TSTP Solution File: SEU240+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU240+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:18 EDT 2022
% Result : Unknown 37.94s 38.06s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU240+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 07:47:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.16/4.25 ----- Otter 3.3f, August 2004 -----
% 4.16/4.25 The process was started by sandbox2 on n025.cluster.edu,
% 4.16/4.25 Wed Jul 27 07:47:00 2022
% 4.16/4.25 The command was "./otter". The process ID is 6696.
% 4.16/4.25
% 4.16/4.25 set(prolog_style_variables).
% 4.16/4.25 set(auto).
% 4.16/4.25 dependent: set(auto1).
% 4.16/4.25 dependent: set(process_input).
% 4.16/4.25 dependent: clear(print_kept).
% 4.16/4.25 dependent: clear(print_new_demod).
% 4.16/4.25 dependent: clear(print_back_demod).
% 4.16/4.25 dependent: clear(print_back_sub).
% 4.16/4.25 dependent: set(control_memory).
% 4.16/4.25 dependent: assign(max_mem, 12000).
% 4.16/4.25 dependent: assign(pick_given_ratio, 4).
% 4.16/4.25 dependent: assign(stats_level, 1).
% 4.16/4.25 dependent: assign(max_seconds, 10800).
% 4.16/4.25 clear(print_given).
% 4.16/4.25
% 4.16/4.25 formula_list(usable).
% 4.16/4.25 all A (A=A).
% 4.16/4.25 all A B (in(A,B)-> -in(B,A)).
% 4.16/4.25 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 4.16/4.25 all A (empty(A)->function(A)).
% 4.16/4.25 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 4.16/4.25 all A (empty(A)->relation(A)).
% 4.16/4.25 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 4.16/4.25 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 4.16/4.25 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.16/4.25 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 4.16/4.25 all A B (set_union2(A,B)=set_union2(B,A)).
% 4.16/4.25 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 4.16/4.25 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,B)|ordinal_subset(B,A)).
% 4.16/4.25 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 4.16/4.25 all A B (A=B<->subset(A,B)&subset(B,A)).
% 4.16/4.25 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))))))).
% 4.16/4.25 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)))))))).
% 4.16/4.25 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))))))).
% 4.16/4.25 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)))))).
% 4.16/4.25 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)))))))).
% 4.16/4.25 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)))))))).
% 4.16/4.25 all A (relation(A)-> (transitive(A)<->is_transitive_in(A,relation_field(A)))).
% 4.16/4.25 all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 4.16/4.25 all A (succ(A)=set_union2(A,singleton(A))).
% 4.16/4.25 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 4.16/4.25 all A (relation(A)-> (all B (is_reflexive_in(A,B)<-> (all C (in(C,B)->in(ordered_pair(C,C),A)))))).
% 4.16/4.25 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))).
% 4.16/4.25 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 4.16/4.25 all A (A=empty_set<-> (all B (-in(B,A)))).
% 4.16/4.25 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 4.16/4.25 all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 4.16/4.25 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))))))).
% 4.16/4.25 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 4.16/4.25 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 4.16/4.25 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 4.16/4.25 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)))))).
% 4.16/4.25 all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 4.16/4.25 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))))))).
% 4.16/4.25 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 4.16/4.25 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 4.16/4.25 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))))).
% 4.16/4.25 all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 4.16/4.25 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 4.16/4.25 all A (cast_to_subset(A)=A).
% 4.16/4.25 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 4.16/4.25 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 4.16/4.25 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)))))))).
% 4.16/4.25 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 4.16/4.25 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 4.16/4.25 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 4.16/4.25 all A (being_limit_ordinal(A)<->A=union(A)).
% 4.16/4.25 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 4.16/4.25 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))))))).
% 4.16/4.25 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 4.16/4.25 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)))).
% 4.16/4.25 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))))))))))).
% 4.16/4.25 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)))))).
% 4.16/4.25 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)))))))).
% 4.16/4.25 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 4.16/4.25 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 4.16/4.25 all A (relation(A)-> (reflexive(A)<->is_reflexive_in(A,relation_field(A)))).
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 4.16/4.25 $T.
% 4.16/4.25 all A element(cast_to_subset(A),powerset(A)).
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 all A (relation(A)->relation(relation_inverse(A))).
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 4.16/4.25 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 4.16/4.25 all A relation(identity_relation(A)).
% 4.16/4.25 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 4.16/4.25 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 4.16/4.25 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 4.16/4.25 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 4.16/4.25 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 4.16/4.25 $T.
% 4.16/4.25 $T.
% 4.16/4.25 all A exists B element(B,A).
% 4.16/4.25 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 4.16/4.25 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 4.16/4.25 empty(empty_set).
% 4.16/4.25 relation(empty_set).
% 4.16/4.25 relation_empty_yielding(empty_set).
% 4.16/4.25 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 4.16/4.25 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 4.16/4.25 all A (-empty(succ(A))).
% 4.16/4.25 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 4.16/4.25 all A (-empty(powerset(A))).
% 4.16/4.25 empty(empty_set).
% 4.16/4.25 all A B (-empty(ordered_pair(A,B))).
% 4.16/4.25 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 4.16/4.25 relation(empty_set).
% 4.16/4.25 relation_empty_yielding(empty_set).
% 4.16/4.25 function(empty_set).
% 4.16/4.25 one_to_one(empty_set).
% 4.16/4.25 empty(empty_set).
% 4.16/4.25 epsilon_transitive(empty_set).
% 4.16/4.25 epsilon_connected(empty_set).
% 4.16/4.25 ordinal(empty_set).
% 4.16/4.25 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 4.16/4.25 all A (-empty(singleton(A))).
% 4.16/4.25 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 4.16/4.25 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 4.16/4.25 all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 4.16/4.25 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 4.16/4.25 all A B (-empty(unordered_pair(A,B))).
% 4.16/4.25 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 4.16/4.25 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 4.16/4.25 all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 4.16/4.25 empty(empty_set).
% 4.16/4.25 relation(empty_set).
% 4.16/4.25 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 4.16/4.25 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 4.16/4.25 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 4.16/4.25 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 4.16/4.25 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 4.16/4.25 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 4.16/4.25 all A B (set_union2(A,A)=A).
% 4.16/4.25 all A B (set_intersection2(A,A)=A).
% 4.16/4.25 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 4.16/4.25 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 4.16/4.25 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 4.16/4.25 all A B (-proper_subset(A,A)).
% 4.16/4.25 all A (relation(A)-> (reflexive(A)<-> (all B (in(B,relation_field(A))->in(ordered_pair(B,B),A))))).
% 4.16/4.25 all A (singleton(A)!=empty_set).
% 4.16/4.25 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 4.16/4.25 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 4.16/4.25 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 4.16/4.25 -(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)))))).
% 4.16/4.25 all A B (subset(singleton(A),B)<->in(A,B)).
% 4.16/4.25 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 4.16/4.25 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 4.16/4.25 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 4.16/4.25 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 4.16/4.25 all A B (in(A,B)->subset(A,union(B))).
% 4.16/4.25 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 4.16/4.25 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 4.16/4.25 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))).
% 4.16/4.25 exists A (relation(A)&function(A)).
% 4.16/4.25 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.16/4.25 exists A (empty(A)&relation(A)).
% 4.16/4.25 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 4.16/4.25 exists A empty(A).
% 4.16/4.25 exists A (relation(A)&empty(A)&function(A)).
% 4.16/4.25 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.16/4.25 exists A (-empty(A)&relation(A)).
% 4.16/4.25 all A exists B (element(B,powerset(A))&empty(B)).
% 4.16/4.25 exists A (-empty(A)).
% 4.16/4.25 exists A (relation(A)&function(A)&one_to_one(A)).
% 4.16/4.25 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 4.16/4.25 exists A (relation(A)&relation_empty_yielding(A)).
% 4.16/4.25 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 4.16/4.25 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 4.16/4.25 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 4.16/4.25 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 4.16/4.25 all A B (ordinal(A)&ordinal(B)-> (ordinal_subset(A,B)<->subset(A,B))).
% 4.16/4.25 all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,A)).
% 4.16/4.25 all A B subset(A,A).
% 4.16/4.25 all A B (disjoint(A,B)->disjoint(B,A)).
% 4.16/4.25 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 4.16/4.25 all A in(A,succ(A)).
% 4.16/4.25 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 4.16/4.25 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 4.16/4.25 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 4.16/4.25 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 4.16/4.25 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 4.16/4.25 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))).
% 4.16/4.25 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 4.16/4.25 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 4.16/4.25 all A B (subset(A,B)->set_union2(A,B)=B).
% 4.16/4.25 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))))).
% 4.16/4.25 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 4.16/4.25 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))))).
% 4.16/4.25 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 4.16/4.25 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 4.16/4.25 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 4.16/4.25 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 4.16/4.25 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 4.16/4.25 all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 4.16/4.25 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 4.16/4.25 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))))).
% 4.16/4.25 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 4.16/4.25 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 4.16/4.25 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 4.16/4.25 all A B subset(set_intersection2(A,B),A).
% 4.16/4.25 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 4.16/4.25 all A (set_union2(A,empty_set)=A).
% 4.16/4.25 all A B (in(A,B)->element(A,B)).
% 4.16/4.25 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 4.16/4.25 powerset(empty_set)=singleton(empty_set).
% 4.16/4.25 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 4.16/4.25 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)))))).
% 4.16/4.25 all A (epsilon_transitive(A)-> (all B (ordinal(B)-> (proper_subset(A,B)->in(A,B))))).
% 4.16/4.25 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 4.16/4.25 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)))))).
% 4.16/4.25 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)))))).
% 4.16/4.25 all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 4.16/4.25 all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 4.16/4.25 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)))))).
% 4.16/4.25 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 4.16/4.25 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 4.16/4.25 all A (set_intersection2(A,empty_set)=empty_set).
% 4.16/4.25 all A B (element(A,B)->empty(B)|in(A,B)).
% 4.16/4.25 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 4.16/4.25 all A subset(empty_set,A).
% 4.16/4.25 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 4.16/4.25 all A ((all B (in(B,A)->ordinal(B)&subset(B,A)))->ordinal(A)).
% 4.16/4.25 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))))))))).
% 4.16/4.25 all A (ordinal(A)-> (all B (ordinal(B)-> (in(A,B)<->ordinal_subset(succ(A),B))))).
% 4.16/4.25 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 4.16/4.25 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 4.16/4.25 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 4.16/4.25 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 4.16/4.25 all A B subset(set_difference(A,B),A).
% 4.16/4.25 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 4.16/4.25 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 4.16/4.25 all A B (subset(singleton(A),B)<->in(A,B)).
% 4.16/4.25 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 4.16/4.25 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 4.16/4.25 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 4.16/4.25 all A (set_difference(A,empty_set)=A).
% 4.16/4.25 all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 4.16/4.25 all A B (element(A,powerset(B))<->subset(A,B)).
% 4.16/4.25 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))).
% 4.16/4.25 all A (subset(A,empty_set)->A=empty_set).
% 4.16/4.25 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 4.16/4.25 all A (ordinal(A)-> (being_limit_ordinal(A)<-> (all B (ordinal(B)-> (in(B,A)->in(succ(B),A)))))).
% 4.16/4.25 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))).
% 4.16/4.25 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 4.16/4.25 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 4.16/4.25 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 4.16/4.25 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 4.16/4.25 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 4.16/4.25 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 4.16/4.25 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 4.16/4.25 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 4.16/4.25 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)))).
% 4.16/4.25 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)))).
% 4.16/4.25 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 4.16/4.25 all A (set_difference(empty_set,A)=empty_set).
% 4.16/4.25 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 4.16/4.25 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))).
% 4.16/4.25 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)))))))).
% 4.16/4.25 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))))))))).
% 4.16/4.25 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 4.16/4.25 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)))).
% 4.16/4.25 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 4.16/4.25 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))).
% 4.16/4.25 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 4.16/4.25 relation_dom(empty_set)=empty_set.
% 4.16/4.25 relation_rng(empty_set)=empty_set.
% 4.16/4.25 all A B (-(subset(A,B)&proper_subset(B,A))).
% 4.16/4.25 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 4.16/4.25 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 4.16/4.25 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 4.16/4.25 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 4.16/4.25 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 4.16/4.25 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))))))).
% 4.16/4.25 all A (unordered_pair(A,A)=singleton(A)).
% 4.16/4.25 all A (empty(A)->A=empty_set).
% 4.16/4.25 all A B (subset(singleton(A),singleton(B))->A=B).
% 4.16/4.25 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))).
% 4.16/4.25 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 4.16/4.25 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 4.16/4.25 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))).
% 4.16/4.25 all A B (-(in(A,B)&empty(B))).
% 4.16/4.25 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 4.16/4.25 all A B subset(A,set_union2(A,B)).
% 4.16/4.25 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 4.16/4.25 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 4.16/4.25 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 4.16/4.25 all A B (-(empty(A)&A!=B&empty(B))).
% 4.16/4.25 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 4.16/4.25 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 4.16/4.25 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 4.16/4.25 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 4.16/4.25 all A B (in(A,B)->subset(A,union(B))).
% 4.16/4.25 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 4.16/4.25 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 4.16/4.25 all A (union(powerset(A))=A).
% 4.16/4.25 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))))).
% 4.16/4.25 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 4.16/4.25 end_of_list.
% 4.16/4.25
% 4.16/4.25 -------> usable clausifies to:
% 4.16/4.25
% 4.16/4.25 list(usable).
% 4.16/4.25 0 [] A=A.
% 4.16/4.25 0 [] -in(A,B)| -in(B,A).
% 4.16/4.25 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 4.16/4.25 0 [] -empty(A)|function(A).
% 4.16/4.25 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.16/4.25 0 [] -ordinal(A)|epsilon_connected(A).
% 4.16/4.25 0 [] -empty(A)|relation(A).
% 4.16/4.25 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 4.16/4.25 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 4.16/4.25 0 [] -empty(A)|epsilon_transitive(A).
% 4.16/4.25 0 [] -empty(A)|epsilon_connected(A).
% 4.16/4.25 0 [] -empty(A)|ordinal(A).
% 4.16/4.25 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 4.16/4.25 0 [] set_union2(A,B)=set_union2(B,A).
% 4.16/4.25 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 4.16/4.25 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 4.16/4.25 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 4.16/4.25 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 4.16/4.25 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 4.16/4.25 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 4.16/4.25 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 4.16/4.25 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)!=$f1(A,B).
% 4.16/4.25 0 [] A!=B|subset(A,B).
% 4.16/4.25 0 [] A!=B|subset(B,A).
% 4.16/4.25 0 [] A=B| -subset(A,B)| -subset(B,A).
% 4.16/4.25 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 4.16/4.25 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 4.16/4.25 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 4.16/4.25 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 4.16/4.25 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).
% 4.16/4.25 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),$f3(A,B,C)),A).
% 4.16/4.25 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 4.16/4.26 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).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 4.16/4.26 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 4.16/4.26 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 4.16/4.26 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 4.16/4.26 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 4.16/4.26 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).
% 4.16/4.26 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),$f8(A,B,C)),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 4.16/4.26 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 4.16/4.26 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 4.16/4.26 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 4.16/4.26 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 4.16/4.26 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 4.16/4.26 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 4.16/4.26 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 4.16/4.26 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 4.16/4.26 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 4.16/4.26 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 4.16/4.26 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 4.16/4.26 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).
% 4.16/4.26 0 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 4.16/4.26 0 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 4.16/4.26 0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 4.16/4.26 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 4.16/4.26 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 4.16/4.26 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 4.16/4.26 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.
% 4.16/4.26 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 4.16/4.26 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 4.16/4.26 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 4.16/4.26 0 [] succ(A)=set_union2(A,singleton(A)).
% 4.16/4.26 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f19(A,B),$f18(A,B)).
% 4.16/4.26 0 [] relation(A)|in($f20(A),A).
% 4.16/4.26 0 [] relation(A)|$f20(A)!=ordered_pair(C,D).
% 4.16/4.26 0 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 4.16/4.26 0 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 4.16/4.26 0 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 4.16/4.26 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 4.16/4.26 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 4.16/4.26 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 4.16/4.26 0 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(X4,A)|in($f24(A,B),X4).
% 4.16/4.26 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 4.16/4.26 0 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 4.16/4.26 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 4.16/4.26 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 4.16/4.26 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 4.16/4.26 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 4.16/4.26 0 [] B=singleton(A)|in($f25(A,B),B)|$f25(A,B)=A.
% 4.16/4.26 0 [] B=singleton(A)| -in($f25(A,B),B)|$f25(A,B)!=A.
% 4.16/4.26 0 [] A!=empty_set| -in(B,A).
% 4.16/4.26 0 [] A=empty_set|in($f26(A),A).
% 4.16/4.26 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 4.16/4.26 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 4.16/4.26 0 [] B=powerset(A)|in($f27(A,B),B)|subset($f27(A,B),A).
% 4.16/4.26 0 [] B=powerset(A)| -in($f27(A,B),B)| -subset($f27(A,B),A).
% 4.16/4.26 0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 4.16/4.26 0 [] epsilon_transitive(A)|in($f28(A),A).
% 4.16/4.26 0 [] epsilon_transitive(A)| -subset($f28(A),A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.16/4.26 0 [] empty(A)| -element(B,A)|in(B,A).
% 4.16/4.26 0 [] empty(A)|element(B,A)| -in(B,A).
% 4.16/4.26 0 [] -empty(A)| -element(B,A)|empty(B).
% 4.16/4.26 0 [] -empty(A)|element(B,A)| -empty(B).
% 4.16/4.26 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 4.16/4.26 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 4.16/4.26 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 4.16/4.26 0 [] C=unordered_pair(A,B)|in($f31(A,B,C),C)|$f31(A,B,C)=A|$f31(A,B,C)=B.
% 4.16/4.26 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=A.
% 4.16/4.26 0 [] C=unordered_pair(A,B)| -in($f31(A,B,C),C)|$f31(A,B,C)!=B.
% 4.16/4.26 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 4.16/4.26 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 4.16/4.26 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 4.16/4.26 0 [] C=set_union2(A,B)|in($f32(A,B,C),C)|in($f32(A,B,C),A)|in($f32(A,B,C),B).
% 4.16/4.26 0 [] C=set_union2(A,B)| -in($f32(A,B,C),C)| -in($f32(A,B,C),A).
% 4.16/4.26 0 [] C=set_union2(A,B)| -in($f32(A,B,C),C)| -in($f32(A,B,C),B).
% 4.16/4.26 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f34(A,B,C,D),A).
% 4.16/4.26 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f33(A,B,C,D),B).
% 4.16/4.26 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f34(A,B,C,D),$f33(A,B,C,D)).
% 4.16/4.26 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 4.16/4.26 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|in($f36(A,B,C),A).
% 4.16/4.26 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|in($f35(A,B,C),B).
% 4.16/4.26 0 [] C=cartesian_product2(A,B)|in($f37(A,B,C),C)|$f37(A,B,C)=ordered_pair($f36(A,B,C),$f35(A,B,C)).
% 4.16/4.26 0 [] C=cartesian_product2(A,B)| -in($f37(A,B,C),C)| -in(X5,A)| -in(X6,B)|$f37(A,B,C)!=ordered_pair(X5,X6).
% 4.16/4.26 0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 4.16/4.26 0 [] epsilon_connected(A)|in($f39(A),A).
% 4.16/4.26 0 [] epsilon_connected(A)|in($f38(A),A).
% 4.16/4.26 0 [] epsilon_connected(A)| -in($f39(A),$f38(A)).
% 4.16/4.26 0 [] epsilon_connected(A)|$f39(A)!=$f38(A).
% 4.16/4.26 0 [] epsilon_connected(A)| -in($f38(A),$f39(A)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 4.16/4.26 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 4.16/4.26 0 [] subset(A,B)|in($f42(A,B),A).
% 4.16/4.26 0 [] subset(A,B)| -in($f42(A,B),B).
% 4.16/4.26 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 4.16/4.26 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 4.16/4.26 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 4.16/4.26 0 [] C=set_intersection2(A,B)|in($f43(A,B,C),C)|in($f43(A,B,C),A).
% 4.16/4.26 0 [] C=set_intersection2(A,B)|in($f43(A,B,C),C)|in($f43(A,B,C),B).
% 4.16/4.26 0 [] C=set_intersection2(A,B)| -in($f43(A,B,C),C)| -in($f43(A,B,C),A)| -in($f43(A,B,C),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 4.16/4.26 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 4.16/4.26 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 4.16/4.26 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.16/4.26 0 [] -ordinal(A)|epsilon_connected(A).
% 4.16/4.26 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 4.16/4.26 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f44(A,B,C)),A).
% 4.16/4.26 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 4.16/4.26 0 [] -relation(A)|B=relation_dom(A)|in($f46(A,B),B)|in(ordered_pair($f46(A,B),$f45(A,B)),A).
% 4.16/4.26 0 [] -relation(A)|B=relation_dom(A)| -in($f46(A,B),B)| -in(ordered_pair($f46(A,B),X7),A).
% 4.16/4.26 0 [] cast_to_subset(A)=A.
% 4.16/4.26 0 [] B!=union(A)| -in(C,B)|in(C,$f47(A,B,C)).
% 4.16/4.26 0 [] B!=union(A)| -in(C,B)|in($f47(A,B,C),A).
% 4.16/4.26 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 4.16/4.26 0 [] B=union(A)|in($f49(A,B),B)|in($f49(A,B),$f48(A,B)).
% 4.16/4.26 0 [] B=union(A)|in($f49(A,B),B)|in($f48(A,B),A).
% 4.16/4.26 0 [] B=union(A)| -in($f49(A,B),B)| -in($f49(A,B),X8)| -in(X8,A).
% 4.16/4.26 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 4.16/4.26 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 4.16/4.26 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 4.16/4.26 0 [] C=set_difference(A,B)|in($f50(A,B,C),C)|in($f50(A,B,C),A).
% 4.16/4.26 0 [] C=set_difference(A,B)|in($f50(A,B,C),C)| -in($f50(A,B,C),B).
% 4.16/4.26 0 [] C=set_difference(A,B)| -in($f50(A,B,C),C)| -in($f50(A,B,C),A)|in($f50(A,B,C),B).
% 4.16/4.26 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f51(A,B,C),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f51(A,B,C)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 4.16/4.26 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f53(A,B),B)|in($f52(A,B),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f53(A,B),B)|$f53(A,B)=apply(A,$f52(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f53(A,B),B)| -in(X9,relation_dom(A))|$f53(A,B)!=apply(A,X9).
% 4.16/4.26 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f54(A,B,C),C),A).
% 4.16/4.26 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 4.16/4.26 0 [] -relation(A)|B=relation_rng(A)|in($f56(A,B),B)|in(ordered_pair($f55(A,B),$f56(A,B)),A).
% 4.16/4.26 0 [] -relation(A)|B=relation_rng(A)| -in($f56(A,B),B)| -in(ordered_pair(X10,$f56(A,B)),A).
% 4.16/4.26 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 4.16/4.26 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 4.16/4.26 0 [] -being_limit_ordinal(A)|A=union(A).
% 4.16/4.26 0 [] being_limit_ordinal(A)|A!=union(A).
% 4.16/4.26 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f58(A,B),$f57(A,B)),B)|in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f58(A,B),$f57(A,B)),B)| -in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 4.16/4.26 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 4.16/4.26 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 4.16/4.26 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f60(A),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f59(A),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f60(A))=apply(A,$f59(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|one_to_one(A)|$f60(A)!=$f59(A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f61(A,B,C,D,E)),A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f61(A,B,C,D,E),E),B).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f64(A,B,C),$f63(A,B,C)),C)|in(ordered_pair($f64(A,B,C),$f62(A,B,C)),A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f64(A,B,C),$f63(A,B,C)),C)|in(ordered_pair($f62(A,B,C),$f63(A,B,C)),B).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f64(A,B,C),$f63(A,B,C)),C)| -in(ordered_pair($f64(A,B,C),X11),A)| -in(ordered_pair(X11,$f63(A,B,C)),B).
% 4.16/4.26 0 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 4.16/4.26 0 [] -relation(A)|is_transitive_in(A,B)|in($f67(A,B),B).
% 4.16/4.26 0 [] -relation(A)|is_transitive_in(A,B)|in($f66(A,B),B).
% 4.16/4.26 0 [] -relation(A)|is_transitive_in(A,B)|in($f65(A,B),B).
% 4.16/4.26 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f67(A,B),$f66(A,B)),A).
% 4.16/4.26 0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f66(A,B),$f65(A,B)),A).
% 4.16/4.26 0 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f67(A,B),$f65(A,B)),A).
% 4.16/4.26 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).
% 4.16/4.26 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).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f68(A,B,C),powerset(A)).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f68(A,B,C),C)|in(subset_complement(A,$f68(A,B,C)),B).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f68(A,B,C),C)| -in(subset_complement(A,$f68(A,B,C)),B).
% 4.16/4.26 0 [] -proper_subset(A,B)|subset(A,B).
% 4.16/4.26 0 [] -proper_subset(A,B)|A!=B.
% 4.16/4.26 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 4.16/4.26 0 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 4.16/4.26 0 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] element(cast_to_subset(A),powerset(A)).
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] -relation(A)|relation(relation_inverse(A)).
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 4.16/4.26 0 [] relation(identity_relation(A)).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 4.16/4.26 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 4.16/4.26 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 4.16/4.26 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] $T.
% 4.16/4.26 0 [] element($f69(A),A).
% 4.16/4.26 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 4.16/4.26 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 4.16/4.26 0 [] -empty(A)|empty(relation_inverse(A)).
% 4.16/4.26 0 [] -empty(A)|relation(relation_inverse(A)).
% 4.16/4.26 0 [] empty(empty_set).
% 4.16/4.26 0 [] relation(empty_set).
% 4.16/4.26 0 [] relation_empty_yielding(empty_set).
% 4.16/4.26 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 4.16/4.26 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 4.16/4.26 0 [] -empty(succ(A)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 4.16/4.26 0 [] -empty(powerset(A)).
% 4.16/4.26 0 [] empty(empty_set).
% 4.16/4.26 0 [] -empty(ordered_pair(A,B)).
% 4.16/4.26 0 [] relation(identity_relation(A)).
% 4.16/4.26 0 [] function(identity_relation(A)).
% 4.16/4.26 0 [] relation(empty_set).
% 4.16/4.26 0 [] relation_empty_yielding(empty_set).
% 4.16/4.26 0 [] function(empty_set).
% 4.16/4.26 0 [] one_to_one(empty_set).
% 4.16/4.26 0 [] empty(empty_set).
% 4.16/4.26 0 [] epsilon_transitive(empty_set).
% 4.16/4.26 0 [] epsilon_connected(empty_set).
% 4.16/4.26 0 [] ordinal(empty_set).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 4.16/4.26 0 [] -empty(singleton(A)).
% 4.16/4.26 0 [] empty(A)| -empty(set_union2(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 4.16/4.26 0 [] -ordinal(A)| -empty(succ(A)).
% 4.16/4.26 0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 4.16/4.26 0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 4.16/4.26 0 [] -ordinal(A)|ordinal(succ(A)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 4.16/4.26 0 [] -empty(unordered_pair(A,B)).
% 4.16/4.26 0 [] empty(A)| -empty(set_union2(B,A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 4.16/4.26 0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 4.16/4.26 0 [] -ordinal(A)|epsilon_connected(union(A)).
% 4.16/4.26 0 [] -ordinal(A)|ordinal(union(A)).
% 4.16/4.26 0 [] empty(empty_set).
% 4.16/4.26 0 [] relation(empty_set).
% 4.16/4.26 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 4.16/4.26 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 4.16/4.26 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 4.16/4.26 0 [] -empty(A)|empty(relation_dom(A)).
% 4.16/4.26 0 [] -empty(A)|relation(relation_dom(A)).
% 4.16/4.26 0 [] -empty(A)|empty(relation_rng(A)).
% 4.16/4.26 0 [] -empty(A)|relation(relation_rng(A)).
% 4.16/4.26 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 4.16/4.26 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.16/4.26 0 [] set_union2(A,A)=A.
% 4.16/4.26 0 [] set_intersection2(A,A)=A.
% 4.16/4.26 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 4.16/4.26 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 4.16/4.26 0 [] -proper_subset(A,A).
% 4.16/4.26 0 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 4.16/4.26 0 [] -relation(A)|reflexive(A)|in($f70(A),relation_field(A)).
% 4.16/4.26 0 [] -relation(A)|reflexive(A)| -in(ordered_pair($f70(A),$f70(A)),A).
% 4.16/4.26 0 [] singleton(A)!=empty_set.
% 4.16/4.26 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.16/4.26 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 4.16/4.26 0 [] in(A,B)|disjoint(singleton(A),B).
% 4.16/4.26 0 [] relation($c4).
% 4.16/4.26 0 [] transitive($c4)| -in(ordered_pair(B,C),$c4)| -in(ordered_pair(C,D),$c4)|in(ordered_pair(B,D),$c4).
% 4.16/4.26 0 [] -transitive($c4)|in(ordered_pair($c3,$c2),$c4).
% 4.16/4.26 0 [] -transitive($c4)|in(ordered_pair($c2,$c1),$c4).
% 4.16/4.26 0 [] -transitive($c4)| -in(ordered_pair($c3,$c1),$c4).
% 4.16/4.26 0 [] -subset(singleton(A),B)|in(A,B).
% 4.16/4.26 0 [] subset(singleton(A),B)| -in(A,B).
% 4.16/4.26 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.16/4.26 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.16/4.26 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 4.16/4.26 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 4.16/4.26 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.16/4.26 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.16/4.26 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.16/4.26 0 [] -in(A,B)|subset(A,union(B)).
% 4.16/4.26 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.16/4.26 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.16/4.26 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.16/4.26 0 [] in($f71(A,B),A)|element(A,powerset(B)).
% 4.16/4.26 0 [] -in($f71(A,B),B)|element(A,powerset(B)).
% 4.16/4.26 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 4.16/4.26 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 4.16/4.26 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 4.16/4.26 0 [] relation($c5).
% 4.16/4.26 0 [] function($c5).
% 4.16/4.26 0 [] epsilon_transitive($c6).
% 4.16/4.26 0 [] epsilon_connected($c6).
% 4.16/4.26 0 [] ordinal($c6).
% 4.16/4.26 0 [] empty($c7).
% 4.16/4.26 0 [] relation($c7).
% 4.16/4.26 0 [] empty(A)|element($f72(A),powerset(A)).
% 4.16/4.26 0 [] empty(A)| -empty($f72(A)).
% 4.16/4.26 0 [] empty($c8).
% 4.16/4.26 0 [] relation($c9).
% 4.16/4.26 0 [] empty($c9).
% 4.16/4.26 0 [] function($c9).
% 4.16/4.26 0 [] relation($c10).
% 4.16/4.26 0 [] function($c10).
% 4.16/4.26 0 [] one_to_one($c10).
% 4.16/4.26 0 [] empty($c10).
% 4.16/4.26 0 [] epsilon_transitive($c10).
% 4.16/4.26 0 [] epsilon_connected($c10).
% 4.16/4.26 0 [] ordinal($c10).
% 4.16/4.26 0 [] -empty($c11).
% 4.16/4.26 0 [] relation($c11).
% 4.16/4.26 0 [] element($f73(A),powerset(A)).
% 4.16/4.26 0 [] empty($f73(A)).
% 4.16/4.26 0 [] -empty($c12).
% 4.16/4.26 0 [] relation($c13).
% 4.16/4.26 0 [] function($c13).
% 4.16/4.26 0 [] one_to_one($c13).
% 4.16/4.26 0 [] -empty($c14).
% 4.16/4.26 0 [] epsilon_transitive($c14).
% 4.16/4.26 0 [] epsilon_connected($c14).
% 4.16/4.26 0 [] ordinal($c14).
% 4.16/4.26 0 [] relation($c15).
% 4.16/4.26 0 [] relation_empty_yielding($c15).
% 4.16/4.26 0 [] relation($c16).
% 4.16/4.26 0 [] relation_empty_yielding($c16).
% 4.16/4.26 0 [] function($c16).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 4.16/4.26 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 4.16/4.26 0 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 4.16/4.26 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 4.16/4.26 0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,A).
% 4.16/4.26 0 [] subset(A,A).
% 4.16/4.26 0 [] -disjoint(A,B)|disjoint(B,A).
% 4.16/4.26 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.16/4.26 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.16/4.26 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.16/4.26 0 [] in(A,succ(A)).
% 4.16/4.26 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 4.16/4.26 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 4.16/4.26 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 4.16/4.26 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 4.16/4.26 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 4.16/4.26 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 4.16/4.26 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 4.16/4.26 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 4.16/4.26 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 4.16/4.26 0 [] -subset(A,B)|set_union2(A,B)=B.
% 4.16/4.26 0 [] in(A,$f74(A)).
% 4.16/4.26 0 [] -in(C,$f74(A))| -subset(D,C)|in(D,$f74(A)).
% 4.16/4.26 0 [] -in(X12,$f74(A))|in(powerset(X12),$f74(A)).
% 4.16/4.26 0 [] -subset(X13,$f74(A))|are_e_quipotent(X13,$f74(A))|in(X13,$f74(A)).
% 4.16/4.26 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f75(A,B,C),relation_dom(C)).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f75(A,B,C),A),C).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f75(A,B,C),B).
% 4.16/4.26 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 4.16/4.26 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 4.16/4.26 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 4.16/4.26 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 4.16/4.26 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 4.16/4.26 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 4.16/4.26 0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 4.16/4.26 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f76(A,B,C),relation_rng(C)).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f76(A,B,C)),C).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f76(A,B,C),B).
% 4.16/4.26 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 4.16/4.26 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 4.16/4.26 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 4.16/4.26 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 4.16/4.26 0 [] subset(set_intersection2(A,B),A).
% 4.16/4.26 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 4.16/4.26 0 [] set_union2(A,empty_set)=A.
% 4.16/4.26 0 [] -in(A,B)|element(A,B).
% 4.16/4.26 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 4.16/4.26 0 [] powerset(empty_set)=singleton(empty_set).
% 4.16/4.26 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 4.16/4.26 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 4.16/4.26 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 4.16/4.26 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 4.16/4.26 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)).
% 4.16/4.26 0 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 4.16/4.26 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 4.16/4.26 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)).
% 4.16/4.26 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)).
% 4.16/4.26 0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 4.16/4.26 0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 4.16/4.26 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 4.16/4.26 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 4.16/4.26 0 [] set_intersection2(A,empty_set)=empty_set.
% 4.16/4.26 0 [] -element(A,B)|empty(B)|in(A,B).
% 4.16/4.26 0 [] in($f77(A,B),A)|in($f77(A,B),B)|A=B.
% 4.16/4.26 0 [] -in($f77(A,B),A)| -in($f77(A,B),B)|A=B.
% 4.16/4.26 0 [] subset(empty_set,A).
% 4.16/4.26 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 4.16/4.26 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 4.16/4.26 0 [] in($f78(A),A)|ordinal(A).
% 4.16/4.26 0 [] -ordinal($f78(A))| -subset($f78(A),A)|ordinal(A).
% 4.16/4.26 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|ordinal($f79(A,B)).
% 4.16/4.26 0 [] -ordinal(B)| -subset(A,B)|A=empty_set|in($f79(A,B),A).
% 4.16/4.26 0 [] -ordinal(B)| -subset(A,B)|A=empty_set| -ordinal(D)| -in(D,A)|ordinal_subset($f79(A,B),D).
% 4.16/4.26 0 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 4.16/4.26 0 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 4.16/4.26 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 4.16/4.26 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 4.16/4.26 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 4.16/4.26 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 4.16/4.26 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 4.16/4.26 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f80(A,B),A).
% 4.16/4.26 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f80(A,B))!=$f80(A,B).
% 4.16/4.26 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 4.16/4.26 0 [] subset(set_difference(A,B),A).
% 4.16/4.26 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 4.16/4.26 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 4.16/4.26 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.16/4.26 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.16/4.26 0 [] -subset(singleton(A),B)|in(A,B).
% 4.16/4.26 0 [] subset(singleton(A),B)| -in(A,B).
% 4.16/4.26 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 4.16/4.26 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 4.16/4.26 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 4.16/4.26 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.16/4.26 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.16/4.26 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.16/4.26 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.16/4.26 0 [] set_difference(A,empty_set)=A.
% 4.16/4.26 0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 4.16/4.26 0 [] -element(A,powerset(B))|subset(A,B).
% 4.16/4.26 0 [] element(A,powerset(B))| -subset(A,B).
% 4.16/4.26 0 [] disjoint(A,B)|in($f81(A,B),A).
% 4.16/4.26 0 [] disjoint(A,B)|in($f81(A,B),B).
% 4.16/4.26 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 4.16/4.26 0 [] -subset(A,empty_set)|A=empty_set.
% 4.16/4.26 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.16/4.26 0 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 4.16/4.26 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f82(A)).
% 4.16/4.26 0 [] -ordinal(A)|being_limit_ordinal(A)|in($f82(A),A).
% 4.16/4.26 0 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f82(A)),A).
% 4.16/4.26 0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f83(A)).
% 4.16/4.26 0 [] -ordinal(A)|being_limit_ordinal(A)|A=succ($f83(A)).
% 4.16/4.26 0 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 4.16/4.26 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 4.16/4.26 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 4.16/4.26 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 4.16/4.26 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.16/4.26 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 4.16/4.26 0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 4.16/4.26 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 4.16/4.26 0 [] set_difference(empty_set,A)=empty_set.
% 4.16/4.26 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 4.16/4.26 0 [] disjoint(A,B)|in($f84(A,B),set_intersection2(A,B)).
% 4.16/4.26 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 4.16/4.26 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 4.16/4.26 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)).
% 4.16/4.26 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).
% 4.16/4.26 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)).
% 4.16/4.26 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).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f86(A,B),relation_rng(A))|in($f85(A,B),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f86(A,B),relation_rng(A))|$f86(A,B)=apply(A,$f85(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f85(A,B)=apply(B,$f86(A,B))|in($f85(A,B),relation_dom(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f85(A,B)=apply(B,$f86(A,B))|$f86(A,B)=apply(A,$f85(A,B)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f85(A,B),relation_dom(A))|$f86(A,B)!=apply(A,$f85(A,B))| -in($f86(A,B),relation_rng(A))|$f85(A,B)!=apply(B,$f86(A,B)).
% 4.16/4.26 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 4.16/4.26 0 [] -relation(A)|in(ordered_pair($f88(A),$f87(A)),A)|A=empty_set.
% 4.16/4.26 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 4.16/4.26 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 4.16/4.26 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 4.16/4.26 0 [] relation_dom(empty_set)=empty_set.
% 4.16/4.26 0 [] relation_rng(empty_set)=empty_set.
% 4.16/4.26 0 [] -subset(A,B)| -proper_subset(B,A).
% 4.16/4.26 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 4.16/4.26 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 4.16/4.26 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 4.16/4.26 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 4.16/4.26 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 4.16/4.26 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 4.16/4.26 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 4.16/4.26 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 4.16/4.26 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 4.16/4.26 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).
% 4.16/4.26 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($f89(A,B,C),relation_dom(B)).
% 4.16/4.26 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|apply(B,$f89(A,B,C))!=apply(C,$f89(A,B,C)).
% 4.16/4.26 0 [] unordered_pair(A,A)=singleton(A).
% 4.16/4.26 0 [] -empty(A)|A=empty_set.
% 4.16/4.26 0 [] -subset(singleton(A),singleton(B))|A=B.
% 4.16/4.26 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 4.16/4.26 0 [] relation_dom(identity_relation(A))=A.
% 4.16/4.26 0 [] relation_rng(identity_relation(A))=A.
% 4.16/4.26 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 4.16/4.26 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 4.16/4.26 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 4.16/4.26 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 4.16/4.26 0 [] -in(A,B)| -empty(B).
% 4.16/4.26 0 [] -in(A,B)|in($f90(A,B),B).
% 4.16/4.26 0 [] -in(A,B)| -in(D,B)| -in(D,$f90(A,B)).
% 4.16/4.26 0 [] subset(A,set_union2(A,B)).
% 4.16/4.26 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 4.16/4.26 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 4.16/4.26 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 4.16/4.26 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 4.16/4.26 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 4.16/4.26 0 [] -empty(A)|A=B| -empty(B).
% 4.16/4.26 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 4.16/4.26 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 4.16/4.26 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 4.16/4.26 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 4.16/4.26 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 4.16/4.26 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 4.16/4.26 0 [] -in(A,B)|subset(A,union(B)).
% 4.16/4.26 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 4.16/4.26 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 4.16/4.26 0 [] union(powerset(A))=A.
% 4.16/4.26 0 [] in(A,$f92(A)).
% 4.16/4.26 0 [] -in(C,$f92(A))| -subset(D,C)|in(D,$f92(A)).
% 4.16/4.26 0 [] -in(X14,$f92(A))|in($f91(A,X14),$f92(A)).
% 4.16/4.26 0 [] -in(X14,$f92(A))| -subset(E,X14)|in(E,$f91(A,X14)).
% 4.16/4.26 0 [] -subset(X15,$f92(A))|are_e_quipotent(X15,$f92(A))|in(X15,$f92(A)).
% 4.16/4.26 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 4.16/4.26 end_of_list.
% 4.16/4.26
% 4.16/4.26 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 4.16/4.26
% 4.16/4.26 This ia a non-Horn set with equality. The strategy will be
% 4.16/4.26 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 4.16/4.26 deletion, with positive clauses in sos and nonpositive
% 4.16/4.26 clauses in usable.
% 4.16/4.26
% 4.16/4.26 dependent: set(knuth_bendix).
% 4.16/4.26 dependent: set(anl_eq).
% 4.16/4.26 dependent: set(para_from).
% 4.16/4.26 dependent: set(para_into).
% 4.16/4.26 dependent: clear(para_from_right).
% 4.16/4.26 dependent: clear(para_into_right).
% 4.16/4.26 dependent: set(para_from_vars).
% 4.16/4.26 dependent: set(eq_units_both_ways).
% 4.16/4.26 dependent: set(dynamic_demod_all).
% 4.16/4.26 dependent: set(dynamic_demod).
% 4.16/4.26 dependent: set(order_eq).
% 4.16/4.26 dependent: set(back_demod).
% 4.16/4.26 dependent: set(lrpo).
% 4.16/4.26 dependent: set(hyper_res).
% 4.16/4.26 dependent: set(unit_deletion).
% 4.16/4.26 dependent: set(factor).
% 4.16/4.26
% 4.16/4.26 ------------> process usable:
% 4.16/4.26 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 4.16/4.26 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 4.16/4.26 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 4.16/4.26 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_transitive(A).
% 4.16/4.26 ** KEPT (pick-wt=4): 5 [] -ordinal(A)|epsilon_connected(A).
% 4.16/4.26 ** KEPT (pick-wt=4): 6 [] -empty(A)|relation(A).
% 4.16/4.26 ** KEPT (pick-wt=8): 7 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 4.16/4.26 ** KEPT (pick-wt=6): 8 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 4.16/4.26 ** KEPT (pick-wt=4): 9 [] -empty(A)|epsilon_transitive(A).
% 4.16/4.26 ** KEPT (pick-wt=4): 10 [] -empty(A)|epsilon_connected(A).
% 4.16/4.26 ** KEPT (pick-wt=4): 11 [] -empty(A)|ordinal(A).
% 4.16/4.26 ** KEPT (pick-wt=10): 12 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 4.16/4.26 ** KEPT (pick-wt=14): 13 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 4.16/4.26 ** KEPT (pick-wt=14): 14 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 4.16/4.26 ** KEPT (pick-wt=17): 15 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 4.16/4.26 ** KEPT (pick-wt=20): 16 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 4.16/4.26 ** KEPT (pick-wt=22): 17 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 4.16/4.26 ** KEPT (pick-wt=27): 18 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 4.16/4.26 ** KEPT (pick-wt=6): 19 [] A!=B|subset(A,B).
% 4.16/4.26 ** KEPT (pick-wt=6): 20 [] A!=B|subset(B,A).
% 4.16/4.26 ** KEPT (pick-wt=9): 21 [] A=B| -subset(A,B)| -subset(B,A).
% 4.16/4.26 ** KEPT (pick-wt=17): 22 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 4.16/4.26 ** 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).
% 4.16/4.26 ** 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).
% 4.16/4.26 ** 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($f4(A,C,B),C).
% 4.16/4.26 ** KEPT (pick-wt=31): 26 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 4.16/4.26 ** KEPT (pick-wt=37): 27 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($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).
% 4.16/4.26 ** KEPT (pick-wt=20): 28 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 4.16/4.26 ** KEPT (pick-wt=19): 29 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 4.16/4.26 ** KEPT (pick-wt=21): 31 [copy,30,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 4.16/4.26 ** KEPT (pick-wt=24): 32 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 4.16/4.26 ** KEPT (pick-wt=22): 33 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 4.16/4.26 ** KEPT (pick-wt=21): 34 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 4.16/4.26 ** KEPT (pick-wt=26): 36 [copy,35,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 4.16/4.26 ** 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).
% 4.16/4.26 ** KEPT (pick-wt=17): 38 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 4.16/4.26 ** 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).
% 4.16/4.26 ** 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).
% 4.16/4.26 ** 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($f8(C,A,B),C).
% 4.16/4.26 ** KEPT (pick-wt=31): 42 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 4.16/4.26 ** KEPT (pick-wt=37): 43 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($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).
% 4.16/4.26 ** KEPT (pick-wt=16): 44 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 4.16/4.26 ** KEPT (pick-wt=17): 45 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 4.16/4.26 ** KEPT (pick-wt=21): 46 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 4.16/4.26 ** KEPT (pick-wt=22): 47 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 4.16/4.26 ** KEPT (pick-wt=23): 48 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 4.16/4.26 ** KEPT (pick-wt=30): 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))| -in(apply(A,$f10(A,C,B)),C).
% 4.16/4.26 ** KEPT (pick-wt=19): 50 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 4.16/4.26 ** KEPT (pick-wt=17): 51 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 4.16/4.26 ** KEPT (pick-wt=18): 52 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 4.16/4.26 ** KEPT (pick-wt=24): 53 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 4.16/4.26 ** KEPT (pick-wt=19): 54 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 4.16/4.26 ** KEPT (pick-wt=24): 55 [] -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).
% 4.16/4.26 ** KEPT (pick-wt=19): 56 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 4.16/4.26 ** KEPT (pick-wt=17): 57 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 4.16/4.26 ** KEPT (pick-wt=18): 58 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 4.16/4.26 ** KEPT (pick-wt=24): 59 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 4.16/4.26 ** KEPT (pick-wt=19): 60 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 4.16/4.26 ** KEPT (pick-wt=24): 61 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f16(A,C,B),B)| -in(ordered_pair($f16(A,C,B),D),A)| -in(D,C).
% 4.16/4.26 ** KEPT (pick-wt=8): 62 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 4.16/4.26 ** KEPT (pick-wt=8): 63 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 4.16/4.26 ** KEPT (pick-wt=18): 64 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 4.16/4.26 ** KEPT (pick-wt=12): 65 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 4.16/4.26 ** KEPT (pick-wt=12): 66 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 4.16/4.26 ** KEPT (pick-wt=12): 67 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 4.16/4.26 ** KEPT (pick-wt=20): 68 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 4.16/4.26 ** KEPT (pick-wt=20): 69 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 4.16/4.26 ** KEPT (pick-wt=20): 70 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 4.16/4.26 ** KEPT (pick-wt=14): 72 [copy,71,flip.3] -relation(A)| -in(B,A)|ordered_pair($f19(A,B),$f18(A,B))=B.
% 4.16/4.26 ** KEPT (pick-wt=8): 73 [] relation(A)|$f20(A)!=ordered_pair(B,C).
% 4.16/4.26 ** KEPT (pick-wt=13): 74 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 4.16/4.26 ** KEPT (pick-wt=10): 75 [] -relation(A)|is_reflexive_in(A,B)|in($f21(A,B),B).
% 4.16/4.26 ** KEPT (pick-wt=14): 76 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f21(A,B),$f21(A,B)),A).
% 4.16/4.26 ** KEPT (pick-wt=16): 77 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 4.16/4.26 ** KEPT (pick-wt=16): 78 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f22(A,B,C),A).
% 4.16/4.26 ** KEPT (pick-wt=16): 79 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f22(A,B,C)).
% 4.16/4.26 ** KEPT (pick-wt=20): 80 [] A=empty_set|B=set_meet(A)|in($f24(A,B),B)| -in(C,A)|in($f24(A,B),C).
% 4.16/4.26 ** KEPT (pick-wt=17): 81 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)|in($f23(A,B),A).
% 4.16/4.26 ** KEPT (pick-wt=19): 82 [] A=empty_set|B=set_meet(A)| -in($f24(A,B),B)| -in($f24(A,B),$f23(A,B)).
% 4.16/4.26 ** KEPT (pick-wt=10): 83 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 4.16/4.26 ** KEPT (pick-wt=10): 84 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 4.16/4.26 ** KEPT (pick-wt=10): 85 [] A!=singleton(B)| -in(C,A)|C=B.
% 4.16/4.26 ** KEPT (pick-wt=10): 86 [] A!=singleton(B)|in(C,A)|C!=B.
% 4.16/4.26 ** KEPT (pick-wt=14): 87 [] A=singleton(B)| -in($f25(B,A),A)|$f25(B,A)!=B.
% 4.16/4.26 ** KEPT (pick-wt=6): 88 [] A!=empty_set| -in(B,A).
% 4.16/4.26 ** KEPT (pick-wt=10): 89 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 4.16/4.26 ** KEPT (pick-wt=10): 90 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 4.16/4.26 ** KEPT (pick-wt=14): 91 [] A=powerset(B)| -in($f27(B,A),A)| -subset($f27(B,A),B).
% 4.16/4.26 ** KEPT (pick-wt=8): 92 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 4.16/4.26 ** KEPT (pick-wt=6): 93 [] epsilon_transitive(A)| -subset($f28(A),A).
% 4.16/4.26 ** KEPT (pick-wt=17): 94 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.16/4.26 ** KEPT (pick-wt=17): 95 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 4.16/4.26 ** KEPT (pick-wt=25): 96 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f30(A,B),$f29(A,B)),A)|in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.16/4.26 ** KEPT (pick-wt=25): 97 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f30(A,B),$f29(A,B)),A)| -in(ordered_pair($f30(A,B),$f29(A,B)),B).
% 4.16/4.26 ** KEPT (pick-wt=8): 98 [] empty(A)| -element(B,A)|in(B,A).
% 4.16/4.26 ** KEPT (pick-wt=8): 99 [] empty(A)|element(B,A)| -in(B,A).
% 4.16/4.26 ** KEPT (pick-wt=7): 100 [] -empty(A)| -element(B,A)|empty(B).
% 4.16/4.26 ** KEPT (pick-wt=7): 101 [] -empty(A)|element(B,A)| -empty(B).
% 4.16/4.26 ** KEPT (pick-wt=14): 102 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 4.16/4.26 ** KEPT (pick-wt=11): 103 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 4.16/4.26 ** KEPT (pick-wt=11): 104 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 4.16/4.26 ** KEPT (pick-wt=17): 105 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=B.
% 4.16/4.26 ** KEPT (pick-wt=17): 106 [] A=unordered_pair(B,C)| -in($f31(B,C,A),A)|$f31(B,C,A)!=C.
% 4.16/4.26 ** KEPT (pick-wt=14): 107 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 4.16/4.26 ** KEPT (pick-wt=11): 108 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 4.16/4.26 ** KEPT (pick-wt=11): 109 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 4.16/4.26 ** KEPT (pick-wt=17): 110 [] A=set_union2(B,C)| -in($f32(B,C,A),A)| -in($f32(B,C,A),B).
% 4.16/4.26 ** KEPT (pick-wt=17): 111 [] A=set_union2(B,C)| -in($f32(B,C,A),A)| -in($f32(B,C,A),C).
% 4.16/4.26 ** KEPT (pick-wt=15): 112 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f34(B,C,A,D),B).
% 4.16/4.26 ** KEPT (pick-wt=15): 113 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f33(B,C,A,D),C).
% 4.16/4.26 ** KEPT (pick-wt=21): 115 [copy,114,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f34(B,C,A,D),$f33(B,C,A,D))=D.
% 4.16/4.26 ** KEPT (pick-wt=19): 116 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 4.16/4.26 ** KEPT (pick-wt=25): 117 [] A=cartesian_product2(B,C)| -in($f37(B,C,A),A)| -in(D,B)| -in(E,C)|$f37(B,C,A)!=ordered_pair(D,E).
% 4.16/4.26 ** KEPT (pick-wt=17): 118 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 4.16/4.26 ** KEPT (pick-wt=7): 119 [] epsilon_connected(A)| -in($f39(A),$f38(A)).
% 4.16/4.27 ** KEPT (pick-wt=7): 120 [] epsilon_connected(A)|$f39(A)!=$f38(A).
% 4.16/4.27 ** KEPT (pick-wt=7): 121 [] epsilon_connected(A)| -in($f38(A),$f39(A)).
% 4.16/4.27 ** KEPT (pick-wt=17): 122 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 4.16/4.27 ** KEPT (pick-wt=16): 123 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=16): 124 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 4.16/4.27 ** KEPT (pick-wt=9): 125 [] -subset(A,B)| -in(C,A)|in(C,B).
% 4.16/4.27 ** KEPT (pick-wt=8): 126 [] subset(A,B)| -in($f42(A,B),B).
% 4.16/4.27 ** KEPT (pick-wt=11): 127 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 4.16/4.27 ** KEPT (pick-wt=11): 128 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 4.16/4.27 ** KEPT (pick-wt=14): 129 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 4.16/4.27 ** KEPT (pick-wt=23): 130 [] A=set_intersection2(B,C)| -in($f43(B,C,A),A)| -in($f43(B,C,A),B)| -in($f43(B,C,A),C).
% 4.16/4.27 ** KEPT (pick-wt=18): 131 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 4.16/4.27 ** KEPT (pick-wt=18): 132 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 4.16/4.27 ** KEPT (pick-wt=16): 133 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 4.16/4.27 ** KEPT (pick-wt=16): 134 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 4.16/4.27 Following clause subsumed by 4 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 4.16/4.27 Following clause subsumed by 5 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 4.16/4.27 Following clause subsumed by 8 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 4.16/4.27 ** KEPT (pick-wt=17): 135 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f44(A,B,C)),A).
% 4.16/4.27 ** KEPT (pick-wt=14): 136 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 4.16/4.27 ** KEPT (pick-wt=20): 137 [] -relation(A)|B=relation_dom(A)|in($f46(A,B),B)|in(ordered_pair($f46(A,B),$f45(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=18): 138 [] -relation(A)|B=relation_dom(A)| -in($f46(A,B),B)| -in(ordered_pair($f46(A,B),C),A).
% 4.16/4.27 ** KEPT (pick-wt=13): 139 [] A!=union(B)| -in(C,A)|in(C,$f47(B,A,C)).
% 4.16/4.27 ** KEPT (pick-wt=13): 140 [] A!=union(B)| -in(C,A)|in($f47(B,A,C),B).
% 4.16/4.27 ** KEPT (pick-wt=13): 141 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 4.16/4.27 ** KEPT (pick-wt=17): 142 [] A=union(B)| -in($f49(B,A),A)| -in($f49(B,A),C)| -in(C,B).
% 4.16/4.27 ** KEPT (pick-wt=11): 143 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 4.16/4.27 ** KEPT (pick-wt=11): 144 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 4.16/4.27 ** KEPT (pick-wt=14): 145 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 4.16/4.27 ** KEPT (pick-wt=17): 146 [] A=set_difference(B,C)|in($f50(B,C,A),A)| -in($f50(B,C,A),C).
% 4.16/4.27 ** KEPT (pick-wt=23): 147 [] A=set_difference(B,C)| -in($f50(B,C,A),A)| -in($f50(B,C,A),B)|in($f50(B,C,A),C).
% 4.16/4.27 ** KEPT (pick-wt=18): 148 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f51(A,B,C),relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=19): 150 [copy,149,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f51(A,B,C))=C.
% 4.16/4.27 ** KEPT (pick-wt=20): 151 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 4.16/4.27 ** KEPT (pick-wt=19): 152 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f53(A,B),B)|in($f52(A,B),relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=22): 154 [copy,153,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f53(A,B),B)|apply(A,$f52(A,B))=$f53(A,B).
% 4.16/4.27 ** KEPT (pick-wt=24): 155 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f53(A,B),B)| -in(C,relation_dom(A))|$f53(A,B)!=apply(A,C).
% 4.16/4.27 ** KEPT (pick-wt=17): 156 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f54(A,B,C),C),A).
% 4.16/4.27 ** KEPT (pick-wt=14): 157 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 4.16/4.27 ** KEPT (pick-wt=20): 158 [] -relation(A)|B=relation_rng(A)|in($f56(A,B),B)|in(ordered_pair($f55(A,B),$f56(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=18): 159 [] -relation(A)|B=relation_rng(A)| -in($f56(A,B),B)| -in(ordered_pair(C,$f56(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=11): 160 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 4.16/4.27 ** KEPT (pick-wt=6): 162 [copy,161,flip.2] -being_limit_ordinal(A)|union(A)=A.
% 4.16/4.27 ** KEPT (pick-wt=6): 164 [copy,163,flip.2] being_limit_ordinal(A)|union(A)!=A.
% 4.16/4.27 ** KEPT (pick-wt=10): 166 [copy,165,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 4.16/4.27 ** KEPT (pick-wt=18): 167 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 4.16/4.27 ** KEPT (pick-wt=18): 168 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 4.16/4.27 ** KEPT (pick-wt=26): 169 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f58(A,B),$f57(A,B)),B)|in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=26): 170 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f58(A,B),$f57(A,B)),B)| -in(ordered_pair($f57(A,B),$f58(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=8): 171 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 4.16/4.27 ** KEPT (pick-wt=8): 172 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 4.16/4.27 ** KEPT (pick-wt=24): 173 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 4.16/4.27 ** KEPT (pick-wt=11): 174 [] -relation(A)| -function(A)|one_to_one(A)|in($f60(A),relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=11): 175 [] -relation(A)| -function(A)|one_to_one(A)|in($f59(A),relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=15): 176 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f60(A))=apply(A,$f59(A)).
% 4.16/4.27 ** KEPT (pick-wt=11): 177 [] -relation(A)| -function(A)|one_to_one(A)|$f60(A)!=$f59(A).
% 4.16/4.27 ** KEPT (pick-wt=26): 178 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f61(A,B,C,D,E)),A).
% 4.16/4.27 ** KEPT (pick-wt=26): 179 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f61(A,B,C,D,E),E),B).
% 4.16/4.27 ** KEPT (pick-wt=26): 180 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 4.16/4.27 ** KEPT (pick-wt=33): 181 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f64(A,B,C),$f63(A,B,C)),C)|in(ordered_pair($f64(A,B,C),$f62(A,B,C)),A).
% 4.16/4.27 ** KEPT (pick-wt=33): 182 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f64(A,B,C),$f63(A,B,C)),C)|in(ordered_pair($f62(A,B,C),$f63(A,B,C)),B).
% 4.16/4.27 ** KEPT (pick-wt=38): 183 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f64(A,B,C),$f63(A,B,C)),C)| -in(ordered_pair($f64(A,B,C),D),A)| -in(ordered_pair(D,$f63(A,B,C)),B).
% 4.16/4.27 ** KEPT (pick-wt=29): 184 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 4.16/4.27 ** KEPT (pick-wt=10): 185 [] -relation(A)|is_transitive_in(A,B)|in($f67(A,B),B).
% 4.16/4.27 ** KEPT (pick-wt=10): 186 [] -relation(A)|is_transitive_in(A,B)|in($f66(A,B),B).
% 4.16/4.27 ** KEPT (pick-wt=10): 187 [] -relation(A)|is_transitive_in(A,B)|in($f65(A,B),B).
% 4.16/4.27 ** KEPT (pick-wt=14): 188 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f67(A,B),$f66(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=14): 189 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f66(A,B),$f65(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=14): 190 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f67(A,B),$f65(A,B)),A).
% 4.16/4.27 ** KEPT (pick-wt=27): 191 [] -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).
% 4.16/4.27 ** KEPT (pick-wt=27): 192 [] -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).
% 4.16/4.27 ** KEPT (pick-wt=22): 193 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f68(B,A,C),powerset(B)).
% 4.16/4.27 ** KEPT (pick-wt=29): 194 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f68(B,A,C),C)|in(subset_complement(B,$f68(B,A,C)),A).
% 4.16/4.27 ** KEPT (pick-wt=29): 195 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f68(B,A,C),C)| -in(subset_complement(B,$f68(B,A,C)),A).
% 4.16/4.27 ** KEPT (pick-wt=6): 196 [] -proper_subset(A,B)|subset(A,B).
% 4.16/4.27 ** KEPT (pick-wt=6): 197 [] -proper_subset(A,B)|A!=B.
% 4.16/4.27 ** KEPT (pick-wt=9): 198 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 4.16/4.27 ** KEPT (pick-wt=11): 200 [copy,199,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 4.16/4.27 ** KEPT (pick-wt=8): 201 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 202 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 4.16/4.27 ** KEPT (pick-wt=7): 203 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 4.16/4.27 ** KEPT (pick-wt=7): 204 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 4.16/4.27 ** KEPT (pick-wt=10): 205 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 4.16/4.27 ** KEPT (pick-wt=5): 206 [] -relation(A)|relation(relation_inverse(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 207 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=11): 208 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 4.16/4.27 ** KEPT (pick-wt=11): 209 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 4.16/4.27 ** KEPT (pick-wt=15): 210 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 4.16/4.27 ** KEPT (pick-wt=6): 211 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=12): 212 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 4.16/4.27 ** KEPT (pick-wt=6): 213 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 214 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 215 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 216 [] -empty(A)|empty(relation_inverse(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 217 [] -empty(A)|relation(relation_inverse(A)).
% 4.16/4.27 Following clause subsumed by 211 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=8): 218 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 4.16/4.27 Following clause subsumed by 207 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=12): 219 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=3): 220 [] -empty(succ(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 221 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=3): 222 [] -empty(powerset(A)).
% 4.16/4.27 ** KEPT (pick-wt=4): 223 [] -empty(ordered_pair(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=8): 224 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=3): 225 [] -empty(singleton(A)).
% 4.16/4.27 ** KEPT (pick-wt=6): 226 [] empty(A)| -empty(set_union2(A,B)).
% 4.16/4.27 Following clause subsumed by 206 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 4.16/4.27 ** KEPT (pick-wt=9): 227 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 4.16/4.27 Following clause subsumed by 220 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 228 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 229 [] -ordinal(A)|epsilon_connected(succ(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 230 [] -ordinal(A)|ordinal(succ(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 231 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=4): 232 [] -empty(unordered_pair(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=6): 233 [] empty(A)| -empty(set_union2(B,A)).
% 4.16/4.27 Following clause subsumed by 211 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=8): 234 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=5): 235 [] -ordinal(A)|epsilon_transitive(union(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 236 [] -ordinal(A)|epsilon_connected(union(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 237 [] -ordinal(A)|ordinal(union(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 238 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=7): 239 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=7): 240 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 241 [] -empty(A)|empty(relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 242 [] -empty(A)|relation(relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 243 [] -empty(A)|empty(relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=5): 244 [] -empty(A)|relation(relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 245 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=8): 246 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 4.16/4.27 ** KEPT (pick-wt=11): 247 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 4.16/4.27 ** KEPT (pick-wt=7): 248 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 4.16/4.27 ** KEPT (pick-wt=12): 249 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 4.16/4.27 ** KEPT (pick-wt=3): 250 [] -proper_subset(A,A).
% 4.16/4.27 ** KEPT (pick-wt=13): 251 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 4.16/4.27 ** KEPT (pick-wt=9): 252 [] -relation(A)|reflexive(A)|in($f70(A),relation_field(A)).
% 4.16/4.27 ** KEPT (pick-wt=11): 253 [] -relation(A)|reflexive(A)| -in(ordered_pair($f70(A),$f70(A)),A).
% 4.16/4.27 ** KEPT (pick-wt=4): 254 [] singleton(A)!=empty_set.
% 4.16/4.27 ** KEPT (pick-wt=9): 255 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.16/4.27 ** KEPT (pick-wt=7): 256 [] -disjoint(singleton(A),B)| -in(A,B).
% 4.16/4.27 ** KEPT (pick-wt=17): 257 [] transitive($c4)| -in(ordered_pair(A,B),$c4)| -in(ordered_pair(B,C),$c4)|in(ordered_pair(A,C),$c4).
% 4.16/4.27 ** KEPT (pick-wt=7): 258 [] -transitive($c4)|in(ordered_pair($c3,$c2),$c4).
% 4.16/4.27 ** KEPT (pick-wt=7): 259 [] -transitive($c4)|in(ordered_pair($c2,$c1),$c4).
% 4.16/4.27 ** KEPT (pick-wt=7): 260 [] -transitive($c4)| -in(ordered_pair($c3,$c1),$c4).
% 4.16/4.27 ** KEPT (pick-wt=7): 261 [] -subset(singleton(A),B)|in(A,B).
% 4.16/4.27 ** KEPT (pick-wt=7): 262 [] subset(singleton(A),B)| -in(A,B).
% 4.16/4.27 ** KEPT (pick-wt=8): 263 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.16/4.27 ** KEPT (pick-wt=8): 264 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.16/4.27 ** KEPT (pick-wt=10): 265 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 4.16/4.27 ** KEPT (pick-wt=12): 266 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 4.16/4.27 ** KEPT (pick-wt=11): 267 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.16/4.27 ** KEPT (pick-wt=7): 268 [] subset(A,singleton(B))|A!=empty_set.
% 4.16/4.27 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.16/4.27 ** KEPT (pick-wt=7): 269 [] -in(A,B)|subset(A,union(B)).
% 4.16/4.27 ** KEPT (pick-wt=10): 270 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.16/4.27 ** KEPT (pick-wt=10): 271 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.16/4.27 ** KEPT (pick-wt=13): 272 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.16/4.27 ** KEPT (pick-wt=9): 273 [] -in($f71(A,B),B)|element(A,powerset(B)).
% 4.16/4.27 ** KEPT (pick-wt=14): 274 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=13): 275 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 4.16/4.27 ** KEPT (pick-wt=17): 276 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 4.16/4.27 ** KEPT (pick-wt=5): 277 [] empty(A)| -empty($f72(A)).
% 4.16/4.27 ** KEPT (pick-wt=2): 278 [] -empty($c11).
% 4.16/4.27 ** KEPT (pick-wt=2): 279 [] -empty($c12).
% 4.16/4.27 ** KEPT (pick-wt=2): 280 [] -empty($c14).
% 4.16/4.27 ** KEPT (pick-wt=11): 281 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 4.16/4.27 ** KEPT (pick-wt=11): 282 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 4.16/4.27 ** KEPT (pick-wt=16): 283 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 4.16/4.27 ** KEPT (pick-wt=10): 284 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 4.16/4.27 ** KEPT (pick-wt=10): 285 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 4.16/4.27 ** KEPT (pick-wt=5): 287 [copy,286,factor_simp] -ordinal(A)|ordinal_subset(A,A).
% 4.16/4.27 ** KEPT (pick-wt=6): 288 [] -disjoint(A,B)|disjoint(B,A).
% 4.16/4.27 Following clause subsumed by 270 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 4.16/4.27 Following clause subsumed by 271 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 4.16/4.27 Following clause subsumed by 272 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 4.16/4.27 ** KEPT (pick-wt=13): 289 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 4.16/4.27 ** KEPT (pick-wt=11): 290 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 4.16/4.27 ** KEPT (pick-wt=12): 291 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=15): 292 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 293 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 4.16/4.27 ** KEPT (pick-wt=7): 294 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 4.16/4.27 ** KEPT (pick-wt=9): 295 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=10): 296 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 4.16/4.27 ** KEPT (pick-wt=10): 297 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 4.16/4.27 ** KEPT (pick-wt=11): 298 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 4.16/4.27 ** KEPT (pick-wt=13): 299 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 4.16/4.27 ** KEPT (pick-wt=8): 300 [] -subset(A,B)|set_union2(A,B)=B.
% 4.16/4.27 ** KEPT (pick-wt=11): 301 [] -in(A,$f74(B))| -subset(C,A)|in(C,$f74(B)).
% 4.16/4.27 ** KEPT (pick-wt=9): 302 [] -in(A,$f74(B))|in(powerset(A),$f74(B)).
% 4.16/4.27 ** KEPT (pick-wt=12): 303 [] -subset(A,$f74(B))|are_e_quipotent(A,$f74(B))|in(A,$f74(B)).
% 4.16/4.27 ** KEPT (pick-wt=13): 305 [copy,304,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 4.16/4.27 ** KEPT (pick-wt=14): 306 [] -relation(A)| -in(B,relation_image(A,C))|in($f75(B,C,A),relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=15): 307 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f75(B,C,A),B),A).
% 4.16/4.27 ** KEPT (pick-wt=13): 308 [] -relation(A)| -in(B,relation_image(A,C))|in($f75(B,C,A),C).
% 4.16/4.27 ** KEPT (pick-wt=19): 309 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 4.16/4.27 ** KEPT (pick-wt=8): 310 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=11): 311 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 4.16/4.27 ** KEPT (pick-wt=12): 313 [copy,312,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 4.16/4.27 ** KEPT (pick-wt=13): 314 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 4.16/4.27 ** KEPT (pick-wt=9): 316 [copy,315,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=15): 317 [] -relation(A)| -function(A)| -subset(B,relation_rng(A))|relation_image(A,relation_inverse_image(A,B))=B.
% 4.16/4.27 ** KEPT (pick-wt=13): 318 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=14): 319 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f76(B,C,A),relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=15): 320 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f76(B,C,A)),A).
% 4.16/4.27 ** KEPT (pick-wt=13): 321 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f76(B,C,A),C).
% 4.16/4.27 ** KEPT (pick-wt=19): 322 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 4.16/4.27 ** KEPT (pick-wt=8): 323 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=14): 324 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 4.16/4.27 ** KEPT (pick-wt=12): 325 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 4.16/4.27 ** KEPT (pick-wt=11): 326 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 4.16/4.27 ** KEPT (pick-wt=6): 327 [] -in(A,B)|element(A,B).
% 4.16/4.27 ** KEPT (pick-wt=9): 328 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 4.16/4.27 ** KEPT (pick-wt=11): 329 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=11): 330 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 4.16/4.27 ** KEPT (pick-wt=18): 331 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 4.16/4.27 ** KEPT (pick-wt=20): 332 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 4.16/4.27 ** KEPT (pick-wt=24): 333 [] -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)).
% 4.16/4.27 ** KEPT (pick-wt=10): 334 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 4.16/4.27 ** KEPT (pick-wt=9): 335 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 4.16/4.27 ** KEPT (pick-wt=25): 336 [] -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)).
% 4.16/4.27 ** KEPT (pick-wt=23): 337 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 4.16/4.27 ** KEPT (pick-wt=7): 338 [] -ordinal(A)| -in(B,A)|ordinal(B).
% 4.16/4.27 ** KEPT (pick-wt=13): 339 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 4.16/4.27 ** KEPT (pick-wt=12): 340 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 4.16/4.27 ** KEPT (pick-wt=12): 341 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 4.16/4.27 ** KEPT (pick-wt=10): 342 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 4.16/4.27 ** KEPT (pick-wt=8): 343 [] -subset(A,B)|set_intersection2(A,B)=A.
% 4.16/4.27 Following clause subsumed by 98 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 4.16/4.27 ** KEPT (pick-wt=13): 344 [] -in($f77(A,B),A)| -in($f77(A,B),B)|A=B.
% 4.16/4.27 ** KEPT (pick-wt=11): 345 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 4.16/4.27 ** KEPT (pick-wt=11): 346 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 4.16/4.27 ** KEPT (pick-wt=9): 347 [] -ordinal($f78(A))| -subset($f78(A),A)|ordinal(A).
% 4.16/4.27 ** KEPT (pick-wt=12): 348 [] -ordinal(A)| -subset(B,A)|B=empty_set|ordinal($f79(B,A)).
% 4.16/4.27 ** KEPT (pick-wt=13): 349 [] -ordinal(A)| -subset(B,A)|B=empty_set|in($f79(B,A),B).
% 4.16/4.27 ** KEPT (pick-wt=18): 350 [] -ordinal(A)| -subset(B,A)|B=empty_set| -ordinal(C)| -in(C,B)|ordinal_subset($f79(B,A),C).
% 4.16/4.27 ** KEPT (pick-wt=11): 351 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 4.16/4.27 ** KEPT (pick-wt=11): 352 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 4.16/4.27 ** KEPT (pick-wt=10): 353 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 4.16/4.27 ** KEPT (pick-wt=10): 354 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 4.16/4.27 ** KEPT (pick-wt=10): 355 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 4.16/4.27 ** KEPT (pick-wt=12): 356 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 4.16/4.27 ** KEPT (pick-wt=16): 357 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 4.16/4.27 ** KEPT (pick-wt=17): 358 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f80(B,A),B).
% 4.16/4.27 ** KEPT (pick-wt=21): 359 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f80(B,A))!=$f80(B,A).
% 4.16/4.27 ** KEPT (pick-wt=9): 360 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 4.16/4.27 ** KEPT (pick-wt=8): 361 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 4.16/4.27 ** KEPT (pick-wt=8): 363 [copy,362,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 4.16/4.27 Following clause subsumed by 263 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 4.16/4.27 Following clause subsumed by 264 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 4.16/4.28 Following clause subsumed by 261 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 4.16/4.28 Following clause subsumed by 262 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 4.16/4.28 ** KEPT (pick-wt=8): 364 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 4.16/4.28 ** KEPT (pick-wt=8): 365 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 4.16/4.28 ** KEPT (pick-wt=11): 366 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 4.16/4.28 Following clause subsumed by 267 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 4.16/4.28 Following clause subsumed by 268 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 4.16/4.28 Following clause subsumed by 19 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 4.16/4.28 ** KEPT (pick-wt=9): 367 [] -in(A,B)| -in(B,C)| -in(C,A).
% 4.16/4.28 ** KEPT (pick-wt=7): 368 [] -element(A,powerset(B))|subset(A,B).
% 4.16/4.28 ** KEPT (pick-wt=7): 369 [] element(A,powerset(B))| -subset(A,B).
% 4.16/4.28 ** KEPT (pick-wt=9): 370 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 4.16/4.28 ** KEPT (pick-wt=6): 371 [] -subset(A,empty_set)|A=empty_set.
% 4.16/4.28 ** KEPT (pick-wt=13): 372 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 4.16/4.28 ** KEPT (pick-wt=7): 373 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f82(A)).
% 4.16/4.28 ** KEPT (pick-wt=8): 374 [] -ordinal(A)|being_limit_ordinal(A)|in($f82(A),A).
% 4.16/4.28 ** KEPT (pick-wt=9): 375 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f82(A)),A).
% 4.16/4.28 ** KEPT (pick-wt=7): 376 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f83(A)).
% 4.16/4.28 ** KEPT (pick-wt=9): 378 [copy,377,flip.3] -ordinal(A)|being_limit_ordinal(A)|succ($f83(A))=A.
% 4.16/4.28 ** KEPT (pick-wt=10): 379 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 4.16/4.28 ** KEPT (pick-wt=16): 380 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 4.16/4.28 ** KEPT (pick-wt=16): 381 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 4.16/4.28 ** KEPT (pick-wt=11): 382 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 4.16/4.28 ** KEPT (pick-wt=11): 383 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 4.16/4.28 ** KEPT (pick-wt=10): 385 [copy,384,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 4.16/4.28 ** KEPT (pick-wt=16): 386 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 4.16/4.28 ** KEPT (pick-wt=13): 387 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 4.16/4.28 Following clause subsumed by 255 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 4.16/4.28 ** KEPT (pick-wt=16): 388 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 4.16/4.28 ** KEPT (pick-wt=21): 389 [] -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)).
% 4.16/4.28 ** KEPT (pick-wt=21): 390 [] -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)).
% 4.16/4.28 ** KEPT (pick-wt=10): 391 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 4.16/4.28 ** KEPT (pick-wt=8): 392 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 4.16/4.28 ** KEPT (pick-wt=18): 393 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 4.16/4.28 ** KEPT (pick-wt=19): 394 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 4.16/4.28 ** KEPT (pick-wt=27): 395 [] -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)).
% 4.16/4.28 ** KEPT (pick-wt=28): 396 [] -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).
% 4.16/4.28 ** KEPT (pick-wt=27): 397 [] -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)).
% 4.16/4.30 ** KEPT (pick-wt=28): 398 [] -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).
% 4.16/4.30 ** KEPT (pick-wt=31): 399 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f86(A,B),relation_rng(A))|in($f85(A,B),relation_dom(A)).
% 4.16/4.30 ** KEPT (pick-wt=34): 401 [copy,400,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f86(A,B),relation_rng(A))|apply(A,$f85(A,B))=$f86(A,B).
% 4.16/4.30 ** KEPT (pick-wt=34): 403 [copy,402,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,$f86(A,B))=$f85(A,B)|in($f85(A,B),relation_dom(A)).
% 4.16/4.30 ** KEPT (pick-wt=37): 405 [copy,404,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f86(A,B))=$f85(A,B)|apply(A,$f85(A,B))=$f86(A,B).
% 4.16/4.30 ** KEPT (pick-wt=49): 407 [copy,406,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f85(A,B),relation_dom(A))|apply(A,$f85(A,B))!=$f86(A,B)| -in($f86(A,B),relation_rng(A))|apply(B,$f86(A,B))!=$f85(A,B).
% 4.16/4.30 ** KEPT (pick-wt=12): 408 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 4.16/4.30 ** KEPT (pick-wt=12): 409 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 4.16/4.30 ** KEPT (pick-wt=12): 411 [copy,410,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 4.16/4.30 ** KEPT (pick-wt=12): 412 [] -relation(A)|in(ordered_pair($f88(A),$f87(A)),A)|A=empty_set.
% 4.16/4.30 ** KEPT (pick-wt=18): 414 [copy,413,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 4.16/4.30 ** KEPT (pick-wt=18): 416 [copy,415,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 4.16/4.30 ** KEPT (pick-wt=9): 417 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 4.16/4.30 ** KEPT (pick-wt=6): 418 [] -subset(A,B)| -proper_subset(B,A).
% 4.16/4.30 ** KEPT (pick-wt=9): 419 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 4.16/4.30 ** KEPT (pick-wt=9): 420 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 4.16/4.30 ** KEPT (pick-wt=9): 421 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 4.16/4.30 ** KEPT (pick-wt=9): 422 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 4.16/4.30 ** KEPT (pick-wt=10): 423 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 4.16/4.30 ** KEPT (pick-wt=10): 424 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 4.16/4.30 ** KEPT (pick-wt=9): 425 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 4.16/4.30 ** KEPT (pick-wt=20): 426 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 4.16/4.30 ** KEPT (pick-wt=24): 427 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)| -in(D,relation_dom(A))|apply(A,D)=apply(B,D).
% 4.16/4.30 ** KEPT (pick-wt=27): 428 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f89(C,A,B),relation_dom(A)).
% 4.16/4.30 ** KEPT (pick-wt=33): 429 [] -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,$f89(C,A,B))!=apply(B,$f89(C,A,B)).
% 4.16/4.30 ** KEPT (pick-wt=5): 430 [] -empty(A)|A=empty_set.
% 4.16/4.30 ** KEPT (pick-wt=8): 431 [] -subset(singleton(A),singleton(B))|A=B.
% 4.16/4.30 ** KEPT (pick-wt=19): 432 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 4.16/4.30 ** KEPT (pick-wt=16): 433 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 4.16/4.30 ** KEPT (pick-wt=13): 434 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 4.16/4.30 ** KEPT (pick-wt=15): 435 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 4.16/4.30 ** KEPT (pick-wt=18): 436 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 4.16/4.30 ** KEPT (pick-wt=5): 437 [] -in(A,B)| -empty(B).
% 4.16/4.30 ** KEPT (pick-wt=8): 438 [] -in(A,B)|in($f90(A,B),B).
% 4.16/4.30 ** KEPT (pick-wt=11): 439 [] -in(A,B)| -in(C,B)| -in(C,$f90(A,B)).
% 4.16/4.30 ** KEPT (pick-wt=8): 440 [] -disjoint(A,B)|set_difference(A,B)=A.
% 4.16/4.30 ** KEPT (pick-wt=8): 441 [] disjoint(A,B)|set_difference(A,B)!=A.
% 4.16/4.30 ** KEPT (pick-wt=11): 442 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 4.16/4.30 ** KEPT (pick-wt=12): 443 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 4.16/4.30 ** KEPT (pick-wt=15): 444 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 4.16/4.30 ** KEPT (pick-wt=7): 445 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 4.16/4.30 ** KEPT (pick-wt=7): 446 [] -empty(A)|A=B| -empty(B).
% 4.16/4.30 Following clause subsumed by 329 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 4.16/4.30 ** KEPT (pick-wt=14): 447 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 4.16/4.30 Following clause subsumed by 131 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 4.16/4.30 ** KEPT (pick-wt=11): 448 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 4.16/4.30 ** KEPT (pick-wt=9): 449 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 4.16/4.30 ** KEPT (pick-wt=11): 450 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 4.16/4.30 Following clause subsumed by 269 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 4.16/4.30 ** KEPT (pick-wt=10): 451 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 4.16/4.30 ** KEPT (pick-wt=9): 452 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 4.16/4.30 ** KEPT (pick-wt=11): 453 [] -in(A,$f92(B))| -subset(C,A)|in(C,$f92(B)).
% 4.16/4.30 ** KEPT (pick-wt=10): 454 [] -in(A,$f92(B))|in($f91(B,A),$f92(B)).
% 4.16/4.30 ** KEPT (pick-wt=12): 455 [] -in(A,$f92(B))| -subset(C,A)|in(C,$f91(B,A)).
% 4.16/4.30 ** KEPT (pick-wt=12): 456 [] -subset(A,$f92(B))|are_e_quipotent(A,$f92(B))|in(A,$f92(B)).
% 4.16/4.30 ** KEPT (pick-wt=9): 457 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 4.16/4.30 125 back subsumes 122.
% 4.16/4.30 327 back subsumes 99.
% 4.16/4.30 442 back subsumes 275.
% 4.16/4.30 443 back subsumes 274.
% 4.16/4.30 444 back subsumes 276.
% 4.16/4.30 447 back subsumes 132.
% 4.16/4.30 463 back subsumes 462.
% 4.16/4.30 471 back subsumes 470.
% 4.16/4.30
% 4.16/4.30 ------------> process sos:
% 4.16/4.30 ** KEPT (pick-wt=3): 606 [] A=A.
% 4.16/4.30 ** KEPT (pick-wt=7): 607 [] unordered_pair(A,B)=unordered_pair(B,A).
% 4.16/4.30 ** KEPT (pick-wt=7): 608 [] set_union2(A,B)=set_union2(B,A).
% 4.16/4.30 ** KEPT (pick-wt=7): 609 [] set_intersection2(A,B)=set_intersection2(B,A).
% 4.16/4.30 ** KEPT (pick-wt=34): 610 [] 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.
% 4.16/4.30 ** KEPT (pick-wt=7): 611 [] succ(A)=set_union2(A,singleton(A)).
% 4.16/4.30 ---> New Demodulator: 612 [new_demod,611] succ(A)=set_union2(A,singleton(A)).
% 4.16/4.30 ** KEPT (pick-wt=6): 613 [] relation(A)|in($f20(A),A).
% 4.16/4.30 ** KEPT (pick-wt=14): 614 [] A=singleton(B)|in($f25(B,A),A)|$f25(B,A)=B.
% 4.16/4.30 ** KEPT (pick-wt=7): 615 [] A=empty_set|in($f26(A),A).
% 4.16/4.30 ** KEPT (pick-wt=14): 616 [] A=powerset(B)|in($f27(B,A),A)|subset($f27(B,A),B).
% 4.16/4.30 ** KEPT (pick-wt=6): 617 [] epsilon_transitive(A)|in($f28(A),A).
% 4.16/4.30 ** KEPT (pick-wt=23): 618 [] A=unordered_pair(B,C)|in($f31(B,C,A),A)|$f31(B,C,A)=B|$f31(B,C,A)=C.
% 4.16/4.30 ** KEPT (pick-wt=23): 619 [] A=set_union2(B,C)|in($f32(B,C,A),A)|in($f32(B,C,A),B)|in($f32(B,C,A),C).
% 4.16/4.30 ** KEPT (pick-wt=17): 620 [] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|in($f36(B,C,A),B).
% 4.16/4.30 ** KEPT (pick-wt=17): 621 [] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|in($f35(B,C,A),C).
% 4.16/4.30 ** KEPT (pick-wt=25): 623 [copy,622,flip.3] A=cartesian_product2(B,C)|in($f37(B,C,A),A)|ordered_pair($f36(B,C,A),$f35(B,C,A))=$f37(B,C,A).
% 4.16/4.30 ** KEPT (pick-wt=6): 624 [] epsilon_connected(A)|in($f39(A),A).
% 4.16/4.30 ** KEPT (pick-wt=6): 625 [] epsilon_connected(A)|in($f38(A),A).
% 4.16/4.30 ** KEPT (pick-wt=8): 626 [] subset(A,B)|in($f42(A,B),A).
% 4.16/4.30 ** KEPT (pick-wt=17): 627 [] A=set_intersection2(B,C)|in($f43(B,C,A),A)|in($f43(B,C,A),B).
% 4.16/4.30 ** KEPT (pick-wt=17): 628 [] A=set_intersection2(B,C)|in($f43(B,C,A),A)|in($f43(B,C,A),C).
% 4.16/4.30 ** KEPT (pick-wt=4): 629 [] cast_to_subset(A)=A.
% 4.16/4.30 ---> New Demodulator: 630 [new_demod,629] cast_to_subset(A)=A.
% 4.16/4.30 ** KEPT (pick-wt=16): 631 [] A=union(B)|in($f49(B,A),A)|in($f49(B,A),$f48(B,A)).
% 4.16/4.30 ** KEPT (pick-wt=14): 632 [] A=union(B)|in($f49(B,A),A)|in($f48(B,A),B).
% 4.16/4.30 ** KEPT (pick-wt=17): 633 [] A=set_difference(B,C)|in($f50(B,C,A),A)|in($f50(B,C,A),B).
% 4.16/4.30 ** KEPT (pick-wt=10): 635 [copy,634,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 4.16/4.30 ---> New Demodulator: 636 [new_demod,635] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 4.16/4.30 ** KEPT (pick-wt=4): 638 [copy,637,demod,630] element(A,powerset(A)).
% 4.16/4.30 ** KEPT (pick-wt=3): 639 [] relation(identity_relation(A)).
% 4.16/4.30 ** KEPT (pick-wt=4): 640 [] element($f69(A),A).
% 4.16/4.30 ** KEPT (pick-wt=2): 641 [] empty(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=2): 642 [] relation(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=2): 643 [] relation_empty_yielding(empty_set).
% 4.16/4.30 Following clause subsumed by 641 during input processing: 0 [] empty(empty_set).
% 4.16/4.30 Following clause subsumed by 639 during input processing: 0 [] relation(identity_relation(A)).
% 4.16/4.30 ** KEPT (pick-wt=3): 644 [] function(identity_relation(A)).
% 4.16/4.30 Following clause subsumed by 642 during input processing: 0 [] relation(empty_set).
% 4.16/4.30 Following clause subsumed by 643 during input processing: 0 [] relation_empty_yielding(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=2): 645 [] function(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=2): 646 [] one_to_one(empty_set).
% 4.16/4.30 Following clause subsumed by 641 during input processing: 0 [] empty(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=2): 647 [] epsilon_transitive(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=2): 648 [] epsilon_connected(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=2): 649 [] ordinal(empty_set).
% 4.16/4.30 Following clause subsumed by 641 during input processing: 0 [] empty(empty_set).
% 4.16/4.30 Following clause subsumed by 642 during input processing: 0 [] relation(empty_set).
% 4.16/4.30 ** KEPT (pick-wt=5): 650 [] set_union2(A,A)=A.
% 4.16/4.30 ---> New Demodulator: 651 [new_demod,650] set_union2(A,A)=A.
% 4.16/4.30 ** KEPT (pick-wt=5): 652 [] set_intersection2(A,A)=A.
% 4.16/4.30 ---> New Demodulator: 653 [new_demod,652] set_intersection2(A,A)=A.
% 4.16/4.30 ** KEPT (pick-wt=7): 654 [] in(A,B)|disjoint(singleton(A),B).
% 4.16/4.30 ** KEPT (pick-wt=2): 655 [] relation($c4).
% 4.16/4.30 ** KEPT (pick-wt=9): 656 [] in($f71(A,B),A)|element(A,powerset(B)).
% 4.16/4.30 ** KEPT (pick-wt=2): 657 [] relation($c5).
% 4.16/4.30 ** KEPT (pick-wt=2): 658 [] function($c5).
% 4.16/4.30 ** KEPT (pick-wt=2): 659 [] epsilon_transitive($c6).
% 4.16/4.30 ** KEPT (pick-wt=2): 660 [] epsilon_connected($c6).
% 4.16/4.30 ** KEPT (pick-wt=2): 661 [] ordinal($c6).
% 4.16/4.30 ** KEPT (pick-wt=2): 662 [] empty($c7).
% 4.16/4.30 ** KEPT (pick-wt=2): 663 [] relation($c7).
% 4.16/4.30 ** KEPT (pick-wt=7): 664 [] empty(A)|element($f72(A),powerset(A)).
% 4.16/4.30 ** KEPT (pick-wt=2): 665 [] empty($c8).
% 4.16/4.30 ** KEPT (pick-wt=2): 666 [] relation($c9).
% 4.16/4.30 ** KEPT (pick-wt=2): 667 [] empty($c9).
% 4.16/4.30 ** KEPT (pick-wt=2): 668 [] function($c9).
% 4.16/4.30 ** KEPT (pick-wt=2): 669 [] relation($c10).
% 4.16/4.30 ** KEPT (pick-wt=2): 670 [] function($c10).
% 4.16/4.30 ** KEPT (pick-wt=2): 671 [] one_to_one($c10).
% 4.16/4.30 ** KEPT (pick-wt=2): 672 [] empty($c10).
% 4.16/4.30 ** KEPT (pick-wt=2): 673 [] epsilon_transitive($c10).
% 4.16/4.30 ** KEPT (pick-wt=2): 674 [] epsilon_connected($c10).
% 4.16/4.30 ** KEPT (pick-wt=2): 675 [] ordinal($c10).
% 4.16/4.30 ** KEPT (pick-wt=2): 676 [] relation($c11).
% 4.16/4.30 ** KEPT (pick-wt=5): 677 [] element($f73(A),powerset(A)).
% 4.16/4.30 ** KEPT (pick-wt=3): 678 [] empty($f73(A)).
% 4.16/4.30 ** KEPT (pick-wt=2): 679 [] relation($c13).
% 4.16/4.30 ** KEPT (pick-wt=2): 680 [] function($c13).
% 4.16/4.30 ** KEPT (pick-wt=2): 681 [] one_to_one($c13).
% 4.16/4.30 ** KEPT (pick-wt=2): 682 [] epsilon_transitive($c14).
% 4.16/4.30 ** KEPT (pick-wt=2): 683 [] epsilon_connected($c14).
% 4.16/4.30 ** KEPT (pick-wt=2): 684 [] ordinal($c14).
% 4.16/4.30 ** KEPT (pick-wt=2): 685 [] relation($c15).
% 4.16/4.30 ** KEPT (pick-wt=2): 686 [] relation_empty_yielding($c15).
% 4.16/4.31 ** KEPT (pick-wt=2): 687 [] relation($c16).
% 4.16/4.31 ** KEPT (pick-wt=2): 688 [] relation_empty_yielding($c16).
% 4.16/4.31 ** KEPT (pick-wt=2): 689 [] function($c16).
% 4.16/4.31 ** KEPT (pick-wt=3): 690 [] subset(A,A).
% 4.16/4.31 ** KEPT (pick-wt=6): 692 [copy,691,demod,612] in(A,set_union2(A,singleton(A))).
% 4.16/4.31 ** KEPT (pick-wt=4): 693 [] in(A,$f74(A)).
% 4.16/4.31 ** KEPT (pick-wt=5): 694 [] subset(set_intersection2(A,B),A).
% 4.16/4.31 ** KEPT (pick-wt=5): 695 [] set_union2(A,empty_set)=A.
% 4.16/4.31 ---> New Demodulator: 696 [new_demod,695] set_union2(A,empty_set)=A.
% 4.16/4.31 ** KEPT (pick-wt=5): 698 [copy,697,flip.1] singleton(empty_set)=powerset(empty_set).
% 4.16/4.31 ---> New Demodulator: 699 [new_demod,698] singleton(empty_set)=powerset(empty_set).
% 4.16/4.31 ** KEPT (pick-wt=5): 700 [] set_intersection2(A,empty_set)=empty_set.
% 4.16/4.31 ---> New Demodulator: 701 [new_demod,700] set_intersection2(A,empty_set)=empty_set.
% 4.16/4.31 ** KEPT (pick-wt=13): 702 [] in($f77(A,B),A)|in($f77(A,B),B)|A=B.
% 4.16/4.31 ** KEPT (pick-wt=3): 703 [] subset(empty_set,A).
% 4.16/4.31 ** KEPT (pick-wt=6): 704 [] in($f78(A),A)|ordinal(A).
% 4.16/4.31 ** KEPT (pick-wt=5): 705 [] subset(set_difference(A,B),A).
% 4.16/4.31 ** KEPT (pick-wt=9): 706 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.16/4.31 ---> New Demodulator: 707 [new_demod,706] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 4.16/4.31 ** KEPT (pick-wt=5): 708 [] set_difference(A,empty_set)=A.
% 4.16/4.31 ---> New Demodulator: 709 [new_demod,708] set_difference(A,empty_set)=A.
% 4.16/4.31 ** KEPT (pick-wt=8): 710 [] disjoint(A,B)|in($f81(A,B),A).
% 4.16/4.31 ** KEPT (pick-wt=8): 711 [] disjoint(A,B)|in($f81(A,B),B).
% 4.16/4.31 ** KEPT (pick-wt=9): 712 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.16/4.31 ---> New Demodulator: 713 [new_demod,712] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 4.16/4.31 ** KEPT (pick-wt=9): 715 [copy,714,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 4.16/4.31 ---> New Demodulator: 716 [new_demod,715] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 4.16/4.31 ** KEPT (pick-wt=5): 717 [] set_difference(empty_set,A)=empty_set.
% 4.16/4.31 ---> New Demodulator: 718 [new_demod,717] set_difference(empty_set,A)=empty_set.
% 4.16/4.31 ** KEPT (pick-wt=12): 720 [copy,719,demod,716] disjoint(A,B)|in($f84(A,B),set_difference(A,set_difference(A,B))).
% 4.16/4.31 ** KEPT (pick-wt=4): 721 [] relation_dom(empty_set)=empty_set.
% 4.16/4.31 ---> New Demodulator: 722 [new_demod,721] relation_dom(empty_set)=empty_set.
% 4.16/4.31 ** KEPT (pick-wt=4): 723 [] relation_rng(empty_set)=empty_set.
% 4.16/4.31 ---> New Demodulator: 724 [new_demod,723] relation_rng(empty_set)=empty_set.
% 4.16/4.31 ** KEPT (pick-wt=9): 725 [] set_difference(A,singleton(B))=A|in(B,A).
% 4.16/4.31 ** KEPT (pick-wt=6): 727 [copy,726,flip.1] singleton(A)=unordered_pair(A,A).
% 4.16/4.31 ---> New Demodulator: 728 [new_demod,727] singleton(A)=unordered_pair(A,A).
% 4.16/4.31 ** KEPT (pick-wt=5): 729 [] relation_dom(identity_relation(A))=A.
% 4.16/4.31 ---> New Demodulator: 730 [new_demod,729] relation_dom(identity_relation(A))=A.
% 4.16/4.31 ** KEPT (pick-wt=5): 731 [] relation_rng(identity_relation(A))=A.
% 4.16/4.31 ---> New Demodulator: 732 [new_demod,731] relation_rng(identity_relation(A))=A.
% 4.16/4.31 ** KEPT (pick-wt=5): 733 [] subset(A,set_union2(A,B)).
% 4.16/4.31 ** KEPT (pick-wt=5): 734 [] union(powerset(A))=A.
% 4.16/4.31 ---> New Demodulator: 735 [new_demod,734] union(powerset(A))=A.
% 4.16/4.31 ** KEPT (pick-wt=4): 736 [] in(A,$f92(A)).
% 4.16/4.31 Following clause subsumed by 606 during input processing: 0 [copy,606,flip.1] A=A.
% 4.16/4.31 606 back subsumes 592.
% 4.16/4.31 606 back subsumes 587.
% 4.16/4.31 606 back subsumes 564.
% 4.16/4.31 606 back subsumes 561.
% 4.16/4.31 606 back subsumes 509.
% 4.16/4.31 606 back subsumes 494.
% 4.16/4.31 606 back subsumes 484.
% 4.16/4.31 606 back subsumes 483.
% 4.16/4.31 606 back subsumes 460.
% 4.16/4.31 Following clause subsumed by 607 during input processing: 0 [copy,607,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 4.16/4.31 Following clause subsumed by 608 during input processing: 0 [copy,608,flip.1] set_union2(A,B)=set_union2(B,A).
% 4.16/4.31 ** KEPT (pick-wt=11): 737 [copy,609,flip.1,demod,716,716] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 4.16/4.31 >>>> Starting back demodulation with 612.
% 4.16/4.31 >> back demodulating 569 with 612.
% 4.16/4.31 >> back demodulating 566 with 612.
% 4.16/4.31 >> back demodulating 379 with 612.
% 4.16/4.31 >> back demodulating 378 with 612.
% 4.16/4.31 >> back demodulating 375 with 612.
% 4.16/4.31 >> back demodulating 372 with 612.
% 4.16/4.31 >> back demodulating 352 with 612.
% 4.16/4.31 >> back demodulating 351 with 612.
% 4.16/4.31 >> back demodulating 230 with 612.
% 4.16/4.31 >> back demodulating 229 with 612.
% 4.16/4.31 >> back demodulating 228 with 612.
% 4.16/4.31 >> back demodulating 220 with 612.
% 4.16/4.31 >>>> Starting back demodulation with 630.
% 4.16/4.31 >> back demodulating 390 with 630.
% 4.16/4.31 >> back demodulating 389 with 630.
% 4.16/4.31 >>>> Starting back demodulation with 636.
% 4.16/4.31 >>>> Starting back demodulation with 651.
% 4.16/4.31 >> back demodulating 593 with 651.
% 4.16/4.31 >> back demodulating 543 with 651.
% 4.16/4.31 >> back demodulating 487 with 651.
% 4.16/4.31 >>>> Starting back demodulation with 653.
% 4.16/4.31 >> back demodulating 597 with 653.
% 4.16/4.31 >> back demodulating 555 with 653.
% 4.16/4.31 >> back demodulating 542 with 653.
% 4.16/4.31 >> back demodulating 500 with 653.
% 4.16/4.31 >> back demodulating 497 with 653.
% 4.16/4.31 690 back subsumes 563.
% 4.16/4.31 690 back subsumes 562.
% 4.16/4.31 690 back subsumes 548.
% 4.16/4.31 690 back subsumes 496.
% 4.16/4.31 690 back subsumes 495.
% 4.16/4.31 >>>> Starting back demodulation with 696.
% 4.16/4.31 >>>> Starting back demodulation with 699.
% 4.16/4.31 >>>> Starting back demodulation with 701.
% 4.16/4.31 >>>> Starting back demodulation with 707.
% 4.16/4.31 >> back demodulating 385 with 707.
% 4.16/4.31 >>>> Starting back demodulation with 709.
% 4.16/4.31 >>>> Starting back demodulation with 713.
% 4.16/4.31 >>>> Starting back demodulation with 716.
% 4.16/4.31 >> back demodulating 700 with 716.
% 4.16/4.31 >> back demodulating 694 with 716.
% 4.16/4.31 >> back demodulating 652 with 716.
% 4.16/4.31 >> back demodulating 628 with 716.
% 4.16/4.31 >> back demodulating 627 with 716.
% 4.16/4.31 >> back demodulating 609 with 716.
% 4.16/4.31 >> back demodulating 589 with 716.
% 4.16/4.31 >> back demodulating 588 with 716.
% 4.16/4.31 >> back demodulating 586 with 716.
% 4.16/4.31 >> back demodulating 499 with 716.
% 4.16/4.31 >> back demodulating 498 with 716.
% 4.16/4.31 >> back demodulating 450 with 716.
% 4.16/4.31 >> back demodulating 429 with 716.
% 4.16/4.31 >> back demodulating 428 with 716.
% 4.16/4.31 >> back demodulating 426 with 716.
% 4.16/4.31 >> back demodulating 392 with 716.
% 4.16/4.31 >> back demodulating 343 with 716.
% 4.16/4.31 >> back demodulating 342 with 716.
% 4.16/4.31 >> back demodulating 326 with 716.
% 4.16/4.31 >> back demodulating 313 with 716.
% 4.16/4.31 >> back demodulating 298 with 716.
% 4.16/4.31 >> back demodulating 221 with 716.
% 4.16/4.31 >> back demodulating 172 with 716.
% 4.16/4.31 >> back demodulating 171 with 716.
% 4.16/4.31 >> back demodulating 130 with 716.
% 4.16/4.31 >> back demodulating 129 with 716.
% 4.16/4.31 >> back demodulating 128 with 716.
% 4.16/4.31 >> back demodulating 127 with 716.
% 4.16/4.31 >>>> Starting back demodulation with 718.
% 4.16/4.31 >>>> Starting back demodulation with 722.
% 4.16/4.31 >>>> Starting back demodulation with 724.
% 4.16/4.31 >>>> Starting back demodulation with 728.
% 4.16/4.31 >> back demodulating 725 with 728.
% 4.16/4.31 >> back demodulating 698 with 728.
% 4.16/4.31 >> back demodulating 692 with 728.
% 4.16/4.31 >> back demodulating 654 with 728.
% 4.16/4.31 >> back demodulating 635 with 728.
% 4.16/4.31 >> back demodulating 614 with 728.
% 4.16/4.31 >> back demodulating 611 with 728.
% 4.16/4.31 >> back demodulating 457 with 728.
% 4.16/4.31 >> back demodulating 449 with 728.
% 4.16/4.31 >> back demodulating 431 with 728.
% 4.16/4.31 >> back demodulating 425 with 728.
% 4.16/4.31 >> back demodulating 268 with 728.
% 4.16/4.31 >> back demodulating 267 with 728.
% 4.16/4.31 >> back demodulating 266 with 728.
% 4.16/4.31 >> back demodulating 262 with 728.
% 4.16/4.31 >> back demodulating 261 with 728.
% 4.16/4.31 >> back demodulating 256 with 728.
% 4.16/4.31 >> back demodulating 255 with 728.
% 4.16/4.31 >> back demodulating 254 with 728.
% 4.16/4.31 >> back demodulating 225 with 728.
% 4.16/4.31 >> back demodulating 87 with 728.
% 4.16/4.31 >> back demodulating 86 with 728.
% 4.16/4.31 >> back demodulating 85 with 728.
% 4.16/4.31 >>>> Starting back demodulation with 730.
% 4.16/4.31 >>>> Starting back demodulation with 732.
% 4.16/4.31 >>>> Starting back demodulation with 735.
% 4.16/4.31 Following clause subsumed by 737 during input processing: 0 [copy,737,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 4.16/4.31 762 back subsumes 94.
% 4.16/4.31 764 back subsumes 95.
% 4.16/4.31 >>>> Starting back demodulation with 766.
% 4.16/4.31 >> back demodulating 547 with 766.
% 4.16/4.31 >> back demodulating 544 with 766.
% 4.16/4.31 >>>> Starting back demodulation with 791.
% 4.16/4.31 >>>> Starting back demodulation with 795.
% 4.16/4.31 >>>> Starting back demodulation with 798.
% 4.16/4.31
% 4.16/4.31 ======= end of input processing =======
% 4.16/4.31
% 4.16/4.31 =========== start of search ===========
% 4.16/4.31
% 4.16/4.31
% 4.16/4.31 Resetting weight limit to 2.
% 4.16/4.31
% 4.16/4.31
% 4.16/4.31 Resetting weight limit to 2.
% 37.94/38.06
% 37.94/38.06 sos_size=161
% 37.94/38.06
% 37.94/38.06 Search stopped because sos empty.
% 37.94/38.06
% 37.94/38.06
% 37.94/38.06 Search stopped because sos empty.
% 37.94/38.06
% 37.94/38.06 ============ end of search ============
% 37.94/38.06
% 37.94/38.06 -------------- statistics -------------
% 37.94/38.06 clauses given 177
% 37.94/38.06 clauses generated 1457697
% 37.94/38.06 clauses kept 771
% 37.94/38.06 clauses forward subsumed 366
% 37.94/38.06 clauses back subsumed 24
% 37.94/38.06 Kbytes malloced 9765
% 37.94/38.06
% 37.94/38.06 ----------- times (seconds) -----------
% 37.94/38.06 user CPU time 33.80 (0 hr, 0 min, 33 sec)
% 37.94/38.06 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 37.94/38.06 wall-clock time 38 (0 hr, 0 min, 38 sec)
% 37.94/38.06
% 37.94/38.06 Process 6696 finished Wed Jul 27 07:47:38 2022
% 37.94/38.06 Otter interrupted
% 37.94/38.06 PROOF NOT FOUND
%------------------------------------------------------------------------------