TSTP Solution File: SEU230+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU230+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:16 EDT 2022
% Result : Unknown 28.16s 28.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU230+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 08:11:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.72/3.90 ----- Otter 3.3f, August 2004 -----
% 3.72/3.90 The process was started by sandbox on n025.cluster.edu,
% 3.72/3.90 Wed Jul 27 08:11:45 2022
% 3.72/3.90 The command was "./otter". The process ID is 7170.
% 3.72/3.90
% 3.72/3.90 set(prolog_style_variables).
% 3.72/3.90 set(auto).
% 3.72/3.90 dependent: set(auto1).
% 3.72/3.90 dependent: set(process_input).
% 3.72/3.90 dependent: clear(print_kept).
% 3.72/3.90 dependent: clear(print_new_demod).
% 3.72/3.90 dependent: clear(print_back_demod).
% 3.72/3.90 dependent: clear(print_back_sub).
% 3.72/3.90 dependent: set(control_memory).
% 3.72/3.90 dependent: assign(max_mem, 12000).
% 3.72/3.90 dependent: assign(pick_given_ratio, 4).
% 3.72/3.90 dependent: assign(stats_level, 1).
% 3.72/3.90 dependent: assign(max_seconds, 10800).
% 3.72/3.90 clear(print_given).
% 3.72/3.90
% 3.72/3.90 formula_list(usable).
% 3.72/3.90 all A (A=A).
% 3.72/3.90 all A B (in(A,B)-> -in(B,A)).
% 3.72/3.90 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 3.72/3.90 all A (empty(A)->function(A)).
% 3.72/3.90 all A (empty(A)->relation(A)).
% 3.72/3.90 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 3.72/3.90 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 3.72/3.90 all A B (set_union2(A,B)=set_union2(B,A)).
% 3.72/3.90 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 3.72/3.90 all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 3.72/3.90 all A B (A=B<->subset(A,B)&subset(B,A)).
% 3.72/3.90 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))))))).
% 3.72/3.90 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)))))))).
% 3.72/3.90 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))))))).
% 3.72/3.90 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)))))).
% 3.72/3.90 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)))))))).
% 3.72/3.90 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)))))))).
% 3.72/3.90 all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 3.72/3.90 all A (succ(A)=set_union2(A,singleton(A))).
% 3.72/3.90 all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 3.72/3.90 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))).
% 3.72/3.90 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 3.72/3.90 all A (A=empty_set<-> (all B (-in(B,A)))).
% 3.72/3.90 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 3.72/3.90 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))))))).
% 3.72/3.90 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 3.72/3.90 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 3.72/3.90 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 3.72/3.90 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)))))).
% 3.72/3.90 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))))))).
% 3.72/3.90 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 3.72/3.90 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 3.72/3.90 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))))).
% 3.72/3.90 all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 3.72/3.90 all A (cast_to_subset(A)=A).
% 3.72/3.90 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 3.72/3.90 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 3.72/3.90 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)))))))).
% 3.72/3.90 all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 3.72/3.90 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 3.72/3.90 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 3.72/3.90 all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 3.72/3.90 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))))))).
% 3.72/3.90 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 3.72/3.90 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)))).
% 3.72/3.90 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))))))))))).
% 3.72/3.90 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)))))))).
% 3.72/3.90 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 3.72/3.90 all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 3.72/3.90 $T.
% 3.72/3.90 all A element(cast_to_subset(A),powerset(A)).
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 all A (relation(A)->relation(relation_inverse(A))).
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 3.72/3.90 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 3.72/3.90 all A relation(identity_relation(A)).
% 3.72/3.90 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 3.72/3.90 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 3.72/3.90 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 3.72/3.90 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 3.72/3.90 all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 3.72/3.90 $T.
% 3.72/3.90 $T.
% 3.72/3.90 all A exists B element(B,A).
% 3.72/3.90 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 3.72/3.90 all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 3.72/3.90 empty(empty_set).
% 3.72/3.90 relation(empty_set).
% 3.72/3.90 relation_empty_yielding(empty_set).
% 3.72/3.90 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 3.72/3.90 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 3.72/3.90 all A (-empty(succ(A))).
% 3.72/3.90 all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 3.72/3.90 all A (-empty(powerset(A))).
% 3.72/3.90 empty(empty_set).
% 3.72/3.90 all A B (-empty(ordered_pair(A,B))).
% 3.72/3.90 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 3.72/3.90 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 3.72/3.90 all A (-empty(singleton(A))).
% 3.72/3.90 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 3.72/3.90 all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 3.72/3.90 all A B (-empty(unordered_pair(A,B))).
% 3.72/3.90 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 3.72/3.90 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 3.72/3.90 empty(empty_set).
% 3.72/3.90 relation(empty_set).
% 3.72/3.90 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.72/3.90 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 3.72/3.90 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 3.72/3.90 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 3.72/3.90 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 3.72/3.90 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 3.72/3.90 all A B (set_union2(A,A)=A).
% 3.72/3.90 all A B (set_intersection2(A,A)=A).
% 3.72/3.90 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 3.72/3.90 all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 3.72/3.90 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 3.72/3.90 all A B (-proper_subset(A,A)).
% 3.72/3.90 all A (singleton(A)!=empty_set).
% 3.72/3.90 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.72/3.90 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 3.72/3.90 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 3.72/3.90 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.72/3.90 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.72/3.90 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 3.72/3.90 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 3.72/3.90 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.72/3.90 all A B (in(A,B)->subset(A,union(B))).
% 3.72/3.90 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.72/3.90 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 3.72/3.90 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))).
% 3.72/3.90 exists A (relation(A)&function(A)).
% 3.72/3.90 exists A (empty(A)&relation(A)).
% 3.72/3.90 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.72/3.90 exists A empty(A).
% 3.72/3.90 exists A (relation(A)&empty(A)&function(A)).
% 3.72/3.90 exists A (-empty(A)&relation(A)).
% 3.72/3.90 all A exists B (element(B,powerset(A))&empty(B)).
% 3.72/3.90 exists A (-empty(A)).
% 3.72/3.90 exists A (relation(A)&function(A)&one_to_one(A)).
% 3.72/3.90 exists A (relation(A)&relation_empty_yielding(A)).
% 3.72/3.90 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 3.72/3.90 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 3.72/3.90 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 3.72/3.90 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 3.72/3.90 all A B subset(A,A).
% 3.72/3.90 all A B (disjoint(A,B)->disjoint(B,A)).
% 3.72/3.90 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 3.72/3.90 -(all A in(A,succ(A))).
% 3.72/3.90 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 3.72/3.90 all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 3.72/3.90 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 3.72/3.90 all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 3.72/3.90 all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 3.72/3.90 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))).
% 3.72/3.90 all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 3.72/3.90 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 3.72/3.90 all A B (subset(A,B)->set_union2(A,B)=B).
% 3.72/3.90 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))))).
% 3.72/3.90 all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 3.72/3.90 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))))).
% 3.72/3.90 all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 3.72/3.90 all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 3.72/3.90 all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 3.72/3.90 all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 3.72/3.90 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 3.72/3.90 all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 3.72/3.90 all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 3.72/3.90 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))))).
% 3.72/3.90 all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 3.72/3.90 all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 3.72/3.90 all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 3.72/3.90 all A B subset(set_intersection2(A,B),A).
% 3.72/3.90 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 3.72/3.90 all A (set_union2(A,empty_set)=A).
% 3.72/3.90 all A B (in(A,B)->element(A,B)).
% 3.72/3.91 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 3.72/3.91 powerset(empty_set)=singleton(empty_set).
% 3.72/3.91 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 3.72/3.91 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)))))).
% 3.72/3.91 all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 3.72/3.91 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)))))).
% 3.72/3.91 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)))))).
% 3.72/3.91 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)))))).
% 3.72/3.91 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 3.72/3.91 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 3.72/3.91 all A (set_intersection2(A,empty_set)=empty_set).
% 3.72/3.91 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.72/3.91 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.72/3.91 all A subset(empty_set,A).
% 3.72/3.91 all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 3.72/3.91 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 3.72/3.91 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 3.72/3.91 all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 3.72/3.91 all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 3.72/3.91 all A B subset(set_difference(A,B),A).
% 3.72/3.91 all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 3.72/3.91 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 3.72/3.91 all A B (subset(singleton(A),B)<->in(A,B)).
% 3.72/3.91 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 3.72/3.91 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 3.72/3.91 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 3.72/3.91 all A (set_difference(A,empty_set)=A).
% 3.72/3.91 all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 3.72/3.91 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.72/3.91 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))).
% 3.72/3.91 all A (subset(A,empty_set)->A=empty_set).
% 3.72/3.91 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 3.72/3.91 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 3.72/3.91 all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 3.72/3.91 all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 3.72/3.91 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 3.72/3.91 all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 3.72/3.91 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 3.72/3.91 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 3.72/3.91 all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 3.72/3.91 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)))).
% 3.72/3.91 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)))).
% 3.72/3.91 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 3.72/3.91 all A (set_difference(empty_set,A)=empty_set).
% 3.72/3.91 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.72/3.91 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))).
% 3.72/3.91 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)))))))).
% 3.72/3.91 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))))))))).
% 3.72/3.91 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 3.72/3.91 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)))).
% 3.72/3.91 all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 3.72/3.91 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))).
% 3.72/3.91 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.72/3.91 relation_dom(empty_set)=empty_set.
% 3.72/3.91 relation_rng(empty_set)=empty_set.
% 3.72/3.91 all A B (-(subset(A,B)&proper_subset(B,A))).
% 3.72/3.91 all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 3.72/3.91 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 3.72/3.91 all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 3.72/3.91 all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 3.72/3.91 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 3.72/3.91 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))))))).
% 3.72/3.91 all A (unordered_pair(A,A)=singleton(A)).
% 3.72/3.91 all A (empty(A)->A=empty_set).
% 3.72/3.91 all A B (subset(singleton(A),singleton(B))->A=B).
% 3.72/3.91 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))).
% 3.72/3.91 all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 3.72/3.91 all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 3.72/3.91 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))).
% 3.72/3.91 all A B (-(in(A,B)&empty(B))).
% 3.72/3.91 all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 3.72/3.91 all A B subset(A,set_union2(A,B)).
% 3.72/3.91 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 3.72/3.91 all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 3.72/3.91 all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 3.72/3.91 all A B (-(empty(A)&A!=B&empty(B))).
% 3.72/3.91 all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 3.72/3.91 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 3.72/3.91 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 3.72/3.91 all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 3.72/3.91 all A B (in(A,B)->subset(A,union(B))).
% 3.72/3.91 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 3.72/3.91 all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 3.72/3.91 all A (union(powerset(A))=A).
% 3.72/3.91 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))))).
% 3.72/3.91 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 3.72/3.91 end_of_list.
% 3.72/3.91
% 3.72/3.91 -------> usable clausifies to:
% 3.72/3.91
% 3.72/3.91 list(usable).
% 3.72/3.91 0 [] A=A.
% 3.72/3.91 0 [] -in(A,B)| -in(B,A).
% 3.72/3.91 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.72/3.91 0 [] -empty(A)|function(A).
% 3.72/3.91 0 [] -empty(A)|relation(A).
% 3.72/3.91 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.72/3.91 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.72/3.91 0 [] set_union2(A,B)=set_union2(B,A).
% 3.72/3.91 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.72/3.91 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 3.72/3.91 0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 3.72/3.91 0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 3.72/3.91 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 3.72/3.91 0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 3.72/3.91 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)!=$f1(A,B).
% 3.72/3.91 0 [] A!=B|subset(A,B).
% 3.72/3.91 0 [] A!=B|subset(B,A).
% 3.72/3.91 0 [] A=B| -subset(A,B)| -subset(B,A).
% 3.72/3.91 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 3.72/3.91 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 3.72/3.91 0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 3.72/3.91 0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 3.72/3.91 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).
% 3.72/3.91 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),$f3(A,B,C)),A).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 3.72/3.91 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).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 3.72/3.91 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 3.72/3.91 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 3.72/3.91 0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 3.72/3.91 0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 3.72/3.91 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).
% 3.72/3.91 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),$f8(A,B,C)),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 3.72/3.91 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 3.72/3.91 0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 3.72/3.91 0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 3.72/3.91 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 3.72/3.91 0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 3.72/3.91 0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 3.72/3.91 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 3.72/3.91 0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 3.72/3.91 0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 3.72/3.91 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 3.72/3.91 0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 3.72/3.91 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).
% 3.72/3.91 0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 3.72/3.91 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 3.72/3.91 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 3.72/3.91 0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 3.72/3.91 0 [] D=unordered_triple(A,B,C)|in($f17(A,B,C,D),D)|$f17(A,B,C,D)=A|$f17(A,B,C,D)=B|$f17(A,B,C,D)=C.
% 3.72/3.91 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 3.72/3.91 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 3.72/3.91 0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 3.72/3.91 0 [] succ(A)=set_union2(A,singleton(A)).
% 3.72/3.91 0 [] -relation(A)| -in(B,A)|B=ordered_pair($f19(A,B),$f18(A,B)).
% 3.72/3.91 0 [] relation(A)|in($f20(A),A).
% 3.72/3.91 0 [] relation(A)|$f20(A)!=ordered_pair(C,D).
% 3.72/3.91 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.72/3.91 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f21(A,B,C),A).
% 3.72/3.91 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f21(A,B,C)).
% 3.72/3.91 0 [] A=empty_set|B=set_meet(A)|in($f23(A,B),B)| -in(X4,A)|in($f23(A,B),X4).
% 3.72/3.91 0 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)|in($f22(A,B),A).
% 3.72/3.91 0 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)| -in($f23(A,B),$f22(A,B)).
% 3.72/3.91 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.72/3.91 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.72/3.91 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 3.72/3.91 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 3.72/3.91 0 [] B=singleton(A)|in($f24(A,B),B)|$f24(A,B)=A.
% 3.72/3.91 0 [] B=singleton(A)| -in($f24(A,B),B)|$f24(A,B)!=A.
% 3.72/3.91 0 [] A!=empty_set| -in(B,A).
% 3.72/3.91 0 [] A=empty_set|in($f25(A),A).
% 3.72/3.91 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 3.72/3.91 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 3.72/3.91 0 [] B=powerset(A)|in($f26(A,B),B)|subset($f26(A,B),A).
% 3.72/3.91 0 [] B=powerset(A)| -in($f26(A,B),B)| -subset($f26(A,B),A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f28(A,B),$f27(A,B)),A)|in(ordered_pair($f28(A,B),$f27(A,B)),B).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f28(A,B),$f27(A,B)),A)| -in(ordered_pair($f28(A,B),$f27(A,B)),B).
% 3.72/3.91 0 [] empty(A)| -element(B,A)|in(B,A).
% 3.72/3.91 0 [] empty(A)|element(B,A)| -in(B,A).
% 3.72/3.91 0 [] -empty(A)| -element(B,A)|empty(B).
% 3.72/3.91 0 [] -empty(A)|element(B,A)| -empty(B).
% 3.72/3.91 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 3.72/3.91 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 3.72/3.91 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 3.72/3.91 0 [] C=unordered_pair(A,B)|in($f29(A,B,C),C)|$f29(A,B,C)=A|$f29(A,B,C)=B.
% 3.72/3.91 0 [] C=unordered_pair(A,B)| -in($f29(A,B,C),C)|$f29(A,B,C)!=A.
% 3.72/3.91 0 [] C=unordered_pair(A,B)| -in($f29(A,B,C),C)|$f29(A,B,C)!=B.
% 3.72/3.91 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 3.72/3.91 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 3.72/3.91 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 3.72/3.91 0 [] C=set_union2(A,B)|in($f30(A,B,C),C)|in($f30(A,B,C),A)|in($f30(A,B,C),B).
% 3.72/3.91 0 [] C=set_union2(A,B)| -in($f30(A,B,C),C)| -in($f30(A,B,C),A).
% 3.72/3.91 0 [] C=set_union2(A,B)| -in($f30(A,B,C),C)| -in($f30(A,B,C),B).
% 3.72/3.91 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f32(A,B,C,D),A).
% 3.72/3.91 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f31(A,B,C,D),B).
% 3.72/3.91 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f32(A,B,C,D),$f31(A,B,C,D)).
% 3.72/3.91 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 3.72/3.91 0 [] C=cartesian_product2(A,B)|in($f35(A,B,C),C)|in($f34(A,B,C),A).
% 3.72/3.91 0 [] C=cartesian_product2(A,B)|in($f35(A,B,C),C)|in($f33(A,B,C),B).
% 3.72/3.91 0 [] C=cartesian_product2(A,B)|in($f35(A,B,C),C)|$f35(A,B,C)=ordered_pair($f34(A,B,C),$f33(A,B,C)).
% 3.72/3.91 0 [] C=cartesian_product2(A,B)| -in($f35(A,B,C),C)| -in(X5,A)| -in(X6,B)|$f35(A,B,C)!=ordered_pair(X5,X6).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f37(A,B),$f36(A,B)),A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f37(A,B),$f36(A,B)),B).
% 3.72/3.91 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.72/3.91 0 [] subset(A,B)|in($f38(A,B),A).
% 3.72/3.91 0 [] subset(A,B)| -in($f38(A,B),B).
% 3.72/3.91 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 3.72/3.91 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 3.72/3.91 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 3.72/3.91 0 [] C=set_intersection2(A,B)|in($f39(A,B,C),C)|in($f39(A,B,C),A).
% 3.72/3.91 0 [] C=set_intersection2(A,B)|in($f39(A,B,C),C)|in($f39(A,B,C),B).
% 3.72/3.91 0 [] C=set_intersection2(A,B)| -in($f39(A,B,C),C)| -in($f39(A,B,C),A)| -in($f39(A,B,C),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.72/3.91 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.72/3.91 0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.72/3.91 0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f40(A,B,C)),A).
% 3.72/3.91 0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.72/3.91 0 [] -relation(A)|B=relation_dom(A)|in($f42(A,B),B)|in(ordered_pair($f42(A,B),$f41(A,B)),A).
% 3.72/3.91 0 [] -relation(A)|B=relation_dom(A)| -in($f42(A,B),B)| -in(ordered_pair($f42(A,B),X7),A).
% 3.72/3.91 0 [] cast_to_subset(A)=A.
% 3.72/3.91 0 [] B!=union(A)| -in(C,B)|in(C,$f43(A,B,C)).
% 3.72/3.91 0 [] B!=union(A)| -in(C,B)|in($f43(A,B,C),A).
% 3.72/3.91 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 3.72/3.91 0 [] B=union(A)|in($f45(A,B),B)|in($f45(A,B),$f44(A,B)).
% 3.72/3.91 0 [] B=union(A)|in($f45(A,B),B)|in($f44(A,B),A).
% 3.72/3.91 0 [] B=union(A)| -in($f45(A,B),B)| -in($f45(A,B),X8)| -in(X8,A).
% 3.72/3.91 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 3.72/3.91 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 3.72/3.91 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 3.72/3.91 0 [] C=set_difference(A,B)|in($f46(A,B,C),C)|in($f46(A,B,C),A).
% 3.72/3.91 0 [] C=set_difference(A,B)|in($f46(A,B,C),C)| -in($f46(A,B,C),B).
% 3.72/3.91 0 [] C=set_difference(A,B)| -in($f46(A,B,C),C)| -in($f46(A,B,C),A)|in($f46(A,B,C),B).
% 3.72/3.91 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f47(A,B,C),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f47(A,B,C)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.72/3.91 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f49(A,B),B)|in($f48(A,B),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f49(A,B),B)|$f49(A,B)=apply(A,$f48(A,B)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f49(A,B),B)| -in(X9,relation_dom(A))|$f49(A,B)!=apply(A,X9).
% 3.72/3.91 0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f50(A,B,C),C),A).
% 3.72/3.91 0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.72/3.91 0 [] -relation(A)|B=relation_rng(A)|in($f52(A,B),B)|in(ordered_pair($f51(A,B),$f52(A,B)),A).
% 3.72/3.91 0 [] -relation(A)|B=relation_rng(A)| -in($f52(A,B),B)| -in(ordered_pair(X10,$f52(A,B)),A).
% 3.72/3.91 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 3.72/3.91 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 3.72/3.91 0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f54(A,B),$f53(A,B)),B)|in(ordered_pair($f53(A,B),$f54(A,B)),A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f54(A,B),$f53(A,B)),B)| -in(ordered_pair($f53(A,B),$f54(A,B)),A).
% 3.72/3.91 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.72/3.91 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.72/3.91 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.
% 3.72/3.91 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f56(A),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|one_to_one(A)|in($f55(A),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f56(A))=apply(A,$f55(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|one_to_one(A)|$f56(A)!=$f55(A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f57(A,B,C,D,E)),A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f57(A,B,C,D,E),E),B).
% 3.72/3.91 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).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f60(A,B,C),$f59(A,B,C)),C)|in(ordered_pair($f60(A,B,C),$f58(A,B,C)),A).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f60(A,B,C),$f59(A,B,C)),C)|in(ordered_pair($f58(A,B,C),$f59(A,B,C)),B).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f60(A,B,C),$f59(A,B,C)),C)| -in(ordered_pair($f60(A,B,C),X11),A)| -in(ordered_pair(X11,$f59(A,B,C)),B).
% 3.72/3.91 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).
% 3.72/3.91 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).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f61(A,B,C),powerset(A)).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f61(A,B,C),C)|in(subset_complement(A,$f61(A,B,C)),B).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f61(A,B,C),C)| -in(subset_complement(A,$f61(A,B,C)),B).
% 3.72/3.91 0 [] -proper_subset(A,B)|subset(A,B).
% 3.72/3.91 0 [] -proper_subset(A,B)|A!=B.
% 3.72/3.91 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] element(cast_to_subset(A),powerset(A)).
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] -relation(A)|relation(relation_inverse(A)).
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 3.72/3.91 0 [] relation(identity_relation(A)).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 3.72/3.91 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 3.72/3.91 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 3.72/3.91 0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] $T.
% 3.72/3.91 0 [] element($f62(A),A).
% 3.72/3.91 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.72/3.91 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.72/3.91 0 [] -empty(A)|empty(relation_inverse(A)).
% 3.72/3.91 0 [] -empty(A)|relation(relation_inverse(A)).
% 3.72/3.91 0 [] empty(empty_set).
% 3.72/3.91 0 [] relation(empty_set).
% 3.72/3.91 0 [] relation_empty_yielding(empty_set).
% 3.72/3.91 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.72/3.91 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.72/3.91 0 [] -empty(succ(A)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.72/3.91 0 [] -empty(powerset(A)).
% 3.72/3.91 0 [] empty(empty_set).
% 3.72/3.91 0 [] -empty(ordered_pair(A,B)).
% 3.72/3.91 0 [] relation(identity_relation(A)).
% 3.72/3.91 0 [] function(identity_relation(A)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.72/3.91 0 [] -empty(singleton(A)).
% 3.72/3.91 0 [] empty(A)| -empty(set_union2(A,B)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.72/3.91 0 [] -empty(unordered_pair(A,B)).
% 3.72/3.91 0 [] empty(A)| -empty(set_union2(B,A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.72/3.91 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.72/3.91 0 [] empty(empty_set).
% 3.72/3.91 0 [] relation(empty_set).
% 3.72/3.91 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.72/3.91 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.72/3.91 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.72/3.91 0 [] -empty(A)|empty(relation_dom(A)).
% 3.72/3.91 0 [] -empty(A)|relation(relation_dom(A)).
% 3.72/3.91 0 [] -empty(A)|empty(relation_rng(A)).
% 3.72/3.91 0 [] -empty(A)|relation(relation_rng(A)).
% 3.72/3.91 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.72/3.91 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.72/3.91 0 [] set_union2(A,A)=A.
% 3.72/3.91 0 [] set_intersection2(A,A)=A.
% 3.72/3.91 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 3.72/3.91 0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 3.72/3.91 0 [] -proper_subset(A,A).
% 3.72/3.91 0 [] singleton(A)!=empty_set.
% 3.72/3.91 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.72/3.91 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.72/3.91 0 [] in(A,B)|disjoint(singleton(A),B).
% 3.72/3.91 0 [] -subset(singleton(A),B)|in(A,B).
% 3.72/3.91 0 [] subset(singleton(A),B)| -in(A,B).
% 3.72/3.91 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.72/3.91 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.72/3.91 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 3.72/3.91 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.72/3.91 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.72/3.91 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.72/3.91 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.72/3.91 0 [] -in(A,B)|subset(A,union(B)).
% 3.72/3.91 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.72/3.91 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.72/3.91 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.72/3.91 0 [] in($f63(A,B),A)|element(A,powerset(B)).
% 3.72/3.91 0 [] -in($f63(A,B),B)|element(A,powerset(B)).
% 3.72/3.91 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 3.72/3.91 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 3.72/3.91 0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 3.72/3.91 0 [] relation($c1).
% 3.72/3.91 0 [] function($c1).
% 3.72/3.91 0 [] empty($c2).
% 3.72/3.91 0 [] relation($c2).
% 3.72/3.91 0 [] empty(A)|element($f64(A),powerset(A)).
% 3.72/3.91 0 [] empty(A)| -empty($f64(A)).
% 3.72/3.91 0 [] empty($c3).
% 3.72/3.91 0 [] relation($c4).
% 3.72/3.91 0 [] empty($c4).
% 3.72/3.91 0 [] function($c4).
% 3.72/3.91 0 [] -empty($c5).
% 3.72/3.91 0 [] relation($c5).
% 3.72/3.91 0 [] element($f65(A),powerset(A)).
% 3.72/3.91 0 [] empty($f65(A)).
% 3.72/3.91 0 [] -empty($c6).
% 3.72/3.91 0 [] relation($c7).
% 3.72/3.91 0 [] function($c7).
% 3.72/3.91 0 [] one_to_one($c7).
% 3.72/3.91 0 [] relation($c8).
% 3.72/3.91 0 [] relation_empty_yielding($c8).
% 3.72/3.91 0 [] relation($c9).
% 3.72/3.91 0 [] relation_empty_yielding($c9).
% 3.72/3.91 0 [] function($c9).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 3.72/3.91 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 3.72/3.91 0 [] subset(A,A).
% 3.72/3.91 0 [] -disjoint(A,B)|disjoint(B,A).
% 3.72/3.91 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.72/3.91 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.72/3.91 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.72/3.91 0 [] -in($c10,succ($c10)).
% 3.72/3.91 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 3.72/3.91 0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 3.72/3.91 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 3.72/3.91 0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 3.72/3.91 0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 3.72/3.91 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.72/3.91 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.72/3.91 0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 3.72/3.91 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.72/3.91 0 [] -subset(A,B)|set_union2(A,B)=B.
% 3.72/3.91 0 [] in(A,$f66(A)).
% 3.72/3.91 0 [] -in(C,$f66(A))| -subset(D,C)|in(D,$f66(A)).
% 3.72/3.91 0 [] -in(X12,$f66(A))|in(powerset(X12),$f66(A)).
% 3.72/3.91 0 [] -subset(X13,$f66(A))|are_e_quipotent(X13,$f66(A))|in(X13,$f66(A)).
% 3.72/3.91 0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f67(A,B,C),relation_dom(C)).
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f67(A,B,C),A),C).
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_image(C,B))|in($f67(A,B,C),B).
% 3.72/3.91 0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 3.72/3.91 0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 3.72/3.91 0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 3.72/3.91 0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 3.72/3.91 0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 3.72/3.91 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 3.72/3.91 0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 3.72/3.91 0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f68(A,B,C),relation_rng(C)).
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f68(A,B,C)),C).
% 3.72/3.91 0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f68(A,B,C),B).
% 3.72/3.91 0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 3.72/3.91 0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 3.72/3.91 0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 3.72/3.91 0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 3.72/3.91 0 [] subset(set_intersection2(A,B),A).
% 3.72/3.91 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.72/3.91 0 [] set_union2(A,empty_set)=A.
% 3.72/3.91 0 [] -in(A,B)|element(A,B).
% 3.72/3.91 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.72/3.91 0 [] powerset(empty_set)=singleton(empty_set).
% 3.72/3.91 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.72/3.91 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 3.72/3.91 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 3.72/3.91 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 3.72/3.91 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)).
% 3.72/3.91 0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.72/3.91 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)).
% 3.72/3.91 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)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.72/3.91 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.72/3.91 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.72/3.91 0 [] set_intersection2(A,empty_set)=empty_set.
% 3.72/3.91 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.72/3.91 0 [] in($f69(A,B),A)|in($f69(A,B),B)|A=B.
% 3.72/3.91 0 [] -in($f69(A,B),A)| -in($f69(A,B),B)|A=B.
% 3.72/3.91 0 [] subset(empty_set,A).
% 3.72/3.91 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 3.72/3.91 0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 3.72/3.91 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.72/3.91 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.72/3.91 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.72/3.91 0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 3.72/3.91 0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 3.72/3.91 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f70(A,B),A).
% 3.72/3.91 0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f70(A,B))!=$f70(A,B).
% 3.72/3.91 0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 3.72/3.91 0 [] subset(set_difference(A,B),A).
% 3.72/3.91 0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.72/3.91 0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 3.72/3.91 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.72/3.91 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.72/3.91 0 [] -subset(singleton(A),B)|in(A,B).
% 3.72/3.91 0 [] subset(singleton(A),B)| -in(A,B).
% 3.72/3.91 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.72/3.91 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.72/3.91 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.72/3.91 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.72/3.91 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.72/3.91 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.72/3.91 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.72/3.91 0 [] set_difference(A,empty_set)=A.
% 3.72/3.91 0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.72/3.91 0 [] -element(A,powerset(B))|subset(A,B).
% 3.72/3.91 0 [] element(A,powerset(B))| -subset(A,B).
% 3.72/3.91 0 [] disjoint(A,B)|in($f71(A,B),A).
% 3.72/3.91 0 [] disjoint(A,B)|in($f71(A,B),B).
% 3.72/3.91 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 3.72/3.91 0 [] -subset(A,empty_set)|A=empty_set.
% 3.72/3.91 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.72/3.91 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 3.72/3.91 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.72/3.91 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.72/3.91 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 3.72/3.91 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.72/3.91 0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.72/3.91 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)).
% 3.72/3.91 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)).
% 3.72/3.91 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 3.72/3.91 0 [] set_difference(empty_set,A)=empty_set.
% 3.72/3.91 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.72/3.91 0 [] disjoint(A,B)|in($f72(A,B),set_intersection2(A,B)).
% 3.72/3.91 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 3.72/3.91 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|in(C,relation_rng(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|D=apply(B,C).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f74(A,B),relation_rng(A))|in($f73(A,B),relation_dom(A)).
% 3.72/3.91 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f74(A,B),relation_rng(A))|$f74(A,B)=apply(A,$f73(A,B)).
% 3.72/3.92 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f73(A,B)=apply(B,$f74(A,B))|in($f73(A,B),relation_dom(A)).
% 3.72/3.92 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f73(A,B)=apply(B,$f74(A,B))|$f74(A,B)=apply(A,$f73(A,B)).
% 3.72/3.92 0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f73(A,B),relation_dom(A))|$f74(A,B)!=apply(A,$f73(A,B))| -in($f74(A,B),relation_rng(A))|$f73(A,B)!=apply(B,$f74(A,B)).
% 3.72/3.92 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 3.72/3.92 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.72/3.92 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 3.72/3.92 0 [] -relation(A)|in(ordered_pair($f76(A),$f75(A)),A)|A=empty_set.
% 3.72/3.92 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 3.72/3.92 0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 3.72/3.92 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.72/3.92 0 [] relation_dom(empty_set)=empty_set.
% 3.72/3.92 0 [] relation_rng(empty_set)=empty_set.
% 3.72/3.92 0 [] -subset(A,B)| -proper_subset(B,A).
% 3.72/3.92 0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.72/3.92 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.72/3.92 0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.72/3.92 0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.72/3.92 0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.72/3.92 0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.72/3.92 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.72/3.92 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.72/3.92 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 3.72/3.92 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)| -in(D,relation_dom(B))|apply(B,D)=apply(C,D).
% 3.72/3.92 0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|in($f77(A,B,C),relation_dom(B)).
% 3.72/3.92 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,$f77(A,B,C))!=apply(C,$f77(A,B,C)).
% 3.72/3.92 0 [] unordered_pair(A,A)=singleton(A).
% 3.72/3.92 0 [] -empty(A)|A=empty_set.
% 3.72/3.92 0 [] -subset(singleton(A),singleton(B))|A=B.
% 3.72/3.92 0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.72/3.92 0 [] relation_dom(identity_relation(A))=A.
% 3.72/3.92 0 [] relation_rng(identity_relation(A))=A.
% 3.72/3.92 0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 3.72/3.92 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 3.72/3.92 0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 3.72/3.92 0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 3.72/3.92 0 [] -in(A,B)| -empty(B).
% 3.72/3.92 0 [] -in(A,B)|in($f78(A,B),B).
% 3.72/3.92 0 [] -in(A,B)| -in(D,B)| -in(D,$f78(A,B)).
% 3.72/3.92 0 [] subset(A,set_union2(A,B)).
% 3.72/3.92 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.72/3.92 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.72/3.92 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 3.72/3.92 0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 3.72/3.92 0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 3.72/3.92 0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 3.72/3.92 0 [] -empty(A)|A=B| -empty(B).
% 3.72/3.92 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 3.72/3.92 0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 3.72/3.92 0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 3.72/3.92 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.72/3.92 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.72/3.92 0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 3.72/3.92 0 [] -in(A,B)|subset(A,union(B)).
% 3.72/3.92 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 3.72/3.92 0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 3.72/3.92 0 [] union(powerset(A))=A.
% 3.72/3.92 0 [] in(A,$f80(A)).
% 3.72/3.92 0 [] -in(C,$f80(A))| -subset(D,C)|in(D,$f80(A)).
% 3.72/3.92 0 [] -in(X14,$f80(A))|in($f79(A,X14),$f80(A)).
% 3.72/3.92 0 [] -in(X14,$f80(A))| -subset(E,X14)|in(E,$f79(A,X14)).
% 3.72/3.92 0 [] -subset(X15,$f80(A))|are_e_quipotent(X15,$f80(A))|in(X15,$f80(A)).
% 3.72/3.92 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.72/3.92 end_of_list.
% 3.72/3.92
% 3.72/3.92 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 3.72/3.92
% 3.72/3.92 This ia a non-Horn set with equality. The strategy will be
% 3.72/3.92 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.72/3.92 deletion, with positive clauses in sos and nonpositive
% 3.72/3.92 clauses in usable.
% 3.72/3.92
% 3.72/3.92 dependent: set(knuth_bendix).
% 3.72/3.92 dependent: set(anl_eq).
% 3.72/3.92 dependent: set(para_from).
% 3.72/3.92 dependent: set(para_into).
% 3.72/3.92 dependent: clear(para_from_right).
% 3.72/3.92 dependent: clear(para_into_right).
% 3.72/3.92 dependent: set(para_from_vars).
% 3.72/3.92 dependent: set(eq_units_both_ways).
% 3.72/3.92 dependent: set(dynamic_demod_all).
% 3.72/3.92 dependent: set(dynamic_demod).
% 3.72/3.92 dependent: set(order_eq).
% 3.72/3.92 dependent: set(back_demod).
% 3.72/3.92 dependent: set(lrpo).
% 3.72/3.92 dependent: set(hyper_res).
% 3.72/3.92 dependent: set(unit_deletion).
% 3.72/3.92 dependent: set(factor).
% 3.72/3.92
% 3.72/3.92 ------------> process usable:
% 3.72/3.92 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 3.72/3.92 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 3.72/3.92 ** KEPT (pick-wt=4): 3 [] -empty(A)|function(A).
% 3.72/3.92 ** KEPT (pick-wt=4): 4 [] -empty(A)|relation(A).
% 3.72/3.92 ** KEPT (pick-wt=8): 5 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 3.72/3.92 ** KEPT (pick-wt=14): 6 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 3.72/3.92 ** KEPT (pick-wt=14): 7 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 3.72/3.92 ** KEPT (pick-wt=17): 8 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 3.72/3.92 ** KEPT (pick-wt=20): 9 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 3.72/3.92 ** 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).
% 3.72/3.92 ** 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)!=$f1(B,A).
% 3.72/3.92 ** KEPT (pick-wt=6): 12 [] A!=B|subset(A,B).
% 3.72/3.92 ** KEPT (pick-wt=6): 13 [] A!=B|subset(B,A).
% 3.72/3.92 ** KEPT (pick-wt=9): 14 [] A=B| -subset(A,B)| -subset(B,A).
% 3.72/3.92 ** KEPT (pick-wt=17): 15 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 3.72/3.92 ** KEPT (pick-wt=19): 16 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.72/3.92 ** KEPT (pick-wt=22): 17 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)|in(ordered_pair(D,E),B)| -in(D,C)| -in(ordered_pair(D,E),A).
% 3.72/3.92 ** KEPT (pick-wt=26): 18 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in($f4(A,C,B),C).
% 3.72/3.92 ** 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).
% 3.72/3.92 ** 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),$f3(A,C,B)),A).
% 3.72/3.92 ** KEPT (pick-wt=20): 21 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 3.72/3.92 ** KEPT (pick-wt=19): 22 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 3.72/3.92 ** KEPT (pick-wt=21): 24 [copy,23,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 3.72/3.92 ** 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).
% 3.72/3.92 ** 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)).
% 3.72/3.92 ** 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).
% 3.72/3.92 ** 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))=$f7(A,C,B).
% 3.72/3.92 ** KEPT (pick-wt=30): 30 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f7(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f7(A,C,B)!=apply(A,D).
% 3.72/3.92 ** KEPT (pick-wt=17): 31 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 3.72/3.92 ** KEPT (pick-wt=19): 32 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 3.72/3.92 ** KEPT (pick-wt=22): 33 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)|in(ordered_pair(D,E),B)| -in(E,C)| -in(ordered_pair(D,E),A).
% 3.72/3.92 ** KEPT (pick-wt=26): 34 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in($f8(C,A,B),C).
% 3.72/3.92 ** 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).
% 3.72/3.92 ** 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),$f8(C,A,B)),A).
% 3.72/3.92 ** KEPT (pick-wt=16): 37 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 3.72/3.92 ** KEPT (pick-wt=17): 38 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 3.72/3.92 ** KEPT (pick-wt=21): 39 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 3.72/3.92 ** KEPT (pick-wt=22): 40 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 3.72/3.92 ** KEPT (pick-wt=23): 41 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 3.72/3.92 ** KEPT (pick-wt=30): 42 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f10(A,C,B),B)| -in($f10(A,C,B),relation_dom(A))| -in(apply(A,$f10(A,C,B)),C).
% 3.72/3.92 ** KEPT (pick-wt=19): 43 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 3.72/3.92 ** KEPT (pick-wt=17): 44 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 3.72/3.92 ** KEPT (pick-wt=18): 45 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 3.72/3.92 ** 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),$f13(A,C,B)),A).
% 3.72/3.92 ** KEPT (pick-wt=19): 47 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 3.72/3.92 ** KEPT (pick-wt=24): 48 [] -relation(A)|B=relation_image(A,C)| -in($f13(A,C,B),B)| -in(ordered_pair(D,$f13(A,C,B)),A)| -in(D,C).
% 3.72/3.92 ** KEPT (pick-wt=19): 49 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 3.72/3.92 ** KEPT (pick-wt=17): 50 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 3.72/3.92 ** KEPT (pick-wt=18): 51 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 3.72/3.92 ** KEPT (pick-wt=24): 52 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 3.72/3.92 ** 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).
% 3.72/3.92 ** 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).
% 3.72/3.92 ** KEPT (pick-wt=18): 55 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 3.72/3.92 ** KEPT (pick-wt=12): 56 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 3.72/3.92 ** KEPT (pick-wt=12): 57 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 3.72/3.92 ** KEPT (pick-wt=12): 58 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 3.72/3.92 ** KEPT (pick-wt=20): 59 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 3.72/3.93 ** KEPT (pick-wt=20): 60 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 3.72/3.93 ** KEPT (pick-wt=20): 61 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 3.72/3.93 ** KEPT (pick-wt=14): 63 [copy,62,flip.3] -relation(A)| -in(B,A)|ordered_pair($f19(A,B),$f18(A,B))=B.
% 3.72/3.93 ** KEPT (pick-wt=8): 64 [] relation(A)|$f20(A)!=ordered_pair(B,C).
% 3.72/3.93 ** KEPT (pick-wt=16): 65 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 3.72/3.93 ** KEPT (pick-wt=16): 66 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f21(A,B,C),A).
% 3.72/3.93 ** KEPT (pick-wt=16): 67 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f21(A,B,C)).
% 3.72/3.93 ** KEPT (pick-wt=20): 68 [] A=empty_set|B=set_meet(A)|in($f23(A,B),B)| -in(C,A)|in($f23(A,B),C).
% 3.72/3.93 ** KEPT (pick-wt=17): 69 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)|in($f22(A,B),A).
% 3.72/3.93 ** KEPT (pick-wt=19): 70 [] A=empty_set|B=set_meet(A)| -in($f23(A,B),B)| -in($f23(A,B),$f22(A,B)).
% 3.72/3.93 ** KEPT (pick-wt=10): 71 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 3.72/3.93 ** KEPT (pick-wt=10): 72 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 3.72/3.93 ** KEPT (pick-wt=10): 73 [] A!=singleton(B)| -in(C,A)|C=B.
% 3.72/3.93 ** KEPT (pick-wt=10): 74 [] A!=singleton(B)|in(C,A)|C!=B.
% 3.72/3.93 ** KEPT (pick-wt=14): 75 [] A=singleton(B)| -in($f24(B,A),A)|$f24(B,A)!=B.
% 3.72/3.93 ** KEPT (pick-wt=6): 76 [] A!=empty_set| -in(B,A).
% 3.72/3.93 ** KEPT (pick-wt=10): 77 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 3.72/3.93 ** KEPT (pick-wt=10): 78 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 3.72/3.93 ** KEPT (pick-wt=14): 79 [] A=powerset(B)| -in($f26(B,A),A)| -subset($f26(B,A),B).
% 3.72/3.93 ** KEPT (pick-wt=17): 80 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.72/3.93 ** KEPT (pick-wt=17): 81 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 3.72/3.93 ** KEPT (pick-wt=25): 82 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f28(A,B),$f27(A,B)),A)|in(ordered_pair($f28(A,B),$f27(A,B)),B).
% 3.72/3.93 ** KEPT (pick-wt=25): 83 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f28(A,B),$f27(A,B)),A)| -in(ordered_pair($f28(A,B),$f27(A,B)),B).
% 3.72/3.93 ** KEPT (pick-wt=8): 84 [] empty(A)| -element(B,A)|in(B,A).
% 3.72/3.93 ** KEPT (pick-wt=8): 85 [] empty(A)|element(B,A)| -in(B,A).
% 3.72/3.93 ** KEPT (pick-wt=7): 86 [] -empty(A)| -element(B,A)|empty(B).
% 3.72/3.93 ** KEPT (pick-wt=7): 87 [] -empty(A)|element(B,A)| -empty(B).
% 3.72/3.93 ** KEPT (pick-wt=14): 88 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 3.72/3.93 ** KEPT (pick-wt=11): 89 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 3.72/3.93 ** KEPT (pick-wt=11): 90 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 3.72/3.93 ** KEPT (pick-wt=17): 91 [] A=unordered_pair(B,C)| -in($f29(B,C,A),A)|$f29(B,C,A)!=B.
% 3.72/3.93 ** KEPT (pick-wt=17): 92 [] A=unordered_pair(B,C)| -in($f29(B,C,A),A)|$f29(B,C,A)!=C.
% 3.72/3.93 ** KEPT (pick-wt=14): 93 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 3.72/3.93 ** KEPT (pick-wt=11): 94 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 3.72/3.93 ** KEPT (pick-wt=11): 95 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 3.72/3.93 ** KEPT (pick-wt=17): 96 [] A=set_union2(B,C)| -in($f30(B,C,A),A)| -in($f30(B,C,A),B).
% 3.72/3.93 ** KEPT (pick-wt=17): 97 [] A=set_union2(B,C)| -in($f30(B,C,A),A)| -in($f30(B,C,A),C).
% 3.72/3.93 ** KEPT (pick-wt=15): 98 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f32(B,C,A,D),B).
% 3.72/3.93 ** KEPT (pick-wt=15): 99 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f31(B,C,A,D),C).
% 3.72/3.93 ** KEPT (pick-wt=21): 101 [copy,100,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f32(B,C,A,D),$f31(B,C,A,D))=D.
% 3.72/3.93 ** KEPT (pick-wt=19): 102 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 3.72/3.93 ** KEPT (pick-wt=25): 103 [] A=cartesian_product2(B,C)| -in($f35(B,C,A),A)| -in(D,B)| -in(E,C)|$f35(B,C,A)!=ordered_pair(D,E).
% 3.72/3.93 ** KEPT (pick-wt=17): 104 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 3.72/3.93 ** KEPT (pick-wt=16): 105 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f37(A,B),$f36(A,B)),A).
% 3.72/3.93 ** KEPT (pick-wt=16): 106 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f37(A,B),$f36(A,B)),B).
% 3.72/3.93 ** KEPT (pick-wt=9): 107 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.72/3.93 ** KEPT (pick-wt=8): 108 [] subset(A,B)| -in($f38(A,B),B).
% 3.72/3.93 ** KEPT (pick-wt=11): 109 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 3.72/3.93 ** KEPT (pick-wt=11): 110 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 3.83/3.93 ** KEPT (pick-wt=14): 111 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 3.83/3.93 ** KEPT (pick-wt=23): 112 [] A=set_intersection2(B,C)| -in($f39(B,C,A),A)| -in($f39(B,C,A),B)| -in($f39(B,C,A),C).
% 3.83/3.93 ** KEPT (pick-wt=18): 113 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 3.83/3.93 ** KEPT (pick-wt=18): 114 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 3.83/3.93 ** KEPT (pick-wt=16): 115 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 3.83/3.93 ** KEPT (pick-wt=16): 116 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 3.83/3.93 ** KEPT (pick-wt=17): 117 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f40(A,B,C)),A).
% 3.83/3.93 ** KEPT (pick-wt=14): 118 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 3.83/3.93 ** KEPT (pick-wt=20): 119 [] -relation(A)|B=relation_dom(A)|in($f42(A,B),B)|in(ordered_pair($f42(A,B),$f41(A,B)),A).
% 3.83/3.93 ** KEPT (pick-wt=18): 120 [] -relation(A)|B=relation_dom(A)| -in($f42(A,B),B)| -in(ordered_pair($f42(A,B),C),A).
% 3.83/3.93 ** KEPT (pick-wt=13): 121 [] A!=union(B)| -in(C,A)|in(C,$f43(B,A,C)).
% 3.83/3.93 ** KEPT (pick-wt=13): 122 [] A!=union(B)| -in(C,A)|in($f43(B,A,C),B).
% 3.83/3.93 ** KEPT (pick-wt=13): 123 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 3.83/3.93 ** KEPT (pick-wt=17): 124 [] A=union(B)| -in($f45(B,A),A)| -in($f45(B,A),C)| -in(C,B).
% 3.83/3.93 ** KEPT (pick-wt=11): 125 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 3.83/3.93 ** KEPT (pick-wt=11): 126 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 3.83/3.93 ** KEPT (pick-wt=14): 127 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 3.83/3.93 ** KEPT (pick-wt=17): 128 [] A=set_difference(B,C)|in($f46(B,C,A),A)| -in($f46(B,C,A),C).
% 3.83/3.93 ** KEPT (pick-wt=23): 129 [] A=set_difference(B,C)| -in($f46(B,C,A),A)| -in($f46(B,C,A),B)|in($f46(B,C,A),C).
% 3.83/3.93 ** KEPT (pick-wt=18): 130 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f47(A,B,C),relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=19): 132 [copy,131,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f47(A,B,C))=C.
% 3.83/3.93 ** KEPT (pick-wt=20): 133 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.83/3.93 ** KEPT (pick-wt=19): 134 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f49(A,B),B)|in($f48(A,B),relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=22): 136 [copy,135,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f49(A,B),B)|apply(A,$f48(A,B))=$f49(A,B).
% 3.83/3.93 ** KEPT (pick-wt=24): 137 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f49(A,B),B)| -in(C,relation_dom(A))|$f49(A,B)!=apply(A,C).
% 3.83/3.93 ** KEPT (pick-wt=17): 138 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f50(A,B,C),C),A).
% 3.83/3.93 ** KEPT (pick-wt=14): 139 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 3.83/3.93 ** KEPT (pick-wt=20): 140 [] -relation(A)|B=relation_rng(A)|in($f52(A,B),B)|in(ordered_pair($f51(A,B),$f52(A,B)),A).
% 3.83/3.93 ** KEPT (pick-wt=18): 141 [] -relation(A)|B=relation_rng(A)| -in($f52(A,B),B)| -in(ordered_pair(C,$f52(A,B)),A).
% 3.83/3.93 ** KEPT (pick-wt=11): 142 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 3.83/3.93 ** KEPT (pick-wt=10): 144 [copy,143,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 3.83/3.93 ** KEPT (pick-wt=18): 145 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 3.83/3.93 ** KEPT (pick-wt=18): 146 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 3.83/3.93 ** KEPT (pick-wt=26): 147 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f54(A,B),$f53(A,B)),B)|in(ordered_pair($f53(A,B),$f54(A,B)),A).
% 3.83/3.93 ** KEPT (pick-wt=26): 148 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f54(A,B),$f53(A,B)),B)| -in(ordered_pair($f53(A,B),$f54(A,B)),A).
% 3.83/3.93 ** KEPT (pick-wt=8): 149 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.83/3.93 ** KEPT (pick-wt=8): 150 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.83/3.93 ** KEPT (pick-wt=24): 151 [] -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.
% 3.83/3.93 ** KEPT (pick-wt=11): 152 [] -relation(A)| -function(A)|one_to_one(A)|in($f56(A),relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=11): 153 [] -relation(A)| -function(A)|one_to_one(A)|in($f55(A),relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=15): 154 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f56(A))=apply(A,$f55(A)).
% 3.83/3.93 ** KEPT (pick-wt=11): 155 [] -relation(A)| -function(A)|one_to_one(A)|$f56(A)!=$f55(A).
% 3.83/3.93 ** KEPT (pick-wt=26): 156 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f57(A,B,C,D,E)),A).
% 3.83/3.93 ** KEPT (pick-wt=26): 157 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f57(A,B,C,D,E),E),B).
% 3.83/3.93 ** KEPT (pick-wt=26): 158 [] -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).
% 3.83/3.93 ** KEPT (pick-wt=33): 159 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f60(A,B,C),$f59(A,B,C)),C)|in(ordered_pair($f60(A,B,C),$f58(A,B,C)),A).
% 3.83/3.93 ** KEPT (pick-wt=33): 160 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f60(A,B,C),$f59(A,B,C)),C)|in(ordered_pair($f58(A,B,C),$f59(A,B,C)),B).
% 3.83/3.93 ** KEPT (pick-wt=38): 161 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f60(A,B,C),$f59(A,B,C)),C)| -in(ordered_pair($f60(A,B,C),D),A)| -in(ordered_pair(D,$f59(A,B,C)),B).
% 3.83/3.93 ** KEPT (pick-wt=27): 162 [] -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).
% 3.83/3.93 ** KEPT (pick-wt=27): 163 [] -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).
% 3.83/3.93 ** KEPT (pick-wt=22): 164 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f61(B,A,C),powerset(B)).
% 3.83/3.93 ** KEPT (pick-wt=29): 165 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f61(B,A,C),C)|in(subset_complement(B,$f61(B,A,C)),A).
% 3.83/3.93 ** KEPT (pick-wt=29): 166 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f61(B,A,C),C)| -in(subset_complement(B,$f61(B,A,C)),A).
% 3.83/3.93 ** KEPT (pick-wt=6): 167 [] -proper_subset(A,B)|subset(A,B).
% 3.83/3.93 ** KEPT (pick-wt=6): 168 [] -proper_subset(A,B)|A!=B.
% 3.83/3.93 ** KEPT (pick-wt=9): 169 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 3.83/3.93 ** KEPT (pick-wt=11): 171 [copy,170,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 3.83/3.93 ** KEPT (pick-wt=7): 172 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 3.83/3.93 ** KEPT (pick-wt=7): 173 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 3.83/3.93 ** KEPT (pick-wt=10): 174 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 3.83/3.93 ** KEPT (pick-wt=5): 175 [] -relation(A)|relation(relation_inverse(A)).
% 3.83/3.93 ** KEPT (pick-wt=8): 176 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=11): 177 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 3.83/3.93 ** KEPT (pick-wt=11): 178 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 3.83/3.93 ** KEPT (pick-wt=15): 179 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 3.83/3.93 ** KEPT (pick-wt=6): 180 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=12): 181 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 3.83/3.93 ** KEPT (pick-wt=6): 182 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 3.83/3.93 ** KEPT (pick-wt=8): 183 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 3.83/3.93 ** KEPT (pick-wt=8): 184 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 3.83/3.93 ** KEPT (pick-wt=5): 185 [] -empty(A)|empty(relation_inverse(A)).
% 3.83/3.93 ** KEPT (pick-wt=5): 186 [] -empty(A)|relation(relation_inverse(A)).
% 3.83/3.93 Following clause subsumed by 180 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=8): 187 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 3.83/3.93 Following clause subsumed by 176 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=12): 188 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=3): 189 [] -empty(succ(A)).
% 3.83/3.93 ** KEPT (pick-wt=8): 190 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=3): 191 [] -empty(powerset(A)).
% 3.83/3.93 ** KEPT (pick-wt=4): 192 [] -empty(ordered_pair(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=8): 193 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=3): 194 [] -empty(singleton(A)).
% 3.83/3.93 ** KEPT (pick-wt=6): 195 [] empty(A)| -empty(set_union2(A,B)).
% 3.83/3.93 Following clause subsumed by 175 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 3.83/3.93 ** KEPT (pick-wt=9): 196 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 3.83/3.93 ** KEPT (pick-wt=4): 197 [] -empty(unordered_pair(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=6): 198 [] empty(A)| -empty(set_union2(B,A)).
% 3.83/3.93 Following clause subsumed by 180 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=8): 199 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=8): 200 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=7): 201 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=7): 202 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.83/3.93 ** KEPT (pick-wt=5): 203 [] -empty(A)|empty(relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=5): 204 [] -empty(A)|relation(relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=5): 205 [] -empty(A)|empty(relation_rng(A)).
% 3.83/3.93 ** KEPT (pick-wt=5): 206 [] -empty(A)|relation(relation_rng(A)).
% 3.83/3.93 ** KEPT (pick-wt=8): 207 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=8): 208 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 3.83/3.93 ** KEPT (pick-wt=11): 209 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 3.83/3.93 ** KEPT (pick-wt=7): 210 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 3.83/3.93 ** KEPT (pick-wt=12): 211 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 3.83/3.93 ** KEPT (pick-wt=3): 212 [] -proper_subset(A,A).
% 3.83/3.93 ** KEPT (pick-wt=4): 213 [] singleton(A)!=empty_set.
% 3.83/3.93 ** KEPT (pick-wt=9): 214 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.83/3.93 ** KEPT (pick-wt=7): 215 [] -disjoint(singleton(A),B)| -in(A,B).
% 3.83/3.93 ** KEPT (pick-wt=7): 216 [] -subset(singleton(A),B)|in(A,B).
% 3.83/3.93 ** KEPT (pick-wt=7): 217 [] subset(singleton(A),B)| -in(A,B).
% 3.83/3.93 ** KEPT (pick-wt=8): 218 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.83/3.93 ** KEPT (pick-wt=8): 219 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.83/3.93 ** KEPT (pick-wt=10): 220 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 3.83/3.93 ** KEPT (pick-wt=12): 221 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 3.83/3.93 ** KEPT (pick-wt=11): 222 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.83/3.93 ** KEPT (pick-wt=7): 223 [] subset(A,singleton(B))|A!=empty_set.
% 3.83/3.93 Following clause subsumed by 12 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.83/3.93 ** KEPT (pick-wt=7): 224 [] -in(A,B)|subset(A,union(B)).
% 3.83/3.93 ** KEPT (pick-wt=10): 225 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.83/3.93 ** KEPT (pick-wt=10): 226 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.83/3.93 ** KEPT (pick-wt=13): 227 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.83/3.93 ** KEPT (pick-wt=9): 228 [] -in($f63(A,B),B)|element(A,powerset(B)).
% 3.83/3.93 ** KEPT (pick-wt=14): 229 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.83/3.93 ** KEPT (pick-wt=13): 230 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.83/3.94 ** KEPT (pick-wt=17): 231 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 3.83/3.94 ** KEPT (pick-wt=5): 232 [] empty(A)| -empty($f64(A)).
% 3.83/3.94 ** KEPT (pick-wt=2): 233 [] -empty($c5).
% 3.83/3.94 ** KEPT (pick-wt=2): 234 [] -empty($c6).
% 3.83/3.94 ** KEPT (pick-wt=11): 235 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 3.83/3.94 ** KEPT (pick-wt=11): 236 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 3.83/3.94 ** KEPT (pick-wt=16): 237 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 3.83/3.94 ** KEPT (pick-wt=6): 238 [] -disjoint(A,B)|disjoint(B,A).
% 3.83/3.94 Following clause subsumed by 225 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 3.83/3.94 Following clause subsumed by 226 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 3.83/3.94 Following clause subsumed by 227 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 3.83/3.94 ** KEPT (pick-wt=4): 239 [] -in($c10,succ($c10)).
% 3.83/3.94 ** KEPT (pick-wt=13): 240 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 3.83/3.94 ** KEPT (pick-wt=11): 241 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,C).
% 3.83/3.94 ** KEPT (pick-wt=12): 242 [] -relation(A)| -in(B,relation_rng(relation_rng_restriction(C,A)))|in(B,relation_rng(A)).
% 3.83/3.94 ** KEPT (pick-wt=15): 243 [] -relation(A)|in(B,relation_rng(relation_rng_restriction(C,A)))| -in(B,C)| -in(B,relation_rng(A)).
% 3.83/3.94 ** KEPT (pick-wt=8): 244 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),B).
% 3.83/3.94 ** KEPT (pick-wt=7): 245 [] -relation(A)|subset(relation_rng_restriction(B,A),A).
% 3.83/3.94 ** KEPT (pick-wt=9): 246 [] -relation(A)|subset(relation_rng(relation_rng_restriction(B,A)),relation_rng(A)).
% 3.83/3.94 ** KEPT (pick-wt=10): 247 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 3.83/3.94 ** KEPT (pick-wt=10): 248 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 3.83/3.94 ** KEPT (pick-wt=11): 249 [] -relation(A)|relation_rng(relation_rng_restriction(B,A))=set_intersection2(relation_rng(A),B).
% 3.83/3.94 ** KEPT (pick-wt=13): 250 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 3.83/3.94 ** KEPT (pick-wt=8): 251 [] -subset(A,B)|set_union2(A,B)=B.
% 3.83/3.94 ** KEPT (pick-wt=11): 252 [] -in(A,$f66(B))| -subset(C,A)|in(C,$f66(B)).
% 3.83/3.94 ** KEPT (pick-wt=9): 253 [] -in(A,$f66(B))|in(powerset(A),$f66(B)).
% 3.83/3.94 ** KEPT (pick-wt=12): 254 [] -subset(A,$f66(B))|are_e_quipotent(A,$f66(B))|in(A,$f66(B)).
% 3.83/3.94 ** KEPT (pick-wt=13): 256 [copy,255,flip.2] -relation(A)|relation_rng_restriction(B,relation_dom_restriction(A,C))=relation_dom_restriction(relation_rng_restriction(B,A),C).
% 3.83/3.94 ** KEPT (pick-wt=14): 257 [] -relation(A)| -in(B,relation_image(A,C))|in($f67(B,C,A),relation_dom(A)).
% 3.83/3.94 ** KEPT (pick-wt=15): 258 [] -relation(A)| -in(B,relation_image(A,C))|in(ordered_pair($f67(B,C,A),B),A).
% 3.83/3.94 ** KEPT (pick-wt=13): 259 [] -relation(A)| -in(B,relation_image(A,C))|in($f67(B,C,A),C).
% 3.83/3.94 ** KEPT (pick-wt=19): 260 [] -relation(A)|in(B,relation_image(A,C))| -in(D,relation_dom(A))| -in(ordered_pair(D,B),A)| -in(D,C).
% 3.83/3.94 ** KEPT (pick-wt=8): 261 [] -relation(A)|subset(relation_image(A,B),relation_rng(A)).
% 3.83/3.94 ** KEPT (pick-wt=11): 262 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 3.83/3.94 ** KEPT (pick-wt=12): 264 [copy,263,flip.2] -relation(A)|relation_image(A,set_intersection2(relation_dom(A),B))=relation_image(A,B).
% 3.83/3.94 ** KEPT (pick-wt=13): 265 [] -relation(A)| -subset(B,relation_dom(A))|subset(B,relation_inverse_image(A,relation_image(A,B))).
% 3.83/3.94 ** KEPT (pick-wt=9): 267 [copy,266,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 3.83/3.94 ** KEPT (pick-wt=15): 268 [] -relation(A)| -function(A)| -subset(B,relation_rng(A))|relation_image(A,relation_inverse_image(A,B))=B.
% 3.83/3.94 ** KEPT (pick-wt=13): 269 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 3.83/3.94 ** KEPT (pick-wt=14): 270 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f68(B,C,A),relation_rng(A)).
% 3.83/3.94 ** KEPT (pick-wt=15): 271 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in(ordered_pair(B,$f68(B,C,A)),A).
% 3.83/3.94 ** KEPT (pick-wt=13): 272 [] -relation(A)| -in(B,relation_inverse_image(A,C))|in($f68(B,C,A),C).
% 3.83/3.94 ** KEPT (pick-wt=19): 273 [] -relation(A)|in(B,relation_inverse_image(A,C))| -in(D,relation_rng(A))| -in(ordered_pair(B,D),A)| -in(D,C).
% 3.83/3.94 ** KEPT (pick-wt=8): 274 [] -relation(A)|subset(relation_inverse_image(A,B),relation_dom(A)).
% 3.83/3.94 ** KEPT (pick-wt=14): 275 [] -relation(A)|B=empty_set| -subset(B,relation_rng(A))|relation_inverse_image(A,B)!=empty_set.
% 3.83/3.94 ** KEPT (pick-wt=12): 276 [] -relation(A)| -subset(B,C)|subset(relation_inverse_image(A,B),relation_inverse_image(A,C)).
% 3.83/3.94 ** KEPT (pick-wt=11): 277 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 3.83/3.94 ** KEPT (pick-wt=6): 278 [] -in(A,B)|element(A,B).
% 3.83/3.94 ** KEPT (pick-wt=9): 279 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 3.83/3.94 ** KEPT (pick-wt=11): 280 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.83/3.94 ** KEPT (pick-wt=11): 281 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_rng(A)).
% 3.83/3.94 ** KEPT (pick-wt=18): 282 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(C,relation_dom(B)).
% 3.83/3.94 ** KEPT (pick-wt=20): 283 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(relation_composition(B,A)))|in(apply(B,C),relation_dom(A)).
% 3.83/3.94 ** KEPT (pick-wt=24): 284 [] -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)).
% 3.83/3.94 ** KEPT (pick-wt=9): 285 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 3.83/3.94 ** KEPT (pick-wt=25): 286 [] -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)).
% 3.83/3.94 ** KEPT (pick-wt=23): 287 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 3.83/3.94 ** KEPT (pick-wt=12): 288 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 3.83/3.94 ** KEPT (pick-wt=12): 289 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 3.83/3.94 ** KEPT (pick-wt=10): 290 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 3.83/3.94 ** KEPT (pick-wt=8): 291 [] -subset(A,B)|set_intersection2(A,B)=A.
% 3.83/3.94 Following clause subsumed by 84 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.83/3.94 ** KEPT (pick-wt=13): 292 [] -in($f69(A,B),A)| -in($f69(A,B),B)|A=B.
% 3.83/3.94 ** KEPT (pick-wt=11): 293 [] -relation(A)| -in(ordered_pair(B,C),A)|in(B,relation_field(A)).
% 3.83/3.94 ** KEPT (pick-wt=11): 294 [] -relation(A)| -in(ordered_pair(B,C),A)|in(C,relation_field(A)).
% 3.83/3.94 ** KEPT (pick-wt=10): 295 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 3.83/3.94 ** KEPT (pick-wt=10): 296 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 3.83/3.94 ** KEPT (pick-wt=10): 297 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 3.83/3.94 ** KEPT (pick-wt=12): 298 [] -relation(A)| -function(A)|A!=identity_relation(B)|relation_dom(A)=B.
% 3.83/3.94 ** KEPT (pick-wt=16): 299 [] -relation(A)| -function(A)|A!=identity_relation(B)| -in(C,B)|apply(A,C)=C.
% 3.83/3.94 ** KEPT (pick-wt=17): 300 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|in($f70(B,A),B).
% 3.83/3.94 ** KEPT (pick-wt=21): 301 [] -relation(A)| -function(A)|A=identity_relation(B)|relation_dom(A)!=B|apply(A,$f70(B,A))!=$f70(B,A).
% 3.83/3.94 ** KEPT (pick-wt=9): 302 [] -in(A,B)|apply(identity_relation(B),A)=A.
% 3.83/3.94 ** KEPT (pick-wt=8): 303 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 3.83/3.94 ** KEPT (pick-wt=8): 305 [copy,304,flip.2] -relation(A)|relation_rng(relation_inverse(A))=relation_dom(A).
% 3.83/3.94 Following clause subsumed by 218 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 3.83/3.94 Following clause subsumed by 219 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 3.83/3.94 Following clause subsumed by 216 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 3.83/3.94 Following clause subsumed by 217 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 3.83/3.95 ** KEPT (pick-wt=8): 306 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 3.83/3.95 ** KEPT (pick-wt=8): 307 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 3.83/3.95 ** KEPT (pick-wt=11): 308 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 3.83/3.95 Following clause subsumed by 222 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 3.83/3.95 Following clause subsumed by 223 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 3.83/3.95 Following clause subsumed by 12 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 3.83/3.95 ** KEPT (pick-wt=9): 309 [] -in(A,B)| -in(B,C)| -in(C,A).
% 3.83/3.95 ** KEPT (pick-wt=7): 310 [] -element(A,powerset(B))|subset(A,B).
% 3.83/3.95 ** KEPT (pick-wt=7): 311 [] element(A,powerset(B))| -subset(A,B).
% 3.83/3.95 ** KEPT (pick-wt=9): 312 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 3.83/3.95 ** KEPT (pick-wt=6): 313 [] -subset(A,empty_set)|A=empty_set.
% 3.83/3.95 ** KEPT (pick-wt=16): 314 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 3.83/3.95 ** KEPT (pick-wt=16): 315 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 3.83/3.95 ** KEPT (pick-wt=11): 316 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 3.83/3.95 ** KEPT (pick-wt=11): 317 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 3.83/3.95 ** KEPT (pick-wt=10): 319 [copy,318,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 3.83/3.95 ** KEPT (pick-wt=16): 320 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 3.83/3.95 ** KEPT (pick-wt=13): 321 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 3.83/3.95 Following clause subsumed by 214 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 3.83/3.95 ** KEPT (pick-wt=16): 322 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 3.83/3.95 ** KEPT (pick-wt=21): 323 [] -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)).
% 3.83/3.95 ** KEPT (pick-wt=21): 324 [] -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)).
% 3.83/3.95 ** KEPT (pick-wt=10): 325 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.83/3.95 ** KEPT (pick-wt=8): 326 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 3.83/3.95 ** KEPT (pick-wt=18): 327 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 3.83/3.95 ** KEPT (pick-wt=19): 328 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 3.83/3.95 ** KEPT (pick-wt=27): 329 [] -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)).
% 3.83/3.95 ** KEPT (pick-wt=28): 330 [] -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).
% 3.83/3.95 ** KEPT (pick-wt=27): 331 [] -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)).
% 3.83/3.95 ** KEPT (pick-wt=28): 332 [] -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).
% 3.83/3.95 ** KEPT (pick-wt=31): 333 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f74(A,B),relation_rng(A))|in($f73(A,B),relation_dom(A)).
% 3.83/3.95 ** KEPT (pick-wt=34): 335 [copy,334,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f74(A,B),relation_rng(A))|apply(A,$f73(A,B))=$f74(A,B).
% 3.83/3.95 ** KEPT (pick-wt=34): 337 [copy,336,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,$f74(A,B))=$f73(A,B)|in($f73(A,B),relation_dom(A)).
% 3.85/4.00 ** KEPT (pick-wt=37): 339 [copy,338,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f74(A,B))=$f73(A,B)|apply(A,$f73(A,B))=$f74(A,B).
% 3.85/4.00 ** KEPT (pick-wt=49): 341 [copy,340,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f73(A,B),relation_dom(A))|apply(A,$f73(A,B))!=$f74(A,B)| -in($f74(A,B),relation_rng(A))|apply(B,$f74(A,B))!=$f73(A,B).
% 3.85/4.00 ** KEPT (pick-wt=12): 342 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 3.85/4.00 ** KEPT (pick-wt=12): 343 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 3.85/4.00 ** KEPT (pick-wt=12): 345 [copy,344,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 3.85/4.00 ** KEPT (pick-wt=12): 346 [] -relation(A)|in(ordered_pair($f76(A),$f75(A)),A)|A=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=18): 348 [copy,347,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(A,apply(function_inverse(A),B))=B.
% 3.85/4.00 ** KEPT (pick-wt=18): 350 [copy,349,flip.5] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_rng(A))|apply(relation_composition(function_inverse(A),A),B)=B.
% 3.85/4.00 ** KEPT (pick-wt=9): 351 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.85/4.00 ** KEPT (pick-wt=6): 352 [] -subset(A,B)| -proper_subset(B,A).
% 3.85/4.00 ** KEPT (pick-wt=9): 353 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 3.85/4.00 ** KEPT (pick-wt=9): 354 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 3.85/4.00 ** KEPT (pick-wt=9): 355 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=9): 356 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=10): 357 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=10): 358 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=9): 359 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 3.85/4.00 ** KEPT (pick-wt=20): 360 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)|relation_dom(A)=set_intersection2(relation_dom(B),C).
% 3.85/4.00 ** KEPT (pick-wt=24): 361 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A!=relation_dom_restriction(B,C)| -in(D,relation_dom(A))|apply(A,D)=apply(B,D).
% 3.85/4.00 ** KEPT (pick-wt=27): 362 [] -relation(A)| -function(A)| -relation(B)| -function(B)|A=relation_dom_restriction(B,C)|relation_dom(A)!=set_intersection2(relation_dom(B),C)|in($f77(C,A,B),relation_dom(A)).
% 3.85/4.00 ** KEPT (pick-wt=33): 363 [] -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,$f77(C,A,B))!=apply(B,$f77(C,A,B)).
% 3.85/4.00 ** KEPT (pick-wt=5): 364 [] -empty(A)|A=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=8): 365 [] -subset(singleton(A),singleton(B))|A=B.
% 3.85/4.00 ** KEPT (pick-wt=19): 366 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.85/4.00 ** KEPT (pick-wt=16): 367 [] -relation(A)| -function(A)| -in(B,C)|apply(relation_dom_restriction(A,C),B)=apply(A,B).
% 3.85/4.00 ** KEPT (pick-wt=13): 368 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(B,D).
% 3.85/4.00 ** KEPT (pick-wt=15): 369 [] -relation(A)| -in(ordered_pair(B,C),relation_composition(identity_relation(D),A))|in(ordered_pair(B,C),A).
% 3.85/4.00 ** KEPT (pick-wt=18): 370 [] -relation(A)|in(ordered_pair(B,C),relation_composition(identity_relation(D),A))| -in(B,D)| -in(ordered_pair(B,C),A).
% 3.85/4.00 ** KEPT (pick-wt=5): 371 [] -in(A,B)| -empty(B).
% 3.85/4.00 ** KEPT (pick-wt=8): 372 [] -in(A,B)|in($f78(A,B),B).
% 3.85/4.00 ** KEPT (pick-wt=11): 373 [] -in(A,B)| -in(C,B)| -in(C,$f78(A,B)).
% 3.85/4.00 ** KEPT (pick-wt=8): 374 [] -disjoint(A,B)|set_difference(A,B)=A.
% 3.85/4.00 ** KEPT (pick-wt=8): 375 [] disjoint(A,B)|set_difference(A,B)!=A.
% 3.85/4.00 ** KEPT (pick-wt=11): 376 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 3.85/4.00 ** KEPT (pick-wt=12): 377 [] -relation(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 3.85/4.00 ** KEPT (pick-wt=15): 378 [] -relation(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,C)| -in(B,relation_dom(A)).
% 3.85/4.00 ** KEPT (pick-wt=7): 379 [] -relation(A)|subset(relation_dom_restriction(A,B),A).
% 3.85/4.00 ** KEPT (pick-wt=7): 380 [] -empty(A)|A=B| -empty(B).
% 3.85/4.00 Following clause subsumed by 280 during input processing: 0 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|in(B,relation_dom(A)).
% 3.85/4.00 ** KEPT (pick-wt=14): 381 [] -relation(A)| -function(A)| -in(ordered_pair(B,C),A)|C=apply(A,B).
% 3.85/4.00 Following clause subsumed by 113 during input processing: 0 [] -relation(A)| -function(A)|in(ordered_pair(B,C),A)| -in(B,relation_dom(A))|C!=apply(A,B).
% 3.85/4.00 ** KEPT (pick-wt=11): 382 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 3.85/4.00 ** KEPT (pick-wt=9): 383 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 3.85/4.00 ** KEPT (pick-wt=11): 384 [] -relation(A)|relation_dom(relation_dom_restriction(A,B))=set_intersection2(relation_dom(A),B).
% 3.85/4.00 Following clause subsumed by 224 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 3.85/4.00 ** KEPT (pick-wt=10): 385 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 3.85/4.00 ** KEPT (pick-wt=9): 386 [] -relation(A)|subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A)).
% 3.85/4.00 ** KEPT (pick-wt=11): 387 [] -in(A,$f80(B))| -subset(C,A)|in(C,$f80(B)).
% 3.85/4.00 ** KEPT (pick-wt=10): 388 [] -in(A,$f80(B))|in($f79(B,A),$f80(B)).
% 3.85/4.00 ** KEPT (pick-wt=12): 389 [] -in(A,$f80(B))| -subset(C,A)|in(C,$f79(B,A)).
% 3.85/4.00 ** KEPT (pick-wt=12): 390 [] -subset(A,$f80(B))|are_e_quipotent(A,$f80(B))|in(A,$f80(B)).
% 3.85/4.00 ** KEPT (pick-wt=9): 391 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 3.85/4.00 107 back subsumes 104.
% 3.85/4.00 278 back subsumes 85.
% 3.85/4.00 376 back subsumes 230.
% 3.85/4.00 377 back subsumes 229.
% 3.85/4.00 378 back subsumes 231.
% 3.85/4.00 381 back subsumes 114.
% 3.85/4.00 397 back subsumes 396.
% 3.85/4.00 405 back subsumes 404.
% 3.85/4.00
% 3.85/4.00 ------------> process sos:
% 3.85/4.00 ** KEPT (pick-wt=3): 530 [] A=A.
% 3.85/4.00 ** KEPT (pick-wt=7): 531 [] unordered_pair(A,B)=unordered_pair(B,A).
% 3.85/4.00 ** KEPT (pick-wt=7): 532 [] set_union2(A,B)=set_union2(B,A).
% 3.85/4.00 ** KEPT (pick-wt=7): 533 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.85/4.00 ** KEPT (pick-wt=34): 534 [] A=unordered_triple(B,C,D)|in($f17(B,C,D,A),A)|$f17(B,C,D,A)=B|$f17(B,C,D,A)=C|$f17(B,C,D,A)=D.
% 3.85/4.00 ** KEPT (pick-wt=7): 535 [] succ(A)=set_union2(A,singleton(A)).
% 3.85/4.00 ---> New Demodulator: 536 [new_demod,535] succ(A)=set_union2(A,singleton(A)).
% 3.85/4.00 ** KEPT (pick-wt=6): 537 [] relation(A)|in($f20(A),A).
% 3.85/4.00 ** KEPT (pick-wt=14): 538 [] A=singleton(B)|in($f24(B,A),A)|$f24(B,A)=B.
% 3.85/4.00 ** KEPT (pick-wt=7): 539 [] A=empty_set|in($f25(A),A).
% 3.85/4.00 ** KEPT (pick-wt=14): 540 [] A=powerset(B)|in($f26(B,A),A)|subset($f26(B,A),B).
% 3.85/4.00 ** KEPT (pick-wt=23): 541 [] A=unordered_pair(B,C)|in($f29(B,C,A),A)|$f29(B,C,A)=B|$f29(B,C,A)=C.
% 3.85/4.00 ** KEPT (pick-wt=23): 542 [] A=set_union2(B,C)|in($f30(B,C,A),A)|in($f30(B,C,A),B)|in($f30(B,C,A),C).
% 3.85/4.00 ** KEPT (pick-wt=17): 543 [] A=cartesian_product2(B,C)|in($f35(B,C,A),A)|in($f34(B,C,A),B).
% 3.85/4.00 ** KEPT (pick-wt=17): 544 [] A=cartesian_product2(B,C)|in($f35(B,C,A),A)|in($f33(B,C,A),C).
% 3.85/4.00 ** KEPT (pick-wt=25): 546 [copy,545,flip.3] A=cartesian_product2(B,C)|in($f35(B,C,A),A)|ordered_pair($f34(B,C,A),$f33(B,C,A))=$f35(B,C,A).
% 3.85/4.00 ** KEPT (pick-wt=8): 547 [] subset(A,B)|in($f38(A,B),A).
% 3.85/4.00 ** KEPT (pick-wt=17): 548 [] A=set_intersection2(B,C)|in($f39(B,C,A),A)|in($f39(B,C,A),B).
% 3.85/4.00 ** KEPT (pick-wt=17): 549 [] A=set_intersection2(B,C)|in($f39(B,C,A),A)|in($f39(B,C,A),C).
% 3.85/4.00 ** KEPT (pick-wt=4): 550 [] cast_to_subset(A)=A.
% 3.85/4.00 ---> New Demodulator: 551 [new_demod,550] cast_to_subset(A)=A.
% 3.85/4.00 ** KEPT (pick-wt=16): 552 [] A=union(B)|in($f45(B,A),A)|in($f45(B,A),$f44(B,A)).
% 3.85/4.00 ** KEPT (pick-wt=14): 553 [] A=union(B)|in($f45(B,A),A)|in($f44(B,A),B).
% 3.85/4.00 ** KEPT (pick-wt=17): 554 [] A=set_difference(B,C)|in($f46(B,C,A),A)|in($f46(B,C,A),B).
% 3.85/4.00 ** KEPT (pick-wt=10): 556 [copy,555,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.85/4.00 ---> New Demodulator: 557 [new_demod,556] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 3.85/4.00 ** KEPT (pick-wt=4): 559 [copy,558,demod,551] element(A,powerset(A)).
% 3.85/4.00 ** KEPT (pick-wt=3): 560 [] relation(identity_relation(A)).
% 3.85/4.00 ** KEPT (pick-wt=4): 561 [] element($f62(A),A).
% 3.85/4.00 ** KEPT (pick-wt=2): 562 [] empty(empty_set).
% 3.85/4.00 ** KEPT (pick-wt=2): 563 [] relation(empty_set).
% 3.85/4.00 ** KEPT (pick-wt=2): 564 [] relation_empty_yielding(empty_set).
% 3.85/4.00 Following clause subsumed by 562 during input processing: 0 [] empty(empty_set).
% 3.85/4.00 Following clause subsumed by 560 during input processing: 0 [] relation(identity_relation(A)).
% 3.85/4.00 ** KEPT (pick-wt=3): 565 [] function(identity_relation(A)).
% 3.85/4.00 Following clause subsumed by 562 during input processing: 0 [] empty(empty_set).
% 3.85/4.00 Following clause subsumed by 563 during input processing: 0 [] relation(empty_set).
% 3.85/4.00 ** KEPT (pick-wt=5): 566 [] set_union2(A,A)=A.
% 3.85/4.00 ---> New Demodulator: 567 [new_demod,566] set_union2(A,A)=A.
% 3.85/4.00 ** KEPT (pick-wt=5): 568 [] set_intersection2(A,A)=A.
% 3.85/4.00 ---> New Demodulator: 569 [new_demod,568] set_intersection2(A,A)=A.
% 3.85/4.00 ** KEPT (pick-wt=7): 570 [] in(A,B)|disjoint(singleton(A),B).
% 3.85/4.00 ** KEPT (pick-wt=9): 571 [] in($f63(A,B),A)|element(A,powerset(B)).
% 3.85/4.00 ** KEPT (pick-wt=2): 572 [] relation($c1).
% 3.85/4.00 ** KEPT (pick-wt=2): 573 [] function($c1).
% 3.85/4.00 ** KEPT (pick-wt=2): 574 [] empty($c2).
% 3.85/4.00 ** KEPT (pick-wt=2): 575 [] relation($c2).
% 3.85/4.00 ** KEPT (pick-wt=7): 576 [] empty(A)|element($f64(A),powerset(A)).
% 3.85/4.00 ** KEPT (pick-wt=2): 577 [] empty($c3).
% 3.85/4.00 ** KEPT (pick-wt=2): 578 [] relation($c4).
% 3.85/4.00 ** KEPT (pick-wt=2): 579 [] empty($c4).
% 3.85/4.00 ** KEPT (pick-wt=2): 580 [] function($c4).
% 3.85/4.00 ** KEPT (pick-wt=2): 581 [] relation($c5).
% 3.85/4.00 ** KEPT (pick-wt=5): 582 [] element($f65(A),powerset(A)).
% 3.85/4.00 ** KEPT (pick-wt=3): 583 [] empty($f65(A)).
% 3.85/4.00 ** KEPT (pick-wt=2): 584 [] relation($c7).
% 3.85/4.00 ** KEPT (pick-wt=2): 585 [] function($c7).
% 3.85/4.00 ** KEPT (pick-wt=2): 586 [] one_to_one($c7).
% 3.85/4.00 ** KEPT (pick-wt=2): 587 [] relation($c8).
% 3.85/4.00 ** KEPT (pick-wt=2): 588 [] relation_empty_yielding($c8).
% 3.85/4.00 ** KEPT (pick-wt=2): 589 [] relation($c9).
% 3.85/4.00 ** KEPT (pick-wt=2): 590 [] relation_empty_yielding($c9).
% 3.85/4.00 ** KEPT (pick-wt=2): 591 [] function($c9).
% 3.85/4.00 ** KEPT (pick-wt=3): 592 [] subset(A,A).
% 3.85/4.00 ** KEPT (pick-wt=4): 593 [] in(A,$f66(A)).
% 3.85/4.00 ** KEPT (pick-wt=5): 594 [] subset(set_intersection2(A,B),A).
% 3.85/4.00 ** KEPT (pick-wt=5): 595 [] set_union2(A,empty_set)=A.
% 3.85/4.00 ---> New Demodulator: 596 [new_demod,595] set_union2(A,empty_set)=A.
% 3.85/4.00 ** KEPT (pick-wt=5): 598 [copy,597,flip.1] singleton(empty_set)=powerset(empty_set).
% 3.85/4.00 ---> New Demodulator: 599 [new_demod,598] singleton(empty_set)=powerset(empty_set).
% 3.85/4.00 ** KEPT (pick-wt=5): 600 [] set_intersection2(A,empty_set)=empty_set.
% 3.85/4.00 ---> New Demodulator: 601 [new_demod,600] set_intersection2(A,empty_set)=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=13): 602 [] in($f69(A,B),A)|in($f69(A,B),B)|A=B.
% 3.85/4.00 ** KEPT (pick-wt=3): 603 [] subset(empty_set,A).
% 3.85/4.00 ** KEPT (pick-wt=5): 604 [] subset(set_difference(A,B),A).
% 3.85/4.00 ** KEPT (pick-wt=9): 605 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.85/4.00 ---> New Demodulator: 606 [new_demod,605] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 3.85/4.00 ** KEPT (pick-wt=5): 607 [] set_difference(A,empty_set)=A.
% 3.85/4.00 ---> New Demodulator: 608 [new_demod,607] set_difference(A,empty_set)=A.
% 3.85/4.00 ** KEPT (pick-wt=8): 609 [] disjoint(A,B)|in($f71(A,B),A).
% 3.85/4.00 ** KEPT (pick-wt=8): 610 [] disjoint(A,B)|in($f71(A,B),B).
% 3.85/4.00 ** KEPT (pick-wt=9): 611 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.85/4.00 ---> New Demodulator: 612 [new_demod,611] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 3.85/4.00 ** KEPT (pick-wt=9): 614 [copy,613,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.85/4.00 ---> New Demodulator: 615 [new_demod,614] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 3.85/4.00 ** KEPT (pick-wt=5): 616 [] set_difference(empty_set,A)=empty_set.
% 3.85/4.00 ---> New Demodulator: 617 [new_demod,616] set_difference(empty_set,A)=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=12): 619 [copy,618,demod,615] disjoint(A,B)|in($f72(A,B),set_difference(A,set_difference(A,B))).
% 3.85/4.00 ** KEPT (pick-wt=4): 620 [] relation_dom(empty_set)=empty_set.
% 3.85/4.00 ---> New Demodulator: 621 [new_demod,620] relation_dom(empty_set)=empty_set.
% 3.85/4.00 ** KEPT (pick-wt=4): 622 [] relation_rng(empty_set)=empty_set.
% 3.85/4.00 ---> New Demodulator: 623 [new_demod,622] relation_rng(empty_set)=empty_set.
% 3.85/4.01 ** KEPT (pick-wt=9): 624 [] set_difference(A,singleton(B))=A|in(B,A).
% 3.85/4.01 ** KEPT (pick-wt=6): 626 [copy,625,flip.1] singleton(A)=unordered_pair(A,A).
% 3.85/4.01 ---> New Demodulator: 627 [new_demod,626] singleton(A)=unordered_pair(A,A).
% 3.85/4.01 ** KEPT (pick-wt=5): 628 [] relation_dom(identity_relation(A))=A.
% 3.85/4.01 ---> New Demodulator: 629 [new_demod,628] relation_dom(identity_relation(A))=A.
% 3.85/4.01 ** KEPT (pick-wt=5): 630 [] relation_rng(identity_relation(A))=A.
% 3.85/4.01 ---> New Demodulator: 631 [new_demod,630] relation_rng(identity_relation(A))=A.
% 3.85/4.01 ** KEPT (pick-wt=5): 632 [] subset(A,set_union2(A,B)).
% 3.85/4.01 ** KEPT (pick-wt=5): 633 [] union(powerset(A))=A.
% 3.85/4.01 ---> New Demodulator: 634 [new_demod,633] union(powerset(A))=A.
% 3.85/4.01 ** KEPT (pick-wt=4): 635 [] in(A,$f80(A)).
% 3.85/4.01 Following clause subsumed by 530 during input processing: 0 [copy,530,flip.1] A=A.
% 3.85/4.01 530 back subsumes 516.
% 3.85/4.01 530 back subsumes 511.
% 3.85/4.01 530 back subsumes 491.
% 3.85/4.01 530 back subsumes 442.
% 3.85/4.01 530 back subsumes 418.
% 3.85/4.01 530 back subsumes 417.
% 3.85/4.01 530 back subsumes 394.
% 3.85/4.01 Following clause subsumed by 531 during input processing: 0 [copy,531,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 3.85/4.01 Following clause subsumed by 532 during input processing: 0 [copy,532,flip.1] set_union2(A,B)=set_union2(B,A).
% 3.85/4.01 ** KEPT (pick-wt=11): 636 [copy,533,flip.1,demod,615,615] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 3.85/4.01 >>>> Starting back demodulation with 536.
% 3.85/4.01 >> back demodulating 239 with 536.
% 3.85/4.01 >> back demodulating 189 with 536.
% 3.85/4.01 >>>> Starting back demodulation with 551.
% 3.85/4.01 >> back demodulating 324 with 551.
% 3.85/4.01 >> back demodulating 323 with 551.
% 3.85/4.01 >>>> Starting back demodulation with 557.
% 3.85/4.01 >>>> Starting back demodulation with 567.
% 3.85/4.01 >> back demodulating 517 with 567.
% 3.85/4.01 >> back demodulating 473 with 567.
% 3.85/4.01 >> back demodulating 421 with 567.
% 3.85/4.01 >>>> Starting back demodulation with 569.
% 3.85/4.01 >> back demodulating 521 with 569.
% 3.85/4.01 >> back demodulating 483 with 569.
% 3.85/4.01 >> back demodulating 472 with 569.
% 3.85/4.01 >> back demodulating 433 with 569.
% 3.85/4.01 >> back demodulating 430 with 569.
% 3.85/4.01 592 back subsumes 490.
% 3.85/4.01 592 back subsumes 489.
% 3.85/4.01 592 back subsumes 429.
% 3.85/4.01 592 back subsumes 428.
% 3.85/4.01 >>>> Starting back demodulation with 596.
% 3.85/4.01 >>>> Starting back demodulation with 599.
% 3.85/4.01 >>>> Starting back demodulation with 601.
% 3.85/4.01 >>>> Starting back demodulation with 606.
% 3.85/4.01 >> back demodulating 319 with 606.
% 3.85/4.01 >>>> Starting back demodulation with 608.
% 3.85/4.01 >>>> Starting back demodulation with 612.
% 3.85/4.01 >>>> Starting back demodulation with 615.
% 3.85/4.01 >> back demodulating 600 with 615.
% 3.85/4.01 >> back demodulating 594 with 615.
% 3.85/4.01 >> back demodulating 568 with 615.
% 3.85/4.01 >> back demodulating 549 with 615.
% 3.85/4.01 >> back demodulating 548 with 615.
% 3.85/4.01 >> back demodulating 533 with 615.
% 3.85/4.01 >> back demodulating 513 with 615.
% 3.85/4.01 >> back demodulating 512 with 615.
% 3.85/4.01 >> back demodulating 510 with 615.
% 3.85/4.01 >> back demodulating 432 with 615.
% 3.85/4.01 >> back demodulating 431 with 615.
% 3.85/4.01 >> back demodulating 384 with 615.
% 3.85/4.01 >> back demodulating 363 with 615.
% 3.85/4.01 >> back demodulating 362 with 615.
% 3.85/4.01 >> back demodulating 360 with 615.
% 3.85/4.01 >> back demodulating 326 with 615.
% 3.85/4.01 >> back demodulating 291 with 615.
% 3.85/4.01 >> back demodulating 290 with 615.
% 3.85/4.01 >> back demodulating 277 with 615.
% 3.85/4.01 >> back demodulating 264 with 615.
% 3.85/4.01 >> back demodulating 249 with 615.
% 3.85/4.01 >> back demodulating 190 with 615.
% 3.85/4.01 >> back demodulating 150 with 615.
% 3.85/4.01 >> back demodulating 149 with 615.
% 3.85/4.01 >> back demodulating 112 with 615.
% 3.85/4.01 >> back demodulating 111 with 615.
% 3.85/4.01 >> back demodulating 110 with 615.
% 3.85/4.01 >> back demodulating 109 with 615.
% 3.85/4.01 >>>> Starting back demodulation with 617.
% 3.85/4.01 >>>> Starting back demodulation with 621.
% 3.85/4.01 >>>> Starting back demodulation with 623.
% 3.85/4.01 >>>> Starting back demodulation with 627.
% 3.85/4.01 >> back demodulating 624 with 627.
% 3.85/4.01 >> back demodulating 598 with 627.
% 3.85/4.01 >> back demodulating 570 with 627.
% 3.85/4.01 >> back demodulating 556 with 627.
% 3.85/4.01 >> back demodulating 538 with 627.
% 3.85/4.01 >> back demodulating 535 with 627.
% 3.85/4.01 >> back demodulating 391 with 627.
% 3.85/4.01 >> back demodulating 383 with 627.
% 3.85/4.01 >> back demodulating 365 with 627.
% 28.16/28.30 >> back demodulating 359 with 627.
% 28.16/28.30 >> back demodulating 223 with 627.
% 28.16/28.30 >> back demodulating 222 with 627.
% 28.16/28.30 >> back demodulating 221 with 627.
% 28.16/28.30 >> back demodulating 217 with 627.
% 28.16/28.30 >> back demodulating 216 with 627.
% 28.16/28.30 >> back demodulating 215 with 627.
% 28.16/28.30 >> back demodulating 214 with 627.
% 28.16/28.30 >> back demodulating 213 with 627.
% 28.16/28.30 >> back demodulating 194 with 627.
% 28.16/28.30 >> back demodulating 75 with 627.
% 28.16/28.30 >> back demodulating 74 with 627.
% 28.16/28.30 >> back demodulating 73 with 627.
% 28.16/28.30 >>>> Starting back demodulation with 629.
% 28.16/28.30 >>>> Starting back demodulation with 631.
% 28.16/28.30 >>>> Starting back demodulation with 634.
% 28.16/28.30 Following clause subsumed by 636 during input processing: 0 [copy,636,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 28.16/28.30 651 back subsumes 80.
% 28.16/28.30 653 back subsumes 81.
% 28.16/28.30 >>>> Starting back demodulation with 655.
% 28.16/28.30 >> back demodulating 476 with 655.
% 28.16/28.30 >>>> Starting back demodulation with 680.
% 28.16/28.30 >>>> Starting back demodulation with 683.
% 28.16/28.30 >>>> Starting back demodulation with 686.
% 28.16/28.30
% 28.16/28.30 ======= end of input processing =======
% 28.16/28.30
% 28.16/28.30 =========== start of search ===========
% 28.16/28.30
% 28.16/28.30
% 28.16/28.30 Resetting weight limit to 2.
% 28.16/28.30
% 28.16/28.30
% 28.16/28.30 Resetting weight limit to 2.
% 28.16/28.30
% 28.16/28.30 sos_size=127
% 28.16/28.30
% 28.16/28.30 Search stopped because sos empty.
% 28.16/28.30
% 28.16/28.30
% 28.16/28.30 Search stopped because sos empty.
% 28.16/28.30
% 28.16/28.30 ============ end of search ============
% 28.16/28.30
% 28.16/28.30 -------------- statistics -------------
% 28.16/28.30 clauses given 136
% 28.16/28.30 clauses generated 1210403
% 28.16/28.30 clauses kept 657
% 28.16/28.30 clauses forward subsumed 229
% 28.16/28.30 clauses back subsumed 21
% 28.16/28.30 Kbytes malloced 8789
% 28.16/28.30
% 28.16/28.30 ----------- times (seconds) -----------
% 28.16/28.30 user CPU time 24.39 (0 hr, 0 min, 24 sec)
% 28.16/28.30 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 28.16/28.30 wall-clock time 28 (0 hr, 0 min, 28 sec)
% 28.16/28.30
% 28.16/28.30 Process 7170 finished Wed Jul 27 08:12:13 2022
% 28.16/28.30 Otter interrupted
% 28.16/28.30 PROOF NOT FOUND
%------------------------------------------------------------------------------