TSTP Solution File: SEU397+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU397+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:16:05 EDT 2022
% Result : Unknown 3.82s 4.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU397+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n003.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 07:42:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.69/3.79 ----- Otter 3.3f, August 2004 -----
% 3.69/3.79 The process was started by sandbox2 on n003.cluster.edu,
% 3.69/3.79 Wed Jul 27 07:42:11 2022
% 3.69/3.79 The command was "./otter". The process ID is 14691.
% 3.69/3.79
% 3.69/3.79 set(prolog_style_variables).
% 3.69/3.79 set(auto).
% 3.69/3.79 dependent: set(auto1).
% 3.69/3.79 dependent: set(process_input).
% 3.69/3.79 dependent: clear(print_kept).
% 3.69/3.79 dependent: clear(print_new_demod).
% 3.69/3.79 dependent: clear(print_back_demod).
% 3.69/3.79 dependent: clear(print_back_sub).
% 3.69/3.79 dependent: set(control_memory).
% 3.69/3.79 dependent: assign(max_mem, 12000).
% 3.69/3.79 dependent: assign(pick_given_ratio, 4).
% 3.69/3.79 dependent: assign(stats_level, 1).
% 3.69/3.79 dependent: assign(max_seconds, 10800).
% 3.69/3.79 clear(print_given).
% 3.69/3.79
% 3.69/3.79 formula_list(usable).
% 3.69/3.79 all A (A=A).
% 3.69/3.79 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 3.69/3.79 all A B (one_sorted_str(A)&net_str(B,A)-> (strict_net_str(B,A)->B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)))).
% 3.69/3.79 all A B (in(A,B)-> -in(B,A)).
% 3.69/3.79 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))).
% 3.69/3.79 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))).
% 3.69/3.79 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))).
% 3.69/3.79 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))).
% 3.69/3.79 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))).
% 3.69/3.79 all A (empty(A)->finite(A)).
% 3.69/3.79 all A (rel_str(A)-> (with_suprema_relstr(A)-> -empty_carrier(A))).
% 3.69/3.79 all A (empty(A)->relation(A)).
% 3.69/3.79 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 3.69/3.79 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))))).
% 3.69/3.79 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 3.69/3.79 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 3.69/3.79 all A (rel_str(A)-> (with_infima_relstr(A)-> -empty_carrier(A))).
% 3.69/3.79 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->boundary_set(B,A))))).
% 3.69/3.79 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))).
% 3.69/3.79 all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->nowhere_dense(B,A))))).
% 3.69/3.79 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&bounded_relstr(A))).
% 3.69/3.79 all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (nowhere_dense(B,A)->boundary_set(B,A))))).
% 3.69/3.79 all A (rel_str(A)-> (bounded_relstr(A)->lower_bounded_relstr(A)&upper_bounded_relstr(A))).
% 3.69/3.79 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))))).
% 3.69/3.79 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&trivial_carrier(A)-> -empty_carrier(A)&reflexive_relstr(A)&connected_relstr(A))).
% 3.69/3.79 all A (rel_str(A)-> (lower_bounded_relstr(A)&upper_bounded_relstr(A)->bounded_relstr(A))).
% 3.69/3.79 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))))).
% 3.69/3.79 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))).
% 3.69/3.79 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (is_eventually_in(A,B,C)<-> (exists D (element(D,the_carrier(B))& (all E (element(E,the_carrier(B))-> (related(B,D,E)->in(apply_netmap(A,B,E),C))))))))))).
% 3.69/3.79 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (is_often_in(A,B,C)<-> (all D (element(D,the_carrier(B))-> (exists E (element(E,the_carrier(B))&related(B,D,E)&in(apply_netmap(A,B,E),C)))))))))).
% 3.69/3.79 all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (all C (element(C,powerset(the_carrier(A)))-> (C=topstr_closure(A,B)<-> (all D (in(D,the_carrier(A))-> (in(D,C)<-> (all E (element(E,powerset(the_carrier(A)))-> -(open_subset(E,A)&in(D,E)&disjoint(B,E))))))))))))).
% 3.69/3.79 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)))))))).
% 3.69/3.79 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)))).
% 3.69/3.79 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))->apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C)))))).
% 3.69/3.79 all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,the_carrier(A))-> (is_a_cluster_point_of_netstr(A,B,C)<-> (all D (point_neighbourhood(D,A,C)->is_often_in(A,B,D))))))))).
% 3.69/3.79 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 3.69/3.79 all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))->strict_net_str(net_str_of(A,B,C,D),A)&net_str(net_str_of(A,B,C,D),A)).
% 3.69/3.79 all A B (-empty_carrier(A)&topological_space(A)&top_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)->element(lim_points_of_net(A,B),powerset(the_carrier(A)))).
% 3.69/3.79 $T.
% 3.69/3.79 all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(interior(A,B),powerset(the_carrier(A)))).
% 3.69/3.79 all A B C D (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,the_carrier(A),the_carrier(B))&relation_of2(C,the_carrier(A),the_carrier(B))&element(D,the_carrier(A))->element(apply_on_structs(A,B,C,D),the_carrier(B))).
% 3.69/3.79 $T.
% 3.69/3.79 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)))))).
% 3.69/3.79 $T.
% 3.69/3.79 all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 3.69/3.79 $T.
% 3.69/3.79 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)&element(C,the_carrier(B))->element(apply_netmap(A,B,C),the_carrier(A))).
% 3.69/3.79 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty(B)&element(B,powerset(the_carrier(A)))& -empty(C)&filtered_subset(C,boole_POSet(B))&upper_relstr_subset(C,boole_POSet(B))&element(C,powerset(the_carrier(boole_POSet(B))))-> -empty_carrier(net_of_bool_filter(A,B,C))&strict_net_str(net_of_bool_filter(A,B,C),A)&net_str(net_of_bool_filter(A,B,C),A)).
% 3.69/3.79 all A (strict_rel_str(boole_POSet(A))&rel_str(boole_POSet(A))).
% 3.69/3.79 all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(topstr_closure(A,B),powerset(the_carrier(A)))).
% 3.69/3.79 all A B C (one_sorted_str(A)&net_str(B,A)->strict_net_str(preimage_subnetstr(A,B,C),A)&subnetstr(preimage_subnetstr(A,B,C),A,B)).
% 3.69/3.79 all A (rel_str(A)->one_sorted_str(A)).
% 3.69/3.79 all A (top_str(A)->one_sorted_str(A)).
% 3.69/3.79 $T.
% 3.69/3.79 all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 3.69/3.79 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)))))).
% 3.69/3.79 $T.
% 3.69/3.79 $T.
% 3.69/3.79 all A B (one_sorted_str(A)&net_str(B,A)-> (all C (subnetstr(C,A,B)->net_str(C,A)))).
% 3.69/3.79 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 3.69/3.79 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C (subnet(C,A,B)-> -empty_carrier(C)&transitive_relstr(C)&directed_relstr(C)&net_str(C,A)))).
% 3.69/3.79 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 3.69/3.79 $T.
% 3.69/3.79 all A B (one_sorted_str(A)&net_str(B,A)->function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))&relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 3.69/3.79 exists A rel_str(A).
% 3.69/3.79 exists A top_str(A).
% 3.69/3.79 exists A one_sorted_str(A).
% 3.69/3.79 all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 3.69/3.79 all A B (-empty_carrier(A)&topological_space(A)&top_str(A)&element(B,the_carrier(A))-> (exists C point_neighbourhood(C,A,B))).
% 3.69/3.79 all A B exists C relation_of2(C,A,B).
% 3.69/3.79 all A exists B element(B,A).
% 3.69/3.79 all A B (one_sorted_str(A)&net_str(B,A)-> (exists C subnetstr(C,A,B))).
% 3.69/3.79 all A B exists C relation_of2_as_subset(C,A,B).
% 3.69/3.79 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (exists C subnet(C,A,B))).
% 3.69/3.79 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)).
% 3.69/3.79 empty(empty_set).
% 3.69/3.79 relation(empty_set).
% 3.69/3.79 relation_empty_yielding(empty_set).
% 3.69/3.79 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 3.69/3.79 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)).
% 3.69/3.79 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> -empty(the_mapping(A,B))&relation(the_mapping(A,B))&function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 3.69/3.79 all A B C (one_sorted_str(A)&transitive_relstr(B)&net_str(B,A)->transitive_relstr(preimage_subnetstr(A,B,C))&strict_net_str(preimage_subnetstr(A,B,C),A)&full_subnetstr(preimage_subnetstr(A,B,C),A,B)).
% 3.69/3.79 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 3.69/3.79 all A (-empty(powerset(A))).
% 3.69/3.79 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))).
% 3.69/3.79 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)))))).
% 3.69/3.79 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(cast_as_carrier_subset(A))).
% 3.69/3.79 all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->closed_subset(topstr_closure(A,B),A)).
% 3.69/3.79 all A (with_suprema_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)).
% 3.69/3.79 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))).
% 3.69/3.79 all A (-empty_carrier(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))).
% 3.69/3.79 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)).
% 3.69/3.79 empty(empty_set).
% 3.69/3.79 relation(empty_set).
% 3.69/3.79 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.69/3.79 all A (with_infima_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)).
% 3.69/3.79 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty(B)&element(B,powerset(the_carrier(A)))& -empty(C)&filtered_subset(C,boole_POSet(B))&upper_relstr_subset(C,boole_POSet(B))&element(C,powerset(the_carrier(boole_POSet(B))))-> -empty_carrier(net_of_bool_filter(A,B,C))&reflexive_relstr(net_of_bool_filter(A,B,C))&transitive_relstr(net_of_bool_filter(A,B,C))&strict_net_str(net_of_bool_filter(A,B,C),A)).
% 3.69/3.79 all A (topological_space(A)&top_str(A)->closed_subset(cast_as_carrier_subset(A),A)).
% 3.69/3.79 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)).
% 3.69/3.79 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty(B)&element(B,powerset(the_carrier(A)))& -empty(C)&filtered_subset(C,boole_POSet(B))&upper_relstr_subset(C,boole_POSet(B))&proper_element(C,powerset(the_carrier(boole_POSet(B))))&element(C,powerset(the_carrier(boole_POSet(B))))-> -empty_carrier(net_of_bool_filter(A,B,C))&reflexive_relstr(net_of_bool_filter(A,B,C))&transitive_relstr(net_of_bool_filter(A,B,C))&strict_net_str(net_of_bool_filter(A,B,C),A)&directed_relstr(net_of_bool_filter(A,B,C))).
% 3.69/3.79 all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->open_subset(interior(A,B),A)).
% 3.69/3.79 all A B C D (one_sorted_str(A)& -empty(B)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> -empty_carrier(net_str_of(A,B,C,D))&strict_net_str(net_str_of(A,B,C,D),A)).
% 3.69/3.79 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))).
% 3.69/3.79 all A (topological_space(A)&top_str(A)->open_subset(cast_as_carrier_subset(A),A)&closed_subset(cast_as_carrier_subset(A),A)).
% 3.69/3.79 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))).
% 3.69/3.79 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))).
% 3.69/3.79 all A (top_str(A)->dense(cast_as_carrier_subset(A),A)).
% 3.69/3.79 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)))).
% 3.69/3.79 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))).
% 3.69/3.79 all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> (all E F G H (net_str_of(A,B,C,D)=net_str_of(E,F,G,H)->A=E&B=F&C=G&D=H))).
% 3.69/3.79 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)))).
% 3.69/3.79 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)))).
% 3.69/3.79 exists A (rel_str(A)& -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&connected_relstr(A)).
% 3.69/3.79 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)).
% 3.69/3.79 exists A (-empty(A)&finite(A)).
% 3.69/3.79 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A)).
% 3.69/3.79 exists A (empty(A)&relation(A)).
% 3.69/3.79 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.69/3.79 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)))).
% 3.69/3.79 all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&directed_subset(B,A)&filtered_subset(B,A)))).
% 3.69/3.79 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)).
% 3.69/3.79 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (exists C (subnet(C,A,B)& -empty_carrier(C)&transitive_relstr(C)&strict_net_str(C,A)&directed_relstr(C)))).
% 3.69/3.79 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)).
% 3.69/3.79 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)).
% 3.69/3.79 exists A (-empty(A)&relation(A)).
% 3.69/3.79 all A exists B (element(B,powerset(A))&empty(B)).
% 3.69/3.79 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)&closed_subset(B,A)))).
% 3.69/3.79 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)))).
% 3.69/3.79 all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 3.69/3.79 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)).
% 3.69/3.79 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.69/3.79 exists A (relation(A)&relation_empty_yielding(A)).
% 3.69/3.79 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 3.69/3.79 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)))).
% 3.69/3.79 all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 3.69/3.79 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.69/3.79 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)))).
% 3.69/3.79 all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 3.69/3.79 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)))).
% 3.69/3.79 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&transitive_relstr(A)&directed_relstr(A)).
% 3.69/3.79 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 3.69/3.79 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)))).
% 3.69/3.80 all A (one_sorted_str(A)-> (exists B (net_str(B,A)& -empty_carrier(B)&reflexive_relstr(B)&transitive_relstr(B)&antisymmetric_relstr(B)&strict_net_str(B,A)&directed_relstr(B)))).
% 3.69/3.80 all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 3.69/3.80 all A B (one_sorted_str(A)&net_str(B,A)-> (exists C (subnetstr(C,A,B)&strict_net_str(C,A)&full_subnetstr(C,A,B)))).
% 3.69/3.80 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)))).
% 3.69/3.80 all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 3.69/3.80 all A B (one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> (exists C (subnetstr(C,A,B)& -empty_carrier(C)&strict_net_str(C,A)&full_subnetstr(C,A,B)))).
% 3.69/3.80 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)))).
% 3.69/3.80 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)))).
% 3.69/3.80 all A B C D (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,the_carrier(A),the_carrier(B))&relation_of2(C,the_carrier(A),the_carrier(B))&element(D,the_carrier(A))->apply_on_structs(A,B,C,D)=apply(C,D)).
% 3.69/3.80 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 3.69/3.80 all A B subset(A,A).
% 3.69/3.80 all A B (disjoint(A,B)->disjoint(B,A)).
% 3.69/3.80 all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (-empty(B)&filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))&upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))&proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))&element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))-> (all C (element(C,the_carrier(A))-> (in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))<->is_a_convergence_point_of_set(A,B,C))))))).
% 3.69/3.80 all A B (in(A,B)->element(A,B)).
% 3.69/3.80 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)))-> (in(B,topstr_closure(A,C))-> (all D (-empty(D)&filtered_subset(D,boole_POSet(cast_as_carrier_subset(A)))&upper_relstr_subset(D,boole_POSet(cast_as_carrier_subset(A)))&proper_element(D,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))&element(D,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))-> (D=neighborhood_system(A,B)->is_often_in(A,net_of_bool_filter(A,cast_as_carrier_subset(A),D),C)))))))))).
% 3.69/3.80 -(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))-> (in(C,topstr_closure(A,B))<-> (exists D (-empty_carrier(D)&transitive_relstr(D)&directed_relstr(D)&net_str(D,A)&is_eventually_in(A,D,B)&is_a_cluster_point_of_netstr(A,D,C)))))))))).
% 3.69/3.80 all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (-empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C (element(C,the_carrier(A))-> (in(C,lim_points_of_net(A,B))->is_a_cluster_point_of_netstr(A,B,C))))))).
% 3.69/3.80 all A B (element(A,B)->empty(B)|in(A,B)).
% 3.69/3.80 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.69/3.80 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C (is_often_in(A,B,C)->subnet(preimage_subnetstr(A,B,C),A,B)))))).
% 3.69/3.80 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C D (subnet(D,A,B)-> (D=preimage_subnetstr(A,B,C)->is_eventually_in(A,D,C))))))).
% 3.69/3.80 all A B (element(A,powerset(B))<->subset(A,B)).
% 3.69/3.80 all A B (-(-disjoint(A,B)& (all C (-(in(C,A)&in(C,B)))))& -((exists C (in(C,A)&in(C,B)))&disjoint(A,B))).
% 3.69/3.80 all A (-empty_carrier(A)&topological_space(A)&top_str(A)-> (all B (-empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C (subnet(C,A,B)->subset(lim_points_of_net(A,B),lim_points_of_net(A,C))))))).
% 3.69/3.80 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.69/3.80 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))))))).
% 3.69/3.80 all A (topological_space(A)&top_str(A)-> (all B (top_str(B)-> (all C (element(C,powerset(the_carrier(A)))-> (all D (element(D,powerset(the_carrier(B)))-> (open_subset(D,B)->interior(B,D)=D)& (interior(A,C)=C->open_subset(C,A))))))))).
% 3.69/3.80 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.69/3.80 all A (empty(A)->A=empty_set).
% 3.69/3.80 all A B (-(in(A,B)&empty(B))).
% 3.69/3.80 all A B (-(empty(A)&A!=B&empty(B))).
% 3.69/3.80 end_of_list.
% 3.69/3.80
% 3.69/3.80 -------> usable clausifies to:
% 3.69/3.80
% 3.69/3.80 list(usable).
% 3.69/3.80 0 [] A=A.
% 3.69/3.80 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)).
% 3.69/3.80 0 [] -in(A,B)| -in(B,A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 3.69/3.80 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).
% 3.69/3.80 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).
% 3.69/3.80 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).
% 3.69/3.80 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).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 3.69/3.80 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).
% 3.69/3.80 0 [] -empty(A)|finite(A).
% 3.69/3.80 0 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 3.69/3.80 0 [] -empty(A)|relation(A).
% 3.69/3.80 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 3.69/3.80 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.69/3.80 0 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.69/3.80 0 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 3.69/3.80 0 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 3.69/3.80 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).
% 3.69/3.80 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 3.69/3.80 0 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.69/3.80 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).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 3.69/3.80 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).
% 3.69/3.80 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 3.69/3.80 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)|element($f1(A,B,C),the_carrier(B)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)| -element(E,the_carrier(B))| -related(B,$f1(A,B,C),E)|in(apply_netmap(A,B,E),C).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|element($f2(A,B,C,D),the_carrier(B)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f2(A,B,C,D)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))| -in(apply_netmap(A,B,$f2(A,B,C,D)),C).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|element($f3(A,B,C,D),the_carrier(B)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f3(A,B,C,D)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|in(apply_netmap(A,B,$f3(A,B,C,D)),C).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)|element($f4(A,B,C),the_carrier(B)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)| -element(E,the_carrier(B))| -related(B,$f4(A,B,C),E)| -in(apply_netmap(A,B,E),C).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))| -in(D,C)| -element(E,powerset(the_carrier(A)))| -open_subset(E,A)| -in(D,E)| -disjoint(B,E).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|element($f5(A,B,C,D),powerset(the_carrier(A))).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|open_subset($f5(A,B,C,D),A).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|in(D,$f5(A,B,C,D)).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|disjoint(B,$f5(A,B,C,D)).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f7(A,B,C),the_carrier(A)).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f7(A,B,C),C)| -element(X1,powerset(the_carrier(A)))| -open_subset(X1,A)| -in($f7(A,B,C),X1)| -disjoint(B,X1).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|element($f6(A,B,C),powerset(the_carrier(A))).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|open_subset($f6(A,B,C),A).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|in($f7(A,B,C),$f6(A,B,C)).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|disjoint(B,$f6(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))| -point_neighbourhood(C,A,B)|in(B,interior(A,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))|point_neighbourhood(C,A,B)| -in(B,interior(A,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|neighborhood_system(A,B)=a_2_0_yellow19(A,B).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))| -is_a_cluster_point_of_netstr(A,B,C)| -point_neighbourhood(D,A,C)|is_often_in(A,B,D).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))|is_a_cluster_point_of_netstr(A,B,C)|point_neighbourhood($f8(A,B,C),A,C).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))|is_a_cluster_point_of_netstr(A,B,C)| -is_often_in(A,B,$f8(A,B,C)).
% 3.69/3.80 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 3.69/3.80 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 3.69/3.80 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 3.69/3.80 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str(net_str_of(A,B,C,D),A).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element(lim_points_of_net(A,B),powerset(the_carrier(A))).
% 3.69/3.80 0 [] $T.
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|element(apply_on_structs(A,B,C,D),the_carrier(B)).
% 3.69/3.80 0 [] $T.
% 3.69/3.80 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))))).
% 3.69/3.80 0 [] $T.
% 3.69/3.80 0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 3.69/3.80 0 [] $T.
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|element(apply_netmap(A,B,C),the_carrier(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.80 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.80 0 [] rel_str(boole_POSet(A)).
% 3.69/3.80 0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr(preimage_subnetstr(A,B,C),A,B).
% 3.69/3.80 0 [] -rel_str(A)|one_sorted_str(A).
% 3.69/3.80 0 [] -top_str(A)|one_sorted_str(A).
% 3.69/3.80 0 [] $T.
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 3.69/3.80 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))).
% 3.69/3.80 0 [] $T.
% 3.69/3.80 0 [] $T.
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)|net_str(C,A).
% 3.69/3.80 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)| -empty_carrier(C).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|transitive_relstr(C).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|directed_relstr(C).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|net_str(C,A).
% 3.69/3.80 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.69/3.80 0 [] $T.
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.69/3.80 0 [] rel_str($c1).
% 3.69/3.80 0 [] top_str($c2).
% 3.69/3.80 0 [] one_sorted_str($c3).
% 3.69/3.80 0 [] -one_sorted_str(A)|net_str($f9(A),A).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|point_neighbourhood($f10(A,B),A,B).
% 3.69/3.80 0 [] relation_of2($f11(A,B),A,B).
% 3.69/3.80 0 [] element($f12(A),A).
% 3.69/3.80 0 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f13(A,B),A,B).
% 3.69/3.80 0 [] relation_of2_as_subset($f14(A,B),A,B).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f15(A,B),A,B).
% 3.69/3.80 0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|empty(interior(A,B)).
% 3.69/3.80 0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v1_membered(interior(A,B)).
% 3.69/3.80 0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v2_membered(interior(A,B)).
% 3.69/3.80 0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v3_membered(interior(A,B)).
% 3.69/3.80 0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v4_membered(interior(A,B)).
% 3.69/3.80 0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v5_membered(interior(A,B)).
% 3.69/3.80 0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|boundary_set(interior(A,B),A).
% 3.69/3.80 0 [] empty(empty_set).
% 3.69/3.80 0 [] relation(empty_set).
% 3.69/3.80 0 [] relation_empty_yielding(empty_set).
% 3.69/3.80 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.69/3.80 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.69/3.80 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|transitive_relstr(preimage_subnetstr(A,B,C)).
% 3.69/3.80 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 3.69/3.80 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|full_subnetstr(preimage_subnetstr(A,B,C),A,B).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.69/3.80 0 [] -empty(powerset(A)).
% 3.69/3.80 0 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.80 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.80 0 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] up_complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] join_complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] -v1_yellow_3(boole_POSet(A)).
% 3.69/3.80 0 [] distributive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] heyting_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] complemented_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] boolean_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] with_infima_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -empty(neighborhood_system(A,B)).
% 3.69/3.80 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))).
% 3.69/3.80 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))).
% 3.69/3.80 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))))).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 3.69/3.80 0 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.80 0 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] empty(empty_set).
% 3.69/3.80 0 [] relation(empty_set).
% 3.69/3.80 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.69/3.80 0 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.80 0 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.80 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|directed_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 3.69/3.80 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 3.69/3.80 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 3.69/3.80 0 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.80 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.80 0 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)|open_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.80 0 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.80 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.80 0 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] with_infima_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.80 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.80 0 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] bounded_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] directed_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] up_complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] join_complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] -v1_yellow_3(boole_POSet(A)).
% 3.69/3.80 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] with_infima_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] complete_relstr(boole_POSet(A)).
% 3.69/3.80 0 [] -top_str(A)|dense(cast_as_carrier_subset(A),A).
% 3.69/3.80 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($f16(A,B,C),B,C).
% 3.69/3.80 0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)| -element(C,the_carrier(B))| -in(A,a_2_0_yellow19(B,C))|A=$f16(A,B,C).
% 3.69/3.80 0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)| -element(C,the_carrier(B))|in(A,a_2_0_yellow19(B,C))| -point_neighbourhood(D,B,C)|A!=D.
% 3.69/3.80 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 3.69/3.80 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 3.69/3.80 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|A=E.
% 3.69/3.80 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|B=F.
% 3.69/3.80 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|C=G.
% 3.69/3.80 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|D=H.
% 3.69/3.80 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f17(A),powerset(the_carrier(A))).
% 3.69/3.80 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f17(A)).
% 3.69/3.80 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f17(A),A).
% 3.69/3.80 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f17(A),A).
% 3.69/3.80 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f18(A),powerset(the_carrier(A))).
% 3.69/3.80 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f18(A)).
% 3.69/3.80 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f18(A),A).
% 3.69/3.80 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f18(A),A).
% 3.69/3.80 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f18(A),A).
% 3.69/3.80 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f18(A),A).
% 3.69/3.80 0 [] rel_str($c4).
% 3.69/3.80 0 [] -empty_carrier($c4).
% 3.69/3.80 0 [] reflexive_relstr($c4).
% 3.69/3.80 0 [] transitive_relstr($c4).
% 3.69/3.80 0 [] antisymmetric_relstr($c4).
% 3.69/3.80 0 [] connected_relstr($c4).
% 3.69/3.80 0 [] rel_str($c5).
% 3.69/3.80 0 [] -empty_carrier($c5).
% 3.69/3.80 0 [] strict_rel_str($c5).
% 3.69/3.80 0 [] reflexive_relstr($c5).
% 3.69/3.80 0 [] transitive_relstr($c5).
% 3.69/3.80 0 [] antisymmetric_relstr($c5).
% 3.69/3.80 0 [] with_suprema_relstr($c5).
% 3.69/3.80 0 [] with_infima_relstr($c5).
% 3.69/3.80 0 [] complete_relstr($c5).
% 3.69/3.80 0 [] lower_bounded_relstr($c5).
% 3.69/3.80 0 [] upper_bounded_relstr($c5).
% 3.69/3.80 0 [] bounded_relstr($c5).
% 3.69/3.80 0 [] up_complete_relstr($c5).
% 3.69/3.80 0 [] join_complete_relstr($c5).
% 3.69/3.80 0 [] -empty($c6).
% 3.69/3.80 0 [] finite($c6).
% 3.69/3.80 0 [] rel_str($c7).
% 3.69/3.80 0 [] -empty_carrier($c7).
% 3.69/3.80 0 [] strict_rel_str($c7).
% 3.69/3.80 0 [] reflexive_relstr($c7).
% 3.69/3.80 0 [] transitive_relstr($c7).
% 3.69/3.80 0 [] antisymmetric_relstr($c7).
% 3.69/3.80 0 [] complete_relstr($c7).
% 3.69/3.81 0 [] empty($c8).
% 3.69/3.81 0 [] relation($c8).
% 3.69/3.81 0 [] empty(A)|element($f19(A),powerset(A)).
% 3.69/3.81 0 [] empty(A)| -empty($f19(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|element($f20(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|open_subset($f20(A),A).
% 3.69/3.81 0 [] -rel_str(A)|element($f21(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] -rel_str(A)|directed_subset($f21(A),A).
% 3.69/3.81 0 [] -rel_str(A)|filtered_subset($f21(A),A).
% 3.69/3.81 0 [] rel_str($c9).
% 3.69/3.81 0 [] -empty_carrier($c9).
% 3.69/3.81 0 [] -trivial_carrier($c9).
% 3.69/3.81 0 [] strict_rel_str($c9).
% 3.69/3.81 0 [] reflexive_relstr($c9).
% 3.69/3.81 0 [] transitive_relstr($c9).
% 3.69/3.81 0 [] antisymmetric_relstr($c9).
% 3.69/3.81 0 [] lower_bounded_relstr($c9).
% 3.69/3.81 0 [] upper_bounded_relstr($c9).
% 3.69/3.81 0 [] bounded_relstr($c9).
% 3.69/3.81 0 [] -v1_yellow_3($c9).
% 3.69/3.81 0 [] distributive_relstr($c9).
% 3.69/3.81 0 [] heyting_relstr($c9).
% 3.69/3.81 0 [] complemented_relstr($c9).
% 3.69/3.81 0 [] boolean_relstr($c9).
% 3.69/3.81 0 [] with_suprema_relstr($c9).
% 3.69/3.81 0 [] with_infima_relstr($c9).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f22(A,B),A,B).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f22(A,B)).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f22(A,B)).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f22(A,B),A).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f22(A,B)).
% 3.69/3.81 0 [] rel_str($c10).
% 3.69/3.81 0 [] -empty_carrier($c10).
% 3.69/3.81 0 [] strict_rel_str($c10).
% 3.69/3.81 0 [] reflexive_relstr($c10).
% 3.69/3.81 0 [] transitive_relstr($c10).
% 3.69/3.81 0 [] antisymmetric_relstr($c10).
% 3.69/3.81 0 [] with_suprema_relstr($c10).
% 3.69/3.81 0 [] with_infima_relstr($c10).
% 3.69/3.81 0 [] complete_relstr($c10).
% 3.69/3.81 0 [] trivial_carrier($c10).
% 3.69/3.81 0 [] rel_str($c11).
% 3.69/3.81 0 [] -empty_carrier($c11).
% 3.69/3.81 0 [] strict_rel_str($c11).
% 3.69/3.81 0 [] reflexive_relstr($c11).
% 3.69/3.81 0 [] transitive_relstr($c11).
% 3.69/3.81 0 [] antisymmetric_relstr($c11).
% 3.69/3.81 0 [] with_suprema_relstr($c11).
% 3.69/3.81 0 [] with_infima_relstr($c11).
% 3.69/3.81 0 [] complete_relstr($c11).
% 3.69/3.81 0 [] -empty($c12).
% 3.69/3.81 0 [] relation($c12).
% 3.69/3.81 0 [] element($f23(A),powerset(A)).
% 3.69/3.81 0 [] empty($f23(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|element($f24(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|open_subset($f24(A),A).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|closed_subset($f24(A),A).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f25(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f25(A)).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f25(A)).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f25(A),A).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f25(A),A).
% 3.69/3.81 0 [] element($f26(A),powerset(powerset(A))).
% 3.69/3.81 0 [] -empty($f26(A)).
% 3.69/3.81 0 [] finite($f26(A)).
% 3.69/3.81 0 [] rel_str($c13).
% 3.69/3.81 0 [] -empty_carrier($c13).
% 3.69/3.81 0 [] reflexive_relstr($c13).
% 3.69/3.81 0 [] transitive_relstr($c13).
% 3.69/3.81 0 [] antisymmetric_relstr($c13).
% 3.69/3.81 0 [] with_suprema_relstr($c13).
% 3.69/3.81 0 [] with_infima_relstr($c13).
% 3.69/3.81 0 [] complete_relstr($c13).
% 3.69/3.81 0 [] lower_bounded_relstr($c13).
% 3.69/3.81 0 [] upper_bounded_relstr($c13).
% 3.69/3.81 0 [] bounded_relstr($c13).
% 3.69/3.81 0 [] empty(A)|element($f27(A),powerset(A)).
% 3.69/3.81 0 [] empty(A)| -empty($f27(A)).
% 3.69/3.81 0 [] empty(A)|finite($f27(A)).
% 3.69/3.81 0 [] relation($c14).
% 3.69/3.81 0 [] relation_empty_yielding($c14).
% 3.69/3.81 0 [] one_sorted_str($c15).
% 3.69/3.81 0 [] -empty_carrier($c15).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f28(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f28(A)).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f28(A),A).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f28(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)|element($f29(A),powerset(powerset(the_carrier(A)))).
% 3.69/3.81 0 [] -one_sorted_str(A)| -empty($f29(A)).
% 3.69/3.81 0 [] -one_sorted_str(A)|finite($f29(A)).
% 3.69/3.81 0 [] empty(A)|element($f30(A),powerset(A)).
% 3.69/3.81 0 [] empty(A)| -empty($f30(A)).
% 3.69/3.81 0 [] empty(A)|finite($f30(A)).
% 3.69/3.81 0 [] -top_str(A)|element($f31(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] -top_str(A)|empty($f31(A)).
% 3.69/3.81 0 [] -top_str(A)|v1_membered($f31(A)).
% 3.69/3.81 0 [] -top_str(A)|v2_membered($f31(A)).
% 3.69/3.81 0 [] -top_str(A)|v3_membered($f31(A)).
% 3.69/3.81 0 [] -top_str(A)|v4_membered($f31(A)).
% 3.69/3.81 0 [] -top_str(A)|v5_membered($f31(A)).
% 3.69/3.81 0 [] -top_str(A)|boundary_set($f31(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)|net_str($f32(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)|strict_net_str($f32(A),A).
% 3.69/3.81 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f33(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f33(A)).
% 3.69/3.81 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f33(A),powerset(the_carrier(A))).
% 3.69/3.81 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($f33(A),A).
% 3.69/3.81 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|upper_relstr_subset($f33(A),A).
% 3.69/3.81 0 [] rel_str($c16).
% 3.69/3.81 0 [] -empty_carrier($c16).
% 3.69/3.81 0 [] strict_rel_str($c16).
% 3.69/3.81 0 [] transitive_relstr($c16).
% 3.69/3.81 0 [] directed_relstr($c16).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f34(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f34(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|element($f35(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|empty($f35(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|open_subset($f35(A),A).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|closed_subset($f35(A),A).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|v1_membered($f35(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|v2_membered($f35(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|v3_membered($f35(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|v4_membered($f35(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|v5_membered($f35(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|boundary_set($f35(A),A).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|nowhere_dense($f35(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)|net_str($f36(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)| -empty_carrier($f36(A)).
% 3.69/3.81 0 [] -one_sorted_str(A)|reflexive_relstr($f36(A)).
% 3.69/3.81 0 [] -one_sorted_str(A)|transitive_relstr($f36(A)).
% 3.69/3.81 0 [] -one_sorted_str(A)|antisymmetric_relstr($f36(A)).
% 3.69/3.81 0 [] -one_sorted_str(A)|strict_net_str($f36(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)|directed_relstr($f36(A)).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|element($f37(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)|closed_subset($f37(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f38(A,B),A,B).
% 3.69/3.81 0 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str($f38(A,B),A).
% 3.69/3.81 0 [] -one_sorted_str(A)| -net_str(B,A)|full_subnetstr($f38(A,B),A,B).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f39(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f39(A)).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f39(A),A).
% 3.69/3.81 0 [] -rel_str(A)|element($f40(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] -rel_str(A)|lower_relstr_subset($f40(A),A).
% 3.69/3.81 0 [] -rel_str(A)|upper_relstr_subset($f40(A),A).
% 3.69/3.81 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|subnetstr($f41(A,B),A,B).
% 3.69/3.81 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty_carrier($f41(A,B)).
% 3.69/3.81 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|strict_net_str($f41(A,B),A).
% 3.69/3.81 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|full_subnetstr($f41(A,B),A,B).
% 3.69/3.81 0 [] empty_carrier(A)| -rel_str(A)|element($f42(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] empty_carrier(A)| -rel_str(A)| -empty($f42(A)).
% 3.69/3.81 0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f42(A),A).
% 3.69/3.81 0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f42(A),A).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f43(A),powerset(the_carrier(A))).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f43(A)).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f43(A),A).
% 3.69/3.81 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f43(A),A).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|apply_on_structs(A,B,C,D)=apply(C,D).
% 3.69/3.81 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 3.69/3.81 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 3.69/3.81 0 [] subset(A,A).
% 3.69/3.81 0 [] -disjoint(A,B)|disjoint(B,A).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty(B)| -filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(C,the_carrier(A))| -in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))|is_a_convergence_point_of_set(A,B,C).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty(B)| -filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(C,the_carrier(A))|in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))| -is_a_convergence_point_of_set(A,B,C).
% 3.69/3.81 0 [] -in(A,B)|element(A,B).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))| -in(B,topstr_closure(A,C))|empty(D)| -filtered_subset(D,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(D,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(D,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(D,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))|D!=neighborhood_system(A,B)|is_often_in(A,net_of_bool_filter(A,cast_as_carrier_subset(A),D),C).
% 3.69/3.81 0 [] -empty_carrier($c20).
% 3.69/3.81 0 [] topological_space($c20).
% 3.69/3.81 0 [] top_str($c20).
% 3.69/3.81 0 [] element($c19,powerset(the_carrier($c20))).
% 3.69/3.81 0 [] element($c18,the_carrier($c20)).
% 3.69/3.81 0 [] in($c18,topstr_closure($c20,$c19))| -empty_carrier($c17).
% 3.69/3.81 0 [] in($c18,topstr_closure($c20,$c19))|transitive_relstr($c17).
% 3.69/3.81 0 [] in($c18,topstr_closure($c20,$c19))|directed_relstr($c17).
% 3.69/3.81 0 [] in($c18,topstr_closure($c20,$c19))|net_str($c17,$c20).
% 3.69/3.81 0 [] in($c18,topstr_closure($c20,$c19))|is_eventually_in($c20,$c17,$c19).
% 3.69/3.81 0 [] in($c18,topstr_closure($c20,$c19))|is_a_cluster_point_of_netstr($c20,$c17,$c18).
% 3.69/3.81 0 [] -in($c18,topstr_closure($c20,$c19))|empty_carrier(D)| -transitive_relstr(D)| -directed_relstr(D)| -net_str(D,$c20)| -is_eventually_in($c20,D,$c19)| -is_a_cluster_point_of_netstr($c20,D,$c18).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(A))| -in(C,lim_points_of_net(A,B))|is_a_cluster_point_of_netstr(A,B,C).
% 3.69/3.81 0 [] -element(A,B)|empty(B)|in(A,B).
% 3.69/3.81 0 [] in($f44(A,B),A)|in($f44(A,B),B)|A=B.
% 3.69/3.81 0 [] -in($f44(A,B),A)| -in($f44(A,B),B)|A=B.
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -is_often_in(A,B,C)|subnet(preimage_subnetstr(A,B,C),A,B).
% 3.69/3.81 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(D,A,B)|D!=preimage_subnetstr(A,B,C)|is_eventually_in(A,D,C).
% 3.69/3.81 0 [] -element(A,powerset(B))|subset(A,B).
% 3.69/3.81 0 [] element(A,powerset(B))| -subset(A,B).
% 3.69/3.81 0 [] disjoint(A,B)|in($f45(A,B),A).
% 3.69/3.81 0 [] disjoint(A,B)|in($f45(A,B),B).
% 3.69/3.81 0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|subset(lim_points_of_net(A,B),lim_points_of_net(A,C)).
% 3.69/3.81 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -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).
% 3.69/3.81 0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -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).
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)| -top_str(B)| -element(C,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(B)))| -open_subset(D,B)|interior(B,D)=D.
% 3.69/3.81 0 [] -topological_space(A)| -top_str(A)| -top_str(B)| -element(C,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(B)))|interior(A,C)!=C|open_subset(C,A).
% 3.69/3.81 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.69/3.81 0 [] -empty(A)|A=empty_set.
% 3.69/3.81 0 [] -in(A,B)| -empty(B).
% 3.69/3.81 0 [] -empty(A)|A=B| -empty(B).
% 3.69/3.81 end_of_list.
% 3.69/3.81
% 3.69/3.81 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=13.
% 3.69/3.81
% 3.69/3.81 This ia a non-Horn set with equality. The strategy will be
% 3.69/3.81 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.69/3.81 deletion, with positive clauses in sos and nonpositive
% 3.69/3.81 clauses in usable.
% 3.69/3.81
% 3.69/3.81 dependent: set(knuth_bendix).
% 3.69/3.81 dependent: set(anl_eq).
% 3.69/3.81 dependent: set(para_from).
% 3.69/3.81 dependent: set(para_into).
% 3.69/3.81 dependent: clear(para_from_right).
% 3.69/3.81 dependent: clear(para_into_right).
% 3.69/3.81 dependent: set(para_from_vars).
% 3.69/3.81 dependent: set(eq_units_both_ways).
% 3.69/3.81 dependent: set(dynamic_demod_all).
% 3.69/3.81 dependent: set(dynamic_demod).
% 3.69/3.81 dependent: set(order_eq).
% 3.69/3.81 dependent: set(back_demod).
% 3.69/3.81 dependent: set(lrpo).
% 3.69/3.81 dependent: set(hyper_res).
% 3.69/3.81 dependent: set(unit_deletion).
% 3.69/3.81 dependent: set(factor).
% 3.69/3.81
% 3.69/3.81 ------------> process usable:
% 3.69/3.81 ** 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.
% 3.69/3.81 ** KEPT (pick-wt=19): 4 [copy,3,flip.4] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B))=B.
% 3.69/3.81 ** KEPT (pick-wt=6): 5 [] -in(A,B)| -in(B,A).
% 3.69/3.81 ** KEPT (pick-wt=10): 6 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=10): 7 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=10): 8 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=18): 9 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|with_infima_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=18): 10 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|complete_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=18): 11 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=18): 12 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=12): 13 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=14): 14 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=4): 15 [] -empty(A)|finite(A).
% 3.69/3.81 ** KEPT (pick-wt=6): 16 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 3.69/3.81 ** KEPT (pick-wt=4): 17 [] -empty(A)|relation(A).
% 3.69/3.81 ** KEPT (pick-wt=8): 18 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 3.69/3.81 ** KEPT (pick-wt=14): 19 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.69/3.81 ** KEPT (pick-wt=14): 20 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.69/3.81 ** KEPT (pick-wt=8): 21 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=8): 22 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=8): 23 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.69/3.81 ** KEPT (pick-wt=6): 24 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 3.69/3.81 ** KEPT (pick-wt=12): 25 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.69/3.81 ** KEPT (pick-wt=10): 26 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=10): 27 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=10): 28 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=14): 29 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.69/3.81 ** KEPT (pick-wt=8): 30 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=15): 31 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.69/3.81 ** KEPT (pick-wt=6): 32 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=6): 33 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=18): 34 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)| -boundary_set(B,A)|nowhere_dense(B,A).
% 3.69/3.81 ** KEPT (pick-wt=10): 35 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=8): 36 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=17): 37 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.69/3.81 ** KEPT (pick-wt=18): 38 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|closed_subset(B,A).
% 3.69/3.81 ** KEPT (pick-wt=17): 39 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 3.69/3.81 ** KEPT (pick-wt=17): 40 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.69/3.81 ** KEPT (pick-wt=17): 41 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 3.69/3.81 ** KEPT (pick-wt=17): 42 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 3.69/3.81 ** KEPT (pick-wt=17): 43 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 3.69/3.81 Following clause subsumed by 31 during input processing: 0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.69/3.81 Following clause subsumed by 16 during input processing: 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 3.69/3.81 ** KEPT (pick-wt=10): 44 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 3.69/3.81 ** KEPT (pick-wt=20): 45 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)|element($f1(A,B,C),the_carrier(B)).
% 3.69/3.81 ** KEPT (pick-wt=30): 46 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)| -element(D,the_carrier(B))| -related(B,$f1(A,B,C),D)|in(apply_netmap(A,B,D),C).
% 3.69/3.81 ** KEPT (pick-wt=25): 47 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|element($f2(A,B,C,D),the_carrier(B)).
% 3.69/3.81 ** KEPT (pick-wt=25): 48 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f2(A,B,C,D)).
% 3.69/3.81 ** KEPT (pick-wt=27): 49 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))| -in(apply_netmap(A,B,$f2(A,B,C,D)),C).
% 3.69/3.81 ** KEPT (pick-wt=25): 50 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|element($f3(A,B,C,D),the_carrier(B)).
% 3.69/3.81 ** KEPT (pick-wt=25): 51 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f3(A,B,C,D)).
% 3.69/3.81 ** KEPT (pick-wt=27): 52 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|in(apply_netmap(A,B,$f3(A,B,C,D)),C).
% 3.69/3.81 ** KEPT (pick-wt=20): 53 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)|element($f4(A,B,C),the_carrier(B)).
% 3.69/3.81 ** KEPT (pick-wt=30): 54 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)| -element(D,the_carrier(B))| -related(B,$f4(A,B,C),D)| -in(apply_netmap(A,B,D),C).
% 3.69/3.81 ** KEPT (pick-wt=38): 55 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))| -in(D,C)| -element(E,powerset(the_carrier(A)))| -open_subset(E,A)| -in(D,E)| -disjoint(B,E).
% 3.69/3.81 ** KEPT (pick-wt=33): 56 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|element($f5(A,B,C,D),powerset(the_carrier(A))).
% 3.69/3.81 ** KEPT (pick-wt=31): 57 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|open_subset($f5(A,B,C,D),A).
% 3.69/3.81 ** KEPT (pick-wt=31): 58 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|in(D,$f5(A,B,C,D)).
% 3.69/3.81 ** KEPT (pick-wt=31): 59 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|disjoint(B,$f5(A,B,C,D)).
% 3.69/3.81 ** KEPT (pick-wt=24): 60 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f7(A,B,C),the_carrier(A)).
% 3.69/3.81 ** KEPT (pick-wt=40): 61 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f7(A,B,C),C)| -element(D,powerset(the_carrier(A)))| -open_subset(D,A)| -in($f7(A,B,C),D)| -disjoint(B,D).
% 3.69/3.81 ** KEPT (pick-wt=31): 62 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|element($f6(A,B,C),powerset(the_carrier(A))).
% 3.69/3.81 ** KEPT (pick-wt=29): 63 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|open_subset($f6(A,B,C),A).
% 3.69/3.81 ** KEPT (pick-wt=32): 64 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|in($f7(A,B,C),$f6(A,B,C)).
% 3.69/3.81 ** KEPT (pick-wt=29): 65 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f7(A,B,C),C)|disjoint(B,$f6(A,B,C)).
% 3.69/3.81 ** KEPT (pick-wt=24): 66 [] 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)).
% 3.69/3.81 ** KEPT (pick-wt=24): 67 [] 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)).
% 3.69/3.82 ** KEPT (pick-wt=17): 68 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|neighborhood_system(A,B)=a_2_0_yellow19(A,B).
% 3.69/3.82 ** KEPT (pick-wt=25): 69 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 3.69/3.82 ** KEPT (pick-wt=27): 70 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))| -is_a_cluster_point_of_netstr(A,B,C)| -point_neighbourhood(D,A,C)|is_often_in(A,B,D).
% 3.69/3.82 ** KEPT (pick-wt=26): 71 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))|is_a_cluster_point_of_netstr(A,B,C)|point_neighbourhood($f8(A,B,C),A,C).
% 3.69/3.82 ** KEPT (pick-wt=26): 72 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))|is_a_cluster_point_of_netstr(A,B,C)| -is_often_in(A,B,$f8(A,B,C)).
% 3.69/3.82 ** KEPT (pick-wt=8): 73 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 3.69/3.82 ** KEPT (pick-wt=8): 74 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 3.69/3.82 ** KEPT (pick-wt=25): 75 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|strict_net_str(net_str_of(A,C,B,D),A).
% 3.69/3.82 ** KEPT (pick-wt=25): 76 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str(net_str_of(A,C,B,D),A).
% 3.69/3.82 ** KEPT (pick-wt=22): 77 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element(lim_points_of_net(A,B),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=14): 78 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=34): 79 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|element(apply_on_structs(A,B,C,D),the_carrier(B)).
% 3.69/3.82 ** KEPT (pick-wt=19): 80 [] 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))))).
% 3.69/3.82 ** KEPT (pick-wt=8): 81 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=20): 82 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|element(apply_netmap(A,B,C),the_carrier(A)).
% 3.69/3.82 ** KEPT (pick-wt=32): 83 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.69/3.82 ** KEPT (pick-wt=33): 84 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.82 ** KEPT (pick-wt=33): 85 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.82 ** KEPT (pick-wt=14): 86 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=11): 87 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 3.69/3.82 ** KEPT (pick-wt=12): 88 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr(preimage_subnetstr(A,B,C),A,B).
% 3.69/3.82 ** KEPT (pick-wt=4): 89 [] -rel_str(A)|one_sorted_str(A).
% 3.69/3.82 ** KEPT (pick-wt=4): 90 [] -top_str(A)|one_sorted_str(A).
% 3.69/3.82 ** KEPT (pick-wt=7): 91 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 3.69/3.82 ** KEPT (pick-wt=19): 92 [] 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))).
% 3.69/3.82 ** KEPT (pick-wt=12): 93 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)|net_str(C,A).
% 3.69/3.82 ** KEPT (pick-wt=10): 94 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 3.69/3.82 ** KEPT (pick-wt=19): 95 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)| -empty_carrier(C).
% 3.69/3.82 ** KEPT (pick-wt=19): 96 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|transitive_relstr(C).
% 3.69/3.82 ** KEPT (pick-wt=19): 97 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|directed_relstr(C).
% 3.69/3.82 ** KEPT (pick-wt=20): 98 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|net_str(C,A).
% 3.69/3.82 ** KEPT (pick-wt=9): 99 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.69/3.82 ** KEPT (pick-wt=9): 100 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=13): 101 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.69/3.82 ** KEPT (pick-wt=13): 102 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.69/3.82 ** KEPT (pick-wt=6): 103 [] -one_sorted_str(A)|net_str($f9(A),A).
% 3.69/3.82 ** KEPT (pick-wt=16): 104 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|point_neighbourhood($f10(A,B),A,B).
% 3.69/3.82 ** KEPT (pick-wt=11): 105 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f13(A,B),A,B).
% 3.69/3.82 ** KEPT (pick-wt=19): 106 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f15(A,B),A,B).
% 3.69/3.82 ** KEPT (pick-wt=14): 107 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|empty(interior(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=14): 108 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v1_membered(interior(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=14): 109 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v2_membered(interior(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=14): 110 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v3_membered(interior(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=14): 111 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v4_membered(interior(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=14): 112 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v5_membered(interior(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=15): 113 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|boundary_set(interior(A,B),A).
% 3.69/3.82 ** KEPT (pick-wt=8): 114 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=7): 115 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.82 ** KEPT (pick-wt=8): 116 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 ** KEPT (pick-wt=8): 117 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 ** KEPT (pick-wt=13): 118 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=13): 119 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 3.69/3.82 Following clause subsumed by 100 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.69/3.82 Following clause subsumed by 101 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.69/3.82 ** KEPT (pick-wt=12): 120 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|transitive_relstr(preimage_subnetstr(A,B,C)).
% 3.69/3.82 Following clause subsumed by 87 during input processing: 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 3.69/3.82 ** KEPT (pick-wt=14): 121 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|full_subnetstr(preimage_subnetstr(A,B,C),A,B).
% 3.69/3.82 ** KEPT (pick-wt=7): 122 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.69/3.82 ** KEPT (pick-wt=3): 123 [] -empty(powerset(A)).
% 3.69/3.82 ** KEPT (pick-wt=3): 124 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.82 ** KEPT (pick-wt=3): 125 [] -v1_yellow_3(boole_POSet(A)).
% 3.69/3.82 ** KEPT (pick-wt=14): 126 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -empty(neighborhood_system(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=17): 127 [] 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))).
% 3.69/3.82 ** KEPT (pick-wt=17): 128 [] 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))).
% 3.69/3.82 ** KEPT (pick-wt=19): 129 [] 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))))).
% 3.69/3.82 ** KEPT (pick-wt=7): 130 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.82 ** KEPT (pick-wt=14): 131 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 3.69/3.82 ** KEPT (pick-wt=7): 132 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.82 ** KEPT (pick-wt=8): 133 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 Following clause subsumed by 124 during input processing: 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 3.69/3.82 ** KEPT (pick-wt=5): 134 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 3.69/3.82 Following clause subsumed by 125 during input processing: 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 3.69/3.82 Following clause subsumed by 115 during input processing: 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.82 Following clause subsumed by 115 during input processing: 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.82 ** KEPT (pick-wt=10): 135 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 ** KEPT (pick-wt=8): 136 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=7): 137 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.82 ** KEPT (pick-wt=8): 138 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 Following clause subsumed by 83 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.69/3.82 ** KEPT (pick-wt=32): 139 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.82 ** KEPT (pick-wt=32): 140 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.82 Following clause subsumed by 84 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.82 ** KEPT (pick-wt=8): 141 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 Following clause subsumed by 115 during input processing: 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 3.69/3.82 ** KEPT (pick-wt=10): 142 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 Following clause subsumed by 83 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))| -empty_carrier(net_of_bool_filter(A,B,C)).
% 3.69/3.82 Following clause subsumed by 139 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|reflexive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.82 Following clause subsumed by 140 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|transitive_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.82 Following clause subsumed by 84 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|strict_net_str(net_of_bool_filter(A,B,C),A).
% 3.69/3.82 ** KEPT (pick-wt=38): 143 [] empty_carrier(A)| -one_sorted_str(A)|empty(B)| -element(B,powerset(the_carrier(A)))|empty(C)| -filtered_subset(C,boole_POSet(B))| -upper_relstr_subset(C,boole_POSet(B))| -proper_element(C,powerset(the_carrier(boole_POSet(B))))| -element(C,powerset(the_carrier(boole_POSet(B))))|directed_relstr(net_of_bool_filter(A,B,C)).
% 3.69/3.82 ** KEPT (pick-wt=14): 144 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 3.69/3.82 ** KEPT (pick-wt=26): 145 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 3.69/3.82 Following clause subsumed by 75 during input processing: 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 3.69/3.82 Following clause subsumed by 124 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.82 ** KEPT (pick-wt=8): 146 [] -topological_space(A)| -top_str(A)|open_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 Following clause subsumed by 141 during input processing: 0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 3.69/3.82 Following clause subsumed by 124 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.82 Following clause subsumed by 124 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 3.69/3.82 Following clause subsumed by 125 during input processing: 0 [] -v1_yellow_3(boole_POSet(A)).
% 3.69/3.82 ** KEPT (pick-wt=6): 147 [] -top_str(A)|dense(cast_as_carrier_subset(A),A).
% 3.69/3.82 ** KEPT (pick-wt=22): 148 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -in(C,a_2_0_yellow19(A,B))|point_neighbourhood($f16(C,A,B),A,B).
% 3.69/3.82 ** KEPT (pick-wt=21): 150 [copy,149,flip.6] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -in(C,a_2_0_yellow19(A,B))|$f16(C,A,B)=C.
% 3.69/3.82 ** KEPT (pick-wt=22): 151 [] 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.
% 3.69/3.82 ** KEPT (pick-wt=14): 152 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 3.69/3.82 ** KEPT (pick-wt=14): 153 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 3.69/3.82 ** KEPT (pick-wt=32): 154 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|A=E.
% 3.69/3.82 ** KEPT (pick-wt=32): 155 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|C=F.
% 3.69/3.82 ** KEPT (pick-wt=32): 156 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|B=G.
% 3.69/3.82 ** KEPT (pick-wt=32): 157 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|D=H.
% 3.69/3.82 ** KEPT (pick-wt=14): 158 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f17(A),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=11): 159 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f17(A)).
% 3.69/3.82 ** KEPT (pick-wt=12): 160 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f17(A),A).
% 3.69/3.82 ** KEPT (pick-wt=12): 161 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f17(A),A).
% 3.69/3.82 ** KEPT (pick-wt=18): 162 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f18(A),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=15): 163 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f18(A)).
% 3.69/3.82 ** KEPT (pick-wt=16): 164 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f18(A),A).
% 3.69/3.82 ** KEPT (pick-wt=16): 165 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f18(A),A).
% 3.69/3.82 ** KEPT (pick-wt=16): 166 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f18(A),A).
% 3.69/3.82 ** KEPT (pick-wt=16): 167 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f18(A),A).
% 3.69/3.82 ** KEPT (pick-wt=2): 168 [] -empty_carrier($c4).
% 3.69/3.82 ** KEPT (pick-wt=2): 169 [] -empty_carrier($c5).
% 3.69/3.82 ** KEPT (pick-wt=2): 170 [] -empty($c6).
% 3.69/3.82 ** KEPT (pick-wt=2): 171 [] -empty_carrier($c7).
% 3.69/3.82 ** KEPT (pick-wt=5): 172 [] empty(A)| -empty($f19(A)).
% 3.69/3.82 ** KEPT (pick-wt=10): 173 [] -topological_space(A)| -top_str(A)|element($f20(A),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=8): 174 [] -topological_space(A)| -top_str(A)|open_subset($f20(A),A).
% 3.69/3.82 ** KEPT (pick-wt=8): 175 [] -rel_str(A)|element($f21(A),powerset(the_carrier(A))).
% 3.69/3.82 ** KEPT (pick-wt=6): 176 [] -rel_str(A)|directed_subset($f21(A),A).
% 3.69/3.82 ** KEPT (pick-wt=6): 177 [] -rel_str(A)|filtered_subset($f21(A),A).
% 3.69/3.82 ** KEPT (pick-wt=2): 178 [] -empty_carrier($c9).
% 3.69/3.82 ** KEPT (pick-wt=2): 179 [] -trivial_carrier($c9).
% 3.69/3.82 ** KEPT (pick-wt=2): 180 [] -v1_yellow_3($c9).
% 3.69/3.82 ** KEPT (pick-wt=19): 181 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f22(A,B),A,B).
% 3.69/3.82 ** KEPT (pick-wt=17): 182 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f22(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=17): 183 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f22(A,B)).
% 3.69/3.82 ** KEPT (pick-wt=18): 184 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f22(A,B),A).
% 3.69/3.82 ** KEPT (pick-wt=17): 185 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f22(A,B)).
% 3.69/3.83 ** KEPT (pick-wt=2): 186 [] -empty_carrier($c10).
% 3.69/3.83 ** KEPT (pick-wt=2): 187 [] -empty_carrier($c11).
% 3.69/3.83 ** KEPT (pick-wt=2): 188 [] -empty($c12).
% 3.69/3.83 ** KEPT (pick-wt=10): 189 [] -topological_space(A)| -top_str(A)|element($f24(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=8): 190 [] -topological_space(A)| -top_str(A)|open_subset($f24(A),A).
% 3.69/3.83 ** KEPT (pick-wt=8): 191 [] -topological_space(A)| -top_str(A)|closed_subset($f24(A),A).
% 3.69/3.83 ** KEPT (pick-wt=12): 192 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f25(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=9): 193 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f25(A)).
% 3.69/3.83 ** KEPT (pick-wt=9): 194 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f25(A)).
% 3.69/3.83 ** KEPT (pick-wt=10): 195 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f25(A),A).
% 3.69/3.83 ** KEPT (pick-wt=10): 196 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f25(A),A).
% 3.69/3.83 ** KEPT (pick-wt=3): 197 [] -empty($f26(A)).
% 3.69/3.83 ** KEPT (pick-wt=2): 198 [] -empty_carrier($c13).
% 3.69/3.83 ** KEPT (pick-wt=5): 199 [] empty(A)| -empty($f27(A)).
% 3.69/3.83 ** KEPT (pick-wt=2): 200 [] -empty_carrier($c15).
% 3.69/3.83 ** KEPT (pick-wt=12): 201 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f28(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=9): 202 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f28(A)).
% 3.69/3.83 ** KEPT (pick-wt=10): 203 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f28(A),A).
% 3.69/3.83 ** KEPT (pick-wt=10): 204 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f28(A),A).
% 3.69/3.83 ** KEPT (pick-wt=9): 205 [] -one_sorted_str(A)|element($f29(A),powerset(powerset(the_carrier(A)))).
% 3.69/3.83 ** KEPT (pick-wt=5): 206 [] -one_sorted_str(A)| -empty($f29(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 207 [] -one_sorted_str(A)|finite($f29(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 208 [] empty(A)| -empty($f30(A)).
% 3.69/3.83 ** KEPT (pick-wt=8): 209 [] -top_str(A)|element($f31(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=5): 210 [] -top_str(A)|empty($f31(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 211 [] -top_str(A)|v1_membered($f31(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 212 [] -top_str(A)|v2_membered($f31(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 213 [] -top_str(A)|v3_membered($f31(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 214 [] -top_str(A)|v4_membered($f31(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 215 [] -top_str(A)|v5_membered($f31(A)).
% 3.69/3.83 ** KEPT (pick-wt=6): 216 [] -top_str(A)|boundary_set($f31(A),A).
% 3.69/3.83 ** KEPT (pick-wt=6): 217 [] -one_sorted_str(A)|net_str($f32(A),A).
% 3.69/3.83 ** KEPT (pick-wt=6): 218 [] -one_sorted_str(A)|strict_net_str($f32(A),A).
% 3.69/3.83 ** KEPT (pick-wt=20): 219 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f33(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=17): 220 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f33(A)).
% 3.69/3.83 ** KEPT (pick-wt=20): 221 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f33(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=18): 222 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|filtered_subset($f33(A),A).
% 3.69/3.83 ** KEPT (pick-wt=18): 223 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|upper_relstr_subset($f33(A),A).
% 3.69/3.83 ** KEPT (pick-wt=2): 224 [] -empty_carrier($c16).
% 3.69/3.83 ** KEPT (pick-wt=10): 225 [] empty_carrier(A)| -one_sorted_str(A)|element($f34(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=7): 226 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f34(A)).
% 3.69/3.83 ** KEPT (pick-wt=10): 227 [] -topological_space(A)| -top_str(A)|element($f35(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=7): 228 [] -topological_space(A)| -top_str(A)|empty($f35(A)).
% 3.69/3.83 ** KEPT (pick-wt=8): 229 [] -topological_space(A)| -top_str(A)|open_subset($f35(A),A).
% 3.69/3.83 ** KEPT (pick-wt=8): 230 [] -topological_space(A)| -top_str(A)|closed_subset($f35(A),A).
% 3.69/3.83 ** KEPT (pick-wt=7): 231 [] -topological_space(A)| -top_str(A)|v1_membered($f35(A)).
% 3.69/3.83 ** KEPT (pick-wt=7): 232 [] -topological_space(A)| -top_str(A)|v2_membered($f35(A)).
% 3.69/3.83 ** KEPT (pick-wt=7): 233 [] -topological_space(A)| -top_str(A)|v3_membered($f35(A)).
% 3.69/3.83 ** KEPT (pick-wt=7): 234 [] -topological_space(A)| -top_str(A)|v4_membered($f35(A)).
% 3.69/3.83 ** KEPT (pick-wt=7): 235 [] -topological_space(A)| -top_str(A)|v5_membered($f35(A)).
% 3.69/3.83 ** KEPT (pick-wt=8): 236 [] -topological_space(A)| -top_str(A)|boundary_set($f35(A),A).
% 3.69/3.83 ** KEPT (pick-wt=8): 237 [] -topological_space(A)| -top_str(A)|nowhere_dense($f35(A),A).
% 3.69/3.83 ** KEPT (pick-wt=6): 238 [] -one_sorted_str(A)|net_str($f36(A),A).
% 3.69/3.83 ** KEPT (pick-wt=5): 239 [] -one_sorted_str(A)| -empty_carrier($f36(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 240 [] -one_sorted_str(A)|reflexive_relstr($f36(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 241 [] -one_sorted_str(A)|transitive_relstr($f36(A)).
% 3.69/3.83 ** KEPT (pick-wt=5): 242 [] -one_sorted_str(A)|antisymmetric_relstr($f36(A)).
% 3.69/3.83 ** KEPT (pick-wt=6): 243 [] -one_sorted_str(A)|strict_net_str($f36(A),A).
% 3.69/3.83 ** KEPT (pick-wt=5): 244 [] -one_sorted_str(A)|directed_relstr($f36(A)).
% 3.69/3.83 ** KEPT (pick-wt=10): 245 [] -topological_space(A)| -top_str(A)|element($f37(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=8): 246 [] -topological_space(A)| -top_str(A)|closed_subset($f37(A),A).
% 3.69/3.83 ** KEPT (pick-wt=11): 247 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f38(A,B),A,B).
% 3.69/3.83 ** KEPT (pick-wt=10): 248 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str($f38(A,B),A).
% 3.69/3.83 ** KEPT (pick-wt=11): 249 [] -one_sorted_str(A)| -net_str(B,A)|full_subnetstr($f38(A,B),A,B).
% 3.69/3.83 ** KEPT (pick-wt=12): 250 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f39(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=9): 251 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f39(A)).
% 3.69/3.83 ** KEPT (pick-wt=10): 252 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f39(A),A).
% 3.69/3.83 ** KEPT (pick-wt=8): 253 [] -rel_str(A)|element($f40(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=6): 254 [] -rel_str(A)|lower_relstr_subset($f40(A),A).
% 3.69/3.83 ** KEPT (pick-wt=6): 255 [] -rel_str(A)|upper_relstr_subset($f40(A),A).
% 3.69/3.83 ** KEPT (pick-wt=13): 256 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|subnetstr($f41(A,B),A,B).
% 3.69/3.83 ** KEPT (pick-wt=11): 257 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty_carrier($f41(A,B)).
% 3.69/3.83 ** KEPT (pick-wt=12): 258 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|strict_net_str($f41(A,B),A).
% 3.69/3.83 ** KEPT (pick-wt=13): 259 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|full_subnetstr($f41(A,B),A,B).
% 3.69/3.83 ** KEPT (pick-wt=10): 260 [] empty_carrier(A)| -rel_str(A)|element($f42(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=7): 261 [] empty_carrier(A)| -rel_str(A)| -empty($f42(A)).
% 3.69/3.83 ** KEPT (pick-wt=8): 262 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f42(A),A).
% 3.69/3.83 ** KEPT (pick-wt=8): 263 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f42(A),A).
% 3.69/3.83 ** KEPT (pick-wt=14): 264 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f43(A),powerset(the_carrier(A))).
% 3.69/3.83 ** KEPT (pick-wt=11): 265 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f43(A)).
% 3.69/3.83 ** KEPT (pick-wt=12): 266 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f43(A),A).
% 3.69/3.83 ** KEPT (pick-wt=12): 267 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f43(A),A).
% 3.69/3.83 ** KEPT (pick-wt=35): 268 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|apply_on_structs(A,B,C,D)=apply(C,D).
% 3.69/3.83 ** KEPT (pick-wt=8): 269 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 3.69/3.83 ** KEPT (pick-wt=8): 270 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 3.69/3.85 ** KEPT (pick-wt=6): 271 [] -disjoint(A,B)|disjoint(B,A).
% 3.69/3.85 ** KEPT (pick-wt=49): 272 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty(B)| -filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(C,the_carrier(A))| -in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))|is_a_convergence_point_of_set(A,B,C).
% 3.69/3.85 ** KEPT (pick-wt=49): 273 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty(B)| -filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(C,the_carrier(A))|in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))| -is_a_convergence_point_of_set(A,B,C).
% 3.69/3.85 ** KEPT (pick-wt=6): 274 [] -in(A,B)|element(A,B).
% 3.69/3.85 ** KEPT (pick-wt=59): 275 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -element(C,powerset(the_carrier(A)))| -in(B,topstr_closure(A,C))|empty(D)| -filtered_subset(D,boole_POSet(cast_as_carrier_subset(A)))| -upper_relstr_subset(D,boole_POSet(cast_as_carrier_subset(A)))| -proper_element(D,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))| -element(D,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))|D!=neighborhood_system(A,B)|is_often_in(A,net_of_bool_filter(A,cast_as_carrier_subset(A),D),C).
% 3.69/3.85 ** KEPT (pick-wt=2): 276 [] -empty_carrier($c20).
% 3.69/3.85 ** KEPT (pick-wt=7): 277 [] in($c18,topstr_closure($c20,$c19))| -empty_carrier($c17).
% 3.69/3.85 ** KEPT (pick-wt=22): 278 [] -in($c18,topstr_closure($c20,$c19))|empty_carrier(A)| -transitive_relstr(A)| -directed_relstr(A)| -net_str(A,$c20)| -is_eventually_in($c20,A,$c19)| -is_a_cluster_point_of_netstr($c20,A,$c18).
% 3.69/3.85 ** KEPT (pick-wt=28): 279 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(A))| -in(C,lim_points_of_net(A,B))|is_a_cluster_point_of_netstr(A,B,C).
% 3.69/3.85 ** KEPT (pick-wt=8): 280 [] -element(A,B)|empty(B)|in(A,B).
% 3.69/3.85 ** KEPT (pick-wt=13): 281 [] -in($f44(A,B),A)| -in($f44(A,B),B)|A=B.
% 3.69/3.85 ** KEPT (pick-wt=24): 282 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -is_often_in(A,B,C)|subnet(preimage_subnetstr(A,B,C),A,B).
% 3.69/3.85 ** KEPT (pick-wt=27): 283 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|C!=preimage_subnetstr(A,B,D)|is_eventually_in(A,C,D).
% 3.69/3.85 ** KEPT (pick-wt=7): 284 [] -element(A,powerset(B))|subset(A,B).
% 3.69/3.85 ** KEPT (pick-wt=7): 285 [] element(A,powerset(B))| -subset(A,B).
% 3.69/3.85 ** KEPT (pick-wt=9): 286 [] -in(A,B)| -in(A,C)| -disjoint(B,C).
% 3.69/3.85 ** KEPT (pick-wt=26): 287 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|subset(lim_points_of_net(A,B),lim_points_of_net(A,C)).
% 3.69/3.85 ** KEPT (pick-wt=10): 288 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.69/3.85 ** KEPT (pick-wt=31): 289 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -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).
% 3.69/3.85 ** KEPT (pick-wt=31): 290 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))| -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).
% 3.69/3.85 ** KEPT (pick-wt=24): 291 [] -topological_space(A)| -top_str(A)| -top_str(B)| -element(C,powerset(the_carrier(A)))| -element(D,powerset(the_carrier(B)))| -open_subset(D,B)|interior(B,D)=D.
% 3.69/3.85 ** KEPT (pick-wt=17): 293 [copy,292,factor_simp,factor_simp] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|interior(A,B)!=B|open_subset(B,A).
% 3.69/3.85 ** KEPT (pick-wt=9): 294 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.69/3.85 ** KEPT (pick-wt=5): 295 [] -empty(A)|A=empty_set.
% 3.69/3.85 ** KEPT (pick-wt=5): 296 [] -in(A,B)| -empty(B).
% 3.69/3.85 ** KEPT (pick-wt=7): 297 [] -empty(A)|A=B| -empty(B).
% 3.69/3.85 44 back subsumes 11.
% 3.69/3.85
% 3.69/3.85 ------------> process sos:
% 3.69/3.85 ** KEPT (pick-wt=3): 372 [] A=A.
% 3.69/3.85 ** KEPT (pick-wt=3): 373 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 374 [] rel_str(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=2): 375 [] rel_str($c1).
% 3.69/3.85 ** KEPT (pick-wt=2): 376 [] top_str($c2).
% 3.69/3.85 ** KEPT (pick-wt=2): 377 [] one_sorted_str($c3).
% 3.69/3.85 ** KEPT (pick-wt=6): 378 [] relation_of2($f11(A,B),A,B).
% 3.69/3.85 ** KEPT (pick-wt=4): 379 [] element($f12(A),A).
% 3.69/3.85 ** KEPT (pick-wt=6): 380 [] relation_of2_as_subset($f14(A,B),A,B).
% 3.69/3.85 ** KEPT (pick-wt=2): 381 [] empty(empty_set).
% 3.69/3.85 ** KEPT (pick-wt=2): 382 [] relation(empty_set).
% 3.69/3.85 ** KEPT (pick-wt=2): 383 [] relation_empty_yielding(empty_set).
% 3.69/3.85 Following clause subsumed by 373 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 384 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 385 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 386 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 387 [] lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 388 [] upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 389 [] bounded_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 390 [] up_complete_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 391 [] join_complete_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 392 [] distributive_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 393 [] heyting_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 394 [] complemented_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 395 [] boolean_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 396 [] with_suprema_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 397 [] with_infima_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 398 [] complete_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 373 during input processing: 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 384 during input processing: 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 385 during input processing: 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 386 during input processing: 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 387 during input processing: 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 388 during input processing: 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 389 during input processing: 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 390 during input processing: 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 391 during input processing: 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 392 during input processing: 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 393 during input processing: 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 394 during input processing: 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 395 during input processing: 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 396 during input processing: 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 397 during input processing: 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 398 during input processing: 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 381 during input processing: 0 [] empty(empty_set).
% 3.69/3.85 Following clause subsumed by 382 during input processing: 0 [] relation(empty_set).
% 3.69/3.85 Following clause subsumed by 373 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 384 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 385 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 386 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 373 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 384 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 385 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 386 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 387 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 388 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 389 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 396 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 397 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 398 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 373 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 384 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 385 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 386 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 387 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 388 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 389 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 399 [] directed_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 390 during input processing: 0 [] up_complete_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 391 during input processing: 0 [] join_complete_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 396 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 397 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 3.69/3.85 Following clause subsumed by 398 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 3.69/3.85 ** KEPT (pick-wt=2): 400 [] rel_str($c4).
% 3.69/3.85 ** KEPT (pick-wt=2): 401 [] reflexive_relstr($c4).
% 3.69/3.85 ** KEPT (pick-wt=2): 402 [] transitive_relstr($c4).
% 3.69/3.85 ** KEPT (pick-wt=2): 403 [] antisymmetric_relstr($c4).
% 3.69/3.85 ** KEPT (pick-wt=2): 404 [] connected_relstr($c4).
% 3.69/3.85 ** KEPT (pick-wt=2): 405 [] rel_str($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 406 [] strict_rel_str($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 407 [] reflexive_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 408 [] transitive_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 409 [] antisymmetric_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 410 [] with_suprema_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 411 [] with_infima_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 412 [] complete_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 413 [] lower_bounded_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 414 [] upper_bounded_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 415 [] bounded_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 416 [] up_complete_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 417 [] join_complete_relstr($c5).
% 3.69/3.85 ** KEPT (pick-wt=2): 418 [] finite($c6).
% 3.69/3.85 ** KEPT (pick-wt=2): 419 [] rel_str($c7).
% 3.69/3.85 ** KEPT (pick-wt=2): 420 [] strict_rel_str($c7).
% 3.69/3.85 ** KEPT (pick-wt=2): 421 [] reflexive_relstr($c7).
% 3.69/3.85 ** KEPT (pick-wt=2): 422 [] transitive_relstr($c7).
% 3.69/3.85 ** KEPT (pick-wt=2): 423 [] antisymmetric_relstr($c7).
% 3.69/3.85 ** KEPT (pick-wt=2): 424 [] complete_relstr($c7).
% 3.69/3.85 ** KEPT (pick-wt=2): 425 [] empty($c8).
% 3.69/3.85 ** KEPT (pick-wt=2): 426 [] relation($c8).
% 3.69/3.85 ** KEPT (pick-wt=7): 427 [] empty(A)|element($f19(A),powerset(A)).
% 3.69/3.85 ** KEPT (pick-wt=2): 428 [] rel_str($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 429 [] strict_rel_str($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 430 [] reflexive_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 431 [] transitive_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 432 [] antisymmetric_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 433 [] lower_bounded_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 434 [] upper_bounded_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 435 [] bounded_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 436 [] distributive_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 437 [] heyting_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 438 [] complemented_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 439 [] boolean_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 440 [] with_suprema_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 441 [] with_infima_relstr($c9).
% 3.69/3.85 ** KEPT (pick-wt=2): 442 [] rel_str($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 443 [] strict_rel_str($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 444 [] reflexive_relstr($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 445 [] transitive_relstr($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 446 [] antisymmetric_relstr($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 447 [] with_suprema_relstr($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 448 [] with_infima_relstr($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 449 [] complete_relstr($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 450 [] trivial_carrier($c10).
% 3.69/3.85 ** KEPT (pick-wt=2): 451 [] rel_str($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 452 [] strict_rel_str($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 453 [] reflexive_relstr($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 454 [] transitive_relstr($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 455 [] antisymmetric_relstr($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 456 [] with_suprema_relstr($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 457 [] with_infima_relstr($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 458 [] complete_relstr($c11).
% 3.69/3.85 ** KEPT (pick-wt=2): 459 [] relation($c12).
% 3.69/3.85 ** KEPT (pick-wt=5): 460 [] element($f23(A),powerset(A)).
% 3.69/3.85 ** KEPT (pick-wt=3): 461 [] empty($f23(A)).
% 3.69/3.85 ** KEPT (pick-wt=6): 462 [] element($f26(A),powerset(powerset(A))).
% 3.69/3.85 ** KEPT (pick-wt=3): 463 [] finite($f26(A)).
% 3.69/3.85 ** KEPT (pick-wt=2): 464 [] rel_str($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 465 [] reflexive_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 466 [] transitive_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 467 [] antisymmetric_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 468 [] with_suprema_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 469 [] with_infima_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 470 [] complete_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 471 [] lower_bounded_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 472 [] upper_bounded_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=2): 473 [] bounded_relstr($c13).
% 3.69/3.85 ** KEPT (pick-wt=7): 474 [] empty(A)|element($f27(A),powerset(A)).
% 3.69/3.85 ** KEPT (pick-wt=5): 475 [] empty(A)|finite($f27(A)).
% 3.69/3.85 ** KEPT (pick-wt=2): 476 [] relation($c14).
% 3.69/3.85 ** KEPT (pick-wt=2): 477 [] relation_empty_yielding($c14).
% 3.69/3.85 ** KEPT (pick-wt=2): 478 [] one_sorted_str($c15).
% 3.69/3.85 ** KEPT (pick-wt=7): 479 [] empty(A)|element($f30(A),powerset(A)).
% 3.69/3.85 ** KEPT (pick-wt=5): 480 [] empty(A)|finite($f30(A)).
% 3.69/3.85 ** KEPT (pick-wt=2): 481 [] rel_str($c16).
% 3.69/3.85 ** KEPT (pick-wt=2): 482 [] strict_rel_str($c16).
% 3.69/3.85 ** KEPT (pick-wt=2): 483 [] transitive_relstr($c16).
% 3.69/3.85 ** KEPT (pick-wt=2): 484 [] directed_relstr($c16).
% 3.69/3.85 ** KEPT (pick-wt=3): 485 [] subset(A,A).
% 3.69/3.85 ** KEPT (pick-wt=2): 486 [] topological_space($c20).
% 3.69/3.85 ** KEPT (pick-wt=2): 487 [] top_str($c20).
% 3.69/3.85 ** KEPT (pick-wt=5): 488 [] element($c19,powerset(the_carrier($c20))).
% 3.69/3.85 ** KEPT (pick-wt=4): 489 [] element($c18,the_carrier($c20)).
% 3.69/3.85 ** KEPT (pick-wt=7): 490 [] in($c18,topstr_closure($c20,$c19))|transitive_relstr($c17).
% 3.69/3.85 ** KEPT (pick-wt=7): 491 [] in($c18,topstr_closure($c20,$c19))|directed_relstr($c17).
% 3.69/3.85 ** KEPT (pick-wt=8): 492 [] in($c18,topstr_closure($c20,$c19))|net_str($c17,$c20).
% 3.69/3.85 ** KEPT (pick-wt=9): 493 [] in($c18,topstr_closure($c20,$c19))|is_eventually_in($c20,$c17,$c19).
% 3.69/3.85 ** KEPT (pick-wt=9): 494 [] in($c18,topstr_closure($c20,$c19))|is_a_cluster_point_of_netstr($c20,$c17,$c18).
% 3.69/3.85 ** KEPT (pick-wt=13): 495 [] in($f44(A,B),A)|in($f44(A,B),B)|A=B.
% 3.69/3.85 ** KEPT (pick-wt=8): 496 [] disjoint(A,B)|in($f45(A,B),A).
% 3.69/3.85 ** KEPT (pick-wt=8): 497 [] disjoint(A,B)|in($f45(A,B),B).
% 3.69/3.85 Following clause subsumed by 372 during input processing: 0 [copy,372,flip.1] A=A.
% 3.69/3.85 372 back subsumes 370.
% 3.69/3.85 372 back subsumes 364.
% 3.69/3.85
% 3.69/3.85 ======= end of input processing =======
% 3.82/4.01
% 3.82/4.01 =========== start of search ===========
% 3.82/4.01
% 3.82/4.01
% 3.82/4.01 Resetting weight limit to 2.
% 3.82/4.01
% 3.82/4.01
% 3.82/4.01 Resetting weight limit to 2.
% 3.82/4.01
% 3.82/4.01 sos_size=125
% 3.82/4.01
% 3.82/4.01 Search stopped because sos empty.
% 3.82/4.01
% 3.82/4.01
% 3.82/4.01 Search stopped because sos empty.
% 3.82/4.01
% 3.82/4.01 ============ end of search ============
% 3.82/4.01
% 3.82/4.01 -------------- statistics -------------
% 3.82/4.01 clauses given 159
% 3.82/4.01 clauses generated 6185
% 3.82/4.01 clauses kept 526
% 3.82/4.01 clauses forward subsumed 164
% 3.82/4.01 clauses back subsumed 3
% 3.82/4.01 Kbytes malloced 5859
% 3.82/4.01
% 3.82/4.01 ----------- times (seconds) -----------
% 3.82/4.01 user CPU time 0.21 (0 hr, 0 min, 0 sec)
% 3.82/4.01 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.82/4.01 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 3.82/4.01
% 3.82/4.01 Process 14691 finished Wed Jul 27 07:42:15 2022
% 3.82/4.01 Otter interrupted
% 3.82/4.01 PROOF NOT FOUND
%------------------------------------------------------------------------------