TSTP Solution File: SEU366+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU366+1 : 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 13:15:53 EDT 2022
% Result : Unknown 249.30s 249.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU366+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:39:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.95/2.17 ----- Otter 3.3f, August 2004 -----
% 1.95/2.17 The process was started by sandbox2 on n029.cluster.edu,
% 1.95/2.17 Wed Jul 27 07:39:44 2022
% 1.95/2.17 The command was "./otter". The process ID is 16436.
% 1.95/2.17
% 1.95/2.17 set(prolog_style_variables).
% 1.95/2.17 set(auto).
% 1.95/2.17 dependent: set(auto1).
% 1.95/2.17 dependent: set(process_input).
% 1.95/2.17 dependent: clear(print_kept).
% 1.95/2.17 dependent: clear(print_new_demod).
% 1.95/2.17 dependent: clear(print_back_demod).
% 1.95/2.17 dependent: clear(print_back_sub).
% 1.95/2.17 dependent: set(control_memory).
% 1.95/2.17 dependent: assign(max_mem, 12000).
% 1.95/2.17 dependent: assign(pick_given_ratio, 4).
% 1.95/2.17 dependent: assign(stats_level, 1).
% 1.95/2.17 dependent: assign(max_seconds, 10800).
% 1.95/2.17 clear(print_given).
% 1.95/2.17
% 1.95/2.17 formula_list(usable).
% 1.95/2.17 all A (A=A).
% 1.95/2.17 all A B (in(A,B)-> -in(B,A)).
% 1.95/2.17 all A (empty(A)->finite(A)).
% 1.95/2.17 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 1.95/2.17 all A B C (-empty_carrier(A)&one_sorted_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->unordered_pair_as_carrier_subset(A,B,C)=unordered_pair_as_carrier_subset(A,C,B)).
% 1.95/2.17 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 1.95/2.17 all A B (set_union2(A,B)=set_union2(B,A)).
% 1.95/2.17 all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 1.95/2.17 all A (rel_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (directed_subset(B,A)<-> (all C (element(C,the_carrier(A))-> (all D (element(D,the_carrier(A))-> -(in(C,B)&in(D,B)& (all E (element(E,the_carrier(A))-> -(in(E,B)&related(A,C,E)&related(A,D,E))))))))))))).
% 1.95/2.17 all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 1.95/2.17 all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 1.95/2.17 all A (rel_str(A)-> (all B C (element(C,the_carrier(A))-> (relstr_set_smaller(A,B,C)<-> (all D (element(D,the_carrier(A))-> (in(D,B)->related(A,D,C)))))))).
% 1.95/2.17 $T.
% 1.95/2.17 $T.
% 1.95/2.17 $T.
% 1.95/2.17 all A B C (-empty_carrier(A)&one_sorted_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->element(unordered_pair_as_carrier_subset(A,B,C),powerset(the_carrier(A)))).
% 1.95/2.17 $T.
% 1.95/2.17 $T.
% 1.95/2.17 all A (rel_str(A)->one_sorted_str(A)).
% 1.95/2.17 $T.
% 1.95/2.17 $T.
% 1.95/2.17 $T.
% 1.95/2.17 exists A rel_str(A).
% 1.95/2.17 exists A one_sorted_str(A).
% 1.95/2.17 all A exists B element(B,A).
% 1.95/2.17 all A (-empty(singleton(A))&finite(singleton(A))).
% 1.95/2.17 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 1.95/2.17 all A (-empty(powerset(A))).
% 1.95/2.17 empty(empty_set).
% 1.95/2.17 all A B (-empty(unordered_pair(A,B))&finite(unordered_pair(A,B))).
% 1.95/2.17 all A (-empty(singleton(A))).
% 1.95/2.17 all A B (-empty(A)-> -empty(set_union2(A,B))).
% 1.95/2.17 all A B (-empty(unordered_pair(A,B))).
% 1.95/2.17 all A B (-empty(A)-> -empty(set_union2(B,A))).
% 1.95/2.17 all A B (finite(A)&finite(B)->finite(set_union2(A,B))).
% 1.95/2.17 all A B (set_union2(A,A)=A).
% 1.95/2.17 exists A (-empty(A)&finite(A)).
% 1.95/2.17 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.95/2.17 exists A empty(A).
% 1.95/2.17 all A exists B (element(B,powerset(A))&empty(B)).
% 1.95/2.17 exists A (-empty(A)).
% 1.95/2.17 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 1.95/2.17 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 1.95/2.17 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 1.95/2.17 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 1.95/2.17 all A B C (-empty_carrier(A)&one_sorted_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->unordered_pair_as_carrier_subset(A,B,C)=unordered_pair(B,C)).
% 1.95/2.17 all A B subset(A,A).
% 1.95/2.17 all A B C (-empty_carrier(A)&transitive_relstr(A)&rel_str(A)&element(B,powerset(the_carrier(A)))&finite(C)&element(C,powerset(B))-> (finite(C)& (exists D (element(D,the_carrier(A))&in(D,B)&relstr_set_smaller(A,empty_set,D)))& (all E F (in(E,C)&subset(F,C)& (exists G (element(G,the_carrier(A))&in(G,B)&relstr_set_smaller(A,F,G)))-> (exists H (element(H,the_carrier(A))&in(H,B)&relstr_set_smaller(A,set_union2(F,singleton(E)),H)))))-> (exists I (element(I,the_carrier(A))&in(I,B)&relstr_set_smaller(A,C,I))))).
% 1.95/2.17 all A (set_union2(A,empty_set)=A).
% 1.95/2.17 all A B (in(A,B)->element(A,B)).
% 1.95/2.17 -(all A (-empty_carrier(A)&transitive_relstr(A)&rel_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (-empty(B)&directed_subset(B,A)<-> (all C (finite(C)&element(C,powerset(B))-> (exists D (element(D,the_carrier(A))&in(D,B)&relstr_set_smaller(A,C,D)))))))))).
% 1.95/2.17 all A (transitive_relstr(A)&rel_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))-> (all D (element(D,the_carrier(A))-> (related(A,B,C)&related(A,C,D)->related(A,B,D))))))))).
% 1.95/2.17 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.95/2.17 all A subset(empty_set,A).
% 1.95/2.17 all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 1.95/2.17 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.95/2.17 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.95/2.17 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.95/2.17 all A (empty(A)->A=empty_set).
% 1.95/2.17 all A (rel_str(A)-> (all B (element(B,the_carrier(A))->relstr_set_smaller(A,empty_set,B)&relstr_element_smaller(A,empty_set,B)))).
% 1.95/2.17 all A B (-(in(A,B)&empty(B))).
% 1.95/2.17 all A B (-(empty(A)&A!=B&empty(B))).
% 1.95/2.17 end_of_list.
% 1.95/2.17
% 1.95/2.17 -------> usable clausifies to:
% 1.95/2.17
% 1.95/2.17 list(usable).
% 1.95/2.17 0 [] A=A.
% 1.95/2.17 0 [] -in(A,B)| -in(B,A).
% 1.95/2.17 0 [] -empty(A)|finite(A).
% 1.95/2.17 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.95/2.17 0 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|unordered_pair_as_carrier_subset(A,B,C)=unordered_pair_as_carrier_subset(A,C,B).
% 1.95/2.17 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 1.95/2.17 0 [] set_union2(A,B)=set_union2(B,A).
% 1.95/2.17 0 [] B!=singleton(A)| -in(C,B)|C=A.
% 1.95/2.17 0 [] B!=singleton(A)|in(C,B)|C!=A.
% 1.95/2.17 0 [] B=singleton(A)|in($f1(A,B),B)|$f1(A,B)=A.
% 1.95/2.17 0 [] B=singleton(A)| -in($f1(A,B),B)|$f1(A,B)!=A.
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|element($f2(A,B,C,D),the_carrier(A)).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|in($f2(A,B,C,D),B).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|related(A,C,$f2(A,B,C,D)).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|related(A,D,$f2(A,B,C,D)).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|element($f4(A,B),the_carrier(A)).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|element($f3(A,B),the_carrier(A)).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|in($f4(A,B),B).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|in($f3(A,B),B).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)| -element(E,the_carrier(A))| -in(E,B)| -related(A,$f4(A,B),E)| -related(A,$f3(A,B),E).
% 1.95/2.17 0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 1.95/2.17 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 1.95/2.17 0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 1.95/2.17 0 [] C=unordered_pair(A,B)|in($f5(A,B,C),C)|$f5(A,B,C)=A|$f5(A,B,C)=B.
% 1.95/2.17 0 [] C=unordered_pair(A,B)| -in($f5(A,B,C),C)|$f5(A,B,C)!=A.
% 1.95/2.17 0 [] C=unordered_pair(A,B)| -in($f5(A,B,C),C)|$f5(A,B,C)!=B.
% 1.95/2.17 0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 1.95/2.17 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 1.95/2.17 0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 1.95/2.17 0 [] C=set_union2(A,B)|in($f6(A,B,C),C)|in($f6(A,B,C),A)|in($f6(A,B,C),B).
% 1.95/2.17 0 [] C=set_union2(A,B)| -in($f6(A,B,C),C)| -in($f6(A,B,C),A).
% 1.95/2.17 0 [] C=set_union2(A,B)| -in($f6(A,B,C),C)| -in($f6(A,B,C),B).
% 1.95/2.17 0 [] -rel_str(A)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,B)|related(A,D,C).
% 1.95/2.17 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_set_smaller(A,B,C)|element($f7(A,B,C),the_carrier(A)).
% 1.95/2.17 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_set_smaller(A,B,C)|in($f7(A,B,C),B).
% 1.95/2.17 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_set_smaller(A,B,C)| -related(A,$f7(A,B,C),C).
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|element(unordered_pair_as_carrier_subset(A,B,C),powerset(the_carrier(A))).
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] -rel_str(A)|one_sorted_str(A).
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] $T.
% 1.95/2.17 0 [] rel_str($c1).
% 1.95/2.17 0 [] one_sorted_str($c2).
% 1.95/2.17 0 [] element($f8(A),A).
% 1.95/2.17 0 [] -empty(singleton(A)).
% 1.95/2.17 0 [] finite(singleton(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.95/2.17 0 [] -empty(powerset(A)).
% 1.95/2.17 0 [] empty(empty_set).
% 1.95/2.17 0 [] -empty(unordered_pair(A,B)).
% 1.95/2.17 0 [] finite(unordered_pair(A,B)).
% 1.95/2.17 0 [] -empty(singleton(A)).
% 1.95/2.17 0 [] empty(A)| -empty(set_union2(A,B)).
% 1.95/2.17 0 [] -empty(unordered_pair(A,B)).
% 1.95/2.17 0 [] empty(A)| -empty(set_union2(B,A)).
% 1.95/2.17 0 [] -finite(A)| -finite(B)|finite(set_union2(A,B)).
% 1.95/2.17 0 [] set_union2(A,A)=A.
% 1.95/2.17 0 [] -empty($c3).
% 1.95/2.17 0 [] finite($c3).
% 1.95/2.17 0 [] empty(A)|element($f9(A),powerset(A)).
% 1.95/2.17 0 [] empty(A)| -empty($f9(A)).
% 1.95/2.17 0 [] empty($c4).
% 1.95/2.17 0 [] element($f10(A),powerset(A)).
% 1.95/2.17 0 [] empty($f10(A)).
% 1.95/2.17 0 [] -empty($c5).
% 1.95/2.17 0 [] empty(A)|element($f11(A),powerset(A)).
% 1.95/2.17 0 [] empty(A)| -empty($f11(A)).
% 1.95/2.17 0 [] empty(A)|finite($f11(A)).
% 1.95/2.17 0 [] one_sorted_str($c6).
% 1.95/2.17 0 [] -empty_carrier($c6).
% 1.95/2.17 0 [] empty(A)|element($f12(A),powerset(A)).
% 1.95/2.17 0 [] empty(A)| -empty($f12(A)).
% 1.95/2.17 0 [] empty(A)|finite($f12(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f13(A),powerset(the_carrier(A))).
% 1.95/2.17 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f13(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|unordered_pair_as_carrier_subset(A,B,C)=unordered_pair(B,C).
% 1.95/2.17 0 [] subset(A,A).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f16(A,B,C),C)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f16(A,B,C),C)|in($f17(A,B,C),B).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f16(A,B,C),C)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|subset($f15(A,B,C),C)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|subset($f15(A,B,C),C)|in($f17(A,B,C),B).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|subset($f15(A,B,C),C)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|element($f14(A,B,C),the_carrier(A))|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|element($f14(A,B,C),the_carrier(A))|in($f17(A,B,C),B).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|element($f14(A,B,C),the_carrier(A))|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f14(A,B,C),B)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f14(A,B,C),B)|in($f17(A,B,C),B).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f14(A,B,C),B)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|relstr_set_smaller(A,$f15(A,B,C),$f14(A,B,C))|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|relstr_set_smaller(A,$f15(A,B,C),$f14(A,B,C))|in($f17(A,B,C),B).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|relstr_set_smaller(A,$f15(A,B,C),$f14(A,B,C))|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)| -element(H,the_carrier(A))| -in(H,B)| -relstr_set_smaller(A,set_union2($f15(A,B,C),singleton($f16(A,B,C))),H)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)| -element(H,the_carrier(A))| -in(H,B)| -relstr_set_smaller(A,set_union2($f15(A,B,C),singleton($f16(A,B,C))),H)|in($f17(A,B,C),B).
% 1.95/2.17 0 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)| -element(H,the_carrier(A))| -in(H,B)| -relstr_set_smaller(A,set_union2($f15(A,B,C),singleton($f16(A,B,C))),H)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.17 0 [] set_union2(A,empty_set)=A.
% 1.95/2.17 0 [] -in(A,B)|element(A,B).
% 1.95/2.17 0 [] -empty_carrier($c9).
% 1.95/2.17 0 [] transitive_relstr($c9).
% 1.95/2.17 0 [] rel_str($c9).
% 1.95/2.17 0 [] element($c8,powerset(the_carrier($c9))).
% 1.95/2.17 0 [] -empty($c8)| -finite(C)| -element(C,powerset($c8))|element($f18(C),the_carrier($c9)).
% 1.95/2.17 0 [] -empty($c8)| -finite(C)| -element(C,powerset($c8))|in($f18(C),$c8).
% 1.95/2.17 0 [] -empty($c8)| -finite(C)| -element(C,powerset($c8))|relstr_set_smaller($c9,C,$f18(C)).
% 1.95/2.17 0 [] directed_subset($c8,$c9)| -finite(C)| -element(C,powerset($c8))|element($f18(C),the_carrier($c9)).
% 1.95/2.17 0 [] directed_subset($c8,$c9)| -finite(C)| -element(C,powerset($c8))|in($f18(C),$c8).
% 1.95/2.17 0 [] directed_subset($c8,$c9)| -finite(C)| -element(C,powerset($c8))|relstr_set_smaller($c9,C,$f18(C)).
% 1.95/2.17 0 [] empty($c8)| -directed_subset($c8,$c9)|finite($c7).
% 1.95/2.17 0 [] empty($c8)| -directed_subset($c8,$c9)|element($c7,powerset($c8)).
% 1.95/2.17 0 [] empty($c8)| -directed_subset($c8,$c9)| -element(D,the_carrier($c9))| -in(D,$c8)| -relstr_set_smaller($c9,$c7,D).
% 1.95/2.17 0 [] -transitive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -related(A,B,C)| -related(A,C,D)|related(A,B,D).
% 1.95/2.17 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.95/2.17 0 [] subset(empty_set,A).
% 1.95/2.17 0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 1.95/2.17 0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 1.95/2.17 0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 1.95/2.17 0 [] -element(A,powerset(B))|subset(A,B).
% 1.95/2.17 0 [] element(A,powerset(B))| -subset(A,B).
% 1.95/2.17 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.95/2.17 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.95/2.17 0 [] -empty(A)|A=empty_set.
% 1.95/2.17 0 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,empty_set,B).
% 1.95/2.17 0 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_element_smaller(A,empty_set,B).
% 1.95/2.17 0 [] -in(A,B)| -empty(B).
% 1.95/2.17 0 [] -empty(A)|A=B| -empty(B).
% 1.95/2.17 end_of_list.
% 1.95/2.17
% 1.95/2.17 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=13.
% 1.95/2.17
% 1.95/2.17 This ia a non-Horn set with equality. The strategy will be
% 1.95/2.17 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.95/2.17 deletion, with positive clauses in sos and nonpositive
% 1.95/2.17 clauses in usable.
% 1.95/2.17
% 1.95/2.17 dependent: set(knuth_bendix).
% 1.95/2.17 dependent: set(anl_eq).
% 1.95/2.17 dependent: set(para_from).
% 1.95/2.17 dependent: set(para_into).
% 1.95/2.17 dependent: clear(para_from_right).
% 1.95/2.17 dependent: clear(para_into_right).
% 1.95/2.17 dependent: set(para_from_vars).
% 1.95/2.17 dependent: set(eq_units_both_ways).
% 1.95/2.17 dependent: set(dynamic_demod_all).
% 1.95/2.17 dependent: set(dynamic_demod).
% 1.95/2.17 dependent: set(order_eq).
% 1.95/2.17 dependent: set(back_demod).
% 1.95/2.17 dependent: set(lrpo).
% 1.95/2.17 dependent: set(hyper_res).
% 1.95/2.17 dependent: set(unit_deletion).
% 1.95/2.17 dependent: set(factor).
% 1.95/2.17
% 1.95/2.17 ------------> process usable:
% 1.95/2.17 ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.95/2.17 ** KEPT (pick-wt=4): 2 [] -empty(A)|finite(A).
% 1.95/2.17 ** KEPT (pick-wt=8): 3 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.95/2.17 ** KEPT (pick-wt=21): 4 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|unordered_pair_as_carrier_subset(A,B,C)=unordered_pair_as_carrier_subset(A,C,B).
% 1.95/2.17 ** KEPT (pick-wt=10): 5 [] A!=singleton(B)| -in(C,A)|C=B.
% 1.95/2.17 ** KEPT (pick-wt=10): 6 [] A!=singleton(B)|in(C,A)|C!=B.
% 1.95/2.17 ** KEPT (pick-wt=14): 7 [] A=singleton(B)| -in($f1(B,A),A)|$f1(B,A)!=B.
% 1.95/2.17 ** KEPT (pick-wt=32): 8 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|element($f2(A,B,C,D),the_carrier(A)).
% 1.95/2.17 ** KEPT (pick-wt=31): 9 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|in($f2(A,B,C,D),B).
% 1.95/2.17 ** KEPT (pick-wt=32): 10 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|related(A,C,$f2(A,B,C,D)).
% 1.95/2.17 ** KEPT (pick-wt=32): 11 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))| -directed_subset(B,A)| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -in(C,B)| -in(D,B)|related(A,D,$f2(A,B,C,D)).
% 1.95/2.17 ** KEPT (pick-wt=16): 12 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|element($f4(A,B),the_carrier(A)).
% 1.95/2.17 ** KEPT (pick-wt=16): 13 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|element($f3(A,B),the_carrier(A)).
% 1.95/2.17 ** KEPT (pick-wt=15): 14 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|in($f4(A,B),B).
% 1.95/2.17 ** KEPT (pick-wt=15): 15 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)|in($f3(A,B),B).
% 1.95/2.17 ** KEPT (pick-wt=29): 16 [] -rel_str(A)| -element(B,powerset(the_carrier(A)))|directed_subset(B,A)| -element(C,the_carrier(A))| -in(C,B)| -related(A,$f4(A,B),C)| -related(A,$f3(A,B),C).
% 1.95/2.17 ** KEPT (pick-wt=14): 17 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 1.95/2.17 ** KEPT (pick-wt=11): 18 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 1.95/2.17 ** KEPT (pick-wt=11): 19 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 1.95/2.17 ** KEPT (pick-wt=17): 20 [] A=unordered_pair(B,C)| -in($f5(B,C,A),A)|$f5(B,C,A)!=B.
% 1.95/2.17 ** KEPT (pick-wt=17): 21 [] A=unordered_pair(B,C)| -in($f5(B,C,A),A)|$f5(B,C,A)!=C.
% 1.95/2.17 ** KEPT (pick-wt=14): 22 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 1.95/2.17 ** KEPT (pick-wt=11): 23 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 1.95/2.17 ** KEPT (pick-wt=11): 24 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 1.95/2.17 ** KEPT (pick-wt=17): 25 [] A=set_union2(B,C)| -in($f6(B,C,A),A)| -in($f6(B,C,A),B).
% 1.95/2.17 ** KEPT (pick-wt=17): 26 [] A=set_union2(B,C)| -in($f6(B,C,A),A)| -in($f6(B,C,A),C).
% 1.95/2.17 ** KEPT (pick-wt=21): 27 [] -rel_str(A)| -element(B,the_carrier(A))| -relstr_set_smaller(A,C,B)| -element(D,the_carrier(A))| -in(D,C)|related(A,D,B).
% 1.95/2.17 ** KEPT (pick-wt=17): 28 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,C,B)|element($f7(A,C,B),the_carrier(A)).
% 1.95/2.17 ** KEPT (pick-wt=16): 29 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,C,B)|in($f7(A,C,B),C).
% 1.95/2.17 ** KEPT (pick-wt=17): 30 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,C,B)| -related(A,$f7(A,C,B),B).
% 1.95/2.17 ** KEPT (pick-wt=20): 31 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|element(unordered_pair_as_carrier_subset(A,B,C),powerset(the_carrier(A))).
% 1.95/2.18 ** KEPT (pick-wt=4): 32 [] -rel_str(A)|one_sorted_str(A).
% 1.95/2.18 ** KEPT (pick-wt=3): 33 [] -empty(singleton(A)).
% 1.95/2.18 ** KEPT (pick-wt=7): 34 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.95/2.18 ** KEPT (pick-wt=3): 35 [] -empty(powerset(A)).
% 1.95/2.18 ** KEPT (pick-wt=4): 36 [] -empty(unordered_pair(A,B)).
% 1.95/2.18 Following clause subsumed by 33 during input processing: 0 [] -empty(singleton(A)).
% 1.95/2.18 ** KEPT (pick-wt=6): 37 [] empty(A)| -empty(set_union2(A,B)).
% 1.95/2.18 Following clause subsumed by 36 during input processing: 0 [] -empty(unordered_pair(A,B)).
% 1.95/2.18 ** KEPT (pick-wt=6): 38 [] empty(A)| -empty(set_union2(B,A)).
% 1.95/2.18 ** KEPT (pick-wt=8): 39 [] -finite(A)| -finite(B)|finite(set_union2(A,B)).
% 1.95/2.18 ** KEPT (pick-wt=2): 40 [] -empty($c3).
% 1.95/2.18 ** KEPT (pick-wt=5): 41 [] empty(A)| -empty($f9(A)).
% 1.95/2.18 ** KEPT (pick-wt=2): 42 [] -empty($c5).
% 1.95/2.18 ** KEPT (pick-wt=5): 43 [] empty(A)| -empty($f11(A)).
% 1.95/2.18 ** KEPT (pick-wt=2): 44 [] -empty_carrier($c6).
% 1.95/2.18 ** KEPT (pick-wt=5): 45 [] empty(A)| -empty($f12(A)).
% 1.95/2.18 ** KEPT (pick-wt=10): 46 [] empty_carrier(A)| -one_sorted_str(A)|element($f13(A),powerset(the_carrier(A))).
% 1.95/2.18 ** KEPT (pick-wt=7): 47 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f13(A)).
% 1.95/2.18 ** KEPT (pick-wt=20): 48 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|unordered_pair_as_carrier_subset(A,B,C)=unordered_pair(B,C).
% 1.95/2.18 ** KEPT (pick-wt=41): 49 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f16(A,B,C),C)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.18 ** KEPT (pick-wt=40): 50 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f16(A,B,C),C)|in($f17(A,B,C),B).
% 1.95/2.18 ** KEPT (pick-wt=41): 51 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f16(A,B,C),C)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.18 ** KEPT (pick-wt=41): 52 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|subset($f15(A,B,C),C)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.18 ** KEPT (pick-wt=40): 53 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|subset($f15(A,B,C),C)|in($f17(A,B,C),B).
% 1.95/2.18 ** KEPT (pick-wt=41): 54 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|subset($f15(A,B,C),C)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.18 ** KEPT (pick-wt=42): 55 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|element($f14(A,B,C),the_carrier(A))|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.18 ** KEPT (pick-wt=41): 56 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|element($f14(A,B,C),the_carrier(A))|in($f17(A,B,C),B).
% 1.95/2.18 ** KEPT (pick-wt=42): 57 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|element($f14(A,B,C),the_carrier(A))|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.18 ** KEPT (pick-wt=41): 58 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f14(A,B,C),B)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.19 ** KEPT (pick-wt=40): 59 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f14(A,B,C),B)|in($f17(A,B,C),B).
% 1.95/2.19 ** KEPT (pick-wt=41): 60 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|in($f14(A,B,C),B)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.19 ** KEPT (pick-wt=45): 61 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|relstr_set_smaller(A,$f15(A,B,C),$f14(A,B,C))|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.19 ** KEPT (pick-wt=44): 62 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|relstr_set_smaller(A,$f15(A,B,C),$f14(A,B,C))|in($f17(A,B,C),B).
% 1.95/2.19 ** KEPT (pick-wt=45): 63 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)|relstr_set_smaller(A,$f15(A,B,C),$f14(A,B,C))|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.19 ** KEPT (pick-wt=55): 64 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)| -element(E,the_carrier(A))| -in(E,B)| -relstr_set_smaller(A,set_union2($f15(A,B,C),singleton($f16(A,B,C))),E)|element($f17(A,B,C),the_carrier(A)).
% 1.95/2.19 ** KEPT (pick-wt=54): 65 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)| -element(E,the_carrier(A))| -in(E,B)| -relstr_set_smaller(A,set_union2($f15(A,B,C),singleton($f16(A,B,C))),E)|in($f17(A,B,C),B).
% 1.95/2.19 ** KEPT (pick-wt=55): 66 [] empty_carrier(A)| -transitive_relstr(A)| -rel_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(B))| -finite(C)| -element(D,the_carrier(A))| -in(D,B)| -relstr_set_smaller(A,empty_set,D)| -element(E,the_carrier(A))| -in(E,B)| -relstr_set_smaller(A,set_union2($f15(A,B,C),singleton($f16(A,B,C))),E)|relstr_set_smaller(A,C,$f17(A,B,C)).
% 1.95/2.19 ** KEPT (pick-wt=6): 67 [] -in(A,B)|element(A,B).
% 1.95/2.19 ** KEPT (pick-wt=2): 68 [] -empty_carrier($c9).
% 1.95/2.19 ** KEPT (pick-wt=13): 69 [] -empty($c8)| -finite(A)| -element(A,powerset($c8))|element($f18(A),the_carrier($c9)).
% 1.95/2.19 ** KEPT (pick-wt=12): 70 [] -empty($c8)| -finite(A)| -element(A,powerset($c8))|in($f18(A),$c8).
% 1.95/2.19 ** KEPT (pick-wt=13): 71 [] -empty($c8)| -finite(A)| -element(A,powerset($c8))|relstr_set_smaller($c9,A,$f18(A)).
% 1.95/2.19 ** KEPT (pick-wt=14): 72 [] directed_subset($c8,$c9)| -finite(A)| -element(A,powerset($c8))|element($f18(A),the_carrier($c9)).
% 1.95/2.19 ** KEPT (pick-wt=13): 73 [] directed_subset($c8,$c9)| -finite(A)| -element(A,powerset($c8))|in($f18(A),$c8).
% 1.95/2.19 ** KEPT (pick-wt=14): 74 [] directed_subset($c8,$c9)| -finite(A)| -element(A,powerset($c8))|relstr_set_smaller($c9,A,$f18(A)).
% 1.95/2.19 ** KEPT (pick-wt=7): 75 [] empty($c8)| -directed_subset($c8,$c9)|finite($c7).
% 1.95/2.19 ** KEPT (pick-wt=9): 76 [] empty($c8)| -directed_subset($c8,$c9)|element($c7,powerset($c8)).
% 1.95/2.19 ** KEPT (pick-wt=16): 77 [] empty($c8)| -directed_subset($c8,$c9)| -element(A,the_carrier($c9))| -in(A,$c8)| -relstr_set_smaller($c9,$c7,A).
% 1.95/2.19 ** KEPT (pick-wt=28): 78 [] -transitive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -related(A,B,C)| -related(A,C,D)|related(A,B,D).
% 1.95/2.19 ** KEPT (pick-wt=8): 79 [] -element(A,B)|empty(B)|in(A,B).
% 1.95/2.19 ** KEPT (pick-wt=8): 80 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 249.30/249.50 ** KEPT (pick-wt=8): 81 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 249.30/249.50 ** KEPT (pick-wt=11): 82 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 249.30/249.50 ** KEPT (pick-wt=7): 83 [] -element(A,powerset(B))|subset(A,B).
% 249.30/249.50 ** KEPT (pick-wt=7): 84 [] element(A,powerset(B))| -subset(A,B).
% 249.30/249.50 ** KEPT (pick-wt=10): 85 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 249.30/249.50 ** KEPT (pick-wt=9): 86 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 249.30/249.50 ** KEPT (pick-wt=5): 87 [] -empty(A)|A=empty_set.
% 249.30/249.50 ** KEPT (pick-wt=10): 88 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,empty_set,B).
% 249.30/249.50 ** KEPT (pick-wt=10): 89 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_element_smaller(A,empty_set,B).
% 249.30/249.50 ** KEPT (pick-wt=5): 90 [] -in(A,B)| -empty(B).
% 249.30/249.50 ** KEPT (pick-wt=7): 91 [] -empty(A)|A=B| -empty(B).
% 249.30/249.50
% 249.30/249.50 ------------> process sos:
% 249.30/249.50 ** KEPT (pick-wt=3): 132 [] A=A.
% 249.30/249.50 ** KEPT (pick-wt=7): 133 [] unordered_pair(A,B)=unordered_pair(B,A).
% 249.30/249.50 ** KEPT (pick-wt=7): 134 [] set_union2(A,B)=set_union2(B,A).
% 249.30/249.50 ** KEPT (pick-wt=14): 135 [] A=singleton(B)|in($f1(B,A),A)|$f1(B,A)=B.
% 249.30/249.50 ** KEPT (pick-wt=23): 136 [] A=unordered_pair(B,C)|in($f5(B,C,A),A)|$f5(B,C,A)=B|$f5(B,C,A)=C.
% 249.30/249.50 ** KEPT (pick-wt=23): 137 [] A=set_union2(B,C)|in($f6(B,C,A),A)|in($f6(B,C,A),B)|in($f6(B,C,A),C).
% 249.30/249.50 ** KEPT (pick-wt=2): 138 [] rel_str($c1).
% 249.30/249.50 ** KEPT (pick-wt=2): 139 [] one_sorted_str($c2).
% 249.30/249.50 ** KEPT (pick-wt=4): 140 [] element($f8(A),A).
% 249.30/249.50 ** KEPT (pick-wt=3): 141 [] finite(singleton(A)).
% 249.30/249.50 ** KEPT (pick-wt=2): 142 [] empty(empty_set).
% 249.30/249.50 ** KEPT (pick-wt=4): 143 [] finite(unordered_pair(A,B)).
% 249.30/249.50 ** KEPT (pick-wt=5): 144 [] set_union2(A,A)=A.
% 249.30/249.50 ---> New Demodulator: 145 [new_demod,144] set_union2(A,A)=A.
% 249.30/249.50 ** KEPT (pick-wt=2): 146 [] finite($c3).
% 249.30/249.50 ** KEPT (pick-wt=7): 147 [] empty(A)|element($f9(A),powerset(A)).
% 249.30/249.50 ** KEPT (pick-wt=2): 148 [] empty($c4).
% 249.30/249.50 ** KEPT (pick-wt=5): 149 [] element($f10(A),powerset(A)).
% 249.30/249.50 ** KEPT (pick-wt=3): 150 [] empty($f10(A)).
% 249.30/249.50 ** KEPT (pick-wt=7): 151 [] empty(A)|element($f11(A),powerset(A)).
% 249.30/249.50 ** KEPT (pick-wt=5): 152 [] empty(A)|finite($f11(A)).
% 249.30/249.50 ** KEPT (pick-wt=2): 153 [] one_sorted_str($c6).
% 249.30/249.50 ** KEPT (pick-wt=7): 154 [] empty(A)|element($f12(A),powerset(A)).
% 249.30/249.50 ** KEPT (pick-wt=5): 155 [] empty(A)|finite($f12(A)).
% 249.30/249.50 ** KEPT (pick-wt=3): 156 [] subset(A,A).
% 249.30/249.50 ** KEPT (pick-wt=5): 157 [] set_union2(A,empty_set)=A.
% 249.30/249.50 ---> New Demodulator: 158 [new_demod,157] set_union2(A,empty_set)=A.
% 249.30/249.50 ** KEPT (pick-wt=2): 159 [] transitive_relstr($c9).
% 249.30/249.50 ** KEPT (pick-wt=2): 160 [] rel_str($c9).
% 249.30/249.50 ** KEPT (pick-wt=5): 161 [] element($c8,powerset(the_carrier($c9))).
% 249.30/249.50 ** KEPT (pick-wt=3): 162 [] subset(empty_set,A).
% 249.30/249.50 Following clause subsumed by 132 during input processing: 0 [copy,132,flip.1] A=A.
% 249.30/249.50 132 back subsumes 128.
% 249.30/249.50 132 back subsumes 93.
% 249.30/249.50 Following clause subsumed by 133 during input processing: 0 [copy,133,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 249.30/249.50 Following clause subsumed by 134 during input processing: 0 [copy,134,flip.1] set_union2(A,B)=set_union2(B,A).
% 249.30/249.50 >>>> Starting back demodulation with 145.
% 249.30/249.50 >> back demodulating 103 with 145.
% 249.30/249.50 >> back demodulating 98 with 145.
% 249.30/249.50 >>>> Starting back demodulation with 158.
% 249.30/249.50
% 249.30/249.50 ======= end of input processing =======
% 249.30/249.50
% 249.30/249.50 =========== start of search ===========
% 249.30/249.50
% 249.30/249.50
% 249.30/249.50 Resetting weight limit to 9.
% 249.30/249.50
% 249.30/249.50
% 249.30/249.50 Resetting weight limit to 9.
% 249.30/249.50
% 249.30/249.50 sos_size=917
% 249.30/249.50
% 249.30/249.50
% 249.30/249.50 Resetting weight limit to 6.
% 249.30/249.50
% 249.30/249.50
% 249.30/249.50 Resetting weight limit to 6.
% 249.30/249.50
% 249.30/249.50 sos_size=1041
% 249.30/249.50
% 249.30/249.50 Search stopped because sos empty.
% 249.30/249.50
% 249.30/249.50
% 249.30/249.50 Search stopped because sos empty.
% 249.30/249.50
% 249.30/249.50 ============ end of search ============
% 249.30/249.50
% 249.30/249.50 -------------- statistics -------------
% 249.30/249.50 clauses given 1189
% 249.30/249.50 clauses generated 2670201
% 249.30/249.50 clauses kept 1383
% 249.30/249.50 clauses forward subsumed 2105
% 249.30/249.50 clauses back subsumed 29
% 249.30/249.50 Kbytes malloced 8789
% 249.30/249.50
% 249.30/249.50 ----------- times (seconds) -----------
% 249.30/249.50 user CPU time 247.33 (0 hr, 4 min, 7 sec)
% 249.30/249.50 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 249.30/249.50 wall-clock time 249 (0 hr, 4 min, 9 sec)
% 249.30/249.50
% 249.30/249.50 Process 16436 finished Wed Jul 27 07:43:53 2022
% 249.30/249.50 Otter interrupted
% 249.30/249.50 PROOF NOT FOUND
%------------------------------------------------------------------------------