TSTP Solution File: SEU395+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 13:16:04 EDT 2022
% Result : Unknown 3.71s 3.88s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 07:53:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.42/3.59 ----- Otter 3.3f, August 2004 -----
% 3.42/3.59 The process was started by sandbox on n013.cluster.edu,
% 3.42/3.59 Wed Jul 27 07:53:15 2022
% 3.42/3.59 The command was "./otter". The process ID is 27473.
% 3.42/3.59
% 3.42/3.59 set(prolog_style_variables).
% 3.42/3.59 set(auto).
% 3.42/3.59 dependent: set(auto1).
% 3.42/3.59 dependent: set(process_input).
% 3.42/3.59 dependent: clear(print_kept).
% 3.42/3.59 dependent: clear(print_new_demod).
% 3.42/3.59 dependent: clear(print_back_demod).
% 3.42/3.59 dependent: clear(print_back_sub).
% 3.42/3.59 dependent: set(control_memory).
% 3.42/3.59 dependent: assign(max_mem, 12000).
% 3.42/3.59 dependent: assign(pick_given_ratio, 4).
% 3.42/3.59 dependent: assign(stats_level, 1).
% 3.42/3.59 dependent: assign(max_seconds, 10800).
% 3.42/3.59 clear(print_given).
% 3.42/3.59
% 3.42/3.59 formula_list(usable).
% 3.42/3.59 all A (A=A).
% 3.42/3.59 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 3.42/3.59 all A B (one_sorted_str(A)&net_str(B,A)-> (strict_net_str(B,A)->B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)))).
% 3.42/3.59 all A B (in(A,B)-> -in(B,A)).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&up_complete_relstr(A)&join_complete_relstr(A))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&join_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&lower_bounded_relstr(A))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&lower_bounded_relstr(A)&up_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&join_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&with_infima_relstr(A))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&upper_bounded_relstr(A)&join_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&upper_bounded_relstr(A))).
% 3.42/3.59 all A (empty(A)->finite(A)).
% 3.42/3.59 all A (rel_str(A)-> (with_suprema_relstr(A)-> -empty_carrier(A))).
% 3.42/3.59 all A (empty(A)->relation(A)).
% 3.42/3.59 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->open_subset(B,A)&closed_subset(B,A))))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 3.42/3.59 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 3.42/3.59 all A (rel_str(A)-> (with_infima_relstr(A)-> -empty_carrier(A))).
% 3.42/3.59 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->boundary_set(B,A))))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&trivial_carrier(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->nowhere_dense(B,A))))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&bounded_relstr(A))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (nowhere_dense(B,A)->boundary_set(B,A))))).
% 3.42/3.59 all A (rel_str(A)-> (bounded_relstr(A)->lower_bounded_relstr(A)&upper_bounded_relstr(A))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (closed_subset(B,A)&boundary_set(B,A)->boundary_set(B,A)&nowhere_dense(B,A))))).
% 3.42/3.59 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&trivial_carrier(A)-> -empty_carrier(A)&reflexive_relstr(A)&connected_relstr(A))).
% 3.42/3.59 all A (rel_str(A)-> (lower_bounded_relstr(A)&upper_bounded_relstr(A)->bounded_relstr(A))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (open_subset(B,A)&nowhere_dense(B,A)->empty(B)&open_subset(B,A)&closed_subset(B,A)&v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)&boundary_set(B,A)&nowhere_dense(B,A))))).
% 3.42/3.59 all A (rel_str(A)-> (reflexive_relstr(A)&with_suprema_relstr(A)&up_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&with_suprema_relstr(A)&upper_bounded_relstr(A))).
% 3.42/3.59 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)->filter_of_net_str(A,B)=a_2_1_yellow19(A,B)))).
% 3.42/3.59 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 3.42/3.59 all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))->strict_net_str(net_str_of(A,B,C,D),A)&net_str(net_str_of(A,B,C,D),A)).
% 3.42/3.59 all A B (-empty_carrier(A)&topological_space(A)&top_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)->element(lim_points_of_net(A,B),powerset(the_carrier(A)))).
% 3.42/3.59 $T.
% 3.42/3.59 $T.
% 3.42/3.59 all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 3.42/3.59 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)->element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))).
% 3.42/3.59 $T.
% 3.42/3.59 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty(B)&element(B,powerset(the_carrier(A)))& -empty(C)&filtered_subset(C,boole_POSet(B))&upper_relstr_subset(C,boole_POSet(B))&element(C,powerset(the_carrier(boole_POSet(B))))-> -empty_carrier(net_of_bool_filter(A,B,C))&strict_net_str(net_of_bool_filter(A,B,C),A)&net_str(net_of_bool_filter(A,B,C),A)).
% 3.42/3.59 all A (strict_rel_str(boole_POSet(A))&rel_str(boole_POSet(A))).
% 3.42/3.59 all A (rel_str(A)->one_sorted_str(A)).
% 3.42/3.59 all A (top_str(A)->one_sorted_str(A)).
% 3.42/3.59 $T.
% 3.42/3.59 all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 3.42/3.59 $T.
% 3.42/3.59 $T.
% 3.42/3.59 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 3.42/3.59 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 3.42/3.59 $T.
% 3.42/3.59 all A B (one_sorted_str(A)&net_str(B,A)->function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))&relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 3.42/3.59 exists A rel_str(A).
% 3.42/3.59 exists A top_str(A).
% 3.42/3.59 exists A one_sorted_str(A).
% 3.42/3.59 all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 3.42/3.59 all A B exists C relation_of2(C,A,B).
% 3.42/3.59 all A exists B element(B,A).
% 3.42/3.59 all A B exists C relation_of2_as_subset(C,A,B).
% 3.42/3.59 empty(empty_set).
% 3.42/3.59 relation(empty_set).
% 3.42/3.59 relation_empty_yielding(empty_set).
% 3.42/3.59 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 3.42/3.59 all A (-empty_carrier(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&lower_relstr_subset(cast_as_carrier_subset(A),A)&upper_relstr_subset(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> -empty(the_mapping(A,B))&relation(the_mapping(A,B))&function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 3.42/3.59 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 3.42/3.59 all A (-empty(powerset(A))).
% 3.42/3.59 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&up_complete_relstr(boole_POSet(A))&join_complete_relstr(boole_POSet(A))& -v1_yellow_3(boole_POSet(A))&distributive_relstr(boole_POSet(A))&heyting_relstr(boole_POSet(A))&complemented_relstr(boole_POSet(A))&boolean_relstr(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 3.42/3.59 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(cast_as_carrier_subset(A))).
% 3.42/3.59 all A (with_suprema_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A (-empty(A)-> -empty_carrier(boole_POSet(A))& -trivial_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&up_complete_relstr(boole_POSet(A))&join_complete_relstr(boole_POSet(A))& -v1_yellow_3(boole_POSet(A))&distributive_relstr(boole_POSet(A))&heyting_relstr(boole_POSet(A))&complemented_relstr(boole_POSet(A))&boolean_relstr(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 3.42/3.59 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> -empty(filter_of_net_str(A,B))&upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A)))).
% 3.42/3.59 all A (-empty_carrier(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))).
% 3.42/3.59 all A (-empty_carrier(A)&upper_bounded_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> -empty(filter_of_net_str(A,B))&filtered_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A)))&upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A)))&proper_element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))).
% 3.42/3.59 empty(empty_set).
% 3.42/3.59 relation(empty_set).
% 3.42/3.59 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.42/3.59 all A (with_infima_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty(B)&element(B,powerset(the_carrier(A)))& -empty(C)&filtered_subset(C,boole_POSet(B))&upper_relstr_subset(C,boole_POSet(B))&element(C,powerset(the_carrier(boole_POSet(B))))-> -empty_carrier(net_of_bool_filter(A,B,C))&reflexive_relstr(net_of_bool_filter(A,B,C))&transitive_relstr(net_of_bool_filter(A,B,C))&strict_net_str(net_of_bool_filter(A,B,C),A)).
% 3.42/3.59 all A (topological_space(A)&top_str(A)->closed_subset(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A (-empty_carrier(A)&lower_bounded_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty(B)&element(B,powerset(the_carrier(A)))& -empty(C)&filtered_subset(C,boole_POSet(B))&upper_relstr_subset(C,boole_POSet(B))&proper_element(C,powerset(the_carrier(boole_POSet(B))))&element(C,powerset(the_carrier(boole_POSet(B))))-> -empty_carrier(net_of_bool_filter(A,B,C))&reflexive_relstr(net_of_bool_filter(A,B,C))&transitive_relstr(net_of_bool_filter(A,B,C))&strict_net_str(net_of_bool_filter(A,B,C),A)&directed_relstr(net_of_bool_filter(A,B,C))).
% 3.42/3.59 all A B C D (one_sorted_str(A)& -empty(B)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> -empty_carrier(net_str_of(A,B,C,D))&strict_net_str(net_str_of(A,B,C,D),A)).
% 3.42/3.59 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)->open_subset(cast_as_carrier_subset(A),A)&closed_subset(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 3.42/3.59 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&directed_relstr(boole_POSet(A))&up_complete_relstr(boole_POSet(A))&join_complete_relstr(boole_POSet(A))& -v1_yellow_3(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 3.42/3.59 all A (top_str(A)->dense(cast_as_carrier_subset(A),A)).
% 3.42/3.59 all A B C (-empty_carrier(B)&one_sorted_str(B)& -empty_carrier(C)&net_str(C,B)-> (in(A,a_2_1_yellow19(B,C))<-> (exists D (element(D,powerset(the_carrier(B)))&A=D&is_eventually_in(B,C,D))))).
% 3.42/3.59 all A B (relation_of2(B,A,A)-> (all C D (rel_str_of(A,B)=rel_str_of(C,D)->A=C&B=D))).
% 3.42/3.59 all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> (all E F G H (net_str_of(A,B,C,D)=net_str_of(E,F,G,H)->A=E&B=F&C=G&D=H))).
% 3.42/3.59 all A (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&filtered_subset(B,A)&upper_relstr_subset(B,A)))).
% 3.42/3.59 all A (reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&directed_subset(B,A)&filtered_subset(B,A)&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&connected_relstr(A)).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)&up_complete_relstr(A)&join_complete_relstr(A)).
% 3.42/3.59 exists A (-empty(A)&finite(A)).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A)).
% 3.42/3.59 exists A (empty(A)&relation(A)).
% 3.42/3.59 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)))).
% 3.42/3.59 all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&directed_subset(B,A)&filtered_subset(B,A)))).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)& -trivial_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)& -v1_yellow_3(A)&distributive_relstr(A)&heyting_relstr(A)&complemented_relstr(A)&boolean_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&trivial_carrier(A)).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)).
% 3.42/3.59 exists A (-empty(A)&relation(A)).
% 3.42/3.59 all A exists B (element(B,powerset(A))&empty(B)).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)&closed_subset(B,A)))).
% 3.42/3.59 all A (-empty_carrier(A)&reflexive_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&finite(B)&directed_subset(B,A)&filtered_subset(B,A)))).
% 3.42/3.59 all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)).
% 3.42/3.59 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.42/3.59 exists A (relation(A)&relation_empty_yielding(A)).
% 3.42/3.59 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 3.42/3.59 all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&open_subset(B,A)&closed_subset(B,A)))).
% 3.42/3.59 all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 3.42/3.59 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.42/3.59 all A (top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&empty(B)&v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)&boundary_set(B,A)))).
% 3.42/3.59 all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 3.42/3.59 all A (-empty_carrier(A)& -trivial_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&upper_bounded_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&proper_element(B,powerset(the_carrier(A)))&filtered_subset(B,A)&upper_relstr_subset(B,A)))).
% 3.42/3.59 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&transitive_relstr(A)&directed_relstr(A)).
% 3.42/3.59 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&empty(B)&open_subset(B,A)&closed_subset(B,A)&v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)&boundary_set(B,A)&nowhere_dense(B,A)))).
% 3.42/3.59 all A (one_sorted_str(A)-> (exists B (net_str(B,A)& -empty_carrier(B)&reflexive_relstr(B)&transitive_relstr(B)&antisymmetric_relstr(B)&strict_net_str(B,A)&directed_relstr(B)))).
% 3.42/3.59 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 3.42/3.59 all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&closed_subset(B,A)))).
% 3.42/3.59 all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 3.42/3.59 all A (-empty_carrier(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 3.42/3.59 all A (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&directed_subset(B,A)&lower_relstr_subset(B,A)))).
% 3.42/3.59 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 3.42/3.59 all A B subset(A,A).
% 3.42/3.59 all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (-empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C (element(C,the_carrier(A))-> (in(C,lim_points_of_net(A,B))<->is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C))))))).
% 3.42/3.59 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty(B)&filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))&upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))&proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))&element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))->B=filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B))))).
% 3.42/3.59 -(all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (-empty(B)&filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))&upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))&proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))&element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))-> (all C (element(C,the_carrier(A))-> (in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))<->is_a_convergence_point_of_set(A,B,C)))))))).
% 3.42/3.59 all A B (in(A,B)->element(A,B)).
% 3.42/3.59 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.42/3.59 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.42/3.59 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.42/3.59 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.42/3.59 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.42/3.59 all A (empty(A)->A=empty_set).
% 3.42/3.59 all A B (-(in(A,B)&empty(B))).
% 3.42/3.59 all A B (-(empty(A)&A!=B&empty(B))).
% 3.42/3.59 end_of_list.
% 3.42/3.59
% 3.42/3.59 -------> usable clausifies to:
% 3.42/3.59
% 3.42/3.59 list(usable).
% 3.42/3.59 0 [] A=A.
% 3.42/3.59 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 3.42/3.59 0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)).
% 3.42/3.59 0 [] -in(A,B)| -in(B,A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|with_infima_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|complete_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|bounded_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 3.42/3.59 0 [] -empty(A)|finite(A).
% 3.42/3.59 0 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 3.42/3.59 0 [] -empty(A)|relation(A).
% 3.42/3.59 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 3.42/3.59 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.42/3.59 0 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 3.42/3.59 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.42/3.59 0 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)| -boundary_set(B,A)|nowhere_dense(B,A).
% 3.42/3.59 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 3.42/3.59 0 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|closed_subset(B,A).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 3.42/3.59 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.42/3.59 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 3.42/3.59 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|filter_of_net_str(A,B)=a_2_1_yellow19(A,B).
% 3.42/3.59 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 3.42/3.59 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 3.42/3.59 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 3.42/3.59 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str(net_str_of(A,B,C,D),A).
% 3.42/3.59 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element(lim_points_of_net(A,B),powerset(the_carrier(A))).
% 3.42/3.59 0 [] $T.
% 3.42/3.59 0 [] $T.
% 3.42/3.59 0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.42/3.59 0 [] $T.
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.59 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.59 0 [] rel_str(boole_POSet(A)).
% 3.42/3.59 0 [] -rel_str(A)|one_sorted_str(A).
% 3.42/3.59 0 [] -top_str(A)|one_sorted_str(A).
% 3.42/3.59 0 [] $T.
% 3.42/3.59 0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 3.42/3.59 0 [] $T.
% 3.42/3.59 0 [] $T.
% 3.42/3.59 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 3.42/3.59 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.42/3.59 0 [] $T.
% 3.42/3.59 0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.42/3.59 0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.42/3.59 0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.42/3.59 0 [] rel_str($c1).
% 3.42/3.59 0 [] top_str($c2).
% 3.42/3.59 0 [] one_sorted_str($c3).
% 3.42/3.59 0 [] -one_sorted_str(A)|net_str($f1(A),A).
% 3.42/3.59 0 [] relation_of2($f2(A,B),A,B).
% 3.42/3.59 0 [] element($f3(A),A).
% 3.42/3.59 0 [] relation_of2_as_subset($f4(A,B),A,B).
% 3.42/3.59 0 [] empty(empty_set).
% 3.42/3.59 0 [] relation(empty_set).
% 3.42/3.59 0 [] relation_empty_yielding(empty_set).
% 3.42/3.59 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.42/3.59 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.59 0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 3.42/3.59 0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.42/3.59 0 [] -empty(powerset(A)).
% 3.42/3.59 0 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.59 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.59 0 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] bounded_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] up_complete_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] join_complete_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] -v1_yellow_3(boole_POSet(A)).
% 3.42/3.59 0 [] distributive_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] heyting_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] complemented_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] boolean_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] with_infima_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] complete_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.59 0 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.59 0 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.59 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 3.42/3.59 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(filter_of_net_str(A,B)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty(filter_of_net_str(A,B)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|filtered_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|proper_element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.42/3.60 0 [] empty(empty_set).
% 3.42/3.60 0 [] relation(empty_set).
% 3.42/3.60 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.42/3.60 0 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 0 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|directed_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 3.42/3.60 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 3.42/3.60 0 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.60 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.60 0 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|open_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 0 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.60 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.60 0 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] bounded_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] with_infima_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] complete_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.60 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.60 0 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] bounded_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] directed_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] up_complete_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] join_complete_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] -v1_yellow_3(boole_POSet(A)).
% 3.42/3.60 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] with_infima_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] complete_relstr(boole_POSet(A)).
% 3.42/3.60 0 [] -top_str(A)|dense(cast_as_carrier_subset(A),A).
% 3.42/3.60 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -in(A,a_2_1_yellow19(B,C))|element($f5(A,B,C),powerset(the_carrier(B))).
% 3.42/3.60 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -in(A,a_2_1_yellow19(B,C))|A=$f5(A,B,C).
% 3.42/3.60 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -in(A,a_2_1_yellow19(B,C))|is_eventually_in(B,C,$f5(A,B,C)).
% 3.42/3.60 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)|in(A,a_2_1_yellow19(B,C))| -element(D,powerset(the_carrier(B)))|A!=D| -is_eventually_in(B,C,D).
% 3.42/3.60 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 3.42/3.60 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 3.42/3.60 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|A=E.
% 3.42/3.60 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|B=F.
% 3.42/3.60 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|C=G.
% 3.42/3.60 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|D=H.
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f6(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f6(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f6(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f6(A),A).
% 3.42/3.60 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f7(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f7(A)).
% 3.42/3.60 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f7(A),A).
% 3.42/3.60 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f7(A),A).
% 3.42/3.60 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f7(A),A).
% 3.42/3.60 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f7(A),A).
% 3.42/3.60 0 [] rel_str($c4).
% 3.42/3.60 0 [] -empty_carrier($c4).
% 3.42/3.60 0 [] reflexive_relstr($c4).
% 3.42/3.60 0 [] transitive_relstr($c4).
% 3.42/3.60 0 [] antisymmetric_relstr($c4).
% 3.42/3.60 0 [] connected_relstr($c4).
% 3.42/3.60 0 [] rel_str($c5).
% 3.42/3.60 0 [] -empty_carrier($c5).
% 3.42/3.60 0 [] strict_rel_str($c5).
% 3.42/3.60 0 [] reflexive_relstr($c5).
% 3.42/3.60 0 [] transitive_relstr($c5).
% 3.42/3.60 0 [] antisymmetric_relstr($c5).
% 3.42/3.60 0 [] with_suprema_relstr($c5).
% 3.42/3.60 0 [] with_infima_relstr($c5).
% 3.42/3.60 0 [] complete_relstr($c5).
% 3.42/3.60 0 [] lower_bounded_relstr($c5).
% 3.42/3.60 0 [] upper_bounded_relstr($c5).
% 3.42/3.60 0 [] bounded_relstr($c5).
% 3.42/3.60 0 [] up_complete_relstr($c5).
% 3.42/3.60 0 [] join_complete_relstr($c5).
% 3.42/3.60 0 [] -empty($c6).
% 3.42/3.60 0 [] finite($c6).
% 3.42/3.60 0 [] rel_str($c7).
% 3.42/3.60 0 [] -empty_carrier($c7).
% 3.42/3.60 0 [] strict_rel_str($c7).
% 3.42/3.60 0 [] reflexive_relstr($c7).
% 3.42/3.60 0 [] transitive_relstr($c7).
% 3.42/3.60 0 [] antisymmetric_relstr($c7).
% 3.42/3.60 0 [] complete_relstr($c7).
% 3.42/3.60 0 [] empty($c8).
% 3.42/3.60 0 [] relation($c8).
% 3.42/3.60 0 [] empty(A)|element($f8(A),powerset(A)).
% 3.42/3.60 0 [] empty(A)| -empty($f8(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|element($f9(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|open_subset($f9(A),A).
% 3.42/3.60 0 [] -rel_str(A)|element($f10(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -rel_str(A)|directed_subset($f10(A),A).
% 3.42/3.60 0 [] -rel_str(A)|filtered_subset($f10(A),A).
% 3.42/3.60 0 [] rel_str($c9).
% 3.42/3.60 0 [] -empty_carrier($c9).
% 3.42/3.60 0 [] -trivial_carrier($c9).
% 3.42/3.60 0 [] strict_rel_str($c9).
% 3.42/3.60 0 [] reflexive_relstr($c9).
% 3.42/3.60 0 [] transitive_relstr($c9).
% 3.42/3.60 0 [] antisymmetric_relstr($c9).
% 3.42/3.60 0 [] lower_bounded_relstr($c9).
% 3.42/3.60 0 [] upper_bounded_relstr($c9).
% 3.42/3.60 0 [] bounded_relstr($c9).
% 3.42/3.60 0 [] -v1_yellow_3($c9).
% 3.42/3.60 0 [] distributive_relstr($c9).
% 3.42/3.60 0 [] heyting_relstr($c9).
% 3.42/3.60 0 [] complemented_relstr($c9).
% 3.42/3.60 0 [] boolean_relstr($c9).
% 3.42/3.60 0 [] with_suprema_relstr($c9).
% 3.42/3.60 0 [] with_infima_relstr($c9).
% 3.42/3.60 0 [] rel_str($c10).
% 3.42/3.60 0 [] -empty_carrier($c10).
% 3.42/3.60 0 [] strict_rel_str($c10).
% 3.42/3.60 0 [] reflexive_relstr($c10).
% 3.42/3.60 0 [] transitive_relstr($c10).
% 3.42/3.60 0 [] antisymmetric_relstr($c10).
% 3.42/3.60 0 [] with_suprema_relstr($c10).
% 3.42/3.60 0 [] with_infima_relstr($c10).
% 3.42/3.60 0 [] complete_relstr($c10).
% 3.42/3.60 0 [] trivial_carrier($c10).
% 3.42/3.60 0 [] rel_str($c11).
% 3.42/3.60 0 [] -empty_carrier($c11).
% 3.42/3.60 0 [] strict_rel_str($c11).
% 3.42/3.60 0 [] reflexive_relstr($c11).
% 3.42/3.60 0 [] transitive_relstr($c11).
% 3.42/3.60 0 [] antisymmetric_relstr($c11).
% 3.42/3.60 0 [] with_suprema_relstr($c11).
% 3.42/3.60 0 [] with_infima_relstr($c11).
% 3.42/3.60 0 [] complete_relstr($c11).
% 3.42/3.60 0 [] -empty($c12).
% 3.42/3.60 0 [] relation($c12).
% 3.42/3.60 0 [] element($f11(A),powerset(A)).
% 3.42/3.60 0 [] empty($f11(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|element($f12(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|open_subset($f12(A),A).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|closed_subset($f12(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f13(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f13(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f13(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f13(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f13(A),A).
% 3.42/3.60 0 [] element($f14(A),powerset(powerset(A))).
% 3.42/3.60 0 [] -empty($f14(A)).
% 3.42/3.60 0 [] finite($f14(A)).
% 3.42/3.60 0 [] rel_str($c13).
% 3.42/3.60 0 [] -empty_carrier($c13).
% 3.42/3.60 0 [] reflexive_relstr($c13).
% 3.42/3.60 0 [] transitive_relstr($c13).
% 3.42/3.60 0 [] antisymmetric_relstr($c13).
% 3.42/3.60 0 [] with_suprema_relstr($c13).
% 3.42/3.60 0 [] with_infima_relstr($c13).
% 3.42/3.60 0 [] complete_relstr($c13).
% 3.42/3.60 0 [] lower_bounded_relstr($c13).
% 3.42/3.60 0 [] upper_bounded_relstr($c13).
% 3.42/3.60 0 [] bounded_relstr($c13).
% 3.42/3.60 0 [] empty(A)|element($f15(A),powerset(A)).
% 3.42/3.60 0 [] empty(A)| -empty($f15(A)).
% 3.42/3.60 0 [] empty(A)|finite($f15(A)).
% 3.42/3.60 0 [] relation($c14).
% 3.42/3.60 0 [] relation_empty_yielding($c14).
% 3.42/3.60 0 [] one_sorted_str($c15).
% 3.42/3.60 0 [] -empty_carrier($c15).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f16(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f16(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f16(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f16(A),A).
% 3.42/3.60 0 [] -one_sorted_str(A)|element($f17(A),powerset(powerset(the_carrier(A)))).
% 3.42/3.60 0 [] -one_sorted_str(A)| -empty($f17(A)).
% 3.42/3.60 0 [] -one_sorted_str(A)|finite($f17(A)).
% 3.42/3.60 0 [] empty(A)|element($f18(A),powerset(A)).
% 3.42/3.60 0 [] empty(A)| -empty($f18(A)).
% 3.42/3.60 0 [] empty(A)|finite($f18(A)).
% 3.42/3.60 0 [] -top_str(A)|element($f19(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -top_str(A)|empty($f19(A)).
% 3.42/3.60 0 [] -top_str(A)|v1_membered($f19(A)).
% 3.42/3.60 0 [] -top_str(A)|v2_membered($f19(A)).
% 3.42/3.60 0 [] -top_str(A)|v3_membered($f19(A)).
% 3.42/3.60 0 [] -top_str(A)|v4_membered($f19(A)).
% 3.42/3.60 0 [] -top_str(A)|v5_membered($f19(A)).
% 3.42/3.60 0 [] -top_str(A)|boundary_set($f19(A),A).
% 3.42/3.60 0 [] -one_sorted_str(A)|net_str($f20(A),A).
% 3.42/3.60 0 [] -one_sorted_str(A)|strict_net_str($f20(A),A).
% 3.42/3.60 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f21(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f21(A)).
% 3.42/3.60 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f21(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|filtered_subset($f21(A),A).
% 3.42/3.60 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|upper_relstr_subset($f21(A),A).
% 3.42/3.60 0 [] rel_str($c16).
% 3.42/3.60 0 [] -empty_carrier($c16).
% 3.42/3.60 0 [] strict_rel_str($c16).
% 3.42/3.60 0 [] transitive_relstr($c16).
% 3.42/3.60 0 [] directed_relstr($c16).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f22(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f22(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|element($f23(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|empty($f23(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|open_subset($f23(A),A).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|closed_subset($f23(A),A).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|v1_membered($f23(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|v2_membered($f23(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|v3_membered($f23(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|v4_membered($f23(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|v5_membered($f23(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|boundary_set($f23(A),A).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|nowhere_dense($f23(A),A).
% 3.42/3.60 0 [] -one_sorted_str(A)|net_str($f24(A),A).
% 3.42/3.60 0 [] -one_sorted_str(A)| -empty_carrier($f24(A)).
% 3.42/3.60 0 [] -one_sorted_str(A)|reflexive_relstr($f24(A)).
% 3.42/3.60 0 [] -one_sorted_str(A)|transitive_relstr($f24(A)).
% 3.42/3.60 0 [] -one_sorted_str(A)|antisymmetric_relstr($f24(A)).
% 3.42/3.60 0 [] -one_sorted_str(A)|strict_net_str($f24(A),A).
% 3.42/3.60 0 [] -one_sorted_str(A)|directed_relstr($f24(A)).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|element($f25(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -topological_space(A)| -top_str(A)|closed_subset($f25(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f26(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f26(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f26(A),A).
% 3.42/3.60 0 [] -rel_str(A)|element($f27(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] -rel_str(A)|lower_relstr_subset($f27(A),A).
% 3.42/3.60 0 [] -rel_str(A)|upper_relstr_subset($f27(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -rel_str(A)|element($f28(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -rel_str(A)| -empty($f28(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f28(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f28(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f29(A),powerset(the_carrier(A))).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f29(A)).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f29(A),A).
% 3.42/3.60 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f29(A),A).
% 3.42/3.60 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 3.42/3.60 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 3.42/3.60 0 [] subset(A,A).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(A))| -in(C,lim_points_of_net(A,B))|is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C).
% 3.42/3.60 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(A))|in(C,lim_points_of_net(A,B))| -is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C).
% 3.42/3.60 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))|B=filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)).
% 3.42/3.60 0 [] -empty_carrier($c19).
% 3.42/3.60 0 [] topological_space($c19).
% 3.42/3.60 0 [] top_str($c19).
% 3.42/3.60 0 [] -empty($c18).
% 3.42/3.60 0 [] filtered_subset($c18,boole_POSet(cast_as_carrier_subset($c19))).
% 3.42/3.60 0 [] upper_relstr_subset($c18,boole_POSet(cast_as_carrier_subset($c19))).
% 3.42/3.60 0 [] proper_element($c18,powerset(the_carrier(boole_POSet(cast_as_carrier_subset($c19))))).
% 3.42/3.60 0 [] element($c18,powerset(the_carrier(boole_POSet(cast_as_carrier_subset($c19))))).
% 3.42/3.60 0 [] element($c17,the_carrier($c19)).
% 3.42/3.60 0 [] in($c17,lim_points_of_net($c19,net_of_bool_filter($c19,cast_as_carrier_subset($c19),$c18)))|is_a_convergence_point_of_set($c19,$c18,$c17).
% 3.42/3.60 0 [] -in($c17,lim_points_of_net($c19,net_of_bool_filter($c19,cast_as_carrier_subset($c19),$c18)))| -is_a_convergence_point_of_set($c19,$c18,$c17).
% 3.42/3.60 0 [] -in(A,B)|element(A,B).
% 3.42/3.60 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.42/3.60 0 [] in($f30(A,B),A)|in($f30(A,B),B)|A=B.
% 3.42/3.60 0 [] -in($f30(A,B),A)| -in($f30(A,B),B)|A=B.
% 3.42/3.60 0 [] -element(A,powerset(B))|subset(A,B).
% 3.42/3.60 0 [] element(A,powerset(B))| -subset(A,B).
% 3.42/3.60 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.42/3.60 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.42/3.60 0 [] -empty(A)|A=empty_set.
% 3.42/3.60 0 [] -in(A,B)| -empty(B).
% 3.42/3.60 0 [] -empty(A)|A=B| -empty(B).
% 3.42/3.60 end_of_list.
% 3.42/3.60
% 3.42/3.60 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 3.42/3.60
% 3.42/3.60 This ia a non-Horn set with equality. The strategy will be
% 3.42/3.60 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.42/3.60 deletion, with positive clauses in sos and nonpositive
% 3.42/3.60 clauses in usable.
% 3.42/3.60
% 3.42/3.60 dependent: set(knuth_bendix).
% 3.42/3.60 dependent: set(anl_eq).
% 3.42/3.60 dependent: set(para_from).
% 3.42/3.60 dependent: set(para_into).
% 3.42/3.60 dependent: clear(para_from_right).
% 3.42/3.60 dependent: clear(para_into_right).
% 3.42/3.60 dependent: set(para_from_vars).
% 3.42/3.60 dependent: set(eq_units_both_ways).
% 3.42/3.60 dependent: set(dynamic_demod_all).
% 3.42/3.60 dependent: set(dynamic_demod).
% 3.42/3.60 dependent: set(order_eq).
% 3.42/3.60 dependent: set(back_demod).
% 3.42/3.60 dependent: set(lrpo).
% 3.42/3.60 dependent: set(hyper_res).
% 3.42/3.60 dependent: set(unit_deletion).
% 3.42/3.60 dependent: set(factor).
% 3.42/3.60
% 3.42/3.60 ------------> process usable:
% 3.42/3.60 ** KEPT (pick-wt=11): 2 [copy,1,flip.3] -rel_str(A)| -strict_rel_str(A)|rel_str_of(the_carrier(A),the_InternalRel(A))=A.
% 3.42/3.60 ** KEPT (pick-wt=19): 4 [copy,3,flip.4] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B))=B.
% 3.42/3.60 ** KEPT (pick-wt=6): 5 [] -in(A,B)| -in(B,A).
% 3.42/3.60 ** KEPT (pick-wt=10): 6 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=10): 7 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=10): 8 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=18): 9 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|with_infima_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=18): 10 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|complete_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=18): 11 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=18): 12 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=12): 13 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=14): 14 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=4): 15 [] -empty(A)|finite(A).
% 3.42/3.60 ** KEPT (pick-wt=6): 16 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 3.42/3.60 ** KEPT (pick-wt=4): 17 [] -empty(A)|relation(A).
% 3.42/3.60 ** KEPT (pick-wt=8): 18 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 3.42/3.60 ** KEPT (pick-wt=14): 19 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.42/3.60 ** KEPT (pick-wt=14): 20 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.42/3.60 ** KEPT (pick-wt=8): 21 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=8): 22 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=8): 23 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.42/3.60 ** KEPT (pick-wt=6): 24 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 3.42/3.60 ** KEPT (pick-wt=12): 25 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.42/3.60 ** KEPT (pick-wt=10): 26 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=10): 27 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=10): 28 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=14): 29 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.42/3.60 ** KEPT (pick-wt=8): 30 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=15): 31 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.42/3.60 ** KEPT (pick-wt=6): 32 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=6): 33 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=18): 34 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)| -boundary_set(B,A)|nowhere_dense(B,A).
% 3.42/3.60 ** KEPT (pick-wt=10): 35 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=8): 36 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=17): 37 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.42/3.60 ** KEPT (pick-wt=18): 38 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|closed_subset(B,A).
% 3.42/3.60 ** KEPT (pick-wt=17): 39 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 3.42/3.60 ** KEPT (pick-wt=17): 40 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.42/3.60 ** KEPT (pick-wt=17): 41 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 3.42/3.60 ** KEPT (pick-wt=17): 42 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 3.42/3.60 ** KEPT (pick-wt=17): 43 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 3.42/3.60 Following clause subsumed by 31 during input processing: 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.42/3.60 Following clause subsumed by 16 during input processing: 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 3.42/3.60 ** KEPT (pick-wt=10): 44 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.42/3.60 ** KEPT (pick-wt=16): 45 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|filter_of_net_str(A,B)=a_2_1_yellow19(A,B).
% 3.42/3.60 ** KEPT (pick-wt=8): 46 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 3.42/3.60 ** KEPT (pick-wt=8): 47 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 3.42/3.60 ** KEPT (pick-wt=25): 48 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|strict_net_str(net_str_of(A,C,B,D),A).
% 3.42/3.60 ** KEPT (pick-wt=25): 49 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str(net_str_of(A,C,B,D),A).
% 3.42/3.60 ** KEPT (pick-wt=22): 50 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element(lim_points_of_net(A,B),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=8): 51 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=18): 52 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.42/3.60 ** KEPT (pick-wt=32): 53 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.42/3.60 ** KEPT (pick-wt=33): 54 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.60 ** KEPT (pick-wt=33): 55 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.60 ** KEPT (pick-wt=4): 56 [] -rel_str(A)|one_sorted_str(A).
% 3.42/3.60 ** KEPT (pick-wt=4): 57 [] -top_str(A)|one_sorted_str(A).
% 3.42/3.60 ** KEPT (pick-wt=7): 58 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 3.42/3.60 ** KEPT (pick-wt=10): 59 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 3.42/3.60 ** KEPT (pick-wt=9): 60 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.42/3.60 ** KEPT (pick-wt=9): 61 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.42/3.60 ** KEPT (pick-wt=13): 62 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.42/3.60 ** KEPT (pick-wt=13): 63 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.42/3.60 ** KEPT (pick-wt=6): 64 [] -one_sorted_str(A)|net_str($f1(A),A).
% 3.42/3.60 ** KEPT (pick-wt=8): 65 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.42/3.60 ** KEPT (pick-wt=7): 66 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 ** KEPT (pick-wt=8): 67 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 ** KEPT (pick-wt=8): 68 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 ** KEPT (pick-wt=13): 69 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 3.42/3.60 ** KEPT (pick-wt=13): 70 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 3.42/3.60 Following clause subsumed by 61 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.42/3.60 Following clause subsumed by 62 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.42/3.60 ** KEPT (pick-wt=7): 71 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.42/3.60 ** KEPT (pick-wt=3): 72 [] -empty(powerset(A)).
% 3.42/3.60 ** KEPT (pick-wt=3): 73 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.60 ** KEPT (pick-wt=3): 74 [] -v1_yellow_3(boole_POSet(A)).
% 3.42/3.60 ** KEPT (pick-wt=7): 75 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 ** KEPT (pick-wt=7): 76 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 ** KEPT (pick-wt=8): 77 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 Following clause subsumed by 73 during input processing: 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 3.42/3.60 ** KEPT (pick-wt=5): 78 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 3.42/3.60 Following clause subsumed by 74 during input processing: 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 3.42/3.60 ** KEPT (pick-wt=13): 79 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(filter_of_net_str(A,B)).
% 3.42/3.60 ** KEPT (pick-wt=16): 80 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.42/3.60 Following clause subsumed by 66 during input processing: 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 Following clause subsumed by 66 during input processing: 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 ** KEPT (pick-wt=10): 81 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 Following clause subsumed by 79 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty(filter_of_net_str(A,B)).
% 3.42/3.60 ** KEPT (pick-wt=20): 82 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|filtered_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.42/3.60 Following clause subsumed by 80 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.42/3.60 ** KEPT (pick-wt=22): 83 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|proper_element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.42/3.60 ** KEPT (pick-wt=8): 84 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.42/3.60 ** KEPT (pick-wt=7): 85 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 ** KEPT (pick-wt=8): 86 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 Following clause subsumed by 53 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.42/3.60 ** KEPT (pick-wt=32): 87 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 ** KEPT (pick-wt=32): 88 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 Following clause subsumed by 54 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.60 ** KEPT (pick-wt=8): 89 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 Following clause subsumed by 66 during input processing: 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.42/3.60 ** KEPT (pick-wt=10): 90 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 Following clause subsumed by 53 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.42/3.60 Following clause subsumed by 87 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 Following clause subsumed by 88 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 Following clause subsumed by 54 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.42/3.60 ** KEPT (pick-wt=38): 91 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|directed_relstr(net_of_bool_filter(A,B,C)).
% 3.42/3.60 ** KEPT (pick-wt=26): 92 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 3.42/3.60 Following clause subsumed by 48 during input processing: 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 3.42/3.60 Following clause subsumed by 73 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.60 ** KEPT (pick-wt=8): 93 [] -topological_space(A)| -top_str(A)|open_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 Following clause subsumed by 89 during input processing: 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.42/3.60 Following clause subsumed by 73 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.60 Following clause subsumed by 73 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.42/3.60 Following clause subsumed by 74 during input processing: 0 [] -v1_yellow_3(boole_POSet(A)).
% 3.42/3.60 ** KEPT (pick-wt=6): 94 [] -top_str(A)|dense(cast_as_carrier_subset(A),A).
% 3.42/3.60 ** KEPT (pick-wt=22): 95 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -in(C,a_2_1_yellow19(A,B))|element($f5(C,A,B),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=20): 97 [copy,96,flip.6] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -in(C,a_2_1_yellow19(A,B))|$f5(C,A,B)=C.
% 3.42/3.60 ** KEPT (pick-wt=21): 98 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -in(C,a_2_1_yellow19(A,B))|is_eventually_in(A,B,$f5(C,A,B)).
% 3.42/3.60 ** KEPT (pick-wt=26): 99 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|in(C,a_2_1_yellow19(A,B))| -element(D,powerset(the_carrier(A)))|C!=D| -is_eventually_in(A,B,D).
% 3.42/3.60 ** KEPT (pick-wt=14): 100 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 3.42/3.60 ** KEPT (pick-wt=14): 101 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 3.42/3.60 ** KEPT (pick-wt=32): 102 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|A=E.
% 3.42/3.60 ** KEPT (pick-wt=32): 103 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|C=F.
% 3.42/3.60 ** KEPT (pick-wt=32): 104 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|B=G.
% 3.42/3.60 ** KEPT (pick-wt=32): 105 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|D=H.
% 3.42/3.60 ** KEPT (pick-wt=14): 106 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f6(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=11): 107 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f6(A)).
% 3.42/3.60 ** KEPT (pick-wt=12): 108 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f6(A),A).
% 3.42/3.60 ** KEPT (pick-wt=12): 109 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f6(A),A).
% 3.42/3.60 ** KEPT (pick-wt=18): 110 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f7(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=15): 111 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f7(A)).
% 3.42/3.60 ** KEPT (pick-wt=16): 112 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f7(A),A).
% 3.42/3.60 ** KEPT (pick-wt=16): 113 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f7(A),A).
% 3.42/3.60 ** KEPT (pick-wt=16): 114 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f7(A),A).
% 3.42/3.60 ** KEPT (pick-wt=16): 115 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f7(A),A).
% 3.42/3.60 ** KEPT (pick-wt=2): 116 [] -empty_carrier($c4).
% 3.42/3.60 ** KEPT (pick-wt=2): 117 [] -empty_carrier($c5).
% 3.42/3.60 ** KEPT (pick-wt=2): 118 [] -empty($c6).
% 3.42/3.60 ** KEPT (pick-wt=2): 119 [] -empty_carrier($c7).
% 3.42/3.60 ** KEPT (pick-wt=5): 120 [] empty(A)| -empty($f8(A)).
% 3.42/3.60 ** KEPT (pick-wt=10): 121 [] -topological_space(A)| -top_str(A)|element($f9(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=8): 122 [] -topological_space(A)| -top_str(A)|open_subset($f9(A),A).
% 3.42/3.60 ** KEPT (pick-wt=8): 123 [] -rel_str(A)|element($f10(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=6): 124 [] -rel_str(A)|directed_subset($f10(A),A).
% 3.42/3.60 ** KEPT (pick-wt=6): 125 [] -rel_str(A)|filtered_subset($f10(A),A).
% 3.42/3.60 ** KEPT (pick-wt=2): 126 [] -empty_carrier($c9).
% 3.42/3.60 ** KEPT (pick-wt=2): 127 [] -trivial_carrier($c9).
% 3.42/3.60 ** KEPT (pick-wt=2): 128 [] -v1_yellow_3($c9).
% 3.42/3.60 ** KEPT (pick-wt=2): 129 [] -empty_carrier($c10).
% 3.42/3.60 ** KEPT (pick-wt=2): 130 [] -empty_carrier($c11).
% 3.42/3.60 ** KEPT (pick-wt=2): 131 [] -empty($c12).
% 3.42/3.60 ** KEPT (pick-wt=10): 132 [] -topological_space(A)| -top_str(A)|element($f12(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=8): 133 [] -topological_space(A)| -top_str(A)|open_subset($f12(A),A).
% 3.42/3.60 ** KEPT (pick-wt=8): 134 [] -topological_space(A)| -top_str(A)|closed_subset($f12(A),A).
% 3.42/3.60 ** KEPT (pick-wt=12): 135 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f13(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=9): 136 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f13(A)).
% 3.42/3.60 ** KEPT (pick-wt=9): 137 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f13(A)).
% 3.42/3.60 ** KEPT (pick-wt=10): 138 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f13(A),A).
% 3.42/3.60 ** KEPT (pick-wt=10): 139 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f13(A),A).
% 3.42/3.60 ** KEPT (pick-wt=3): 140 [] -empty($f14(A)).
% 3.42/3.60 ** KEPT (pick-wt=2): 141 [] -empty_carrier($c13).
% 3.42/3.60 ** KEPT (pick-wt=5): 142 [] empty(A)| -empty($f15(A)).
% 3.42/3.60 ** KEPT (pick-wt=2): 143 [] -empty_carrier($c15).
% 3.42/3.60 ** KEPT (pick-wt=12): 144 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f16(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=9): 145 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f16(A)).
% 3.42/3.60 ** KEPT (pick-wt=10): 146 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f16(A),A).
% 3.42/3.60 ** KEPT (pick-wt=10): 147 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f16(A),A).
% 3.42/3.60 ** KEPT (pick-wt=9): 148 [] -one_sorted_str(A)|element($f17(A),powerset(powerset(the_carrier(A)))).
% 3.42/3.60 ** KEPT (pick-wt=5): 149 [] -one_sorted_str(A)| -empty($f17(A)).
% 3.42/3.60 ** KEPT (pick-wt=5): 150 [] -one_sorted_str(A)|finite($f17(A)).
% 3.42/3.60 ** KEPT (pick-wt=5): 151 [] empty(A)| -empty($f18(A)).
% 3.42/3.60 ** KEPT (pick-wt=8): 152 [] -top_str(A)|element($f19(A),powerset(the_carrier(A))).
% 3.42/3.60 ** KEPT (pick-wt=5): 153 [] -top_str(A)|empty($f19(A)).
% 3.42/3.60 ** KEPT (pick-wt=5): 154 [] -top_str(A)|v1_membered($f19(A)).
% 3.42/3.60 ** KEPT (pick-wt=5): 155 [] -top_str(A)|v2_membered($f19(A)).
% 3.42/3.60 ** KEPT (pick-wt=5): 156 [] -top_str(A)|v3_membered($f19(A)).
% 3.42/3.61 ** KEPT (pick-wt=5): 157 [] -top_str(A)|v4_membered($f19(A)).
% 3.42/3.61 ** KEPT (pick-wt=5): 158 [] -top_str(A)|v5_membered($f19(A)).
% 3.42/3.61 ** KEPT (pick-wt=6): 159 [] -top_str(A)|boundary_set($f19(A),A).
% 3.42/3.61 ** KEPT (pick-wt=6): 160 [] -one_sorted_str(A)|net_str($f20(A),A).
% 3.42/3.61 ** KEPT (pick-wt=6): 161 [] -one_sorted_str(A)|strict_net_str($f20(A),A).
% 3.42/3.61 ** KEPT (pick-wt=20): 162 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f21(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=17): 163 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f21(A)).
% 3.42/3.61 ** KEPT (pick-wt=20): 164 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f21(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=18): 165 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|filtered_subset($f21(A),A).
% 3.42/3.61 ** KEPT (pick-wt=18): 166 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|upper_relstr_subset($f21(A),A).
% 3.42/3.61 ** KEPT (pick-wt=2): 167 [] -empty_carrier($c16).
% 3.42/3.61 ** KEPT (pick-wt=10): 168 [] empty_carrier(A)| -one_sorted_str(A)|element($f22(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=7): 169 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f22(A)).
% 3.42/3.61 ** KEPT (pick-wt=10): 170 [] -topological_space(A)| -top_str(A)|element($f23(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=7): 171 [] -topological_space(A)| -top_str(A)|empty($f23(A)).
% 3.42/3.61 ** KEPT (pick-wt=8): 172 [] -topological_space(A)| -top_str(A)|open_subset($f23(A),A).
% 3.42/3.61 ** KEPT (pick-wt=8): 173 [] -topological_space(A)| -top_str(A)|closed_subset($f23(A),A).
% 3.42/3.61 ** KEPT (pick-wt=7): 174 [] -topological_space(A)| -top_str(A)|v1_membered($f23(A)).
% 3.42/3.61 ** KEPT (pick-wt=7): 175 [] -topological_space(A)| -top_str(A)|v2_membered($f23(A)).
% 3.42/3.61 ** KEPT (pick-wt=7): 176 [] -topological_space(A)| -top_str(A)|v3_membered($f23(A)).
% 3.42/3.61 ** KEPT (pick-wt=7): 177 [] -topological_space(A)| -top_str(A)|v4_membered($f23(A)).
% 3.42/3.61 ** KEPT (pick-wt=7): 178 [] -topological_space(A)| -top_str(A)|v5_membered($f23(A)).
% 3.42/3.61 ** KEPT (pick-wt=8): 179 [] -topological_space(A)| -top_str(A)|boundary_set($f23(A),A).
% 3.42/3.61 ** KEPT (pick-wt=8): 180 [] -topological_space(A)| -top_str(A)|nowhere_dense($f23(A),A).
% 3.42/3.61 ** KEPT (pick-wt=6): 181 [] -one_sorted_str(A)|net_str($f24(A),A).
% 3.42/3.61 ** KEPT (pick-wt=5): 182 [] -one_sorted_str(A)| -empty_carrier($f24(A)).
% 3.42/3.61 ** KEPT (pick-wt=5): 183 [] -one_sorted_str(A)|reflexive_relstr($f24(A)).
% 3.42/3.61 ** KEPT (pick-wt=5): 184 [] -one_sorted_str(A)|transitive_relstr($f24(A)).
% 3.42/3.61 ** KEPT (pick-wt=5): 185 [] -one_sorted_str(A)|antisymmetric_relstr($f24(A)).
% 3.42/3.61 ** KEPT (pick-wt=6): 186 [] -one_sorted_str(A)|strict_net_str($f24(A),A).
% 3.42/3.61 ** KEPT (pick-wt=5): 187 [] -one_sorted_str(A)|directed_relstr($f24(A)).
% 3.42/3.61 ** KEPT (pick-wt=10): 188 [] -topological_space(A)| -top_str(A)|element($f25(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=8): 189 [] -topological_space(A)| -top_str(A)|closed_subset($f25(A),A).
% 3.42/3.61 ** KEPT (pick-wt=12): 190 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f26(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=9): 191 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f26(A)).
% 3.42/3.61 ** KEPT (pick-wt=10): 192 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f26(A),A).
% 3.42/3.61 ** KEPT (pick-wt=8): 193 [] -rel_str(A)|element($f27(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=6): 194 [] -rel_str(A)|lower_relstr_subset($f27(A),A).
% 3.42/3.61 ** KEPT (pick-wt=6): 195 [] -rel_str(A)|upper_relstr_subset($f27(A),A).
% 3.42/3.61 ** KEPT (pick-wt=10): 196 [] empty_carrier(A)| -rel_str(A)|element($f28(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=7): 197 [] empty_carrier(A)| -rel_str(A)| -empty($f28(A)).
% 3.42/3.61 ** KEPT (pick-wt=8): 198 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f28(A),A).
% 3.42/3.61 ** KEPT (pick-wt=8): 199 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f28(A),A).
% 3.42/3.61 ** KEPT (pick-wt=14): 200 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f29(A),powerset(the_carrier(A))).
% 3.42/3.61 ** KEPT (pick-wt=11): 201 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f29(A)).
% 3.42/3.61 ** KEPT (pick-wt=12): 202 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f29(A),A).
% 3.42/3.61 ** KEPT (pick-wt=12): 203 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f29(A),A).
% 3.42/3.61 ** KEPT (pick-wt=8): 204 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 3.42/3.61 ** KEPT (pick-wt=8): 205 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 3.42/3.61 ** KEPT (pick-wt=30): 206 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(A))| -in(C,lim_points_of_net(A,B))|is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C).
% 3.42/3.61 ** KEPT (pick-wt=30): 207 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(A))|in(C,lim_points_of_net(A,B))| -is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C).
% 3.42/3.61 ** KEPT (pick-wt=39): 209 [copy,208,flip.8] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))|filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B))=B.
% 3.42/3.61 ** KEPT (pick-wt=2): 210 [] -empty_carrier($c19).
% 3.42/3.61 ** KEPT (pick-wt=2): 211 [] -empty($c18).
% 3.42/3.61 ** KEPT (pick-wt=13): 212 [] -in($c17,lim_points_of_net($c19,net_of_bool_filter($c19,cast_as_carrier_subset($c19),$c18)))| -is_a_convergence_point_of_set($c19,$c18,$c17).
% 3.42/3.61 ** KEPT (pick-wt=6): 213 [] -in(A,B)|element(A,B).
% 3.42/3.61 ** KEPT (pick-wt=8): 214 [] -element(A,B)|empty(B)|in(A,B).
% 3.42/3.61 ** KEPT (pick-wt=13): 215 [] -in($f30(A,B),A)| -in($f30(A,B),B)|A=B.
% 3.42/3.61 ** KEPT (pick-wt=7): 216 [] -element(A,powerset(B))|subset(A,B).
% 3.42/3.61 ** KEPT (pick-wt=7): 217 [] element(A,powerset(B))| -subset(A,B).
% 3.42/3.61 ** KEPT (pick-wt=10): 218 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.42/3.61 ** KEPT (pick-wt=9): 219 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.42/3.61 ** KEPT (pick-wt=5): 220 [] -empty(A)|A=empty_set.
% 3.42/3.61 ** KEPT (pick-wt=5): 221 [] -in(A,B)| -empty(B).
% 3.42/3.61 ** KEPT (pick-wt=7): 222 [] -empty(A)|A=B| -empty(B).
% 3.42/3.61 44 back subsumes 11.
% 3.42/3.61
% 3.42/3.61 ------------> process sos:
% 3.42/3.61 ** KEPT (pick-wt=3): 262 [] A=A.
% 3.42/3.61 ** KEPT (pick-wt=3): 263 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 264 [] rel_str(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=2): 265 [] rel_str($c1).
% 3.42/3.61 ** KEPT (pick-wt=2): 266 [] top_str($c2).
% 3.42/3.61 ** KEPT (pick-wt=2): 267 [] one_sorted_str($c3).
% 3.42/3.61 ** KEPT (pick-wt=6): 268 [] relation_of2($f2(A,B),A,B).
% 3.42/3.61 ** KEPT (pick-wt=4): 269 [] element($f3(A),A).
% 3.42/3.61 ** KEPT (pick-wt=6): 270 [] relation_of2_as_subset($f4(A,B),A,B).
% 3.42/3.61 ** KEPT (pick-wt=2): 271 [] empty(empty_set).
% 3.42/3.61 ** KEPT (pick-wt=2): 272 [] relation(empty_set).
% 3.42/3.61 ** KEPT (pick-wt=2): 273 [] relation_empty_yielding(empty_set).
% 3.42/3.61 Following clause subsumed by 263 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 274 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 275 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 276 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 277 [] lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 278 [] upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 279 [] bounded_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 280 [] up_complete_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 281 [] join_complete_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 282 [] distributive_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 283 [] heyting_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 284 [] complemented_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 285 [] boolean_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 286 [] with_suprema_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 287 [] with_infima_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 288 [] complete_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 263 during input processing: 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 274 during input processing: 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 275 during input processing: 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 276 during input processing: 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 277 during input processing: 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 278 during input processing: 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 279 during input processing: 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 280 during input processing: 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 281 during input processing: 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 282 during input processing: 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 283 during input processing: 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 284 during input processing: 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 285 during input processing: 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 286 during input processing: 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 287 during input processing: 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 288 during input processing: 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 271 during input processing: 0 [] empty(empty_set).
% 3.42/3.61 Following clause subsumed by 272 during input processing: 0 [] relation(empty_set).
% 3.42/3.61 Following clause subsumed by 263 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 274 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 275 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 276 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 263 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 274 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 275 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 276 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 277 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 278 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 279 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 286 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 287 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 288 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 263 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 274 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 275 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 276 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 277 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 278 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 279 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 289 [] directed_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 280 during input processing: 0 [] up_complete_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 281 during input processing: 0 [] join_complete_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 286 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 287 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 3.42/3.61 Following clause subsumed by 288 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 3.42/3.61 ** KEPT (pick-wt=2): 290 [] rel_str($c4).
% 3.42/3.61 ** KEPT (pick-wt=2): 291 [] reflexive_relstr($c4).
% 3.42/3.61 ** KEPT (pick-wt=2): 292 [] transitive_relstr($c4).
% 3.42/3.61 ** KEPT (pick-wt=2): 293 [] antisymmetric_relstr($c4).
% 3.42/3.61 ** KEPT (pick-wt=2): 294 [] connected_relstr($c4).
% 3.42/3.61 ** KEPT (pick-wt=2): 295 [] rel_str($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 296 [] strict_rel_str($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 297 [] reflexive_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 298 [] transitive_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 299 [] antisymmetric_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 300 [] with_suprema_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 301 [] with_infima_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 302 [] complete_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 303 [] lower_bounded_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 304 [] upper_bounded_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 305 [] bounded_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 306 [] up_complete_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 307 [] join_complete_relstr($c5).
% 3.42/3.61 ** KEPT (pick-wt=2): 308 [] finite($c6).
% 3.42/3.61 ** KEPT (pick-wt=2): 309 [] rel_str($c7).
% 3.42/3.61 ** KEPT (pick-wt=2): 310 [] strict_rel_str($c7).
% 3.42/3.61 ** KEPT (pick-wt=2): 311 [] reflexive_relstr($c7).
% 3.42/3.61 ** KEPT (pick-wt=2): 312 [] transitive_relstr($c7).
% 3.42/3.61 ** KEPT (pick-wt=2): 313 [] antisymmetric_relstr($c7).
% 3.42/3.61 ** KEPT (pick-wt=2): 314 [] complete_relstr($c7).
% 3.42/3.61 ** KEPT (pick-wt=2): 315 [] empty($c8).
% 3.42/3.61 ** KEPT (pick-wt=2): 316 [] relation($c8).
% 3.42/3.61 ** KEPT (pick-wt=7): 317 [] empty(A)|element($f8(A),powerset(A)).
% 3.42/3.61 ** KEPT (pick-wt=2): 318 [] rel_str($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 319 [] strict_rel_str($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 320 [] reflexive_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 321 [] transitive_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 322 [] antisymmetric_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 323 [] lower_bounded_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 324 [] upper_bounded_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 325 [] bounded_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 326 [] distributive_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 327 [] heyting_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 328 [] complemented_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 329 [] boolean_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 330 [] with_suprema_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 331 [] with_infima_relstr($c9).
% 3.42/3.61 ** KEPT (pick-wt=2): 332 [] rel_str($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 333 [] strict_rel_str($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 334 [] reflexive_relstr($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 335 [] transitive_relstr($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 336 [] antisymmetric_relstr($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 337 [] with_suprema_relstr($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 338 [] with_infima_relstr($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 339 [] complete_relstr($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 340 [] trivial_carrier($c10).
% 3.42/3.61 ** KEPT (pick-wt=2): 341 [] rel_str($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 342 [] strict_rel_str($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 343 [] reflexive_relstr($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 344 [] transitive_relstr($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 345 [] antisymmetric_relstr($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 346 [] with_suprema_relstr($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 347 [] with_infima_relstr($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 348 [] complete_relstr($c11).
% 3.42/3.61 ** KEPT (pick-wt=2): 349 [] relation($c12).
% 3.42/3.61 ** KEPT (pick-wt=5): 350 [] element($f11(A),powerset(A)).
% 3.42/3.61 ** KEPT (pick-wt=3): 351 [] empty($f11(A)).
% 3.42/3.61 ** KEPT (pick-wt=6): 352 [] element($f14(A),powerset(powerset(A))).
% 3.42/3.61 ** KEPT (pick-wt=3): 353 [] finite($f14(A)).
% 3.71/3.88 ** KEPT (pick-wt=2): 354 [] rel_str($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 355 [] reflexive_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 356 [] transitive_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 357 [] antisymmetric_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 358 [] with_suprema_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 359 [] with_infima_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 360 [] complete_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 361 [] lower_bounded_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 362 [] upper_bounded_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=2): 363 [] bounded_relstr($c13).
% 3.71/3.88 ** KEPT (pick-wt=7): 364 [] empty(A)|element($f15(A),powerset(A)).
% 3.71/3.88 ** KEPT (pick-wt=5): 365 [] empty(A)|finite($f15(A)).
% 3.71/3.88 ** KEPT (pick-wt=2): 366 [] relation($c14).
% 3.71/3.88 ** KEPT (pick-wt=2): 367 [] relation_empty_yielding($c14).
% 3.71/3.88 ** KEPT (pick-wt=2): 368 [] one_sorted_str($c15).
% 3.71/3.88 ** KEPT (pick-wt=7): 369 [] empty(A)|element($f18(A),powerset(A)).
% 3.71/3.88 ** KEPT (pick-wt=5): 370 [] empty(A)|finite($f18(A)).
% 3.71/3.88 ** KEPT (pick-wt=2): 371 [] rel_str($c16).
% 3.71/3.88 ** KEPT (pick-wt=2): 372 [] strict_rel_str($c16).
% 3.71/3.88 ** KEPT (pick-wt=2): 373 [] transitive_relstr($c16).
% 3.71/3.88 ** KEPT (pick-wt=2): 374 [] directed_relstr($c16).
% 3.71/3.88 ** KEPT (pick-wt=3): 375 [] subset(A,A).
% 3.71/3.88 ** KEPT (pick-wt=2): 376 [] topological_space($c19).
% 3.71/3.88 ** KEPT (pick-wt=2): 377 [] top_str($c19).
% 3.71/3.88 ** KEPT (pick-wt=5): 378 [] filtered_subset($c18,boole_POSet(cast_as_carrier_subset($c19))).
% 3.71/3.88 ** KEPT (pick-wt=5): 379 [] upper_relstr_subset($c18,boole_POSet(cast_as_carrier_subset($c19))).
% 3.71/3.88 ** KEPT (pick-wt=7): 380 [] proper_element($c18,powerset(the_carrier(boole_POSet(cast_as_carrier_subset($c19))))).
% 3.71/3.88 ** KEPT (pick-wt=7): 381 [] element($c18,powerset(the_carrier(boole_POSet(cast_as_carrier_subset($c19))))).
% 3.71/3.88 ** KEPT (pick-wt=4): 382 [] element($c17,the_carrier($c19)).
% 3.71/3.88 ** KEPT (pick-wt=13): 383 [] in($c17,lim_points_of_net($c19,net_of_bool_filter($c19,cast_as_carrier_subset($c19),$c18)))|is_a_convergence_point_of_set($c19,$c18,$c17).
% 3.71/3.88 ** KEPT (pick-wt=13): 384 [] in($f30(A,B),A)|in($f30(A,B),B)|A=B.
% 3.71/3.88 Following clause subsumed by 262 during input processing: 0 [copy,262,flip.1] A=A.
% 3.71/3.88 262 back subsumes 261.
% 3.71/3.88 262 back subsumes 260.
% 3.71/3.88
% 3.71/3.88 ======= end of input processing =======
% 3.71/3.88
% 3.71/3.88 =========== start of search ===========
% 3.71/3.88
% 3.71/3.88
% 3.71/3.88 Resetting weight limit to 2.
% 3.71/3.88
% 3.71/3.88
% 3.71/3.88 Resetting weight limit to 2.
% 3.71/3.88
% 3.71/3.88 sos_size=211
% 3.71/3.88
% 3.71/3.88 Search stopped because sos empty.
% 3.71/3.88
% 3.71/3.88
% 3.71/3.88 Search stopped because sos empty.
% 3.71/3.88
% 3.71/3.88 ============ end of search ============
% 3.71/3.88
% 3.71/3.88 -------------- statistics -------------
% 3.71/3.88 clauses given 253
% 3.71/3.88 clauses generated 11209
% 3.71/3.88 clauses kept 510
% 3.71/3.88 clauses forward subsumed 185
% 3.71/3.88 clauses back subsumed 3
% 3.71/3.88 Kbytes malloced 4882
% 3.71/3.88
% 3.71/3.88 ----------- times (seconds) -----------
% 3.71/3.88 user CPU time 0.29 (0 hr, 0 min, 0 sec)
% 3.71/3.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.71/3.88 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.71/3.88
% 3.71/3.88 Process 27473 finished Wed Jul 27 07:53:18 2022
% 3.71/3.88 Otter interrupted
% 3.71/3.88 PROOF NOT FOUND
%------------------------------------------------------------------------------