TSTP Solution File: SEU231+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU231+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:15:16 EDT 2022
% Result : Unknown 31.37s 31.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU231+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 07:29:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.48/3.68 ----- Otter 3.3f, August 2004 -----
% 3.48/3.68 The process was started by sandbox2 on n003.cluster.edu,
% 3.48/3.68 Wed Jul 27 07:29:56 2022
% 3.48/3.68 The command was "./otter". The process ID is 30171.
% 3.48/3.68
% 3.48/3.68 set(prolog_style_variables).
% 3.48/3.68 set(auto).
% 3.48/3.68 dependent: set(auto1).
% 3.48/3.68 dependent: set(process_input).
% 3.48/3.68 dependent: clear(print_kept).
% 3.48/3.68 dependent: clear(print_new_demod).
% 3.48/3.68 dependent: clear(print_back_demod).
% 3.48/3.68 dependent: clear(print_back_sub).
% 3.48/3.68 dependent: set(control_memory).
% 3.48/3.68 dependent: assign(max_mem, 12000).
% 3.48/3.68 dependent: assign(pick_given_ratio, 4).
% 3.48/3.68 dependent: assign(stats_level, 1).
% 3.48/3.68 dependent: assign(max_seconds, 10800).
% 3.48/3.68 clear(print_given).
% 3.48/3.68
% 3.48/3.68 formula_list(usable).
% 3.48/3.68 all A (A=A).
% 3.48/3.68 all A B (in(A,B)-> -in(B,A)).
% 3.48/3.68 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 3.48/3.68 all A (empty(A)->function(A)).
% 3.48/3.68 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 3.48/3.68 all A (empty(A)->relation(A)).
% 3.48/3.68 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 3.48/3.68 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 3.48/3.68 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 3.48/3.68 all A B (set_union2(A,B)=set_union2(B,A)).
% 3.48/3.68 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 3.48/3.68 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 3.48/3.68 all A B (A=B<->subset(A,B)&subset(B,A)).
% 3.48/3.68 all A (relation(A)-> (all B C (relation(C)-> (C=relation_dom_restriction(A,B)<-> (all D E (in(ordered_pair(D,E),C)<->in(D,B)&in(ordered_pair(D,E),A))))))).
% 3.48/3.68 all A (relation(A)&function(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(E,relation_dom(A))&in(E,B)&D=apply(A,E)))))))).
% 3.48/3.68 all A B (relation(B)-> (all C (relation(C)-> (C=relation_rng_restriction(A,B)<-> (all D E (in(ordered_pair(D,E),C)<->in(E,A)&in(ordered_pair(D,E),B))))))).
% 3.48/3.68 all A (relation(A)&function(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<->in(D,relation_dom(A))&in(apply(A,D),B)))))).
% 3.48/3.68 all A (relation(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(ordered_pair(E,D),A)&in(E,B)))))))).
% 3.48/3.68 all A (relation(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(ordered_pair(D,E),A)&in(E,B)))))))).
% 3.48/3.68 all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 3.48/3.68 all A (succ(A)=set_union2(A,singleton(A))).
% 3.48/3.68 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 3.48/3.68 all A B ((A!=empty_set-> (B=set_meet(A)<-> (all C (in(C,B)<-> (all D (in(D,A)->in(C,D)))))))& (A=empty_set-> (B=set_meet(A)<->B=empty_set))).
% 3.48/3.68 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 3.48/3.68 all A (A=empty_set<-> (all B (-in(B,A)))).
% 3.48/3.68 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 3.48/3.68 all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 3.48/3.68 all A (relation(A)-> (all B (relation(B)-> (A=B<-> (all C D (in(ordered_pair(C,D),A)<->in(ordered_pair(C,D),B))))))).
% 3.48/3.68 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 3.48/3.68 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 3.48/3.68 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 3.48/3.68 all A B C (C=cartesian_product2(A,B)<-> (all D (in(D,C)<-> (exists E F (in(E,A)&in(F,B)&D=ordered_pair(E,F)))))).
% 3.48/3.68 all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 3.48/3.68 all A (relation(A)-> (all B (relation(B)-> (subset(A,B)<-> (all C D (in(ordered_pair(C,D),A)->in(ordered_pair(C,D),B))))))).
% 3.48/3.68 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 3.48/3.68 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 3.48/3.68 all A (relation(A)&function(A)-> (all B C ((in(B,relation_dom(A))-> (C=apply(A,B)<->in(ordered_pair(B,C),A)))& (-in(B,relation_dom(A))-> (C=apply(A,B)<->C=empty_set))))).
% 3.48/3.68 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 3.48/3.68 all A (cast_to_subset(A)=A).
% 3.48/3.68 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 3.48/3.68 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 3.48/3.68 all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 3.48/3.68 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 3.48/3.68 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 3.48/3.68 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 3.48/3.68 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 3.48/3.68 all A (relation(A)-> (all B (relation(B)-> (B=relation_inverse(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(ordered_pair(D,C),A))))))).
% 3.48/3.68 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 3.48/3.68 all A (relation(A)&function(A)-> (one_to_one(A)<-> (all B C (in(B,relation_dom(A))&in(C,relation_dom(A))&apply(A,B)=apply(A,C)->B=C)))).
% 3.48/3.68 all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)-> (C=relation_composition(A,B)<-> (all D E (in(ordered_pair(D,E),C)<-> (exists F (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B))))))))))).
% 3.48/3.68 all A B (element(B,powerset(powerset(A)))-> (all C (element(C,powerset(powerset(A)))-> (C=complements_of_subsets(A,B)<-> (all D (element(D,powerset(A))-> (in(D,C)<->in(subset_complement(A,D),B)))))))).
% 3.48/3.68 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 3.48/3.68 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 3.48/3.68 $T.
% 3.48/3.68 all A element(cast_to_subset(A),powerset(A)).
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 all A (relation(A)->relation(relation_inverse(A))).
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 3.48/3.68 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 3.48/3.68 all A relation(identity_relation(A)).
% 3.48/3.68 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 3.48/3.68 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 3.48/3.68 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 3.48/3.68 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 3.48/3.68 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 3.48/3.68 $T.
% 3.48/3.68 $T.
% 3.48/3.68 all A exists B element(B,A).
% 3.48/3.68 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 3.48/3.68 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 3.48/3.68 empty(empty_set).
% 3.48/3.68 relation(empty_set).
% 3.48/3.68 relation_empty_yielding(empty_set).
% 3.48/3.68 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 3.48/3.68 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 3.48/3.68 all A (-empty(succ(A))).
% 3.48/3.68 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 3.48/3.68 all A (-empty(powerset(A))).
% 3.48/3.68 empty(empty_set).
% 3.48/3.68 all A B (-empty(ordered_pair(A,B))).
% 3.48/3.68 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 3.48/3.68 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 3.48/3.68 all A (-empty(singleton(A))).
% 3.48/3.68 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 3.48/3.68 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 3.48/3.68 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 3.48/3.68 all A B (-empty(unordered_pair(A,B))).
% 3.48/3.68 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 3.48/3.68 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 3.48/3.68 empty(empty_set).
% 3.48/3.68 relation(empty_set).
% 3.48/3.68 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.48/3.68 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 3.48/3.68 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 3.48/3.68 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 3.48/3.68 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 3.48/3.68 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 3.48/3.68 all A B (set_union2(A,A)=A).
% 3.48/3.68 all A B (set_intersection2(A,A)=A).
% 3.48/3.68 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 3.48/3.68 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 3.48/3.68 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 3.48/3.68 all A B (-proper_subset(A,A)).
% 3.48/3.68 all A (singleton(A)!=empty_set).
% 3.48/3.68 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.48/3.68 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 3.48/3.68 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 3.48/3.68 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.48/3.68 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.48/3.68 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 3.48/3.68 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 3.48/3.68 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.48/3.68 all A B (in(A,B)->subset(A,union(B))).
% 3.48/3.68 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.48/3.68 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 3.48/3.68 all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))<->in(B,relation_dom(C))&in(B,A))).
% 3.48/3.68 exists A (relation(A)&function(A)).
% 3.48/3.68 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 3.48/3.68 exists A (empty(A)&relation(A)).
% 3.48/3.68 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.48/3.68 exists A empty(A).
% 3.48/3.68 exists A (relation(A)&empty(A)&function(A)).
% 3.48/3.68 exists A (-empty(A)&relation(A)).
% 3.48/3.68 all A exists B (element(B,powerset(A))&empty(B)).
% 3.48/3.68 exists A (-empty(A)).
% 3.48/3.68 exists A (relation(A)&function(A)&one_to_one(A)).
% 3.48/3.68 exists A (relation(A)&relation_empty_yielding(A)).
% 3.48/3.68 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 3.48/3.68 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 3.48/3.68 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 3.48/3.68 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 3.48/3.68 all A B subset(A,A).
% 3.48/3.68 all A B (disjoint(A,B)->disjoint(B,A)).
% 3.48/3.68 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.48/3.68 all A in(A,succ(A)).
% 3.48/3.68 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 3.48/3.68 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 3.48/3.68 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 3.48/3.68 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 3.48/3.68 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 3.48/3.68 all A B C (subset(A,B)->subset(cartesian_product2(A,C),cartesian_product2(B,C))&subset(cartesian_product2(C,A),cartesian_product2(C,B))).
% 3.48/3.68 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 3.48/3.68 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 3.48/3.68 all A B (subset(A,B)->set_union2(A,B)=B).
% 3.48/3.68 all A exists B (in(A,B)& (all C D (in(C,B)&subset(D,C)->in(D,B)))& (all C (in(C,B)->in(powerset(C),B)))& (all C (-(subset(C,B)& -are_e_quipotent(C,B)& -in(C,B))))).
% 3.48/3.68 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 3.48/3.68 all A B C (relation(C)-> (in(A,relation_image(C,B))<-> (exists D (in(D,relation_dom(C))&in(ordered_pair(D,A),C)&in(D,B))))).
% 3.48/3.68 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 3.48/3.68 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 3.48/3.68 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 3.48/3.68 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 3.48/3.68 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 3.48/3.68 all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 3.48/3.68 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 3.48/3.68 all A B C (relation(C)-> (in(A,relation_inverse_image(C,B))<-> (exists D (in(D,relation_rng(C))&in(ordered_pair(A,D),C)&in(D,B))))).
% 3.48/3.68 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 3.48/3.69 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 3.48/3.69 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 3.48/3.69 all A B subset(set_intersection2(A,B),A).
% 3.48/3.69 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 3.48/3.69 all A (set_union2(A,empty_set)=A).
% 3.48/3.69 all A B (in(A,B)->element(A,B)).
% 3.48/3.69 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 3.48/3.69 powerset(empty_set)=singleton(empty_set).
% 3.48/3.69 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 3.48/3.69 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))<->in(A,relation_dom(C))&in(apply(C,A),relation_dom(B)))))).
% 3.48/3.69 -(all A (epsilon_transitive(A)-> (all B (ordinal(B)-> (proper_subset(A,B)->in(A,B)))))).
% 3.48/3.69 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 3.48/3.69 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))->apply(relation_composition(C,B),A)=apply(B,apply(C,A)))))).
% 3.48/3.69 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(B))->apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))).
% 3.48/3.69 all A (relation(A)-> (all B (relation(B)-> (subset(A,B)->subset(relation_dom(A),relation_dom(B))&subset(relation_rng(A),relation_rng(B)))))).
% 3.48/3.69 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 3.48/3.69 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 3.48/3.69 all A (set_intersection2(A,empty_set)=empty_set).
% 3.48/3.69 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.48/3.69 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.48/3.69 all A subset(empty_set,A).
% 3.48/3.69 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 3.48/3.69 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 3.48/3.69 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 3.48/3.69 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 3.48/3.69 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 3.48/3.69 all A B subset(set_difference(A,B),A).
% 3.48/3.69 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 3.48/3.69 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.48/3.69 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.48/3.69 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 3.48/3.69 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 3.48/3.69 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.48/3.69 all A (set_difference(A,empty_set)=A).
% 3.48/3.69 all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 3.48/3.69 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.48/3.69 all A B (-(-disjoint(A,B)& (all C (-(in(C,A)&in(C,B)))))& -((exists C (in(C,A)&in(C,B)))&disjoint(A,B))).
% 3.48/3.69 all A (subset(A,empty_set)->A=empty_set).
% 3.48/3.69 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 3.48/3.69 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 3.48/3.69 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 3.48/3.69 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 3.48/3.69 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 3.48/3.69 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 3.48/3.69 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 3.48/3.69 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.48/3.69 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 3.48/3.69 all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)))).
% 3.48/3.69 all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)))).
% 3.48/3.69 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 3.48/3.69 all A (set_difference(empty_set,A)=empty_set).
% 3.48/3.69 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.48/3.69 all A B (-(-disjoint(A,B)& (all C (-in(C,set_intersection2(A,B)))))& -((exists C in(C,set_intersection2(A,B)))&disjoint(A,B))).
% 3.48/3.69 all A (A!=empty_set-> (all B (element(B,powerset(A))-> (all C (element(C,A)-> (-in(C,B)->in(C,subset_complement(A,B)))))))).
% 3.48/3.69 all A (relation(A)&function(A)-> (one_to_one(A)-> (all B (relation(B)&function(B)-> (B=function_inverse(A)<->relation_dom(B)=relation_rng(A)& (all C D ((in(C,relation_rng(A))&D=apply(B,C)->in(D,relation_dom(A))&C=apply(A,D))& (in(D,relation_dom(A))&C=apply(A,D)->in(C,relation_rng(A))&D=apply(B,C))))))))).
% 3.48/3.69 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 3.48/3.69 all A (relation(A)&function(A)-> (one_to_one(A)->relation_rng(A)=relation_dom(function_inverse(A))&relation_dom(A)=relation_rng(function_inverse(A)))).
% 3.48/3.69 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 3.48/3.69 all A B (relation(B)&function(B)-> (one_to_one(B)&in(A,relation_rng(B))->A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A))).
% 3.48/3.69 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.48/3.69 relation_dom(empty_set)=empty_set.
% 3.48/3.69 relation_rng(empty_set)=empty_set.
% 3.48/3.69 all A B (-(subset(A,B)&proper_subset(B,A))).
% 3.48/3.69 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 3.48/3.69 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 3.48/3.69 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 3.48/3.69 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 3.48/3.69 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 3.48/3.69 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (B=relation_dom_restriction(C,A)<->relation_dom(B)=set_intersection2(relation_dom(C),A)& (all D (in(D,relation_dom(B))->apply(B,D)=apply(C,D))))))).
% 3.48/3.69 all A (unordered_pair(A,A)=singleton(A)).
% 3.48/3.69 all A (empty(A)->A=empty_set).
% 3.48/3.69 all A B (subset(singleton(A),singleton(B))->A=B).
% 3.48/3.69 all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.48/3.69 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 3.48/3.69 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.48/3.69 all A B C D (relation(D)-> (in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<->in(A,C)&in(ordered_pair(A,B),D))).
% 3.48/3.69 all A B (-(in(A,B)&empty(B))).
% 3.48/3.69 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 3.48/3.69 all A B subset(A,set_union2(A,B)).
% 3.48/3.69 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 3.48/3.69 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 3.48/3.69 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 3.48/3.69 all A B (-(empty(A)&A!=B&empty(B))).
% 3.48/3.69 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 3.48/3.69 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 3.48/3.69 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 3.48/3.69 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 3.48/3.69 all A B (in(A,B)->subset(A,union(B))).
% 3.48/3.69 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 3.48/3.69 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 3.48/3.69 all A (union(powerset(A))=A).
% 3.48/3.69 all A exists B (in(A,B)& (all C D (in(C,B)&subset(D,C)->in(D,B)))& (all C (-(in(C,B)& (all D (-(in(D,B)& (all E (subset(E,C)->in(E,D)))))))))& (all C (-(subset(C,B)& -are_e_quipotent(C,B)& -in(C,B))))).
% 3.48/3.69 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 3.48/3.69 end_of_list.
% 3.48/3.69
% 3.48/3.69 -------> usable clausifies to:
% 3.48/3.69
% 3.48/3.69 list(usable).
% 3.48/3.69 0 [] A=A.
% 3.48/3.69 0 [] -in(A,B)| -in(B,A).
% 3.48/3.69 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.48/3.69 0 [] -empty(A)|function(A).
% 3.48/3.69 0 [] -ordinal(A)|epsilon_transitive(A).
% 3.48/3.69 0 [] -ordinal(A)|epsilon_connected(A).
% 3.48/3.69 0 [] -empty(A)|relation(A).
% 3.48/3.69 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.57/3.69 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 3.57/3.69 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.57/3.69 0 [] set_union2(A,B)=set_union2(B,A).
% 3.57/3.69 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.57/3.69 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 3.57/3.69 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 3.57/3.69 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 3.57/3.69 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 3.57/3.69 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 3.57/3.69 0 [] -relation(B)|B=identity_relation(A)| -in(ordered_pair($f2(A,B),$f1(A,B)),B)| -in($f2(A,B),A)|$f2(A,B)!=$f1(A,B).
% 3.57/3.69 0 [] A!=B|subset(A,B).
% 3.57/3.69 0 [] A!=B|subset(B,A).
% 3.57/3.69 0 [] A=B| -subset(A,B)| -subset(B,A).
% 3.57/3.69 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 3.57/3.69 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 3.57/3.69 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 3.57/3.69 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 3.57/3.69 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),A).
% 3.57/3.69 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)| -in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)| -in($f4(A,B,C),B)| -in(ordered_pair($f4(A,B,C),$f3(A,B,C)),A).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)|in(D,C)| -in(E,relation_dom(A))| -in(E,B)|D!=apply(A,E).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 3.57/3.69 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 3.57/3.69 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 3.57/3.69 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 3.57/3.69 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 3.57/3.69 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 3.57/3.69 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)| -in($f8(A,B,C),A)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 3.57/3.69 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 3.57/3.69 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 3.57/3.69 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 3.57/3.69 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 3.57/3.69 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 3.57/3.69 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 3.57/3.69 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 3.57/3.69 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 3.57/3.69 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 3.57/3.69 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 3.57/3.69 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 3.57/3.69 0 [] -relation(A)|C=relation_inverse_image(A,B)| -in($f16(A,B,C),C)| -in(ordered_pair($f16(A,B,C),X3),A)| -in(X3,B).
% 3.57/3.69 0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 3.57/3.69 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 3.57/3.69 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 3.57/3.69 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 3.57/3.69 0 [] D=unordered_triple(A,B,C)|in($f17(A,B,C,D),D)|$f17(A,B,C,D)=A|$f17(A,B,C,D)=B|$f17(A,B,C,D)=C.
% 3.57/3.69 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 3.57/3.69 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 3.57/3.69 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 3.57/3.69 0 [] succ(A)=set_union2(A,singleton(A)).
% 3.57/3.69 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f19(A,B),$f18(A,B)).
% 3.57/3.69 0 [] relation(A)|in($f20(A),A).
% 3.57/3.69 0 [] relation(A)|$f20(A)!=ordered_pair(C,D).
% 3.57/3.69 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.57/3.69 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f21(A,B,C),A).
% 3.57/3.69 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f21(A,B,C)).
% 3.57/3.69 0 [] A=empty_set|B=set_meet(A)|in($f23(A,B),B)| -in(X4,A)|in($f23(A,B),X4).
% 3.57/3.69 0 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)|in($f22(A,B),A).
% 3.57/3.69 0 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)| -in($f23(A,B),$f22(A,B)).
% 3.57/3.69 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.57/3.69 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.57/3.69 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 3.57/3.69 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 3.57/3.69 0 [] B=singleton(A)|in($f24(A,B),B)|$f24(A,B)=A.
% 3.57/3.69 0 [] B=singleton(A)| -in($f24(A,B),B)|$f24(A,B)!=A.
% 3.57/3.69 0 [] A!=empty_set| -in(B,A).
% 3.57/3.69 0 [] A=empty_set|in($f25(A),A).
% 3.57/3.69 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 3.57/3.69 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 3.57/3.69 0 [] B=powerset(A)|in($f26(A,B),B)|subset($f26(A,B),A).
% 3.57/3.69 0 [] B=powerset(A)| -in($f26(A,B),B)| -subset($f26(A,B),A).
% 3.57/3.69 0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 3.57/3.69 0 [] epsilon_transitive(A)|in($f27(A),A).
% 3.57/3.69 0 [] epsilon_transitive(A)| -subset($f27(A),A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f29(A,B),$f28(A,B)),A)|in(ordered_pair($f29(A,B),$f28(A,B)),B).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f29(A,B),$f28(A,B)),A)| -in(ordered_pair($f29(A,B),$f28(A,B)),B).
% 3.57/3.69 0 [] empty(A)| -element(B,A)|in(B,A).
% 3.57/3.69 0 [] empty(A)|element(B,A)| -in(B,A).
% 3.57/3.69 0 [] -empty(A)| -element(B,A)|empty(B).
% 3.57/3.69 0 [] -empty(A)|element(B,A)| -empty(B).
% 3.57/3.69 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 3.57/3.69 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 3.57/3.69 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 3.57/3.69 0 [] C=unordered_pair(A,B)|in($f30(A,B,C),C)|$f30(A,B,C)=A|$f30(A,B,C)=B.
% 3.57/3.69 0 [] C=unordered_pair(A,B)| -in($f30(A,B,C),C)|$f30(A,B,C)!=A.
% 3.57/3.69 0 [] C=unordered_pair(A,B)| -in($f30(A,B,C),C)|$f30(A,B,C)!=B.
% 3.57/3.69 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 3.57/3.69 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 3.57/3.69 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 3.57/3.69 0 [] C=set_union2(A,B)|in($f31(A,B,C),C)|in($f31(A,B,C),A)|in($f31(A,B,C),B).
% 3.57/3.69 0 [] C=set_union2(A,B)| -in($f31(A,B,C),C)| -in($f31(A,B,C),A).
% 3.57/3.69 0 [] C=set_union2(A,B)| -in($f31(A,B,C),C)| -in($f31(A,B,C),B).
% 3.57/3.69 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f33(A,B,C,D),A).
% 3.57/3.69 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f32(A,B,C,D),B).
% 3.57/3.69 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f33(A,B,C,D),$f32(A,B,C,D)).
% 3.57/3.69 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 3.57/3.69 0 [] C=cartesian_product2(A,B)|in($f36(A,B,C),C)|in($f35(A,B,C),A).
% 3.57/3.69 0 [] C=cartesian_product2(A,B)|in($f36(A,B,C),C)|in($f34(A,B,C),B).
% 3.57/3.69 0 [] C=cartesian_product2(A,B)|in($f36(A,B,C),C)|$f36(A,B,C)=ordered_pair($f35(A,B,C),$f34(A,B,C)).
% 3.57/3.69 0 [] C=cartesian_product2(A,B)| -in($f36(A,B,C),C)| -in(X5,A)| -in(X6,B)|$f36(A,B,C)!=ordered_pair(X5,X6).
% 3.57/3.69 0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 3.57/3.69 0 [] epsilon_connected(A)|in($f38(A),A).
% 3.57/3.69 0 [] epsilon_connected(A)|in($f37(A),A).
% 3.57/3.69 0 [] epsilon_connected(A)| -in($f38(A),$f37(A)).
% 3.57/3.69 0 [] epsilon_connected(A)|$f38(A)!=$f37(A).
% 3.57/3.69 0 [] epsilon_connected(A)| -in($f37(A),$f38(A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f40(A,B),$f39(A,B)),A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f40(A,B),$f39(A,B)),B).
% 3.57/3.69 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.57/3.69 0 [] subset(A,B)|in($f41(A,B),A).
% 3.57/3.69 0 [] subset(A,B)| -in($f41(A,B),B).
% 3.57/3.69 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 3.57/3.69 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 3.57/3.69 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 3.57/3.69 0 [] C=set_intersection2(A,B)|in($f42(A,B,C),C)|in($f42(A,B,C),A).
% 3.57/3.69 0 [] C=set_intersection2(A,B)|in($f42(A,B,C),C)|in($f42(A,B,C),B).
% 3.57/3.69 0 [] C=set_intersection2(A,B)| -in($f42(A,B,C),C)| -in($f42(A,B,C),A)| -in($f42(A,B,C),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.57/3.69 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.57/3.69 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.57/3.69 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.57/3.69 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f43(A,B,C)),A).
% 3.57/3.69 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.57/3.69 0 [] -relation(A)|B=relation_dom(A)|in($f45(A,B),B)|in(ordered_pair($f45(A,B),$f44(A,B)),A).
% 3.57/3.69 0 [] -relation(A)|B=relation_dom(A)| -in($f45(A,B),B)| -in(ordered_pair($f45(A,B),X7),A).
% 3.57/3.69 0 [] cast_to_subset(A)=A.
% 3.57/3.69 0 [] B!=union(A)| -in(C,B)|in(C,$f46(A,B,C)).
% 3.57/3.69 0 [] B!=union(A)| -in(C,B)|in($f46(A,B,C),A).
% 3.57/3.69 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 3.57/3.69 0 [] B=union(A)|in($f48(A,B),B)|in($f48(A,B),$f47(A,B)).
% 3.57/3.69 0 [] B=union(A)|in($f48(A,B),B)|in($f47(A,B),A).
% 3.57/3.69 0 [] B=union(A)| -in($f48(A,B),B)| -in($f48(A,B),X8)| -in(X8,A).
% 3.57/3.69 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 3.57/3.69 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 3.57/3.69 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 3.57/3.69 0 [] C=set_difference(A,B)|in($f49(A,B,C),C)|in($f49(A,B,C),A).
% 3.57/3.69 0 [] C=set_difference(A,B)|in($f49(A,B,C),C)| -in($f49(A,B,C),B).
% 3.57/3.69 0 [] C=set_difference(A,B)| -in($f49(A,B,C),C)| -in($f49(A,B,C),A)|in($f49(A,B,C),B).
% 3.57/3.69 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f50(A,B,C),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f50(A,B,C)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.57/3.69 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f52(A,B),B)|in($f51(A,B),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f52(A,B),B)|$f52(A,B)=apply(A,$f51(A,B)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f52(A,B),B)| -in(X9,relation_dom(A))|$f52(A,B)!=apply(A,X9).
% 3.57/3.69 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f53(A,B,C),C),A).
% 3.57/3.69 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.57/3.69 0 [] -relation(A)|B=relation_rng(A)|in($f55(A,B),B)|in(ordered_pair($f54(A,B),$f55(A,B)),A).
% 3.57/3.69 0 [] -relation(A)|B=relation_rng(A)| -in($f55(A,B),B)| -in(ordered_pair(X10,$f55(A,B)),A).
% 3.57/3.69 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 3.57/3.69 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 3.57/3.69 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f57(A,B),$f56(A,B)),B)|in(ordered_pair($f56(A,B),$f57(A,B)),A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f57(A,B),$f56(A,B)),B)| -in(ordered_pair($f56(A,B),$f57(A,B)),A).
% 3.57/3.69 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.57/3.69 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.57/3.69 0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.57/3.69 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f59(A),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f58(A),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f59(A))=apply(A,$f58(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|one_to_one(A)|$f59(A)!=$f58(A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f60(A,B,C,D,E)),A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f60(A,B,C,D,E),E),B).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f63(A,B,C),$f62(A,B,C)),C)|in(ordered_pair($f63(A,B,C),$f61(A,B,C)),A).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f63(A,B,C),$f62(A,B,C)),C)|in(ordered_pair($f61(A,B,C),$f62(A,B,C)),B).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f63(A,B,C),$f62(A,B,C)),C)| -in(ordered_pair($f63(A,B,C),X11),A)| -in(ordered_pair(X11,$f62(A,B,C)),B).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))| -in(D,C)|in(subset_complement(A,D),B).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))|in(D,C)| -in(subset_complement(A,D),B).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f64(A,B,C),powerset(A)).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f64(A,B,C),C)|in(subset_complement(A,$f64(A,B,C)),B).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f64(A,B,C),C)| -in(subset_complement(A,$f64(A,B,C)),B).
% 3.57/3.69 0 [] -proper_subset(A,B)|subset(A,B).
% 3.57/3.69 0 [] -proper_subset(A,B)|A!=B.
% 3.57/3.69 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.57/3.69 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] element(cast_to_subset(A),powerset(A)).
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] -relation(A)|relation(relation_inverse(A)).
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 3.57/3.69 0 [] relation(identity_relation(A)).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 3.57/3.69 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 3.57/3.69 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 3.57/3.69 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] $T.
% 3.57/3.69 0 [] element($f65(A),A).
% 3.57/3.69 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.57/3.69 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.57/3.69 0 [] -empty(A)|empty(relation_inverse(A)).
% 3.57/3.69 0 [] -empty(A)|relation(relation_inverse(A)).
% 3.57/3.69 0 [] empty(empty_set).
% 3.57/3.69 0 [] relation(empty_set).
% 3.57/3.69 0 [] relation_empty_yielding(empty_set).
% 3.57/3.69 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.57/3.69 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.57/3.69 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.57/3.69 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.57/3.69 0 [] -empty(succ(A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.57/3.69 0 [] -empty(powerset(A)).
% 3.57/3.69 0 [] empty(empty_set).
% 3.57/3.69 0 [] -empty(ordered_pair(A,B)).
% 3.57/3.69 0 [] relation(identity_relation(A)).
% 3.57/3.69 0 [] function(identity_relation(A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.57/3.69 0 [] -empty(singleton(A)).
% 3.57/3.69 0 [] empty(A)| -empty(set_union2(A,B)).
% 3.57/3.69 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 3.57/3.69 0 [] -empty(unordered_pair(A,B)).
% 3.57/3.69 0 [] empty(A)| -empty(set_union2(B,A)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.57/3.69 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.57/3.69 0 [] empty(empty_set).
% 3.57/3.69 0 [] relation(empty_set).
% 3.57/3.69 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.57/3.69 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.57/3.69 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.57/3.69 0 [] -empty(A)|empty(relation_dom(A)).
% 3.57/3.69 0 [] -empty(A)|relation(relation_dom(A)).
% 3.57/3.69 0 [] -empty(A)|empty(relation_rng(A)).
% 3.57/3.69 0 [] -empty(A)|relation(relation_rng(A)).
% 3.57/3.69 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.57/3.69 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.57/3.69 0 [] set_union2(A,A)=A.
% 3.57/3.69 0 [] set_intersection2(A,A)=A.
% 3.57/3.69 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 3.57/3.69 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 3.57/3.69 0 [] -proper_subset(A,A).
% 3.57/3.69 0 [] singleton(A)!=empty_set.
% 3.57/3.69 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.57/3.69 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.57/3.69 0 [] in(A,B)|disjoint(singleton(A),B).
% 3.57/3.69 0 [] -subset(singleton(A),B)|in(A,B).
% 3.57/3.69 0 [] subset(singleton(A),B)| -in(A,B).
% 3.57/3.69 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.57/3.69 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.57/3.69 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 3.57/3.69 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.57/3.69 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.57/3.69 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.57/3.69 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.57/3.69 0 [] -in(A,B)|subset(A,union(B)).
% 3.57/3.69 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.57/3.69 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.57/3.69 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.57/3.69 0 [] in($f66(A,B),A)|element(A,powerset(B)).
% 3.57/3.69 0 [] -in($f66(A,B),B)|element(A,powerset(B)).
% 3.57/3.69 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 3.57/3.69 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 3.57/3.69 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 3.57/3.69 0 [] relation($c1).
% 3.57/3.69 0 [] function($c1).
% 3.57/3.69 0 [] epsilon_transitive($c2).
% 3.57/3.69 0 [] epsilon_connected($c2).
% 3.57/3.69 0 [] ordinal($c2).
% 3.57/3.69 0 [] empty($c3).
% 3.57/3.69 0 [] relation($c3).
% 3.57/3.69 0 [] empty(A)|element($f67(A),powerset(A)).
% 3.57/3.69 0 [] empty(A)| -empty($f67(A)).
% 3.57/3.69 0 [] empty($c4).
% 3.57/3.69 0 [] relation($c5).
% 3.57/3.69 0 [] empty($c5).
% 3.57/3.69 0 [] function($c5).
% 3.57/3.69 0 [] -empty($c6).
% 3.57/3.69 0 [] relation($c6).
% 3.57/3.69 0 [] element($f68(A),powerset(A)).
% 3.57/3.69 0 [] empty($f68(A)).
% 3.57/3.69 0 [] -empty($c7).
% 3.57/3.69 0 [] relation($c8).
% 3.57/3.69 0 [] function($c8).
% 3.57/3.69 0 [] one_to_one($c8).
% 3.57/3.69 0 [] relation($c9).
% 3.57/3.69 0 [] relation_empty_yielding($c9).
% 3.57/3.69 0 [] relation($c10).
% 3.57/3.69 0 [] relation_empty_yielding($c10).
% 3.57/3.69 0 [] function($c10).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 3.57/3.69 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 3.57/3.69 0 [] subset(A,A).
% 3.57/3.69 0 [] -disjoint(A,B)|disjoint(B,A).
% 3.57/3.69 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.57/3.69 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.57/3.69 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.57/3.69 0 [] in(A,succ(A)).
% 3.57/3.69 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 3.57/3.69 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 3.57/3.69 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 3.57/3.69 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 3.57/3.69 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 3.57/3.69 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.57/3.69 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.57/3.69 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 3.57/3.69 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.57/3.69 0 [] -subset(A,B)|set_union2(A,B)=B.
% 3.57/3.69 0 [] in(A,$f69(A)).
% 3.57/3.69 0 [] -in(C,$f69(A))| -subset(D,C)|in(D,$f69(A)).
% 3.57/3.69 0 [] -in(X12,$f69(A))|in(powerset(X12),$f69(A)).
% 3.57/3.69 0 [] -subset(X13,$f69(A))|are_e_quipotent(X13,$f69(A))|in(X13,$f69(A)).
% 3.57/3.69 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f70(A,B,C),relation_dom(C)).
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f70(A,B,C),A),C).
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f70(A,B,C),B).
% 3.57/3.69 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 3.57/3.69 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 3.57/3.69 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 3.57/3.69 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 3.57/3.69 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 3.57/3.69 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 3.57/3.69 0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 3.57/3.69 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f71(A,B,C),relation_rng(C)).
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f71(A,B,C)),C).
% 3.57/3.69 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f71(A,B,C),B).
% 3.57/3.69 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 3.57/3.69 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 3.57/3.69 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 3.57/3.69 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 3.57/3.69 0 [] subset(set_intersection2(A,B),A).
% 3.57/3.69 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.57/3.69 0 [] set_union2(A,empty_set)=A.
% 3.57/3.69 0 [] -in(A,B)|element(A,B).
% 3.57/3.69 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.57/3.69 0 [] powerset(empty_set)=singleton(empty_set).
% 3.57/3.69 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.57/3.69 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 3.57/3.69 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 3.57/3.69 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 3.57/3.69 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|in(A,relation_dom(relation_composition(C,B)))| -in(A,relation_dom(C))| -in(apply(C,A),relation_dom(B)).
% 3.57/3.69 0 [] epsilon_transitive($c12).
% 3.57/3.69 0 [] ordinal($c11).
% 3.57/3.69 0 [] proper_subset($c12,$c11).
% 3.57/3.69 0 [] -in($c12,$c11).
% 3.57/3.69 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.57/3.69 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|apply(relation_composition(C,B),A)=apply(B,apply(C,A)).
% 3.57/3.69 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.57/3.69 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.57/3.69 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.57/3.69 0 [] set_intersection2(A,empty_set)=empty_set.
% 3.57/3.69 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.57/3.69 0 [] in($f72(A,B),A)|in($f72(A,B),B)|A=B.
% 3.57/3.69 0 [] -in($f72(A,B),A)| -in($f72(A,B),B)|A=B.
% 3.57/3.69 0 [] subset(empty_set,A).
% 3.57/3.69 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 3.57/3.69 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 3.57/3.69 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.57/3.69 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.57/3.69 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.57/3.69 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 3.57/3.69 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 3.57/3.69 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f73(A,B),A).
% 3.57/3.69 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f73(A,B))!=$f73(A,B).
% 3.57/3.69 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 3.57/3.69 0 [] subset(set_difference(A,B),A).
% 3.57/3.69 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.57/3.69 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 3.57/3.69 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.57/3.69 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.57/3.69 0 [] -subset(singleton(A),B)|in(A,B).
% 3.57/3.69 0 [] subset(singleton(A),B)| -in(A,B).
% 3.57/3.69 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.57/3.69 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.57/3.69 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.57/3.69 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.57/3.69 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.57/3.69 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.57/3.69 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.57/3.69 0 [] set_difference(A,empty_set)=A.
% 3.57/3.69 0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.57/3.69 0 [] -element(A,powerset(B))|subset(A,B).
% 3.57/3.69 0 [] element(A,powerset(B))| -subset(A,B).
% 3.57/3.69 0 [] disjoint(A,B)|in($f74(A,B),A).
% 3.57/3.69 0 [] disjoint(A,B)|in($f74(A,B),B).
% 3.57/3.69 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 3.57/3.69 0 [] -subset(A,empty_set)|A=empty_set.
% 3.57/3.69 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.57/3.69 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 3.57/3.69 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.57/3.69 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 3.57/3.69 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.57/3.69 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 3.57/3.69 0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 3.57/3.69 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 3.57/3.69 0 [] set_difference(empty_set,A)=empty_set.
% 3.57/3.70 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.57/3.70 0 [] disjoint(A,B)|in($f75(A,B),set_intersection2(A,B)).
% 3.57/3.70 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 3.57/3.70 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|in(C,relation_rng(A)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|D=apply(B,C).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f77(A,B),relation_rng(A))|in($f76(A,B),relation_dom(A)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f77(A,B),relation_rng(A))|$f77(A,B)=apply(A,$f76(A,B)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f76(A,B)=apply(B,$f77(A,B))|in($f76(A,B),relation_dom(A)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f76(A,B)=apply(B,$f77(A,B))|$f77(A,B)=apply(A,$f76(A,B)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f76(A,B),relation_dom(A))|$f77(A,B)!=apply(A,$f76(A,B))| -in($f77(A,B),relation_rng(A))|$f76(A,B)!=apply(B,$f77(A,B)).
% 3.57/3.70 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 3.57/3.70 0 [] -relation(A)|in(ordered_pair($f79(A),$f78(A)),A)|A=empty_set.
% 3.57/3.70 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 3.57/3.70 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 3.57/3.70 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.57/3.70 0 [] relation_dom(empty_set)=empty_set.
% 3.57/3.70 0 [] relation_rng(empty_set)=empty_set.
% 3.57/3.70 0 [] -subset(A,B)| -proper_subset(B,A).
% 3.57/3.70 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.57/3.70 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.57/3.70 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.57/3.70 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.57/3.70 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.57/3.70 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.57/3.70 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.57/3.70 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.57/3.70 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 3.57/3.70 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)| -in(D,relation_dom(B))|apply(B,D)=apply(C,D).
% 3.57/3.70 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($f80(A,B,C),relation_dom(B)).
% 3.57/3.70 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|apply(B,$f80(A,B,C))!=apply(C,$f80(A,B,C)).
% 3.57/3.70 0 [] unordered_pair(A,A)=singleton(A).
% 3.57/3.70 0 [] -empty(A)|A=empty_set.
% 3.57/3.70 0 [] -subset(singleton(A),singleton(B))|A=B.
% 3.57/3.70 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.57/3.70 0 [] relation_dom(identity_relation(A))=A.
% 3.57/3.70 0 [] relation_rng(identity_relation(A))=A.
% 3.57/3.70 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.57/3.70 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 3.57/3.70 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 3.57/3.70 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 3.57/3.70 0 [] -in(A,B)| -empty(B).
% 3.57/3.70 0 [] -in(A,B)|in($f81(A,B),B).
% 3.57/3.70 0 [] -in(A,B)| -in(D,B)| -in(D,$f81(A,B)).
% 3.57/3.70 0 [] subset(A,set_union2(A,B)).
% 3.57/3.70 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.57/3.70 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.57/3.70 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 3.57/3.70 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 3.57/3.70 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 3.57/3.70 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 3.57/3.70 0 [] -empty(A)|A=B| -empty(B).
% 3.57/3.70 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.57/3.70 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 3.57/3.70 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 3.57/3.70 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.57/3.70 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.57/3.70 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 3.57/3.70 0 [] -in(A,B)|subset(A,union(B)).
% 3.57/3.70 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 3.57/3.70 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 3.57/3.70 0 [] union(powerset(A))=A.
% 3.57/3.70 0 [] in(A,$f83(A)).
% 3.57/3.70 0 [] -in(C,$f83(A))| -subset(D,C)|in(D,$f83(A)).
% 3.57/3.70 0 [] -in(X14,$f83(A))|in($f82(A,X14),$f83(A)).
% 3.57/3.70 0 [] -in(X14,$f83(A))| -subset(E,X14)|in(E,$f82(A,X14)).
% 3.57/3.70 0 [] -subset(X15,$f83(A))|are_e_quipotent(X15,$f83(A))|in(X15,$f83(A)).
% 3.57/3.70 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.57/3.70 end_of_list.
% 3.57/3.70
% 3.57/3.70 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 3.57/3.70
% 3.57/3.70 This ia a non-Horn set with equality. The strategy will be
% 3.57/3.70 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.57/3.70 deletion, with positive clauses in sos and nonpositive
% 3.57/3.70 clauses in usable.
% 3.57/3.70
% 3.57/3.70 dependent: set(knuth_bendix).
% 3.57/3.70 dependent: set(anl_eq).
% 3.57/3.70 dependent: set(para_from).
% 3.57/3.70 dependent: set(para_into).
% 3.57/3.70 dependent: clear(para_from_right).
% 3.57/3.70 dependent: clear(para_into_right).
% 3.57/3.70 dependent: set(para_from_vars).
% 3.57/3.70 dependent: set(eq_units_both_ways).
% 3.57/3.70 dependent: set(dynamic_demod_all).
% 3.57/3.70 dependent: set(dynamic_demod).
% 3.57/3.70 dependent: set(order_eq).
% 3.57/3.70 dependent: set(back_demod).
% 3.57/3.70 dependent: set(lrpo).
% 3.57/3.70 dependent: set(hyper_res).
% 3.57/3.70 dependent: set(unit_deletion).
% 3.57/3.70 dependent: set(factor).
% 3.57/3.70
% 3.57/3.70 ------------> process usable:
% 3.57/3.70 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 3.57/3.70 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.57/3.70 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 3.57/3.70 ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_transitive(A).
% 3.57/3.70 ** KEPT (pick-wt=4): 5 [] -ordinal(A)|epsilon_connected(A).
% 3.57/3.70 ** KEPT (pick-wt=4): 6 [] -empty(A)|relation(A).
% 3.57/3.70 ** KEPT (pick-wt=8): 7 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.57/3.70 ** KEPT (pick-wt=6): 8 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 3.57/3.70 ** KEPT (pick-wt=14): 9 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 3.57/3.70 ** KEPT (pick-wt=14): 10 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 3.57/3.70 ** KEPT (pick-wt=17): 11 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 3.57/3.70 ** KEPT (pick-wt=20): 12 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 3.57/3.70 ** KEPT (pick-wt=22): 13 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 3.57/3.70 ** KEPT (pick-wt=27): 14 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 3.57/3.70 ** KEPT (pick-wt=6): 15 [] A!=B|subset(A,B).
% 3.57/3.70 ** KEPT (pick-wt=6): 16 [] A!=B|subset(B,A).
% 3.57/3.70 ** KEPT (pick-wt=9): 17 [] A=B| -subset(A,B)| -subset(B,A).
% 3.57/3.70 ** KEPT (pick-wt=17): 18 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 3.57/3.70 ** KEPT (pick-wt=19): 19 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.57/3.70 ** KEPT (pick-wt=22): 20 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)|in(ordered_pair(D,E),B)| -in(D,C)| -in(ordered_pair(D,E),A).
% 3.57/3.70 ** KEPT (pick-wt=26): 21 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in($f4(A,C,B),C).
% 3.57/3.70 ** KEPT (pick-wt=31): 22 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 3.57/3.70 ** KEPT (pick-wt=37): 23 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)| -in($f4(A,C,B),C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 3.57/3.70 ** KEPT (pick-wt=20): 24 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 3.57/3.70 ** KEPT (pick-wt=19): 25 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 3.57/3.70 ** KEPT (pick-wt=21): 27 [copy,26,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 3.57/3.70 ** KEPT (pick-wt=24): 28 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 3.57/3.70 ** KEPT (pick-wt=22): 29 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 3.57/3.70 ** KEPT (pick-wt=21): 30 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 3.57/3.70 ** KEPT (pick-wt=26): 32 [copy,31,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 3.57/3.70 ** KEPT (pick-wt=30): 33 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f7(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f7(A,C,B)!=apply(A,D).
% 3.57/3.70 ** KEPT (pick-wt=17): 34 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 3.57/3.70 ** KEPT (pick-wt=19): 35 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.57/3.70 ** KEPT (pick-wt=22): 36 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)|in(ordered_pair(D,E),B)| -in(E,C)| -in(ordered_pair(D,E),A).
% 3.57/3.70 ** KEPT (pick-wt=26): 37 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in($f8(C,A,B),C).
% 3.57/3.70 ** KEPT (pick-wt=31): 38 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 3.57/3.70 ** KEPT (pick-wt=37): 39 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)| -in($f8(C,A,B),C)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 3.57/3.70 ** KEPT (pick-wt=16): 40 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 3.57/3.70 ** KEPT (pick-wt=17): 41 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 3.57/3.70 ** KEPT (pick-wt=21): 42 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 3.57/3.70 ** KEPT (pick-wt=22): 43 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 3.57/3.70 ** KEPT (pick-wt=23): 44 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 3.57/3.70 ** KEPT (pick-wt=30): 45 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f10(A,C,B),B)| -in($f10(A,C,B),relation_dom(A))| -in(apply(A,$f10(A,C,B)),C).
% 3.57/3.70 ** KEPT (pick-wt=19): 46 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 3.57/3.70 ** KEPT (pick-wt=17): 47 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 3.57/3.70 ** KEPT (pick-wt=18): 48 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 3.57/3.70 ** KEPT (pick-wt=24): 49 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 3.57/3.70 ** KEPT (pick-wt=19): 50 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 3.57/3.70 ** KEPT (pick-wt=24): 51 [] -relation(A)|B=relation_image(A,C)| -in($f13(A,C,B),B)| -in(ordered_pair(D,$f13(A,C,B)),A)| -in(D,C).
% 3.57/3.70 ** KEPT (pick-wt=19): 52 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 3.57/3.70 ** KEPT (pick-wt=17): 53 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 3.57/3.70 ** KEPT (pick-wt=18): 54 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 3.57/3.70 ** KEPT (pick-wt=24): 55 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 3.57/3.70 ** KEPT (pick-wt=19): 56 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 3.57/3.70 ** KEPT (pick-wt=24): 57 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f16(A,C,B),B)| -in(ordered_pair($f16(A,C,B),D),A)| -in(D,C).
% 3.57/3.70 ** KEPT (pick-wt=18): 58 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 3.57/3.70 ** KEPT (pick-wt=12): 59 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 3.57/3.70 ** KEPT (pick-wt=12): 60 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 3.57/3.70 ** KEPT (pick-wt=12): 61 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 3.57/3.70 ** KEPT (pick-wt=20): 62 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 3.57/3.70 ** KEPT (pick-wt=20): 63 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 3.57/3.70 ** KEPT (pick-wt=20): 64 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 3.57/3.70 ** KEPT (pick-wt=14): 66 [copy,65,flip.3] -relation(A)| -in(B,A)|ordered_pair($f19(A,B),$f18(A,B))=B.
% 3.57/3.70 ** KEPT (pick-wt=8): 67 [] relation(A)|$f20(A)!=ordered_pair(B,C).
% 3.57/3.70 ** KEPT (pick-wt=16): 68 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.57/3.70 ** KEPT (pick-wt=16): 69 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f21(A,B,C),A).
% 3.57/3.70 ** KEPT (pick-wt=16): 70 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f21(A,B,C)).
% 3.57/3.70 ** KEPT (pick-wt=20): 71 [] A=empty_set|B=set_meet(A)|in($f23(A,B),B)| -in(C,A)|in($f23(A,B),C).
% 3.57/3.70 ** KEPT (pick-wt=17): 72 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)|in($f22(A,B),A).
% 3.57/3.70 ** KEPT (pick-wt=19): 73 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)| -in($f23(A,B),$f22(A,B)).
% 3.57/3.70 ** KEPT (pick-wt=10): 74 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.57/3.70 ** KEPT (pick-wt=10): 75 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.57/3.70 ** KEPT (pick-wt=10): 76 [] A!=singleton(B)| -in(C,A)|C=B.
% 3.57/3.70 ** KEPT (pick-wt=10): 77 [] A!=singleton(B)|in(C,A)|C!=B.
% 3.57/3.70 ** KEPT (pick-wt=14): 78 [] A=singleton(B)| -in($f24(B,A),A)|$f24(B,A)!=B.
% 3.57/3.70 ** KEPT (pick-wt=6): 79 [] A!=empty_set| -in(B,A).
% 3.57/3.70 ** KEPT (pick-wt=10): 80 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 3.57/3.70 ** KEPT (pick-wt=10): 81 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 3.57/3.70 ** KEPT (pick-wt=14): 82 [] A=powerset(B)| -in($f26(B,A),A)| -subset($f26(B,A),B).
% 3.57/3.70 ** KEPT (pick-wt=8): 83 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 3.57/3.70 ** KEPT (pick-wt=6): 84 [] epsilon_transitive(A)| -subset($f27(A),A).
% 3.57/3.70 ** KEPT (pick-wt=17): 85 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.57/3.70 ** KEPT (pick-wt=17): 86 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.57/3.70 ** KEPT (pick-wt=25): 87 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f29(A,B),$f28(A,B)),A)|in(ordered_pair($f29(A,B),$f28(A,B)),B).
% 3.57/3.70 ** KEPT (pick-wt=25): 88 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f29(A,B),$f28(A,B)),A)| -in(ordered_pair($f29(A,B),$f28(A,B)),B).
% 3.57/3.70 ** KEPT (pick-wt=8): 89 [] empty(A)| -element(B,A)|in(B,A).
% 3.57/3.70 ** KEPT (pick-wt=8): 90 [] empty(A)|element(B,A)| -in(B,A).
% 3.57/3.70 ** KEPT (pick-wt=7): 91 [] -empty(A)| -element(B,A)|empty(B).
% 3.57/3.70 ** KEPT (pick-wt=7): 92 [] -empty(A)|element(B,A)| -empty(B).
% 3.57/3.70 ** KEPT (pick-wt=14): 93 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 3.57/3.70 ** KEPT (pick-wt=11): 94 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 3.57/3.70 ** KEPT (pick-wt=11): 95 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 3.57/3.71 ** KEPT (pick-wt=17): 96 [] A=unordered_pair(B,C)| -in($f30(B,C,A),A)|$f30(B,C,A)!=B.
% 3.57/3.71 ** KEPT (pick-wt=17): 97 [] A=unordered_pair(B,C)| -in($f30(B,C,A),A)|$f30(B,C,A)!=C.
% 3.57/3.71 ** KEPT (pick-wt=14): 98 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 3.57/3.71 ** KEPT (pick-wt=11): 99 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 3.57/3.71 ** KEPT (pick-wt=11): 100 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 3.57/3.71 ** KEPT (pick-wt=17): 101 [] A=set_union2(B,C)| -in($f31(B,C,A),A)| -in($f31(B,C,A),B).
% 3.57/3.71 ** KEPT (pick-wt=17): 102 [] A=set_union2(B,C)| -in($f31(B,C,A),A)| -in($f31(B,C,A),C).
% 3.57/3.71 ** KEPT (pick-wt=15): 103 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f33(B,C,A,D),B).
% 3.57/3.71 ** KEPT (pick-wt=15): 104 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f32(B,C,A,D),C).
% 3.57/3.71 ** KEPT (pick-wt=21): 106 [copy,105,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f33(B,C,A,D),$f32(B,C,A,D))=D.
% 3.57/3.71 ** KEPT (pick-wt=19): 107 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 3.57/3.71 ** KEPT (pick-wt=25): 108 [] A=cartesian_product2(B,C)| -in($f36(B,C,A),A)| -in(D,B)| -in(E,C)|$f36(B,C,A)!=ordered_pair(D,E).
% 3.57/3.71 ** KEPT (pick-wt=17): 109 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 3.57/3.71 ** KEPT (pick-wt=7): 110 [] epsilon_connected(A)| -in($f38(A),$f37(A)).
% 3.57/3.71 ** KEPT (pick-wt=7): 111 [] epsilon_connected(A)|$f38(A)!=$f37(A).
% 3.57/3.71 ** KEPT (pick-wt=7): 112 [] epsilon_connected(A)| -in($f37(A),$f38(A)).
% 3.57/3.71 ** KEPT (pick-wt=17): 113 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.57/3.71 ** KEPT (pick-wt=16): 114 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f40(A,B),$f39(A,B)),A).
% 3.57/3.71 ** KEPT (pick-wt=16): 115 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f40(A,B),$f39(A,B)),B).
% 3.57/3.71 ** KEPT (pick-wt=9): 116 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.57/3.71 ** KEPT (pick-wt=8): 117 [] subset(A,B)| -in($f41(A,B),B).
% 3.57/3.71 ** KEPT (pick-wt=11): 118 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 3.57/3.71 ** KEPT (pick-wt=11): 119 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 3.57/3.71 ** KEPT (pick-wt=14): 120 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 3.57/3.71 ** KEPT (pick-wt=23): 121 [] A=set_intersection2(B,C)| -in($f42(B,C,A),A)| -in($f42(B,C,A),B)| -in($f42(B,C,A),C).
% 3.57/3.71 ** KEPT (pick-wt=18): 122 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.57/3.71 ** KEPT (pick-wt=18): 123 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.57/3.71 ** KEPT (pick-wt=16): 124 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.57/3.71 ** KEPT (pick-wt=16): 125 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.57/3.71 ** KEPT (pick-wt=17): 126 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f43(A,B,C)),A).
% 3.57/3.71 ** KEPT (pick-wt=14): 127 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.57/3.71 ** KEPT (pick-wt=20): 128 [] -relation(A)|B=relation_dom(A)|in($f45(A,B),B)|in(ordered_pair($f45(A,B),$f44(A,B)),A).
% 3.57/3.71 ** KEPT (pick-wt=18): 129 [] -relation(A)|B=relation_dom(A)| -in($f45(A,B),B)| -in(ordered_pair($f45(A,B),C),A).
% 3.57/3.71 ** KEPT (pick-wt=13): 130 [] A!=union(B)| -in(C,A)|in(C,$f46(B,A,C)).
% 3.57/3.71 ** KEPT (pick-wt=13): 131 [] A!=union(B)| -in(C,A)|in($f46(B,A,C),B).
% 3.57/3.71 ** KEPT (pick-wt=13): 132 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 3.57/3.71 ** KEPT (pick-wt=17): 133 [] A=union(B)| -in($f48(B,A),A)| -in($f48(B,A),C)| -in(C,B).
% 3.57/3.71 ** KEPT (pick-wt=11): 134 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 3.57/3.71 ** KEPT (pick-wt=11): 135 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 3.57/3.71 ** KEPT (pick-wt=14): 136 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 3.57/3.71 ** KEPT (pick-wt=17): 137 [] A=set_difference(B,C)|in($f49(B,C,A),A)| -in($f49(B,C,A),C).
% 3.57/3.71 ** KEPT (pick-wt=23): 138 [] A=set_difference(B,C)| -in($f49(B,C,A),A)| -in($f49(B,C,A),B)|in($f49(B,C,A),C).
% 3.57/3.71 ** KEPT (pick-wt=18): 139 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f50(A,B,C),relation_dom(A)).
% 3.57/3.71 ** KEPT (pick-wt=19): 141 [copy,140,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f50(A,B,C))=C.
% 3.57/3.71 ** KEPT (pick-wt=20): 142 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.57/3.71 ** KEPT (pick-wt=19): 143 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f52(A,B),B)|in($f51(A,B),relation_dom(A)).
% 3.57/3.71 ** KEPT (pick-wt=22): 145 [copy,144,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f52(A,B),B)|apply(A,$f51(A,B))=$f52(A,B).
% 3.57/3.71 ** KEPT (pick-wt=24): 146 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f52(A,B),B)| -in(C,relation_dom(A))|$f52(A,B)!=apply(A,C).
% 3.57/3.71 ** KEPT (pick-wt=17): 147 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f53(A,B,C),C),A).
% 3.57/3.71 ** KEPT (pick-wt=14): 148 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.57/3.71 ** KEPT (pick-wt=20): 149 [] -relation(A)|B=relation_rng(A)|in($f55(A,B),B)|in(ordered_pair($f54(A,B),$f55(A,B)),A).
% 3.57/3.71 ** KEPT (pick-wt=18): 150 [] -relation(A)|B=relation_rng(A)| -in($f55(A,B),B)| -in(ordered_pair(C,$f55(A,B)),A).
% 3.57/3.71 ** KEPT (pick-wt=11): 151 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 3.57/3.71 ** KEPT (pick-wt=10): 153 [copy,152,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 3.57/3.71 ** KEPT (pick-wt=18): 154 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.57/3.71 ** KEPT (pick-wt=18): 155 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.57/3.71 ** KEPT (pick-wt=26): 156 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f57(A,B),$f56(A,B)),B)|in(ordered_pair($f56(A,B),$f57(A,B)),A).
% 3.57/3.71 ** KEPT (pick-wt=26): 157 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f57(A,B),$f56(A,B)),B)| -in(ordered_pair($f56(A,B),$f57(A,B)),A).
% 3.57/3.71 ** KEPT (pick-wt=8): 158 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.57/3.71 ** KEPT (pick-wt=8): 159 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.57/3.71 ** KEPT (pick-wt=24): 160 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.57/3.71 ** KEPT (pick-wt=11): 161 [] -relation(A)| -function(A)|one_to_one(A)|in($f59(A),relation_dom(A)).
% 3.57/3.71 ** KEPT (pick-wt=11): 162 [] -relation(A)| -function(A)|one_to_one(A)|in($f58(A),relation_dom(A)).
% 3.57/3.71 ** KEPT (pick-wt=15): 163 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f59(A))=apply(A,$f58(A)).
% 3.57/3.71 ** KEPT (pick-wt=11): 164 [] -relation(A)| -function(A)|one_to_one(A)|$f59(A)!=$f58(A).
% 3.57/3.71 ** KEPT (pick-wt=26): 165 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f60(A,B,C,D,E)),A).
% 3.57/3.71 ** KEPT (pick-wt=26): 166 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f60(A,B,C,D,E),E),B).
% 3.57/3.71 ** KEPT (pick-wt=26): 167 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.57/3.71 ** KEPT (pick-wt=33): 168 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f63(A,B,C),$f62(A,B,C)),C)|in(ordered_pair($f63(A,B,C),$f61(A,B,C)),A).
% 3.57/3.71 ** KEPT (pick-wt=33): 169 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f63(A,B,C),$f62(A,B,C)),C)|in(ordered_pair($f61(A,B,C),$f62(A,B,C)),B).
% 3.57/3.71 ** KEPT (pick-wt=38): 170 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f63(A,B,C),$f62(A,B,C)),C)| -in(ordered_pair($f63(A,B,C),D),A)| -in(ordered_pair(D,$f62(A,B,C)),B).
% 3.57/3.71 ** KEPT (pick-wt=27): 171 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))| -in(D,C)|in(subset_complement(B,D),A).
% 3.57/3.71 ** KEPT (pick-wt=27): 172 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))|in(D,C)| -in(subset_complement(B,D),A).
% 3.57/3.71 ** KEPT (pick-wt=22): 173 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f64(B,A,C),powerset(B)).
% 3.57/3.71 ** KEPT (pick-wt=29): 174 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f64(B,A,C),C)|in(subset_complement(B,$f64(B,A,C)),A).
% 3.57/3.71 ** KEPT (pick-wt=29): 175 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f64(B,A,C),C)| -in(subset_complement(B,$f64(B,A,C)),A).
% 3.57/3.71 ** KEPT (pick-wt=6): 176 [] -proper_subset(A,B)|subset(A,B).
% 3.57/3.71 ** KEPT (pick-wt=6): 177 [] -proper_subset(A,B)|A!=B.
% 3.57/3.71 ** KEPT (pick-wt=9): 178 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.57/3.71 ** KEPT (pick-wt=11): 180 [copy,179,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 3.57/3.71 ** KEPT (pick-wt=7): 181 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.57/3.71 ** KEPT (pick-wt=7): 182 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.57/3.71 ** KEPT (pick-wt=10): 183 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 3.57/3.71 ** KEPT (pick-wt=5): 184 [] -relation(A)|relation(relation_inverse(A)).
% 3.57/3.71 ** KEPT (pick-wt=8): 185 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=11): 186 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 3.57/3.71 ** KEPT (pick-wt=11): 187 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 3.57/3.71 ** KEPT (pick-wt=15): 188 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 3.57/3.71 ** KEPT (pick-wt=6): 189 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=12): 190 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 3.57/3.71 ** KEPT (pick-wt=6): 191 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 3.57/3.71 ** KEPT (pick-wt=8): 192 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.57/3.71 ** KEPT (pick-wt=8): 193 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.57/3.71 ** KEPT (pick-wt=5): 194 [] -empty(A)|empty(relation_inverse(A)).
% 3.57/3.71 ** KEPT (pick-wt=5): 195 [] -empty(A)|relation(relation_inverse(A)).
% 3.57/3.71 Following clause subsumed by 189 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=8): 196 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.57/3.71 Following clause subsumed by 185 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=12): 197 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=3): 198 [] -empty(succ(A)).
% 3.57/3.71 ** KEPT (pick-wt=8): 199 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=3): 200 [] -empty(powerset(A)).
% 3.57/3.71 ** KEPT (pick-wt=4): 201 [] -empty(ordered_pair(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=8): 202 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=3): 203 [] -empty(singleton(A)).
% 3.57/3.71 ** KEPT (pick-wt=6): 204 [] empty(A)| -empty(set_union2(A,B)).
% 3.57/3.71 Following clause subsumed by 184 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.57/3.71 ** KEPT (pick-wt=9): 205 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.57/3.71 ** KEPT (pick-wt=8): 206 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=4): 207 [] -empty(unordered_pair(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=6): 208 [] empty(A)| -empty(set_union2(B,A)).
% 3.57/3.71 Following clause subsumed by 189 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=8): 209 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=8): 210 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.57/3.71 ** KEPT (pick-wt=7): 211 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.57/3.71 ** KEPT (pick-wt=7): 212 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.57/3.71 ** KEPT (pick-wt=5): 213 [] -empty(A)|empty(relation_dom(A)).
% 3.57/3.71 ** KEPT (pick-wt=5): 214 [] -empty(A)|relation(relation_dom(A)).
% 3.57/3.71 ** KEPT (pick-wt=5): 215 [] -empty(A)|empty(relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=5): 216 [] -empty(A)|relation(relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=8): 217 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.57/3.72 ** KEPT (pick-wt=8): 218 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.57/3.72 ** KEPT (pick-wt=11): 219 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 3.57/3.72 ** KEPT (pick-wt=7): 220 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.57/3.72 ** KEPT (pick-wt=12): 221 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 3.57/3.72 ** KEPT (pick-wt=3): 222 [] -proper_subset(A,A).
% 3.57/3.72 ** KEPT (pick-wt=4): 223 [] singleton(A)!=empty_set.
% 3.57/3.72 ** KEPT (pick-wt=9): 224 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.57/3.72 ** KEPT (pick-wt=7): 225 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.57/3.72 ** KEPT (pick-wt=7): 226 [] -subset(singleton(A),B)|in(A,B).
% 3.57/3.72 ** KEPT (pick-wt=7): 227 [] subset(singleton(A),B)| -in(A,B).
% 3.57/3.72 ** KEPT (pick-wt=8): 228 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.57/3.72 ** KEPT (pick-wt=8): 229 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.57/3.72 ** KEPT (pick-wt=10): 230 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 3.57/3.72 ** KEPT (pick-wt=12): 231 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.57/3.72 ** KEPT (pick-wt=11): 232 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.57/3.72 ** KEPT (pick-wt=7): 233 [] subset(A,singleton(B))|A!=empty_set.
% 3.57/3.72 Following clause subsumed by 15 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.57/3.72 ** KEPT (pick-wt=7): 234 [] -in(A,B)|subset(A,union(B)).
% 3.57/3.72 ** KEPT (pick-wt=10): 235 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.57/3.72 ** KEPT (pick-wt=10): 236 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.57/3.72 ** KEPT (pick-wt=13): 237 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.57/3.72 ** KEPT (pick-wt=9): 238 [] -in($f66(A,B),B)|element(A,powerset(B)).
% 3.57/3.72 ** KEPT (pick-wt=14): 239 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.57/3.72 ** KEPT (pick-wt=13): 240 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.57/3.72 ** KEPT (pick-wt=17): 241 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 3.57/3.72 ** KEPT (pick-wt=5): 242 [] empty(A)| -empty($f67(A)).
% 3.57/3.72 ** KEPT (pick-wt=2): 243 [] -empty($c6).
% 3.57/3.72 ** KEPT (pick-wt=2): 244 [] -empty($c7).
% 3.57/3.72 ** KEPT (pick-wt=11): 245 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 3.57/3.72 ** KEPT (pick-wt=11): 246 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 3.57/3.72 ** KEPT (pick-wt=16): 247 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 3.57/3.72 ** KEPT (pick-wt=6): 248 [] -disjoint(A,B)|disjoint(B,A).
% 3.57/3.72 Following clause subsumed by 235 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.57/3.72 Following clause subsumed by 236 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.57/3.72 Following clause subsumed by 237 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.57/3.72 ** KEPT (pick-wt=13): 249 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.57/3.72 ** KEPT (pick-wt=11): 250 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 3.57/3.72 ** KEPT (pick-wt=12): 251 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=15): 252 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=8): 253 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 3.57/3.72 ** KEPT (pick-wt=7): 254 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 3.57/3.72 ** KEPT (pick-wt=9): 255 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=10): 256 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.57/3.72 ** KEPT (pick-wt=10): 257 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.57/3.72 ** KEPT (pick-wt=11): 258 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 3.57/3.72 ** KEPT (pick-wt=13): 259 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.57/3.72 ** KEPT (pick-wt=8): 260 [] -subset(A,B)|set_union2(A,B)=B.
% 3.57/3.72 ** KEPT (pick-wt=11): 261 [] -in(A,$f69(B))| -subset(C,A)|in(C,$f69(B)).
% 3.57/3.72 ** KEPT (pick-wt=9): 262 [] -in(A,$f69(B))|in(powerset(A),$f69(B)).
% 3.57/3.72 ** KEPT (pick-wt=12): 263 [] -subset(A,$f69(B))|are_e_quipotent(A,$f69(B))|in(A,$f69(B)).
% 3.57/3.72 ** KEPT (pick-wt=13): 265 [copy,264,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 3.57/3.72 ** KEPT (pick-wt=14): 266 [] -relation(A)| -in(B,relation_image(A,C))|in($f70(B,C,A),relation_dom(A)).
% 3.57/3.72 ** KEPT (pick-wt=15): 267 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f70(B,C,A),B),A).
% 3.57/3.72 ** KEPT (pick-wt=13): 268 [] -relation(A)| -in(B,relation_image(A,C))|in($f70(B,C,A),C).
% 3.57/3.72 ** KEPT (pick-wt=19): 269 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 3.57/3.72 ** KEPT (pick-wt=8): 270 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=11): 271 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 3.57/3.72 ** KEPT (pick-wt=12): 273 [copy,272,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 3.57/3.72 ** KEPT (pick-wt=13): 274 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 3.57/3.72 ** KEPT (pick-wt=9): 276 [copy,275,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 3.57/3.72 ** KEPT (pick-wt=15): 277 [] -relation(A)| -function(A)| -subset(B,relation_rng(A))|relation_image(A,relation_inverse_image(A,B))=B.
% 3.57/3.72 ** KEPT (pick-wt=13): 278 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=14): 279 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f71(B,C,A),relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=15): 280 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f71(B,C,A)),A).
% 3.57/3.72 ** KEPT (pick-wt=13): 281 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f71(B,C,A),C).
% 3.57/3.72 ** KEPT (pick-wt=19): 282 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 3.57/3.72 ** KEPT (pick-wt=8): 283 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 3.57/3.72 ** KEPT (pick-wt=14): 284 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 3.57/3.72 ** KEPT (pick-wt=12): 285 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 3.57/3.72 ** KEPT (pick-wt=11): 286 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.57/3.72 ** KEPT (pick-wt=6): 287 [] -in(A,B)|element(A,B).
% 3.57/3.72 ** KEPT (pick-wt=9): 288 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.57/3.72 ** KEPT (pick-wt=11): 289 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.57/3.72 ** KEPT (pick-wt=11): 290 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 3.57/3.72 ** KEPT (pick-wt=18): 291 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 3.57/3.72 ** KEPT (pick-wt=20): 292 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 3.57/3.72 ** KEPT (pick-wt=24): 293 [] -relation(A)| -function(A)| -relation(B)| -function(B)|in(C,relation_dom(relation_composition(B,A)))| -in(C,relation_dom(B))| -in(apply(B,C),relation_dom(A)).
% 3.57/3.72 ** KEPT (pick-wt=3): 294 [] -in($c12,$c11).
% 3.57/3.72 ** KEPT (pick-wt=9): 295 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.57/3.72 ** KEPT (pick-wt=25): 296 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|apply(relation_composition(B,A),C)=apply(A,apply(B,C)).
% 3.57/3.72 ** KEPT (pick-wt=23): 297 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 3.57/3.73 ** KEPT (pick-wt=12): 298 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.57/3.73 ** KEPT (pick-wt=12): 299 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.57/3.73 ** KEPT (pick-wt=10): 300 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.57/3.73 ** KEPT (pick-wt=8): 301 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.57/3.73 Following clause subsumed by 89 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.57/3.73 ** KEPT (pick-wt=13): 302 [] -in($f72(A,B),A)| -in($f72(A,B),B)|A=B.
% 3.57/3.73 ** KEPT (pick-wt=11): 303 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 3.57/3.73 ** KEPT (pick-wt=11): 304 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 3.57/3.73 ** KEPT (pick-wt=10): 305 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.57/3.73 ** KEPT (pick-wt=10): 306 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.57/3.73 ** KEPT (pick-wt=10): 307 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.57/3.73 ** KEPT (pick-wt=12): 308 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 3.57/3.73 ** KEPT (pick-wt=16): 309 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 3.57/3.73 ** KEPT (pick-wt=17): 310 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f73(B,A),B).
% 3.57/3.73 ** KEPT (pick-wt=21): 311 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f73(B,A))!=$f73(B,A).
% 3.57/3.73 ** KEPT (pick-wt=9): 312 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 3.57/3.73 ** KEPT (pick-wt=8): 313 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.57/3.73 ** KEPT (pick-wt=8): 315 [copy,314,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 3.57/3.73 Following clause subsumed by 228 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.57/3.73 Following clause subsumed by 229 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.57/3.73 Following clause subsumed by 226 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 3.57/3.73 Following clause subsumed by 227 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 3.57/3.73 ** KEPT (pick-wt=8): 316 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.57/3.73 ** KEPT (pick-wt=8): 317 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.57/3.73 ** KEPT (pick-wt=11): 318 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.57/3.73 Following clause subsumed by 232 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.57/3.73 Following clause subsumed by 233 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.57/3.73 Following clause subsumed by 15 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.57/3.73 ** KEPT (pick-wt=9): 319 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.57/3.73 ** KEPT (pick-wt=7): 320 [] -element(A,powerset(B))|subset(A,B).
% 3.57/3.73 ** KEPT (pick-wt=7): 321 [] element(A,powerset(B))| -subset(A,B).
% 3.57/3.73 ** KEPT (pick-wt=9): 322 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 3.57/3.73 ** KEPT (pick-wt=6): 323 [] -subset(A,empty_set)|A=empty_set.
% 3.57/3.73 ** KEPT (pick-wt=16): 324 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 3.57/3.73 ** KEPT (pick-wt=16): 325 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 3.57/3.73 ** KEPT (pick-wt=11): 326 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.57/3.73 ** KEPT (pick-wt=11): 327 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.57/3.73 ** KEPT (pick-wt=10): 329 [copy,328,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 3.57/3.73 ** KEPT (pick-wt=16): 330 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.57/3.73 ** KEPT (pick-wt=13): 331 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 3.57/3.73 Following clause subsumed by 224 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.57/3.73 ** KEPT (pick-wt=16): 332 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.57/3.73 ** KEPT (pick-wt=21): 333 [] -element(A,powerset(powerset(B)))|A=empty_set|subset_difference(B,cast_to_subset(B),union_of_subsets(B,A))=meet_of_subsets(B,complements_of_subsets(B,A)).
% 3.65/3.78 ** KEPT (pick-wt=21): 334 [] -element(A,powerset(powerset(B)))|A=empty_set|union_of_subsets(B,complements_of_subsets(B,A))=subset_difference(B,cast_to_subset(B),meet_of_subsets(B,A)).
% 3.65/3.78 ** KEPT (pick-wt=10): 335 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.65/3.78 ** KEPT (pick-wt=8): 336 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 3.65/3.78 ** KEPT (pick-wt=18): 337 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.65/3.78 ** KEPT (pick-wt=19): 338 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.65/3.78 ** KEPT (pick-wt=27): 339 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 3.65/3.78 ** KEPT (pick-wt=28): 340 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 3.65/3.78 ** KEPT (pick-wt=27): 341 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|in(D,relation_rng(A)).
% 3.65/3.78 ** KEPT (pick-wt=28): 342 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|C=apply(B,D).
% 3.65/3.78 ** KEPT (pick-wt=31): 343 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f77(A,B),relation_rng(A))|in($f76(A,B),relation_dom(A)).
% 3.65/3.78 ** KEPT (pick-wt=34): 345 [copy,344,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f77(A,B),relation_rng(A))|apply(A,$f76(A,B))=$f77(A,B).
% 3.65/3.78 ** KEPT (pick-wt=34): 347 [copy,346,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,$f77(A,B))=$f76(A,B)|in($f76(A,B),relation_dom(A)).
% 3.65/3.78 ** KEPT (pick-wt=37): 349 [copy,348,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f77(A,B))=$f76(A,B)|apply(A,$f76(A,B))=$f77(A,B).
% 3.65/3.78 ** KEPT (pick-wt=49): 351 [copy,350,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f76(A,B),relation_dom(A))|apply(A,$f76(A,B))!=$f77(A,B)| -in($f77(A,B),relation_rng(A))|apply(B,$f77(A,B))!=$f76(A,B).
% 3.65/3.78 ** KEPT (pick-wt=12): 352 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 3.65/3.78 ** KEPT (pick-wt=12): 353 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.65/3.78 ** KEPT (pick-wt=12): 355 [copy,354,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 3.65/3.78 ** KEPT (pick-wt=12): 356 [] -relation(A)|in(ordered_pair($f79(A),$f78(A)),A)|A=empty_set.
% 3.65/3.78 ** KEPT (pick-wt=18): 358 [copy,357,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 3.65/3.78 ** KEPT (pick-wt=18): 360 [copy,359,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 3.65/3.78 ** KEPT (pick-wt=9): 361 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.65/3.78 ** KEPT (pick-wt=6): 362 [] -subset(A,B)| -proper_subset(B,A).
% 3.65/3.78 ** KEPT (pick-wt=9): 363 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.65/3.78 ** KEPT (pick-wt=9): 364 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.65/3.78 ** KEPT (pick-wt=9): 365 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.65/3.78 ** KEPT (pick-wt=9): 366 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.65/3.78 ** KEPT (pick-wt=10): 367 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.65/3.78 ** KEPT (pick-wt=10): 368 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.65/3.78 ** KEPT (pick-wt=9): 369 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.65/3.78 ** KEPT (pick-wt=20): 370 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 3.65/3.78 ** KEPT (pick-wt=24): 371 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)| -in(D,relation_dom(A))|apply(A,D)=apply(B,D).
% 3.65/3.78 ** KEPT (pick-wt=27): 372 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f80(C,A,B),relation_dom(A)).
% 3.65/3.78 ** KEPT (pick-wt=33): 373 [] -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,$f80(C,A,B))!=apply(B,$f80(C,A,B)).
% 3.65/3.78 ** KEPT (pick-wt=5): 374 [] -empty(A)|A=empty_set.
% 3.65/3.78 ** KEPT (pick-wt=8): 375 [] -subset(singleton(A),singleton(B))|A=B.
% 3.65/3.78 ** KEPT (pick-wt=19): 376 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.65/3.78 ** KEPT (pick-wt=16): 377 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.65/3.78 ** KEPT (pick-wt=13): 378 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 3.65/3.78 ** KEPT (pick-wt=15): 379 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 3.65/3.78 ** KEPT (pick-wt=18): 380 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 3.65/3.78 ** KEPT (pick-wt=5): 381 [] -in(A,B)| -empty(B).
% 3.65/3.78 ** KEPT (pick-wt=8): 382 [] -in(A,B)|in($f81(A,B),B).
% 3.65/3.78 ** KEPT (pick-wt=11): 383 [] -in(A,B)| -in(C,B)| -in(C,$f81(A,B)).
% 3.65/3.78 ** KEPT (pick-wt=8): 384 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.65/3.78 ** KEPT (pick-wt=8): 385 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.65/3.78 ** KEPT (pick-wt=11): 386 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.65/3.78 ** KEPT (pick-wt=12): 387 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.65/3.78 ** KEPT (pick-wt=15): 388 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 3.65/3.78 ** KEPT (pick-wt=7): 389 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 3.65/3.78 ** KEPT (pick-wt=7): 390 [] -empty(A)|A=B| -empty(B).
% 3.65/3.78 Following clause subsumed by 289 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.65/3.78 ** KEPT (pick-wt=14): 391 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 3.65/3.78 Following clause subsumed by 122 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 3.65/3.78 ** KEPT (pick-wt=11): 392 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.65/3.78 ** KEPT (pick-wt=9): 393 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.65/3.78 ** KEPT (pick-wt=11): 394 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 3.65/3.78 Following clause subsumed by 234 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 3.65/3.78 ** KEPT (pick-wt=10): 395 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 3.65/3.78 ** KEPT (pick-wt=9): 396 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 3.65/3.78 ** KEPT (pick-wt=11): 397 [] -in(A,$f83(B))| -subset(C,A)|in(C,$f83(B)).
% 3.65/3.78 ** KEPT (pick-wt=10): 398 [] -in(A,$f83(B))|in($f82(B,A),$f83(B)).
% 3.65/3.78 ** KEPT (pick-wt=12): 399 [] -in(A,$f83(B))| -subset(C,A)|in(C,$f82(B,A)).
% 3.65/3.78 ** KEPT (pick-wt=12): 400 [] -subset(A,$f83(B))|are_e_quipotent(A,$f83(B))|in(A,$f83(B)).
% 3.65/3.78 ** KEPT (pick-wt=9): 401 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.65/3.78 116 back subsumes 113.
% 3.65/3.78 287 back subsumes 90.
% 3.65/3.78 386 back subsumes 240.
% 3.65/3.78 387 back subsumes 239.
% 3.65/3.78 388 back subsumes 241.
% 3.65/3.78 391 back subsumes 123.
% 3.65/3.78 407 back subsumes 406.
% 3.65/3.78 415 back subsumes 414.
% 3.65/3.78
% 3.65/3.78 ------------> process sos:
% 3.65/3.78 ** KEPT (pick-wt=3): 542 [] A=A.
% 3.65/3.78 ** KEPT (pick-wt=7): 543 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.65/3.79 ** KEPT (pick-wt=7): 544 [] set_union2(A,B)=set_union2(B,A).
% 3.65/3.79 ** KEPT (pick-wt=7): 545 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.65/3.79 ** KEPT (pick-wt=34): 546 [] A=unordered_triple(B,C,D)|in($f17(B,C,D,A),A)|$f17(B,C,D,A)=B|$f17(B,C,D,A)=C|$f17(B,C,D,A)=D.
% 3.65/3.79 ** KEPT (pick-wt=7): 547 [] succ(A)=set_union2(A,singleton(A)).
% 3.65/3.79 ---> New Demodulator: 548 [new_demod,547] succ(A)=set_union2(A,singleton(A)).
% 3.65/3.79 ** KEPT (pick-wt=6): 549 [] relation(A)|in($f20(A),A).
% 3.65/3.79 ** KEPT (pick-wt=14): 550 [] A=singleton(B)|in($f24(B,A),A)|$f24(B,A)=B.
% 3.65/3.79 ** KEPT (pick-wt=7): 551 [] A=empty_set|in($f25(A),A).
% 3.65/3.79 ** KEPT (pick-wt=14): 552 [] A=powerset(B)|in($f26(B,A),A)|subset($f26(B,A),B).
% 3.65/3.79 ** KEPT (pick-wt=6): 553 [] epsilon_transitive(A)|in($f27(A),A).
% 3.65/3.79 ** KEPT (pick-wt=23): 554 [] A=unordered_pair(B,C)|in($f30(B,C,A),A)|$f30(B,C,A)=B|$f30(B,C,A)=C.
% 3.65/3.79 ** KEPT (pick-wt=23): 555 [] A=set_union2(B,C)|in($f31(B,C,A),A)|in($f31(B,C,A),B)|in($f31(B,C,A),C).
% 3.65/3.79 ** KEPT (pick-wt=17): 556 [] A=cartesian_product2(B,C)|in($f36(B,C,A),A)|in($f35(B,C,A),B).
% 3.65/3.79 ** KEPT (pick-wt=17): 557 [] A=cartesian_product2(B,C)|in($f36(B,C,A),A)|in($f34(B,C,A),C).
% 3.65/3.79 ** KEPT (pick-wt=25): 559 [copy,558,flip.3] A=cartesian_product2(B,C)|in($f36(B,C,A),A)|ordered_pair($f35(B,C,A),$f34(B,C,A))=$f36(B,C,A).
% 3.65/3.79 ** KEPT (pick-wt=6): 560 [] epsilon_connected(A)|in($f38(A),A).
% 3.65/3.79 ** KEPT (pick-wt=6): 561 [] epsilon_connected(A)|in($f37(A),A).
% 3.65/3.79 ** KEPT (pick-wt=8): 562 [] subset(A,B)|in($f41(A,B),A).
% 3.65/3.79 ** KEPT (pick-wt=17): 563 [] A=set_intersection2(B,C)|in($f42(B,C,A),A)|in($f42(B,C,A),B).
% 3.65/3.79 ** KEPT (pick-wt=17): 564 [] A=set_intersection2(B,C)|in($f42(B,C,A),A)|in($f42(B,C,A),C).
% 3.65/3.79 ** KEPT (pick-wt=4): 565 [] cast_to_subset(A)=A.
% 3.65/3.79 ---> New Demodulator: 566 [new_demod,565] cast_to_subset(A)=A.
% 3.65/3.79 ** KEPT (pick-wt=16): 567 [] A=union(B)|in($f48(B,A),A)|in($f48(B,A),$f47(B,A)).
% 3.65/3.79 ** KEPT (pick-wt=14): 568 [] A=union(B)|in($f48(B,A),A)|in($f47(B,A),B).
% 3.65/3.79 ** KEPT (pick-wt=17): 569 [] A=set_difference(B,C)|in($f49(B,C,A),A)|in($f49(B,C,A),B).
% 3.65/3.79 ** KEPT (pick-wt=10): 571 [copy,570,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.65/3.79 ---> New Demodulator: 572 [new_demod,571] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.65/3.79 ** KEPT (pick-wt=4): 574 [copy,573,demod,566] element(A,powerset(A)).
% 3.65/3.79 ** KEPT (pick-wt=3): 575 [] relation(identity_relation(A)).
% 3.65/3.79 ** KEPT (pick-wt=4): 576 [] element($f65(A),A).
% 3.65/3.79 ** KEPT (pick-wt=2): 577 [] empty(empty_set).
% 3.65/3.79 ** KEPT (pick-wt=2): 578 [] relation(empty_set).
% 3.65/3.79 ** KEPT (pick-wt=2): 579 [] relation_empty_yielding(empty_set).
% 3.65/3.79 Following clause subsumed by 577 during input processing: 0 [] empty(empty_set).
% 3.65/3.79 Following clause subsumed by 575 during input processing: 0 [] relation(identity_relation(A)).
% 3.65/3.79 ** KEPT (pick-wt=3): 580 [] function(identity_relation(A)).
% 3.65/3.79 Following clause subsumed by 577 during input processing: 0 [] empty(empty_set).
% 3.65/3.79 Following clause subsumed by 578 during input processing: 0 [] relation(empty_set).
% 3.65/3.79 ** KEPT (pick-wt=5): 581 [] set_union2(A,A)=A.
% 3.65/3.79 ---> New Demodulator: 582 [new_demod,581] set_union2(A,A)=A.
% 3.65/3.79 ** KEPT (pick-wt=5): 583 [] set_intersection2(A,A)=A.
% 3.65/3.79 ---> New Demodulator: 584 [new_demod,583] set_intersection2(A,A)=A.
% 3.65/3.79 ** KEPT (pick-wt=7): 585 [] in(A,B)|disjoint(singleton(A),B).
% 3.65/3.79 ** KEPT (pick-wt=9): 586 [] in($f66(A,B),A)|element(A,powerset(B)).
% 3.65/3.79 ** KEPT (pick-wt=2): 587 [] relation($c1).
% 3.65/3.79 ** KEPT (pick-wt=2): 588 [] function($c1).
% 3.65/3.79 ** KEPT (pick-wt=2): 589 [] epsilon_transitive($c2).
% 3.65/3.79 ** KEPT (pick-wt=2): 590 [] epsilon_connected($c2).
% 3.65/3.79 ** KEPT (pick-wt=2): 591 [] ordinal($c2).
% 3.65/3.79 ** KEPT (pick-wt=2): 592 [] empty($c3).
% 3.65/3.79 ** KEPT (pick-wt=2): 593 [] relation($c3).
% 3.65/3.79 ** KEPT (pick-wt=7): 594 [] empty(A)|element($f67(A),powerset(A)).
% 3.65/3.79 ** KEPT (pick-wt=2): 595 [] empty($c4).
% 3.65/3.79 ** KEPT (pick-wt=2): 596 [] relation($c5).
% 3.65/3.79 ** KEPT (pick-wt=2): 597 [] empty($c5).
% 3.65/3.79 ** KEPT (pick-wt=2): 598 [] function($c5).
% 3.65/3.79 ** KEPT (pick-wt=2): 599 [] relation($c6).
% 3.65/3.79 ** KEPT (pick-wt=5): 600 [] element($f68(A),powerset(A)).
% 3.65/3.79 ** KEPT (pick-wt=3): 601 [] empty($f68(A)).
% 3.65/3.79 ** KEPT (pick-wt=2): 602 [] relation($c8).
% 3.65/3.79 ** KEPT (pick-wt=2): 603 [] function($c8).
% 3.65/3.79 ** KEPT (pick-wt=2): 604 [] one_to_one($c8).
% 3.65/3.79 ** KEPT (pick-wt=2): 605 [] relation($c9).
% 3.65/3.79 ** KEPT (pick-wt=2): 606 [] relation_empty_yielding($c9).
% 3.65/3.79 ** KEPT (pick-wt=2): 607 [] relation($c10).
% 3.65/3.79 ** KEPT (pick-wt=2): 608 [] relation_empty_yielding($c10).
% 3.65/3.79 ** KEPT (pick-wt=2): 609 [] function($c10).
% 3.65/3.79 ** KEPT (pick-wt=3): 610 [] subset(A,A).
% 3.65/3.79 ** KEPT (pick-wt=6): 612 [copy,611,demod,548] in(A,set_union2(A,singleton(A))).
% 3.65/3.79 ** KEPT (pick-wt=4): 613 [] in(A,$f69(A)).
% 3.65/3.79 ** KEPT (pick-wt=5): 614 [] subset(set_intersection2(A,B),A).
% 3.65/3.79 ** KEPT (pick-wt=5): 615 [] set_union2(A,empty_set)=A.
% 3.65/3.79 ---> New Demodulator: 616 [new_demod,615] set_union2(A,empty_set)=A.
% 3.65/3.79 ** KEPT (pick-wt=5): 618 [copy,617,flip.1] singleton(empty_set)=powerset(empty_set).
% 3.65/3.79 ---> New Demodulator: 619 [new_demod,618] singleton(empty_set)=powerset(empty_set).
% 3.65/3.79 ** KEPT (pick-wt=2): 620 [] epsilon_transitive($c12).
% 3.65/3.79 ** KEPT (pick-wt=2): 621 [] ordinal($c11).
% 3.65/3.79 ** KEPT (pick-wt=3): 622 [] proper_subset($c12,$c11).
% 3.65/3.79 ** KEPT (pick-wt=5): 623 [] set_intersection2(A,empty_set)=empty_set.
% 3.65/3.79 ---> New Demodulator: 624 [new_demod,623] set_intersection2(A,empty_set)=empty_set.
% 3.65/3.79 ** KEPT (pick-wt=13): 625 [] in($f72(A,B),A)|in($f72(A,B),B)|A=B.
% 3.65/3.79 ** KEPT (pick-wt=3): 626 [] subset(empty_set,A).
% 3.65/3.79 ** KEPT (pick-wt=5): 627 [] subset(set_difference(A,B),A).
% 3.65/3.79 ** KEPT (pick-wt=9): 628 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.65/3.79 ---> New Demodulator: 629 [new_demod,628] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.65/3.79 ** KEPT (pick-wt=5): 630 [] set_difference(A,empty_set)=A.
% 3.65/3.79 ---> New Demodulator: 631 [new_demod,630] set_difference(A,empty_set)=A.
% 3.65/3.79 ** KEPT (pick-wt=8): 632 [] disjoint(A,B)|in($f74(A,B),A).
% 3.65/3.79 ** KEPT (pick-wt=8): 633 [] disjoint(A,B)|in($f74(A,B),B).
% 3.65/3.79 ** KEPT (pick-wt=9): 634 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.65/3.79 ---> New Demodulator: 635 [new_demod,634] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.65/3.79 ** KEPT (pick-wt=9): 637 [copy,636,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.65/3.79 ---> New Demodulator: 638 [new_demod,637] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.65/3.79 ** KEPT (pick-wt=5): 639 [] set_difference(empty_set,A)=empty_set.
% 3.65/3.79 ---> New Demodulator: 640 [new_demod,639] set_difference(empty_set,A)=empty_set.
% 3.65/3.79 ** KEPT (pick-wt=12): 642 [copy,641,demod,638] disjoint(A,B)|in($f75(A,B),set_difference(A,set_difference(A,B))).
% 3.65/3.79 ** KEPT (pick-wt=4): 643 [] relation_dom(empty_set)=empty_set.
% 3.65/3.79 ---> New Demodulator: 644 [new_demod,643] relation_dom(empty_set)=empty_set.
% 3.65/3.79 ** KEPT (pick-wt=4): 645 [] relation_rng(empty_set)=empty_set.
% 3.65/3.79 ---> New Demodulator: 646 [new_demod,645] relation_rng(empty_set)=empty_set.
% 3.65/3.79 ** KEPT (pick-wt=9): 647 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.65/3.79 ** KEPT (pick-wt=6): 649 [copy,648,flip.1] singleton(A)=unordered_pair(A,A).
% 3.65/3.79 ---> New Demodulator: 650 [new_demod,649] singleton(A)=unordered_pair(A,A).
% 3.65/3.79 ** KEPT (pick-wt=5): 651 [] relation_dom(identity_relation(A))=A.
% 3.65/3.79 ---> New Demodulator: 652 [new_demod,651] relation_dom(identity_relation(A))=A.
% 3.65/3.79 ** KEPT (pick-wt=5): 653 [] relation_rng(identity_relation(A))=A.
% 3.65/3.79 ---> New Demodulator: 654 [new_demod,653] relation_rng(identity_relation(A))=A.
% 3.65/3.79 ** KEPT (pick-wt=5): 655 [] subset(A,set_union2(A,B)).
% 3.65/3.79 ** KEPT (pick-wt=5): 656 [] union(powerset(A))=A.
% 3.65/3.79 ---> New Demodulator: 657 [new_demod,656] union(powerset(A))=A.
% 3.65/3.79 ** KEPT (pick-wt=4): 658 [] in(A,$f83(A)).
% 3.65/3.79 Following clause subsumed by 542 during input processing: 0 [copy,542,flip.1] A=A.
% 3.65/3.79 542 back subsumes 528.
% 3.65/3.79 542 back subsumes 523.
% 3.65/3.79 542 back subsumes 503.
% 3.65/3.79 542 back subsumes 453.
% 3.65/3.79 542 back subsumes 438.
% 3.65/3.79 542 back subsumes 428.
% 3.65/3.79 542 back subsumes 427.
% 3.65/3.79 542 back subsumes 404.
% 3.65/3.79 Following clause subsumed by 543 during input processing: 0 [copy,543,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 3.65/3.79 Following clause subsumed by 544 during input processing: 0 [copy,544,flip.1] set_union2(A,B)=set_union2(B,A).
% 3.65/3.79 ** KEPT (pick-wt=11): 659 [copy,545,flip.1,demod,638,638] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 3.65/3.79 >>>> Starting back demodulation with 548.
% 3.65/3.79 >> back demodulating 198 with 548.
% 31.37/31.51 >>>> Starting back demodulation with 566.
% 31.37/31.51 >> back demodulating 334 with 566.
% 31.37/31.51 >> back demodulating 333 with 566.
% 31.37/31.51 >>>> Starting back demodulation with 572.
% 31.37/31.51 >>>> Starting back demodulation with 582.
% 31.37/31.51 >> back demodulating 529 with 582.
% 31.37/31.51 >> back demodulating 484 with 582.
% 31.37/31.51 >> back demodulating 431 with 582.
% 31.37/31.51 >>>> Starting back demodulation with 584.
% 31.37/31.51 >> back demodulating 533 with 584.
% 31.37/31.51 >> back demodulating 495 with 584.
% 31.37/31.51 >> back demodulating 483 with 584.
% 31.37/31.51 >> back demodulating 444 with 584.
% 31.37/31.51 >> back demodulating 441 with 584.
% 31.37/31.51 610 back subsumes 502.
% 31.37/31.51 610 back subsumes 501.
% 31.37/31.51 610 back subsumes 440.
% 31.37/31.51 610 back subsumes 439.
% 31.37/31.51 >>>> Starting back demodulation with 616.
% 31.37/31.51 >>>> Starting back demodulation with 619.
% 31.37/31.51 >>>> Starting back demodulation with 624.
% 31.37/31.51 >>>> Starting back demodulation with 629.
% 31.37/31.51 >> back demodulating 329 with 629.
% 31.37/31.51 >>>> Starting back demodulation with 631.
% 31.37/31.51 >>>> Starting back demodulation with 635.
% 31.37/31.51 >>>> Starting back demodulation with 638.
% 31.37/31.51 >> back demodulating 623 with 638.
% 31.37/31.51 >> back demodulating 614 with 638.
% 31.37/31.51 >> back demodulating 583 with 638.
% 31.37/31.51 >> back demodulating 564 with 638.
% 31.37/31.51 >> back demodulating 563 with 638.
% 31.37/31.51 >> back demodulating 545 with 638.
% 31.37/31.51 >> back demodulating 525 with 638.
% 31.37/31.51 >> back demodulating 524 with 638.
% 31.37/31.51 >> back demodulating 522 with 638.
% 31.37/31.51 >> back demodulating 443 with 638.
% 31.37/31.51 >> back demodulating 442 with 638.
% 31.37/31.51 >> back demodulating 394 with 638.
% 31.37/31.51 >> back demodulating 373 with 638.
% 31.37/31.51 >> back demodulating 372 with 638.
% 31.37/31.51 >> back demodulating 370 with 638.
% 31.37/31.51 >> back demodulating 336 with 638.
% 31.37/31.51 >> back demodulating 301 with 638.
% 31.37/31.51 >> back demodulating 300 with 638.
% 31.37/31.51 >> back demodulating 286 with 638.
% 31.37/31.51 >> back demodulating 273 with 638.
% 31.37/31.51 >> back demodulating 258 with 638.
% 31.37/31.51 >> back demodulating 199 with 638.
% 31.37/31.51 >> back demodulating 159 with 638.
% 31.37/31.51 >> back demodulating 158 with 638.
% 31.37/31.51 >> back demodulating 121 with 638.
% 31.37/31.51 >> back demodulating 120 with 638.
% 31.37/31.51 >> back demodulating 119 with 638.
% 31.37/31.51 >> back demodulating 118 with 638.
% 31.37/31.51 >>>> Starting back demodulation with 640.
% 31.37/31.51 >>>> Starting back demodulation with 644.
% 31.37/31.51 >>>> Starting back demodulation with 646.
% 31.37/31.51 >>>> Starting back demodulation with 650.
% 31.37/31.51 >> back demodulating 647 with 650.
% 31.37/31.51 >> back demodulating 618 with 650.
% 31.37/31.51 >> back demodulating 612 with 650.
% 31.37/31.51 >> back demodulating 585 with 650.
% 31.37/31.51 >> back demodulating 571 with 650.
% 31.37/31.51 >> back demodulating 550 with 650.
% 31.37/31.51 >> back demodulating 547 with 650.
% 31.37/31.51 >> back demodulating 401 with 650.
% 31.37/31.51 >> back demodulating 393 with 650.
% 31.37/31.51 >> back demodulating 375 with 650.
% 31.37/31.51 >> back demodulating 369 with 650.
% 31.37/31.51 >> back demodulating 233 with 650.
% 31.37/31.51 >> back demodulating 232 with 650.
% 31.37/31.51 >> back demodulating 231 with 650.
% 31.37/31.51 >> back demodulating 227 with 650.
% 31.37/31.51 >> back demodulating 226 with 650.
% 31.37/31.51 >> back demodulating 225 with 650.
% 31.37/31.51 >> back demodulating 224 with 650.
% 31.37/31.51 >> back demodulating 223 with 650.
% 31.37/31.51 >> back demodulating 203 with 650.
% 31.37/31.51 >> back demodulating 78 with 650.
% 31.37/31.51 >> back demodulating 77 with 650.
% 31.37/31.51 >> back demodulating 76 with 650.
% 31.37/31.51 >>>> Starting back demodulation with 652.
% 31.37/31.51 >>>> Starting back demodulation with 654.
% 31.37/31.51 >>>> Starting back demodulation with 657.
% 31.37/31.51 Following clause subsumed by 659 during input processing: 0 [copy,659,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 31.37/31.51 673 back subsumes 85.
% 31.37/31.51 675 back subsumes 86.
% 31.37/31.51 >>>> Starting back demodulation with 677.
% 31.37/31.51 >> back demodulating 488 with 677.
% 31.37/31.51 >> back demodulating 485 with 677.
% 31.37/31.51 >>>> Starting back demodulation with 702.
% 31.37/31.51 >>>> Starting back demodulation with 706.
% 31.37/31.51 >>>> Starting back demodulation with 709.
% 31.37/31.51
% 31.37/31.51 ======= end of input processing =======
% 31.37/31.51
% 31.37/31.51 =========== start of search ===========
% 31.37/31.51
% 31.37/31.51
% 31.37/31.51 Resetting weight limit to 2.
% 31.37/31.51
% 31.37/31.51
% 31.37/31.51 Resetting weight limit to 2.
% 31.37/31.51
% 31.37/31.51 sos_size=136
% 31.37/31.51
% 31.37/31.51 Search stopped because sos empty.
% 31.37/31.51
% 31.37/31.51
% 31.37/31.51 Search stopped because sos empty.
% 31.37/31.51
% 31.37/31.51 ============ end of search ============
% 31.37/31.51
% 31.37/31.51 -------------- statistics -------------
% 31.37/31.51 clauses given 147
% 31.37/31.51 clauses generated 1284933
% 31.37/31.51 clauses kept 681
% 31.37/31.51 clauses forward subsumed 270
% 31.37/31.51 clauses back subsumed 22
% 31.37/31.51 Kbytes malloced 8789
% 31.37/31.51
% 31.37/31.51 ----------- times (seconds) -----------
% 31.37/31.51 user CPU time 27.84 (0 hr, 0 min, 27 sec)
% 31.37/31.51 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 31.37/31.51 wall-clock time 31 (0 hr, 0 min, 31 sec)
% 31.37/31.51
% 31.37/31.51 Process 30171 finished Wed Jul 27 07:30:27 2022
% 31.37/31.51 Otter interrupted
% 31.37/31.51 PROOF NOT FOUND
%------------------------------------------------------------------------------