TSTP Solution File: SEU219+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU219+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:15:12 EDT 2022
% Result : Unknown 11.39s 11.56s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU219+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 07:43:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.17/3.37 ----- Otter 3.3f, August 2004 -----
% 3.17/3.37 The process was started by sandbox2 on n010.cluster.edu,
% 3.17/3.37 Wed Jul 27 07:43:25 2022
% 3.17/3.37 The command was "./otter". The process ID is 23022.
% 3.17/3.37
% 3.17/3.37 set(prolog_style_variables).
% 3.17/3.37 set(auto).
% 3.17/3.37 dependent: set(auto1).
% 3.17/3.37 dependent: set(process_input).
% 3.17/3.37 dependent: clear(print_kept).
% 3.17/3.37 dependent: clear(print_new_demod).
% 3.17/3.37 dependent: clear(print_back_demod).
% 3.17/3.37 dependent: clear(print_back_sub).
% 3.17/3.37 dependent: set(control_memory).
% 3.17/3.37 dependent: assign(max_mem, 12000).
% 3.17/3.37 dependent: assign(pick_given_ratio, 4).
% 3.17/3.37 dependent: assign(stats_level, 1).
% 3.17/3.37 dependent: assign(max_seconds, 10800).
% 3.17/3.37 clear(print_given).
% 3.17/3.37
% 3.17/3.37 formula_list(usable).
% 3.17/3.37 all A (A=A).
% 3.17/3.37 all A B (in(A,B)-> -in(B,A)).
% 3.17/3.37 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 3.17/3.37 all A (empty(A)->function(A)).
% 3.17/3.37 all A (empty(A)->relation(A)).
% 3.17/3.37 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 3.17/3.37 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 3.17/3.37 all A B (set_union2(A,B)=set_union2(B,A)).
% 3.17/3.37 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 3.17/3.37 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 3.17/3.37 all A B (A=B<->subset(A,B)&subset(B,A)).
% 3.17/3.37 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))))))).
% 3.17/3.37 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))))))).
% 3.17/3.37 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)))))))).
% 3.17/3.37 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)))))))).
% 3.17/3.37 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 3.17/3.37 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))).
% 3.17/3.37 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 3.17/3.37 all A (A=empty_set<-> (all B (-in(B,A)))).
% 3.17/3.37 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 3.17/3.37 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))))))).
% 3.17/3.37 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 3.17/3.37 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 3.17/3.37 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 3.17/3.37 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)))))).
% 3.17/3.37 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))))))).
% 3.17/3.37 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 3.17/3.37 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 3.17/3.37 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))))).
% 3.17/3.37 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 3.17/3.37 all A (cast_to_subset(A)=A).
% 3.17/3.37 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 3.17/3.37 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 3.17/3.37 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 3.17/3.37 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 3.17/3.37 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 3.17/3.37 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 3.17/3.37 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))))))).
% 3.17/3.37 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 3.17/3.37 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))))))))))).
% 3.17/3.37 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)))))))).
% 3.17/3.37 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 3.17/3.37 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 3.17/3.37 $T.
% 3.17/3.37 all A element(cast_to_subset(A),powerset(A)).
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 all A (relation(A)->relation(relation_inverse(A))).
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 3.17/3.37 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 3.17/3.37 all A relation(identity_relation(A)).
% 3.17/3.37 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 3.17/3.37 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 3.17/3.37 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 3.17/3.37 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 3.17/3.37 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 3.17/3.37 $T.
% 3.17/3.37 $T.
% 3.17/3.37 all A exists B element(B,A).
% 3.17/3.37 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 3.17/3.37 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 3.17/3.37 empty(empty_set).
% 3.17/3.37 relation(empty_set).
% 3.17/3.37 relation_empty_yielding(empty_set).
% 3.17/3.37 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 3.17/3.37 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 3.17/3.37 all A (-empty(powerset(A))).
% 3.17/3.37 empty(empty_set).
% 3.17/3.37 all A B (-empty(ordered_pair(A,B))).
% 3.17/3.37 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 3.17/3.37 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 3.17/3.37 all A (-empty(singleton(A))).
% 3.17/3.37 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 3.17/3.37 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 3.17/3.37 all A B (-empty(unordered_pair(A,B))).
% 3.17/3.37 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 3.17/3.37 empty(empty_set).
% 3.17/3.37 relation(empty_set).
% 3.17/3.37 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.17/3.37 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 3.17/3.37 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 3.17/3.37 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 3.17/3.37 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 3.17/3.37 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 3.17/3.37 all A B (set_union2(A,A)=A).
% 3.17/3.37 all A B (set_intersection2(A,A)=A).
% 3.17/3.37 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 3.17/3.37 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 3.17/3.37 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 3.17/3.37 all A B (-proper_subset(A,A)).
% 3.17/3.37 all A (singleton(A)!=empty_set).
% 3.17/3.37 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.17/3.37 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 3.17/3.37 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 3.17/3.37 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.17/3.37 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.17/3.37 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 3.17/3.37 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 3.17/3.37 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.17/3.37 all A B (in(A,B)->subset(A,union(B))).
% 3.17/3.37 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.17/3.37 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 3.17/3.37 exists A (relation(A)&function(A)).
% 3.17/3.37 exists A (empty(A)&relation(A)).
% 3.17/3.37 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.17/3.37 exists A empty(A).
% 3.17/3.37 exists A (relation(A)&empty(A)&function(A)).
% 3.17/3.37 exists A (-empty(A)&relation(A)).
% 3.17/3.37 all A exists B (element(B,powerset(A))&empty(B)).
% 3.17/3.37 exists A (-empty(A)).
% 3.17/3.37 exists A (relation(A)&function(A)&one_to_one(A)).
% 3.17/3.37 exists A (relation(A)&relation_empty_yielding(A)).
% 3.17/3.37 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 3.17/3.37 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 3.17/3.37 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 3.17/3.37 all A B subset(A,A).
% 3.17/3.37 all A B (disjoint(A,B)->disjoint(B,A)).
% 3.17/3.37 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.17/3.37 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 3.17/3.37 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 3.17/3.37 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 3.17/3.37 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 3.17/3.37 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 3.17/3.37 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))).
% 3.17/3.37 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 3.17/3.37 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 3.17/3.37 all A B (subset(A,B)->set_union2(A,B)=B).
% 3.17/3.37 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))))).
% 3.17/3.37 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 3.17/3.37 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))))).
% 3.17/3.37 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 3.17/3.37 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 3.17/3.37 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 3.17/3.37 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 3.17/3.37 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))))).
% 3.17/3.37 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 3.17/3.37 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 3.17/3.37 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 3.17/3.37 all A B subset(set_intersection2(A,B),A).
% 3.17/3.37 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 3.17/3.37 all A (set_union2(A,empty_set)=A).
% 3.17/3.37 all A B (in(A,B)->element(A,B)).
% 3.17/3.37 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 3.17/3.37 powerset(empty_set)=singleton(empty_set).
% 3.17/3.37 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 3.17/3.37 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)))))).
% 3.17/3.37 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 3.17/3.37 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)))))).
% 3.17/3.37 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)))))).
% 3.17/3.37 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)))))).
% 3.17/3.37 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 3.17/3.37 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 3.17/3.37 all A (set_intersection2(A,empty_set)=empty_set).
% 3.17/3.37 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.17/3.37 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.17/3.37 all A subset(empty_set,A).
% 3.17/3.37 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 3.17/3.37 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 3.17/3.37 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 3.17/3.37 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 3.17/3.37 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 3.17/3.37 all A B subset(set_difference(A,B),A).
% 3.17/3.37 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 3.17/3.37 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.17/3.37 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.17/3.37 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 3.17/3.37 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 3.17/3.37 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.17/3.37 all A (set_difference(A,empty_set)=A).
% 3.17/3.37 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.17/3.37 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))).
% 3.17/3.37 all A (subset(A,empty_set)->A=empty_set).
% 3.17/3.37 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 3.17/3.37 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 3.17/3.37 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 3.17/3.37 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 3.17/3.37 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 3.17/3.37 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 3.17/3.37 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 3.17/3.37 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.17/3.37 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 3.17/3.37 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)))).
% 3.17/3.37 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)))).
% 3.17/3.37 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 3.17/3.37 all A (set_difference(empty_set,A)=empty_set).
% 3.17/3.37 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.17/3.37 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))).
% 3.17/3.37 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)))))))).
% 3.17/3.37 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))))))))).
% 3.17/3.37 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 3.17/3.37 -(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))))).
% 3.17/3.37 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 3.17/3.37 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.17/3.37 relation_dom(empty_set)=empty_set.
% 3.17/3.37 relation_rng(empty_set)=empty_set.
% 3.17/3.37 all A B (-(subset(A,B)&proper_subset(B,A))).
% 3.17/3.37 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 3.17/3.37 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 3.17/3.37 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 3.17/3.37 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 3.17/3.37 all A (unordered_pair(A,A)=singleton(A)).
% 3.17/3.37 all A (empty(A)->A=empty_set).
% 3.17/3.37 all A B (subset(singleton(A),singleton(B))->A=B).
% 3.17/3.37 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 3.17/3.37 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))).
% 3.17/3.37 all A B (-(in(A,B)&empty(B))).
% 3.17/3.37 all A B subset(A,set_union2(A,B)).
% 3.17/3.37 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 3.17/3.37 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 3.17/3.37 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 3.17/3.37 all A B (-(empty(A)&A!=B&empty(B))).
% 3.17/3.37 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 3.17/3.37 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 3.17/3.37 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 3.17/3.37 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 3.17/3.37 all A B (in(A,B)->subset(A,union(B))).
% 3.17/3.37 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 3.17/3.37 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 3.17/3.37 all A (union(powerset(A))=A).
% 3.17/3.37 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))))).
% 3.17/3.37 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 3.17/3.37 end_of_list.
% 3.17/3.37
% 3.17/3.37 -------> usable clausifies to:
% 3.17/3.37
% 3.17/3.37 list(usable).
% 3.17/3.37 0 [] A=A.
% 3.17/3.37 0 [] -in(A,B)| -in(B,A).
% 3.17/3.37 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.17/3.37 0 [] -empty(A)|function(A).
% 3.17/3.37 0 [] -empty(A)|relation(A).
% 3.17/3.37 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.17/3.37 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.17/3.37 0 [] set_union2(A,B)=set_union2(B,A).
% 3.17/3.37 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.17/3.37 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 3.17/3.37 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 3.17/3.37 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 3.17/3.37 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 3.17/3.37 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 3.17/3.37 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)!=$f1(A,B).
% 3.17/3.37 0 [] A!=B|subset(A,B).
% 3.17/3.37 0 [] A!=B|subset(B,A).
% 3.17/3.37 0 [] A=B| -subset(A,B)| -subset(B,A).
% 3.17/3.37 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 3.17/3.37 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 3.17/3.37 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 3.17/3.37 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 3.17/3.37 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).
% 3.17/3.37 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),$f3(A,B,C)),A).
% 3.17/3.37 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 3.17/3.37 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 3.17/3.37 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 3.17/3.37 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f6(A,B,C),$f5(A,B,C)),C)|in($f5(A,B,C),A).
% 3.17/3.37 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f6(A,B,C),$f5(A,B,C)),C)|in(ordered_pair($f6(A,B,C),$f5(A,B,C)),B).
% 3.17/3.37 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)| -in(ordered_pair($f6(A,B,C),$f5(A,B,C)),C)| -in($f5(A,B,C),A)| -in(ordered_pair($f6(A,B,C),$f5(A,B,C)),B).
% 3.17/3.37 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f7(A,B,C,D),D),A).
% 3.17/3.37 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f7(A,B,C,D),B).
% 3.17/3.37 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 3.17/3.37 0 [] -relation(A)|C=relation_image(A,B)|in($f9(A,B,C),C)|in(ordered_pair($f8(A,B,C),$f9(A,B,C)),A).
% 3.17/3.37 0 [] -relation(A)|C=relation_image(A,B)|in($f9(A,B,C),C)|in($f8(A,B,C),B).
% 3.17/3.37 0 [] -relation(A)|C=relation_image(A,B)| -in($f9(A,B,C),C)| -in(ordered_pair(X1,$f9(A,B,C)),A)| -in(X1,B).
% 3.17/3.37 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f10(A,B,C,D)),A).
% 3.17/3.37 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f10(A,B,C,D),B).
% 3.17/3.37 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 3.17/3.37 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f12(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f11(A,B,C)),A).
% 3.17/3.37 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f12(A,B,C),C)|in($f11(A,B,C),B).
% 3.17/3.37 0 [] -relation(A)|C=relation_inverse_image(A,B)| -in($f12(A,B,C),C)| -in(ordered_pair($f12(A,B,C),X2),A)| -in(X2,B).
% 3.17/3.37 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f14(A,B),$f13(A,B)).
% 3.17/3.37 0 [] relation(A)|in($f15(A),A).
% 3.17/3.37 0 [] relation(A)|$f15(A)!=ordered_pair(C,D).
% 3.17/3.37 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.17/3.37 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f16(A,B,C),A).
% 3.17/3.37 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f16(A,B,C)).
% 3.17/3.37 0 [] A=empty_set|B=set_meet(A)|in($f18(A,B),B)| -in(X3,A)|in($f18(A,B),X3).
% 3.17/3.37 0 [] A=empty_set|B=set_meet(A)| -in($f18(A,B),B)|in($f17(A,B),A).
% 3.17/3.37 0 [] A=empty_set|B=set_meet(A)| -in($f18(A,B),B)| -in($f18(A,B),$f17(A,B)).
% 3.17/3.37 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.17/3.37 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.17/3.37 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 3.17/3.37 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 3.17/3.37 0 [] B=singleton(A)|in($f19(A,B),B)|$f19(A,B)=A.
% 3.17/3.37 0 [] B=singleton(A)| -in($f19(A,B),B)|$f19(A,B)!=A.
% 3.17/3.37 0 [] A!=empty_set| -in(B,A).
% 3.17/3.37 0 [] A=empty_set|in($f20(A),A).
% 3.17/3.37 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 3.17/3.37 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 3.17/3.37 0 [] B=powerset(A)|in($f21(A,B),B)|subset($f21(A,B),A).
% 3.17/3.37 0 [] B=powerset(A)| -in($f21(A,B),B)| -subset($f21(A,B),A).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f23(A,B),$f22(A,B)),A)|in(ordered_pair($f23(A,B),$f22(A,B)),B).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f23(A,B),$f22(A,B)),A)| -in(ordered_pair($f23(A,B),$f22(A,B)),B).
% 3.17/3.37 0 [] empty(A)| -element(B,A)|in(B,A).
% 3.17/3.37 0 [] empty(A)|element(B,A)| -in(B,A).
% 3.17/3.37 0 [] -empty(A)| -element(B,A)|empty(B).
% 3.17/3.37 0 [] -empty(A)|element(B,A)| -empty(B).
% 3.17/3.37 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 3.17/3.37 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 3.17/3.37 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 3.17/3.37 0 [] C=unordered_pair(A,B)|in($f24(A,B,C),C)|$f24(A,B,C)=A|$f24(A,B,C)=B.
% 3.17/3.37 0 [] C=unordered_pair(A,B)| -in($f24(A,B,C),C)|$f24(A,B,C)!=A.
% 3.17/3.37 0 [] C=unordered_pair(A,B)| -in($f24(A,B,C),C)|$f24(A,B,C)!=B.
% 3.17/3.37 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 3.17/3.37 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 3.17/3.37 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 3.17/3.37 0 [] C=set_union2(A,B)|in($f25(A,B,C),C)|in($f25(A,B,C),A)|in($f25(A,B,C),B).
% 3.17/3.37 0 [] C=set_union2(A,B)| -in($f25(A,B,C),C)| -in($f25(A,B,C),A).
% 3.17/3.37 0 [] C=set_union2(A,B)| -in($f25(A,B,C),C)| -in($f25(A,B,C),B).
% 3.17/3.37 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f27(A,B,C,D),A).
% 3.17/3.37 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f26(A,B,C,D),B).
% 3.17/3.37 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f27(A,B,C,D),$f26(A,B,C,D)).
% 3.17/3.37 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 3.17/3.37 0 [] C=cartesian_product2(A,B)|in($f30(A,B,C),C)|in($f29(A,B,C),A).
% 3.17/3.37 0 [] C=cartesian_product2(A,B)|in($f30(A,B,C),C)|in($f28(A,B,C),B).
% 3.17/3.37 0 [] C=cartesian_product2(A,B)|in($f30(A,B,C),C)|$f30(A,B,C)=ordered_pair($f29(A,B,C),$f28(A,B,C)).
% 3.17/3.37 0 [] C=cartesian_product2(A,B)| -in($f30(A,B,C),C)| -in(X4,A)| -in(X5,B)|$f30(A,B,C)!=ordered_pair(X4,X5).
% 3.17/3.37 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f32(A,B),$f31(A,B)),A).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f32(A,B),$f31(A,B)),B).
% 3.17/3.37 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.17/3.37 0 [] subset(A,B)|in($f33(A,B),A).
% 3.17/3.37 0 [] subset(A,B)| -in($f33(A,B),B).
% 3.17/3.37 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 3.17/3.37 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 3.17/3.37 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 3.17/3.37 0 [] C=set_intersection2(A,B)|in($f34(A,B,C),C)|in($f34(A,B,C),A).
% 3.17/3.37 0 [] C=set_intersection2(A,B)|in($f34(A,B,C),C)|in($f34(A,B,C),B).
% 3.17/3.37 0 [] C=set_intersection2(A,B)| -in($f34(A,B,C),C)| -in($f34(A,B,C),A)| -in($f34(A,B,C),B).
% 3.17/3.37 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.17/3.37 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.17/3.37 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.17/3.37 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.17/3.37 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f35(A,B,C)),A).
% 3.17/3.37 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.17/3.37 0 [] -relation(A)|B=relation_dom(A)|in($f37(A,B),B)|in(ordered_pair($f37(A,B),$f36(A,B)),A).
% 3.17/3.37 0 [] -relation(A)|B=relation_dom(A)| -in($f37(A,B),B)| -in(ordered_pair($f37(A,B),X6),A).
% 3.17/3.37 0 [] cast_to_subset(A)=A.
% 3.17/3.37 0 [] B!=union(A)| -in(C,B)|in(C,$f38(A,B,C)).
% 3.17/3.37 0 [] B!=union(A)| -in(C,B)|in($f38(A,B,C),A).
% 3.17/3.37 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 3.17/3.37 0 [] B=union(A)|in($f40(A,B),B)|in($f40(A,B),$f39(A,B)).
% 3.17/3.37 0 [] B=union(A)|in($f40(A,B),B)|in($f39(A,B),A).
% 3.17/3.37 0 [] B=union(A)| -in($f40(A,B),B)| -in($f40(A,B),X7)| -in(X7,A).
% 3.17/3.37 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 3.17/3.37 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 3.17/3.37 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 3.17/3.37 0 [] C=set_difference(A,B)|in($f41(A,B,C),C)|in($f41(A,B,C),A).
% 3.17/3.37 0 [] C=set_difference(A,B)|in($f41(A,B,C),C)| -in($f41(A,B,C),B).
% 3.17/3.37 0 [] C=set_difference(A,B)| -in($f41(A,B,C),C)| -in($f41(A,B,C),A)|in($f41(A,B,C),B).
% 3.17/3.37 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f42(A,B,C),C),A).
% 3.17/3.37 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.17/3.37 0 [] -relation(A)|B=relation_rng(A)|in($f44(A,B),B)|in(ordered_pair($f43(A,B),$f44(A,B)),A).
% 3.17/3.37 0 [] -relation(A)|B=relation_rng(A)| -in($f44(A,B),B)| -in(ordered_pair(X8,$f44(A,B)),A).
% 3.17/3.37 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 3.17/3.37 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 3.17/3.37 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f46(A,B),$f45(A,B)),B)|in(ordered_pair($f45(A,B),$f46(A,B)),A).
% 3.17/3.37 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f46(A,B),$f45(A,B)),B)| -in(ordered_pair($f45(A,B),$f46(A,B)),A).
% 3.17/3.37 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.17/3.37 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.17/3.37 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f47(A,B,C,D,E)),A).
% 3.17/3.37 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f47(A,B,C,D,E),E),B).
% 3.17/3.37 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).
% 3.17/3.37 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f50(A,B,C),$f49(A,B,C)),C)|in(ordered_pair($f50(A,B,C),$f48(A,B,C)),A).
% 3.17/3.37 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f50(A,B,C),$f49(A,B,C)),C)|in(ordered_pair($f48(A,B,C),$f49(A,B,C)),B).
% 3.17/3.37 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f50(A,B,C),$f49(A,B,C)),C)| -in(ordered_pair($f50(A,B,C),X9),A)| -in(ordered_pair(X9,$f49(A,B,C)),B).
% 3.17/3.37 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).
% 3.17/3.37 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).
% 3.17/3.37 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f51(A,B,C),powerset(A)).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f51(A,B,C),C)|in(subset_complement(A,$f51(A,B,C)),B).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f51(A,B,C),C)| -in(subset_complement(A,$f51(A,B,C)),B).
% 3.17/3.38 0 [] -proper_subset(A,B)|subset(A,B).
% 3.17/3.38 0 [] -proper_subset(A,B)|A!=B.
% 3.17/3.38 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.17/3.38 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] element(cast_to_subset(A),powerset(A)).
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] -relation(A)|relation(relation_inverse(A)).
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 3.17/3.38 0 [] relation(identity_relation(A)).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 3.17/3.38 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 3.17/3.38 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 3.17/3.38 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] $T.
% 3.17/3.38 0 [] element($f52(A),A).
% 3.17/3.38 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.17/3.38 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.17/3.38 0 [] -empty(A)|empty(relation_inverse(A)).
% 3.17/3.38 0 [] -empty(A)|relation(relation_inverse(A)).
% 3.17/3.38 0 [] empty(empty_set).
% 3.17/3.38 0 [] relation(empty_set).
% 3.17/3.38 0 [] relation_empty_yielding(empty_set).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.17/3.38 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.17/3.38 0 [] -empty(powerset(A)).
% 3.17/3.38 0 [] empty(empty_set).
% 3.17/3.38 0 [] -empty(ordered_pair(A,B)).
% 3.17/3.38 0 [] relation(identity_relation(A)).
% 3.17/3.38 0 [] function(identity_relation(A)).
% 3.17/3.38 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.17/3.38 0 [] -empty(singleton(A)).
% 3.17/3.38 0 [] empty(A)| -empty(set_union2(A,B)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.17/3.38 0 [] -empty(unordered_pair(A,B)).
% 3.17/3.38 0 [] empty(A)| -empty(set_union2(B,A)).
% 3.17/3.38 0 [] empty(empty_set).
% 3.17/3.38 0 [] relation(empty_set).
% 3.17/3.38 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.17/3.38 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.17/3.38 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.17/3.38 0 [] -empty(A)|empty(relation_dom(A)).
% 3.17/3.38 0 [] -empty(A)|relation(relation_dom(A)).
% 3.17/3.38 0 [] -empty(A)|empty(relation_rng(A)).
% 3.17/3.38 0 [] -empty(A)|relation(relation_rng(A)).
% 3.17/3.38 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.17/3.38 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.17/3.38 0 [] set_union2(A,A)=A.
% 3.17/3.38 0 [] set_intersection2(A,A)=A.
% 3.17/3.38 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 3.17/3.38 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 3.17/3.38 0 [] -proper_subset(A,A).
% 3.17/3.38 0 [] singleton(A)!=empty_set.
% 3.17/3.38 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.17/3.38 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.17/3.38 0 [] in(A,B)|disjoint(singleton(A),B).
% 3.17/3.38 0 [] -subset(singleton(A),B)|in(A,B).
% 3.17/3.38 0 [] subset(singleton(A),B)| -in(A,B).
% 3.17/3.38 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.17/3.38 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.17/3.38 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 3.17/3.38 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.17/3.38 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.17/3.38 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.17/3.38 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.17/3.38 0 [] -in(A,B)|subset(A,union(B)).
% 3.17/3.38 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.17/3.38 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.17/3.38 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.17/3.38 0 [] in($f53(A,B),A)|element(A,powerset(B)).
% 3.17/3.38 0 [] -in($f53(A,B),B)|element(A,powerset(B)).
% 3.17/3.38 0 [] relation($c1).
% 3.17/3.38 0 [] function($c1).
% 3.17/3.38 0 [] empty($c2).
% 3.17/3.38 0 [] relation($c2).
% 3.17/3.38 0 [] empty(A)|element($f54(A),powerset(A)).
% 3.17/3.38 0 [] empty(A)| -empty($f54(A)).
% 3.17/3.38 0 [] empty($c3).
% 3.17/3.38 0 [] relation($c4).
% 3.17/3.38 0 [] empty($c4).
% 3.17/3.38 0 [] function($c4).
% 3.17/3.38 0 [] -empty($c5).
% 3.17/3.38 0 [] relation($c5).
% 3.17/3.38 0 [] element($f55(A),powerset(A)).
% 3.17/3.38 0 [] empty($f55(A)).
% 3.17/3.38 0 [] -empty($c6).
% 3.17/3.38 0 [] relation($c7).
% 3.17/3.38 0 [] function($c7).
% 3.17/3.38 0 [] one_to_one($c7).
% 3.17/3.38 0 [] relation($c8).
% 3.17/3.38 0 [] relation_empty_yielding($c8).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 3.17/3.38 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 3.17/3.38 0 [] subset(A,A).
% 3.17/3.38 0 [] -disjoint(A,B)|disjoint(B,A).
% 3.17/3.38 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.17/3.38 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.17/3.38 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.17/3.38 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 3.17/3.38 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 3.17/3.38 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 3.17/3.38 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 3.17/3.38 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 3.17/3.38 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.17/3.38 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.17/3.38 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 3.17/3.38 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.17/3.38 0 [] -subset(A,B)|set_union2(A,B)=B.
% 3.17/3.38 0 [] in(A,$f56(A)).
% 3.17/3.38 0 [] -in(C,$f56(A))| -subset(D,C)|in(D,$f56(A)).
% 3.17/3.38 0 [] -in(X10,$f56(A))|in(powerset(X10),$f56(A)).
% 3.17/3.38 0 [] -subset(X11,$f56(A))|are_e_quipotent(X11,$f56(A))|in(X11,$f56(A)).
% 3.17/3.38 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f57(A,B,C),relation_dom(C)).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f57(A,B,C),A),C).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f57(A,B,C),B).
% 3.17/3.38 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 3.17/3.38 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 3.17/3.38 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 3.17/3.38 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 3.17/3.38 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f58(A,B,C),relation_rng(C)).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f58(A,B,C)),C).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f58(A,B,C),B).
% 3.17/3.38 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 3.17/3.38 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 3.17/3.38 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 3.17/3.38 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 3.17/3.38 0 [] subset(set_intersection2(A,B),A).
% 3.17/3.38 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.17/3.38 0 [] set_union2(A,empty_set)=A.
% 3.17/3.38 0 [] -in(A,B)|element(A,B).
% 3.17/3.38 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.17/3.38 0 [] powerset(empty_set)=singleton(empty_set).
% 3.17/3.38 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.17/3.38 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 3.17/3.38 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 3.17/3.38 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 3.17/3.38 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)).
% 3.17/3.38 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.17/3.38 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)).
% 3.17/3.38 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)).
% 3.17/3.38 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.17/3.38 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.17/3.38 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.17/3.38 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.17/3.38 0 [] set_intersection2(A,empty_set)=empty_set.
% 3.17/3.38 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.17/3.38 0 [] in($f59(A,B),A)|in($f59(A,B),B)|A=B.
% 3.17/3.38 0 [] -in($f59(A,B),A)| -in($f59(A,B),B)|A=B.
% 3.17/3.38 0 [] subset(empty_set,A).
% 3.17/3.38 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 3.17/3.38 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 3.17/3.38 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.17/3.38 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.17/3.38 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.17/3.38 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 3.17/3.38 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 3.17/3.38 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f60(A,B),A).
% 3.17/3.38 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f60(A,B))!=$f60(A,B).
% 3.17/3.38 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 3.17/3.38 0 [] subset(set_difference(A,B),A).
% 3.17/3.38 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.17/3.38 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 3.17/3.38 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.17/3.38 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.17/3.38 0 [] -subset(singleton(A),B)|in(A,B).
% 3.17/3.38 0 [] subset(singleton(A),B)| -in(A,B).
% 3.17/3.38 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.17/3.38 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.17/3.38 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.17/3.38 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.17/3.38 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.17/3.38 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.17/3.38 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.17/3.38 0 [] set_difference(A,empty_set)=A.
% 3.17/3.38 0 [] -element(A,powerset(B))|subset(A,B).
% 3.17/3.38 0 [] element(A,powerset(B))| -subset(A,B).
% 3.17/3.38 0 [] disjoint(A,B)|in($f61(A,B),A).
% 3.17/3.38 0 [] disjoint(A,B)|in($f61(A,B),B).
% 3.17/3.38 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 3.17/3.38 0 [] -subset(A,empty_set)|A=empty_set.
% 3.17/3.38 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.17/3.38 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 3.17/3.38 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 3.17/3.38 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.17/3.38 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.17/3.38 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 3.17/3.38 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 3.17/3.38 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.17/3.38 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 3.17/3.38 0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 3.17/3.38 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 3.17/3.38 0 [] set_difference(empty_set,A)=empty_set.
% 3.17/3.38 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.17/3.38 0 [] disjoint(A,B)|in($f62(A,B),set_intersection2(A,B)).
% 3.17/3.38 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 3.17/3.38 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.17/3.38 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)).
% 3.17/3.38 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).
% 3.17/3.38 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)).
% 3.17/3.38 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).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f64(A,B),relation_rng(A))|in($f63(A,B),relation_dom(A)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f64(A,B),relation_rng(A))|$f64(A,B)=apply(A,$f63(A,B)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f63(A,B)=apply(B,$f64(A,B))|in($f63(A,B),relation_dom(A)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f63(A,B)=apply(B,$f64(A,B))|$f64(A,B)=apply(A,$f63(A,B)).
% 3.17/3.38 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f63(A,B),relation_dom(A))|$f64(A,B)!=apply(A,$f63(A,B))| -in($f64(A,B),relation_rng(A))|$f63(A,B)!=apply(B,$f64(A,B)).
% 3.17/3.38 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 3.17/3.38 0 [] relation($c9).
% 3.17/3.38 0 [] function($c9).
% 3.17/3.38 0 [] one_to_one($c9).
% 3.17/3.38 0 [] relation_rng($c9)!=relation_dom(function_inverse($c9))|relation_dom($c9)!=relation_rng(function_inverse($c9)).
% 3.17/3.38 0 [] -relation(A)|in(ordered_pair($f66(A),$f65(A)),A)|A=empty_set.
% 3.17/3.38 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.17/3.38 0 [] relation_dom(empty_set)=empty_set.
% 3.17/3.38 0 [] relation_rng(empty_set)=empty_set.
% 3.17/3.38 0 [] -subset(A,B)| -proper_subset(B,A).
% 3.17/3.38 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.17/3.38 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.17/3.38 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.17/3.38 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.17/3.38 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.17/3.38 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.17/3.38 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.17/3.38 0 [] unordered_pair(A,A)=singleton(A).
% 3.17/3.38 0 [] -empty(A)|A=empty_set.
% 3.17/3.38 0 [] -subset(singleton(A),singleton(B))|A=B.
% 3.17/3.38 0 [] relation_dom(identity_relation(A))=A.
% 3.17/3.38 0 [] relation_rng(identity_relation(A))=A.
% 3.17/3.38 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 3.17/3.38 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 3.17/3.38 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 3.17/3.38 0 [] -in(A,B)| -empty(B).
% 3.17/3.38 0 [] subset(A,set_union2(A,B)).
% 3.17/3.38 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.17/3.38 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 3.17/3.38 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 3.17/3.38 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 3.17/3.38 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 3.17/3.38 0 [] -empty(A)|A=B| -empty(B).
% 3.17/3.38 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.17/3.38 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 3.17/3.38 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 3.17/3.38 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.17/3.38 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.17/3.38 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 3.17/3.38 0 [] -in(A,B)|subset(A,union(B)).
% 3.17/3.38 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 3.17/3.38 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 3.17/3.38 0 [] union(powerset(A))=A.
% 3.17/3.38 0 [] in(A,$f68(A)).
% 3.17/3.38 0 [] -in(C,$f68(A))| -subset(D,C)|in(D,$f68(A)).
% 3.17/3.38 0 [] -in(X12,$f68(A))|in($f67(A,X12),$f68(A)).
% 3.17/3.38 0 [] -in(X12,$f68(A))| -subset(E,X12)|in(E,$f67(A,X12)).
% 3.17/3.38 0 [] -subset(X13,$f68(A))|are_e_quipotent(X13,$f68(A))|in(X13,$f68(A)).
% 3.17/3.38 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.17/3.38 end_of_list.
% 3.17/3.38
% 3.17/3.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 3.17/3.38
% 3.17/3.38 This ia a non-Horn set with equality. The strategy will be
% 3.17/3.38 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.17/3.38 deletion, with positive clauses in sos and nonpositive
% 3.17/3.38 clauses in usable.
% 3.17/3.38
% 3.17/3.38 dependent: set(knuth_bendix).
% 3.17/3.38 dependent: set(anl_eq).
% 3.17/3.38 dependent: set(para_from).
% 3.17/3.38 dependent: set(para_into).
% 3.17/3.38 dependent: clear(para_from_right).
% 3.17/3.38 dependent: clear(para_into_right).
% 3.17/3.38 dependent: set(para_from_vars).
% 3.17/3.38 dependent: set(eq_units_both_ways).
% 3.17/3.38 dependent: set(dynamic_demod_all).
% 3.17/3.38 dependent: set(dynamic_demod).
% 3.17/3.38 dependent: set(order_eq).
% 3.17/3.38 dependent: set(back_demod).
% 3.17/3.38 dependent: set(lrpo).
% 3.17/3.38 dependent: set(hyper_res).
% 3.17/3.38 dependent: set(unit_deletion).
% 3.17/3.38 dependent: set(factor).
% 3.17/3.38
% 3.17/3.38 ------------> process usable:
% 3.17/3.38 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 3.17/3.38 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.17/3.38 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 3.17/3.38 ** KEPT (pick-wt=4): 4 [] -empty(A)|relation(A).
% 3.17/3.38 ** KEPT (pick-wt=8): 5 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.17/3.38 ** KEPT (pick-wt=14): 6 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 3.17/3.38 ** KEPT (pick-wt=14): 7 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 3.17/3.38 ** KEPT (pick-wt=17): 8 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 3.17/3.38 ** KEPT (pick-wt=20): 9 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 3.17/3.38 ** KEPT (pick-wt=22): 10 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 3.17/3.38 ** KEPT (pick-wt=27): 11 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 3.17/3.38 ** KEPT (pick-wt=6): 12 [] A!=B|subset(A,B).
% 3.17/3.38 ** KEPT (pick-wt=6): 13 [] A!=B|subset(B,A).
% 3.17/3.38 ** KEPT (pick-wt=9): 14 [] A=B| -subset(A,B)| -subset(B,A).
% 3.17/3.38 ** KEPT (pick-wt=17): 15 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 3.17/3.38 ** KEPT (pick-wt=19): 16 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.17/3.38 ** KEPT (pick-wt=22): 17 [] -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).
% 3.17/3.38 ** KEPT (pick-wt=26): 18 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in($f4(A,C,B),C).
% 3.17/3.38 ** KEPT (pick-wt=31): 19 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 3.17/3.38 ** KEPT (pick-wt=37): 20 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($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).
% 3.17/3.38 ** KEPT (pick-wt=17): 21 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 3.17/3.38 ** KEPT (pick-wt=19): 22 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.17/3.38 ** KEPT (pick-wt=22): 23 [] -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).
% 3.17/3.38 ** KEPT (pick-wt=26): 24 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f6(C,A,B),$f5(C,A,B)),B)|in($f5(C,A,B),C).
% 3.17/3.38 ** KEPT (pick-wt=31): 25 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f6(C,A,B),$f5(C,A,B)),B)|in(ordered_pair($f6(C,A,B),$f5(C,A,B)),A).
% 3.17/3.38 ** KEPT (pick-wt=37): 26 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($f6(C,A,B),$f5(C,A,B)),B)| -in($f5(C,A,B),C)| -in(ordered_pair($f6(C,A,B),$f5(C,A,B)),A).
% 3.17/3.38 ** KEPT (pick-wt=19): 27 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f7(A,C,B,D),D),A).
% 3.17/3.38 ** KEPT (pick-wt=17): 28 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f7(A,C,B,D),C).
% 3.17/3.38 ** KEPT (pick-wt=18): 29 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 3.17/3.38 ** KEPT (pick-wt=24): 30 [] -relation(A)|B=relation_image(A,C)|in($f9(A,C,B),B)|in(ordered_pair($f8(A,C,B),$f9(A,C,B)),A).
% 3.17/3.38 ** KEPT (pick-wt=19): 31 [] -relation(A)|B=relation_image(A,C)|in($f9(A,C,B),B)|in($f8(A,C,B),C).
% 3.17/3.38 ** KEPT (pick-wt=24): 32 [] -relation(A)|B=relation_image(A,C)| -in($f9(A,C,B),B)| -in(ordered_pair(D,$f9(A,C,B)),A)| -in(D,C).
% 3.17/3.38 ** KEPT (pick-wt=19): 33 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f10(A,C,B,D)),A).
% 3.17/3.38 ** KEPT (pick-wt=17): 34 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f10(A,C,B,D),C).
% 3.17/3.38 ** KEPT (pick-wt=18): 35 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 3.17/3.38 ** KEPT (pick-wt=24): 36 [] -relation(A)|B=relation_inverse_image(A,C)|in($f12(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f11(A,C,B)),A).
% 3.17/3.38 ** KEPT (pick-wt=19): 37 [] -relation(A)|B=relation_inverse_image(A,C)|in($f12(A,C,B),B)|in($f11(A,C,B),C).
% 3.17/3.38 ** KEPT (pick-wt=24): 38 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f12(A,C,B),B)| -in(ordered_pair($f12(A,C,B),D),A)| -in(D,C).
% 3.17/3.38 ** KEPT (pick-wt=14): 40 [copy,39,flip.3] -relation(A)| -in(B,A)|ordered_pair($f14(A,B),$f13(A,B))=B.
% 3.17/3.38 ** KEPT (pick-wt=8): 41 [] relation(A)|$f15(A)!=ordered_pair(B,C).
% 3.17/3.38 ** KEPT (pick-wt=16): 42 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.17/3.38 ** KEPT (pick-wt=16): 43 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f16(A,B,C),A).
% 3.17/3.38 ** KEPT (pick-wt=16): 44 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f16(A,B,C)).
% 3.17/3.38 ** KEPT (pick-wt=20): 45 [] A=empty_set|B=set_meet(A)|in($f18(A,B),B)| -in(C,A)|in($f18(A,B),C).
% 3.17/3.38 ** KEPT (pick-wt=17): 46 [] A=empty_set|B=set_meet(A)| -in($f18(A,B),B)|in($f17(A,B),A).
% 3.17/3.38 ** KEPT (pick-wt=19): 47 [] A=empty_set|B=set_meet(A)| -in($f18(A,B),B)| -in($f18(A,B),$f17(A,B)).
% 3.17/3.38 ** KEPT (pick-wt=10): 48 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.17/3.38 ** KEPT (pick-wt=10): 49 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.17/3.38 ** KEPT (pick-wt=10): 50 [] A!=singleton(B)| -in(C,A)|C=B.
% 3.17/3.38 ** KEPT (pick-wt=10): 51 [] A!=singleton(B)|in(C,A)|C!=B.
% 3.17/3.38 ** KEPT (pick-wt=14): 52 [] A=singleton(B)| -in($f19(B,A),A)|$f19(B,A)!=B.
% 3.17/3.38 ** KEPT (pick-wt=6): 53 [] A!=empty_set| -in(B,A).
% 3.17/3.38 ** KEPT (pick-wt=10): 54 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 3.17/3.38 ** KEPT (pick-wt=10): 55 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 3.17/3.38 ** KEPT (pick-wt=14): 56 [] A=powerset(B)| -in($f21(B,A),A)| -subset($f21(B,A),B).
% 3.17/3.38 ** KEPT (pick-wt=17): 57 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.17/3.38 ** KEPT (pick-wt=17): 58 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.17/3.38 ** KEPT (pick-wt=25): 59 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f23(A,B),$f22(A,B)),A)|in(ordered_pair($f23(A,B),$f22(A,B)),B).
% 3.17/3.38 ** KEPT (pick-wt=25): 60 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f23(A,B),$f22(A,B)),A)| -in(ordered_pair($f23(A,B),$f22(A,B)),B).
% 3.17/3.38 ** KEPT (pick-wt=8): 61 [] empty(A)| -element(B,A)|in(B,A).
% 3.17/3.39 ** KEPT (pick-wt=8): 62 [] empty(A)|element(B,A)| -in(B,A).
% 3.17/3.39 ** KEPT (pick-wt=7): 63 [] -empty(A)| -element(B,A)|empty(B).
% 3.17/3.39 ** KEPT (pick-wt=7): 64 [] -empty(A)|element(B,A)| -empty(B).
% 3.17/3.39 ** KEPT (pick-wt=14): 65 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 3.17/3.39 ** KEPT (pick-wt=11): 66 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 3.17/3.39 ** KEPT (pick-wt=11): 67 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 3.17/3.39 ** KEPT (pick-wt=17): 68 [] A=unordered_pair(B,C)| -in($f24(B,C,A),A)|$f24(B,C,A)!=B.
% 3.17/3.39 ** KEPT (pick-wt=17): 69 [] A=unordered_pair(B,C)| -in($f24(B,C,A),A)|$f24(B,C,A)!=C.
% 3.17/3.39 ** KEPT (pick-wt=14): 70 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 3.17/3.39 ** KEPT (pick-wt=11): 71 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 3.17/3.39 ** KEPT (pick-wt=11): 72 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 3.17/3.39 ** KEPT (pick-wt=17): 73 [] A=set_union2(B,C)| -in($f25(B,C,A),A)| -in($f25(B,C,A),B).
% 3.17/3.39 ** KEPT (pick-wt=17): 74 [] A=set_union2(B,C)| -in($f25(B,C,A),A)| -in($f25(B,C,A),C).
% 3.17/3.39 ** KEPT (pick-wt=15): 75 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f27(B,C,A,D),B).
% 3.17/3.39 ** KEPT (pick-wt=15): 76 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f26(B,C,A,D),C).
% 3.17/3.39 ** KEPT (pick-wt=21): 78 [copy,77,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f27(B,C,A,D),$f26(B,C,A,D))=D.
% 3.17/3.39 ** KEPT (pick-wt=19): 79 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 3.17/3.39 ** KEPT (pick-wt=25): 80 [] A=cartesian_product2(B,C)| -in($f30(B,C,A),A)| -in(D,B)| -in(E,C)|$f30(B,C,A)!=ordered_pair(D,E).
% 3.17/3.39 ** KEPT (pick-wt=17): 81 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.17/3.39 ** KEPT (pick-wt=16): 82 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f32(A,B),$f31(A,B)),A).
% 3.17/3.39 ** KEPT (pick-wt=16): 83 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f32(A,B),$f31(A,B)),B).
% 3.17/3.39 ** KEPT (pick-wt=9): 84 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.17/3.39 ** KEPT (pick-wt=8): 85 [] subset(A,B)| -in($f33(A,B),B).
% 3.17/3.39 ** KEPT (pick-wt=11): 86 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 3.17/3.39 ** KEPT (pick-wt=11): 87 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 3.17/3.39 ** KEPT (pick-wt=14): 88 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 3.17/3.39 ** KEPT (pick-wt=23): 89 [] A=set_intersection2(B,C)| -in($f34(B,C,A),A)| -in($f34(B,C,A),B)| -in($f34(B,C,A),C).
% 3.17/3.39 ** KEPT (pick-wt=18): 90 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.17/3.39 ** KEPT (pick-wt=18): 91 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.17/3.39 ** KEPT (pick-wt=16): 92 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.17/3.39 ** KEPT (pick-wt=16): 93 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.17/3.39 ** KEPT (pick-wt=17): 94 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f35(A,B,C)),A).
% 3.17/3.39 ** KEPT (pick-wt=14): 95 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.17/3.39 ** KEPT (pick-wt=20): 96 [] -relation(A)|B=relation_dom(A)|in($f37(A,B),B)|in(ordered_pair($f37(A,B),$f36(A,B)),A).
% 3.17/3.39 ** KEPT (pick-wt=18): 97 [] -relation(A)|B=relation_dom(A)| -in($f37(A,B),B)| -in(ordered_pair($f37(A,B),C),A).
% 3.17/3.39 ** KEPT (pick-wt=13): 98 [] A!=union(B)| -in(C,A)|in(C,$f38(B,A,C)).
% 3.17/3.39 ** KEPT (pick-wt=13): 99 [] A!=union(B)| -in(C,A)|in($f38(B,A,C),B).
% 3.17/3.39 ** KEPT (pick-wt=13): 100 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 3.17/3.39 ** KEPT (pick-wt=17): 101 [] A=union(B)| -in($f40(B,A),A)| -in($f40(B,A),C)| -in(C,B).
% 3.17/3.39 ** KEPT (pick-wt=11): 102 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 3.17/3.39 ** KEPT (pick-wt=11): 103 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 3.17/3.39 ** KEPT (pick-wt=14): 104 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 3.17/3.39 ** KEPT (pick-wt=17): 105 [] A=set_difference(B,C)|in($f41(B,C,A),A)| -in($f41(B,C,A),C).
% 3.17/3.39 ** KEPT (pick-wt=23): 106 [] A=set_difference(B,C)| -in($f41(B,C,A),A)| -in($f41(B,C,A),B)|in($f41(B,C,A),C).
% 3.17/3.39 ** KEPT (pick-wt=17): 107 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f42(A,B,C),C),A).
% 3.17/3.39 ** KEPT (pick-wt=14): 108 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.17/3.39 ** KEPT (pick-wt=20): 109 [] -relation(A)|B=relation_rng(A)|in($f44(A,B),B)|in(ordered_pair($f43(A,B),$f44(A,B)),A).
% 3.17/3.39 ** KEPT (pick-wt=18): 110 [] -relation(A)|B=relation_rng(A)| -in($f44(A,B),B)| -in(ordered_pair(C,$f44(A,B)),A).
% 3.17/3.39 ** KEPT (pick-wt=11): 111 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 3.17/3.39 ** KEPT (pick-wt=10): 113 [copy,112,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 3.17/3.39 ** KEPT (pick-wt=18): 114 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.17/3.39 ** KEPT (pick-wt=18): 115 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.17/3.39 ** KEPT (pick-wt=26): 116 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f46(A,B),$f45(A,B)),B)|in(ordered_pair($f45(A,B),$f46(A,B)),A).
% 3.17/3.39 ** KEPT (pick-wt=26): 117 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f46(A,B),$f45(A,B)),B)| -in(ordered_pair($f45(A,B),$f46(A,B)),A).
% 3.17/3.39 ** KEPT (pick-wt=8): 118 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.17/3.39 ** KEPT (pick-wt=8): 119 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.17/3.39 ** KEPT (pick-wt=26): 120 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f47(A,B,C,D,E)),A).
% 3.17/3.39 ** KEPT (pick-wt=26): 121 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f47(A,B,C,D,E),E),B).
% 3.17/3.39 ** KEPT (pick-wt=26): 122 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.17/3.39 ** KEPT (pick-wt=33): 123 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f50(A,B,C),$f49(A,B,C)),C)|in(ordered_pair($f50(A,B,C),$f48(A,B,C)),A).
% 3.17/3.39 ** KEPT (pick-wt=33): 124 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f50(A,B,C),$f49(A,B,C)),C)|in(ordered_pair($f48(A,B,C),$f49(A,B,C)),B).
% 3.17/3.39 ** KEPT (pick-wt=38): 125 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f50(A,B,C),$f49(A,B,C)),C)| -in(ordered_pair($f50(A,B,C),D),A)| -in(ordered_pair(D,$f49(A,B,C)),B).
% 3.17/3.39 ** KEPT (pick-wt=27): 126 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))| -in(D,C)|in(subset_complement(B,D),A).
% 3.17/3.39 ** KEPT (pick-wt=27): 127 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))|in(D,C)| -in(subset_complement(B,D),A).
% 3.17/3.39 ** KEPT (pick-wt=22): 128 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f51(B,A,C),powerset(B)).
% 3.17/3.39 ** KEPT (pick-wt=29): 129 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f51(B,A,C),C)|in(subset_complement(B,$f51(B,A,C)),A).
% 3.17/3.39 ** KEPT (pick-wt=29): 130 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f51(B,A,C),C)| -in(subset_complement(B,$f51(B,A,C)),A).
% 3.17/3.39 ** KEPT (pick-wt=6): 131 [] -proper_subset(A,B)|subset(A,B).
% 3.17/3.39 ** KEPT (pick-wt=6): 132 [] -proper_subset(A,B)|A!=B.
% 3.17/3.39 ** KEPT (pick-wt=9): 133 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.17/3.39 ** KEPT (pick-wt=11): 135 [copy,134,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 3.17/3.39 ** KEPT (pick-wt=7): 136 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.17/3.39 ** KEPT (pick-wt=7): 137 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.17/3.39 ** KEPT (pick-wt=10): 138 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 3.17/3.39 ** KEPT (pick-wt=5): 139 [] -relation(A)|relation(relation_inverse(A)).
% 3.17/3.39 ** KEPT (pick-wt=8): 140 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=11): 141 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 3.17/3.39 ** KEPT (pick-wt=11): 142 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 3.17/3.39 ** KEPT (pick-wt=15): 143 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 3.17/3.39 ** KEPT (pick-wt=6): 144 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=12): 145 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 3.17/3.39 ** KEPT (pick-wt=6): 146 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 3.17/3.39 ** KEPT (pick-wt=8): 147 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.17/3.39 ** KEPT (pick-wt=8): 148 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.17/3.39 ** KEPT (pick-wt=5): 149 [] -empty(A)|empty(relation_inverse(A)).
% 3.17/3.39 ** KEPT (pick-wt=5): 150 [] -empty(A)|relation(relation_inverse(A)).
% 3.17/3.39 Following clause subsumed by 140 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=12): 151 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=8): 152 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=3): 153 [] -empty(powerset(A)).
% 3.17/3.39 ** KEPT (pick-wt=4): 154 [] -empty(ordered_pair(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=8): 155 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=3): 156 [] -empty(singleton(A)).
% 3.17/3.39 ** KEPT (pick-wt=6): 157 [] empty(A)| -empty(set_union2(A,B)).
% 3.17/3.39 Following clause subsumed by 139 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.17/3.39 ** KEPT (pick-wt=9): 158 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.17/3.39 ** KEPT (pick-wt=4): 159 [] -empty(unordered_pair(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=6): 160 [] empty(A)| -empty(set_union2(B,A)).
% 3.17/3.39 ** KEPT (pick-wt=8): 161 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=7): 162 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.17/3.39 ** KEPT (pick-wt=7): 163 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.17/3.39 ** KEPT (pick-wt=5): 164 [] -empty(A)|empty(relation_dom(A)).
% 3.17/3.39 ** KEPT (pick-wt=5): 165 [] -empty(A)|relation(relation_dom(A)).
% 3.17/3.39 ** KEPT (pick-wt=5): 166 [] -empty(A)|empty(relation_rng(A)).
% 3.17/3.39 ** KEPT (pick-wt=5): 167 [] -empty(A)|relation(relation_rng(A)).
% 3.17/3.39 ** KEPT (pick-wt=8): 168 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=8): 169 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.17/3.39 ** KEPT (pick-wt=11): 170 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 3.17/3.39 ** KEPT (pick-wt=7): 171 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.17/3.39 ** KEPT (pick-wt=12): 172 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 3.17/3.39 ** KEPT (pick-wt=3): 173 [] -proper_subset(A,A).
% 3.17/3.39 ** KEPT (pick-wt=4): 174 [] singleton(A)!=empty_set.
% 3.17/3.39 ** KEPT (pick-wt=9): 175 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.17/3.39 ** KEPT (pick-wt=7): 176 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.17/3.39 ** KEPT (pick-wt=7): 177 [] -subset(singleton(A),B)|in(A,B).
% 3.17/3.39 ** KEPT (pick-wt=7): 178 [] subset(singleton(A),B)| -in(A,B).
% 3.17/3.39 ** KEPT (pick-wt=8): 179 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.17/3.39 ** KEPT (pick-wt=8): 180 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.17/3.39 ** KEPT (pick-wt=10): 181 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 3.17/3.39 ** KEPT (pick-wt=12): 182 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.17/3.39 ** KEPT (pick-wt=11): 183 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.17/3.39 ** KEPT (pick-wt=7): 184 [] subset(A,singleton(B))|A!=empty_set.
% 3.17/3.39 Following clause subsumed by 12 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.17/3.39 ** KEPT (pick-wt=7): 185 [] -in(A,B)|subset(A,union(B)).
% 3.17/3.39 ** KEPT (pick-wt=10): 186 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.17/3.39 ** KEPT (pick-wt=10): 187 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.17/3.39 ** KEPT (pick-wt=13): 188 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.17/3.39 ** KEPT (pick-wt=9): 189 [] -in($f53(A,B),B)|element(A,powerset(B)).
% 3.17/3.40 ** KEPT (pick-wt=5): 190 [] empty(A)| -empty($f54(A)).
% 3.17/3.40 ** KEPT (pick-wt=2): 191 [] -empty($c5).
% 3.17/3.40 ** KEPT (pick-wt=2): 192 [] -empty($c6).
% 3.17/3.40 ** KEPT (pick-wt=11): 193 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 3.17/3.40 ** KEPT (pick-wt=11): 194 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 3.17/3.40 ** KEPT (pick-wt=16): 195 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 3.17/3.40 ** KEPT (pick-wt=6): 196 [] -disjoint(A,B)|disjoint(B,A).
% 3.17/3.40 Following clause subsumed by 186 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.17/3.40 Following clause subsumed by 187 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.17/3.40 Following clause subsumed by 188 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.17/3.40 ** KEPT (pick-wt=13): 197 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.17/3.40 ** KEPT (pick-wt=11): 198 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 3.17/3.40 ** KEPT (pick-wt=12): 199 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 3.17/3.40 ** KEPT (pick-wt=15): 200 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 3.17/3.40 ** KEPT (pick-wt=8): 201 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 3.17/3.40 ** KEPT (pick-wt=7): 202 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 3.17/3.40 ** KEPT (pick-wt=9): 203 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 3.17/3.40 ** KEPT (pick-wt=10): 204 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.17/3.40 ** KEPT (pick-wt=10): 205 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.17/3.40 ** KEPT (pick-wt=11): 206 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 3.17/3.40 ** KEPT (pick-wt=13): 207 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.17/3.40 ** KEPT (pick-wt=8): 208 [] -subset(A,B)|set_union2(A,B)=B.
% 3.17/3.40 ** KEPT (pick-wt=11): 209 [] -in(A,$f56(B))| -subset(C,A)|in(C,$f56(B)).
% 3.17/3.40 ** KEPT (pick-wt=9): 210 [] -in(A,$f56(B))|in(powerset(A),$f56(B)).
% 3.17/3.40 ** KEPT (pick-wt=12): 211 [] -subset(A,$f56(B))|are_e_quipotent(A,$f56(B))|in(A,$f56(B)).
% 3.17/3.40 ** KEPT (pick-wt=13): 213 [copy,212,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 3.17/3.40 ** KEPT (pick-wt=14): 214 [] -relation(A)| -in(B,relation_image(A,C))|in($f57(B,C,A),relation_dom(A)).
% 3.17/3.40 ** KEPT (pick-wt=15): 215 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f57(B,C,A),B),A).
% 3.17/3.40 ** KEPT (pick-wt=13): 216 [] -relation(A)| -in(B,relation_image(A,C))|in($f57(B,C,A),C).
% 3.17/3.40 ** KEPT (pick-wt=19): 217 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 3.17/3.40 ** KEPT (pick-wt=8): 218 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 3.17/3.40 ** KEPT (pick-wt=12): 220 [copy,219,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 3.17/3.40 ** KEPT (pick-wt=9): 222 [copy,221,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 3.17/3.40 ** KEPT (pick-wt=13): 223 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.17/3.40 ** KEPT (pick-wt=14): 224 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f58(B,C,A),relation_rng(A)).
% 3.17/3.40 ** KEPT (pick-wt=15): 225 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f58(B,C,A)),A).
% 3.17/3.40 ** KEPT (pick-wt=13): 226 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f58(B,C,A),C).
% 3.17/3.40 ** KEPT (pick-wt=19): 227 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 3.17/3.40 ** KEPT (pick-wt=8): 228 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 3.17/3.40 ** KEPT (pick-wt=14): 229 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 3.17/3.40 ** KEPT (pick-wt=12): 230 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 3.17/3.40 ** KEPT (pick-wt=11): 231 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.17/3.40 ** KEPT (pick-wt=6): 232 [] -in(A,B)|element(A,B).
% 3.17/3.40 ** KEPT (pick-wt=9): 233 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.17/3.40 ** KEPT (pick-wt=11): 234 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.17/3.40 ** KEPT (pick-wt=11): 235 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 3.17/3.40 ** KEPT (pick-wt=18): 236 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 3.17/3.40 ** KEPT (pick-wt=20): 237 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 3.17/3.40 ** KEPT (pick-wt=24): 238 [] -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)).
% 3.17/3.40 ** KEPT (pick-wt=9): 239 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.17/3.40 ** KEPT (pick-wt=25): 240 [] -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)).
% 3.17/3.40 ** KEPT (pick-wt=23): 241 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 3.17/3.40 ** KEPT (pick-wt=12): 242 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.17/3.40 ** KEPT (pick-wt=12): 243 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.17/3.40 ** KEPT (pick-wt=10): 244 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.17/3.40 ** KEPT (pick-wt=8): 245 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.17/3.40 Following clause subsumed by 61 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.17/3.40 ** KEPT (pick-wt=13): 246 [] -in($f59(A,B),A)| -in($f59(A,B),B)|A=B.
% 3.17/3.40 ** KEPT (pick-wt=11): 247 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 3.17/3.40 ** KEPT (pick-wt=11): 248 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 3.17/3.40 ** KEPT (pick-wt=10): 249 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.17/3.40 ** KEPT (pick-wt=10): 250 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.17/3.40 ** KEPT (pick-wt=10): 251 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.17/3.40 ** KEPT (pick-wt=12): 252 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 3.17/3.40 ** KEPT (pick-wt=16): 253 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 3.17/3.40 ** KEPT (pick-wt=17): 254 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f60(B,A),B).
% 3.17/3.40 ** KEPT (pick-wt=21): 255 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f60(B,A))!=$f60(B,A).
% 3.17/3.40 ** KEPT (pick-wt=9): 256 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 3.17/3.40 ** KEPT (pick-wt=8): 257 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.17/3.40 ** KEPT (pick-wt=8): 259 [copy,258,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 3.17/3.40 Following clause subsumed by 179 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.17/3.40 Following clause subsumed by 180 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.17/3.40 Following clause subsumed by 177 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 3.17/3.40 Following clause subsumed by 178 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 3.17/3.40 ** KEPT (pick-wt=8): 260 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.17/3.40 ** KEPT (pick-wt=8): 261 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.17/3.40 ** KEPT (pick-wt=11): 262 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.17/3.40 Following clause subsumed by 183 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.17/3.40 Following clause subsumed by 184 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.17/3.40 Following clause subsumed by 12 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.17/3.40 ** KEPT (pick-wt=7): 263 [] -element(A,powerset(B))|subset(A,B).
% 3.28/3.44 ** KEPT (pick-wt=7): 264 [] element(A,powerset(B))| -subset(A,B).
% 3.28/3.44 ** KEPT (pick-wt=9): 265 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 3.28/3.44 ** KEPT (pick-wt=6): 266 [] -subset(A,empty_set)|A=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=16): 267 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 3.28/3.44 ** KEPT (pick-wt=16): 268 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 3.28/3.44 ** KEPT (pick-wt=11): 269 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.28/3.44 ** KEPT (pick-wt=11): 270 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.28/3.44 ** KEPT (pick-wt=10): 272 [copy,271,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 3.28/3.44 ** KEPT (pick-wt=16): 273 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.28/3.44 ** KEPT (pick-wt=13): 274 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 3.28/3.44 Following clause subsumed by 175 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.28/3.44 ** KEPT (pick-wt=16): 275 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.28/3.44 ** KEPT (pick-wt=21): 276 [] -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)).
% 3.28/3.44 ** KEPT (pick-wt=21): 277 [] -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)).
% 3.28/3.44 ** KEPT (pick-wt=10): 278 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.28/3.44 ** KEPT (pick-wt=8): 279 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 3.28/3.44 ** KEPT (pick-wt=18): 280 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.28/3.44 ** KEPT (pick-wt=19): 281 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.28/3.44 ** KEPT (pick-wt=27): 282 [] -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)).
% 3.28/3.44 ** KEPT (pick-wt=28): 283 [] -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).
% 3.28/3.44 ** KEPT (pick-wt=27): 284 [] -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)).
% 3.28/3.44 ** KEPT (pick-wt=28): 285 [] -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).
% 3.28/3.44 ** KEPT (pick-wt=31): 286 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f64(A,B),relation_rng(A))|in($f63(A,B),relation_dom(A)).
% 3.28/3.44 ** KEPT (pick-wt=34): 288 [copy,287,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($f64(A,B),relation_rng(A))|apply(A,$f63(A,B))=$f64(A,B).
% 3.28/3.44 ** KEPT (pick-wt=34): 290 [copy,289,flip.8] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f64(A,B))=$f63(A,B)|in($f63(A,B),relation_dom(A)).
% 3.28/3.44 ** KEPT (pick-wt=37): 292 [copy,291,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,$f64(A,B))=$f63(A,B)|apply(A,$f63(A,B))=$f64(A,B).
% 3.28/3.44 ** KEPT (pick-wt=49): 294 [copy,293,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($f63(A,B),relation_dom(A))|apply(A,$f63(A,B))!=$f64(A,B)| -in($f64(A,B),relation_rng(A))|apply(B,$f64(A,B))!=$f63(A,B).
% 3.28/3.44 ** KEPT (pick-wt=12): 295 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 3.28/3.44 ** KEPT (pick-wt=12): 297 [copy,296,flip.2] relation_rng($c9)!=relation_dom(function_inverse($c9))|relation_rng(function_inverse($c9))!=relation_dom($c9).
% 3.28/3.44 ** KEPT (pick-wt=12): 298 [] -relation(A)|in(ordered_pair($f66(A),$f65(A)),A)|A=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=9): 299 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.28/3.44 ** KEPT (pick-wt=6): 300 [] -subset(A,B)| -proper_subset(B,A).
% 3.28/3.44 ** KEPT (pick-wt=9): 301 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.28/3.44 ** KEPT (pick-wt=9): 302 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=9): 303 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=10): 304 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=10): 305 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=9): 306 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.28/3.44 ** KEPT (pick-wt=5): 307 [] -empty(A)|A=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=8): 308 [] -subset(singleton(A),singleton(B))|A=B.
% 3.28/3.44 ** KEPT (pick-wt=13): 309 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 3.28/3.44 ** KEPT (pick-wt=15): 310 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 3.28/3.44 ** KEPT (pick-wt=18): 311 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 3.28/3.44 ** KEPT (pick-wt=5): 312 [] -in(A,B)| -empty(B).
% 3.28/3.44 ** KEPT (pick-wt=8): 313 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.28/3.44 ** KEPT (pick-wt=8): 314 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.28/3.44 ** KEPT (pick-wt=11): 315 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.28/3.44 ** KEPT (pick-wt=12): 316 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.28/3.44 ** KEPT (pick-wt=15): 317 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 3.28/3.44 ** KEPT (pick-wt=7): 318 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 3.28/3.44 ** KEPT (pick-wt=7): 319 [] -empty(A)|A=B| -empty(B).
% 3.28/3.44 Following clause subsumed by 234 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.28/3.44 ** KEPT (pick-wt=14): 320 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 3.28/3.44 Following clause subsumed by 90 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 3.28/3.44 ** KEPT (pick-wt=11): 321 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.28/3.44 ** KEPT (pick-wt=9): 322 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.28/3.44 ** KEPT (pick-wt=11): 323 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 3.28/3.44 Following clause subsumed by 185 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 3.28/3.44 ** KEPT (pick-wt=10): 324 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 3.28/3.44 ** KEPT (pick-wt=9): 325 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 3.28/3.44 ** KEPT (pick-wt=11): 326 [] -in(A,$f68(B))| -subset(C,A)|in(C,$f68(B)).
% 3.28/3.44 ** KEPT (pick-wt=10): 327 [] -in(A,$f68(B))|in($f67(B,A),$f68(B)).
% 3.28/3.44 ** KEPT (pick-wt=12): 328 [] -in(A,$f68(B))| -subset(C,A)|in(C,$f67(B,A)).
% 3.28/3.44 ** KEPT (pick-wt=12): 329 [] -subset(A,$f68(B))|are_e_quipotent(A,$f68(B))|in(A,$f68(B)).
% 3.28/3.44 ** KEPT (pick-wt=9): 330 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.28/3.44 84 back subsumes 81.
% 3.28/3.44 232 back subsumes 62.
% 3.28/3.44 320 back subsumes 91.
% 3.28/3.44 336 back subsumes 335.
% 3.28/3.44 340 back subsumes 339.
% 3.28/3.44
% 3.28/3.44 ------------> process sos:
% 3.28/3.44 ** KEPT (pick-wt=3): 451 [] A=A.
% 3.28/3.44 ** KEPT (pick-wt=7): 452 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.28/3.44 ** KEPT (pick-wt=7): 453 [] set_union2(A,B)=set_union2(B,A).
% 3.28/3.44 ** KEPT (pick-wt=7): 454 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.28/3.44 ** KEPT (pick-wt=6): 455 [] relation(A)|in($f15(A),A).
% 3.28/3.44 ** KEPT (pick-wt=14): 456 [] A=singleton(B)|in($f19(B,A),A)|$f19(B,A)=B.
% 3.28/3.44 ** KEPT (pick-wt=7): 457 [] A=empty_set|in($f20(A),A).
% 3.28/3.44 ** KEPT (pick-wt=14): 458 [] A=powerset(B)|in($f21(B,A),A)|subset($f21(B,A),B).
% 3.28/3.44 ** KEPT (pick-wt=23): 459 [] A=unordered_pair(B,C)|in($f24(B,C,A),A)|$f24(B,C,A)=B|$f24(B,C,A)=C.
% 3.28/3.44 ** KEPT (pick-wt=23): 460 [] A=set_union2(B,C)|in($f25(B,C,A),A)|in($f25(B,C,A),B)|in($f25(B,C,A),C).
% 3.28/3.44 ** KEPT (pick-wt=17): 461 [] A=cartesian_product2(B,C)|in($f30(B,C,A),A)|in($f29(B,C,A),B).
% 3.28/3.44 ** KEPT (pick-wt=17): 462 [] A=cartesian_product2(B,C)|in($f30(B,C,A),A)|in($f28(B,C,A),C).
% 3.28/3.44 ** KEPT (pick-wt=25): 464 [copy,463,flip.3] A=cartesian_product2(B,C)|in($f30(B,C,A),A)|ordered_pair($f29(B,C,A),$f28(B,C,A))=$f30(B,C,A).
% 3.28/3.44 ** KEPT (pick-wt=8): 465 [] subset(A,B)|in($f33(A,B),A).
% 3.28/3.44 ** KEPT (pick-wt=17): 466 [] A=set_intersection2(B,C)|in($f34(B,C,A),A)|in($f34(B,C,A),B).
% 3.28/3.44 ** KEPT (pick-wt=17): 467 [] A=set_intersection2(B,C)|in($f34(B,C,A),A)|in($f34(B,C,A),C).
% 3.28/3.44 ** KEPT (pick-wt=4): 468 [] cast_to_subset(A)=A.
% 3.28/3.44 ---> New Demodulator: 469 [new_demod,468] cast_to_subset(A)=A.
% 3.28/3.44 ** KEPT (pick-wt=16): 470 [] A=union(B)|in($f40(B,A),A)|in($f40(B,A),$f39(B,A)).
% 3.28/3.44 ** KEPT (pick-wt=14): 471 [] A=union(B)|in($f40(B,A),A)|in($f39(B,A),B).
% 3.28/3.44 ** KEPT (pick-wt=17): 472 [] A=set_difference(B,C)|in($f41(B,C,A),A)|in($f41(B,C,A),B).
% 3.28/3.44 ** KEPT (pick-wt=10): 474 [copy,473,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.28/3.44 ---> New Demodulator: 475 [new_demod,474] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.28/3.44 ** KEPT (pick-wt=4): 477 [copy,476,demod,469] element(A,powerset(A)).
% 3.28/3.44 ** KEPT (pick-wt=3): 478 [] relation(identity_relation(A)).
% 3.28/3.44 ** KEPT (pick-wt=4): 479 [] element($f52(A),A).
% 3.28/3.44 ** KEPT (pick-wt=2): 480 [] empty(empty_set).
% 3.28/3.44 ** KEPT (pick-wt=2): 481 [] relation(empty_set).
% 3.28/3.44 ** KEPT (pick-wt=2): 482 [] relation_empty_yielding(empty_set).
% 3.28/3.44 Following clause subsumed by 480 during input processing: 0 [] empty(empty_set).
% 3.28/3.44 Following clause subsumed by 478 during input processing: 0 [] relation(identity_relation(A)).
% 3.28/3.44 ** KEPT (pick-wt=3): 483 [] function(identity_relation(A)).
% 3.28/3.44 Following clause subsumed by 480 during input processing: 0 [] empty(empty_set).
% 3.28/3.44 Following clause subsumed by 481 during input processing: 0 [] relation(empty_set).
% 3.28/3.44 ** KEPT (pick-wt=5): 484 [] set_union2(A,A)=A.
% 3.28/3.44 ---> New Demodulator: 485 [new_demod,484] set_union2(A,A)=A.
% 3.28/3.44 ** KEPT (pick-wt=5): 486 [] set_intersection2(A,A)=A.
% 3.28/3.44 ---> New Demodulator: 487 [new_demod,486] set_intersection2(A,A)=A.
% 3.28/3.44 ** KEPT (pick-wt=7): 488 [] in(A,B)|disjoint(singleton(A),B).
% 3.28/3.44 ** KEPT (pick-wt=9): 489 [] in($f53(A,B),A)|element(A,powerset(B)).
% 3.28/3.44 ** KEPT (pick-wt=2): 490 [] relation($c1).
% 3.28/3.44 ** KEPT (pick-wt=2): 491 [] function($c1).
% 3.28/3.44 ** KEPT (pick-wt=2): 492 [] empty($c2).
% 3.28/3.44 ** KEPT (pick-wt=2): 493 [] relation($c2).
% 3.28/3.44 ** KEPT (pick-wt=7): 494 [] empty(A)|element($f54(A),powerset(A)).
% 3.28/3.44 ** KEPT (pick-wt=2): 495 [] empty($c3).
% 3.28/3.44 ** KEPT (pick-wt=2): 496 [] relation($c4).
% 3.28/3.44 ** KEPT (pick-wt=2): 497 [] empty($c4).
% 3.28/3.44 ** KEPT (pick-wt=2): 498 [] function($c4).
% 3.28/3.44 ** KEPT (pick-wt=2): 499 [] relation($c5).
% 3.28/3.44 ** KEPT (pick-wt=5): 500 [] element($f55(A),powerset(A)).
% 3.28/3.44 ** KEPT (pick-wt=3): 501 [] empty($f55(A)).
% 3.28/3.44 ** KEPT (pick-wt=2): 502 [] relation($c7).
% 3.28/3.44 ** KEPT (pick-wt=2): 503 [] function($c7).
% 3.28/3.44 ** KEPT (pick-wt=2): 504 [] one_to_one($c7).
% 3.28/3.44 ** KEPT (pick-wt=2): 505 [] relation($c8).
% 3.28/3.44 ** KEPT (pick-wt=2): 506 [] relation_empty_yielding($c8).
% 3.28/3.44 ** KEPT (pick-wt=3): 507 [] subset(A,A).
% 3.28/3.44 ** KEPT (pick-wt=4): 508 [] in(A,$f56(A)).
% 3.28/3.44 ** KEPT (pick-wt=5): 509 [] subset(set_intersection2(A,B),A).
% 3.28/3.44 ** KEPT (pick-wt=5): 510 [] set_union2(A,empty_set)=A.
% 3.28/3.44 ---> New Demodulator: 511 [new_demod,510] set_union2(A,empty_set)=A.
% 3.28/3.44 ** KEPT (pick-wt=5): 513 [copy,512,flip.1] singleton(empty_set)=powerset(empty_set).
% 3.28/3.44 ---> New Demodulator: 514 [new_demod,513] singleton(empty_set)=powerset(empty_set).
% 3.28/3.44 ** KEPT (pick-wt=5): 515 [] set_intersection2(A,empty_set)=empty_set.
% 3.28/3.44 ---> New Demodulator: 516 [new_demod,515] set_intersection2(A,empty_set)=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=13): 517 [] in($f59(A,B),A)|in($f59(A,B),B)|A=B.
% 3.28/3.44 ** KEPT (pick-wt=3): 518 [] subset(empty_set,A).
% 3.28/3.44 ** KEPT (pick-wt=5): 519 [] subset(set_difference(A,B),A).
% 3.28/3.44 ** KEPT (pick-wt=9): 520 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.28/3.44 ---> New Demodulator: 521 [new_demod,520] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.28/3.44 ** KEPT (pick-wt=5): 522 [] set_difference(A,empty_set)=A.
% 3.28/3.44 ---> New Demodulator: 523 [new_demod,522] set_difference(A,empty_set)=A.
% 3.28/3.44 ** KEPT (pick-wt=8): 524 [] disjoint(A,B)|in($f61(A,B),A).
% 3.28/3.44 ** KEPT (pick-wt=8): 525 [] disjoint(A,B)|in($f61(A,B),B).
% 3.28/3.44 ** KEPT (pick-wt=9): 526 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.28/3.44 ---> New Demodulator: 527 [new_demod,526] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.28/3.44 ** KEPT (pick-wt=9): 529 [copy,528,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.28/3.44 ---> New Demodulator: 530 [new_demod,529] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.28/3.44 ** KEPT (pick-wt=5): 531 [] set_difference(empty_set,A)=empty_set.
% 3.28/3.44 ---> New Demodulator: 532 [new_demod,531] set_difference(empty_set,A)=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=12): 534 [copy,533,demod,530] disjoint(A,B)|in($f62(A,B),set_difference(A,set_difference(A,B))).
% 3.28/3.44 ** KEPT (pick-wt=2): 535 [] relation($c9).
% 3.28/3.44 ** KEPT (pick-wt=2): 536 [] function($c9).
% 3.28/3.44 ** KEPT (pick-wt=2): 537 [] one_to_one($c9).
% 3.28/3.44 ** KEPT (pick-wt=4): 538 [] relation_dom(empty_set)=empty_set.
% 3.28/3.44 ---> New Demodulator: 539 [new_demod,538] relation_dom(empty_set)=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=4): 540 [] relation_rng(empty_set)=empty_set.
% 3.28/3.44 ---> New Demodulator: 541 [new_demod,540] relation_rng(empty_set)=empty_set.
% 3.28/3.44 ** KEPT (pick-wt=9): 542 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.28/3.44 ** KEPT (pick-wt=6): 544 [copy,543,flip.1] singleton(A)=unordered_pair(A,A).
% 3.28/3.44 ---> New Demodulator: 545 [new_demod,544] singleton(A)=unordered_pair(A,A).
% 3.28/3.44 ** KEPT (pick-wt=5): 546 [] relation_dom(identity_relation(A))=A.
% 3.28/3.44 ---> New Demodulator: 547 [new_demod,546] relation_dom(identity_relation(A))=A.
% 3.28/3.44 ** KEPT (pick-wt=5): 548 [] relation_rng(identity_relation(A))=A.
% 3.28/3.44 ---> New Demodulator: 549 [new_demod,548] relation_rng(identity_relation(A))=A.
% 3.28/3.44 ** KEPT (pick-wt=5): 550 [] subset(A,set_union2(A,B)).
% 3.28/3.44 ** KEPT (pick-wt=5): 551 [] union(powerset(A))=A.
% 3.28/3.44 ---> New Demodulator: 552 [new_demod,551] union(powerset(A))=A.
% 3.28/3.44 ** KEPT (pick-wt=4): 553 [] in(A,$f68(A)).
% 3.28/3.44 Following clause subsumed by 451 during input processing: 0 [copy,451,flip.1] A=A.
% 3.28/3.44 451 back subsumes 439.
% 3.28/3.44 451 back subsumes 419.
% 3.28/3.44 451 back subsumes 348.
% 3.28/3.44 451 back subsumes 347.
% 3.28/3.44 451 back subsumes 333.
% 3.28/3.44 Following clause subsumed by 452 during input processing: 0 [copy,452,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 3.28/3.44 Following clause subsumed by 453 during input processing: 0 [copy,453,flip.1] set_union2(A,B)=set_union2(B,A).
% 3.28/3.44 ** KEPT (pick-wt=11): 554 [copy,454,flip.1,demod,530,530] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 3.28/3.44 >>>> Starting back demodulation with 469.
% 3.28/3.44 >> back demodulating 277 with 469.
% 3.28/3.44 >> back demodulating 276 with 469.
% 3.28/3.44 >>>> Starting back demodulation with 475.
% 3.28/3.44 >>>> Starting back demodulation with 485.
% 3.28/3.44 >> back demodulating 440 with 485.
% 3.28/3.44 >> back demodulating 401 with 485.
% 3.28/3.44 >> back demodulating 351 with 485.
% 3.28/3.44 >>>> Starting back demodulation with 487.
% 3.28/3.44 >> back demodulating 442 with 487.
% 3.28/3.44 >> back demodulating 411 with 487.
% 3.28/3.44 >> back demodulating 400 with 487.
% 3.28/3.44 >> back demodulating 363 with 487.
% 3.28/3.44 >> back demodulating 360 with 487.
% 3.28/3.44 507 back subsumes 418.
% 3.28/3.44 507 back subsumes 417.
% 3.28/3.44 507 back subsumes 359.
% 3.28/3.44 507 back subsumes 358.
% 3.28/3.44 >>>> Starting back demodulation with 511.
% 3.28/3.44 >>>> Starting back demodulation with 514.
% 3.28/3.44 >>>> Starting back demodulation with 516.
% 3.28/3.44 >>>> Starting back demodulation with 521.
% 3.28/3.44 >> back demodulating 272 with 521.
% 3.28/3.44 >>>> Starting back demodulation with 523.
% 3.28/3.44 >>>> Starting back demodulation with 527.
% 3.28/3.44 >>>> Starting back demodulation with 530.
% 3.28/3.44 >> back demodulating 515 with 530.
% 3.28/3.44 >> back demodulating 509 with 530.
% 3.28/3.44 >> back demodulating 486 with 530.
% 3.28/3.44 >> back demodulating 467 with 530.
% 3.28/3.44 >> back demodulating 466 with 530.
% 3.28/3.44 >> back demodulating 454 with 530.
% 3.28/3.44 >> back demodulating 362 with 530.
% 3.28/3.44 >> back demodulating 361 with 530.
% 3.28/3.44 >> back demodulating 323 with 530.
% 3.28/3.44 >> back demodulating 279 with 530.
% 11.39/11.56 >> back demodulating 245 with 530.
% 11.39/11.56 >> back demodulating 244 with 530.
% 11.39/11.56 >> back demodulating 231 with 530.
% 11.39/11.56 >> back demodulating 220 with 530.
% 11.39/11.56 >> back demodulating 206 with 530.
% 11.39/11.56 >> back demodulating 152 with 530.
% 11.39/11.56 >> back demodulating 119 with 530.
% 11.39/11.56 >> back demodulating 118 with 530.
% 11.39/11.56 >> back demodulating 89 with 530.
% 11.39/11.56 >> back demodulating 88 with 530.
% 11.39/11.56 >> back demodulating 87 with 530.
% 11.39/11.56 >> back demodulating 86 with 530.
% 11.39/11.56 >>>> Starting back demodulation with 532.
% 11.39/11.56 >>>> Starting back demodulation with 539.
% 11.39/11.56 >>>> Starting back demodulation with 541.
% 11.39/11.56 >>>> Starting back demodulation with 545.
% 11.39/11.56 >> back demodulating 542 with 545.
% 11.39/11.56 >> back demodulating 513 with 545.
% 11.39/11.56 >> back demodulating 488 with 545.
% 11.39/11.56 >> back demodulating 474 with 545.
% 11.39/11.56 >> back demodulating 456 with 545.
% 11.39/11.56 >> back demodulating 330 with 545.
% 11.39/11.56 >> back demodulating 322 with 545.
% 11.39/11.56 >> back demodulating 308 with 545.
% 11.39/11.56 >> back demodulating 306 with 545.
% 11.39/11.56 >> back demodulating 184 with 545.
% 11.39/11.56 >> back demodulating 183 with 545.
% 11.39/11.56 >> back demodulating 182 with 545.
% 11.39/11.56 >> back demodulating 178 with 545.
% 11.39/11.56 >> back demodulating 177 with 545.
% 11.39/11.56 >> back demodulating 176 with 545.
% 11.39/11.56 >> back demodulating 175 with 545.
% 11.39/11.56 >> back demodulating 174 with 545.
% 11.39/11.56 >> back demodulating 156 with 545.
% 11.39/11.56 >> back demodulating 52 with 545.
% 11.39/11.56 >> back demodulating 51 with 545.
% 11.39/11.56 >> back demodulating 50 with 545.
% 11.39/11.56 >>>> Starting back demodulation with 547.
% 11.39/11.56 >>>> Starting back demodulation with 549.
% 11.39/11.56 >>>> Starting back demodulation with 552.
% 11.39/11.56 Following clause subsumed by 554 during input processing: 0 [copy,554,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 11.39/11.56 564 back subsumes 57.
% 11.39/11.56 566 back subsumes 58.
% 11.39/11.56 >>>> Starting back demodulation with 568.
% 11.39/11.56 >> back demodulating 404 with 568.
% 11.39/11.56 >>>> Starting back demodulation with 588.
% 11.39/11.56 >>>> Starting back demodulation with 591.
% 11.39/11.56
% 11.39/11.56 ======= end of input processing =======
% 11.39/11.56
% 11.39/11.56 =========== start of search ===========
% 11.39/11.56
% 11.39/11.56
% 11.39/11.56 Resetting weight limit to 2.
% 11.39/11.56
% 11.39/11.56
% 11.39/11.56 Resetting weight limit to 2.
% 11.39/11.56
% 11.39/11.56 sos_size=114
% 11.39/11.56
% 11.39/11.56 Search stopped because sos empty.
% 11.39/11.56
% 11.39/11.56
% 11.39/11.56 Search stopped because sos empty.
% 11.39/11.56
% 11.39/11.56 ============ end of search ============
% 11.39/11.56
% 11.39/11.56 -------------- statistics -------------
% 11.39/11.56 clauses given 123
% 11.39/11.56 clauses generated 444230
% 11.39/11.56 clauses kept 570
% 11.39/11.56 clauses forward subsumed 206
% 11.39/11.56 clauses back subsumed 16
% 11.39/11.56 Kbytes malloced 7812
% 11.39/11.56
% 11.39/11.56 ----------- times (seconds) -----------
% 11.39/11.56 user CPU time 8.20 (0 hr, 0 min, 8 sec)
% 11.39/11.56 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 11.39/11.56 wall-clock time 11 (0 hr, 0 min, 11 sec)
% 11.39/11.56
% 11.39/11.56 Process 23022 finished Wed Jul 27 07:43:36 2022
% 11.39/11.56 Otter interrupted
% 11.39/11.56 PROOF NOT FOUND
%------------------------------------------------------------------------------