 [] -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)).
% 4.08/4.23 ** KEPT (pick-wt=21): 453 [] -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)).
% 4.08/4.23 ** KEPT (pick-wt=10): 454 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 4.08/4.23 ** KEPT (pick-wt=8): 455 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 4.08/4.23 ** KEPT (pick-wt=18): 456 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 4.08/4.23 ** KEPT (pick-wt=19): 457 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 4.08/4.23 ** KEPT (pick-wt=27): 458 [] -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)).
% 4.08/4.23 ** KEPT (pick-wt=28): 459 [] -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).
% 4.08/4.23 ** KEPT (pick-wt=27): 460 [] -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)).
% 4.08/4.23 ** KEPT (pick-wt=28): 461 [] -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).
% 4.08/4.23 ** KEPT (pick-wt=31): 462 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f101(A,B),relation_rng(A))|in($f100(A,B),relation_dom(A)).
% 4.08/4.23 ** KEPT (pick-wt=34): 464 [copy,463,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f101(A,B),relation_rng(A))|apply(A,$f100(A,B))=$f101(A,B).
% 4.08/4.23 ** KEPT (pick-wt=34): 466 [copy,465,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,$f101(A,B))=$f100(A,B)|in($f100(A,B),relation_dom(A)).
% 4.08/4.23 ** KEPT (pick-wt=37): 468 [copy,467,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f101(A,B))=$f100(A,B)|apply(A,$f100(A,B))=$f101(A,B).
% 4.08/4.23 ** KEPT (pick-wt=49): 470 [copy,469,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f100(A,B),relation_dom(A))|apply(A,$f100(A,B))!=$f101(A,B)| -in($f101(A,B),relation_rng(A))|apply(B,$f101(A,B))!=$f100(A,B).
% 4.08/4.23 ** KEPT (pick-wt=12): 471 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 4.08/4.23 ** KEPT (pick-wt=12): 472 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 4.08/4.23 ** KEPT (pick-wt=12): 474 [copy,473,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 4.08/4.23 ** KEPT (pick-wt=12): 475 [] -relation(A)|in(ordered_pair($f103(A),$f102(A)),A)|A=empty_set.
% 4.08/4.23 ** KEPT (pick-wt=18): 477 [copy,476,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 4.08/4.23 ** KEPT (pick-wt=18): 479 [copy,478,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 4.20/4.30 ** KEPT (pick-wt=9): 480 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 4.20/4.30 ** KEPT (pick-wt=8): 481 [] -relation(A)| -well_founded_relation(A)|is_well_founded_in(A,relation_field(A)).
% 4.20/4.30 ** KEPT (pick-wt=8): 482 [] -relation(A)|well_founded_relation(A)| -is_well_founded_in(A,relation_field(A)).
% 4.20/4.30 ** KEPT (pick-wt=6): 483 [] -subset(A,B)| -proper_subset(B,A).
% 4.20/4.30 ** KEPT (pick-wt=9): 484 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 4.20/4.30 ** KEPT (pick-wt=9): 485 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 4.20/4.30 ** KEPT (pick-wt=9): 486 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=9): 487 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=10): 488 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=10): 489 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=9): 490 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 4.20/4.30 ** KEPT (pick-wt=20): 491 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 4.20/4.30 ** KEPT (pick-wt=24): 492 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)| -in(D,relation_dom(A))|apply(A,D)=apply(B,D).
% 4.20/4.30 ** KEPT (pick-wt=27): 493 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f104(C,A,B),relation_dom(A)).
% 4.20/4.30 ** KEPT (pick-wt=33): 494 [] -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,$f104(C,A,B))!=apply(B,$f104(C,A,B)).
% 4.20/4.30 ** KEPT (pick-wt=5): 495 [] -empty(A)|A=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=8): 496 [] -subset(singleton(A),singleton(B))|A=B.
% 4.20/4.30 ** KEPT (pick-wt=19): 497 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 4.20/4.30 ** KEPT (pick-wt=16): 498 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 4.20/4.30 ** KEPT (pick-wt=13): 499 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 4.20/4.30 ** KEPT (pick-wt=15): 500 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 4.20/4.30 ** KEPT (pick-wt=18): 501 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 4.20/4.30 ** KEPT (pick-wt=5): 502 [] -in(A,B)| -empty(B).
% 4.20/4.30 ** KEPT (pick-wt=8): 503 [] -in(A,B)|in($f105(A,B),B).
% 4.20/4.30 ** KEPT (pick-wt=11): 504 [] -in(A,B)| -in(C,B)| -in(C,$f105(A,B)).
% 4.20/4.30 ** KEPT (pick-wt=8): 505 [] -disjoint(A,B)|set_difference(A,B)=A.
% 4.20/4.30 ** KEPT (pick-wt=8): 506 [] disjoint(A,B)|set_difference(A,B)!=A.
% 4.20/4.30 ** KEPT (pick-wt=11): 507 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 4.20/4.30 ** KEPT (pick-wt=12): 508 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 4.20/4.30 ** KEPT (pick-wt=15): 509 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 4.20/4.30 ** KEPT (pick-wt=7): 510 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 4.20/4.30 ** KEPT (pick-wt=7): 511 [] -empty(A)|A=B| -empty(B).
% 4.20/4.30 Following clause subsumed by 391 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 4.20/4.30 ** KEPT (pick-wt=14): 512 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 4.20/4.30 Following clause subsumed by 145 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 4.20/4.30 ** KEPT (pick-wt=8): 513 [] -relation(A)| -well_orders(A,relation_field(A))|well_ordering(A).
% 4.20/4.30 ** KEPT (pick-wt=8): 514 [] -relation(A)|well_orders(A,relation_field(A))| -well_ordering(A).
% 4.20/4.30 ** KEPT (pick-wt=11): 515 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 4.20/4.30 ** KEPT (pick-wt=9): 516 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 4.20/4.30 ** KEPT (pick-wt=11): 517 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 4.20/4.30 Following clause subsumed by 322 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 4.20/4.30 ** KEPT (pick-wt=10): 518 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 4.20/4.30 ** KEPT (pick-wt=9): 519 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 4.20/4.30 ** KEPT (pick-wt=11): 520 [] -in(A,$f107(B))| -subset(C,A)|in(C,$f107(B)).
% 4.20/4.30 ** KEPT (pick-wt=10): 521 [] -in(A,$f107(B))|in($f106(B,A),$f107(B)).
% 4.20/4.30 ** KEPT (pick-wt=12): 522 [] -in(A,$f107(B))| -subset(C,A)|in(C,$f106(B,A)).
% 4.20/4.30 ** KEPT (pick-wt=12): 523 [] -subset(A,$f107(B))|are_e_quipotent(A,$f107(B))|in(A,$f107(B)).
% 4.20/4.30 ** KEPT (pick-wt=9): 524 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 4.20/4.30 134 back subsumes 131.
% 4.20/4.30 389 back subsumes 103.
% 4.20/4.30 507 back subsumes 328.
% 4.20/4.30 508 back subsumes 327.
% 4.20/4.30 509 back subsumes 329.
% 4.20/4.30 512 back subsumes 146.
% 4.20/4.30 530 back subsumes 529.
% 4.20/4.30 538 back subsumes 537.
% 4.20/4.30
% 4.20/4.30 ------------> process sos:
% 4.20/4.30 ** KEPT (pick-wt=3): 678 [] A=A.
% 4.20/4.30 ** KEPT (pick-wt=7): 679 [] unordered_pair(A,B)=unordered_pair(B,A).
% 4.20/4.30 ** KEPT (pick-wt=7): 680 [] set_union2(A,B)=set_union2(B,A).
% 4.20/4.30 ** KEPT (pick-wt=7): 681 [] set_intersection2(A,B)=set_intersection2(B,A).
% 4.20/4.30 ** KEPT (pick-wt=34): 682 [] A=unordered_triple(B,C,D)|in($f17(B,C,D,A),A)|$f17(B,C,D,A)=B|$f17(B,C,D,A)=C|$f17(B,C,D,A)=D.
% 4.20/4.30 ** KEPT (pick-wt=7): 683 [] succ(A)=set_union2(A,singleton(A)).
% 4.20/4.30 ---> New Demodulator: 684 [new_demod,683] succ(A)=set_union2(A,singleton(A)).
% 4.20/4.30 ** KEPT (pick-wt=6): 685 [] relation(A)|in($f20(A),A).
% 4.20/4.30 ** KEPT (pick-wt=14): 686 [] A=singleton(B)|in($f25(B,A),A)|$f25(B,A)=B.
% 4.20/4.30 ** KEPT (pick-wt=7): 687 [] A=empty_set|in($f26(A),A).
% 4.20/4.30 ** KEPT (pick-wt=14): 688 [] A=powerset(B)|in($f27(B,A),A)|subset($f27(B,A),B).
% 4.20/4.30 ** KEPT (pick-wt=6): 689 [] epsilon_transitive(A)|in($f28(A),A).
% 4.20/4.30 ** KEPT (pick-wt=23): 690 [] A=unordered_pair(B,C)|in($f31(B,C,A),A)|$f31(B,C,A)=B|$f31(B,C,A)=C.
% 4.20/4.30 ** KEPT (pick-wt=23): 691 [] A=set_union2(B,C)|in($f34(B,C,A),A)|in($f34(B,C,A),B)|in($f34(B,C,A),C).
% 4.20/4.30 ** KEPT (pick-wt=17): 692 [] A=cartesian_product2(B,C)|in($f39(B,C,A),A)|in($f38(B,C,A),B).
% 4.20/4.30 ** KEPT (pick-wt=17): 693 [] A=cartesian_product2(B,C)|in($f39(B,C,A),A)|in($f37(B,C,A),C).
% 4.20/4.30 ** KEPT (pick-wt=25): 695 [copy,694,flip.3] A=cartesian_product2(B,C)|in($f39(B,C,A),A)|ordered_pair($f38(B,C,A),$f37(B,C,A))=$f39(B,C,A).
% 4.20/4.30 ** KEPT (pick-wt=6): 696 [] epsilon_connected(A)|in($f41(A),A).
% 4.20/4.30 ** KEPT (pick-wt=6): 697 [] epsilon_connected(A)|in($f40(A),A).
% 4.20/4.30 ** KEPT (pick-wt=8): 698 [] subset(A,B)|in($f44(A,B),A).
% 4.20/4.30 ** KEPT (pick-wt=17): 699 [] A=set_intersection2(B,C)|in($f47(B,C,A),A)|in($f47(B,C,A),B).
% 4.20/4.30 ** KEPT (pick-wt=17): 700 [] A=set_intersection2(B,C)|in($f47(B,C,A),A)|in($f47(B,C,A),C).
% 4.20/4.30 ** KEPT (pick-wt=4): 701 [] cast_to_subset(A)=A.
% 4.20/4.30 ---> New Demodulator: 702 [new_demod,701] cast_to_subset(A)=A.
% 4.20/4.30 ** KEPT (pick-wt=16): 703 [] A=union(B)|in($f55(B,A),A)|in($f55(B,A),$f54(B,A)).
% 4.20/4.30 ** KEPT (pick-wt=14): 704 [] A=union(B)|in($f55(B,A),A)|in($f54(B,A),B).
% 4.20/4.30 ** KEPT (pick-wt=17): 705 [] A=set_difference(B,C)|in($f56(B,C,A),A)|in($f56(B,C,A),B).
% 4.20/4.30 ** KEPT (pick-wt=10): 707 [copy,706,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 4.20/4.30 ---> New Demodulator: 708 [new_demod,707] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 4.20/4.30 ** KEPT (pick-wt=4): 710 [copy,709,demod,702] element(A,powerset(A)).
% 4.20/4.30 ** KEPT (pick-wt=3): 711 [] relation(identity_relation(A)).
% 4.20/4.30 ** KEPT (pick-wt=4): 712 [] element($f77(A),A).
% 4.20/4.30 ** KEPT (pick-wt=2): 713 [] empty(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 714 [] relation(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 715 [] relation_empty_yielding(empty_set).
% 4.20/4.30 Following clause subsumed by 713 during input processing: 0 [] empty(empty_set).
% 4.20/4.30 Following clause subsumed by 711 during input processing: 0 [] relation(identity_relation(A)).
% 4.20/4.30 ** KEPT (pick-wt=3): 716 [] function(identity_relation(A)).
% 4.20/4.30 Following clause subsumed by 714 during input processing: 0 [] relation(empty_set).
% 4.20/4.30 Following clause subsumed by 715 during input processing: 0 [] relation_empty_yielding(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 717 [] function(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 718 [] one_to_one(empty_set).
% 4.20/4.30 Following clause subsumed by 713 during input processing: 0 [] empty(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 719 [] epsilon_transitive(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 720 [] epsilon_connected(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 721 [] ordinal(empty_set).
% 4.20/4.30 Following clause subsumed by 713 during input processing: 0 [] empty(empty_set).
% 4.20/4.30 Following clause subsumed by 714 during input processing: 0 [] relation(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=5): 722 [] set_union2(A,A)=A.
% 4.20/4.30 ---> New Demodulator: 723 [new_demod,722] set_union2(A,A)=A.
% 4.20/4.30 ** KEPT (pick-wt=5): 724 [] set_intersection2(A,A)=A.
% 4.20/4.30 ---> New Demodulator: 725 [new_demod,724] set_intersection2(A,A)=A.
% 4.20/4.30 ** KEPT (pick-wt=7): 726 [] in(A,B)|disjoint(singleton(A),B).
% 4.20/4.30 ** KEPT (pick-wt=9): 727 [] in($f86(A,B),A)|element(A,powerset(B)).
% 4.20/4.30 ** KEPT (pick-wt=2): 728 [] relation($c1).
% 4.20/4.30 ** KEPT (pick-wt=2): 729 [] function($c1).
% 4.20/4.30 ** KEPT (pick-wt=2): 730 [] epsilon_transitive($c2).
% 4.20/4.30 ** KEPT (pick-wt=2): 731 [] epsilon_connected($c2).
% 4.20/4.30 ** KEPT (pick-wt=2): 732 [] ordinal($c2).
% 4.20/4.30 ** KEPT (pick-wt=2): 733 [] empty($c3).
% 4.20/4.30 ** KEPT (pick-wt=2): 734 [] relation($c3).
% 4.20/4.30 ** KEPT (pick-wt=7): 735 [] empty(A)|element($f87(A),powerset(A)).
% 4.20/4.30 ** KEPT (pick-wt=2): 736 [] empty($c4).
% 4.20/4.30 ** KEPT (pick-wt=2): 737 [] relation($c5).
% 4.20/4.30 ** KEPT (pick-wt=2): 738 [] empty($c5).
% 4.20/4.30 ** KEPT (pick-wt=2): 739 [] function($c5).
% 4.20/4.30 ** KEPT (pick-wt=2): 740 [] relation($c6).
% 4.20/4.30 ** KEPT (pick-wt=2): 741 [] function($c6).
% 4.20/4.30 ** KEPT (pick-wt=2): 742 [] one_to_one($c6).
% 4.20/4.30 ** KEPT (pick-wt=2): 743 [] empty($c6).
% 4.20/4.30 ** KEPT (pick-wt=2): 744 [] epsilon_transitive($c6).
% 4.20/4.30 ** KEPT (pick-wt=2): 745 [] epsilon_connected($c6).
% 4.20/4.30 ** KEPT (pick-wt=2): 746 [] ordinal($c6).
% 4.20/4.30 ** KEPT (pick-wt=2): 747 [] relation($c7).
% 4.20/4.30 ** KEPT (pick-wt=5): 748 [] element($f88(A),powerset(A)).
% 4.20/4.30 ** KEPT (pick-wt=3): 749 [] empty($f88(A)).
% 4.20/4.30 ** KEPT (pick-wt=2): 750 [] relation($c9).
% 4.20/4.30 ** KEPT (pick-wt=2): 751 [] function($c9).
% 4.20/4.30 ** KEPT (pick-wt=2): 752 [] one_to_one($c9).
% 4.20/4.30 ** KEPT (pick-wt=2): 753 [] epsilon_transitive($c10).
% 4.20/4.30 ** KEPT (pick-wt=2): 754 [] epsilon_connected($c10).
% 4.20/4.30 ** KEPT (pick-wt=2): 755 [] ordinal($c10).
% 4.20/4.30 ** KEPT (pick-wt=2): 756 [] relation($c11).
% 4.20/4.30 ** KEPT (pick-wt=2): 757 [] relation_empty_yielding($c11).
% 4.20/4.30 ** KEPT (pick-wt=2): 758 [] relation($c12).
% 4.20/4.30 ** KEPT (pick-wt=2): 759 [] relation_empty_yielding($c12).
% 4.20/4.30 ** KEPT (pick-wt=2): 760 [] function($c12).
% 4.20/4.30 ** KEPT (pick-wt=3): 761 [] subset(A,A).
% 4.20/4.30 ** KEPT (pick-wt=6): 763 [copy,762,demod,684] in(A,set_union2(A,singleton(A))).
% 4.20/4.30 ** KEPT (pick-wt=4): 764 [] in(A,$f89(A)).
% 4.20/4.30 ** KEPT (pick-wt=5): 765 [] subset(set_intersection2(A,B),A).
% 4.20/4.30 ** KEPT (pick-wt=5): 766 [] set_union2(A,empty_set)=A.
% 4.20/4.30 ---> New Demodulator: 767 [new_demod,766] set_union2(A,empty_set)=A.
% 4.20/4.30 ** KEPT (pick-wt=5): 769 [copy,768,flip.1] singleton(empty_set)=powerset(empty_set).
% 4.20/4.30 ---> New Demodulator: 770 [new_demod,769] singleton(empty_set)=powerset(empty_set).
% 4.20/4.30 ** KEPT (pick-wt=2): 771 [] relation($c13).
% 4.20/4.30 ** KEPT (pick-wt=5): 772 [] set_intersection2(A,empty_set)=empty_set.
% 4.20/4.30 ---> New Demodulator: 773 [new_demod,772] set_intersection2(A,empty_set)=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=13): 774 [] in($f92(A,B),A)|in($f92(A,B),B)|A=B.
% 4.20/4.30 ** KEPT (pick-wt=3): 775 [] subset(empty_set,A).
% 4.20/4.30 ** KEPT (pick-wt=6): 776 [] in($f93(A),A)|ordinal(A).
% 4.20/4.30 ** KEPT (pick-wt=5): 777 [] subset(set_difference(A,B),A).
% 4.20/4.30 ** KEPT (pick-wt=9): 778 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.20/4.30 ---> New Demodulator: 779 [new_demod,778] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.20/4.30 ** KEPT (pick-wt=5): 780 [] set_difference(A,empty_set)=A.
% 4.20/4.30 ---> New Demodulator: 781 [new_demod,780] set_difference(A,empty_set)=A.
% 4.20/4.30 ** KEPT (pick-wt=8): 782 [] disjoint(A,B)|in($f96(A,B),A).
% 4.20/4.30 ** KEPT (pick-wt=8): 783 [] disjoint(A,B)|in($f96(A,B),B).
% 4.20/4.30 ** KEPT (pick-wt=9): 784 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.20/4.30 ---> New Demodulator: 785 [new_demod,784] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.20/4.30 ** KEPT (pick-wt=9): 787 [copy,786,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 4.20/4.30 ---> New Demodulator: 788 [new_demod,787] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 4.20/4.30 ** KEPT (pick-wt=5): 789 [] set_difference(empty_set,A)=empty_set.
% 4.20/4.30 ---> New Demodulator: 790 [new_demod,789] set_difference(empty_set,A)=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=12): 792 [copy,791,demod,788] disjoint(A,B)|in($f99(A,B),set_difference(A,set_difference(A,B))).
% 4.20/4.30 ** KEPT (pick-wt=4): 793 [] relation_dom(empty_set)=empty_set.
% 4.20/4.30 ---> New Demodulator: 794 [new_demod,793] relation_dom(empty_set)=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=4): 795 [] relation_rng(empty_set)=empty_set.
% 4.20/4.30 ---> New Demodulator: 796 [new_demod,795] relation_rng(empty_set)=empty_set.
% 4.20/4.30 ** KEPT (pick-wt=9): 797 [] set_difference(A,singleton(B))=A|in(B,A).
% 4.20/4.30 ** KEPT (pick-wt=6): 799 [copy,798,flip.1] singleton(A)=unordered_pair(A,A).
% 4.20/4.30 ---> New Demodulator: 800 [new_demod,799] singleton(A)=unordered_pair(A,A).
% 4.20/4.30 ** KEPT (pick-wt=5): 801 [] relation_dom(identity_relation(A))=A.
% 4.20/4.30 ---> New Demodulator: 802 [new_demod,801] relation_dom(identity_relation(A))=A.
% 4.20/4.30 ** KEPT (pick-wt=5): 803 [] relation_rng(identity_relation(A))=A.
% 4.20/4.30 ---> New Demodulator: 804 [new_demod,803] relation_rng(identity_relation(A))=A.
% 4.20/4.30 ** KEPT (pick-wt=5): 805 [] subset(A,set_union2(A,B)).
% 4.20/4.30 ** KEPT (pick-wt=5): 806 [] union(powerset(A))=A.
% 4.20/4.30 ---> New Demodulator: 807 [new_demod,806] union(powerset(A))=A.
% 4.20/4.30 ** KEPT (pick-wt=4): 808 [] in(A,$f107(A)).
% 4.20/4.30 Following clause subsumed by 678 during input processing: 0 [copy,678,flip.1] A=A.
% 4.20/4.30 678 back subsumes 664.
% 4.20/4.30 678 back subsumes 659.
% 4.20/4.30 678 back subsumes 636.
% 4.20/4.30 678 back subsumes 633.
% 4.20/4.30 678 back subsumes 616.
% 4.20/4.30 678 back subsumes 615.
% 4.20/4.30 678 back subsumes 578.
% 4.20/4.30 678 back subsumes 574.
% 4.20/4.30 678 back subsumes 568.
% 4.20/4.30 678 back subsumes 561.
% 4.20/4.30 678 back subsumes 551.
% 4.20/4.30 678 back subsumes 550.
% 4.20/4.30 678 back subsumes 527.
% 4.20/4.30 Following clause subsumed by 679 during input processing: 0 [copy,679,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 4.20/4.30 Following clause subsumed by 680 during input processing: 0 [copy,680,flip.1] set_union2(A,B)=set_union2(B,A).
% 4.20/4.30 ** KEPT (pick-wt=11): 809 [copy,681,flip.1,demod,788,788] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 4.20/4.30 >>>> Starting back demodulation with 684.
% 4.20/4.30 >> back demodulating 641 with 684.
% 4.20/4.30 >> back demodulating 638 with 684.
% 4.20/4.30 >> back demodulating 442 with 684.
% 4.20/4.30 >> back demodulating 441 with 684.
% 4.20/4.30 >> back demodulating 438 with 684.
% 4.20/4.30 >> back demodulating 435 with 684.
% 4.20/4.30 >> back demodulating 415 with 684.
% 4.20/4.30 >> back demodulating 414 with 684.
% 4.20/4.30 >> back demodulating 271 with 684.
% 4.20/4.30 >> back demodulating 270 with 684.
% 4.20/4.30 >> back demodulating 269 with 684.
% 4.20/4.30 >> back demodulating 261 with 684.
% 4.20/4.30 >>>> Starting back demodulation with 702.
% 4.20/4.30 >> back demodulating 453 with 702.
% 4.20/4.30 >> back demodulating 452 with 702.
% 4.20/4.30 >>>> Starting back demodulation with 708.
% 4.20/4.30 >>>> Starting back demodulation with 723.
% 4.20/4.30 >> back demodulating 665 with 723.
% 4.20/4.30 >> back demodulating 612 with 723.
% 4.20/4.30 >> back demodulating 554 with 723.
% 4.20/4.30 >>>> Starting back demodulation with 725.
% 4.20/4.30 >> back demodulating 669 with 725.
% 4.20/4.30 >> back demodulating 627 with 725.
% 4.20/4.30 >> back demodulating 611 with 725.
% 4.20/4.30 >> back demodulating 567 with 725.
% 4.20/4.30 >> back demodulating 564 with 725.
% 4.20/4.30 761 back subsumes 635.
% 4.20/4.30 761 back subsumes 634.
% 4.20/4.30 761 back subsumes 619.
% 4.20/4.30 761 back subsumes 563.
% 4.20/4.30 761 back subsumes 562.
% 4.20/4.30 >>>> Starting back demodulation with 767.
% 4.20/4.30 >>>> Starting back demodulation with 770.
% 4.20/4.30 >>>> Starting back demodulation with 773.
% 4.20/4.30 >>>> Starting back demodulation with 779.
% 4.20/4.30 >> back demodulating 448 with 779.
% 4.20/4.30 >>>> Starting back demodulation with 781.
% 4.20/4.30 >>>> Starting back demodulation with 785.
% 4.20/4.30 >>>> Starting back demodulation with 788.
% 4.20/4.30 >> back demodulating 772 with 788.
% 4.20/4.30 >> back demodulating 765 with 788.
% 4.20/4.30 >> back demodulating 724 with 788.
% 4.20/4.30 >> back demodulating 700 with 788.
% 4.20/4.30 >> back demodulating 699 with 788.
% 4.20/4.30 >> back demodulating 681 with 788.
% 4.20/4.30 >> back demodulating 661 with 788.
% 4.20/4.30 >> back demodulating 660 with 788.
% 4.20/4.30 >> back demodulating 658 with 788.
% 4.20/4.30 >> back demodulating 566 with 788.
% 4.20/4.30 >> back demodulating 565 with 788.
% 4.20/4.30 >> back demodulating 517 with 788.
% 4.20/4.30 >> back demodulating 494 with 788.
% 4.20/4.30 >> back demodulating 493 with 788.
% 37.91/38.03 >> back demodulating 491 with 788.
% 37.91/38.03 >> back demodulating 455 with 788.
% 37.91/38.03 >> back demodulating 406 with 788.
% 37.91/38.03 >> back demodulating 405 with 788.
% 37.91/38.03 >> back demodulating 388 with 788.
% 37.91/38.03 >> back demodulating 366 with 788.
% 37.91/38.03 >> back demodulating 351 with 788.
% 37.91/38.03 >> back demodulating 262 with 788.
% 37.91/38.03 >> back demodulating 212 with 788.
% 37.91/38.03 >> back demodulating 211 with 788.
% 37.91/38.03 >> back demodulating 206 with 788.
% 37.91/38.03 >> back demodulating 144 with 788.
% 37.91/38.03 >> back demodulating 143 with 788.
% 37.91/38.03 >> back demodulating 142 with 788.
% 37.91/38.03 >> back demodulating 141 with 788.
% 37.91/38.03 >>>> Starting back demodulation with 790.
% 37.91/38.03 >>>> Starting back demodulation with 794.
% 37.91/38.03 >>>> Starting back demodulation with 796.
% 37.91/38.03 >>>> Starting back demodulation with 800.
% 37.91/38.03 >> back demodulating 797 with 800.
% 37.91/38.03 >> back demodulating 769 with 800.
% 37.91/38.03 >> back demodulating 763 with 800.
% 37.91/38.03 >> back demodulating 726 with 800.
% 37.91/38.03 >> back demodulating 707 with 800.
% 37.91/38.03 >> back demodulating 686 with 800.
% 37.91/38.03 >> back demodulating 683 with 800.
% 37.91/38.03 >> back demodulating 524 with 800.
% 37.91/38.03 >> back demodulating 516 with 800.
% 37.91/38.03 >> back demodulating 496 with 800.
% 37.91/38.03 >> back demodulating 490 with 800.
% 37.91/38.03 >> back demodulating 321 with 800.
% 37.91/38.03 >> back demodulating 320 with 800.
% 37.91/38.03 >> back demodulating 313 with 800.
% 37.91/38.03 >> back demodulating 305 with 800.
% 37.91/38.03 >> back demodulating 304 with 800.
% 37.91/38.03 >> back demodulating 298 with 800.
% 37.91/38.03 >> back demodulating 297 with 800.
% 37.91/38.03 >> back demodulating 296 with 800.
% 37.91/38.03 >> back demodulating 266 with 800.
% 37.91/38.03 >> back demodulating 91 with 800.
% 37.91/38.03 >> back demodulating 90 with 800.
% 37.91/38.03 >> back demodulating 89 with 800.
% 37.91/38.03 >>>> Starting back demodulation with 802.
% 37.91/38.03 >>>> Starting back demodulation with 804.
% 37.91/38.03 >>>> Starting back demodulation with 807.
% 37.91/38.03 Following clause subsumed by 809 during input processing: 0 [copy,809,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 37.91/38.03 834 back subsumes 98.
% 37.91/38.03 836 back subsumes 99.
% 37.91/38.03 >>>> Starting back demodulation with 838.
% 37.91/38.03 >> back demodulating 618 with 838.
% 37.91/38.03 >> back demodulating 613 with 838.
% 37.91/38.03 >>>> Starting back demodulation with 864.
% 37.91/38.03 >>>> Starting back demodulation with 868.
% 37.91/38.03 >>>> Starting back demodulation with 871.
% 37.91/38.03
% 37.91/38.03 ======= end of input processing =======
% 37.91/38.03
% 37.91/38.03 =========== start of search ===========
% 37.91/38.03
% 37.91/38.03
% 37.91/38.03 Resetting weight limit to 2.
% 37.91/38.03
% 37.91/38.03
% 37.91/38.03 Resetting weight limit to 2.
% 37.91/38.03
% 37.91/38.03 sos_size=162
% 37.91/38.03
% 37.91/38.03 Search stopped because sos empty.
% 37.91/38.03
% 37.91/38.03
% 37.91/38.03 Search stopped because sos empty.
% 37.91/38.03
% 37.91/38.03 ============ end of search ============
% 37.91/38.03
% 37.91/38.03 -------------- statistics -------------
% 37.91/38.03 clauses given 178
% 37.91/38.03 clauses generated 1469817
% 37.91/38.03 clauses kept 841
% 37.91/38.03 clauses forward subsumed 370
% 37.91/38.03 clauses back subsumed 28
% 37.91/38.03 Kbytes malloced 11718
% 37.91/38.03
% 37.91/38.03 ----------- times (seconds) -----------
% 37.91/38.03 user CPU time 33.87 (0 hr, 0 min, 33 sec)
% 37.91/38.03 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 37.91/38.03 wall-clock time 37 (0 hr, 0 min, 37 sec)
% 37.91/38.03
% 37.91/38.03 Process 12311 finished Wed Jul 27 07:49:23 2022
% 37.91/38.03 Otter interrupted
% 37.91/38.03 PROOF NOT FOUND
%------------------------------------------------------------------------------