TSTP Solution File: SEU093+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU093+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:14:45 EDT 2022
% Result : Unknown 89.51s 89.70s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU093+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 08:06:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.21/2.38 ----- Otter 3.3f, August 2004 -----
% 2.21/2.38 The process was started by sandbox2 on n027.cluster.edu,
% 2.21/2.38 Wed Jul 27 08:06:36 2022
% 2.21/2.38 The command was "./otter". The process ID is 5683.
% 2.21/2.38
% 2.21/2.38 set(prolog_style_variables).
% 2.21/2.38 set(auto).
% 2.21/2.38 dependent: set(auto1).
% 2.21/2.38 dependent: set(process_input).
% 2.21/2.38 dependent: clear(print_kept).
% 2.21/2.38 dependent: clear(print_new_demod).
% 2.21/2.38 dependent: clear(print_back_demod).
% 2.21/2.38 dependent: clear(print_back_sub).
% 2.21/2.38 dependent: set(control_memory).
% 2.21/2.38 dependent: assign(max_mem, 12000).
% 2.21/2.38 dependent: assign(pick_given_ratio, 4).
% 2.21/2.38 dependent: assign(stats_level, 1).
% 2.21/2.38 dependent: assign(max_seconds, 10800).
% 2.21/2.38 clear(print_given).
% 2.21/2.38
% 2.21/2.38 formula_list(usable).
% 2.21/2.38 all A (A=A).
% 2.21/2.38 all A B (in(A,B)-> -in(B,A)).
% 2.21/2.38 all A (ordinal(A)-> (all B (element(B,A)->epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)))).
% 2.21/2.38 all A (empty(A)->finite(A)).
% 2.21/2.38 all A (empty(A)->function(A)).
% 2.21/2.38 all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.21/2.38 all A (empty(A)->relation(A)).
% 2.21/2.38 all A (empty(A)&ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.21/2.38 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.21/2.38 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.21/2.38 all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.21/2.38 all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.38 all A (element(A,positive_rationals)-> (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A))).
% 2.21/2.38 all A B (set_union2(A,B)=set_union2(B,A)).
% 2.21/2.38 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 2.21/2.38 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 2.21/2.38 all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 2.21/2.38 all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 2.21/2.38 all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 2.21/2.38 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)))))))).
% 2.21/2.38 all A exists B element(B,A).
% 2.21/2.38 all A B (finite(A)->finite(set_difference(A,B))).
% 2.21/2.38 empty(empty_set).
% 2.21/2.38 relation(empty_set).
% 2.21/2.38 relation_empty_yielding(empty_set).
% 2.21/2.38 all A B (relation(A)&function(A)&finite(B)->finite(relation_image(A,B))).
% 2.21/2.38 all A (-empty(singleton(A))&finite(singleton(A))).
% 2.21/2.38 all A (-empty(powerset(A))).
% 2.21/2.38 empty(empty_set).
% 2.21/2.38 relation(empty_set).
% 2.21/2.38 relation_empty_yielding(empty_set).
% 2.21/2.38 function(empty_set).
% 2.21/2.38 one_to_one(empty_set).
% 2.21/2.38 empty(empty_set).
% 2.21/2.38 epsilon_transitive(empty_set).
% 2.21/2.38 epsilon_connected(empty_set).
% 2.21/2.38 ordinal(empty_set).
% 2.21/2.38 all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 2.21/2.38 all A (-empty(singleton(A))).
% 2.21/2.38 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 2.21/2.38 all A B (relation(A)&function(A)&transfinite_se_quence(A)&ordinal_yielding(A)&ordinal(B)->epsilon_transitive(apply(A,B))&epsilon_connected(apply(A,B))&ordinal(apply(A,B))).
% 2.21/2.38 all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 2.21/2.38 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 2.21/2.38 all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 2.21/2.38 empty(empty_set).
% 2.21/2.38 relation(empty_set).
% 2.21/2.38 all A (relation(A)&function(A)&transfinite_se_quence(A)->epsilon_transitive(relation_dom(A))&epsilon_connected(relation_dom(A))&ordinal(relation_dom(A))).
% 2.21/2.38 all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.21/2.38 all A (relation(A)&relation_non_empty(A)&function(A)->with_non_empty_elements(relation_rng(A))).
% 2.21/2.38 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.21/2.38 all A B (relation(A)&function(A)&function_yielding(A)->relation(apply(A,B))&function(apply(A,B))).
% 2.21/2.38 all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.21/2.38 -empty(positive_rationals).
% 2.21/2.38 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.21/2.38 all A B (finite(A)&finite(B)->finite(set_union2(A,B))).
% 2.21/2.38 all A B (set_union2(A,A)=A).
% 2.21/2.38 all A (finite(A)& (all B (in(B,A)->finite(B)))->finite(union(A))).
% 2.21/2.38 all A B (finite(A)&finite(B)->finite(set_union2(A,B))).
% 2.21/2.38 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.21/2.38 exists A (-empty(A)&finite(A)).
% 2.21/2.38 exists A (relation(A)&function(A)&function_yielding(A)).
% 2.21/2.38 exists A (relation(A)&function(A)).
% 2.21/2.38 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.38 exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&being_limit_ordinal(A)).
% 2.21/2.38 exists A (empty(A)&relation(A)).
% 2.21/2.38 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.21/2.38 exists A empty(A).
% 2.21/2.38 exists A (element(A,positive_rationals)& -empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.38 all A exists B (element(B,powerset(A))&empty(B)&relation(B)&function(B)&one_to_one(B)&epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)&natural(B)&finite(B)).
% 2.21/2.38 exists A (relation(A)&empty(A)&function(A)).
% 2.21/2.38 exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.38 exists A (relation(A)&function(A)&transfinite_se_quence(A)&ordinal_yielding(A)).
% 2.21/2.38 exists A (-empty(A)&relation(A)).
% 2.21/2.38 all A exists B (element(B,powerset(A))&empty(B)).
% 2.21/2.38 exists A (-empty(A)).
% 2.21/2.38 exists A (element(A,positive_rationals)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.21/2.38 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.21/2.38 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.21/2.38 exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.21/2.38 exists A (relation(A)&relation_empty_yielding(A)).
% 2.21/2.38 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 2.21/2.38 exists A (relation(A)&function(A)&transfinite_se_quence(A)).
% 2.21/2.38 exists A (relation(A)&relation_non_empty(A)&function(A)).
% 2.21/2.38 all A B subset(A,A).
% 2.21/2.38 all A exists B all C (in(C,B)<->in(C,powerset(A))& (exists D (D=C&finite(powerset(D))))).
% 2.21/2.38 all A exists B all C (in(C,B)<->in(C,powerset(A))& (exists D (C=singleton(D)))).
% 2.21/2.38 all A B (finite(A)&in(empty_set,B)& (all C D (in(C,A)&subset(D,A)&in(D,B)->in(set_union2(D,singleton(C)),B)))->in(A,B)).
% 2.21/2.38 all A B ((all C D E (in(C,powerset(B))& (exists F (F=C&D=set_union2(F,singleton(A))))& (exists G (G=C&E=set_union2(G,singleton(A))))->D=E))& (all C (-(in(C,powerset(B))& (all D (-(exists H (H=C&D=set_union2(H,singleton(A)))))))))-> (exists C (relation(C)&function(C)&relation_dom(C)=powerset(B)& (all D (in(D,powerset(B))-> (exists I (I=D&apply(C,D)=set_union2(I,singleton(A))))))))).
% 2.21/2.38 all A B (subset(A,B)->set_union2(A,B)=B).
% 2.21/2.38 all A B (subset(A,B)&finite(B)->finite(A)).
% 2.21/2.38 all A B C D (subset(A,B)&subset(C,D)->subset(set_union2(A,C),set_union2(B,D))).
% 2.21/2.38 all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 2.21/2.38 all A B (relation(B)&function(B)-> (finite(A)->finite(relation_image(B,A)))).
% 2.21/2.38 all A (set_union2(A,empty_set)=A).
% 2.21/2.38 all A B (in(A,B)->element(A,B)).
% 2.21/2.38 powerset(empty_set)=singleton(empty_set).
% 2.21/2.38 -(all A (finite(A)<->finite(powerset(A)))).
% 2.21/2.38 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.21/2.38 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 2.21/2.38 all A subset(empty_set,A).
% 2.21/2.38 all A B (subset(singleton(A),B)<->in(A,B)).
% 2.21/2.38 all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 2.21/2.38 all A (set_difference(A,empty_set)=A).
% 2.21/2.38 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.21/2.38 all A B C (subset(A,set_union2(B,C))->subset(set_difference(A,B),C)).
% 2.21/2.38 all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 2.21/2.38 all A (set_difference(empty_set,A)=empty_set).
% 2.21/2.38 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.21/2.38 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.21/2.38 all A (empty(A)->A=empty_set).
% 2.21/2.38 all A B (subset(A,B)->subset(powerset(A),powerset(B))).
% 2.21/2.38 all A B (-(in(A,B)&empty(B))).
% 2.21/2.38 all A B subset(A,set_union2(A,B)).
% 2.21/2.38 all A B (-(empty(A)&A!=B&empty(B))).
% 2.21/2.38 all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 2.21/2.38 end_of_list.
% 2.21/2.38
% 2.21/2.38 -------> usable clausifies to:
% 2.21/2.38
% 2.21/2.38 list(usable).
% 2.21/2.38 0 [] A=A.
% 2.21/2.38 0 [] -in(A,B)| -in(B,A).
% 2.21/2.38 0 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 2.21/2.38 0 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 2.21/2.38 0 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 2.21/2.38 0 [] -empty(A)|finite(A).
% 2.21/2.38 0 [] -empty(A)|function(A).
% 2.21/2.38 0 [] -ordinal(A)|epsilon_transitive(A).
% 2.21/2.38 0 [] -ordinal(A)|epsilon_connected(A).
% 2.21/2.38 0 [] -empty(A)|relation(A).
% 2.21/2.38 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 2.21/2.38 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 2.21/2.38 0 [] -empty(A)| -ordinal(A)|natural(A).
% 2.21/2.38 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.21/2.38 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.21/2.38 0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.21/2.38 0 [] -empty(A)|epsilon_transitive(A).
% 2.21/2.38 0 [] -empty(A)|epsilon_connected(A).
% 2.21/2.38 0 [] -empty(A)|ordinal(A).
% 2.21/2.38 0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_transitive(A).
% 2.21/2.38 0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_connected(A).
% 2.21/2.38 0 [] -element(A,positive_rationals)| -ordinal(A)|natural(A).
% 2.21/2.38 0 [] set_union2(A,B)=set_union2(B,A).
% 2.21/2.38 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 2.21/2.38 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 2.21/2.38 0 [] B=singleton(A)|in($f1(A,B),B)|$f1(A,B)=A.
% 2.21/2.38 0 [] B=singleton(A)| -in($f1(A,B),B)|$f1(A,B)!=A.
% 2.21/2.38 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 2.21/2.38 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 2.21/2.38 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 2.21/2.38 0 [] C=set_union2(A,B)|in($f2(A,B,C),C)|in($f2(A,B,C),A)|in($f2(A,B,C),B).
% 2.21/2.38 0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),A).
% 2.21/2.38 0 [] C=set_union2(A,B)| -in($f2(A,B,C),C)| -in($f2(A,B,C),B).
% 2.21/2.38 0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.21/2.38 0 [] subset(A,B)|in($f3(A,B),A).
% 2.21/2.38 0 [] subset(A,B)| -in($f3(A,B),B).
% 2.21/2.38 0 [] B!=union(A)| -in(C,B)|in(C,$f4(A,B,C)).
% 2.21/2.38 0 [] B!=union(A)| -in(C,B)|in($f4(A,B,C),A).
% 2.21/2.38 0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 2.21/2.38 0 [] B=union(A)|in($f6(A,B),B)|in($f6(A,B),$f5(A,B)).
% 2.21/2.38 0 [] B=union(A)|in($f6(A,B),B)|in($f5(A,B),A).
% 2.21/2.38 0 [] B=union(A)| -in($f6(A,B),B)| -in($f6(A,B),X1)| -in(X1,A).
% 2.21/2.38 0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 2.21/2.38 0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 2.21/2.38 0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 2.21/2.38 0 [] C=set_difference(A,B)|in($f7(A,B,C),C)|in($f7(A,B,C),A).
% 2.21/2.38 0 [] C=set_difference(A,B)|in($f7(A,B,C),C)| -in($f7(A,B,C),B).
% 2.21/2.38 0 [] C=set_difference(A,B)| -in($f7(A,B,C),C)| -in($f7(A,B,C),A)|in($f7(A,B,C),B).
% 2.21/2.38 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f8(A,B,C),relation_dom(A)).
% 2.21/2.38 0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f8(A,B,C)).
% 2.21/2.38 0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.21/2.38 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|in($f9(A,B),relation_dom(A)).
% 2.21/2.38 0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|$f10(A,B)=apply(A,$f9(A,B)).
% 2.21/2.38 0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f10(A,B),B)| -in(X2,relation_dom(A))|$f10(A,B)!=apply(A,X2).
% 2.21/2.38 0 [] element($f11(A),A).
% 2.21/2.38 0 [] -finite(A)|finite(set_difference(A,B)).
% 2.21/2.38 0 [] empty(empty_set).
% 2.21/2.38 0 [] relation(empty_set).
% 2.21/2.38 0 [] relation_empty_yielding(empty_set).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -finite(B)|finite(relation_image(A,B)).
% 2.21/2.38 0 [] -empty(singleton(A)).
% 2.21/2.38 0 [] finite(singleton(A)).
% 2.21/2.38 0 [] -empty(powerset(A)).
% 2.21/2.38 0 [] empty(empty_set).
% 2.21/2.38 0 [] relation(empty_set).
% 2.21/2.38 0 [] relation_empty_yielding(empty_set).
% 2.21/2.38 0 [] function(empty_set).
% 2.21/2.38 0 [] one_to_one(empty_set).
% 2.21/2.38 0 [] empty(empty_set).
% 2.21/2.38 0 [] epsilon_transitive(empty_set).
% 2.21/2.38 0 [] epsilon_connected(empty_set).
% 2.21/2.38 0 [] ordinal(empty_set).
% 2.21/2.38 0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 2.21/2.38 0 [] -empty(singleton(A)).
% 2.21/2.38 0 [] empty(A)| -empty(set_union2(A,B)).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -transfinite_se_quence(A)| -ordinal_yielding(A)| -ordinal(B)|epsilon_transitive(apply(A,B)).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -transfinite_se_quence(A)| -ordinal_yielding(A)| -ordinal(B)|epsilon_connected(apply(A,B)).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -transfinite_se_quence(A)| -ordinal_yielding(A)| -ordinal(B)|ordinal(apply(A,B)).
% 2.21/2.38 0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 2.21/2.38 0 [] empty(A)| -empty(set_union2(B,A)).
% 2.21/2.38 0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 2.21/2.38 0 [] -ordinal(A)|epsilon_connected(union(A)).
% 2.21/2.38 0 [] -ordinal(A)|ordinal(union(A)).
% 2.21/2.38 0 [] empty(empty_set).
% 2.21/2.38 0 [] relation(empty_set).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -transfinite_se_quence(A)|epsilon_transitive(relation_dom(A)).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -transfinite_se_quence(A)|epsilon_connected(relation_dom(A)).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -transfinite_se_quence(A)|ordinal(relation_dom(A)).
% 2.21/2.38 0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.21/2.38 0 [] -relation(A)| -relation_non_empty(A)| -function(A)|with_non_empty_elements(relation_rng(A)).
% 2.21/2.38 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -function_yielding(A)|relation(apply(A,B)).
% 2.21/2.38 0 [] -relation(A)| -function(A)| -function_yielding(A)|function(apply(A,B)).
% 2.21/2.38 0 [] -empty(A)|empty(relation_dom(A)).
% 2.21/2.38 0 [] -empty(A)|relation(relation_dom(A)).
% 2.21/2.38 0 [] -empty(positive_rationals).
% 2.21/2.38 0 [] -empty(A)|empty(relation_rng(A)).
% 2.21/2.38 0 [] -empty(A)|relation(relation_rng(A)).
% 2.21/2.38 0 [] -finite(A)| -finite(B)|finite(set_union2(A,B)).
% 2.21/2.38 0 [] set_union2(A,A)=A.
% 2.21/2.38 0 [] -finite(A)|in($f12(A),A)|finite(union(A)).
% 2.21/2.38 0 [] -finite(A)| -finite($f12(A))|finite(union(A)).
% 2.21/2.38 0 [] -finite(A)| -finite(B)|finite(set_union2(A,B)).
% 2.21/2.38 0 [] -empty($c1).
% 2.21/2.38 0 [] epsilon_transitive($c1).
% 2.21/2.38 0 [] epsilon_connected($c1).
% 2.21/2.38 0 [] ordinal($c1).
% 2.21/2.38 0 [] natural($c1).
% 2.21/2.38 0 [] -empty($c2).
% 2.21/2.38 0 [] finite($c2).
% 2.21/2.38 0 [] relation($c3).
% 2.21/2.38 0 [] function($c3).
% 2.21/2.38 0 [] function_yielding($c3).
% 2.21/2.38 0 [] relation($c4).
% 2.21/2.38 0 [] function($c4).
% 2.21/2.38 0 [] epsilon_transitive($c5).
% 2.21/2.38 0 [] epsilon_connected($c5).
% 2.21/2.38 0 [] ordinal($c5).
% 2.21/2.38 0 [] epsilon_transitive($c6).
% 2.21/2.38 0 [] epsilon_connected($c6).
% 2.21/2.38 0 [] ordinal($c6).
% 2.21/2.38 0 [] being_limit_ordinal($c6).
% 2.21/2.38 0 [] empty($c7).
% 2.21/2.38 0 [] relation($c7).
% 2.21/2.38 0 [] empty(A)|element($f13(A),powerset(A)).
% 2.21/2.38 0 [] empty(A)| -empty($f13(A)).
% 2.21/2.38 0 [] empty($c8).
% 2.21/2.38 0 [] element($c9,positive_rationals).
% 2.21/2.38 0 [] -empty($c9).
% 2.21/2.38 0 [] epsilon_transitive($c9).
% 2.21/2.38 0 [] epsilon_connected($c9).
% 2.21/2.38 0 [] ordinal($c9).
% 2.21/2.38 0 [] element($f14(A),powerset(A)).
% 2.21/2.38 0 [] empty($f14(A)).
% 2.21/2.38 0 [] relation($f14(A)).
% 2.21/2.38 0 [] function($f14(A)).
% 2.21/2.38 0 [] one_to_one($f14(A)).
% 2.21/2.38 0 [] epsilon_transitive($f14(A)).
% 2.21/2.38 0 [] epsilon_connected($f14(A)).
% 2.21/2.38 0 [] ordinal($f14(A)).
% 2.21/2.38 0 [] natural($f14(A)).
% 2.21/2.38 0 [] finite($f14(A)).
% 2.21/2.38 0 [] relation($c10).
% 2.21/2.38 0 [] empty($c10).
% 2.21/2.38 0 [] function($c10).
% 2.21/2.38 0 [] relation($c11).
% 2.21/2.38 0 [] function($c11).
% 2.21/2.38 0 [] one_to_one($c11).
% 2.21/2.38 0 [] empty($c11).
% 2.21/2.38 0 [] epsilon_transitive($c11).
% 2.21/2.38 0 [] epsilon_connected($c11).
% 2.21/2.38 0 [] ordinal($c11).
% 2.21/2.38 0 [] relation($c12).
% 2.21/2.38 0 [] function($c12).
% 2.21/2.38 0 [] transfinite_se_quence($c12).
% 2.21/2.38 0 [] ordinal_yielding($c12).
% 2.21/2.38 0 [] -empty($c13).
% 2.21/2.38 0 [] relation($c13).
% 2.21/2.38 0 [] element($f15(A),powerset(A)).
% 2.21/2.38 0 [] empty($f15(A)).
% 2.21/2.38 0 [] -empty($c14).
% 2.21/2.38 0 [] element($c15,positive_rationals).
% 2.21/2.38 0 [] empty($c15).
% 2.21/2.38 0 [] epsilon_transitive($c15).
% 2.21/2.38 0 [] epsilon_connected($c15).
% 2.21/2.38 0 [] ordinal($c15).
% 2.21/2.38 0 [] natural($c15).
% 2.21/2.38 0 [] empty(A)|element($f16(A),powerset(A)).
% 2.21/2.38 0 [] empty(A)| -empty($f16(A)).
% 2.21/2.38 0 [] empty(A)|finite($f16(A)).
% 2.21/2.38 0 [] relation($c16).
% 2.21/2.38 0 [] function($c16).
% 2.21/2.38 0 [] one_to_one($c16).
% 2.21/2.38 0 [] -empty($c17).
% 2.21/2.38 0 [] epsilon_transitive($c17).
% 2.21/2.38 0 [] epsilon_connected($c17).
% 2.21/2.38 0 [] ordinal($c17).
% 2.21/2.38 0 [] relation($c18).
% 2.21/2.38 0 [] relation_empty_yielding($c18).
% 2.21/2.38 0 [] relation($c19).
% 2.21/2.38 0 [] relation_empty_yielding($c19).
% 2.21/2.38 0 [] function($c19).
% 2.21/2.38 0 [] relation($c20).
% 2.21/2.38 0 [] function($c20).
% 2.21/2.38 0 [] transfinite_se_quence($c20).
% 2.21/2.38 0 [] relation($c21).
% 2.21/2.38 0 [] relation_non_empty($c21).
% 2.21/2.38 0 [] function($c21).
% 2.21/2.38 0 [] subset(A,A).
% 2.21/2.38 0 [] -in(C,$f18(A))|in(C,powerset(A)).
% 2.21/2.38 0 [] -in(C,$f18(A))|$f17(A,C)=C.
% 2.21/2.38 0 [] -in(C,$f18(A))|finite(powerset($f17(A,C))).
% 2.21/2.38 0 [] in(C,$f18(A))| -in(C,powerset(A))|D!=C| -finite(powerset(D)).
% 2.21/2.38 0 [] -in(C,$f20(A))|in(C,powerset(A)).
% 2.21/2.38 0 [] -in(C,$f20(A))|C=singleton($f19(A,C)).
% 2.21/2.38 0 [] in(C,$f20(A))| -in(C,powerset(A))|C!=singleton(D).
% 2.21/2.38 0 [] -finite(A)| -in(empty_set,B)|in($f22(A,B),A)|in(A,B).
% 2.21/2.38 0 [] -finite(A)| -in(empty_set,B)|subset($f21(A,B),A)|in(A,B).
% 2.21/2.38 0 [] -finite(A)| -in(empty_set,B)|in($f21(A,B),B)|in(A,B).
% 2.21/2.38 0 [] -finite(A)| -in(empty_set,B)| -in(set_union2($f21(A,B),singleton($f22(A,B))),B)|in(A,B).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation($f30(A,B)).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|function($f30(A,B)).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] in($f27(A,B),powerset(B))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|function($f30(A,B)).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f23(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|function($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f26(A,B)=set_union2($f23(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|function($f30(A,B)).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f24(A,B)=$f27(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|function($f30(A,B)).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f25(A,B)=set_union2($f24(A,B),singleton(A))|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|function($f30(A,B)).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|$f29(A,B,X3)=X3.
% 2.21/2.38 0 [] $f26(A,B)!=$f25(A,B)|H!=$f28(A,B)|D!=set_union2(H,singleton(A))| -in(X3,powerset(B))|apply($f30(A,B),X3)=set_union2($f29(A,B,X3),singleton(A)).
% 2.21/2.38 0 [] -subset(A,B)|set_union2(A,B)=B.
% 2.21/2.38 0 [] -subset(A,B)| -finite(B)|finite(A).
% 2.21/2.38 0 [] -subset(A,B)| -subset(C,D)|subset(set_union2(A,C),set_union2(B,D)).
% 2.21/2.38 0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 2.21/2.38 0 [] -relation(B)| -function(B)| -finite(A)|finite(relation_image(B,A)).
% 2.21/2.38 0 [] set_union2(A,empty_set)=A.
% 2.21/2.38 0 [] -in(A,B)|element(A,B).
% 2.21/2.38 0 [] powerset(empty_set)=singleton(empty_set).
% 2.21/2.38 0 [] finite($c22)|finite(powerset($c22)).
% 2.21/2.38 0 [] -finite($c22)| -finite(powerset($c22)).
% 2.21/2.38 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.21/2.38 0 [] in($f31(A,B),A)|in($f31(A,B),B)|A=B.
% 2.21/2.38 0 [] -in($f31(A,B),A)| -in($f31(A,B),B)|A=B.
% 2.21/2.38 0 [] subset(empty_set,A).
% 2.21/2.38 0 [] -subset(singleton(A),B)|in(A,B).
% 2.21/2.38 0 [] subset(singleton(A),B)| -in(A,B).
% 2.21/2.38 0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 2.21/2.38 0 [] set_difference(A,empty_set)=A.
% 2.21/2.38 0 [] -element(A,powerset(B))|subset(A,B).
% 2.21/2.38 0 [] element(A,powerset(B))| -subset(A,B).
% 2.21/2.38 0 [] -subset(A,set_union2(B,C))|subset(set_difference(A,B),C).
% 2.21/2.38 0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 2.21/2.38 0 [] set_difference(empty_set,A)=empty_set.
% 2.21/2.38 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.21/2.38 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.21/2.38 0 [] -empty(A)|A=empty_set.
% 2.21/2.38 0 [] -subset(A,B)|subset(powerset(A),powerset(B)).
% 2.21/2.38 0 [] -in(A,B)| -empty(B).
% 2.21/2.38 0 [] subset(A,set_union2(A,B)).
% 2.21/2.38 0 [] -empty(A)|A=B| -empty(B).
% 2.21/2.38 0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 2.21/2.38 end_of_list.
% 2.21/2.38
% 2.21/2.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.21/2.38
% 2.21/2.38 This ia a non-Horn set with equality. The strategy will be
% 2.21/2.38 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.21/2.38 deletion, with positive clauses in sos and nonpositive
% 2.21/2.38 clauses in usable.
% 2.21/2.38
% 2.21/2.38 dependent: set(knuth_bendix).
% 2.21/2.38 dependent: set(anl_eq).
% 2.21/2.38 dependent: set(para_from).
% 2.21/2.38 dependent: set(para_into).
% 2.21/2.38 dependent: clear(para_from_right).
% 2.21/2.38 dependent: clear(para_into_right).
% 2.21/2.38 dependent: set(para_from_vars).
% 2.21/2.38 dependent: set(eq_units_both_ways).
% 2.21/2.38 dependent: set(dynamic_demod_all).
% 2.21/2.38 dependent: set(dynamic_demod).
% 2.21/2.38 dependent: set(order_eq).
% 2.21/2.38 dependent: set(back_demod).
% 2.21/2.38 dependent: set(lrpo).
% 2.21/2.38 dependent: set(hyper_res).
% 2.21/2.38 dependent: set(unit_deletion).
% 2.21/2.38 dependent: set(factor).
% 2.21/2.38
% 2.21/2.38 ------------> process usable:
% 2.21/2.38 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.21/2.38 ** KEPT (pick-wt=7): 2 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 2.21/2.38 ** KEPT (pick-wt=7): 3 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 2.21/2.38 ** KEPT (pick-wt=7): 4 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 2.21/2.39 ** KEPT (pick-wt=4): 5 [] -empty(A)|finite(A).
% 2.21/2.39 ** KEPT (pick-wt=4): 6 [] -empty(A)|function(A).
% 2.21/2.39 ** KEPT (pick-wt=4): 7 [] -ordinal(A)|epsilon_transitive(A).
% 2.21/2.39 ** KEPT (pick-wt=4): 8 [] -ordinal(A)|epsilon_connected(A).
% 2.21/2.39 ** KEPT (pick-wt=4): 9 [] -empty(A)|relation(A).
% 2.21/2.39 Following clause subsumed by 7 during input processing: 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 2.21/2.39 Following clause subsumed by 8 during input processing: 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 2.21/2.39 ** KEPT (pick-wt=6): 10 [] -empty(A)| -ordinal(A)|natural(A).
% 2.21/2.39 ** KEPT (pick-wt=8): 11 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.21/2.39 ** KEPT (pick-wt=8): 12 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.21/2.39 ** KEPT (pick-wt=6): 13 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.21/2.39 ** KEPT (pick-wt=4): 14 [] -empty(A)|epsilon_transitive(A).
% 2.21/2.39 ** KEPT (pick-wt=4): 15 [] -empty(A)|epsilon_connected(A).
% 2.21/2.39 ** KEPT (pick-wt=4): 16 [] -empty(A)|ordinal(A).
% 2.21/2.39 Following clause subsumed by 7 during input processing: 0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_transitive(A).
% 2.21/2.39 Following clause subsumed by 8 during input processing: 0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_connected(A).
% 2.21/2.39 ** KEPT (pick-wt=7): 17 [] -element(A,positive_rationals)| -ordinal(A)|natural(A).
% 2.21/2.39 ** KEPT (pick-wt=10): 18 [] A!=singleton(B)| -in(C,A)|C=B.
% 2.21/2.39 ** KEPT (pick-wt=10): 19 [] A!=singleton(B)|in(C,A)|C!=B.
% 2.21/2.39 ** KEPT (pick-wt=14): 20 [] A=singleton(B)| -in($f1(B,A),A)|$f1(B,A)!=B.
% 2.21/2.39 ** KEPT (pick-wt=14): 21 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 2.21/2.39 ** KEPT (pick-wt=11): 22 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 2.21/2.39 ** KEPT (pick-wt=11): 23 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 2.21/2.39 ** KEPT (pick-wt=17): 24 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),B).
% 2.21/2.39 ** KEPT (pick-wt=17): 25 [] A=set_union2(B,C)| -in($f2(B,C,A),A)| -in($f2(B,C,A),C).
% 2.21/2.39 ** KEPT (pick-wt=9): 26 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.21/2.39 ** KEPT (pick-wt=8): 27 [] subset(A,B)| -in($f3(A,B),B).
% 2.21/2.39 ** KEPT (pick-wt=13): 28 [] A!=union(B)| -in(C,A)|in(C,$f4(B,A,C)).
% 2.21/2.39 ** KEPT (pick-wt=13): 29 [] A!=union(B)| -in(C,A)|in($f4(B,A,C),B).
% 2.21/2.39 ** KEPT (pick-wt=13): 30 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 2.21/2.39 ** KEPT (pick-wt=17): 31 [] A=union(B)| -in($f6(B,A),A)| -in($f6(B,A),C)| -in(C,B).
% 2.21/2.39 ** KEPT (pick-wt=11): 32 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 2.21/2.39 ** KEPT (pick-wt=11): 33 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 2.21/2.39 ** KEPT (pick-wt=14): 34 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 2.21/2.39 ** KEPT (pick-wt=17): 35 [] A=set_difference(B,C)|in($f7(B,C,A),A)| -in($f7(B,C,A),C).
% 2.21/2.39 ** KEPT (pick-wt=23): 36 [] A=set_difference(B,C)| -in($f7(B,C,A),A)| -in($f7(B,C,A),B)|in($f7(B,C,A),C).
% 2.21/2.39 ** KEPT (pick-wt=18): 37 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f8(A,B,C),relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=19): 39 [copy,38,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f8(A,B,C))=C.
% 2.21/2.39 ** KEPT (pick-wt=20): 40 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.21/2.39 ** KEPT (pick-wt=19): 41 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|in($f9(A,B),relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=22): 43 [copy,42,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|apply(A,$f9(A,B))=$f10(A,B).
% 2.21/2.39 ** KEPT (pick-wt=24): 44 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f10(A,B),B)| -in(C,relation_dom(A))|$f10(A,B)!=apply(A,C).
% 2.21/2.39 ** KEPT (pick-wt=6): 45 [] -finite(A)|finite(set_difference(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=10): 46 [] -relation(A)| -function(A)| -finite(B)|finite(relation_image(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=3): 47 [] -empty(singleton(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 48 [] -empty(powerset(A)).
% 2.21/2.39 ** KEPT (pick-wt=8): 49 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 2.21/2.39 Following clause subsumed by 47 during input processing: 0 [] -empty(singleton(A)).
% 2.21/2.39 ** KEPT (pick-wt=6): 50 [] empty(A)| -empty(set_union2(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=14): 51 [] -relation(A)| -function(A)| -transfinite_se_quence(A)| -ordinal_yielding(A)| -ordinal(B)|epsilon_transitive(apply(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=14): 52 [] -relation(A)| -function(A)| -transfinite_se_quence(A)| -ordinal_yielding(A)| -ordinal(B)|epsilon_connected(apply(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=14): 53 [] -relation(A)| -function(A)| -transfinite_se_quence(A)| -ordinal_yielding(A)| -ordinal(B)|ordinal(apply(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=8): 54 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=6): 55 [] empty(A)| -empty(set_union2(B,A)).
% 2.21/2.39 ** KEPT (pick-wt=5): 56 [] -ordinal(A)|epsilon_transitive(union(A)).
% 2.21/2.39 ** KEPT (pick-wt=5): 57 [] -ordinal(A)|epsilon_connected(union(A)).
% 2.21/2.39 ** KEPT (pick-wt=5): 58 [] -ordinal(A)|ordinal(union(A)).
% 2.21/2.39 ** KEPT (pick-wt=9): 59 [] -relation(A)| -function(A)| -transfinite_se_quence(A)|epsilon_transitive(relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=9): 60 [] -relation(A)| -function(A)| -transfinite_se_quence(A)|epsilon_connected(relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=9): 61 [] -relation(A)| -function(A)| -transfinite_se_quence(A)|ordinal(relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=7): 62 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=9): 63 [] -relation(A)| -relation_non_empty(A)| -function(A)|with_non_empty_elements(relation_rng(A)).
% 2.21/2.39 ** KEPT (pick-wt=7): 64 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.21/2.39 ** KEPT (pick-wt=10): 65 [] -relation(A)| -function(A)| -function_yielding(A)|relation(apply(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=10): 66 [] -relation(A)| -function(A)| -function_yielding(A)|function(apply(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=5): 67 [] -empty(A)|empty(relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=5): 68 [] -empty(A)|relation(relation_dom(A)).
% 2.21/2.39 ** KEPT (pick-wt=2): 69 [] -empty(positive_rationals).
% 2.21/2.39 ** KEPT (pick-wt=5): 70 [] -empty(A)|empty(relation_rng(A)).
% 2.21/2.39 ** KEPT (pick-wt=5): 71 [] -empty(A)|relation(relation_rng(A)).
% 2.21/2.39 ** KEPT (pick-wt=8): 72 [] -finite(A)| -finite(B)|finite(set_union2(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=9): 73 [] -finite(A)|in($f12(A),A)|finite(union(A)).
% 2.21/2.39 ** KEPT (pick-wt=8): 74 [] -finite(A)| -finite($f12(A))|finite(union(A)).
% 2.21/2.39 Following clause subsumed by 72 during input processing: 0 [] -finite(A)| -finite(B)|finite(set_union2(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=2): 75 [] -empty($c1).
% 2.21/2.39 ** KEPT (pick-wt=2): 76 [] -empty($c2).
% 2.21/2.39 ** KEPT (pick-wt=5): 77 [] empty(A)| -empty($f13(A)).
% 2.21/2.39 ** KEPT (pick-wt=2): 78 [] -empty($c9).
% 2.21/2.39 ** KEPT (pick-wt=2): 79 [] -empty($c13).
% 2.21/2.39 ** KEPT (pick-wt=2): 80 [] -empty($c14).
% 2.21/2.39 ** KEPT (pick-wt=5): 81 [] empty(A)| -empty($f16(A)).
% 2.21/2.39 ** KEPT (pick-wt=2): 82 [] -empty($c17).
% 2.21/2.39 ** KEPT (pick-wt=8): 83 [] -in(A,$f18(B))|in(A,powerset(B)).
% 2.21/2.39 ** KEPT (pick-wt=9): 84 [] -in(A,$f18(B))|$f17(B,A)=A.
% 2.21/2.39 ** KEPT (pick-wt=9): 85 [] -in(A,$f18(B))|finite(powerset($f17(B,A))).
% 2.21/2.39 ** KEPT (pick-wt=14): 86 [] in(A,$f18(B))| -in(A,powerset(B))|C!=A| -finite(powerset(C)).
% 2.21/2.39 ** KEPT (pick-wt=8): 87 [] -in(A,$f20(B))|in(A,powerset(B)).
% 2.21/2.39 ** KEPT (pick-wt=10): 89 [copy,88,flip.2] -in(A,$f20(B))|singleton($f19(B,A))=A.
% 2.21/2.39 ** KEPT (pick-wt=12): 90 [] in(A,$f20(B))| -in(A,powerset(B))|A!=singleton(C).
% 2.21/2.39 ** KEPT (pick-wt=13): 91 [] -finite(A)| -in(empty_set,B)|in($f22(A,B),A)|in(A,B).
% 2.21/2.39 ** KEPT (pick-wt=13): 92 [] -finite(A)| -in(empty_set,B)|subset($f21(A,B),A)|in(A,B).
% 2.21/2.39 ** KEPT (pick-wt=13): 93 [] -finite(A)| -in(empty_set,B)|in($f21(A,B),B)|in(A,B).
% 2.21/2.39 ** KEPT (pick-wt=18): 94 [] -finite(A)| -in(empty_set,B)| -in(set_union2($f21(A,B),singleton($f22(A,B))),B)|in(A,B).
% 2.21/2.39 ** KEPT (pick-wt=22): 95 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))| -in(C,powerset(B))|$f29(A,B,C)=C.
% 2.21/2.39 ** KEPT (pick-wt=29): 97 [copy,96,flip.4] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))| -in(C,powerset(B))|set_union2($f29(A,B,C),singleton(A))=apply($f30(A,B),C).
% 2.21/2.39 ** KEPT (pick-wt=21): 98 [] in($f27(A,B),powerset(B))|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=21): 99 [] in($f27(A,B),powerset(B))|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=24): 100 [] in($f27(A,B),powerset(B))|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=27): 101 [] in($f27(A,B),powerset(B))|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|$f29(A,B,E)=E.
% 2.21/2.39 ** KEPT (pick-wt=34): 103 [copy,102,flip.5] in($f27(A,B),powerset(B))|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|set_union2($f29(A,B,E),singleton(A))=apply($f30(A,B),E).
% 2.21/2.39 ** KEPT (pick-wt=23): 105 [copy,104,flip.1] $f27(A,B)=$f23(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|$f29(A,B,C)=C.
% 2.21/2.39 ** KEPT (pick-wt=30): 107 [copy,106,flip.1,flip.4] $f27(A,B)=$f23(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|set_union2($f29(A,B,C),singleton(A))=apply($f30(A,B),C).
% 2.21/2.39 ** KEPT (pick-wt=22): 109 [copy,108,flip.1] $f27(A,B)=$f23(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=22): 111 [copy,110,flip.1] $f27(A,B)=$f23(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=25): 113 [copy,112,flip.1] $f27(A,B)=$f23(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=28): 115 [copy,114,flip.1] $f27(A,B)=$f23(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|$f29(A,B,E)=E.
% 2.21/2.39 ** KEPT (pick-wt=35): 117 [copy,116,flip.1,flip.5] $f27(A,B)=$f23(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|set_union2($f29(A,B,E),singleton(A))=apply($f30(A,B),E).
% 2.21/2.39 ** KEPT (pick-wt=26): 119 [copy,118,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|$f29(A,B,C)=C.
% 2.21/2.39 ** KEPT (pick-wt=33): 121 [copy,120,flip.1,flip.4] set_union2($f23(A,B),singleton(A))=$f26(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|set_union2($f29(A,B,C),singleton(A))=apply($f30(A,B),C).
% 2.21/2.39 ** KEPT (pick-wt=25): 123 [copy,122,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=25): 125 [copy,124,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=28): 127 [copy,126,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=31): 129 [copy,128,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|$f29(A,B,E)=E.
% 2.21/2.39 ** KEPT (pick-wt=38): 131 [copy,130,flip.1,flip.5] set_union2($f23(A,B),singleton(A))=$f26(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|set_union2($f29(A,B,E),singleton(A))=apply($f30(A,B),E).
% 2.21/2.39 ** KEPT (pick-wt=23): 133 [copy,132,flip.1] $f27(A,B)=$f24(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|$f29(A,B,C)=C.
% 2.21/2.39 ** KEPT (pick-wt=30): 135 [copy,134,flip.1,flip.4] $f27(A,B)=$f24(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|set_union2($f29(A,B,C),singleton(A))=apply($f30(A,B),C).
% 2.21/2.39 ** KEPT (pick-wt=22): 137 [copy,136,flip.1] $f27(A,B)=$f24(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=22): 139 [copy,138,flip.1] $f27(A,B)=$f24(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=25): 141 [copy,140,flip.1] $f27(A,B)=$f24(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=28): 143 [copy,142,flip.1] $f27(A,B)=$f24(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|$f29(A,B,E)=E.
% 2.21/2.39 ** KEPT (pick-wt=35): 145 [copy,144,flip.1,flip.5] $f27(A,B)=$f24(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|set_union2($f29(A,B,E),singleton(A))=apply($f30(A,B),E).
% 2.21/2.39 ** KEPT (pick-wt=26): 147 [copy,146,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|$f29(A,B,C)=C.
% 2.21/2.39 ** KEPT (pick-wt=33): 149 [copy,148,flip.1,flip.4] set_union2($f24(A,B),singleton(A))=$f25(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|set_union2($f29(A,B,C),singleton(A))=apply($f30(A,B),C).
% 2.21/2.39 ** KEPT (pick-wt=25): 151 [copy,150,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=25): 153 [copy,152,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=28): 155 [copy,154,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=31): 157 [copy,156,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|$f29(A,B,E)=E.
% 2.21/2.39 ** KEPT (pick-wt=38): 159 [copy,158,flip.1,flip.5] set_union2($f24(A,B),singleton(A))=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|set_union2($f29(A,B,E),singleton(A))=apply($f30(A,B),E).
% 2.21/2.39 ** KEPT (pick-wt=17): 160 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=17): 161 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=20): 162 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=23): 163 [] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|$f29(A,B,C)=C.
% 2.21/2.39 ** KEPT (pick-wt=30): 165 [copy,164,flip.4] $f26(A,B)!=$f25(A,B)|in($f28(A,B),powerset(B))| -in(C,powerset(B))|set_union2($f29(A,B,C),singleton(A))=apply($f30(A,B),C).
% 2.21/2.39 ** KEPT (pick-wt=22): 166 [] $f26(A,B)!=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=22): 167 [] $f26(A,B)!=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=25): 168 [] $f26(A,B)!=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=28): 169 [] $f26(A,B)!=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|$f29(A,B,E)=E.
% 2.21/2.39 ** KEPT (pick-wt=35): 171 [copy,170,flip.5] $f26(A,B)!=$f25(A,B)|C!=$f28(A,B)|D!=set_union2(C,singleton(A))| -in(E,powerset(B))|set_union2($f29(A,B,E),singleton(A))=apply($f30(A,B),E).
% 2.21/2.39 ** KEPT (pick-wt=8): 172 [] -subset(A,B)|set_union2(A,B)=B.
% 2.21/2.39 ** KEPT (pick-wt=7): 173 [] -subset(A,B)| -finite(B)|finite(A).
% 2.21/2.39 ** KEPT (pick-wt=13): 174 [] -subset(A,B)| -subset(C,D)|subset(set_union2(A,C),set_union2(B,D)).
% 2.21/2.39 ** KEPT (pick-wt=9): 176 [copy,175,flip.2] -relation(A)|relation_rng(A)=relation_image(A,relation_dom(A)).
% 2.21/2.39 Following clause subsumed by 46 during input processing: 0 [] -relation(A)| -function(A)| -finite(B)|finite(relation_image(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=6): 177 [] -in(A,B)|element(A,B).
% 2.21/2.39 ** KEPT (pick-wt=5): 178 [] -finite($c22)| -finite(powerset($c22)).
% 2.21/2.39 ** KEPT (pick-wt=8): 179 [] -element(A,B)|empty(B)|in(A,B).
% 2.21/2.39 ** KEPT (pick-wt=13): 180 [] -in($f31(A,B),A)| -in($f31(A,B),B)|A=B.
% 2.21/2.39 ** KEPT (pick-wt=7): 181 [] -subset(singleton(A),B)|in(A,B).
% 2.21/2.39 ** KEPT (pick-wt=7): 182 [] subset(singleton(A),B)| -in(A,B).
% 2.21/2.39 ** KEPT (pick-wt=7): 183 [] -element(A,powerset(B))|subset(A,B).
% 2.21/2.39 ** KEPT (pick-wt=7): 184 [] element(A,powerset(B))| -subset(A,B).
% 2.21/2.39 ** KEPT (pick-wt=10): 185 [] -subset(A,set_union2(B,C))|subset(set_difference(A,B),C).
% 2.21/2.39 ** KEPT (pick-wt=9): 186 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 2.21/2.39 ** KEPT (pick-wt=10): 187 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.21/2.39 ** KEPT (pick-wt=9): 188 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.21/2.39 ** KEPT (pick-wt=5): 189 [] -empty(A)|A=empty_set.
% 2.21/2.39 ** KEPT (pick-wt=8): 190 [] -subset(A,B)|subset(powerset(A),powerset(B)).
% 2.21/2.39 ** KEPT (pick-wt=5): 191 [] -in(A,B)| -empty(B).
% 2.21/2.39 ** KEPT (pick-wt=7): 192 [] -empty(A)|A=B| -empty(B).
% 2.21/2.39 ** KEPT (pick-wt=11): 193 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 2.21/2.39
% 2.21/2.39 ------------> process sos:
% 2.21/2.39 ** KEPT (pick-wt=3): 210 [] A=A.
% 2.21/2.39 ** KEPT (pick-wt=7): 211 [] set_union2(A,B)=set_union2(B,A).
% 2.21/2.39 ** KEPT (pick-wt=14): 212 [] A=singleton(B)|in($f1(B,A),A)|$f1(B,A)=B.
% 2.21/2.39 ** KEPT (pick-wt=23): 213 [] A=set_union2(B,C)|in($f2(B,C,A),A)|in($f2(B,C,A),B)|in($f2(B,C,A),C).
% 2.21/2.39 ** KEPT (pick-wt=8): 214 [] subset(A,B)|in($f3(A,B),A).
% 2.21/2.39 ** KEPT (pick-wt=16): 215 [] A=union(B)|in($f6(B,A),A)|in($f6(B,A),$f5(B,A)).
% 2.21/2.39 ** KEPT (pick-wt=14): 216 [] A=union(B)|in($f6(B,A),A)|in($f5(B,A),B).
% 2.21/2.39 ** KEPT (pick-wt=17): 217 [] A=set_difference(B,C)|in($f7(B,C,A),A)|in($f7(B,C,A),B).
% 2.21/2.39 ** KEPT (pick-wt=4): 218 [] element($f11(A),A).
% 2.21/2.39 ** KEPT (pick-wt=2): 219 [] empty(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=2): 220 [] relation(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=2): 221 [] relation_empty_yielding(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=3): 222 [] finite(singleton(A)).
% 2.21/2.39 Following clause subsumed by 219 during input processing: 0 [] empty(empty_set).
% 2.21/2.39 Following clause subsumed by 220 during input processing: 0 [] relation(empty_set).
% 2.21/2.39 Following clause subsumed by 221 during input processing: 0 [] relation_empty_yielding(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=2): 223 [] function(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=2): 224 [] one_to_one(empty_set).
% 2.21/2.39 Following clause subsumed by 219 during input processing: 0 [] empty(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=2): 225 [] epsilon_transitive(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=2): 226 [] epsilon_connected(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=2): 227 [] ordinal(empty_set).
% 2.21/2.39 Following clause subsumed by 219 during input processing: 0 [] empty(empty_set).
% 2.21/2.39 Following clause subsumed by 220 during input processing: 0 [] relation(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=5): 228 [] set_union2(A,A)=A.
% 2.21/2.39 ---> New Demodulator: 229 [new_demod,228] set_union2(A,A)=A.
% 2.21/2.39 ** KEPT (pick-wt=2): 230 [] epsilon_transitive($c1).
% 2.21/2.39 ** KEPT (pick-wt=2): 231 [] epsilon_connected($c1).
% 2.21/2.39 ** KEPT (pick-wt=2): 232 [] ordinal($c1).
% 2.21/2.39 ** KEPT (pick-wt=2): 233 [] natural($c1).
% 2.21/2.39 ** KEPT (pick-wt=2): 234 [] finite($c2).
% 2.21/2.39 ** KEPT (pick-wt=2): 235 [] relation($c3).
% 2.21/2.39 ** KEPT (pick-wt=2): 236 [] function($c3).
% 2.21/2.39 ** KEPT (pick-wt=2): 237 [] function_yielding($c3).
% 2.21/2.39 ** KEPT (pick-wt=2): 238 [] relation($c4).
% 2.21/2.39 ** KEPT (pick-wt=2): 239 [] function($c4).
% 2.21/2.39 ** KEPT (pick-wt=2): 240 [] epsilon_transitive($c5).
% 2.21/2.39 ** KEPT (pick-wt=2): 241 [] epsilon_connected($c5).
% 2.21/2.39 ** KEPT (pick-wt=2): 242 [] ordinal($c5).
% 2.21/2.39 ** KEPT (pick-wt=2): 243 [] epsilon_transitive($c6).
% 2.21/2.39 ** KEPT (pick-wt=2): 244 [] epsilon_connected($c6).
% 2.21/2.39 ** KEPT (pick-wt=2): 245 [] ordinal($c6).
% 2.21/2.39 ** KEPT (pick-wt=2): 246 [] being_limit_ordinal($c6).
% 2.21/2.39 ** KEPT (pick-wt=2): 247 [] empty($c7).
% 2.21/2.39 ** KEPT (pick-wt=2): 248 [] relation($c7).
% 2.21/2.39 ** KEPT (pick-wt=7): 249 [] empty(A)|element($f13(A),powerset(A)).
% 2.21/2.39 ** KEPT (pick-wt=2): 250 [] empty($c8).
% 2.21/2.39 ** KEPT (pick-wt=3): 251 [] element($c9,positive_rationals).
% 2.21/2.39 ** KEPT (pick-wt=2): 252 [] epsilon_transitive($c9).
% 2.21/2.39 ** KEPT (pick-wt=2): 253 [] epsilon_connected($c9).
% 2.21/2.39 ** KEPT (pick-wt=2): 254 [] ordinal($c9).
% 2.21/2.39 ** KEPT (pick-wt=5): 255 [] element($f14(A),powerset(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 256 [] empty($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 257 [] relation($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 258 [] function($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 259 [] one_to_one($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 260 [] epsilon_transitive($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 261 [] epsilon_connected($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 262 [] ordinal($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 263 [] natural($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 264 [] finite($f14(A)).
% 2.21/2.39 ** KEPT (pick-wt=2): 265 [] relation($c10).
% 2.21/2.39 ** KEPT (pick-wt=2): 266 [] empty($c10).
% 2.21/2.39 ** KEPT (pick-wt=2): 267 [] function($c10).
% 2.21/2.39 ** KEPT (pick-wt=2): 268 [] relation($c11).
% 2.21/2.39 ** KEPT (pick-wt=2): 269 [] function($c11).
% 2.21/2.39 ** KEPT (pick-wt=2): 270 [] one_to_one($c11).
% 2.21/2.39 ** KEPT (pick-wt=2): 271 [] empty($c11).
% 2.21/2.39 ** KEPT (pick-wt=2): 272 [] epsilon_transitive($c11).
% 2.21/2.39 ** KEPT (pick-wt=2): 273 [] epsilon_connected($c11).
% 2.21/2.39 ** KEPT (pick-wt=2): 274 [] ordinal($c11).
% 2.21/2.39 ** KEPT (pick-wt=2): 275 [] relation($c12).
% 2.21/2.39 ** KEPT (pick-wt=2): 276 [] function($c12).
% 2.21/2.39 ** KEPT (pick-wt=2): 277 [] transfinite_se_quence($c12).
% 2.21/2.39 ** KEPT (pick-wt=2): 278 [] ordinal_yielding($c12).
% 2.21/2.39 ** KEPT (pick-wt=2): 279 [] relation($c13).
% 2.21/2.39 ** KEPT (pick-wt=5): 280 [] element($f15(A),powerset(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 281 [] empty($f15(A)).
% 2.21/2.39 ** KEPT (pick-wt=3): 282 [] element($c15,positive_rationals).
% 2.21/2.39 ** KEPT (pick-wt=2): 283 [] empty($c15).
% 2.21/2.39 ** KEPT (pick-wt=2): 284 [] epsilon_transitive($c15).
% 2.21/2.39 ** KEPT (pick-wt=2): 285 [] epsilon_connected($c15).
% 2.21/2.39 ** KEPT (pick-wt=2): 286 [] ordinal($c15).
% 2.21/2.39 ** KEPT (pick-wt=2): 287 [] natural($c15).
% 2.21/2.39 ** KEPT (pick-wt=7): 288 [] empty(A)|element($f16(A),powerset(A)).
% 2.21/2.39 ** KEPT (pick-wt=5): 289 [] empty(A)|finite($f16(A)).
% 2.21/2.39 ** KEPT (pick-wt=2): 290 [] relation($c16).
% 2.21/2.39 ** KEPT (pick-wt=2): 291 [] function($c16).
% 2.21/2.39 ** KEPT (pick-wt=2): 292 [] one_to_one($c16).
% 2.21/2.39 ** KEPT (pick-wt=2): 293 [] epsilon_transitive($c17).
% 2.21/2.39 ** KEPT (pick-wt=2): 294 [] epsilon_connected($c17).
% 2.21/2.39 ** KEPT (pick-wt=2): 295 [] ordinal($c17).
% 2.21/2.39 ** KEPT (pick-wt=2): 296 [] relation($c18).
% 2.21/2.39 ** KEPT (pick-wt=2): 297 [] relation_empty_yielding($c18).
% 2.21/2.39 ** KEPT (pick-wt=2): 298 [] relation($c19).
% 2.21/2.39 ** KEPT (pick-wt=2): 299 [] relation_empty_yielding($c19).
% 2.21/2.39 ** KEPT (pick-wt=2): 300 [] function($c19).
% 2.21/2.39 ** KEPT (pick-wt=2): 301 [] relation($c20).
% 2.21/2.39 ** KEPT (pick-wt=2): 302 [] function($c20).
% 2.21/2.39 ** KEPT (pick-wt=2): 303 [] transfinite_se_quence($c20).
% 2.21/2.39 ** KEPT (pick-wt=2): 304 [] relation($c21).
% 2.21/2.39 ** KEPT (pick-wt=2): 305 [] relation_non_empty($c21).
% 2.21/2.39 ** KEPT (pick-wt=2): 306 [] function($c21).
% 2.21/2.39 ** KEPT (pick-wt=3): 307 [] subset(A,A).
% 2.21/2.39 ** KEPT (pick-wt=16): 308 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=16): 309 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=19): 310 [] in($f27(A,B),powerset(B))|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=17): 312 [copy,311,flip.1] $f27(A,B)=$f23(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=17): 314 [copy,313,flip.1] $f27(A,B)=$f23(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=20): 316 [copy,315,flip.1] $f27(A,B)=$f23(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=20): 318 [copy,317,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=20): 320 [copy,319,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=23): 322 [copy,321,flip.1] set_union2($f23(A,B),singleton(A))=$f26(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=17): 324 [copy,323,flip.1] $f27(A,B)=$f24(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=17): 326 [copy,325,flip.1] $f27(A,B)=$f24(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=20): 328 [copy,327,flip.1] $f27(A,B)=$f24(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=20): 330 [copy,329,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|in($f28(A,B),powerset(B))|relation($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=20): 332 [copy,331,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|in($f28(A,B),powerset(B))|function($f30(A,B)).
% 2.21/2.39 ** KEPT (pick-wt=23): 334 [copy,333,flip.1] set_union2($f24(A,B),singleton(A))=$f25(A,B)|in($f28(A,B),powerset(B))|relation_dom($f30(A,B))=powerset(B).
% 2.21/2.39 ** KEPT (pick-wt=5): 335 [] set_union2(A,empty_set)=A.
% 2.21/2.39 ---> New Demodulator: 336 [new_demod,335] set_union2(A,empty_set)=A.
% 2.21/2.39 ** KEPT (pick-wt=5): 338 [copy,337,flip.1] singleton(empty_set)=powerset(empty_set).
% 2.21/2.39 ---> New Demodulator: 339 [new_demod,338] singleton(empty_set)=powerset(empty_set).
% 2.21/2.39 ** KEPT (pick-wt=5): 340 [] finite($c22)|finite(powerset($c22)).
% 2.21/2.39 ** KEPT (pick-wt=13): 341 [] in($f31(A,B),A)|in($f31(A,B),B)|A=B.
% 2.21/2.39 ** KEPT (pick-wt=3): 342 [] subset(empty_set,A).
% 2.21/2.39 ** KEPT (pick-wt=9): 343 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 2.21/2.39 ---> New Demodulator: 344 [new_demod,343] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 2.21/2.39 ** KEPT (pick-wt=5): 345 [] set_difference(A,empty_set)=A.
% 2.21/2.39 ---> New Demodulator: 346 [new_demod,345] set_difference(A,empty_set)=A.
% 2.21/2.39 ** KEPT (pick-wt=5): 347 [] set_difference(empty_set,A)=empty_set.
% 2.21/2.39 ---> New Demodulator: 348 [new_demod,347] set_difference(empty_set,A)=empty_set.
% 2.21/2.39 ** KEPT (pick-wt=5): 349 [] subset(A,set_union2(A,B)).
% 2.21/2.39 Following clause subsumed by 210 during input processing: 0 [copy,210,flip.1] A=A.
% 2.21/2.39 210 back subsumes 208.
% 2.21/2.39 210 back subsumes 207.
% 2.21/2.39 Following clause subsumed by 211 during input processing: 0 [copy,211,flip.1] set_union2(A,B)=set_union2(B,A).
% 2.21/2.39 >>>> Starting back demodulation with 229.
% 2.21/2.39 >> back demodulating 209 with 229.
% 2.21/2.39 >> back demodulating 206 with 229.
% 2.21/2.39 >> back demodulating 205 with 229.
% 2.21/2.39 >> back demodulating 203 with 229.
% 2.21/2.39 >> back demodulating 195 with 229.
% 2.21/2.39 >>>> Starting back demodulation with 336.
% 2.21/2.39 >>>> Starting back demodulation with 339.
% 2.21/2.39 >>>> Starting back demodulation with 344.
% 89.51/89.70 >>>> Starting back demodulation with 346.
% 89.51/89.70 >>>> Starting back demodulation with 348.
% 89.51/89.70
% 89.51/89.70 ======= end of input processing =======
% 89.51/89.70
% 89.51/89.70 =========== start of search ===========
% 89.51/89.70
% 89.51/89.70
% 89.51/89.70 Resetting weight limit to 2.
% 89.51/89.70
% 89.51/89.70
% 89.51/89.70 Resetting weight limit to 2.
% 89.51/89.70
% 89.51/89.70 sos_size=635
% 89.51/89.70
% 89.51/89.70 Search stopped because sos empty.
% 89.51/89.70
% 89.51/89.70
% 89.51/89.70 Search stopped because sos empty.
% 89.51/89.70
% 89.51/89.70 ============ end of search ============
% 89.51/89.70
% 89.51/89.70 -------------- statistics -------------
% 89.51/89.70 clauses given 680
% 89.51/89.70 clauses generated 2744972
% 89.51/89.70 clauses kept 879
% 89.51/89.70 clauses forward subsumed 448
% 89.51/89.70 clauses back subsumed 42
% 89.51/89.70 Kbytes malloced 8789
% 89.51/89.70
% 89.51/89.70 ----------- times (seconds) -----------
% 89.51/89.70 user CPU time 87.32 (0 hr, 1 min, 27 sec)
% 89.51/89.70 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 89.51/89.70 wall-clock time 90 (0 hr, 1 min, 30 sec)
% 89.51/89.70
% 89.51/89.70 Process 5683 finished Wed Jul 27 08:08:06 2022
% 89.51/89.70 Otter interrupted
% 89.51/89.70 PROOF NOT FOUND
%------------------------------------------------------------------------------