TSTP Solution File: SEU228+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU228+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:15:15 EDT 2022
% Result : Unknown 23.70s 23.87s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU228+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:59:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.62/3.81 ----- Otter 3.3f, August 2004 -----
% 3.62/3.81 The process was started by sandbox2 on n014.cluster.edu,
% 3.62/3.81 Wed Jul 27 07:59:24 2022
% 3.62/3.81 The command was "./otter". The process ID is 28477.
% 3.62/3.81
% 3.62/3.81 set(prolog_style_variables).
% 3.62/3.81 set(auto).
% 3.62/3.81 dependent: set(auto1).
% 3.62/3.81 dependent: set(process_input).
% 3.62/3.81 dependent: clear(print_kept).
% 3.62/3.81 dependent: clear(print_new_demod).
% 3.62/3.81 dependent: clear(print_back_demod).
% 3.62/3.81 dependent: clear(print_back_sub).
% 3.62/3.81 dependent: set(control_memory).
% 3.62/3.81 dependent: assign(max_mem, 12000).
% 3.62/3.81 dependent: assign(pick_given_ratio, 4).
% 3.62/3.81 dependent: assign(stats_level, 1).
% 3.62/3.81 dependent: assign(max_seconds, 10800).
% 3.62/3.81 clear(print_given).
% 3.62/3.81
% 3.62/3.81 formula_list(usable).
% 3.62/3.81 all A (A=A).
% 3.62/3.81 all A B (in(A,B)-> -in(B,A)).
% 3.62/3.81 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 3.62/3.81 all A (empty(A)->function(A)).
% 3.62/3.81 all A (empty(A)->relation(A)).
% 3.62/3.81 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 3.62/3.81 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 3.62/3.81 all A B (set_union2(A,B)=set_union2(B,A)).
% 3.62/3.81 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 3.62/3.81 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 3.62/3.81 all A B (A=B<->subset(A,B)&subset(B,A)).
% 3.62/3.81 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))))))).
% 3.62/3.81 all A (relation(A)&function(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(E,relation_dom(A))&in(E,B)&D=apply(A,E)))))))).
% 3.62/3.81 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))))))).
% 3.62/3.81 all A (relation(A)&function(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<->in(D,relation_dom(A))&in(apply(A,D),B)))))).
% 3.62/3.81 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)))))))).
% 3.62/3.81 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)))))))).
% 3.62/3.81 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 3.62/3.81 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))).
% 3.62/3.81 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 3.62/3.81 all A (A=empty_set<-> (all B (-in(B,A)))).
% 3.62/3.81 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 3.62/3.81 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))))))).
% 3.62/3.81 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 3.62/3.81 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 3.62/3.81 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 3.62/3.81 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)))))).
% 3.62/3.81 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))))))).
% 3.62/3.81 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 3.62/3.81 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 3.62/3.81 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))))).
% 3.62/3.81 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 3.62/3.81 all A (cast_to_subset(A)=A).
% 3.62/3.81 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 3.62/3.81 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 3.62/3.81 all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 3.62/3.81 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 3.62/3.81 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 3.62/3.81 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 3.62/3.81 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 3.62/3.81 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))))))).
% 3.62/3.81 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 3.62/3.81 all A (relation(A)&function(A)-> (one_to_one(A)<-> (all B C (in(B,relation_dom(A))&in(C,relation_dom(A))&apply(A,B)=apply(A,C)->B=C)))).
% 3.62/3.81 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))))))))))).
% 3.62/3.81 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)))))))).
% 3.62/3.81 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 3.62/3.81 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 3.62/3.81 $T.
% 3.62/3.81 all A element(cast_to_subset(A),powerset(A)).
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 all A (relation(A)->relation(relation_inverse(A))).
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 3.62/3.81 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 3.62/3.81 all A relation(identity_relation(A)).
% 3.62/3.81 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 3.62/3.81 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 3.62/3.81 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 3.62/3.81 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 3.62/3.81 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 3.62/3.81 $T.
% 3.62/3.81 $T.
% 3.62/3.81 all A exists B element(B,A).
% 3.62/3.81 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 3.62/3.81 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 3.62/3.81 empty(empty_set).
% 3.62/3.81 relation(empty_set).
% 3.62/3.81 relation_empty_yielding(empty_set).
% 3.62/3.81 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 3.62/3.81 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 3.62/3.81 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 3.62/3.81 all A (-empty(powerset(A))).
% 3.62/3.81 empty(empty_set).
% 3.62/3.81 all A B (-empty(ordered_pair(A,B))).
% 3.62/3.81 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 3.62/3.81 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 3.62/3.81 all A (-empty(singleton(A))).
% 3.62/3.81 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 3.62/3.81 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 3.62/3.81 all A B (-empty(unordered_pair(A,B))).
% 3.62/3.81 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 3.62/3.81 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 3.62/3.81 empty(empty_set).
% 3.62/3.81 relation(empty_set).
% 3.62/3.81 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.62/3.81 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 3.62/3.81 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 3.62/3.81 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 3.62/3.81 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 3.62/3.81 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 3.62/3.81 all A B (set_union2(A,A)=A).
% 3.62/3.81 all A B (set_intersection2(A,A)=A).
% 3.62/3.81 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 3.62/3.81 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 3.62/3.81 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 3.62/3.81 all A B (-proper_subset(A,A)).
% 3.62/3.81 all A (singleton(A)!=empty_set).
% 3.62/3.81 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.62/3.81 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 3.62/3.81 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 3.62/3.81 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.62/3.81 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.69/3.81 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 3.69/3.81 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 3.69/3.81 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.69/3.81 all A B (in(A,B)->subset(A,union(B))).
% 3.69/3.81 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.69/3.81 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 3.69/3.81 all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))<->in(B,relation_dom(C))&in(B,A))).
% 3.69/3.81 exists A (relation(A)&function(A)).
% 3.69/3.81 exists A (empty(A)&relation(A)).
% 3.69/3.81 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.69/3.81 exists A empty(A).
% 3.69/3.81 exists A (relation(A)&empty(A)&function(A)).
% 3.69/3.81 exists A (-empty(A)&relation(A)).
% 3.69/3.81 all A exists B (element(B,powerset(A))&empty(B)).
% 3.69/3.81 exists A (-empty(A)).
% 3.69/3.81 exists A (relation(A)&function(A)&one_to_one(A)).
% 3.69/3.81 exists A (relation(A)&relation_empty_yielding(A)).
% 3.69/3.81 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 3.69/3.81 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 3.69/3.81 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 3.69/3.81 all A B subset(A,A).
% 3.69/3.81 all A B (disjoint(A,B)->disjoint(B,A)).
% 3.69/3.81 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.69/3.81 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 3.69/3.81 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 3.69/3.81 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 3.69/3.81 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 3.69/3.81 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 3.69/3.81 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))).
% 3.69/3.81 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 3.69/3.81 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 3.69/3.81 all A B (subset(A,B)->set_union2(A,B)=B).
% 3.69/3.81 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))))).
% 3.69/3.81 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 3.69/3.81 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))))).
% 3.69/3.81 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 3.69/3.81 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 3.69/3.81 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 3.69/3.81 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 3.69/3.81 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 3.69/3.81 -(all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A))).
% 3.69/3.81 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 3.69/3.81 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))))).
% 3.69/3.81 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 3.69/3.81 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 3.69/3.81 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 3.69/3.81 all A B subset(set_intersection2(A,B),A).
% 3.69/3.81 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 3.69/3.81 all A (set_union2(A,empty_set)=A).
% 3.69/3.81 all A B (in(A,B)->element(A,B)).
% 3.69/3.81 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 3.69/3.81 powerset(empty_set)=singleton(empty_set).
% 3.69/3.81 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 3.69/3.81 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)))))).
% 3.69/3.82 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 3.69/3.82 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)))))).
% 3.69/3.82 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)))))).
% 3.69/3.82 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)))))).
% 3.69/3.82 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 3.69/3.82 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 3.69/3.82 all A (set_intersection2(A,empty_set)=empty_set).
% 3.69/3.82 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.69/3.82 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.69/3.82 all A subset(empty_set,A).
% 3.69/3.82 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 3.69/3.82 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 3.69/3.82 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 3.69/3.82 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 3.69/3.82 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 3.69/3.82 all A B subset(set_difference(A,B),A).
% 3.69/3.82 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 3.69/3.82 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.69/3.82 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.69/3.82 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 3.69/3.82 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 3.69/3.82 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.69/3.82 all A (set_difference(A,empty_set)=A).
% 3.69/3.82 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.69/3.82 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))).
% 3.69/3.82 all A (subset(A,empty_set)->A=empty_set).
% 3.69/3.82 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 3.69/3.82 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 3.69/3.82 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 3.69/3.82 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 3.69/3.82 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 3.69/3.82 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 3.69/3.82 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 3.69/3.82 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.69/3.82 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 3.69/3.82 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)))).
% 3.69/3.82 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)))).
% 3.69/3.82 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 3.69/3.82 all A (set_difference(empty_set,A)=empty_set).
% 3.69/3.82 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.69/3.82 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))).
% 3.69/3.82 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)))))))).
% 3.69/3.82 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))))))))).
% 3.69/3.82 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 3.69/3.82 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)))).
% 3.69/3.82 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 3.69/3.82 all A B (relation(B)&function(B)-> (one_to_one(B)&in(A,relation_rng(B))->A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A))).
% 3.69/3.82 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.69/3.82 relation_dom(empty_set)=empty_set.
% 3.69/3.82 relation_rng(empty_set)=empty_set.
% 3.69/3.82 all A B (-(subset(A,B)&proper_subset(B,A))).
% 3.69/3.82 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 3.69/3.82 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 3.69/3.82 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 3.69/3.82 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 3.69/3.82 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 3.69/3.82 all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (B=relation_dom_restriction(C,A)<->relation_dom(B)=set_intersection2(relation_dom(C),A)& (all D (in(D,relation_dom(B))->apply(B,D)=apply(C,D))))))).
% 3.69/3.82 all A (unordered_pair(A,A)=singleton(A)).
% 3.69/3.82 all A (empty(A)->A=empty_set).
% 3.69/3.82 all A B (subset(singleton(A),singleton(B))->A=B).
% 3.69/3.82 all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.69/3.82 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 3.69/3.82 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.69/3.82 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))).
% 3.69/3.82 all A B (-(in(A,B)&empty(B))).
% 3.69/3.82 all A B subset(A,set_union2(A,B)).
% 3.69/3.82 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 3.69/3.82 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 3.69/3.82 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 3.69/3.82 all A B (-(empty(A)&A!=B&empty(B))).
% 3.69/3.82 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 3.69/3.82 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 3.69/3.82 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 3.69/3.82 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 3.69/3.82 all A B (in(A,B)->subset(A,union(B))).
% 3.69/3.82 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 3.69/3.82 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 3.69/3.82 all A (union(powerset(A))=A).
% 3.69/3.82 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))))).
% 3.69/3.82 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 3.69/3.82 end_of_list.
% 3.69/3.82
% 3.69/3.82 -------> usable clausifies to:
% 3.69/3.82
% 3.69/3.82 list(usable).
% 3.69/3.82 0 [] A=A.
% 3.69/3.82 0 [] -in(A,B)| -in(B,A).
% 3.69/3.82 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.69/3.82 0 [] -empty(A)|function(A).
% 3.69/3.82 0 [] -empty(A)|relation(A).
% 3.69/3.82 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.69/3.82 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.69/3.82 0 [] set_union2(A,B)=set_union2(B,A).
% 3.69/3.82 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.69/3.82 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 3.69/3.82 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 3.69/3.82 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 3.69/3.82 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 3.69/3.82 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 3.69/3.82 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)!=$f1(A,B).
% 3.69/3.82 0 [] A!=B|subset(A,B).
% 3.69/3.82 0 [] A!=B|subset(B,A).
% 3.69/3.82 0 [] A=B| -subset(A,B)| -subset(B,A).
% 3.69/3.82 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 3.69/3.82 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 3.69/3.82 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 3.69/3.82 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 3.69/3.82 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).
% 3.69/3.82 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),$f3(A,B,C)),A).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)|in(D,C)| -in(E,relation_dom(A))| -in(E,B)|D!=apply(A,E).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 3.69/3.82 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 3.69/3.82 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 3.69/3.82 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 3.69/3.82 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 3.69/3.82 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 3.69/3.82 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)| -in($f8(A,B,C),A)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 3.69/3.82 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 3.69/3.82 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 3.69/3.82 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 3.69/3.82 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 3.69/3.82 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 3.69/3.82 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 3.69/3.82 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 3.69/3.82 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 3.69/3.82 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 3.69/3.82 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 3.69/3.82 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 3.69/3.82 0 [] -relation(A)|C=relation_inverse_image(A,B)| -in($f16(A,B,C),C)| -in(ordered_pair($f16(A,B,C),X3),A)| -in(X3,B).
% 3.69/3.82 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f18(A,B),$f17(A,B)).
% 3.69/3.82 0 [] relation(A)|in($f19(A),A).
% 3.69/3.82 0 [] relation(A)|$f19(A)!=ordered_pair(C,D).
% 3.69/3.82 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.69/3.82 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f20(A,B,C),A).
% 3.69/3.82 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f20(A,B,C)).
% 3.69/3.82 0 [] A=empty_set|B=set_meet(A)|in($f22(A,B),B)| -in(X4,A)|in($f22(A,B),X4).
% 3.69/3.82 0 [] A=empty_set|B=set_meet(A)| -in($f22(A,B),B)|in($f21(A,B),A).
% 3.69/3.82 0 [] A=empty_set|B=set_meet(A)| -in($f22(A,B),B)| -in($f22(A,B),$f21(A,B)).
% 3.69/3.82 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.69/3.82 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.69/3.82 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 3.69/3.82 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 3.69/3.82 0 [] B=singleton(A)|in($f23(A,B),B)|$f23(A,B)=A.
% 3.69/3.82 0 [] B=singleton(A)| -in($f23(A,B),B)|$f23(A,B)!=A.
% 3.69/3.82 0 [] A!=empty_set| -in(B,A).
% 3.69/3.82 0 [] A=empty_set|in($f24(A),A).
% 3.69/3.82 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 3.69/3.82 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 3.69/3.82 0 [] B=powerset(A)|in($f25(A,B),B)|subset($f25(A,B),A).
% 3.69/3.82 0 [] B=powerset(A)| -in($f25(A,B),B)| -subset($f25(A,B),A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f27(A,B),$f26(A,B)),A)|in(ordered_pair($f27(A,B),$f26(A,B)),B).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f27(A,B),$f26(A,B)),A)| -in(ordered_pair($f27(A,B),$f26(A,B)),B).
% 3.69/3.82 0 [] empty(A)| -element(B,A)|in(B,A).
% 3.69/3.82 0 [] empty(A)|element(B,A)| -in(B,A).
% 3.69/3.82 0 [] -empty(A)| -element(B,A)|empty(B).
% 3.69/3.82 0 [] -empty(A)|element(B,A)| -empty(B).
% 3.69/3.82 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 3.69/3.82 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 3.69/3.82 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 3.69/3.82 0 [] C=unordered_pair(A,B)|in($f28(A,B,C),C)|$f28(A,B,C)=A|$f28(A,B,C)=B.
% 3.69/3.82 0 [] C=unordered_pair(A,B)| -in($f28(A,B,C),C)|$f28(A,B,C)!=A.
% 3.69/3.82 0 [] C=unordered_pair(A,B)| -in($f28(A,B,C),C)|$f28(A,B,C)!=B.
% 3.69/3.82 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 3.69/3.82 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 3.69/3.82 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 3.69/3.82 0 [] C=set_union2(A,B)|in($f29(A,B,C),C)|in($f29(A,B,C),A)|in($f29(A,B,C),B).
% 3.69/3.82 0 [] C=set_union2(A,B)| -in($f29(A,B,C),C)| -in($f29(A,B,C),A).
% 3.69/3.82 0 [] C=set_union2(A,B)| -in($f29(A,B,C),C)| -in($f29(A,B,C),B).
% 3.69/3.82 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f31(A,B,C,D),A).
% 3.69/3.82 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f30(A,B,C,D),B).
% 3.69/3.82 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f31(A,B,C,D),$f30(A,B,C,D)).
% 3.69/3.82 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 3.69/3.82 0 [] C=cartesian_product2(A,B)|in($f34(A,B,C),C)|in($f33(A,B,C),A).
% 3.69/3.82 0 [] C=cartesian_product2(A,B)|in($f34(A,B,C),C)|in($f32(A,B,C),B).
% 3.69/3.82 0 [] C=cartesian_product2(A,B)|in($f34(A,B,C),C)|$f34(A,B,C)=ordered_pair($f33(A,B,C),$f32(A,B,C)).
% 3.69/3.82 0 [] C=cartesian_product2(A,B)| -in($f34(A,B,C),C)| -in(X5,A)| -in(X6,B)|$f34(A,B,C)!=ordered_pair(X5,X6).
% 3.69/3.82 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f36(A,B),$f35(A,B)),A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f36(A,B),$f35(A,B)),B).
% 3.69/3.82 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.69/3.82 0 [] subset(A,B)|in($f37(A,B),A).
% 3.69/3.82 0 [] subset(A,B)| -in($f37(A,B),B).
% 3.69/3.82 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 3.69/3.82 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 3.69/3.82 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 3.69/3.82 0 [] C=set_intersection2(A,B)|in($f38(A,B,C),C)|in($f38(A,B,C),A).
% 3.69/3.82 0 [] C=set_intersection2(A,B)|in($f38(A,B,C),C)|in($f38(A,B,C),B).
% 3.69/3.82 0 [] C=set_intersection2(A,B)| -in($f38(A,B,C),C)| -in($f38(A,B,C),A)| -in($f38(A,B,C),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.69/3.82 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.69/3.82 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.69/3.82 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.69/3.82 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f39(A,B,C)),A).
% 3.69/3.82 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.69/3.82 0 [] -relation(A)|B=relation_dom(A)|in($f41(A,B),B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 3.69/3.82 0 [] -relation(A)|B=relation_dom(A)| -in($f41(A,B),B)| -in(ordered_pair($f41(A,B),X7),A).
% 3.69/3.82 0 [] cast_to_subset(A)=A.
% 3.69/3.82 0 [] B!=union(A)| -in(C,B)|in(C,$f42(A,B,C)).
% 3.69/3.82 0 [] B!=union(A)| -in(C,B)|in($f42(A,B,C),A).
% 3.69/3.82 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 3.69/3.82 0 [] B=union(A)|in($f44(A,B),B)|in($f44(A,B),$f43(A,B)).
% 3.69/3.82 0 [] B=union(A)|in($f44(A,B),B)|in($f43(A,B),A).
% 3.69/3.82 0 [] B=union(A)| -in($f44(A,B),B)| -in($f44(A,B),X8)| -in(X8,A).
% 3.69/3.82 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 3.69/3.82 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 3.69/3.82 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 3.69/3.82 0 [] C=set_difference(A,B)|in($f45(A,B,C),C)|in($f45(A,B,C),A).
% 3.69/3.82 0 [] C=set_difference(A,B)|in($f45(A,B,C),C)| -in($f45(A,B,C),B).
% 3.69/3.82 0 [] C=set_difference(A,B)| -in($f45(A,B,C),C)| -in($f45(A,B,C),A)|in($f45(A,B,C),B).
% 3.69/3.82 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f46(A,B,C),relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f46(A,B,C)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.69/3.82 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f48(A,B),B)|in($f47(A,B),relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f48(A,B),B)|$f48(A,B)=apply(A,$f47(A,B)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f48(A,B),B)| -in(X9,relation_dom(A))|$f48(A,B)!=apply(A,X9).
% 3.69/3.82 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f49(A,B,C),C),A).
% 3.69/3.82 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.69/3.82 0 [] -relation(A)|B=relation_rng(A)|in($f51(A,B),B)|in(ordered_pair($f50(A,B),$f51(A,B)),A).
% 3.69/3.82 0 [] -relation(A)|B=relation_rng(A)| -in($f51(A,B),B)| -in(ordered_pair(X10,$f51(A,B)),A).
% 3.69/3.82 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 3.69/3.82 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 3.69/3.82 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f53(A,B),$f52(A,B)),B)|in(ordered_pair($f52(A,B),$f53(A,B)),A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f53(A,B),$f52(A,B)),B)| -in(ordered_pair($f52(A,B),$f53(A,B)),A).
% 3.69/3.82 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.69/3.82 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.69/3.82 0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.69/3.82 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f55(A),relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f54(A),relation_dom(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f55(A))=apply(A,$f54(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|one_to_one(A)|$f55(A)!=$f54(A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f56(A,B,C,D,E)),A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f56(A,B,C,D,E),E),B).
% 3.69/3.82 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).
% 3.69/3.82 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f59(A,B,C),$f58(A,B,C)),C)|in(ordered_pair($f59(A,B,C),$f57(A,B,C)),A).
% 3.69/3.82 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f59(A,B,C),$f58(A,B,C)),C)|in(ordered_pair($f57(A,B,C),$f58(A,B,C)),B).
% 3.69/3.82 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f59(A,B,C),$f58(A,B,C)),C)| -in(ordered_pair($f59(A,B,C),X11),A)| -in(ordered_pair(X11,$f58(A,B,C)),B).
% 3.69/3.82 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).
% 3.69/3.82 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).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f60(A,B,C),powerset(A)).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f60(A,B,C),C)|in(subset_complement(A,$f60(A,B,C)),B).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f60(A,B,C),C)| -in(subset_complement(A,$f60(A,B,C)),B).
% 3.69/3.82 0 [] -proper_subset(A,B)|subset(A,B).
% 3.69/3.82 0 [] -proper_subset(A,B)|A!=B.
% 3.69/3.82 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.69/3.82 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] element(cast_to_subset(A),powerset(A)).
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] -relation(A)|relation(relation_inverse(A)).
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 3.69/3.82 0 [] relation(identity_relation(A)).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 3.69/3.82 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 3.69/3.82 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 3.69/3.82 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] $T.
% 3.69/3.82 0 [] element($f61(A),A).
% 3.69/3.82 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.69/3.82 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.69/3.82 0 [] -empty(A)|empty(relation_inverse(A)).
% 3.69/3.82 0 [] -empty(A)|relation(relation_inverse(A)).
% 3.69/3.82 0 [] empty(empty_set).
% 3.69/3.82 0 [] relation(empty_set).
% 3.69/3.82 0 [] relation_empty_yielding(empty_set).
% 3.69/3.82 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.82 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.69/3.82 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.69/3.82 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.69/3.82 0 [] -empty(powerset(A)).
% 3.69/3.82 0 [] empty(empty_set).
% 3.69/3.82 0 [] -empty(ordered_pair(A,B)).
% 3.69/3.82 0 [] relation(identity_relation(A)).
% 3.69/3.82 0 [] function(identity_relation(A)).
% 3.69/3.82 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.69/3.82 0 [] -empty(singleton(A)).
% 3.69/3.82 0 [] empty(A)| -empty(set_union2(A,B)).
% 3.69/3.82 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.69/3.82 0 [] -empty(unordered_pair(A,B)).
% 3.69/3.82 0 [] empty(A)| -empty(set_union2(B,A)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.82 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.69/3.82 0 [] empty(empty_set).
% 3.69/3.82 0 [] relation(empty_set).
% 3.69/3.82 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.69/3.82 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.69/3.82 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.69/3.82 0 [] -empty(A)|empty(relation_dom(A)).
% 3.69/3.82 0 [] -empty(A)|relation(relation_dom(A)).
% 3.69/3.82 0 [] -empty(A)|empty(relation_rng(A)).
% 3.69/3.82 0 [] -empty(A)|relation(relation_rng(A)).
% 3.69/3.82 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.69/3.82 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.69/3.82 0 [] set_union2(A,A)=A.
% 3.69/3.82 0 [] set_intersection2(A,A)=A.
% 3.69/3.82 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 3.69/3.82 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 3.69/3.82 0 [] -proper_subset(A,A).
% 3.69/3.82 0 [] singleton(A)!=empty_set.
% 3.69/3.82 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.69/3.82 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.69/3.82 0 [] in(A,B)|disjoint(singleton(A),B).
% 3.69/3.82 0 [] -subset(singleton(A),B)|in(A,B).
% 3.69/3.82 0 [] subset(singleton(A),B)| -in(A,B).
% 3.69/3.82 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.69/3.82 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.69/3.82 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 3.69/3.82 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.69/3.82 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.69/3.82 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.69/3.82 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.69/3.82 0 [] -in(A,B)|subset(A,union(B)).
% 3.69/3.82 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.69/3.82 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.69/3.82 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.69/3.82 0 [] in($f62(A,B),A)|element(A,powerset(B)).
% 3.69/3.82 0 [] -in($f62(A,B),B)|element(A,powerset(B)).
% 3.69/3.82 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 3.69/3.82 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 3.69/3.82 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 3.69/3.82 0 [] relation($c1).
% 3.69/3.82 0 [] function($c1).
% 3.69/3.82 0 [] empty($c2).
% 3.69/3.82 0 [] relation($c2).
% 3.69/3.82 0 [] empty(A)|element($f63(A),powerset(A)).
% 3.69/3.82 0 [] empty(A)| -empty($f63(A)).
% 3.69/3.82 0 [] empty($c3).
% 3.69/3.82 0 [] relation($c4).
% 3.69/3.82 0 [] empty($c4).
% 3.69/3.82 0 [] function($c4).
% 3.69/3.82 0 [] -empty($c5).
% 3.69/3.82 0 [] relation($c5).
% 3.69/3.82 0 [] element($f64(A),powerset(A)).
% 3.69/3.82 0 [] empty($f64(A)).
% 3.69/3.82 0 [] -empty($c6).
% 3.69/3.82 0 [] relation($c7).
% 3.69/3.82 0 [] function($c7).
% 3.69/3.82 0 [] one_to_one($c7).
% 3.69/3.82 0 [] relation($c8).
% 3.69/3.82 0 [] relation_empty_yielding($c8).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 3.69/3.82 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 3.69/3.82 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 3.69/3.82 0 [] subset(A,A).
% 3.69/3.82 0 [] -disjoint(A,B)|disjoint(B,A).
% 3.69/3.82 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.69/3.82 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.69/3.82 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.69/3.82 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.69/3.82 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 3.69/3.82 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 3.69/3.82 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 3.69/3.82 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 3.69/3.82 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 3.69/3.82 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 3.69/3.82 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.69/3.82 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.69/3.82 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 3.69/3.82 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.69/3.82 0 [] -subset(A,B)|set_union2(A,B)=B.
% 3.69/3.82 0 [] in(A,$f65(A)).
% 3.69/3.82 0 [] -in(C,$f65(A))| -subset(D,C)|in(D,$f65(A)).
% 3.69/3.82 0 [] -in(X12,$f65(A))|in(powerset(X12),$f65(A)).
% 3.69/3.82 0 [] -subset(X13,$f65(A))|are_e_quipotent(X13,$f65(A))|in(X13,$f65(A)).
% 3.69/3.82 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 3.69/3.82 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f66(A,B,C),relation_dom(C)).
% 3.69/3.82 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f66(A,B,C),A),C).
% 3.69/3.82 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f66(A,B,C),B).
% 3.69/3.82 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 3.69/3.82 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 3.69/3.82 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 3.69/3.82 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 3.69/3.83 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 3.69/3.83 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 3.69/3.83 0 [] relation($c9).
% 3.69/3.83 0 [] function($c9).
% 3.69/3.83 0 [] subset($c10,relation_rng($c9)).
% 3.69/3.83 0 [] relation_image($c9,relation_inverse_image($c9,$c10))!=$c10.
% 3.69/3.83 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.69/3.83 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f67(A,B,C),relation_rng(C)).
% 3.69/3.83 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f67(A,B,C)),C).
% 3.69/3.83 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f67(A,B,C),B).
% 3.69/3.83 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 3.69/3.83 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 3.69/3.83 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 3.69/3.83 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 3.69/3.83 0 [] subset(set_intersection2(A,B),A).
% 3.69/3.83 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.69/3.83 0 [] set_union2(A,empty_set)=A.
% 3.69/3.83 0 [] -in(A,B)|element(A,B).
% 3.69/3.83 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.69/3.83 0 [] powerset(empty_set)=singleton(empty_set).
% 3.69/3.83 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.69/3.83 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 3.69/3.83 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 3.69/3.83 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 3.69/3.83 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)).
% 3.69/3.83 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.69/3.83 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)).
% 3.69/3.83 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)).
% 3.69/3.83 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.69/3.83 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.69/3.83 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.69/3.83 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.69/3.83 0 [] set_intersection2(A,empty_set)=empty_set.
% 3.69/3.83 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.69/3.83 0 [] in($f68(A,B),A)|in($f68(A,B),B)|A=B.
% 3.69/3.83 0 [] -in($f68(A,B),A)| -in($f68(A,B),B)|A=B.
% 3.69/3.83 0 [] subset(empty_set,A).
% 3.69/3.83 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 3.69/3.83 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 3.69/3.83 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.69/3.83 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.69/3.83 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.69/3.83 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 3.69/3.83 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 3.69/3.83 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f69(A,B),A).
% 3.69/3.83 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f69(A,B))!=$f69(A,B).
% 3.69/3.83 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 3.69/3.83 0 [] subset(set_difference(A,B),A).
% 3.69/3.83 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.69/3.83 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 3.69/3.83 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.69/3.83 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.69/3.83 0 [] -subset(singleton(A),B)|in(A,B).
% 3.69/3.83 0 [] subset(singleton(A),B)| -in(A,B).
% 3.69/3.83 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.69/3.83 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.69/3.83 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.69/3.83 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.69/3.83 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.69/3.83 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.69/3.83 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.69/3.83 0 [] set_difference(A,empty_set)=A.
% 3.69/3.83 0 [] -element(A,powerset(B))|subset(A,B).
% 3.69/3.83 0 [] element(A,powerset(B))| -subset(A,B).
% 3.69/3.83 0 [] disjoint(A,B)|in($f70(A,B),A).
% 3.69/3.83 0 [] disjoint(A,B)|in($f70(A,B),B).
% 3.69/3.83 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 3.69/3.83 0 [] -subset(A,empty_set)|A=empty_set.
% 3.69/3.83 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.69/3.83 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 3.69/3.83 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 3.69/3.83 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.69/3.83 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.69/3.83 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 3.69/3.83 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.69/3.83 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 3.69/3.83 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.69/3.83 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.69/3.83 0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 3.69/3.83 0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 3.69/3.83 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 3.69/3.83 0 [] set_difference(empty_set,A)=empty_set.
% 3.69/3.83 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.69/3.83 0 [] disjoint(A,B)|in($f71(A,B),set_intersection2(A,B)).
% 3.69/3.83 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 3.69/3.83 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.69/3.83 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)).
% 3.69/3.83 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).
% 3.69/3.83 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)).
% 3.69/3.83 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).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f73(A,B),relation_rng(A))|in($f72(A,B),relation_dom(A)).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f73(A,B),relation_rng(A))|$f73(A,B)=apply(A,$f72(A,B)).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f72(A,B)=apply(B,$f73(A,B))|in($f72(A,B),relation_dom(A)).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f72(A,B)=apply(B,$f73(A,B))|$f73(A,B)=apply(A,$f72(A,B)).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f72(A,B),relation_dom(A))|$f73(A,B)!=apply(A,$f72(A,B))| -in($f73(A,B),relation_rng(A))|$f72(A,B)!=apply(B,$f73(A,B)).
% 3.69/3.83 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 3.69/3.83 0 [] -relation(A)|in(ordered_pair($f75(A),$f74(A)),A)|A=empty_set.
% 3.69/3.83 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 3.69/3.83 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 3.69/3.83 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.69/3.83 0 [] relation_dom(empty_set)=empty_set.
% 3.69/3.83 0 [] relation_rng(empty_set)=empty_set.
% 3.69/3.83 0 [] -subset(A,B)| -proper_subset(B,A).
% 3.69/3.83 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.69/3.83 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.69/3.83 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.69/3.83 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.69/3.83 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.69/3.83 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.69/3.83 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.69/3.83 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.69/3.83 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 3.69/3.83 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)| -in(D,relation_dom(B))|apply(B,D)=apply(C,D).
% 3.69/3.83 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|in($f76(A,B,C),relation_dom(B)).
% 3.69/3.83 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|apply(B,$f76(A,B,C))!=apply(C,$f76(A,B,C)).
% 3.69/3.83 0 [] unordered_pair(A,A)=singleton(A).
% 3.69/3.83 0 [] -empty(A)|A=empty_set.
% 3.69/3.83 0 [] -subset(singleton(A),singleton(B))|A=B.
% 3.69/3.83 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.69/3.83 0 [] relation_dom(identity_relation(A))=A.
% 3.69/3.83 0 [] relation_rng(identity_relation(A))=A.
% 3.69/3.83 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.69/3.83 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 3.69/3.83 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 3.69/3.83 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 3.69/3.83 0 [] -in(A,B)| -empty(B).
% 3.69/3.83 0 [] subset(A,set_union2(A,B)).
% 3.69/3.83 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.69/3.83 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.69/3.83 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 3.69/3.83 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 3.69/3.83 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 3.69/3.83 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 3.69/3.83 0 [] -empty(A)|A=B| -empty(B).
% 3.69/3.83 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.69/3.83 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 3.69/3.83 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 3.69/3.83 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.69/3.83 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.69/3.83 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 3.69/3.83 0 [] -in(A,B)|subset(A,union(B)).
% 3.69/3.83 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 3.69/3.83 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 3.69/3.83 0 [] union(powerset(A))=A.
% 3.69/3.83 0 [] in(A,$f78(A)).
% 3.69/3.83 0 [] -in(C,$f78(A))| -subset(D,C)|in(D,$f78(A)).
% 3.69/3.83 0 [] -in(X14,$f78(A))|in($f77(A,X14),$f78(A)).
% 3.69/3.83 0 [] -in(X14,$f78(A))| -subset(E,X14)|in(E,$f77(A,X14)).
% 3.69/3.83 0 [] -subset(X15,$f78(A))|are_e_quipotent(X15,$f78(A))|in(X15,$f78(A)).
% 3.69/3.83 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.69/3.83 end_of_list.
% 3.69/3.83
% 3.69/3.83 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 3.69/3.83
% 3.69/3.83 This ia a non-Horn set with equality. The strategy will be
% 3.69/3.83 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.69/3.83 deletion, with positive clauses in sos and nonpositive
% 3.69/3.83 clauses in usable.
% 3.69/3.83
% 3.69/3.83 dependent: set(knuth_bendix).
% 3.69/3.83 dependent: set(anl_eq).
% 3.69/3.83 dependent: set(para_from).
% 3.69/3.83 dependent: set(para_into).
% 3.69/3.83 dependent: clear(para_from_right).
% 3.69/3.83 dependent: clear(para_into_right).
% 3.69/3.83 dependent: set(para_from_vars).
% 3.69/3.83 dependent: set(eq_units_both_ways).
% 3.69/3.83 dependent: set(dynamic_demod_all).
% 3.69/3.83 dependent: set(dynamic_demod).
% 3.69/3.83 dependent: set(order_eq).
% 3.69/3.83 dependent: set(back_demod).
% 3.69/3.83 dependent: set(lrpo).
% 3.69/3.83 dependent: set(hyper_res).
% 3.69/3.83 dependent: set(unit_deletion).
% 3.69/3.83 dependent: set(factor).
% 3.69/3.83
% 3.69/3.83 ------------> process usable:
% 3.69/3.83 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 3.69/3.83 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.69/3.83 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 3.69/3.83 ** KEPT (pick-wt=4): 4 [] -empty(A)|relation(A).
% 3.69/3.83 ** KEPT (pick-wt=8): 5 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.69/3.83 ** KEPT (pick-wt=14): 6 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 3.69/3.83 ** KEPT (pick-wt=14): 7 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 3.69/3.83 ** KEPT (pick-wt=17): 8 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 3.69/3.83 ** KEPT (pick-wt=20): 9 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 3.69/3.83 ** KEPT (pick-wt=22): 10 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 3.69/3.83 ** KEPT (pick-wt=27): 11 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 3.69/3.83 ** KEPT (pick-wt=6): 12 [] A!=B|subset(A,B).
% 3.69/3.83 ** KEPT (pick-wt=6): 13 [] A!=B|subset(B,A).
% 3.69/3.83 ** KEPT (pick-wt=9): 14 [] A=B| -subset(A,B)| -subset(B,A).
% 3.69/3.83 ** KEPT (pick-wt=17): 15 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 3.69/3.83 ** 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).
% 3.69/3.83 ** 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).
% 3.69/3.83 ** 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($f4(A,C,B),C).
% 3.69/3.83 ** KEPT (pick-wt=31): 19 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 3.69/3.83 ** KEPT (pick-wt=37): 20 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($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).
% 3.69/3.83 ** KEPT (pick-wt=20): 21 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 3.69/3.83 ** KEPT (pick-wt=19): 22 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 3.69/3.83 ** KEPT (pick-wt=21): 24 [copy,23,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 3.69/3.83 ** KEPT (pick-wt=24): 25 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 3.69/3.83 ** KEPT (pick-wt=22): 26 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 3.69/3.83 ** KEPT (pick-wt=21): 27 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 3.69/3.83 ** KEPT (pick-wt=26): 29 [copy,28,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 3.69/3.83 ** KEPT (pick-wt=30): 30 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f7(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f7(A,C,B)!=apply(A,D).
% 3.69/3.83 ** KEPT (pick-wt=17): 31 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 3.69/3.83 ** KEPT (pick-wt=19): 32 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.69/3.83 ** KEPT (pick-wt=22): 33 [] -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).
% 3.69/3.83 ** KEPT (pick-wt=26): 34 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in($f8(C,A,B),C).
% 3.69/3.83 ** KEPT (pick-wt=31): 35 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 3.69/3.83 ** KEPT (pick-wt=37): 36 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)| -in($f8(C,A,B),C)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 3.69/3.83 ** KEPT (pick-wt=16): 37 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 3.69/3.83 ** KEPT (pick-wt=17): 38 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 3.69/3.83 ** KEPT (pick-wt=21): 39 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 3.69/3.83 ** KEPT (pick-wt=22): 40 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 3.69/3.83 ** KEPT (pick-wt=23): 41 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 3.69/3.83 ** KEPT (pick-wt=30): 42 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f10(A,C,B),B)| -in($f10(A,C,B),relation_dom(A))| -in(apply(A,$f10(A,C,B)),C).
% 3.69/3.83 ** KEPT (pick-wt=19): 43 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 3.69/3.83 ** KEPT (pick-wt=17): 44 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 3.69/3.83 ** KEPT (pick-wt=18): 45 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 3.69/3.83 ** KEPT (pick-wt=24): 46 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 3.69/3.83 ** KEPT (pick-wt=19): 47 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 3.69/3.83 ** KEPT (pick-wt=24): 48 [] -relation(A)|B=relation_image(A,C)| -in($f13(A,C,B),B)| -in(ordered_pair(D,$f13(A,C,B)),A)| -in(D,C).
% 3.69/3.83 ** KEPT (pick-wt=19): 49 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 3.69/3.83 ** KEPT (pick-wt=17): 50 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 3.69/3.83 ** KEPT (pick-wt=18): 51 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 3.69/3.83 ** KEPT (pick-wt=24): 52 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 3.69/3.83 ** KEPT (pick-wt=19): 53 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 3.69/3.83 ** KEPT (pick-wt=24): 54 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f16(A,C,B),B)| -in(ordered_pair($f16(A,C,B),D),A)| -in(D,C).
% 3.69/3.83 ** KEPT (pick-wt=14): 56 [copy,55,flip.3] -relation(A)| -in(B,A)|ordered_pair($f18(A,B),$f17(A,B))=B.
% 3.69/3.83 ** KEPT (pick-wt=8): 57 [] relation(A)|$f19(A)!=ordered_pair(B,C).
% 3.69/3.83 ** KEPT (pick-wt=16): 58 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.69/3.83 ** KEPT (pick-wt=16): 59 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f20(A,B,C),A).
% 3.69/3.83 ** KEPT (pick-wt=16): 60 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f20(A,B,C)).
% 3.69/3.83 ** KEPT (pick-wt=20): 61 [] A=empty_set|B=set_meet(A)|in($f22(A,B),B)| -in(C,A)|in($f22(A,B),C).
% 3.69/3.83 ** KEPT (pick-wt=17): 62 [] A=empty_set|B=set_meet(A)| -in($f22(A,B),B)|in($f21(A,B),A).
% 3.69/3.83 ** KEPT (pick-wt=19): 63 [] A=empty_set|B=set_meet(A)| -in($f22(A,B),B)| -in($f22(A,B),$f21(A,B)).
% 3.69/3.83 ** KEPT (pick-wt=10): 64 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.69/3.83 ** KEPT (pick-wt=10): 65 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.69/3.83 ** KEPT (pick-wt=10): 66 [] A!=singleton(B)| -in(C,A)|C=B.
% 3.69/3.83 ** KEPT (pick-wt=10): 67 [] A!=singleton(B)|in(C,A)|C!=B.
% 3.69/3.83 ** KEPT (pick-wt=14): 68 [] A=singleton(B)| -in($f23(B,A),A)|$f23(B,A)!=B.
% 3.69/3.83 ** KEPT (pick-wt=6): 69 [] A!=empty_set| -in(B,A).
% 3.69/3.83 ** KEPT (pick-wt=10): 70 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 3.69/3.83 ** KEPT (pick-wt=10): 71 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 3.69/3.83 ** KEPT (pick-wt=14): 72 [] A=powerset(B)| -in($f25(B,A),A)| -subset($f25(B,A),B).
% 3.69/3.83 ** KEPT (pick-wt=17): 73 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.83 ** KEPT (pick-wt=17): 74 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.69/3.84 ** KEPT (pick-wt=25): 75 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f27(A,B),$f26(A,B)),A)|in(ordered_pair($f27(A,B),$f26(A,B)),B).
% 3.69/3.84 ** KEPT (pick-wt=25): 76 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f27(A,B),$f26(A,B)),A)| -in(ordered_pair($f27(A,B),$f26(A,B)),B).
% 3.69/3.84 ** KEPT (pick-wt=8): 77 [] empty(A)| -element(B,A)|in(B,A).
% 3.69/3.84 ** KEPT (pick-wt=8): 78 [] empty(A)|element(B,A)| -in(B,A).
% 3.69/3.84 ** KEPT (pick-wt=7): 79 [] -empty(A)| -element(B,A)|empty(B).
% 3.69/3.84 ** KEPT (pick-wt=7): 80 [] -empty(A)|element(B,A)| -empty(B).
% 3.69/3.84 ** KEPT (pick-wt=14): 81 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 3.69/3.84 ** KEPT (pick-wt=11): 82 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 3.69/3.84 ** KEPT (pick-wt=11): 83 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 3.69/3.84 ** KEPT (pick-wt=17): 84 [] A=unordered_pair(B,C)| -in($f28(B,C,A),A)|$f28(B,C,A)!=B.
% 3.69/3.84 ** KEPT (pick-wt=17): 85 [] A=unordered_pair(B,C)| -in($f28(B,C,A),A)|$f28(B,C,A)!=C.
% 3.69/3.84 ** KEPT (pick-wt=14): 86 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 3.69/3.84 ** KEPT (pick-wt=11): 87 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 3.69/3.84 ** KEPT (pick-wt=11): 88 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 3.69/3.84 ** KEPT (pick-wt=17): 89 [] A=set_union2(B,C)| -in($f29(B,C,A),A)| -in($f29(B,C,A),B).
% 3.69/3.84 ** KEPT (pick-wt=17): 90 [] A=set_union2(B,C)| -in($f29(B,C,A),A)| -in($f29(B,C,A),C).
% 3.69/3.84 ** KEPT (pick-wt=15): 91 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f31(B,C,A,D),B).
% 3.69/3.84 ** KEPT (pick-wt=15): 92 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f30(B,C,A,D),C).
% 3.69/3.84 ** KEPT (pick-wt=21): 94 [copy,93,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f31(B,C,A,D),$f30(B,C,A,D))=D.
% 3.69/3.84 ** KEPT (pick-wt=19): 95 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 3.69/3.84 ** KEPT (pick-wt=25): 96 [] A=cartesian_product2(B,C)| -in($f34(B,C,A),A)| -in(D,B)| -in(E,C)|$f34(B,C,A)!=ordered_pair(D,E).
% 3.69/3.84 ** KEPT (pick-wt=17): 97 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.69/3.84 ** KEPT (pick-wt=16): 98 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f36(A,B),$f35(A,B)),A).
% 3.69/3.84 ** KEPT (pick-wt=16): 99 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f36(A,B),$f35(A,B)),B).
% 3.69/3.84 ** KEPT (pick-wt=9): 100 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.69/3.84 ** KEPT (pick-wt=8): 101 [] subset(A,B)| -in($f37(A,B),B).
% 3.69/3.84 ** KEPT (pick-wt=11): 102 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 3.69/3.84 ** KEPT (pick-wt=11): 103 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 3.69/3.84 ** KEPT (pick-wt=14): 104 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 3.69/3.84 ** KEPT (pick-wt=23): 105 [] A=set_intersection2(B,C)| -in($f38(B,C,A),A)| -in($f38(B,C,A),B)| -in($f38(B,C,A),C).
% 3.69/3.84 ** KEPT (pick-wt=18): 106 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.69/3.84 ** KEPT (pick-wt=18): 107 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.69/3.84 ** KEPT (pick-wt=16): 108 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.69/3.84 ** KEPT (pick-wt=16): 109 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.69/3.84 ** KEPT (pick-wt=17): 110 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f39(A,B,C)),A).
% 3.69/3.84 ** KEPT (pick-wt=14): 111 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.69/3.84 ** KEPT (pick-wt=20): 112 [] -relation(A)|B=relation_dom(A)|in($f41(A,B),B)|in(ordered_pair($f41(A,B),$f40(A,B)),A).
% 3.69/3.84 ** KEPT (pick-wt=18): 113 [] -relation(A)|B=relation_dom(A)| -in($f41(A,B),B)| -in(ordered_pair($f41(A,B),C),A).
% 3.69/3.84 ** KEPT (pick-wt=13): 114 [] A!=union(B)| -in(C,A)|in(C,$f42(B,A,C)).
% 3.69/3.84 ** KEPT (pick-wt=13): 115 [] A!=union(B)| -in(C,A)|in($f42(B,A,C),B).
% 3.69/3.84 ** KEPT (pick-wt=13): 116 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 3.69/3.84 ** KEPT (pick-wt=17): 117 [] A=union(B)| -in($f44(B,A),A)| -in($f44(B,A),C)| -in(C,B).
% 3.69/3.84 ** KEPT (pick-wt=11): 118 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 3.69/3.84 ** KEPT (pick-wt=11): 119 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 3.69/3.84 ** KEPT (pick-wt=14): 120 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 3.69/3.84 ** KEPT (pick-wt=17): 121 [] A=set_difference(B,C)|in($f45(B,C,A),A)| -in($f45(B,C,A),C).
% 3.69/3.84 ** KEPT (pick-wt=23): 122 [] A=set_difference(B,C)| -in($f45(B,C,A),A)| -in($f45(B,C,A),B)|in($f45(B,C,A),C).
% 3.69/3.84 ** KEPT (pick-wt=18): 123 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f46(A,B,C),relation_dom(A)).
% 3.69/3.84 ** KEPT (pick-wt=19): 125 [copy,124,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f46(A,B,C))=C.
% 3.69/3.84 ** KEPT (pick-wt=20): 126 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.69/3.84 ** KEPT (pick-wt=19): 127 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f48(A,B),B)|in($f47(A,B),relation_dom(A)).
% 3.69/3.84 ** KEPT (pick-wt=22): 129 [copy,128,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f48(A,B),B)|apply(A,$f47(A,B))=$f48(A,B).
% 3.69/3.84 ** KEPT (pick-wt=24): 130 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f48(A,B),B)| -in(C,relation_dom(A))|$f48(A,B)!=apply(A,C).
% 3.69/3.84 ** KEPT (pick-wt=17): 131 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f49(A,B,C),C),A).
% 3.69/3.84 ** KEPT (pick-wt=14): 132 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.69/3.84 ** KEPT (pick-wt=20): 133 [] -relation(A)|B=relation_rng(A)|in($f51(A,B),B)|in(ordered_pair($f50(A,B),$f51(A,B)),A).
% 3.69/3.84 ** KEPT (pick-wt=18): 134 [] -relation(A)|B=relation_rng(A)| -in($f51(A,B),B)| -in(ordered_pair(C,$f51(A,B)),A).
% 3.69/3.84 ** KEPT (pick-wt=11): 135 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 3.69/3.84 ** KEPT (pick-wt=10): 137 [copy,136,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 3.69/3.84 ** KEPT (pick-wt=18): 138 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.69/3.84 ** KEPT (pick-wt=18): 139 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.69/3.84 ** KEPT (pick-wt=26): 140 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f53(A,B),$f52(A,B)),B)|in(ordered_pair($f52(A,B),$f53(A,B)),A).
% 3.69/3.84 ** KEPT (pick-wt=26): 141 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f53(A,B),$f52(A,B)),B)| -in(ordered_pair($f52(A,B),$f53(A,B)),A).
% 3.69/3.84 ** KEPT (pick-wt=8): 142 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.69/3.84 ** KEPT (pick-wt=8): 143 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.69/3.84 ** KEPT (pick-wt=24): 144 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 3.69/3.84 ** KEPT (pick-wt=11): 145 [] -relation(A)| -function(A)|one_to_one(A)|in($f55(A),relation_dom(A)).
% 3.69/3.84 ** KEPT (pick-wt=11): 146 [] -relation(A)| -function(A)|one_to_one(A)|in($f54(A),relation_dom(A)).
% 3.69/3.84 ** KEPT (pick-wt=15): 147 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f55(A))=apply(A,$f54(A)).
% 3.69/3.84 ** KEPT (pick-wt=11): 148 [] -relation(A)| -function(A)|one_to_one(A)|$f55(A)!=$f54(A).
% 3.69/3.84 ** KEPT (pick-wt=26): 149 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f56(A,B,C,D,E)),A).
% 3.69/3.84 ** KEPT (pick-wt=26): 150 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f56(A,B,C,D,E),E),B).
% 3.69/3.84 ** KEPT (pick-wt=26): 151 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 3.69/3.84 ** KEPT (pick-wt=33): 152 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f59(A,B,C),$f58(A,B,C)),C)|in(ordered_pair($f59(A,B,C),$f57(A,B,C)),A).
% 3.69/3.84 ** KEPT (pick-wt=33): 153 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f59(A,B,C),$f58(A,B,C)),C)|in(ordered_pair($f57(A,B,C),$f58(A,B,C)),B).
% 3.69/3.84 ** KEPT (pick-wt=38): 154 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f59(A,B,C),$f58(A,B,C)),C)| -in(ordered_pair($f59(A,B,C),D),A)| -in(ordered_pair(D,$f58(A,B,C)),B).
% 3.69/3.84 ** KEPT (pick-wt=27): 155 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))| -in(D,C)|in(subset_complement(B,D),A).
% 3.69/3.84 ** KEPT (pick-wt=27): 156 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))|in(D,C)| -in(subset_complement(B,D),A).
% 3.69/3.84 ** KEPT (pick-wt=22): 157 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f60(B,A,C),powerset(B)).
% 3.69/3.84 ** KEPT (pick-wt=29): 158 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f60(B,A,C),C)|in(subset_complement(B,$f60(B,A,C)),A).
% 3.69/3.84 ** KEPT (pick-wt=29): 159 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f60(B,A,C),C)| -in(subset_complement(B,$f60(B,A,C)),A).
% 3.69/3.84 ** KEPT (pick-wt=6): 160 [] -proper_subset(A,B)|subset(A,B).
% 3.69/3.84 ** KEPT (pick-wt=6): 161 [] -proper_subset(A,B)|A!=B.
% 3.69/3.84 ** KEPT (pick-wt=9): 162 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.69/3.84 ** KEPT (pick-wt=11): 164 [copy,163,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 3.69/3.84 ** KEPT (pick-wt=7): 165 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.69/3.84 ** KEPT (pick-wt=7): 166 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.69/3.84 ** KEPT (pick-wt=10): 167 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 3.69/3.84 ** KEPT (pick-wt=5): 168 [] -relation(A)|relation(relation_inverse(A)).
% 3.69/3.84 ** KEPT (pick-wt=8): 169 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=11): 170 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 3.69/3.84 ** KEPT (pick-wt=11): 171 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 3.69/3.84 ** KEPT (pick-wt=15): 172 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 3.69/3.84 ** KEPT (pick-wt=6): 173 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=12): 174 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 3.69/3.84 ** KEPT (pick-wt=6): 175 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 3.69/3.84 ** KEPT (pick-wt=8): 176 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.69/3.84 ** KEPT (pick-wt=8): 177 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.69/3.84 ** KEPT (pick-wt=5): 178 [] -empty(A)|empty(relation_inverse(A)).
% 3.69/3.84 ** KEPT (pick-wt=5): 179 [] -empty(A)|relation(relation_inverse(A)).
% 3.69/3.84 Following clause subsumed by 173 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=8): 180 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.69/3.84 Following clause subsumed by 169 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=12): 181 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=8): 182 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=3): 183 [] -empty(powerset(A)).
% 3.69/3.84 ** KEPT (pick-wt=4): 184 [] -empty(ordered_pair(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=8): 185 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=3): 186 [] -empty(singleton(A)).
% 3.69/3.84 ** KEPT (pick-wt=6): 187 [] empty(A)| -empty(set_union2(A,B)).
% 3.69/3.84 Following clause subsumed by 168 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.69/3.84 ** KEPT (pick-wt=9): 188 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.69/3.84 ** KEPT (pick-wt=4): 189 [] -empty(unordered_pair(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=6): 190 [] empty(A)| -empty(set_union2(B,A)).
% 3.69/3.84 Following clause subsumed by 173 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=8): 191 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=8): 192 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.69/3.84 ** KEPT (pick-wt=7): 193 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=7): 194 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=5): 195 [] -empty(A)|empty(relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=5): 196 [] -empty(A)|relation(relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=5): 197 [] -empty(A)|empty(relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=5): 198 [] -empty(A)|relation(relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=8): 199 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.69/3.85 ** KEPT (pick-wt=8): 200 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.69/3.85 ** KEPT (pick-wt=11): 201 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 3.69/3.85 ** KEPT (pick-wt=7): 202 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.69/3.85 ** KEPT (pick-wt=12): 203 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 3.69/3.85 ** KEPT (pick-wt=3): 204 [] -proper_subset(A,A).
% 3.69/3.85 ** KEPT (pick-wt=4): 205 [] singleton(A)!=empty_set.
% 3.69/3.85 ** KEPT (pick-wt=9): 206 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.69/3.85 ** KEPT (pick-wt=7): 207 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.69/3.85 ** KEPT (pick-wt=7): 208 [] -subset(singleton(A),B)|in(A,B).
% 3.69/3.85 ** KEPT (pick-wt=7): 209 [] subset(singleton(A),B)| -in(A,B).
% 3.69/3.85 ** KEPT (pick-wt=8): 210 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.69/3.85 ** KEPT (pick-wt=8): 211 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.69/3.85 ** KEPT (pick-wt=10): 212 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 3.69/3.85 ** KEPT (pick-wt=12): 213 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.69/3.85 ** KEPT (pick-wt=11): 214 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.69/3.85 ** KEPT (pick-wt=7): 215 [] subset(A,singleton(B))|A!=empty_set.
% 3.69/3.85 Following clause subsumed by 12 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.69/3.85 ** KEPT (pick-wt=7): 216 [] -in(A,B)|subset(A,union(B)).
% 3.69/3.85 ** KEPT (pick-wt=10): 217 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.69/3.85 ** KEPT (pick-wt=10): 218 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.69/3.85 ** KEPT (pick-wt=13): 219 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.69/3.85 ** KEPT (pick-wt=9): 220 [] -in($f62(A,B),B)|element(A,powerset(B)).
% 3.69/3.85 ** KEPT (pick-wt=14): 221 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=13): 222 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.69/3.85 ** KEPT (pick-wt=17): 223 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 3.69/3.85 ** KEPT (pick-wt=5): 224 [] empty(A)| -empty($f63(A)).
% 3.69/3.85 ** KEPT (pick-wt=2): 225 [] -empty($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 226 [] -empty($c6).
% 3.69/3.85 ** KEPT (pick-wt=11): 227 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 3.69/3.85 ** KEPT (pick-wt=11): 228 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 3.69/3.85 ** KEPT (pick-wt=16): 229 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 3.69/3.85 ** KEPT (pick-wt=6): 230 [] -disjoint(A,B)|disjoint(B,A).
% 3.69/3.85 Following clause subsumed by 217 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.69/3.85 Following clause subsumed by 218 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.69/3.85 Following clause subsumed by 219 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.69/3.85 ** KEPT (pick-wt=13): 231 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.69/3.85 ** KEPT (pick-wt=11): 232 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 3.69/3.85 ** KEPT (pick-wt=12): 233 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=15): 234 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=8): 235 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 3.69/3.85 ** KEPT (pick-wt=7): 236 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 3.69/3.85 ** KEPT (pick-wt=9): 237 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=10): 238 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.69/3.85 ** KEPT (pick-wt=10): 239 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.69/3.85 ** KEPT (pick-wt=11): 240 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 3.69/3.85 ** KEPT (pick-wt=13): 241 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.69/3.85 ** KEPT (pick-wt=8): 242 [] -subset(A,B)|set_union2(A,B)=B.
% 3.69/3.85 ** KEPT (pick-wt=11): 243 [] -in(A,$f65(B))| -subset(C,A)|in(C,$f65(B)).
% 3.69/3.85 ** KEPT (pick-wt=9): 244 [] -in(A,$f65(B))|in(powerset(A),$f65(B)).
% 3.69/3.85 ** KEPT (pick-wt=12): 245 [] -subset(A,$f65(B))|are_e_quipotent(A,$f65(B))|in(A,$f65(B)).
% 3.69/3.85 ** KEPT (pick-wt=13): 247 [copy,246,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 3.69/3.85 ** KEPT (pick-wt=14): 248 [] -relation(A)| -in(B,relation_image(A,C))|in($f66(B,C,A),relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=15): 249 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f66(B,C,A),B),A).
% 3.69/3.85 ** KEPT (pick-wt=13): 250 [] -relation(A)| -in(B,relation_image(A,C))|in($f66(B,C,A),C).
% 3.69/3.85 ** KEPT (pick-wt=19): 251 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 3.69/3.85 ** KEPT (pick-wt=8): 252 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=11): 253 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 3.69/3.85 ** KEPT (pick-wt=12): 255 [copy,254,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 3.69/3.85 ** KEPT (pick-wt=13): 256 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 3.69/3.85 ** KEPT (pick-wt=9): 258 [copy,257,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=7): 259 [] relation_image($c9,relation_inverse_image($c9,$c10))!=$c10.
% 3.69/3.85 ** KEPT (pick-wt=13): 260 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=14): 261 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f67(B,C,A),relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=15): 262 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f67(B,C,A)),A).
% 3.69/3.85 ** KEPT (pick-wt=13): 263 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f67(B,C,A),C).
% 3.69/3.85 ** KEPT (pick-wt=19): 264 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 3.69/3.85 ** KEPT (pick-wt=8): 265 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=14): 266 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 3.69/3.85 ** KEPT (pick-wt=12): 267 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 3.69/3.85 ** KEPT (pick-wt=11): 268 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.69/3.85 ** KEPT (pick-wt=6): 269 [] -in(A,B)|element(A,B).
% 3.69/3.85 ** KEPT (pick-wt=9): 270 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.69/3.85 ** KEPT (pick-wt=11): 271 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=11): 272 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 3.69/3.85 ** KEPT (pick-wt=18): 273 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 3.69/3.85 ** KEPT (pick-wt=20): 274 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 3.69/3.85 ** KEPT (pick-wt=24): 275 [] -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)).
% 3.69/3.85 ** KEPT (pick-wt=9): 276 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.69/3.85 ** KEPT (pick-wt=25): 277 [] -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)).
% 3.69/3.86 ** KEPT (pick-wt=23): 278 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 3.69/3.86 ** KEPT (pick-wt=12): 279 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.69/3.86 ** KEPT (pick-wt=12): 280 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.69/3.86 ** KEPT (pick-wt=10): 281 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.69/3.86 ** KEPT (pick-wt=8): 282 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.69/3.86 Following clause subsumed by 77 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.69/3.86 ** KEPT (pick-wt=13): 283 [] -in($f68(A,B),A)| -in($f68(A,B),B)|A=B.
% 3.69/3.86 ** KEPT (pick-wt=11): 284 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 3.69/3.86 ** KEPT (pick-wt=11): 285 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 3.69/3.86 ** KEPT (pick-wt=10): 286 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.69/3.86 ** KEPT (pick-wt=10): 287 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.69/3.86 ** KEPT (pick-wt=10): 288 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.69/3.86 ** KEPT (pick-wt=12): 289 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 3.69/3.86 ** KEPT (pick-wt=16): 290 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 3.69/3.86 ** KEPT (pick-wt=17): 291 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f69(B,A),B).
% 3.69/3.86 ** KEPT (pick-wt=21): 292 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f69(B,A))!=$f69(B,A).
% 3.69/3.86 ** KEPT (pick-wt=9): 293 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 3.69/3.86 ** KEPT (pick-wt=8): 294 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.69/3.86 ** KEPT (pick-wt=8): 296 [copy,295,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 3.69/3.86 Following clause subsumed by 210 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.69/3.86 Following clause subsumed by 211 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.69/3.86 Following clause subsumed by 208 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 3.69/3.86 Following clause subsumed by 209 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 3.69/3.86 ** KEPT (pick-wt=8): 297 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.69/3.86 ** KEPT (pick-wt=8): 298 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.69/3.86 ** KEPT (pick-wt=11): 299 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.69/3.86 Following clause subsumed by 214 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.69/3.86 Following clause subsumed by 215 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.69/3.86 Following clause subsumed by 12 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.69/3.86 ** KEPT (pick-wt=7): 300 [] -element(A,powerset(B))|subset(A,B).
% 3.69/3.86 ** KEPT (pick-wt=7): 301 [] element(A,powerset(B))| -subset(A,B).
% 3.69/3.86 ** KEPT (pick-wt=9): 302 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 3.69/3.86 ** KEPT (pick-wt=6): 303 [] -subset(A,empty_set)|A=empty_set.
% 3.69/3.86 ** KEPT (pick-wt=16): 304 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 3.69/3.86 ** KEPT (pick-wt=16): 305 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 3.69/3.86 ** KEPT (pick-wt=11): 306 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.69/3.86 ** KEPT (pick-wt=11): 307 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.69/3.86 ** KEPT (pick-wt=10): 309 [copy,308,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 3.69/3.86 ** KEPT (pick-wt=16): 310 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.69/3.86 ** KEPT (pick-wt=13): 311 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 3.69/3.86 Following clause subsumed by 206 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.69/3.86 ** KEPT (pick-wt=16): 312 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.76/3.91 ** KEPT (pick-wt=21): 313 [] -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)).
% 3.76/3.91 ** KEPT (pick-wt=21): 314 [] -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)).
% 3.76/3.91 ** KEPT (pick-wt=10): 315 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.76/3.91 ** KEPT (pick-wt=8): 316 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 3.76/3.91 ** KEPT (pick-wt=18): 317 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.76/3.91 ** KEPT (pick-wt=19): 318 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.76/3.91 ** KEPT (pick-wt=27): 319 [] -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)).
% 3.76/3.91 ** KEPT (pick-wt=28): 320 [] -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).
% 3.76/3.91 ** KEPT (pick-wt=27): 321 [] -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)).
% 3.76/3.91 ** KEPT (pick-wt=28): 322 [] -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).
% 3.76/3.91 ** KEPT (pick-wt=31): 323 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f73(A,B),relation_rng(A))|in($f72(A,B),relation_dom(A)).
% 3.76/3.91 ** KEPT (pick-wt=34): 325 [copy,324,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($f73(A,B),relation_rng(A))|apply(A,$f72(A,B))=$f73(A,B).
% 3.76/3.91 ** KEPT (pick-wt=34): 327 [copy,326,flip.8] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f73(A,B))=$f72(A,B)|in($f72(A,B),relation_dom(A)).
% 3.76/3.91 ** KEPT (pick-wt=37): 329 [copy,328,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,$f73(A,B))=$f72(A,B)|apply(A,$f72(A,B))=$f73(A,B).
% 3.76/3.91 ** KEPT (pick-wt=49): 331 [copy,330,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($f72(A,B),relation_dom(A))|apply(A,$f72(A,B))!=$f73(A,B)| -in($f73(A,B),relation_rng(A))|apply(B,$f73(A,B))!=$f72(A,B).
% 3.76/3.91 ** KEPT (pick-wt=12): 332 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 3.76/3.91 ** KEPT (pick-wt=12): 333 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.76/3.91 ** KEPT (pick-wt=12): 335 [copy,334,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 3.76/3.91 ** KEPT (pick-wt=12): 336 [] -relation(A)|in(ordered_pair($f75(A),$f74(A)),A)|A=empty_set.
% 3.76/3.91 ** KEPT (pick-wt=18): 338 [copy,337,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 3.76/3.91 ** KEPT (pick-wt=18): 340 [copy,339,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 3.76/3.91 ** KEPT (pick-wt=9): 341 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.76/3.91 ** KEPT (pick-wt=6): 342 [] -subset(A,B)| -proper_subset(B,A).
% 3.76/3.91 ** KEPT (pick-wt=9): 343 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.76/3.91 ** KEPT (pick-wt=9): 344 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.76/3.91 ** KEPT (pick-wt=9): 345 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.76/3.91 ** KEPT (pick-wt=9): 346 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.76/3.91 ** KEPT (pick-wt=10): 347 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.76/3.91 ** KEPT (pick-wt=10): 348 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.76/3.91 ** KEPT (pick-wt=9): 349 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.76/3.91 ** KEPT (pick-wt=20): 350 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 3.76/3.91 ** KEPT (pick-wt=24): 351 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)| -in(D,relation_dom(A))|apply(A,D)=apply(B,D).
% 3.76/3.91 ** KEPT (pick-wt=27): 352 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f76(C,A,B),relation_dom(A)).
% 3.76/3.91 ** KEPT (pick-wt=33): 353 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|apply(A,$f76(C,A,B))!=apply(B,$f76(C,A,B)).
% 3.76/3.91 ** KEPT (pick-wt=5): 354 [] -empty(A)|A=empty_set.
% 3.76/3.91 ** KEPT (pick-wt=8): 355 [] -subset(singleton(A),singleton(B))|A=B.
% 3.76/3.91 ** KEPT (pick-wt=19): 356 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.76/3.91 ** KEPT (pick-wt=16): 357 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.76/3.91 ** KEPT (pick-wt=13): 358 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 3.76/3.91 ** KEPT (pick-wt=15): 359 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 3.76/3.91 ** KEPT (pick-wt=18): 360 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 3.76/3.91 ** KEPT (pick-wt=5): 361 [] -in(A,B)| -empty(B).
% 3.76/3.91 ** KEPT (pick-wt=8): 362 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.76/3.91 ** KEPT (pick-wt=8): 363 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.76/3.91 ** KEPT (pick-wt=11): 364 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.76/3.91 ** KEPT (pick-wt=12): 365 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.76/3.91 ** KEPT (pick-wt=15): 366 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 3.76/3.91 ** KEPT (pick-wt=7): 367 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 3.76/3.91 ** KEPT (pick-wt=7): 368 [] -empty(A)|A=B| -empty(B).
% 3.76/3.91 Following clause subsumed by 271 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.76/3.91 ** KEPT (pick-wt=14): 369 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 3.76/3.91 Following clause subsumed by 106 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 3.76/3.91 ** KEPT (pick-wt=11): 370 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.76/3.91 ** KEPT (pick-wt=9): 371 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.76/3.91 ** KEPT (pick-wt=11): 372 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 3.76/3.91 Following clause subsumed by 216 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 3.76/3.91 ** KEPT (pick-wt=10): 373 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 3.76/3.91 ** KEPT (pick-wt=9): 374 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 3.76/3.91 ** KEPT (pick-wt=11): 375 [] -in(A,$f78(B))| -subset(C,A)|in(C,$f78(B)).
% 3.76/3.91 ** KEPT (pick-wt=10): 376 [] -in(A,$f78(B))|in($f77(B,A),$f78(B)).
% 3.76/3.91 ** KEPT (pick-wt=12): 377 [] -in(A,$f78(B))| -subset(C,A)|in(C,$f77(B,A)).
% 3.76/3.91 ** KEPT (pick-wt=12): 378 [] -subset(A,$f78(B))|are_e_quipotent(A,$f78(B))|in(A,$f78(B)).
% 3.76/3.91 ** KEPT (pick-wt=9): 379 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.76/3.91 100 back subsumes 97.
% 3.76/3.91 269 back subsumes 78.
% 3.76/3.91 364 back subsumes 222.
% 3.76/3.91 365 back subsumes 221.
% 3.76/3.91 366 back subsumes 223.
% 3.76/3.91 369 back subsumes 107.
% 3.76/3.91 385 back subsumes 384.
% 3.76/3.91 393 back subsumes 392.
% 3.76/3.91
% 3.76/3.91 ------------> process sos:
% 3.76/3.91 ** KEPT (pick-wt=3): 513 [] A=A.
% 3.76/3.91 ** KEPT (pick-wt=7): 514 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.76/3.91 ** KEPT (pick-wt=7): 515 [] set_union2(A,B)=set_union2(B,A).
% 3.76/3.91 ** KEPT (pick-wt=7): 516 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.76/3.91 ** KEPT (pick-wt=6): 517 [] relation(A)|in($f19(A),A).
% 3.76/3.91 ** KEPT (pick-wt=14): 518 [] A=singleton(B)|in($f23(B,A),A)|$f23(B,A)=B.
% 3.76/3.91 ** KEPT (pick-wt=7): 519 [] A=empty_set|in($f24(A),A).
% 3.76/3.91 ** KEPT (pick-wt=14): 520 [] A=powerset(B)|in($f25(B,A),A)|subset($f25(B,A),B).
% 3.76/3.91 ** KEPT (pick-wt=23): 521 [] A=unordered_pair(B,C)|in($f28(B,C,A),A)|$f28(B,C,A)=B|$f28(B,C,A)=C.
% 3.76/3.91 ** KEPT (pick-wt=23): 522 [] A=set_union2(B,C)|in($f29(B,C,A),A)|in($f29(B,C,A),B)|in($f29(B,C,A),C).
% 3.76/3.91 ** KEPT (pick-wt=17): 523 [] A=cartesian_product2(B,C)|in($f34(B,C,A),A)|in($f33(B,C,A),B).
% 3.76/3.91 ** KEPT (pick-wt=17): 524 [] A=cartesian_product2(B,C)|in($f34(B,C,A),A)|in($f32(B,C,A),C).
% 3.76/3.91 ** KEPT (pick-wt=25): 526 [copy,525,flip.3] A=cartesian_product2(B,C)|in($f34(B,C,A),A)|ordered_pair($f33(B,C,A),$f32(B,C,A))=$f34(B,C,A).
% 3.76/3.91 ** KEPT (pick-wt=8): 527 [] subset(A,B)|in($f37(A,B),A).
% 3.76/3.91 ** KEPT (pick-wt=17): 528 [] A=set_intersection2(B,C)|in($f38(B,C,A),A)|in($f38(B,C,A),B).
% 3.76/3.91 ** KEPT (pick-wt=17): 529 [] A=set_intersection2(B,C)|in($f38(B,C,A),A)|in($f38(B,C,A),C).
% 3.76/3.91 ** KEPT (pick-wt=4): 530 [] cast_to_subset(A)=A.
% 3.76/3.91 ---> New Demodulator: 531 [new_demod,530] cast_to_subset(A)=A.
% 3.76/3.91 ** KEPT (pick-wt=16): 532 [] A=union(B)|in($f44(B,A),A)|in($f44(B,A),$f43(B,A)).
% 3.76/3.91 ** KEPT (pick-wt=14): 533 [] A=union(B)|in($f44(B,A),A)|in($f43(B,A),B).
% 3.76/3.91 ** KEPT (pick-wt=17): 534 [] A=set_difference(B,C)|in($f45(B,C,A),A)|in($f45(B,C,A),B).
% 3.76/3.91 ** KEPT (pick-wt=10): 536 [copy,535,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.76/3.91 ---> New Demodulator: 537 [new_demod,536] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.76/3.91 ** KEPT (pick-wt=4): 539 [copy,538,demod,531] element(A,powerset(A)).
% 3.76/3.91 ** KEPT (pick-wt=3): 540 [] relation(identity_relation(A)).
% 3.76/3.91 ** KEPT (pick-wt=4): 541 [] element($f61(A),A).
% 3.76/3.91 ** KEPT (pick-wt=2): 542 [] empty(empty_set).
% 3.76/3.91 ** KEPT (pick-wt=2): 543 [] relation(empty_set).
% 3.76/3.91 ** KEPT (pick-wt=2): 544 [] relation_empty_yielding(empty_set).
% 3.76/3.91 Following clause subsumed by 542 during input processing: 0 [] empty(empty_set).
% 3.76/3.91 Following clause subsumed by 540 during input processing: 0 [] relation(identity_relation(A)).
% 3.76/3.91 ** KEPT (pick-wt=3): 545 [] function(identity_relation(A)).
% 3.76/3.91 Following clause subsumed by 542 during input processing: 0 [] empty(empty_set).
% 3.76/3.91 Following clause subsumed by 543 during input processing: 0 [] relation(empty_set).
% 3.76/3.91 ** KEPT (pick-wt=5): 546 [] set_union2(A,A)=A.
% 3.76/3.91 ---> New Demodulator: 547 [new_demod,546] set_union2(A,A)=A.
% 3.76/3.91 ** KEPT (pick-wt=5): 548 [] set_intersection2(A,A)=A.
% 3.76/3.91 ---> New Demodulator: 549 [new_demod,548] set_intersection2(A,A)=A.
% 3.76/3.91 ** KEPT (pick-wt=7): 550 [] in(A,B)|disjoint(singleton(A),B).
% 3.76/3.91 ** KEPT (pick-wt=9): 551 [] in($f62(A,B),A)|element(A,powerset(B)).
% 3.76/3.91 ** KEPT (pick-wt=2): 552 [] relation($c1).
% 3.76/3.91 ** KEPT (pick-wt=2): 553 [] function($c1).
% 3.76/3.91 ** KEPT (pick-wt=2): 554 [] empty($c2).
% 3.76/3.91 ** KEPT (pick-wt=2): 555 [] relation($c2).
% 3.76/3.91 ** KEPT (pick-wt=7): 556 [] empty(A)|element($f63(A),powerset(A)).
% 3.76/3.91 ** KEPT (pick-wt=2): 557 [] empty($c3).
% 3.76/3.91 ** KEPT (pick-wt=2): 558 [] relation($c4).
% 3.76/3.91 ** KEPT (pick-wt=2): 559 [] empty($c4).
% 3.76/3.91 ** KEPT (pick-wt=2): 560 [] function($c4).
% 3.76/3.91 ** KEPT (pick-wt=2): 561 [] relation($c5).
% 3.76/3.91 ** KEPT (pick-wt=5): 562 [] element($f64(A),powerset(A)).
% 3.76/3.91 ** KEPT (pick-wt=3): 563 [] empty($f64(A)).
% 3.76/3.91 ** KEPT (pick-wt=2): 564 [] relation($c7).
% 3.76/3.91 ** KEPT (pick-wt=2): 565 [] function($c7).
% 3.76/3.91 ** KEPT (pick-wt=2): 566 [] one_to_one($c7).
% 3.76/3.91 ** KEPT (pick-wt=2): 567 [] relation($c8).
% 3.76/3.91 ** KEPT (pick-wt=2): 568 [] relation_empty_yielding($c8).
% 3.76/3.91 ** KEPT (pick-wt=3): 569 [] subset(A,A).
% 3.76/3.91 ** KEPT (pick-wt=4): 570 [] in(A,$f65(A)).
% 3.76/3.91 ** KEPT (pick-wt=2): 571 [] relation($c9).
% 3.76/3.91 ** KEPT (pick-wt=2): 572 [] function($c9).
% 3.76/3.91 ** KEPT (pick-wt=4): 573 [] subset($c10,relation_rng($c9)).
% 3.76/3.91 ** KEPT (pick-wt=5): 574 [] subset(set_intersection2(A,B),A).
% 3.76/3.91 ** KEPT (pick-wt=5): 575 [] set_union2(A,empty_set)=A.
% 3.76/3.91 ---> New Demodulator: 576 [new_demod,575] set_union2(A,empty_set)=A.
% 3.76/3.92 ** KEPT (pick-wt=5): 578 [copy,577,flip.1] singleton(empty_set)=powerset(empty_set).
% 3.76/3.92 ---> New Demodulator: 579 [new_demod,578] singleton(empty_set)=powerset(empty_set).
% 3.76/3.92 ** KEPT (pick-wt=5): 580 [] set_intersection2(A,empty_set)=empty_set.
% 3.76/3.92 ---> New Demodulator: 581 [new_demod,580] set_intersection2(A,empty_set)=empty_set.
% 3.76/3.92 ** KEPT (pick-wt=13): 582 [] in($f68(A,B),A)|in($f68(A,B),B)|A=B.
% 3.76/3.92 ** KEPT (pick-wt=3): 583 [] subset(empty_set,A).
% 3.76/3.92 ** KEPT (pick-wt=5): 584 [] subset(set_difference(A,B),A).
% 3.76/3.92 ** KEPT (pick-wt=9): 585 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.76/3.92 ---> New Demodulator: 586 [new_demod,585] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.76/3.92 ** KEPT (pick-wt=5): 587 [] set_difference(A,empty_set)=A.
% 3.76/3.92 ---> New Demodulator: 588 [new_demod,587] set_difference(A,empty_set)=A.
% 3.76/3.92 ** KEPT (pick-wt=8): 589 [] disjoint(A,B)|in($f70(A,B),A).
% 3.76/3.92 ** KEPT (pick-wt=8): 590 [] disjoint(A,B)|in($f70(A,B),B).
% 3.76/3.92 ** KEPT (pick-wt=9): 591 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.76/3.92 ---> New Demodulator: 592 [new_demod,591] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.76/3.92 ** KEPT (pick-wt=9): 594 [copy,593,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.76/3.92 ---> New Demodulator: 595 [new_demod,594] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.76/3.92 ** KEPT (pick-wt=5): 596 [] set_difference(empty_set,A)=empty_set.
% 3.76/3.92 ---> New Demodulator: 597 [new_demod,596] set_difference(empty_set,A)=empty_set.
% 3.76/3.92 ** KEPT (pick-wt=12): 599 [copy,598,demod,595] disjoint(A,B)|in($f71(A,B),set_difference(A,set_difference(A,B))).
% 3.76/3.92 ** KEPT (pick-wt=4): 600 [] relation_dom(empty_set)=empty_set.
% 3.76/3.92 ---> New Demodulator: 601 [new_demod,600] relation_dom(empty_set)=empty_set.
% 3.76/3.92 ** KEPT (pick-wt=4): 602 [] relation_rng(empty_set)=empty_set.
% 3.76/3.92 ---> New Demodulator: 603 [new_demod,602] relation_rng(empty_set)=empty_set.
% 3.76/3.92 ** KEPT (pick-wt=9): 604 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.76/3.92 ** KEPT (pick-wt=6): 606 [copy,605,flip.1] singleton(A)=unordered_pair(A,A).
% 3.76/3.92 ---> New Demodulator: 607 [new_demod,606] singleton(A)=unordered_pair(A,A).
% 3.76/3.92 ** KEPT (pick-wt=5): 608 [] relation_dom(identity_relation(A))=A.
% 3.76/3.92 ---> New Demodulator: 609 [new_demod,608] relation_dom(identity_relation(A))=A.
% 3.76/3.92 ** KEPT (pick-wt=5): 610 [] relation_rng(identity_relation(A))=A.
% 3.76/3.92 ---> New Demodulator: 611 [new_demod,610] relation_rng(identity_relation(A))=A.
% 3.76/3.92 ** KEPT (pick-wt=5): 612 [] subset(A,set_union2(A,B)).
% 3.76/3.92 ** KEPT (pick-wt=5): 613 [] union(powerset(A))=A.
% 3.76/3.92 ---> New Demodulator: 614 [new_demod,613] union(powerset(A))=A.
% 3.76/3.92 ** KEPT (pick-wt=4): 615 [] in(A,$f78(A)).
% 3.76/3.92 Following clause subsumed by 513 during input processing: 0 [copy,513,flip.1] A=A.
% 3.76/3.92 513 back subsumes 500.
% 3.76/3.92 513 back subsumes 496.
% 3.76/3.92 513 back subsumes 476.
% 3.76/3.92 513 back subsumes 427.
% 3.76/3.92 513 back subsumes 403.
% 3.76/3.92 513 back subsumes 402.
% 3.76/3.92 513 back subsumes 382.
% 3.76/3.92 Following clause subsumed by 514 during input processing: 0 [copy,514,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 3.76/3.92 Following clause subsumed by 515 during input processing: 0 [copy,515,flip.1] set_union2(A,B)=set_union2(B,A).
% 3.76/3.92 ** KEPT (pick-wt=11): 616 [copy,516,flip.1,demod,595,595] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 3.76/3.92 >>>> Starting back demodulation with 531.
% 3.76/3.92 >> back demodulating 314 with 531.
% 3.76/3.92 >> back demodulating 313 with 531.
% 3.76/3.92 >>>> Starting back demodulation with 537.
% 3.76/3.92 >>>> Starting back demodulation with 547.
% 3.76/3.92 >> back demodulating 501 with 547.
% 3.76/3.92 >> back demodulating 458 with 547.
% 3.76/3.92 >> back demodulating 406 with 547.
% 3.76/3.92 >>>> Starting back demodulation with 549.
% 3.76/3.92 >> back demodulating 504 with 549.
% 3.76/3.92 >> back demodulating 468 with 549.
% 3.76/3.92 >> back demodulating 457 with 549.
% 3.76/3.92 >> back demodulating 418 with 549.
% 3.76/3.92 >> back demodulating 415 with 549.
% 3.76/3.92 569 back subsumes 475.
% 3.76/3.92 569 back subsumes 474.
% 3.76/3.92 569 back subsumes 414.
% 3.76/3.92 569 back subsumes 413.
% 3.76/3.92 >>>> Starting back demodulation with 576.
% 3.76/3.92 >>>> Starting back demodulation with 579.
% 3.76/3.92 >>>> Starting back demodulation with 581.
% 3.76/3.92 >>>> Starting back demodulation with 586.
% 3.76/3.92 >> back demodulating 309 with 586.
% 3.76/3.92 >>>> Starting back demodulation with 588.
% 23.70/23.87 >>>> Starting back demodulation with 592.
% 23.70/23.87 >>>> Starting back demodulation with 595.
% 23.70/23.87 >> back demodulating 580 with 595.
% 23.70/23.87 >> back demodulating 574 with 595.
% 23.70/23.87 >> back demodulating 548 with 595.
% 23.70/23.87 >> back demodulating 529 with 595.
% 23.70/23.87 >> back demodulating 528 with 595.
% 23.70/23.87 >> back demodulating 516 with 595.
% 23.70/23.87 >> back demodulating 498 with 595.
% 23.70/23.87 >> back demodulating 497 with 595.
% 23.70/23.87 >> back demodulating 495 with 595.
% 23.70/23.87 >> back demodulating 417 with 595.
% 23.70/23.87 >> back demodulating 416 with 595.
% 23.70/23.87 >> back demodulating 372 with 595.
% 23.70/23.87 >> back demodulating 353 with 595.
% 23.70/23.87 >> back demodulating 352 with 595.
% 23.70/23.87 >> back demodulating 350 with 595.
% 23.70/23.87 >> back demodulating 316 with 595.
% 23.70/23.87 >> back demodulating 282 with 595.
% 23.70/23.87 >> back demodulating 281 with 595.
% 23.70/23.87 >> back demodulating 268 with 595.
% 23.70/23.87 >> back demodulating 255 with 595.
% 23.70/23.87 >> back demodulating 240 with 595.
% 23.70/23.87 >> back demodulating 182 with 595.
% 23.70/23.87 >> back demodulating 143 with 595.
% 23.70/23.87 >> back demodulating 142 with 595.
% 23.70/23.87 >> back demodulating 105 with 595.
% 23.70/23.87 >> back demodulating 104 with 595.
% 23.70/23.87 >> back demodulating 103 with 595.
% 23.70/23.87 >> back demodulating 102 with 595.
% 23.70/23.87 >>>> Starting back demodulation with 597.
% 23.70/23.87 >>>> Starting back demodulation with 601.
% 23.70/23.87 >>>> Starting back demodulation with 603.
% 23.70/23.87 >>>> Starting back demodulation with 607.
% 23.70/23.87 >> back demodulating 604 with 607.
% 23.70/23.87 >> back demodulating 578 with 607.
% 23.70/23.87 >> back demodulating 550 with 607.
% 23.70/23.87 >> back demodulating 536 with 607.
% 23.70/23.87 >> back demodulating 518 with 607.
% 23.70/23.87 >> back demodulating 379 with 607.
% 23.70/23.87 >> back demodulating 371 with 607.
% 23.70/23.87 >> back demodulating 355 with 607.
% 23.70/23.87 >> back demodulating 349 with 607.
% 23.70/23.87 >> back demodulating 215 with 607.
% 23.70/23.87 >> back demodulating 214 with 607.
% 23.70/23.87 >> back demodulating 213 with 607.
% 23.70/23.87 >> back demodulating 209 with 607.
% 23.70/23.87 >> back demodulating 208 with 607.
% 23.70/23.87 >> back demodulating 207 with 607.
% 23.70/23.87 >> back demodulating 206 with 607.
% 23.70/23.87 >> back demodulating 205 with 607.
% 23.70/23.87 >> back demodulating 186 with 607.
% 23.70/23.87 >> back demodulating 68 with 607.
% 23.70/23.87 >> back demodulating 67 with 607.
% 23.70/23.87 >> back demodulating 66 with 607.
% 23.70/23.87 >>>> Starting back demodulation with 609.
% 23.70/23.87 >>>> Starting back demodulation with 611.
% 23.70/23.87 >>>> Starting back demodulation with 614.
% 23.70/23.87 Following clause subsumed by 616 during input processing: 0 [copy,616,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 23.70/23.87 626 back subsumes 73.
% 23.70/23.87 628 back subsumes 74.
% 23.70/23.87 >>>> Starting back demodulation with 630.
% 23.70/23.87 >> back demodulating 461 with 630.
% 23.70/23.87 >>>> Starting back demodulation with 655.
% 23.70/23.87 >>>> Starting back demodulation with 658.
% 23.70/23.87
% 23.70/23.87 ======= end of input processing =======
% 23.70/23.87
% 23.70/23.87 =========== start of search ===========
% 23.70/23.87
% 23.70/23.87
% 23.70/23.87 Resetting weight limit to 2.
% 23.70/23.87
% 23.70/23.87
% 23.70/23.87 Resetting weight limit to 2.
% 23.70/23.87
% 23.70/23.87 sos_size=119
% 23.70/23.87
% 23.70/23.87 Search stopped because sos empty.
% 23.70/23.87
% 23.70/23.87
% 23.70/23.87 Search stopped because sos empty.
% 23.70/23.87
% 23.70/23.87 ============ end of search ============
% 23.70/23.87
% 23.70/23.87 -------------- statistics -------------
% 23.70/23.87 clauses given 128
% 23.70/23.87 clauses generated 1029713
% 23.70/23.87 clauses kept 631
% 23.70/23.87 clauses forward subsumed 222
% 23.70/23.87 clauses back subsumed 21
% 23.70/23.87 Kbytes malloced 8789
% 23.70/23.87
% 23.70/23.87 ----------- times (seconds) -----------
% 23.70/23.87 user CPU time 20.06 (0 hr, 0 min, 20 sec)
% 23.70/23.87 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 23.70/23.87 wall-clock time 23 (0 hr, 0 min, 23 sec)
% 23.70/23.87
% 23.70/23.87 Process 28477 finished Wed Jul 27 07:59:47 2022
% 23.70/23.87 Otter interrupted
% 23.70/23.87 PROOF NOT FOUND
%------------------------------------------------------------------------------