%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU389+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n015.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 13:16:02 EDT 2022

% Result   : Unknown 3.42s 3.56s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU389+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 07:56:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 3.23/3.43  ----- Otter 3.3f, August 2004 -----
% 3.23/3.43  The process was started by sandbox on n015.cluster.edu,
% 3.23/3.43  Wed Jul 27 07:56:42 2022
% 3.23/3.43  The command was "./otter".  The process ID is 1432.
% 3.23/3.43  
% 3.23/3.43  set(prolog_style_variables).
% 3.23/3.43  set(auto).
% 3.23/3.43     dependent: set(auto1).
% 3.23/3.43     dependent: set(process_input).
% 3.23/3.43     dependent: clear(print_kept).
% 3.23/3.43     dependent: clear(print_new_demod).
% 3.23/3.43     dependent: clear(print_back_demod).
% 3.23/3.43     dependent: clear(print_back_sub).
% 3.23/3.43     dependent: set(control_memory).
% 3.23/3.43     dependent: assign(max_mem, 12000).
% 3.23/3.43     dependent: assign(pick_given_ratio, 4).
% 3.23/3.43     dependent: assign(stats_level, 1).
% 3.23/3.43     dependent: assign(max_seconds, 10800).
% 3.23/3.43  clear(print_given).
% 3.23/3.43  
% 3.23/3.43  formula_list(usable).
% 3.23/3.43  all A (A=A).
% 3.23/3.43  all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 3.23/3.43  all A B (in(A,B)-> -in(B,A)).
% 3.23/3.43  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))).
% 3.23/3.43  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))).
% 3.23/3.43  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))).
% 3.23/3.43  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))).
% 3.23/3.43  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))).
% 3.23/3.43  all A (empty(A)->finite(A)).
% 3.23/3.43  all A (rel_str(A)-> (with_suprema_relstr(A)-> -empty_carrier(A))).
% 3.23/3.43  all A (empty(A)->relation(A)).
% 3.23/3.43  all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 3.23/3.43  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))))).
% 3.23/3.43  all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 3.23/3.43  all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 3.23/3.43  all A (rel_str(A)-> (with_infima_relstr(A)-> -empty_carrier(A))).
% 3.23/3.43  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->boundary_set(B,A))))).
% 3.23/3.43  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))).
% 3.23/3.43  all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->nowhere_dense(B,A))))).
% 3.23/3.43  all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&bounded_relstr(A))).
% 3.23/3.43  all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (nowhere_dense(B,A)->boundary_set(B,A))))).
% 3.23/3.43  all A (rel_str(A)-> (bounded_relstr(A)->lower_bounded_relstr(A)&upper_bounded_relstr(A))).
% 3.23/3.43  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))))).
% 3.23/3.43  all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&trivial_carrier(A)-> -empty_carrier(A)&reflexive_relstr(A)&connected_relstr(A))).
% 3.23/3.43  all A (rel_str(A)-> (lower_bounded_relstr(A)&upper_bounded_relstr(A)->bounded_relstr(A))).
% 3.23/3.43  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))))).
% 3.23/3.43  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))).
% 3.23/3.43  all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,powerset(the_carrier(A)))-> (point_neighbourhood(C,A,B)<->in(B,interior(A,C)))))))).
% 3.23/3.43  all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (element(B,the_carrier(A))->neighborhood_system(A,B)=a_2_0_yellow19(A,B)))).
% 3.23/3.43  all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 3.23/3.43  all A (topological_space(A)&top_str(A)-> (all B C (is_a_convergence_point_of_set(A,B,C)<-> (all D (element(D,powerset(the_carrier(A)))-> (open_subset(D,A)&in(C,D)->in(D,B))))))).
% 3.23/3.43  all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 3.23/3.43  all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(interior(A,B),powerset(the_carrier(A)))).
% 3.23/3.43  $T.
% 3.23/3.43  all A B (-empty_carrier(A)&topological_space(A)&top_str(A)&element(B,the_carrier(A))->element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))).
% 3.23/3.43  $T.
% 3.23/3.43  all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 3.23/3.43  $T.
% 3.23/3.43  all A (strict_rel_str(boole_POSet(A))&rel_str(boole_POSet(A))).
% 3.23/3.43  all A (rel_str(A)->one_sorted_str(A)).
% 3.23/3.43  all A (top_str(A)->one_sorted_str(A)).
% 3.23/3.43  $T.
% 3.23/3.43  all A B (-empty_carrier(A)&topological_space(A)&top_str(A)&element(B,the_carrier(A))-> (all C (point_neighbourhood(C,A,B)->element(C,powerset(the_carrier(A)))))).
% 3.23/3.43  $T.
% 3.23/3.43  $T.
% 3.23/3.43  all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 3.23/3.43  all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 3.23/3.43  $T.
% 3.23/3.43  exists A rel_str(A).
% 3.23/3.43  exists A top_str(A).
% 3.23/3.43  exists A one_sorted_str(A).
% 3.23/3.43  all A B (-empty_carrier(A)&topological_space(A)&top_str(A)&element(B,the_carrier(A))-> (exists C point_neighbourhood(C,A,B))).
% 3.23/3.43  all A B exists C relation_of2(C,A,B).
% 3.23/3.43  all A exists B element(B,A).
% 3.23/3.43  all A B exists C relation_of2_as_subset(C,A,B).
% 3.23/3.43  all A B (top_str(A)&boundary_set(B,A)&element(B,powerset(the_carrier(A)))->empty(interior(A,B))&v1_membered(interior(A,B))&v2_membered(interior(A,B))&v3_membered(interior(A,B))&v4_membered(interior(A,B))&v5_membered(interior(A,B))&boundary_set(interior(A,B),A)).
% 3.23/3.43  empty(empty_set).
% 3.23/3.43  relation(empty_set).
% 3.23/3.43  relation_empty_yielding(empty_set).
% 3.23/3.43  all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 3.23/3.43  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)).
% 3.23/3.43  all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 3.23/3.43  all A (-empty(powerset(A))).
% 3.23/3.43  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))).
% 3.23/3.43  all A B (-empty_carrier(A)&topological_space(A)&top_str(A)&element(B,the_carrier(A))-> -empty(neighborhood_system(A,B))&filtered_subset(neighborhood_system(A,B),boole_POSet(cast_as_carrier_subset(A)))&upper_relstr_subset(neighborhood_system(A,B),boole_POSet(cast_as_carrier_subset(A)))&proper_element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))).
% 3.23/3.43  all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(cast_as_carrier_subset(A))).
% 3.23/3.43  all A (with_suprema_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)).
% 3.23/3.43  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))).
% 3.23/3.43  all A (-empty_carrier(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))).
% 3.23/3.43  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)).
% 3.23/3.43  empty(empty_set).
% 3.23/3.43  relation(empty_set).
% 3.23/3.43  all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.23/3.43  all A (with_infima_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)).
% 3.23/3.43  all A (topological_space(A)&top_str(A)->closed_subset(cast_as_carrier_subset(A),A)).
% 3.23/3.43  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)).
% 3.23/3.43  all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->open_subset(interior(A,B),A)).
% 3.23/3.43  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))).
% 3.23/3.43  all A (topological_space(A)&top_str(A)->open_subset(cast_as_carrier_subset(A),A)&closed_subset(cast_as_carrier_subset(A),A)).
% 3.23/3.43  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))).
% 3.23/3.43  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))).
% 3.23/3.43  all A (top_str(A)->dense(cast_as_carrier_subset(A),A)).
% 3.23/3.43  all A B C (-empty_carrier(B)&topological_space(B)&top_str(B)&element(C,the_carrier(B))-> (in(A,a_2_0_yellow19(B,C))<-> (exists D (point_neighbourhood(D,B,C)&A=D)))).
% 3.23/3.43  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))).
% 3.23/3.43  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)))).
% 3.23/3.43  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)))).
% 3.23/3.43  exists A (rel_str(A)& -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&connected_relstr(A)).
% 3.23/3.43  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)).
% 3.23/3.43  exists A (-empty(A)&finite(A)).
% 3.23/3.43  exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A)).
% 3.23/3.43  exists A (empty(A)&relation(A)).
% 3.23/3.43  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.23/3.43  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)))).
% 3.23/3.43  all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&directed_subset(B,A)&filtered_subset(B,A)))).
% 3.23/3.43  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)).
% 3.23/3.43  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)).
% 3.23/3.43  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)).
% 3.23/3.43  exists A (-empty(A)&relation(A)).
% 3.23/3.43  all A exists B (element(B,powerset(A))&empty(B)).
% 3.23/3.43  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)&closed_subset(B,A)))).
% 3.23/3.43  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)))).
% 3.23/3.43  all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 3.23/3.43  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)).
% 3.23/3.43  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.23/3.43  exists A (relation(A)&relation_empty_yielding(A)).
% 3.23/3.43  exists A (one_sorted_str(A)& -empty_carrier(A)).
% 3.23/3.43  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)))).
% 3.23/3.43  all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 3.23/3.43  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.23/3.43  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)))).
% 3.23/3.43  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)))).
% 3.23/3.43  exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&transitive_relstr(A)&directed_relstr(A)).
% 3.23/3.43  all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 3.23/3.43  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)))).
% 3.23/3.43  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 3.23/3.43  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)))).
% 3.23/3.43  all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 3.23/3.43  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)))).
% 3.23/3.43  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)))).
% 3.23/3.43  all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 3.23/3.43  all A B subset(A,A).
% 3.23/3.43  all A B (element(B,powerset(the_carrier(boole_POSet(A))))-> (upper_relstr_subset(B,boole_POSet(A))<-> (all C D (subset(C,D)&subset(D,A)&in(C,B)->in(D,B))))).
% 3.23/3.43  all A (one_sorted_str(A)->cast_as_carrier_subset(A)=the_carrier(A)).
% 3.23/3.43  all A B (in(A,B)->element(A,B)).
% 3.23/3.43  all A B (element(A,B)->empty(B)|in(A,B)).
% 3.23/3.43  all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.23/3.43  all A B (element(A,powerset(B))<->subset(A,B)).
% 3.23/3.43  all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (element(B,the_carrier(A))-> (all C (in(C,neighborhood_system(A,B))<->point_neighbourhood(C,A,B)))))).
% 3.23/3.43  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))->subset(interior(A,B),B)))).
% 3.23/3.43  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.23/3.43  -(all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (element(B,the_carrier(A))-> (all C (upper_relstr_subset(C,boole_POSet(cast_as_carrier_subset(A)))&element(C,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))-> (is_a_convergence_point_of_set(A,C,B)<->subset(neighborhood_system(A,B),C)))))))).
% 3.23/3.43  all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (all C (element(C,the_carrier(A))-> (open_subset(B,A)&in(C,B)->point_neighbourhood(B,A,C))))))).
% 3.23/3.43  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.23/3.43  all A (empty(A)->A=empty_set).
% 3.23/3.43  all A B (-(in(A,B)&empty(B))).
% 3.23/3.43  all A B (-(empty(A)&A!=B&empty(B))).
% 3.23/3.43  end_of_list.
% 3.23/3.43  
% 3.23/3.43  -------> usable clausifies to:
% 3.23/3.43  
% 3.23/3.43  list(usable).
% 3.23/3.43  0 [] A=A.
% 3.23/3.43  0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 3.23/3.43  0 [] -in(A,B)| -in(B,A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 3.23/3.43  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).
% 3.23/3.43  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).
% 3.23/3.43  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).
% 3.23/3.43  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).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 3.23/3.43  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).
% 3.23/3.43  0 [] -empty(A)|finite(A).
% 3.23/3.43  0 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 3.23/3.43  0 [] -empty(A)|relation(A).
% 3.23/3.43  0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 3.23/3.43  0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.23/3.43  0 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 3.23/3.43  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.23/3.43  0 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 3.23/3.43  0 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 3.23/3.43  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).
% 3.23/3.43  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 3.23/3.43  0 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.23/3.43  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).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 3.23/3.43  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).
% 3.23/3.43  0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 3.23/3.43  0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))| -point_neighbourhood(C,A,B)|in(B,interior(A,C)).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))|point_neighbourhood(C,A,B)| -in(B,interior(A,C)).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|neighborhood_system(A,B)=a_2_0_yellow19(A,B).
% 3.23/3.43  0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.23/3.43  0 [] subset(A,B)|in($f1(A,B),A).
% 3.23/3.43  0 [] subset(A,B)| -in($f1(A,B),B).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -is_a_convergence_point_of_set(A,B,C)| -element(D,powerset(the_carrier(A)))| -open_subset(D,A)| -in(C,D)|in(D,B).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)|element($f2(A,B,C),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)|open_subset($f2(A,B,C),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)|in(C,$f2(A,B,C)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)| -in($f2(A,B,C),B).
% 3.23/3.43  0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 3.23/3.43  0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 3.23/3.43  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 3.23/3.43  0 [] $T.
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.23/3.43  0 [] $T.
% 3.23/3.43  0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] $T.
% 3.23/3.43  0 [] strict_rel_str(boole_POSet(A)).
% 3.23/3.43  0 [] rel_str(boole_POSet(A)).
% 3.23/3.43  0 [] -rel_str(A)|one_sorted_str(A).
% 3.23/3.43  0 [] -top_str(A)|one_sorted_str(A).
% 3.23/3.43  0 [] $T.
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -point_neighbourhood(C,A,B)|element(C,powerset(the_carrier(A))).
% 3.23/3.43  0 [] $T.
% 3.23/3.43  0 [] $T.
% 3.23/3.43  0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 3.23/3.43  0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.23/3.43  0 [] $T.
% 3.23/3.43  0 [] rel_str($c1).
% 3.23/3.43  0 [] top_str($c2).
% 3.23/3.43  0 [] one_sorted_str($c3).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|point_neighbourhood($f3(A,B),A,B).
% 3.23/3.43  0 [] relation_of2($f4(A,B),A,B).
% 3.23/3.43  0 [] element($f5(A),A).
% 3.23/3.43  0 [] relation_of2_as_subset($f6(A,B),A,B).
% 3.23/3.43  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|empty(interior(A,B)).
% 3.23/3.43  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v1_membered(interior(A,B)).
% 3.23/3.43  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v2_membered(interior(A,B)).
% 3.23/3.43  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v3_membered(interior(A,B)).
% 3.23/3.43  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v4_membered(interior(A,B)).
% 3.23/3.43  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v5_membered(interior(A,B)).
% 3.23/3.43  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|boundary_set(interior(A,B),A).
% 3.23/3.43  0 [] empty(empty_set).
% 3.23/3.43  0 [] relation(empty_set).
% 3.23/3.43  0 [] relation_empty_yielding(empty_set).
% 3.23/3.43  0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.23/3.43  0 [] -empty(powerset(A)).
% 3.23/3.43  0 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.43  0 [] strict_rel_str(boole_POSet(A)).
% 3.23/3.43  0 [] reflexive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] transitive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] up_complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] join_complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] -v1_yellow_3(boole_POSet(A)).
% 3.23/3.43  0 [] distributive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] heyting_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] complemented_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] boolean_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] with_suprema_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] with_infima_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -empty(neighborhood_system(A,B)).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|filtered_subset(neighborhood_system(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|upper_relstr_subset(neighborhood_system(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|proper_element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.23/3.43  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.43  0 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.43  0 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] empty(empty_set).
% 3.23/3.43  0 [] relation(empty_set).
% 3.23/3.43  0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.23/3.43  0 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.43  0 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 3.23/3.43  0 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.43  0 [] strict_rel_str(boole_POSet(A)).
% 3.23/3.43  0 [] reflexive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] transitive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|open_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.43  0 [] strict_rel_str(boole_POSet(A)).
% 3.23/3.43  0 [] reflexive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] transitive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] with_suprema_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] with_infima_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.43  0 [] strict_rel_str(boole_POSet(A)).
% 3.23/3.43  0 [] reflexive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] transitive_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] bounded_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] directed_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] up_complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] join_complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] -v1_yellow_3(boole_POSet(A)).
% 3.23/3.43  0 [] with_suprema_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] with_infima_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] complete_relstr(boole_POSet(A)).
% 3.23/3.43  0 [] -top_str(A)|dense(cast_as_carrier_subset(A),A).
% 3.23/3.43  0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)| -element(C,the_carrier(B))| -in(A,a_2_0_yellow19(B,C))|point_neighbourhood($f7(A,B,C),B,C).
% 3.23/3.43  0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)| -element(C,the_carrier(B))| -in(A,a_2_0_yellow19(B,C))|A=$f7(A,B,C).
% 3.23/3.43  0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)| -element(C,the_carrier(B))|in(A,a_2_0_yellow19(B,C))| -point_neighbourhood(D,B,C)|A!=D.
% 3.23/3.43  0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 3.23/3.43  0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f8(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f8(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f8(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f8(A),A).
% 3.23/3.43  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f9(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f9(A)).
% 3.23/3.43  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f9(A),A).
% 3.23/3.43  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f9(A),A).
% 3.23/3.43  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f9(A),A).
% 3.23/3.43  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f9(A),A).
% 3.23/3.43  0 [] rel_str($c4).
% 3.23/3.43  0 [] -empty_carrier($c4).
% 3.23/3.43  0 [] reflexive_relstr($c4).
% 3.23/3.43  0 [] transitive_relstr($c4).
% 3.23/3.43  0 [] antisymmetric_relstr($c4).
% 3.23/3.43  0 [] connected_relstr($c4).
% 3.23/3.43  0 [] rel_str($c5).
% 3.23/3.43  0 [] -empty_carrier($c5).
% 3.23/3.43  0 [] strict_rel_str($c5).
% 3.23/3.43  0 [] reflexive_relstr($c5).
% 3.23/3.43  0 [] transitive_relstr($c5).
% 3.23/3.43  0 [] antisymmetric_relstr($c5).
% 3.23/3.43  0 [] with_suprema_relstr($c5).
% 3.23/3.43  0 [] with_infima_relstr($c5).
% 3.23/3.43  0 [] complete_relstr($c5).
% 3.23/3.43  0 [] lower_bounded_relstr($c5).
% 3.23/3.43  0 [] upper_bounded_relstr($c5).
% 3.23/3.43  0 [] bounded_relstr($c5).
% 3.23/3.43  0 [] up_complete_relstr($c5).
% 3.23/3.43  0 [] join_complete_relstr($c5).
% 3.23/3.43  0 [] -empty($c6).
% 3.23/3.43  0 [] finite($c6).
% 3.23/3.43  0 [] rel_str($c7).
% 3.23/3.43  0 [] -empty_carrier($c7).
% 3.23/3.43  0 [] strict_rel_str($c7).
% 3.23/3.43  0 [] reflexive_relstr($c7).
% 3.23/3.43  0 [] transitive_relstr($c7).
% 3.23/3.43  0 [] antisymmetric_relstr($c7).
% 3.23/3.43  0 [] complete_relstr($c7).
% 3.23/3.43  0 [] empty($c8).
% 3.23/3.43  0 [] relation($c8).
% 3.23/3.43  0 [] empty(A)|element($f10(A),powerset(A)).
% 3.23/3.43  0 [] empty(A)| -empty($f10(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|element($f11(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|open_subset($f11(A),A).
% 3.23/3.43  0 [] -rel_str(A)|element($f12(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -rel_str(A)|directed_subset($f12(A),A).
% 3.23/3.43  0 [] -rel_str(A)|filtered_subset($f12(A),A).
% 3.23/3.43  0 [] rel_str($c9).
% 3.23/3.43  0 [] -empty_carrier($c9).
% 3.23/3.43  0 [] -trivial_carrier($c9).
% 3.23/3.43  0 [] strict_rel_str($c9).
% 3.23/3.43  0 [] reflexive_relstr($c9).
% 3.23/3.43  0 [] transitive_relstr($c9).
% 3.23/3.43  0 [] antisymmetric_relstr($c9).
% 3.23/3.43  0 [] lower_bounded_relstr($c9).
% 3.23/3.43  0 [] upper_bounded_relstr($c9).
% 3.23/3.43  0 [] bounded_relstr($c9).
% 3.23/3.43  0 [] -v1_yellow_3($c9).
% 3.23/3.43  0 [] distributive_relstr($c9).
% 3.23/3.43  0 [] heyting_relstr($c9).
% 3.23/3.43  0 [] complemented_relstr($c9).
% 3.23/3.43  0 [] boolean_relstr($c9).
% 3.23/3.43  0 [] with_suprema_relstr($c9).
% 3.23/3.43  0 [] with_infima_relstr($c9).
% 3.23/3.43  0 [] rel_str($c10).
% 3.23/3.43  0 [] -empty_carrier($c10).
% 3.23/3.43  0 [] strict_rel_str($c10).
% 3.23/3.43  0 [] reflexive_relstr($c10).
% 3.23/3.43  0 [] transitive_relstr($c10).
% 3.23/3.43  0 [] antisymmetric_relstr($c10).
% 3.23/3.43  0 [] with_suprema_relstr($c10).
% 3.23/3.43  0 [] with_infima_relstr($c10).
% 3.23/3.43  0 [] complete_relstr($c10).
% 3.23/3.43  0 [] trivial_carrier($c10).
% 3.23/3.43  0 [] rel_str($c11).
% 3.23/3.43  0 [] -empty_carrier($c11).
% 3.23/3.43  0 [] strict_rel_str($c11).
% 3.23/3.43  0 [] reflexive_relstr($c11).
% 3.23/3.43  0 [] transitive_relstr($c11).
% 3.23/3.43  0 [] antisymmetric_relstr($c11).
% 3.23/3.43  0 [] with_suprema_relstr($c11).
% 3.23/3.43  0 [] with_infima_relstr($c11).
% 3.23/3.43  0 [] complete_relstr($c11).
% 3.23/3.43  0 [] -empty($c12).
% 3.23/3.43  0 [] relation($c12).
% 3.23/3.43  0 [] element($f13(A),powerset(A)).
% 3.23/3.43  0 [] empty($f13(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|element($f14(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|open_subset($f14(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|closed_subset($f14(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f15(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f15(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f15(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f15(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f15(A),A).
% 3.23/3.43  0 [] element($f16(A),powerset(powerset(A))).
% 3.23/3.43  0 [] -empty($f16(A)).
% 3.23/3.43  0 [] finite($f16(A)).
% 3.23/3.43  0 [] rel_str($c13).
% 3.23/3.43  0 [] -empty_carrier($c13).
% 3.23/3.43  0 [] reflexive_relstr($c13).
% 3.23/3.43  0 [] transitive_relstr($c13).
% 3.23/3.43  0 [] antisymmetric_relstr($c13).
% 3.23/3.43  0 [] with_suprema_relstr($c13).
% 3.23/3.43  0 [] with_infima_relstr($c13).
% 3.23/3.43  0 [] complete_relstr($c13).
% 3.23/3.43  0 [] lower_bounded_relstr($c13).
% 3.23/3.43  0 [] upper_bounded_relstr($c13).
% 3.23/3.43  0 [] bounded_relstr($c13).
% 3.23/3.43  0 [] empty(A)|element($f17(A),powerset(A)).
% 3.23/3.43  0 [] empty(A)| -empty($f17(A)).
% 3.23/3.43  0 [] empty(A)|finite($f17(A)).
% 3.23/3.43  0 [] relation($c14).
% 3.23/3.43  0 [] relation_empty_yielding($c14).
% 3.23/3.43  0 [] one_sorted_str($c15).
% 3.23/3.43  0 [] -empty_carrier($c15).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f18(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f18(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f18(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f18(A),A).
% 3.23/3.43  0 [] -one_sorted_str(A)|element($f19(A),powerset(powerset(the_carrier(A)))).
% 3.23/3.43  0 [] -one_sorted_str(A)| -empty($f19(A)).
% 3.23/3.43  0 [] -one_sorted_str(A)|finite($f19(A)).
% 3.23/3.43  0 [] empty(A)|element($f20(A),powerset(A)).
% 3.23/3.43  0 [] empty(A)| -empty($f20(A)).
% 3.23/3.43  0 [] empty(A)|finite($f20(A)).
% 3.23/3.43  0 [] -top_str(A)|element($f21(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -top_str(A)|empty($f21(A)).
% 3.23/3.43  0 [] -top_str(A)|v1_membered($f21(A)).
% 3.23/3.43  0 [] -top_str(A)|v2_membered($f21(A)).
% 3.23/3.43  0 [] -top_str(A)|v3_membered($f21(A)).
% 3.23/3.43  0 [] -top_str(A)|v4_membered($f21(A)).
% 3.23/3.43  0 [] -top_str(A)|v5_membered($f21(A)).
% 3.23/3.43  0 [] -top_str(A)|boundary_set($f21(A),A).
% 3.23/3.43  0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f22(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f22(A)).
% 3.23/3.43  0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f22(A),powerset(the_carrier(A))).
% 3.23/3.43  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($f22(A),A).
% 3.23/3.43  0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|upper_relstr_subset($f22(A),A).
% 3.23/3.43  0 [] rel_str($c16).
% 3.23/3.43  0 [] -empty_carrier($c16).
% 3.23/3.43  0 [] strict_rel_str($c16).
% 3.23/3.43  0 [] transitive_relstr($c16).
% 3.23/3.43  0 [] directed_relstr($c16).
% 3.23/3.43  0 [] empty_carrier(A)| -one_sorted_str(A)|element($f23(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f23(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|element($f24(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|empty($f24(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|open_subset($f24(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|closed_subset($f24(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|v1_membered($f24(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|v2_membered($f24(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|v3_membered($f24(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|v4_membered($f24(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|v5_membered($f24(A)).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|boundary_set($f24(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|nowhere_dense($f24(A),A).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|element($f25(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -topological_space(A)| -top_str(A)|closed_subset($f25(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f26(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f26(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f26(A),A).
% 3.23/3.43  0 [] -rel_str(A)|element($f27(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] -rel_str(A)|lower_relstr_subset($f27(A),A).
% 3.23/3.43  0 [] -rel_str(A)|upper_relstr_subset($f27(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)|element($f28(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)| -empty($f28(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f28(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f28(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f29(A),powerset(the_carrier(A))).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f29(A)).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f29(A),A).
% 3.23/3.43  0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f29(A),A).
% 3.23/3.43  0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 3.23/3.43  0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 3.23/3.43  0 [] subset(A,A).
% 3.23/3.43  0 [] -element(B,powerset(the_carrier(boole_POSet(A))))| -upper_relstr_subset(B,boole_POSet(A))| -subset(C,D)| -subset(D,A)| -in(C,B)|in(D,B).
% 3.23/3.43  0 [] -element(B,powerset(the_carrier(boole_POSet(A))))|upper_relstr_subset(B,boole_POSet(A))|subset($f31(A,B),$f30(A,B)).
% 3.23/3.43  0 [] -element(B,powerset(the_carrier(boole_POSet(A))))|upper_relstr_subset(B,boole_POSet(A))|subset($f30(A,B),A).
% 3.23/3.43  0 [] -element(B,powerset(the_carrier(boole_POSet(A))))|upper_relstr_subset(B,boole_POSet(A))|in($f31(A,B),B).
% 3.23/3.43  0 [] -element(B,powerset(the_carrier(boole_POSet(A))))|upper_relstr_subset(B,boole_POSet(A))| -in($f30(A,B),B).
% 3.23/3.44  0 [] -one_sorted_str(A)|cast_as_carrier_subset(A)=the_carrier(A).
% 3.23/3.44  0 [] -in(A,B)|element(A,B).
% 3.23/3.44  0 [] -element(A,B)|empty(B)|in(A,B).
% 3.23/3.44  0 [] in($f32(A,B),A)|in($f32(A,B),B)|A=B.
% 3.23/3.44  0 [] -in($f32(A,B),A)| -in($f32(A,B),B)|A=B.
% 3.23/3.44  0 [] -element(A,powerset(B))|subset(A,B).
% 3.23/3.44  0 [] element(A,powerset(B))| -subset(A,B).
% 3.23/3.44  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -in(C,neighborhood_system(A,B))|point_neighbourhood(C,A,B).
% 3.23/3.44  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|in(C,neighborhood_system(A,B))| -point_neighbourhood(C,A,B).
% 3.23/3.44  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|subset(interior(A,B),B).
% 3.23/3.44  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.23/3.44  0 [] -empty_carrier($c19).
% 3.23/3.44  0 [] topological_space($c19).
% 3.23/3.44  0 [] top_str($c19).
% 3.23/3.44  0 [] element($c18,the_carrier($c19)).
% 3.23/3.44  0 [] upper_relstr_subset($c17,boole_POSet(cast_as_carrier_subset($c19))).
% 3.23/3.44  0 [] element($c17,powerset(the_carrier(boole_POSet(cast_as_carrier_subset($c19))))).
% 3.23/3.44  0 [] is_a_convergence_point_of_set($c19,$c17,$c18)|subset(neighborhood_system($c19,$c18),$c17).
% 3.23/3.44  0 [] -is_a_convergence_point_of_set($c19,$c17,$c18)| -subset(neighborhood_system($c19,$c18),$c17).
% 3.23/3.44  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -open_subset(B,A)| -in(C,B)|point_neighbourhood(B,A,C).
% 3.23/3.44  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.23/3.44  0 [] -empty(A)|A=empty_set.
% 3.23/3.44  0 [] -in(A,B)| -empty(B).
% 3.23/3.44  0 [] -empty(A)|A=B| -empty(B).
% 3.23/3.44  end_of_list.
% 3.23/3.44  
% 3.23/3.44  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 3.23/3.44  
% 3.23/3.44  This ia a non-Horn set with equality.  The strategy will be
% 3.23/3.44  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.23/3.44  deletion, with positive clauses in sos and nonpositive
% 3.23/3.44  clauses in usable.
% 3.23/3.44  
% 3.23/3.44     dependent: set(knuth_bendix).
% 3.23/3.44     dependent: set(anl_eq).
% 3.23/3.44     dependent: set(para_from).
% 3.23/3.44     dependent: set(para_into).
% 3.23/3.44     dependent: clear(para_from_right).
% 3.23/3.44     dependent: clear(para_into_right).
% 3.23/3.44     dependent: set(para_from_vars).
% 3.23/3.44     dependent: set(eq_units_both_ways).
% 3.23/3.44     dependent: set(dynamic_demod_all).
% 3.23/3.44     dependent: set(dynamic_demod).
% 3.23/3.44     dependent: set(order_eq).
% 3.23/3.44     dependent: set(back_demod).
% 3.23/3.44     dependent: set(lrpo).
% 3.23/3.44     dependent: set(hyper_res).
% 3.23/3.44     dependent: set(unit_deletion).
% 3.23/3.44     dependent: set(factor).
% 3.23/3.44  
% 3.23/3.44  ------------> process usable:
% 3.23/3.44  ** 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.
% 3.23/3.44  ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 3.23/3.44  ** KEPT (pick-wt=10): 4 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=10): 5 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=10): 6 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=18): 7 [] -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).
% 3.23/3.44  ** KEPT (pick-wt=18): 8 [] -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).
% 3.23/3.44  ** 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)|upper_bounded_relstr(A).
% 3.23/3.44  ** 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)|bounded_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=12): 11 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=14): 12 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=4): 13 [] -empty(A)|finite(A).
% 3.23/3.44  ** KEPT (pick-wt=6): 14 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 3.23/3.44  ** KEPT (pick-wt=4): 15 [] -empty(A)|relation(A).
% 3.23/3.44  ** KEPT (pick-wt=8): 16 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 3.23/3.44  ** KEPT (pick-wt=14): 17 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.23/3.44  ** KEPT (pick-wt=14): 18 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.23/3.44  ** KEPT (pick-wt=8): 19 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=8): 20 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=8): 21 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.23/3.44  ** KEPT (pick-wt=6): 22 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 3.23/3.44  ** KEPT (pick-wt=12): 23 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.23/3.44  ** KEPT (pick-wt=10): 24 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=10): 25 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=10): 26 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=14): 27 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.23/3.44  ** KEPT (pick-wt=8): 28 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=15): 29 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.23/3.44  ** KEPT (pick-wt=6): 30 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=6): 31 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=18): 32 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)| -boundary_set(B,A)|nowhere_dense(B,A).
% 3.23/3.44  ** KEPT (pick-wt=10): 33 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=8): 34 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=17): 35 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.23/3.44  ** KEPT (pick-wt=18): 36 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|closed_subset(B,A).
% 3.23/3.44  ** 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)|v1_membered(B).
% 3.23/3.44  ** KEPT (pick-wt=17): 38 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.23/3.44  ** 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)|v3_membered(B).
% 3.23/3.44  ** 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)|v4_membered(B).
% 3.23/3.44  ** 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)|v5_membered(B).
% 3.23/3.44    Following clause subsumed by 29 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).
% 3.23/3.44    Following clause subsumed by 14 during input processing: 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 3.23/3.44  ** KEPT (pick-wt=10): 42 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.23/3.44  ** KEPT (pick-wt=24): 43 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))| -point_neighbourhood(C,A,B)|in(B,interior(A,C)).
% 3.23/3.44  ** KEPT (pick-wt=24): 44 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))|point_neighbourhood(C,A,B)| -in(B,interior(A,C)).
% 3.23/3.44  ** KEPT (pick-wt=17): 45 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|neighborhood_system(A,B)=a_2_0_yellow19(A,B).
% 3.23/3.44  ** KEPT (pick-wt=9): 46 [] -subset(A,B)| -in(C,A)|in(C,B).
% 3.23/3.44  ** KEPT (pick-wt=8): 47 [] subset(A,B)| -in($f1(A,B),B).
% 3.23/3.44  ** KEPT (pick-wt=22): 48 [] -topological_space(A)| -top_str(A)| -is_a_convergence_point_of_set(A,B,C)| -element(D,powerset(the_carrier(A)))| -open_subset(D,A)| -in(C,D)|in(D,B).
% 3.23/3.44  ** KEPT (pick-wt=16): 49 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)|element($f2(A,B,C),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=14): 50 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)|open_subset($f2(A,B,C),A).
% 3.23/3.44  ** KEPT (pick-wt=14): 51 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)|in(C,$f2(A,B,C)).
% 3.23/3.44  ** KEPT (pick-wt=14): 52 [] -topological_space(A)| -top_str(A)|is_a_convergence_point_of_set(A,B,C)| -in($f2(A,B,C),B).
% 3.23/3.44  ** KEPT (pick-wt=8): 53 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 3.23/3.44  ** KEPT (pick-wt=8): 54 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 3.23/3.44  ** KEPT (pick-wt=14): 55 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=19): 56 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.23/3.44  ** KEPT (pick-wt=8): 57 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=4): 58 [] -rel_str(A)|one_sorted_str(A).
% 3.23/3.44  ** KEPT (pick-wt=4): 59 [] -top_str(A)|one_sorted_str(A).
% 3.23/3.44  ** KEPT (pick-wt=19): 60 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -point_neighbourhood(C,A,B)|element(C,powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=10): 61 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 3.23/3.44  ** KEPT (pick-wt=9): 62 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.23/3.44  ** KEPT (pick-wt=16): 63 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|point_neighbourhood($f3(A,B),A,B).
% 3.23/3.44  ** KEPT (pick-wt=14): 64 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|empty(interior(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=14): 65 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v1_membered(interior(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=14): 66 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v2_membered(interior(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=14): 67 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v3_membered(interior(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=14): 68 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v4_membered(interior(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=14): 69 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v5_membered(interior(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=15): 70 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|boundary_set(interior(A,B),A).
% 3.23/3.44  ** KEPT (pick-wt=8): 71 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=7): 72 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.44  ** KEPT (pick-wt=8): 73 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44  ** KEPT (pick-wt=8): 74 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44  ** KEPT (pick-wt=7): 75 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.23/3.44  ** KEPT (pick-wt=3): 76 [] -empty(powerset(A)).
% 3.23/3.44  ** KEPT (pick-wt=3): 77 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.44  ** KEPT (pick-wt=3): 78 [] -v1_yellow_3(boole_POSet(A)).
% 3.23/3.44  ** KEPT (pick-wt=14): 79 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -empty(neighborhood_system(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=17): 80 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|filtered_subset(neighborhood_system(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.23/3.44  ** KEPT (pick-wt=17): 81 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|upper_relstr_subset(neighborhood_system(A,B),boole_POSet(cast_as_carrier_subset(A))).
% 3.23/3.44  ** KEPT (pick-wt=19): 82 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|proper_element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 3.23/3.44  ** KEPT (pick-wt=7): 83 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.44  ** KEPT (pick-wt=7): 84 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.44  ** KEPT (pick-wt=8): 85 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44    Following clause subsumed by 77 during input processing: 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 3.23/3.44  ** KEPT (pick-wt=5): 86 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 3.23/3.44    Following clause subsumed by 78 during input processing: 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 3.23/3.44    Following clause subsumed by 72 during input processing: 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.44    Following clause subsumed by 72 during input processing: 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.44  ** KEPT (pick-wt=10): 87 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44  ** KEPT (pick-wt=8): 88 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.23/3.44  ** KEPT (pick-wt=7): 89 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.44  ** KEPT (pick-wt=8): 90 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44  ** KEPT (pick-wt=8): 91 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44    Following clause subsumed by 72 during input processing: 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.23/3.44  ** KEPT (pick-wt=10): 92 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44  ** KEPT (pick-wt=14): 93 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 3.23/3.44    Following clause subsumed by 77 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.44  ** KEPT (pick-wt=8): 94 [] -topological_space(A)| -top_str(A)|open_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44    Following clause subsumed by 91 during input processing: 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.23/3.44    Following clause subsumed by 77 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.44    Following clause subsumed by 77 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.23/3.44    Following clause subsumed by 78 during input processing: 0 [] -v1_yellow_3(boole_POSet(A)).
% 3.23/3.44  ** KEPT (pick-wt=6): 95 [] -top_str(A)|dense(cast_as_carrier_subset(A),A).
% 3.23/3.44  ** KEPT (pick-wt=22): 96 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -in(C,a_2_0_yellow19(A,B))|point_neighbourhood($f7(C,A,B),A,B).
% 3.23/3.44  ** KEPT (pick-wt=21): 98 [copy,97,flip.6] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -in(C,a_2_0_yellow19(A,B))|$f7(C,A,B)=C.
% 3.23/3.44  ** KEPT (pick-wt=22): 99 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|in(C,a_2_0_yellow19(A,B))| -point_neighbourhood(D,A,B)|C!=D.
% 3.23/3.44  ** KEPT (pick-wt=14): 100 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 3.23/3.44  ** KEPT (pick-wt=14): 101 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 3.23/3.44  ** KEPT (pick-wt=14): 102 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f8(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=11): 103 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f8(A)).
% 3.23/3.44  ** KEPT (pick-wt=12): 104 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f8(A),A).
% 3.23/3.44  ** KEPT (pick-wt=12): 105 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f8(A),A).
% 3.23/3.44  ** KEPT (pick-wt=18): 106 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f9(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=15): 107 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f9(A)).
% 3.23/3.44  ** KEPT (pick-wt=16): 108 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f9(A),A).
% 3.23/3.44  ** KEPT (pick-wt=16): 109 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f9(A),A).
% 3.23/3.44  ** KEPT (pick-wt=16): 110 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f9(A),A).
% 3.23/3.44  ** KEPT (pick-wt=16): 111 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f9(A),A).
% 3.23/3.44  ** KEPT (pick-wt=2): 112 [] -empty_carrier($c4).
% 3.23/3.44  ** KEPT (pick-wt=2): 113 [] -empty_carrier($c5).
% 3.23/3.44  ** KEPT (pick-wt=2): 114 [] -empty($c6).
% 3.23/3.44  ** KEPT (pick-wt=2): 115 [] -empty_carrier($c7).
% 3.23/3.44  ** KEPT (pick-wt=5): 116 [] empty(A)| -empty($f10(A)).
% 3.23/3.44  ** KEPT (pick-wt=10): 117 [] -topological_space(A)| -top_str(A)|element($f11(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=8): 118 [] -topological_space(A)| -top_str(A)|open_subset($f11(A),A).
% 3.23/3.44  ** KEPT (pick-wt=8): 119 [] -rel_str(A)|element($f12(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=6): 120 [] -rel_str(A)|directed_subset($f12(A),A).
% 3.23/3.44  ** KEPT (pick-wt=6): 121 [] -rel_str(A)|filtered_subset($f12(A),A).
% 3.23/3.44  ** KEPT (pick-wt=2): 122 [] -empty_carrier($c9).
% 3.23/3.44  ** KEPT (pick-wt=2): 123 [] -trivial_carrier($c9).
% 3.23/3.44  ** KEPT (pick-wt=2): 124 [] -v1_yellow_3($c9).
% 3.23/3.44  ** KEPT (pick-wt=2): 125 [] -empty_carrier($c10).
% 3.23/3.44  ** KEPT (pick-wt=2): 126 [] -empty_carrier($c11).
% 3.23/3.44  ** KEPT (pick-wt=2): 127 [] -empty($c12).
% 3.23/3.44  ** KEPT (pick-wt=10): 128 [] -topological_space(A)| -top_str(A)|element($f14(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=8): 129 [] -topological_space(A)| -top_str(A)|open_subset($f14(A),A).
% 3.23/3.44  ** KEPT (pick-wt=8): 130 [] -topological_space(A)| -top_str(A)|closed_subset($f14(A),A).
% 3.23/3.44  ** KEPT (pick-wt=12): 131 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f15(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=9): 132 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f15(A)).
% 3.23/3.44  ** KEPT (pick-wt=9): 133 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f15(A)).
% 3.23/3.44  ** KEPT (pick-wt=10): 134 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f15(A),A).
% 3.23/3.44  ** KEPT (pick-wt=10): 135 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f15(A),A).
% 3.23/3.44  ** KEPT (pick-wt=3): 136 [] -empty($f16(A)).
% 3.23/3.44  ** KEPT (pick-wt=2): 137 [] -empty_carrier($c13).
% 3.23/3.44  ** KEPT (pick-wt=5): 138 [] empty(A)| -empty($f17(A)).
% 3.23/3.44  ** KEPT (pick-wt=2): 139 [] -empty_carrier($c15).
% 3.23/3.44  ** KEPT (pick-wt=12): 140 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f18(A),powerset(the_carrier(A))).
% 3.23/3.44  ** KEPT (pick-wt=9): 141 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f18(A)).
% 3.23/3.44  ** KEPT (pick-wt=10): 142 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f18(A),A).
% 3.23/3.44  ** KEPT (pick-wt=10): 143 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f18(A),A).
% 3.23/3.44  ** KEPT (pick-wt=9): 144 [] -one_sorted_str(A)|element($f19(A),powerset(powerset(the_carrier(A)))).
% 3.23/3.44  ** KEPT (pick-wt=5): 145 [] -one_sorted_str(A)| -empty($f19(A)).
% 3.23/3.44  ** KEPT (pick-wt=5): 146 [] -one_sorted_str(A)|finite($f19(A)).
% 3.23/3.44  ** KEPT (pick-wt=5): 147 [] empty(A)| -empty($f20(A)).
% 3.23/3.45  ** KEPT (pick-wt=8): 148 [] -top_str(A)|element($f21(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=5): 149 [] -top_str(A)|empty($f21(A)).
% 3.23/3.45  ** KEPT (pick-wt=5): 150 [] -top_str(A)|v1_membered($f21(A)).
% 3.23/3.45  ** KEPT (pick-wt=5): 151 [] -top_str(A)|v2_membered($f21(A)).
% 3.23/3.45  ** KEPT (pick-wt=5): 152 [] -top_str(A)|v3_membered($f21(A)).
% 3.23/3.45  ** KEPT (pick-wt=5): 153 [] -top_str(A)|v4_membered($f21(A)).
% 3.23/3.45  ** KEPT (pick-wt=5): 154 [] -top_str(A)|v5_membered($f21(A)).
% 3.23/3.45  ** KEPT (pick-wt=6): 155 [] -top_str(A)|boundary_set($f21(A),A).
% 3.23/3.45  ** KEPT (pick-wt=20): 156 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f22(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=17): 157 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f22(A)).
% 3.23/3.45  ** KEPT (pick-wt=20): 158 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f22(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=18): 159 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|filtered_subset($f22(A),A).
% 3.23/3.45  ** KEPT (pick-wt=18): 160 [] 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($f22(A),A).
% 3.23/3.45  ** KEPT (pick-wt=2): 161 [] -empty_carrier($c16).
% 3.23/3.45  ** KEPT (pick-wt=10): 162 [] empty_carrier(A)| -one_sorted_str(A)|element($f23(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=7): 163 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f23(A)).
% 3.23/3.45  ** KEPT (pick-wt=10): 164 [] -topological_space(A)| -top_str(A)|element($f24(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=7): 165 [] -topological_space(A)| -top_str(A)|empty($f24(A)).
% 3.23/3.45  ** KEPT (pick-wt=8): 166 [] -topological_space(A)| -top_str(A)|open_subset($f24(A),A).
% 3.23/3.45  ** KEPT (pick-wt=8): 167 [] -topological_space(A)| -top_str(A)|closed_subset($f24(A),A).
% 3.23/3.45  ** KEPT (pick-wt=7): 168 [] -topological_space(A)| -top_str(A)|v1_membered($f24(A)).
% 3.23/3.45  ** KEPT (pick-wt=7): 169 [] -topological_space(A)| -top_str(A)|v2_membered($f24(A)).
% 3.23/3.45  ** KEPT (pick-wt=7): 170 [] -topological_space(A)| -top_str(A)|v3_membered($f24(A)).
% 3.23/3.45  ** KEPT (pick-wt=7): 171 [] -topological_space(A)| -top_str(A)|v4_membered($f24(A)).
% 3.23/3.45  ** KEPT (pick-wt=7): 172 [] -topological_space(A)| -top_str(A)|v5_membered($f24(A)).
% 3.23/3.45  ** KEPT (pick-wt=8): 173 [] -topological_space(A)| -top_str(A)|boundary_set($f24(A),A).
% 3.23/3.45  ** KEPT (pick-wt=8): 174 [] -topological_space(A)| -top_str(A)|nowhere_dense($f24(A),A).
% 3.23/3.45  ** KEPT (pick-wt=10): 175 [] -topological_space(A)| -top_str(A)|element($f25(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=8): 176 [] -topological_space(A)| -top_str(A)|closed_subset($f25(A),A).
% 3.23/3.45  ** KEPT (pick-wt=12): 177 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f26(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=9): 178 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f26(A)).
% 3.23/3.45  ** KEPT (pick-wt=10): 179 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f26(A),A).
% 3.23/3.45  ** KEPT (pick-wt=8): 180 [] -rel_str(A)|element($f27(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=6): 181 [] -rel_str(A)|lower_relstr_subset($f27(A),A).
% 3.23/3.45  ** KEPT (pick-wt=6): 182 [] -rel_str(A)|upper_relstr_subset($f27(A),A).
% 3.23/3.45  ** KEPT (pick-wt=10): 183 [] empty_carrier(A)| -rel_str(A)|element($f28(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=7): 184 [] empty_carrier(A)| -rel_str(A)| -empty($f28(A)).
% 3.23/3.45  ** KEPT (pick-wt=8): 185 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f28(A),A).
% 3.23/3.45  ** KEPT (pick-wt=8): 186 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f28(A),A).
% 3.23/3.45  ** KEPT (pick-wt=14): 187 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f29(A),powerset(the_carrier(A))).
% 3.23/3.45  ** KEPT (pick-wt=11): 188 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f29(A)).
% 3.33/3.45  ** KEPT (pick-wt=12): 189 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f29(A),A).
% 3.33/3.45  ** KEPT (pick-wt=12): 190 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f29(A),A).
% 3.33/3.45  ** KEPT (pick-wt=8): 191 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 3.33/3.45  ** KEPT (pick-wt=8): 192 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 3.33/3.45  ** KEPT (pick-wt=22): 193 [] -element(A,powerset(the_carrier(boole_POSet(B))))| -upper_relstr_subset(A,boole_POSet(B))| -subset(C,D)| -subset(D,B)| -in(C,A)|in(D,A).
% 3.33/3.45  ** KEPT (pick-wt=17): 194 [] -element(A,powerset(the_carrier(boole_POSet(B))))|upper_relstr_subset(A,boole_POSet(B))|subset($f31(B,A),$f30(B,A)).
% 3.33/3.45  ** KEPT (pick-wt=15): 195 [] -element(A,powerset(the_carrier(boole_POSet(B))))|upper_relstr_subset(A,boole_POSet(B))|subset($f30(B,A),B).
% 3.33/3.45  ** KEPT (pick-wt=15): 196 [] -element(A,powerset(the_carrier(boole_POSet(B))))|upper_relstr_subset(A,boole_POSet(B))|in($f31(B,A),A).
% 3.33/3.45  ** KEPT (pick-wt=15): 197 [] -element(A,powerset(the_carrier(boole_POSet(B))))|upper_relstr_subset(A,boole_POSet(B))| -in($f30(B,A),A).
% 3.33/3.45  ** KEPT (pick-wt=7): 199 [copy,198,flip.2] -one_sorted_str(A)|the_carrier(A)=cast_as_carrier_subset(A).
% 3.33/3.45  ** KEPT (pick-wt=6): 200 [] -in(A,B)|element(A,B).
% 3.33/3.45  ** KEPT (pick-wt=8): 201 [] -element(A,B)|empty(B)|in(A,B).
% 3.33/3.45  ** KEPT (pick-wt=13): 202 [] -in($f32(A,B),A)| -in($f32(A,B),B)|A=B.
% 3.33/3.45  ** KEPT (pick-wt=7): 203 [] -element(A,powerset(B))|subset(A,B).
% 3.33/3.45  ** KEPT (pick-wt=7): 204 [] element(A,powerset(B))| -subset(A,B).
% 3.33/3.45  ** KEPT (pick-wt=19): 205 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -in(C,neighborhood_system(A,B))|point_neighbourhood(C,A,B).
% 3.33/3.45  ** KEPT (pick-wt=19): 206 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|in(C,neighborhood_system(A,B))| -point_neighbourhood(C,A,B).
% 3.33/3.45  ** KEPT (pick-wt=12): 207 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|subset(interior(A,B),B).
% 3.33/3.45  ** KEPT (pick-wt=10): 208 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.33/3.45  ** KEPT (pick-wt=2): 209 [] -empty_carrier($c19).
% 3.33/3.45  ** KEPT (pick-wt=9): 210 [] -is_a_convergence_point_of_set($c19,$c17,$c18)| -subset(neighborhood_system($c19,$c18),$c17).
% 3.33/3.45  ** KEPT (pick-wt=25): 211 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -open_subset(B,A)| -in(C,B)|point_neighbourhood(B,A,C).
% 3.33/3.45  ** KEPT (pick-wt=9): 212 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.33/3.45  ** KEPT (pick-wt=5): 213 [] -empty(A)|A=empty_set.
% 3.33/3.45  ** KEPT (pick-wt=5): 214 [] -in(A,B)| -empty(B).
% 3.33/3.45  ** KEPT (pick-wt=7): 215 [] -empty(A)|A=B| -empty(B).
% 3.33/3.45  42 back subsumes 9.
% 3.33/3.45  
% 3.33/3.45  ------------> process sos:
% 3.33/3.45  ** KEPT (pick-wt=3): 221 [] A=A.
% 3.33/3.45  ** KEPT (pick-wt=8): 222 [] subset(A,B)|in($f1(A,B),A).
% 3.33/3.45  ** KEPT (pick-wt=3): 223 [] strict_rel_str(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 224 [] rel_str(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=2): 225 [] rel_str($c1).
% 3.33/3.45  ** KEPT (pick-wt=2): 226 [] top_str($c2).
% 3.33/3.45  ** KEPT (pick-wt=2): 227 [] one_sorted_str($c3).
% 3.33/3.45  ** KEPT (pick-wt=6): 228 [] relation_of2($f4(A,B),A,B).
% 3.33/3.45  ** KEPT (pick-wt=4): 229 [] element($f5(A),A).
% 3.33/3.45  ** KEPT (pick-wt=6): 230 [] relation_of2_as_subset($f6(A,B),A,B).
% 3.33/3.45  ** KEPT (pick-wt=2): 231 [] empty(empty_set).
% 3.33/3.45  ** KEPT (pick-wt=2): 232 [] relation(empty_set).
% 3.33/3.45  ** KEPT (pick-wt=2): 233 [] relation_empty_yielding(empty_set).
% 3.33/3.45    Following clause subsumed by 223 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 234 [] reflexive_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 235 [] transitive_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 236 [] antisymmetric_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 237 [] lower_bounded_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 238 [] upper_bounded_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 239 [] bounded_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 240 [] up_complete_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 241 [] join_complete_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 242 [] distributive_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 243 [] heyting_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 244 [] complemented_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 245 [] boolean_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 246 [] with_suprema_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 247 [] with_infima_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 248 [] complete_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 223 during input processing: 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 234 during input processing: 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 235 during input processing: 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 236 during input processing: 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 237 during input processing: 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 238 during input processing: 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 239 during input processing: 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 240 during input processing: 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 241 during input processing: 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 242 during input processing: 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 243 during input processing: 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 244 during input processing: 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 245 during input processing: 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 246 during input processing: 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 247 during input processing: 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 248 during input processing: 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 231 during input processing: 0 [] empty(empty_set).
% 3.33/3.45    Following clause subsumed by 232 during input processing: 0 [] relation(empty_set).
% 3.33/3.45    Following clause subsumed by 223 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 234 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 235 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 236 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 223 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 234 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 235 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 236 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 237 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 238 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 239 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 246 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 247 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 248 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 223 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 234 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 235 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 236 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 237 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 238 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 239 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 249 [] directed_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 240 during input processing: 0 [] up_complete_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 241 during input processing: 0 [] join_complete_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 246 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 247 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 3.33/3.45    Following clause subsumed by 248 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 3.33/3.45  ** KEPT (pick-wt=2): 250 [] rel_str($c4).
% 3.33/3.45  ** KEPT (pick-wt=2): 251 [] reflexive_relstr($c4).
% 3.33/3.45  ** KEPT (pick-wt=2): 252 [] transitive_relstr($c4).
% 3.33/3.45  ** KEPT (pick-wt=2): 253 [] antisymmetric_relstr($c4).
% 3.33/3.45  ** KEPT (pick-wt=2): 254 [] connected_relstr($c4).
% 3.33/3.45  ** KEPT (pick-wt=2): 255 [] rel_str($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 256 [] strict_rel_str($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 257 [] reflexive_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 258 [] transitive_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 259 [] antisymmetric_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 260 [] with_suprema_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 261 [] with_infima_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 262 [] complete_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 263 [] lower_bounded_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 264 [] upper_bounded_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 265 [] bounded_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 266 [] up_complete_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 267 [] join_complete_relstr($c5).
% 3.33/3.45  ** KEPT (pick-wt=2): 268 [] finite($c6).
% 3.33/3.45  ** KEPT (pick-wt=2): 269 [] rel_str($c7).
% 3.33/3.45  ** KEPT (pick-wt=2): 270 [] strict_rel_str($c7).
% 3.33/3.45  ** KEPT (pick-wt=2): 271 [] reflexive_relstr($c7).
% 3.33/3.45  ** KEPT (pick-wt=2): 272 [] transitive_relstr($c7).
% 3.33/3.45  ** KEPT (pick-wt=2): 273 [] antisymmetric_relstr($c7).
% 3.33/3.45  ** KEPT (pick-wt=2): 274 [] complete_relstr($c7).
% 3.33/3.45  ** KEPT (pick-wt=2): 275 [] empty($c8).
% 3.33/3.45  ** KEPT (pick-wt=2): 276 [] relation($c8).
% 3.33/3.45  ** KEPT (pick-wt=7): 277 [] empty(A)|element($f10(A),powerset(A)).
% 3.33/3.45  ** KEPT (pick-wt=2): 278 [] rel_str($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 279 [] strict_rel_str($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 280 [] reflexive_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 281 [] transitive_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 282 [] antisymmetric_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 283 [] lower_bounded_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 284 [] upper_bounded_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 285 [] bounded_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 286 [] distributive_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 287 [] heyting_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 288 [] complemented_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 289 [] boolean_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 290 [] with_suprema_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 291 [] with_infima_relstr($c9).
% 3.33/3.45  ** KEPT (pick-wt=2): 292 [] rel_str($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 293 [] strict_rel_str($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 294 [] reflexive_relstr($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 295 [] transitive_relstr($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 296 [] antisymmetric_relstr($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 297 [] with_suprema_relstr($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 298 [] with_infima_relstr($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 299 [] complete_relstr($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 300 [] trivial_carrier($c10).
% 3.33/3.45  ** KEPT (pick-wt=2): 301 [] rel_str($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 302 [] strict_rel_str($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 303 [] reflexive_relstr($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 304 [] transitive_relstr($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 305 [] antisymmetric_relstr($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 306 [] with_suprema_relstr($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 307 [] with_infima_relstr($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 308 [] complete_relstr($c11).
% 3.33/3.45  ** KEPT (pick-wt=2): 309 [] relation($c12).
% 3.33/3.45  ** KEPT (pick-wt=5): 310 [] element($f13(A),powerset(A)).
% 3.33/3.45  ** KEPT (pick-wt=3): 311 [] empty($f13(A)).
% 3.33/3.45  ** KEPT (pick-wt=6): 312 [] element($f16(A),powerset(powerset(A))).
% 3.42/3.56  ** KEPT (pick-wt=3): 313 [] finite($f16(A)).
% 3.42/3.56  ** KEPT (pick-wt=2): 314 [] rel_str($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 315 [] reflexive_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 316 [] transitive_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 317 [] antisymmetric_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 318 [] with_suprema_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 319 [] with_infima_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 320 [] complete_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 321 [] lower_bounded_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 322 [] upper_bounded_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=2): 323 [] bounded_relstr($c13).
% 3.42/3.56  ** KEPT (pick-wt=7): 324 [] empty(A)|element($f17(A),powerset(A)).
% 3.42/3.56  ** KEPT (pick-wt=5): 325 [] empty(A)|finite($f17(A)).
% 3.42/3.56  ** KEPT (pick-wt=2): 326 [] relation($c14).
% 3.42/3.56  ** KEPT (pick-wt=2): 327 [] relation_empty_yielding($c14).
% 3.42/3.56  ** KEPT (pick-wt=2): 328 [] one_sorted_str($c15).
% 3.42/3.56  ** KEPT (pick-wt=7): 329 [] empty(A)|element($f20(A),powerset(A)).
% 3.42/3.56  ** KEPT (pick-wt=5): 330 [] empty(A)|finite($f20(A)).
% 3.42/3.56  ** KEPT (pick-wt=2): 331 [] rel_str($c16).
% 3.42/3.56  ** KEPT (pick-wt=2): 332 [] strict_rel_str($c16).
% 3.42/3.56  ** KEPT (pick-wt=2): 333 [] transitive_relstr($c16).
% 3.42/3.56  ** KEPT (pick-wt=2): 334 [] directed_relstr($c16).
% 3.42/3.56  ** KEPT (pick-wt=3): 335 [] subset(A,A).
% 3.42/3.56  ** KEPT (pick-wt=13): 336 [] in($f32(A,B),A)|in($f32(A,B),B)|A=B.
% 3.42/3.56  ** KEPT (pick-wt=2): 337 [] topological_space($c19).
% 3.42/3.56  ** KEPT (pick-wt=2): 338 [] top_str($c19).
% 3.42/3.56  ** KEPT (pick-wt=4): 339 [] element($c18,the_carrier($c19)).
% 3.42/3.56  ** KEPT (pick-wt=5): 340 [] upper_relstr_subset($c17,boole_POSet(cast_as_carrier_subset($c19))).
% 3.42/3.56  ** KEPT (pick-wt=7): 341 [] element($c17,powerset(the_carrier(boole_POSet(cast_as_carrier_subset($c19))))).
% 3.42/3.56  ** KEPT (pick-wt=9): 342 [] is_a_convergence_point_of_set($c19,$c17,$c18)|subset(neighborhood_system($c19,$c18),$c17).
% 3.42/3.56    Following clause subsumed by 221 during input processing: 0 [copy,221,flip.1] A=A.
% 3.42/3.56  221 back subsumes 220.
% 3.42/3.56  221 back subsumes 219.
% 3.42/3.56  
% 3.42/3.56  ======= end of input processing =======
% 3.42/3.56  
% 3.42/3.56  =========== start of search ===========
% 3.42/3.56  
% 3.42/3.56  
% 3.42/3.56  Resetting weight limit to 2.
% 3.42/3.56  
% 3.42/3.56  
% 3.42/3.56  Resetting weight limit to 2.
% 3.42/3.56  
% 3.42/3.56  sos_size=324
% 3.42/3.56  
% 3.42/3.56  Search stopped because sos empty.
% 3.42/3.56  
% 3.42/3.56  
% 3.42/3.56  Search stopped because sos empty.
% 3.42/3.56  
% 3.42/3.56  ============ end of search ============
% 3.42/3.56  
% 3.42/3.56  -------------- statistics -------------
% 3.42/3.56  clauses given                385
% 3.42/3.56  clauses generated           9259
% 3.42/3.56  clauses kept                 602
% 3.42/3.56  clauses forward subsumed     213
% 3.42/3.56  clauses back subsumed          3
% 3.42/3.56  Kbytes malloced             5859
% 3.42/3.56  
% 3.42/3.56  ----------- times (seconds) -----------
% 3.42/3.56  user CPU time          0.14          (0 hr, 0 min, 0 sec)
% 3.42/3.56  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 3.42/3.56  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 3.42/3.56  
% 3.42/3.56  Process 1432 finished Wed Jul 27 07:56:45 2022
% 3.42/3.56  Otter interrupted
% 3.42/3.56  PROOF NOT FOUND
%------------------------------------------------------------------------------