TSTP Solution File: SEU176+2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU176+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:15:03 EDT 2022
% Result : Unknown 11.87s 12.03s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU176+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 07:56:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.04/2.24 ----- Otter 3.3f, August 2004 -----
% 2.04/2.24 The process was started by sandbox2 on n029.cluster.edu,
% 2.04/2.24 Wed Jul 27 07:56:44 2022
% 2.04/2.24 The command was "./otter". The process ID is 25374.
% 2.04/2.24
% 2.04/2.24 set(prolog_style_variables).
% 2.04/2.24 set(auto).
% 2.04/2.24 dependent: set(auto1).
% 2.04/2.24 dependent: set(process_input).
% 2.04/2.24 dependent: clear(print_kept).
% 2.04/2.24 dependent: clear(print_new_demod).
% 2.04/2.24 dependent: clear(print_back_demod).
% 2.04/2.24 dependent: clear(print_back_sub).
% 2.04/2.24 dependent: set(control_memory).
% 2.04/2.24 dependent: assign(max_mem, 12000).
% 2.04/2.24 dependent: assign(pick_given_ratio, 4).
% 2.04/2.24 dependent: assign(stats_level, 1).
% 2.04/2.24 dependent: assign(max_seconds, 10800).
% 2.04/2.24 clear(print_given).
% 2.04/2.24
% 2.04/2.24 formula_list(usable).
% 2.04/2.24 all A (A=A).
% 2.04/2.24 all A B (in(A,B)-> -in(B,A)).
% 2.04/2.24 all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 2.04/2.24 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.04/2.24 all A B (set_union2(A,B)=set_union2(B,A)).
% 2.04/2.24 all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 2.04/2.24 all A B (A=B<->subset(A,B)&subset(B,A)).
% 2.04/2.24 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))).
% 2.04/2.24 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 2.04/2.24 all A (A=empty_set<-> (all B (-in(B,A)))).
% 2.04/2.24 all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 2.04/2.24 all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 2.04/2.24 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 2.04/2.24 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 2.04/2.24 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)))))).
% 2.04/2.24 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 2.04/2.24 all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 2.04/2.24 all A (cast_to_subset(A)=A).
% 2.04/2.24 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 2.04/2.24 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 2.04/2.24 all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 2.04/2.24 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.04/2.24 all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 2.04/2.24 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)))))))).
% 2.04/2.24 all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 all A element(cast_to_subset(A),powerset(A)).
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 $T.
% 2.04/2.24 all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 2.04/2.24 all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 2.04/2.24 all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 2.04/2.24 all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 2.04/2.24 $T.
% 2.04/2.24 all A exists B element(B,A).
% 2.04/2.24 all A (-empty(powerset(A))).
% 2.04/2.24 empty(empty_set).
% 2.04/2.24 all A B (-empty(ordered_pair(A,B))).
% 2.04/2.24 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 2.04/2.24 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 2.04/2.24 all A B (set_union2(A,A)=A).
% 2.04/2.24 all A B (set_intersection2(A,A)=A).
% 2.04/2.24 all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 2.04/2.24 all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 2.04/2.24 all A B (-proper_subset(A,A)).
% 2.04/2.24 all A (singleton(A)!=empty_set).
% 2.04/2.24 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 2.04/2.24 all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 2.04/2.24 all A B (-in(A,B)->disjoint(singleton(A),B)).
% 2.04/2.24 all A B (subset(singleton(A),B)<->in(A,B)).
% 2.04/2.24 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 2.04/2.24 all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 2.04/2.24 all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 2.04/2.24 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 2.04/2.24 all A B (in(A,B)->subset(A,union(B))).
% 2.04/2.24 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 2.04/2.24 all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 2.04/2.24 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.04/2.24 exists A empty(A).
% 2.04/2.24 all A exists B (element(B,powerset(A))&empty(B)).
% 2.04/2.24 exists A (-empty(A)).
% 2.04/2.24 all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 2.04/2.24 all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 2.04/2.24 all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 2.04/2.24 all A B subset(A,A).
% 2.04/2.24 all A B (disjoint(A,B)->disjoint(B,A)).
% 2.04/2.24 all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 2.04/2.24 all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 2.04/2.24 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))).
% 2.04/2.24 all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 2.04/2.24 all A B (subset(A,B)->set_union2(A,B)=B).
% 2.04/2.24 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))))).
% 2.04/2.24 all A B subset(set_intersection2(A,B),A).
% 2.04/2.24 all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 2.04/2.24 all A (set_union2(A,empty_set)=A).
% 2.04/2.24 all A B (in(A,B)->element(A,B)).
% 2.04/2.24 all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 2.04/2.24 powerset(empty_set)=singleton(empty_set).
% 2.04/2.24 all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 2.04/2.24 all A B (subset(A,B)->set_intersection2(A,B)=A).
% 2.04/2.24 all A (set_intersection2(A,empty_set)=empty_set).
% 2.04/2.24 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.04/2.24 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 2.04/2.24 all A subset(empty_set,A).
% 2.04/2.24 all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 2.04/2.24 all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 2.04/2.24 all A B subset(set_difference(A,B),A).
% 2.04/2.24 all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 2.04/2.24 all A B (subset(singleton(A),B)<->in(A,B)).
% 2.04/2.24 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 2.04/2.24 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 2.04/2.24 all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 2.04/2.24 all A (set_difference(A,empty_set)=A).
% 2.04/2.24 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.04/2.24 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))).
% 2.04/2.24 all A (subset(A,empty_set)->A=empty_set).
% 2.04/2.24 all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 2.04/2.24 all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 2.04/2.24 all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 2.04/2.24 all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 2.04/2.24 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 2.04/2.24 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)))).
% 2.04/2.24 -(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))))).
% 2.04/2.24 all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 2.04/2.24 all A (set_difference(empty_set,A)=empty_set).
% 2.04/2.24 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.04/2.24 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))).
% 2.04/2.24 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)))))))).
% 2.04/2.24 all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 2.04/2.24 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.04/2.24 all A B (-(subset(A,B)&proper_subset(B,A))).
% 2.04/2.24 all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 2.04/2.24 all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 2.04/2.24 all A (unordered_pair(A,A)=singleton(A)).
% 2.04/2.24 all A (empty(A)->A=empty_set).
% 2.04/2.24 all A B (subset(singleton(A),singleton(B))->A=B).
% 2.04/2.24 all A B (-(in(A,B)&empty(B))).
% 2.04/2.24 all A B subset(A,set_union2(A,B)).
% 2.04/2.24 all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 2.04/2.24 all A B (-(empty(A)&A!=B&empty(B))).
% 2.04/2.24 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 2.04/2.24 all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 2.04/2.24 all A B (in(A,B)->subset(A,union(B))).
% 2.04/2.24 all A (union(powerset(A))=A).
% 2.04/2.24 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))))).
% 2.04/2.24 all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 2.04/2.24 end_of_list.
% 2.04/2.24
% 2.04/2.24 -------> usable clausifies to:
% 2.04/2.24
% 2.04/2.24 list(usable).
% 2.04/2.24 0 [] A=A.
% 2.04/2.24 0 [] -in(A,B)| -in(B,A).
% 2.04/2.24 0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 2.04/2.24 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.04/2.24 0 [] set_union2(A,B)=set_union2(B,A).
% 2.04/2.24 0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 2.04/2.24 0 [] A!=B|subset(A,B).
% 2.04/2.24 0 [] A!=B|subset(B,A).
% 2.04/2.24 0 [] A=B| -subset(A,B)| -subset(B,A).
% 2.04/2.24 0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 2.04/2.24 0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f1(A,B,C),A).
% 2.04/2.24 0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f1(A,B,C)).
% 2.04/2.24 0 [] A=empty_set|B=set_meet(A)|in($f3(A,B),B)| -in(X1,A)|in($f3(A,B),X1).
% 2.04/2.24 0 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)|in($f2(A,B),A).
% 2.04/2.24 0 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)| -in($f3(A,B),$f2(A,B)).
% 2.04/2.24 0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 2.04/2.24 0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 2.04/2.24 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 2.04/2.24 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 2.04/2.24 0 [] B=singleton(A)|in($f4(A,B),B)|$f4(A,B)=A.
% 2.04/2.24 0 [] B=singleton(A)| -in($f4(A,B),B)|$f4(A,B)!=A.
% 2.04/2.24 0 [] A!=empty_set| -in(B,A).
% 2.04/2.24 0 [] A=empty_set|in($f5(A),A).
% 2.04/2.24 0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 2.04/2.24 0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 2.04/2.24 0 [] B=powerset(A)|in($f6(A,B),B)|subset($f6(A,B),A).
% 2.04/2.24 0 [] B=powerset(A)| -in($f6(A,B),B)| -subset($f6(A,B),A).
% 2.04/2.24 0 [] empty(A)| -element(B,A)|in(B,A).
% 2.04/2.24 0 [] empty(A)|element(B,A)| -in(B,A).
% 2.04/2.24 0 [] -empty(A)| -element(B,A)|empty(B).
% 2.04/2.24 0 [] -empty(A)|element(B,A)| -empty(B).
% 2.04/2.24 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 2.04/2.24 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 2.04/2.24 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 2.04/2.24 0 [] C=unordered_pair(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=A|$f7(A,B,C)=B.
% 2.04/2.24 0 [] C=unordered_pair(A,B)| -in($f7(A,B,C),C)|$f7(A,B,C)!=A.
% 2.04/2.24 0 [] C=unordered_pair(A,B)| -in($f7(A,B,C),C)|$f7(A,B,C)!=B.
% 2.04/2.24 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 2.04/2.24 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 2.04/2.24 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 2.04/2.24 0 [] C=set_union2(A,B)|in($f8(A,B,C),C)|in($f8(A,B,C),A)|in($f8(A,B,C),B).
% 2.04/2.24 0 [] C=set_union2(A,B)| -in($f8(A,B,C),C)| -in($f8(A,B,C),A).
% 2.04/2.24 0 [] C=set_union2(A,B)| -in($f8(A,B,C),C)| -in($f8(A,B,C),B).
% 2.04/2.24 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f10(A,B,C,D),A).
% 2.04/2.24 0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f9(A,B,C,D),B).
% 2.04/2.24 0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f10(A,B,C,D),$f9(A,B,C,D)).
% 2.04/2.24 0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 2.04/2.24 0 [] C=cartesian_product2(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),A).
% 2.04/2.24 0 [] C=cartesian_product2(A,B)|in($f13(A,B,C),C)|in($f11(A,B,C),B).
% 2.04/2.24 0 [] C=cartesian_product2(A,B)|in($f13(A,B,C),C)|$f13(A,B,C)=ordered_pair($f12(A,B,C),$f11(A,B,C)).
% 2.04/2.24 0 [] C=cartesian_product2(A,B)| -in($f13(A,B,C),C)| -in(X2,A)| -in(X3,B)|$f13(A,B,C)!=ordered_pair(X2,X3).
% 2.04/2.24 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.04/2.24 0 [] subset(A,B)|in($f14(A,B),A).
% 2.04/2.24 0 [] subset(A,B)| -in($f14(A,B),B).
% 2.04/2.24 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 2.04/2.24 0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 2.04/2.24 0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 2.04/2.24 0 [] C=set_intersection2(A,B)|in($f15(A,B,C),C)|in($f15(A,B,C),A).
% 2.04/2.24 0 [] C=set_intersection2(A,B)|in($f15(A,B,C),C)|in($f15(A,B,C),B).
% 2.04/2.24 0 [] C=set_intersection2(A,B)| -in($f15(A,B,C),C)| -in($f15(A,B,C),A)| -in($f15(A,B,C),B).
% 2.04/2.24 0 [] cast_to_subset(A)=A.
% 2.04/2.24 0 [] B!=union(A)| -in(C,B)|in(C,$f16(A,B,C)).
% 2.04/2.24 0 [] B!=union(A)| -in(C,B)|in($f16(A,B,C),A).
% 2.04/2.24 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 2.04/2.24 0 [] B=union(A)|in($f18(A,B),B)|in($f18(A,B),$f17(A,B)).
% 2.04/2.24 0 [] B=union(A)|in($f18(A,B),B)|in($f17(A,B),A).
% 2.04/2.24 0 [] B=union(A)| -in($f18(A,B),B)| -in($f18(A,B),X4)| -in(X4,A).
% 2.04/2.24 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 2.04/2.24 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 2.04/2.24 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 2.04/2.24 0 [] C=set_difference(A,B)|in($f19(A,B,C),C)|in($f19(A,B,C),A).
% 2.04/2.24 0 [] C=set_difference(A,B)|in($f19(A,B,C),C)| -in($f19(A,B,C),B).
% 2.04/2.24 0 [] C=set_difference(A,B)| -in($f19(A,B,C),C)| -in($f19(A,B,C),A)|in($f19(A,B,C),B).
% 2.04/2.24 0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 2.04/2.24 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.04/2.24 0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 2.04/2.24 0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 2.04/2.24 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).
% 2.04/2.24 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).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f20(A,B,C),powerset(A)).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f20(A,B,C),C)|in(subset_complement(A,$f20(A,B,C)),B).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f20(A,B,C),C)| -in(subset_complement(A,$f20(A,B,C)),B).
% 2.04/2.24 0 [] -proper_subset(A,B)|subset(A,B).
% 2.04/2.24 0 [] -proper_subset(A,B)|A!=B.
% 2.04/2.24 0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] element(cast_to_subset(A),powerset(A)).
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 2.04/2.24 0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 2.04/2.24 0 [] $T.
% 2.04/2.24 0 [] element($f21(A),A).
% 2.04/2.24 0 [] -empty(powerset(A)).
% 2.04/2.24 0 [] empty(empty_set).
% 2.04/2.24 0 [] -empty(ordered_pair(A,B)).
% 2.04/2.24 0 [] empty(A)| -empty(set_union2(A,B)).
% 2.04/2.24 0 [] empty(A)| -empty(set_union2(B,A)).
% 2.04/2.24 0 [] set_union2(A,A)=A.
% 2.04/2.24 0 [] set_intersection2(A,A)=A.
% 2.04/2.24 0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 2.04/2.24 0 [] -proper_subset(A,A).
% 2.04/2.24 0 [] singleton(A)!=empty_set.
% 2.04/2.24 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 2.04/2.24 0 [] -disjoint(singleton(A),B)| -in(A,B).
% 2.04/2.24 0 [] in(A,B)|disjoint(singleton(A),B).
% 2.04/2.24 0 [] -subset(singleton(A),B)|in(A,B).
% 2.04/2.24 0 [] subset(singleton(A),B)| -in(A,B).
% 2.04/2.24 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 2.04/2.24 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 2.04/2.24 0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 2.04/2.24 0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 2.04/2.24 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 2.04/2.24 0 [] subset(A,singleton(B))|A!=empty_set.
% 2.04/2.24 0 [] subset(A,singleton(B))|A!=singleton(B).
% 2.04/2.24 0 [] -in(A,B)|subset(A,union(B)).
% 2.04/2.24 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.04/2.24 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.04/2.24 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.04/2.24 0 [] in($f22(A,B),A)|element(A,powerset(B)).
% 2.04/2.24 0 [] -in($f22(A,B),B)|element(A,powerset(B)).
% 2.04/2.24 0 [] empty(A)|element($f23(A),powerset(A)).
% 2.04/2.24 0 [] empty(A)| -empty($f23(A)).
% 2.04/2.24 0 [] empty($c1).
% 2.04/2.24 0 [] element($f24(A),powerset(A)).
% 2.04/2.24 0 [] empty($f24(A)).
% 2.04/2.24 0 [] -empty($c2).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 2.04/2.24 0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 2.04/2.24 0 [] subset(A,A).
% 2.04/2.24 0 [] -disjoint(A,B)|disjoint(B,A).
% 2.04/2.24 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.04/2.24 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.04/2.24 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.04/2.24 0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 2.04/2.24 0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 2.04/2.24 0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 2.04/2.24 0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 2.04/2.24 0 [] -subset(A,B)|set_union2(A,B)=B.
% 2.04/2.24 0 [] in(A,$f25(A)).
% 2.04/2.24 0 [] -in(C,$f25(A))| -subset(D,C)|in(D,$f25(A)).
% 2.04/2.24 0 [] -in(X5,$f25(A))|in(powerset(X5),$f25(A)).
% 2.04/2.24 0 [] -subset(X6,$f25(A))|are_e_quipotent(X6,$f25(A))|in(X6,$f25(A)).
% 2.04/2.24 0 [] subset(set_intersection2(A,B),A).
% 2.04/2.24 0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 2.04/2.24 0 [] set_union2(A,empty_set)=A.
% 2.04/2.24 0 [] -in(A,B)|element(A,B).
% 2.04/2.24 0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 2.04/2.24 0 [] powerset(empty_set)=singleton(empty_set).
% 2.04/2.24 0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 2.04/2.24 0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 2.04/2.24 0 [] set_intersection2(A,empty_set)=empty_set.
% 2.04/2.24 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.04/2.24 0 [] in($f26(A,B),A)|in($f26(A,B),B)|A=B.
% 2.04/2.24 0 [] -in($f26(A,B),A)| -in($f26(A,B),B)|A=B.
% 2.04/2.24 0 [] subset(empty_set,A).
% 2.04/2.24 0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 2.04/2.24 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 2.04/2.24 0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 2.04/2.24 0 [] subset(set_difference(A,B),A).
% 2.04/2.24 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 2.04/2.24 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 2.04/2.24 0 [] -subset(singleton(A),B)|in(A,B).
% 2.04/2.24 0 [] subset(singleton(A),B)| -in(A,B).
% 2.04/2.24 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 2.04/2.24 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 2.04/2.24 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 2.04/2.24 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 2.04/2.24 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 2.04/2.24 0 [] subset(A,singleton(B))|A!=empty_set.
% 2.04/2.24 0 [] subset(A,singleton(B))|A!=singleton(B).
% 2.04/2.24 0 [] set_difference(A,empty_set)=A.
% 2.04/2.24 0 [] -element(A,powerset(B))|subset(A,B).
% 2.04/2.24 0 [] element(A,powerset(B))| -subset(A,B).
% 2.04/2.24 0 [] disjoint(A,B)|in($f27(A,B),A).
% 2.04/2.24 0 [] disjoint(A,B)|in($f27(A,B),B).
% 2.04/2.24 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 2.04/2.24 0 [] -subset(A,empty_set)|A=empty_set.
% 2.04/2.24 0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 2.04/2.24 0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 2.04/2.24 0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 2.04/2.24 0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 2.04/2.24 0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 2.04/2.24 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 2.04/2.24 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)).
% 2.04/2.24 0 [] element($c3,powerset(powerset($c4))).
% 2.04/2.24 0 [] $c3!=empty_set.
% 2.04/2.24 0 [] union_of_subsets($c4,complements_of_subsets($c4,$c3))!=subset_difference($c4,cast_to_subset($c4),meet_of_subsets($c4,$c3)).
% 2.04/2.24 0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 2.04/2.24 0 [] set_difference(empty_set,A)=empty_set.
% 2.04/2.24 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.04/2.24 0 [] disjoint(A,B)|in($f28(A,B),set_intersection2(A,B)).
% 2.04/2.24 0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 2.04/2.24 0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 2.04/2.24 0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 2.04/2.24 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.04/2.24 0 [] -subset(A,B)| -proper_subset(B,A).
% 2.04/2.24 0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 2.04/2.24 0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 2.04/2.24 0 [] set_difference(A,singleton(B))=A|in(B,A).
% 2.04/2.24 0 [] unordered_pair(A,A)=singleton(A).
% 2.04/2.24 0 [] -empty(A)|A=empty_set.
% 2.04/2.24 0 [] -subset(singleton(A),singleton(B))|A=B.
% 2.04/2.24 0 [] -in(A,B)| -empty(B).
% 2.04/2.24 0 [] subset(A,set_union2(A,B)).
% 2.04/2.24 0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 2.04/2.24 0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 2.04/2.24 0 [] -empty(A)|A=B| -empty(B).
% 2.04/2.24 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 2.04/2.24 0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 2.04/2.24 0 [] -in(A,B)|subset(A,union(B)).
% 2.04/2.24 0 [] union(powerset(A))=A.
% 2.04/2.24 0 [] in(A,$f30(A)).
% 2.04/2.24 0 [] -in(C,$f30(A))| -subset(D,C)|in(D,$f30(A)).
% 2.04/2.24 0 [] -in(X7,$f30(A))|in($f29(A,X7),$f30(A)).
% 2.04/2.24 0 [] -in(X7,$f30(A))| -subset(E,X7)|in(E,$f29(A,X7)).
% 2.04/2.24 0 [] -subset(X8,$f30(A))|are_e_quipotent(X8,$f30(A))|in(X8,$f30(A)).
% 2.04/2.24 0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 2.04/2.24 end_of_list.
% 2.04/2.24
% 2.04/2.24 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.04/2.24
% 2.04/2.24 This ia a non-Horn set with equality. The strategy will be
% 2.04/2.24 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.04/2.24 deletion, with positive clauses in sos and nonpositive
% 2.04/2.24 clauses in usable.
% 2.04/2.24
% 2.04/2.24 dependent: set(knuth_bendix).
% 2.04/2.24 dependent: set(anl_eq).
% 2.04/2.24 dependent: set(para_from).
% 2.04/2.24 dependent: set(para_into).
% 2.04/2.24 dependent: clear(para_from_right).
% 2.04/2.24 dependent: clear(para_into_right).
% 2.04/2.24 dependent: set(para_from_vars).
% 2.04/2.24 dependent: set(eq_units_both_ways).
% 2.04/2.24 dependent: set(dynamic_demod_all).
% 2.04/2.24 dependent: set(dynamic_demod).
% 2.04/2.24 dependent: set(order_eq).
% 2.04/2.24 dependent: set(back_demod).
% 2.04/2.24 dependent: set(lrpo).
% 2.04/2.24 dependent: set(hyper_res).
% 2.04/2.24 dependent: set(unit_deletion).
% 2.04/2.24 dependent: set(factor).
% 2.04/2.24
% 2.04/2.24 ------------> process usable:
% 2.04/2.24 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.04/2.24 ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 2.04/2.24 ** KEPT (pick-wt=6): 3 [] A!=B|subset(A,B).
% 2.04/2.24 ** KEPT (pick-wt=6): 4 [] A!=B|subset(B,A).
% 2.04/2.24 ** KEPT (pick-wt=9): 5 [] A=B| -subset(A,B)| -subset(B,A).
% 2.04/2.24 ** KEPT (pick-wt=16): 6 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 2.04/2.24 ** KEPT (pick-wt=16): 7 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f1(A,B,C),A).
% 2.04/2.24 ** KEPT (pick-wt=16): 8 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f1(A,B,C)).
% 2.04/2.24 ** KEPT (pick-wt=20): 9 [] A=empty_set|B=set_meet(A)|in($f3(A,B),B)| -in(C,A)|in($f3(A,B),C).
% 2.04/2.24 ** KEPT (pick-wt=17): 10 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)|in($f2(A,B),A).
% 2.04/2.24 ** KEPT (pick-wt=19): 11 [] A=empty_set|B=set_meet(A)| -in($f3(A,B),B)| -in($f3(A,B),$f2(A,B)).
% 2.04/2.24 ** KEPT (pick-wt=10): 12 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 2.04/2.24 ** KEPT (pick-wt=10): 13 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 2.04/2.24 ** KEPT (pick-wt=10): 14 [] A!=singleton(B)| -in(C,A)|C=B.
% 2.04/2.24 ** KEPT (pick-wt=10): 15 [] A!=singleton(B)|in(C,A)|C!=B.
% 2.04/2.24 ** KEPT (pick-wt=14): 16 [] A=singleton(B)| -in($f4(B,A),A)|$f4(B,A)!=B.
% 2.04/2.24 ** KEPT (pick-wt=6): 17 [] A!=empty_set| -in(B,A).
% 2.04/2.24 ** KEPT (pick-wt=10): 18 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 2.04/2.24 ** KEPT (pick-wt=10): 19 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 2.04/2.24 ** KEPT (pick-wt=14): 20 [] A=powerset(B)| -in($f6(B,A),A)| -subset($f6(B,A),B).
% 2.04/2.24 ** KEPT (pick-wt=8): 21 [] empty(A)| -element(B,A)|in(B,A).
% 2.04/2.24 ** KEPT (pick-wt=8): 22 [] empty(A)|element(B,A)| -in(B,A).
% 2.04/2.24 ** KEPT (pick-wt=7): 23 [] -empty(A)| -element(B,A)|empty(B).
% 2.04/2.24 ** KEPT (pick-wt=7): 24 [] -empty(A)|element(B,A)| -empty(B).
% 2.04/2.24 ** KEPT (pick-wt=14): 25 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 2.04/2.24 ** KEPT (pick-wt=11): 26 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 2.04/2.24 ** KEPT (pick-wt=11): 27 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 2.04/2.24 ** KEPT (pick-wt=17): 28 [] A=unordered_pair(B,C)| -in($f7(B,C,A),A)|$f7(B,C,A)!=B.
% 2.04/2.24 ** KEPT (pick-wt=17): 29 [] A=unordered_pair(B,C)| -in($f7(B,C,A),A)|$f7(B,C,A)!=C.
% 2.04/2.24 ** KEPT (pick-wt=14): 30 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 2.04/2.24 ** KEPT (pick-wt=11): 31 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 2.04/2.24 ** KEPT (pick-wt=11): 32 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 2.04/2.24 ** KEPT (pick-wt=17): 33 [] A=set_union2(B,C)| -in($f8(B,C,A),A)| -in($f8(B,C,A),B).
% 2.04/2.24 ** KEPT (pick-wt=17): 34 [] A=set_union2(B,C)| -in($f8(B,C,A),A)| -in($f8(B,C,A),C).
% 2.04/2.24 ** KEPT (pick-wt=15): 35 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f10(B,C,A,D),B).
% 2.04/2.24 ** KEPT (pick-wt=15): 36 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f9(B,C,A,D),C).
% 2.04/2.24 ** KEPT (pick-wt=21): 38 [copy,37,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f10(B,C,A,D),$f9(B,C,A,D))=D.
% 2.04/2.24 ** KEPT (pick-wt=19): 39 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 2.04/2.24 ** KEPT (pick-wt=25): 40 [] A=cartesian_product2(B,C)| -in($f13(B,C,A),A)| -in(D,B)| -in(E,C)|$f13(B,C,A)!=ordered_pair(D,E).
% 2.04/2.24 ** KEPT (pick-wt=9): 41 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.04/2.24 ** KEPT (pick-wt=8): 42 [] subset(A,B)| -in($f14(A,B),B).
% 2.04/2.24 ** KEPT (pick-wt=11): 43 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 2.04/2.24 ** KEPT (pick-wt=11): 44 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 2.04/2.24 ** KEPT (pick-wt=14): 45 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 2.04/2.25 ** KEPT (pick-wt=23): 46 [] A=set_intersection2(B,C)| -in($f15(B,C,A),A)| -in($f15(B,C,A),B)| -in($f15(B,C,A),C).
% 2.04/2.25 ** KEPT (pick-wt=13): 47 [] A!=union(B)| -in(C,A)|in(C,$f16(B,A,C)).
% 2.04/2.25 ** KEPT (pick-wt=13): 48 [] A!=union(B)| -in(C,A)|in($f16(B,A,C),B).
% 2.04/2.25 ** KEPT (pick-wt=13): 49 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 2.04/2.25 ** KEPT (pick-wt=17): 50 [] A=union(B)| -in($f18(B,A),A)| -in($f18(B,A),C)| -in(C,B).
% 2.04/2.25 ** KEPT (pick-wt=11): 51 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 2.04/2.25 ** KEPT (pick-wt=11): 52 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 2.04/2.25 ** KEPT (pick-wt=14): 53 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 2.04/2.25 ** KEPT (pick-wt=17): 54 [] A=set_difference(B,C)|in($f19(B,C,A),A)| -in($f19(B,C,A),C).
% 2.04/2.25 ** KEPT (pick-wt=23): 55 [] A=set_difference(B,C)| -in($f19(B,C,A),A)| -in($f19(B,C,A),B)|in($f19(B,C,A),C).
% 2.04/2.25 ** KEPT (pick-wt=11): 56 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 2.04/2.25 ** KEPT (pick-wt=8): 57 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 2.04/2.25 ** KEPT (pick-wt=8): 58 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 2.04/2.25 ** KEPT (pick-wt=27): 59 [] -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).
% 2.04/2.25 ** KEPT (pick-wt=27): 60 [] -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).
% 2.04/2.25 ** KEPT (pick-wt=22): 61 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f20(B,A,C),powerset(B)).
% 2.04/2.25 ** KEPT (pick-wt=29): 62 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f20(B,A,C),C)|in(subset_complement(B,$f20(B,A,C)),A).
% 2.04/2.25 ** KEPT (pick-wt=29): 63 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f20(B,A,C),C)| -in(subset_complement(B,$f20(B,A,C)),A).
% 2.04/2.25 ** KEPT (pick-wt=6): 64 [] -proper_subset(A,B)|subset(A,B).
% 2.04/2.25 ** KEPT (pick-wt=6): 65 [] -proper_subset(A,B)|A!=B.
% 2.04/2.25 ** KEPT (pick-wt=9): 66 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 2.04/2.25 ** KEPT (pick-wt=10): 67 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 2.04/2.25 ** KEPT (pick-wt=11): 68 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 2.04/2.25 ** KEPT (pick-wt=11): 69 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 2.04/2.25 ** KEPT (pick-wt=15): 70 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 2.04/2.25 ** KEPT (pick-wt=12): 71 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 2.04/2.25 ** KEPT (pick-wt=3): 72 [] -empty(powerset(A)).
% 2.04/2.25 ** KEPT (pick-wt=4): 73 [] -empty(ordered_pair(A,B)).
% 2.04/2.25 ** KEPT (pick-wt=6): 74 [] empty(A)| -empty(set_union2(A,B)).
% 2.04/2.25 ** KEPT (pick-wt=6): 75 [] empty(A)| -empty(set_union2(B,A)).
% 2.04/2.25 ** KEPT (pick-wt=11): 76 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 2.04/2.25 ** KEPT (pick-wt=12): 77 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 2.04/2.25 ** KEPT (pick-wt=3): 78 [] -proper_subset(A,A).
% 2.04/2.25 ** KEPT (pick-wt=4): 79 [] singleton(A)!=empty_set.
% 2.04/2.25 ** KEPT (pick-wt=9): 80 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 2.04/2.25 ** KEPT (pick-wt=7): 81 [] -disjoint(singleton(A),B)| -in(A,B).
% 2.04/2.25 ** KEPT (pick-wt=7): 82 [] -subset(singleton(A),B)|in(A,B).
% 2.04/2.25 ** KEPT (pick-wt=7): 83 [] subset(singleton(A),B)| -in(A,B).
% 2.04/2.25 ** KEPT (pick-wt=8): 84 [] set_difference(A,B)!=empty_set|subset(A,B).
% 2.04/2.25 ** KEPT (pick-wt=8): 85 [] set_difference(A,B)=empty_set| -subset(A,B).
% 2.04/2.25 ** KEPT (pick-wt=10): 86 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 2.04/2.25 ** KEPT (pick-wt=12): 87 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 2.04/2.25 ** KEPT (pick-wt=11): 88 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 2.04/2.25 ** KEPT (pick-wt=7): 89 [] subset(A,singleton(B))|A!=empty_set.
% 2.04/2.25 Following clause subsumed by 3 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 2.04/2.25 ** KEPT (pick-wt=7): 90 [] -in(A,B)|subset(A,union(B)).
% 2.04/2.25 ** KEPT (pick-wt=10): 91 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.04/2.25 ** KEPT (pick-wt=10): 92 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.04/2.25 ** KEPT (pick-wt=13): 93 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.04/2.25 ** KEPT (pick-wt=9): 94 [] -in($f22(A,B),B)|element(A,powerset(B)).
% 2.04/2.25 ** KEPT (pick-wt=5): 95 [] empty(A)| -empty($f23(A)).
% 2.04/2.25 ** KEPT (pick-wt=2): 96 [] -empty($c2).
% 2.04/2.25 ** KEPT (pick-wt=11): 97 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 2.04/2.25 ** KEPT (pick-wt=11): 98 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 2.04/2.25 ** KEPT (pick-wt=16): 99 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 2.04/2.25 ** KEPT (pick-wt=6): 100 [] -disjoint(A,B)|disjoint(B,A).
% 2.04/2.25 Following clause subsumed by 91 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 2.04/2.25 Following clause subsumed by 92 during input processing: 0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 2.04/2.25 Following clause subsumed by 93 during input processing: 0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 2.04/2.25 ** KEPT (pick-wt=13): 101 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 2.04/2.25 ** KEPT (pick-wt=10): 102 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=10): 103 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 2.04/2.25 ** KEPT (pick-wt=13): 104 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 2.04/2.25 ** KEPT (pick-wt=8): 105 [] -subset(A,B)|set_union2(A,B)=B.
% 2.04/2.25 ** KEPT (pick-wt=11): 106 [] -in(A,$f25(B))| -subset(C,A)|in(C,$f25(B)).
% 2.04/2.25 ** KEPT (pick-wt=9): 107 [] -in(A,$f25(B))|in(powerset(A),$f25(B)).
% 2.04/2.25 ** KEPT (pick-wt=12): 108 [] -subset(A,$f25(B))|are_e_quipotent(A,$f25(B))|in(A,$f25(B)).
% 2.04/2.25 ** KEPT (pick-wt=11): 109 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=6): 110 [] -in(A,B)|element(A,B).
% 2.04/2.25 ** KEPT (pick-wt=9): 111 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 2.04/2.25 ** KEPT (pick-wt=10): 112 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=8): 113 [] -subset(A,B)|set_intersection2(A,B)=A.
% 2.04/2.25 Following clause subsumed by 21 during input processing: 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.04/2.25 ** KEPT (pick-wt=13): 114 [] -in($f26(A,B),A)| -in($f26(A,B),B)|A=B.
% 2.04/2.25 ** KEPT (pick-wt=10): 115 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=10): 116 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 2.04/2.25 ** KEPT (pick-wt=10): 117 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 2.04/2.25 Following clause subsumed by 84 during input processing: 0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 2.04/2.25 Following clause subsumed by 85 during input processing: 0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 2.04/2.25 Following clause subsumed by 82 during input processing: 0 [] -subset(singleton(A),B)|in(A,B).
% 2.04/2.25 Following clause subsumed by 83 during input processing: 0 [] subset(singleton(A),B)| -in(A,B).
% 2.04/2.25 ** KEPT (pick-wt=8): 118 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 2.04/2.25 ** KEPT (pick-wt=8): 119 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 2.04/2.25 ** KEPT (pick-wt=11): 120 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 2.04/2.25 Following clause subsumed by 88 during input processing: 0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 2.04/2.25 Following clause subsumed by 89 during input processing: 0 [] subset(A,singleton(B))|A!=empty_set.
% 2.04/2.25 Following clause subsumed by 3 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 2.04/2.25 ** KEPT (pick-wt=7): 121 [] -element(A,powerset(B))|subset(A,B).
% 2.04/2.25 ** KEPT (pick-wt=7): 122 [] element(A,powerset(B))| -subset(A,B).
% 2.04/2.25 ** KEPT (pick-wt=9): 123 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 2.04/2.25 ** KEPT (pick-wt=6): 124 [] -subset(A,empty_set)|A=empty_set.
% 2.04/2.25 ** KEPT (pick-wt=16): 125 [] -element(A,powerset(B))| -element(C,powerset(B))| -disjoint(A,C)|subset(A,subset_complement(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=16): 126 [] -element(A,powerset(B))| -element(C,powerset(B))|disjoint(A,C)| -subset(A,subset_complement(B,C)).
% 2.04/2.25 ** KEPT (pick-wt=10): 128 [copy,127,flip.2] -subset(A,B)|set_union2(A,set_difference(B,A))=B.
% 2.04/2.25 ** KEPT (pick-wt=13): 129 [] -element(A,powerset(powerset(B)))|A=empty_set|complements_of_subsets(B,A)!=empty_set.
% 2.04/2.25 Following clause subsumed by 80 during input processing: 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 2.04/2.25 ** KEPT (pick-wt=21): 130 [] -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)).
% 2.04/2.25 ** KEPT (pick-wt=3): 132 [copy,131,flip.1] empty_set!=$c3.
% 2.04/2.25 ** KEPT (pick-wt=13): 134 [copy,133,flip.1] subset_difference($c4,cast_to_subset($c4),meet_of_subsets($c4,$c3))!=union_of_subsets($c4,complements_of_subsets($c4,$c3)).
% 2.04/2.25 ** KEPT (pick-wt=10): 135 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.04/2.25 ** KEPT (pick-wt=8): 136 [] -in(A,set_intersection2(B,C))| -disjoint(B,C).
% 2.04/2.25 ** KEPT (pick-wt=18): 137 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 2.04/2.25 ** KEPT (pick-wt=12): 138 [] -element(A,powerset(B))| -in(C,subset_complement(B,A))| -in(C,A).
% 2.04/2.25 ** KEPT (pick-wt=9): 139 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.04/2.25 ** KEPT (pick-wt=6): 140 [] -subset(A,B)| -proper_subset(B,A).
% 2.04/2.25 ** KEPT (pick-wt=9): 141 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 2.04/2.25 ** KEPT (pick-wt=9): 142 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 2.04/2.25 ** KEPT (pick-wt=5): 143 [] -empty(A)|A=empty_set.
% 2.04/2.25 ** KEPT (pick-wt=8): 144 [] -subset(singleton(A),singleton(B))|A=B.
% 2.04/2.25 ** KEPT (pick-wt=5): 145 [] -in(A,B)| -empty(B).
% 2.04/2.25 ** KEPT (pick-wt=8): 146 [] -disjoint(A,B)|set_difference(A,B)=A.
% 2.04/2.25 ** KEPT (pick-wt=8): 147 [] disjoint(A,B)|set_difference(A,B)!=A.
% 2.04/2.25 ** KEPT (pick-wt=7): 148 [] -empty(A)|A=B| -empty(B).
% 2.04/2.25 ** KEPT (pick-wt=11): 149 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 2.04/2.25 ** KEPT (pick-wt=9): 150 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 2.04/2.25 Following clause subsumed by 90 during input processing: 0 [] -in(A,B)|subset(A,union(B)).
% 2.04/2.25 ** KEPT (pick-wt=11): 151 [] -in(A,$f30(B))| -subset(C,A)|in(C,$f30(B)).
% 2.04/2.25 ** KEPT (pick-wt=10): 152 [] -in(A,$f30(B))|in($f29(B,A),$f30(B)).
% 2.04/2.25 ** KEPT (pick-wt=12): 153 [] -in(A,$f30(B))| -subset(C,A)|in(C,$f29(B,A)).
% 2.04/2.25 ** KEPT (pick-wt=12): 154 [] -subset(A,$f30(B))|are_e_quipotent(A,$f30(B))|in(A,$f30(B)).
% 2.04/2.25 ** KEPT (pick-wt=9): 155 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 2.04/2.25 110 back subsumes 22.
% 2.04/2.25
% 2.04/2.25 ------------> process sos:
% 2.04/2.25 ** KEPT (pick-wt=3): 198 [] A=A.
% 2.04/2.25 ** KEPT (pick-wt=7): 199 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.04/2.25 ** KEPT (pick-wt=7): 200 [] set_union2(A,B)=set_union2(B,A).
% 2.04/2.25 ** KEPT (pick-wt=7): 201 [] set_intersection2(A,B)=set_intersection2(B,A).
% 2.04/2.25 ** KEPT (pick-wt=14): 202 [] A=singleton(B)|in($f4(B,A),A)|$f4(B,A)=B.
% 2.04/2.25 ** KEPT (pick-wt=7): 203 [] A=empty_set|in($f5(A),A).
% 2.04/2.25 ** KEPT (pick-wt=14): 204 [] A=powerset(B)|in($f6(B,A),A)|subset($f6(B,A),B).
% 2.04/2.25 ** KEPT (pick-wt=23): 205 [] A=unordered_pair(B,C)|in($f7(B,C,A),A)|$f7(B,C,A)=B|$f7(B,C,A)=C.
% 2.04/2.25 ** KEPT (pick-wt=23): 206 [] A=set_union2(B,C)|in($f8(B,C,A),A)|in($f8(B,C,A),B)|in($f8(B,C,A),C).
% 2.04/2.25 ** KEPT (pick-wt=17): 207 [] A=cartesian_product2(B,C)|in($f13(B,C,A),A)|in($f12(B,C,A),B).
% 2.04/2.25 ** KEPT (pick-wt=17): 208 [] A=cartesian_product2(B,C)|in($f13(B,C,A),A)|in($f11(B,C,A),C).
% 2.04/2.25 ** KEPT (pick-wt=25): 210 [copy,209,flip.3] A=cartesian_product2(B,C)|in($f13(B,C,A),A)|ordered_pair($f12(B,C,A),$f11(B,C,A))=$f13(B,C,A).
% 2.04/2.25 ** KEPT (pick-wt=8): 211 [] subset(A,B)|in($f14(A,B),A).
% 2.04/2.25 ** KEPT (pick-wt=17): 212 [] A=set_intersection2(B,C)|in($f15(B,C,A),A)|in($f15(B,C,A),B).
% 2.04/2.25 ** KEPT (pick-wt=17): 213 [] A=set_intersection2(B,C)|in($f15(B,C,A),A)|in($f15(B,C,A),C).
% 2.04/2.25 ** KEPT (pick-wt=4): 214 [] cast_to_subset(A)=A.
% 2.04/2.25 ---> New Demodulator: 215 [new_demod,214] cast_to_subset(A)=A.
% 2.04/2.25 ** KEPT (pick-wt=16): 216 [] A=union(B)|in($f18(B,A),A)|in($f18(B,A),$f17(B,A)).
% 2.04/2.25 ** KEPT (pick-wt=14): 217 [] A=union(B)|in($f18(B,A),A)|in($f17(B,A),B).
% 2.04/2.25 ** KEPT (pick-wt=17): 218 [] A=set_difference(B,C)|in($f19(B,C,A),A)|in($f19(B,C,A),B).
% 2.04/2.25 ** KEPT (pick-wt=10): 220 [copy,219,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.04/2.25 ---> New Demodulator: 221 [new_demod,220] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.04/2.25 ** KEPT (pick-wt=4): 223 [copy,222,demod,215] element(A,powerset(A)).
% 2.04/2.25 ** KEPT (pick-wt=4): 224 [] element($f21(A),A).
% 2.04/2.25 ** KEPT (pick-wt=2): 225 [] empty(empty_set).
% 2.04/2.25 ** KEPT (pick-wt=5): 226 [] set_union2(A,A)=A.
% 2.04/2.25 ---> New Demodulator: 227 [new_demod,226] set_union2(A,A)=A.
% 2.04/2.25 ** KEPT (pick-wt=5): 228 [] set_intersection2(A,A)=A.
% 2.04/2.25 ---> New Demodulator: 229 [new_demod,228] set_intersection2(A,A)=A.
% 2.04/2.25 ** KEPT (pick-wt=7): 230 [] in(A,B)|disjoint(singleton(A),B).
% 2.04/2.25 ** KEPT (pick-wt=9): 231 [] in($f22(A,B),A)|element(A,powerset(B)).
% 2.04/2.25 ** KEPT (pick-wt=7): 232 [] empty(A)|element($f23(A),powerset(A)).
% 2.04/2.25 ** KEPT (pick-wt=2): 233 [] empty($c1).
% 2.04/2.25 ** KEPT (pick-wt=5): 234 [] element($f24(A),powerset(A)).
% 2.04/2.25 ** KEPT (pick-wt=3): 235 [] empty($f24(A)).
% 2.04/2.25 ** KEPT (pick-wt=3): 236 [] subset(A,A).
% 2.04/2.25 ** KEPT (pick-wt=4): 237 [] in(A,$f25(A)).
% 2.04/2.25 ** KEPT (pick-wt=5): 238 [] subset(set_intersection2(A,B),A).
% 2.04/2.25 ** KEPT (pick-wt=5): 239 [] set_union2(A,empty_set)=A.
% 2.04/2.25 ---> New Demodulator: 240 [new_demod,239] set_union2(A,empty_set)=A.
% 2.04/2.25 ** KEPT (pick-wt=5): 242 [copy,241,flip.1] singleton(empty_set)=powerset(empty_set).
% 2.04/2.25 ---> New Demodulator: 243 [new_demod,242] singleton(empty_set)=powerset(empty_set).
% 2.04/2.25 ** KEPT (pick-wt=5): 244 [] set_intersection2(A,empty_set)=empty_set.
% 2.04/2.25 ---> New Demodulator: 245 [new_demod,244] set_intersection2(A,empty_set)=empty_set.
% 2.04/2.25 ** KEPT (pick-wt=13): 246 [] in($f26(A,B),A)|in($f26(A,B),B)|A=B.
% 2.04/2.25 ** KEPT (pick-wt=3): 247 [] subset(empty_set,A).
% 2.04/2.25 ** KEPT (pick-wt=5): 248 [] subset(set_difference(A,B),A).
% 2.04/2.25 ** KEPT (pick-wt=9): 249 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 2.04/2.25 ---> New Demodulator: 250 [new_demod,249] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 2.04/2.25 ** KEPT (pick-wt=5): 251 [] set_difference(A,empty_set)=A.
% 2.04/2.25 ---> New Demodulator: 252 [new_demod,251] set_difference(A,empty_set)=A.
% 2.04/2.25 ** KEPT (pick-wt=8): 253 [] disjoint(A,B)|in($f27(A,B),A).
% 2.04/2.25 ** KEPT (pick-wt=8): 254 [] disjoint(A,B)|in($f27(A,B),B).
% 2.04/2.25 ** KEPT (pick-wt=9): 255 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 2.04/2.25 ---> New Demodulator: 256 [new_demod,255] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 2.04/2.25 ** KEPT (pick-wt=5): 257 [] element($c3,powerset(powerset($c4))).
% 2.04/2.25 ** KEPT (pick-wt=9): 259 [copy,258,flip.1] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 2.04/2.25 ---> New Demodulator: 260 [new_demod,259] set_intersection2(A,B)=set_difference(A,set_difference(A,B)).
% 2.04/2.25 ** KEPT (pick-wt=5): 261 [] set_difference(empty_set,A)=empty_set.
% 2.04/2.25 ---> New Demodulator: 262 [new_demod,261] set_difference(empty_set,A)=empty_set.
% 2.04/2.25 ** KEPT (pick-wt=12): 264 [copy,263,demod,260] disjoint(A,B)|in($f28(A,B),set_difference(A,set_difference(A,B))).
% 2.04/2.25 ** KEPT (pick-wt=9): 265 [] set_difference(A,singleton(B))=A|in(B,A).
% 2.04/2.25 ** KEPT (pick-wt=6): 267 [copy,266,flip.1] singleton(A)=unordered_pair(A,A).
% 2.04/2.25 ---> New Demodulator: 268 [new_demod,267] singleton(A)=unordered_pair(A,A).
% 2.04/2.25 ** KEPT (pick-wt=5): 269 [] subset(A,set_union2(A,B)).
% 2.04/2.25 ** KEPT (pick-wt=5): 270 [] union(powerset(A))=A.
% 2.04/2.25 ---> New Demodulator: 271 [new_demod,270] union(powerset(A))=A.
% 2.04/2.25 ** KEPT (pick-wt=4): 272 [] in(A,$f30(A)).
% 2.04/2.25 Following clause subsumed by 198 during input processing: 0 [copy,198,flip.1] A=A.
% 2.04/2.25 198 back subsumes 194.
% 2.04/2.25 198 back subsumes 189.
% 2.04/2.25 198 back subsumes 157.
% 2.04/2.25 Following clause subsumed by 199 during input processing: 0 [copy,199,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 2.04/2.25 Following clause subsumed by 200 during input processing: 0 [copy,200,flip.1] set_union2(A,B)=set_union2(B,A).
% 2.04/2.25 ** KEPT (pick-wt=11): 273 [copy,201,flip.1,demod,260,260] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 2.04/2.25 >>>> Starting back demodulation with 215.
% 2.04/2.25 >> back demodulating 134 with 215.
% 2.04/2.25 >> back demodulating 130 with 215.
% 2.04/2.25 >>>> Starting back demodulation with 221.
% 2.04/2.25 >>>> Starting back demodulation with 227.
% 2.04/2.25 >> back demodulating 195 with 227.
% 2.04/2.25 >> back demodulating 163 with 227.
% 2.04/2.25 >>>> Starting back demodulation with 229.
% 2.04/2.25 >> back demodulating 197 with 229.
% 2.04/2.25 >> back demodulating 188 with 229.
% 2.04/2.25 >> back demodulating 173 with 229.
% 11.87/12.03 >> back demodulating 170 with 229.
% 11.87/12.03 >>>> Starting back demodulation with 240.
% 11.87/12.03 >>>> Starting back demodulation with 243.
% 11.87/12.03 >>>> Starting back demodulation with 245.
% 11.87/12.03 >>>> Starting back demodulation with 250.
% 11.87/12.03 >> back demodulating 128 with 250.
% 11.87/12.03 >>>> Starting back demodulation with 252.
% 11.87/12.03 >>>> Starting back demodulation with 256.
% 11.87/12.03 >>>> Starting back demodulation with 260.
% 11.87/12.03 >> back demodulating 244 with 260.
% 11.87/12.03 >> back demodulating 238 with 260.
% 11.87/12.03 >> back demodulating 228 with 260.
% 11.87/12.03 >> back demodulating 213 with 260.
% 11.87/12.03 >> back demodulating 212 with 260.
% 11.87/12.03 >> back demodulating 201 with 260.
% 11.87/12.03 >> back demodulating 172 with 260.
% 11.87/12.03 >> back demodulating 171 with 260.
% 11.87/12.03 >> back demodulating 136 with 260.
% 11.87/12.03 >> back demodulating 113 with 260.
% 11.87/12.03 >> back demodulating 112 with 260.
% 11.87/12.03 >> back demodulating 109 with 260.
% 11.87/12.03 >> back demodulating 58 with 260.
% 11.87/12.03 >> back demodulating 57 with 260.
% 11.87/12.03 >> back demodulating 46 with 260.
% 11.87/12.03 >> back demodulating 45 with 260.
% 11.87/12.03 >> back demodulating 44 with 260.
% 11.87/12.03 >> back demodulating 43 with 260.
% 11.87/12.03 >>>> Starting back demodulation with 262.
% 11.87/12.03 >>>> Starting back demodulation with 268.
% 11.87/12.03 >> back demodulating 265 with 268.
% 11.87/12.03 >> back demodulating 242 with 268.
% 11.87/12.03 >> back demodulating 230 with 268.
% 11.87/12.03 >> back demodulating 220 with 268.
% 11.87/12.03 >> back demodulating 202 with 268.
% 11.87/12.03 >> back demodulating 155 with 268.
% 11.87/12.03 >> back demodulating 150 with 268.
% 11.87/12.03 >> back demodulating 144 with 268.
% 11.87/12.03 >> back demodulating 142 with 268.
% 11.87/12.03 >> back demodulating 89 with 268.
% 11.87/12.03 >> back demodulating 88 with 268.
% 11.87/12.03 >> back demodulating 87 with 268.
% 11.87/12.03 >> back demodulating 83 with 268.
% 11.87/12.03 >> back demodulating 82 with 268.
% 11.87/12.03 >> back demodulating 81 with 268.
% 11.87/12.03 >> back demodulating 80 with 268.
% 11.87/12.03 >> back demodulating 79 with 268.
% 11.87/12.03 >> back demodulating 16 with 268.
% 11.87/12.03 >> back demodulating 15 with 268.
% 11.87/12.03 >> back demodulating 14 with 268.
% 11.87/12.03 >>>> Starting back demodulation with 271.
% 11.87/12.03 Following clause subsumed by 273 during input processing: 0 [copy,273,flip.1] set_difference(A,set_difference(A,B))=set_difference(B,set_difference(B,A)).
% 11.87/12.03 >>>> Starting back demodulation with 287.
% 11.87/12.03 >> back demodulating 185 with 287.
% 11.87/12.03 >>>> Starting back demodulation with 303.
% 11.87/12.03 >>>> Starting back demodulation with 306.
% 11.87/12.03
% 11.87/12.03 ======= end of input processing =======
% 11.87/12.03
% 11.87/12.03 =========== start of search ===========
% 11.87/12.03
% 11.87/12.03
% 11.87/12.03 Resetting weight limit to 5.
% 11.87/12.03
% 11.87/12.03
% 11.87/12.03 Resetting weight limit to 5.
% 11.87/12.03
% 11.87/12.03 sos_size=379
% 11.87/12.03
% 11.87/12.03 Search stopped because sos empty.
% 11.87/12.03
% 11.87/12.03
% 11.87/12.03 Search stopped because sos empty.
% 11.87/12.03
% 11.87/12.03 ============ end of search ============
% 11.87/12.03
% 11.87/12.03 -------------- statistics -------------
% 11.87/12.03 clauses given 464
% 11.87/12.03 clauses generated 911787
% 11.87/12.03 clauses kept 848
% 11.87/12.03 clauses forward subsumed 6479
% 11.87/12.03 clauses back subsumed 121
% 11.87/12.03 Kbytes malloced 6835
% 11.87/12.03
% 11.87/12.03 ----------- times (seconds) -----------
% 11.87/12.03 user CPU time 9.79 (0 hr, 0 min, 9 sec)
% 11.87/12.03 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 11.87/12.03 wall-clock time 12 (0 hr, 0 min, 12 sec)
% 11.87/12.03
% 11.87/12.03 Process 25374 finished Wed Jul 27 07:56:56 2022
% 11.87/12.03 Otter interrupted
% 11.87/12.03 PROOF NOT FOUND
%------------------------------------------------------------------------------