%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU398+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n004.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 3.18s 3.35s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU398+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 07:26:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 3.09/3.22  ----- Otter 3.3f, August 2004 -----
% 3.09/3.22  The process was started by sandbox2 on n004.cluster.edu,
% 3.09/3.22  Wed Jul 27 07:26:36 2022
% 3.09/3.22  The command was "./otter".  The process ID is 12798.
% 3.09/3.22  
% 3.09/3.22  set(prolog_style_variables).
% 3.09/3.22  set(auto).
% 3.09/3.22     dependent: set(auto1).
% 3.09/3.22     dependent: set(process_input).
% 3.09/3.22     dependent: clear(print_kept).
% 3.09/3.22     dependent: clear(print_new_demod).
% 3.09/3.22     dependent: clear(print_back_demod).
% 3.09/3.22     dependent: clear(print_back_sub).
% 3.09/3.22     dependent: set(control_memory).
% 3.09/3.22     dependent: assign(max_mem, 12000).
% 3.09/3.22     dependent: assign(pick_given_ratio, 4).
% 3.09/3.22     dependent: assign(stats_level, 1).
% 3.09/3.22     dependent: assign(max_seconds, 10800).
% 3.09/3.22  clear(print_given).
% 3.09/3.22  
% 3.09/3.22  formula_list(usable).
% 3.09/3.22  all A (A=A).
% 3.09/3.22  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)))).
% 3.09/3.22  all A B (in(A,B)-> -in(B,A)).
% 3.09/3.22  all A (empty(A)->finite(A)).
% 3.09/3.22  all A (empty(A)->relation(A)).
% 3.09/3.22  all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 3.09/3.22  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))))).
% 3.09/3.22  all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 3.09/3.22  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->boundary_set(B,A))))).
% 3.09/3.22  all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->nowhere_dense(B,A))))).
% 3.09/3.22  all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (nowhere_dense(B,A)->boundary_set(B,A))))).
% 3.09/3.22  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))))).
% 3.09/3.22  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))))).
% 3.09/3.22  all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 3.09/3.22  all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_intersection2(A,B,C)=subset_intersection2(A,C,B)).
% 3.09/3.22  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)))))))))).
% 3.09/3.22  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))))))))))))).
% 3.09/3.22  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)))))))).
% 3.09/3.22  all A B C (relation_of2_as_subset(C,A,B)-> ((B=empty_set->A=empty_set)-> (quasi_total(C,A,B)<->A=relation_dom_as_subset(A,B,C)))& (B=empty_set->A=empty_set| (quasi_total(C,A,B)<->C=empty_set))).
% 3.09/3.22  all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,powerset(the_carrier(A)))-> (netstr_induced_subset(C,A,B)<-> (exists D (element(D,the_carrier(B))&C=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,D)),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,D))))))))))).
% 3.09/3.22  all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 3.09/3.22  all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 3.09/3.22  all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 3.09/3.22  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)))))).
% 3.09/3.22  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))))))))).
% 3.09/3.22  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)).
% 3.09/3.22  $T.
% 3.09/3.22  all A (one_sorted_str(A)->element(empty_carrier_subset(A),powerset(the_carrier(A)))).
% 3.09/3.22  $T.
% 3.09/3.22  all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(interior(A,B),powerset(the_carrier(A)))).
% 3.09/3.22  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))).
% 3.09/3.22  $T.
% 3.09/3.22  $T.
% 3.09/3.22  $T.
% 3.09/3.22  $T.
% 3.09/3.22  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))).
% 3.09/3.22  $T.
% 3.09/3.22  all A B C (relation_of2(C,A,B)->element(relation_dom_as_subset(A,B,C),powerset(A))).
% 3.09/3.22  all A B C (relation_of2(C,A,B)->element(relation_rng_as_subset(A,B,C),powerset(B))).
% 3.09/3.22  all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_intersection2(A,B,C),powerset(A))).
% 3.09/3.22  all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)&element(C,the_carrier(B))->strict_net_str(netstr_restr_to_element(A,B,C),A)&net_str(netstr_restr_to_element(A,B,C),A)).
% 3.09/3.22  all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(topstr_closure(A,B),powerset(the_carrier(A)))).
% 3.09/3.22  all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))->strict_net_str(subnetstr_of_element(A,B,C),A)&subnet(subnetstr_of_element(A,B,C),A,B)).
% 3.09/3.22  all A (rel_str(A)->one_sorted_str(A)).
% 3.09/3.22  all A (top_str(A)->one_sorted_str(A)).
% 3.09/3.22  $T.
% 3.09/3.22  all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 3.09/3.22  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)))))).
% 3.09/3.22  $T.
% 3.09/3.22  $T.
% 3.09/3.22  all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> (all C (netstr_induced_subset(C,A,B)->element(C,powerset(the_carrier(A)))))).
% 3.09/3.22  all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 3.09/3.22  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)))).
% 3.09/3.22  all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 3.09/3.22  $T.
% 3.09/3.22  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))).
% 3.09/3.22  exists A rel_str(A).
% 3.09/3.22  exists A top_str(A).
% 3.09/3.22  exists A one_sorted_str(A).
% 3.09/3.22  all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 3.09/3.22  all A B (-empty_carrier(A)&topological_space(A)&top_str(A)&element(B,the_carrier(A))-> (exists C point_neighbourhood(C,A,B))).
% 3.09/3.22  all A B exists C relation_of2(C,A,B).
% 3.09/3.22  all A exists B element(B,A).
% 3.09/3.22  all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> (exists C netstr_induced_subset(C,A,B))).
% 3.09/3.22  all A B exists C relation_of2_as_subset(C,A,B).
% 3.09/3.22  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))).
% 3.09/3.22  all A B (finite(B)->finite(set_intersection2(A,B))).
% 3.09/3.22  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)).
% 3.09/3.22  all A B (finite(A)->finite(set_intersection2(A,B))).
% 3.09/3.22  empty(empty_set).
% 3.09/3.22  relation(empty_set).
% 3.09/3.22  relation_empty_yielding(empty_set).
% 3.09/3.22  all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 3.09/3.22  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))).
% 3.09/3.22  all A (one_sorted_str(A)->empty(empty_carrier_subset(A))&v1_membered(empty_carrier_subset(A))&v2_membered(empty_carrier_subset(A))&v3_membered(empty_carrier_subset(A))&v4_membered(empty_carrier_subset(A))&v5_membered(empty_carrier_subset(A))).
% 3.09/3.22  all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 3.09/3.22  all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 3.09/3.22  all A (-empty(powerset(A))).
% 3.09/3.22  all A (topological_space(A)&top_str(A)->empty(empty_carrier_subset(A))&closed_subset(empty_carrier_subset(A),A)&v1_membered(empty_carrier_subset(A))&v2_membered(empty_carrier_subset(A))&v3_membered(empty_carrier_subset(A))&v4_membered(empty_carrier_subset(A))&v5_membered(empty_carrier_subset(A))).
% 3.09/3.22  all A (rel_str(A)->empty(empty_carrier_subset(A))&strongly_connected_rel_subset(empty_carrier_subset(A),A)&finite(empty_carrier_subset(A))&v1_membered(empty_carrier_subset(A))&v2_membered(empty_carrier_subset(A))&v3_membered(empty_carrier_subset(A))&v4_membered(empty_carrier_subset(A))&v5_membered(empty_carrier_subset(A))&directed_subset(empty_carrier_subset(A),A)&filtered_subset(empty_carrier_subset(A),A)).
% 3.09/3.22  all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))-> -empty_carrier(netstr_restr_to_element(A,B,C))&strict_net_str(netstr_restr_to_element(A,B,C),A)).
% 3.09/3.22  all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))-> -empty_carrier(netstr_restr_to_element(A,B,C))&transitive_relstr(netstr_restr_to_element(A,B,C))&strict_net_str(netstr_restr_to_element(A,B,C),A)&directed_relstr(netstr_restr_to_element(A,B,C))).
% 3.09/3.22  all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->closed_subset(topstr_closure(A,B),A)).
% 3.09/3.22  empty(empty_set).
% 3.09/3.22  relation(empty_set).
% 3.09/3.22  all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 3.09/3.22  all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 3.09/3.22  all A (top_str(A)->empty(interior(A,empty_carrier_subset(A)))&v1_membered(interior(A,empty_carrier_subset(A)))&v2_membered(interior(A,empty_carrier_subset(A)))&v3_membered(interior(A,empty_carrier_subset(A)))&v4_membered(interior(A,empty_carrier_subset(A)))&v5_membered(interior(A,empty_carrier_subset(A)))).
% 3.09/3.22  all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 3.09/3.22  all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->open_subset(interior(A,B),A)).
% 3.09/3.22  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)).
% 3.09/3.22  all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 3.09/3.22  all A (topological_space(A)&top_str(A)->empty(empty_carrier_subset(A))&open_subset(empty_carrier_subset(A),A)&closed_subset(empty_carrier_subset(A),A)&v1_membered(empty_carrier_subset(A))&v2_membered(empty_carrier_subset(A))&v3_membered(empty_carrier_subset(A))&v4_membered(empty_carrier_subset(A))&v5_membered(empty_carrier_subset(A))).
% 3.09/3.22  all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 3.09/3.22  all A B C D (-empty_carrier(B)&one_sorted_str(B)& -empty_carrier(C)&net_str(C,B)&element(D,the_carrier(C))-> (in(A,a_3_0_waybel_9(B,C,D))<-> (exists E (element(E,the_carrier(C))&A=E&related(C,D,E))))).
% 3.09/3.22  all A B C D (-empty_carrier(B)&topological_space(B)&top_str(B)& -empty_carrier(C)&transitive_relstr(C)&directed_relstr(C)&net_str(C,B)&element(D,the_carrier(C))-> (in(A,a_3_3_yellow19(B,C,D))<-> (exists E (element(E,the_carrier(C))&A=E&related(C,D,E))))).
% 3.09/3.22  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))).
% 3.09/3.22  all A B (set_intersection2(A,A)=A).
% 3.09/3.22  all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_intersection2(A,B,B)=B).
% 3.09/3.22  exists A (-empty(A)&finite(A)).
% 3.09/3.22  exists A (empty(A)&relation(A)).
% 3.09/3.22  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 3.09/3.22  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)))).
% 3.09/3.22  all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&directed_subset(B,A)&filtered_subset(B,A)))).
% 3.09/3.22  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)))).
% 3.09/3.22  exists A (-empty(A)&relation(A)).
% 3.09/3.22  all A exists B (element(B,powerset(A))&empty(B)).
% 3.09/3.22  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)&closed_subset(B,A)))).
% 3.09/3.22  all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 3.09/3.22  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.09/3.22  exists A (relation(A)&relation_empty_yielding(A)).
% 3.09/3.22  exists A (one_sorted_str(A)& -empty_carrier(A)).
% 3.09/3.22  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)))).
% 3.09/3.22  all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 3.09/3.22  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 3.09/3.22  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)))).
% 3.09/3.22  all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 3.09/3.22  all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 3.09/3.22  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)))).
% 3.09/3.22  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 3.09/3.22  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)))).
% 3.09/3.22  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)).
% 3.09/3.22  all A B C (relation_of2(C,A,B)->relation_dom_as_subset(A,B,C)=relation_dom(C)).
% 3.09/3.22  all A B C (relation_of2(C,A,B)->relation_rng_as_subset(A,B,C)=relation_rng(C)).
% 3.09/3.22  all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_intersection2(A,B,C)=set_intersection2(B,C)).
% 3.09/3.22  all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))->subnetstr_of_element(A,B,C)=netstr_restr_to_element(A,B,C)).
% 3.09/3.22  all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 3.09/3.22  all A B subset(A,A).
% 3.09/3.22  all A B (disjoint(A,B)->disjoint(B,A)).
% 3.09/3.22  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))->the_carrier(netstr_restr_to_element(A,B,C))=a_3_0_waybel_9(A,B,C)))))).
% 3.09/3.22  all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&directed_relstr(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))-> (all D (element(D,the_carrier(B))-> (all E (element(E,the_carrier(netstr_restr_to_element(A,B,C)))-> (D=E->apply_netmap(A,B,D)=apply_netmap(A,netstr_restr_to_element(A,B,C),E))))))))))).
% 3.09/3.22  all A B (in(A,B)->element(A,B)).
% 3.09/3.22  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))))))))).
% 3.09/3.22  all A (set_intersection2(A,empty_set)=empty_set).
% 3.09/3.22  all A B (element(A,B)->empty(B)|in(A,B)).
% 3.09/3.22  all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 3.09/3.22  -(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))-> (is_a_cluster_point_of_netstr(A,B,C)<-> (all D (netstr_induced_subset(D,A,B)->in(C,topstr_closure(A,D))))))))))).
% 3.09/3.22  all A B (element(A,powerset(B))<->subset(A,B)).
% 3.09/3.22  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))->subset(interior(A,B),B)))).
% 3.09/3.22  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 3.09/3.22  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 3.09/3.22  all A (empty(A)->A=empty_set).
% 3.09/3.22  all A B (-(in(A,B)&empty(B))).
% 3.09/3.22  all A B (-(empty(A)&A!=B&empty(B))).
% 3.09/3.22  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 (netstr_induced_subset(C,A,B)->is_eventually_in(A,B,C)))))).
% 3.09/3.22  end_of_list.
% 3.09/3.22  
% 3.09/3.22  -------> usable clausifies to:
% 3.09/3.22  
% 3.09/3.22  list(usable).
% 3.09/3.22  0 [] A=A.
% 3.09/3.22  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)).
% 3.09/3.22  0 [] -in(A,B)| -in(B,A).
% 3.09/3.22  0 [] -empty(A)|finite(A).
% 3.09/3.22  0 [] -empty(A)|relation(A).
% 3.09/3.22  0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.09/3.22  0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.09/3.22  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).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.09/3.22  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).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 3.09/3.22  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 3.09/3.22  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).
% 3.09/3.22  0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.09/3.22  0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_intersection2(A,B,C)=subset_intersection2(A,C,B).
% 3.09/3.22  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($f1(A,B,C,D),the_carrier(B)).
% 3.09/3.22  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,$f1(A,B,C,D)).
% 3.09/3.22  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|in(apply_netmap(A,B,$f1(A,B,C,D)),C).
% 3.09/3.22  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)|element($f2(A,B,C),the_carrier(B)).
% 3.09/3.22  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)| -element(E,the_carrier(B))| -related(B,$f2(A,B,C),E)| -in(apply_netmap(A,B,E),C).
% 3.09/3.22  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).
% 3.09/3.22  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($f3(A,B,C,D),powerset(the_carrier(A))).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|open_subset($f3(A,B,C,D),A).
% 3.09/3.22  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,$f3(A,B,C,D)).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|disjoint(B,$f3(A,B,C,D)).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f5(A,B,C),the_carrier(A)).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f5(A,B,C),C)| -element(X1,powerset(the_carrier(A)))| -open_subset(X1,A)| -in($f5(A,B,C),X1)| -disjoint(B,X1).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|element($f4(A,B,C),powerset(the_carrier(A))).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|open_subset($f4(A,B,C),A).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|in($f5(A,B,C),$f4(A,B,C)).
% 3.09/3.22  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|disjoint(B,$f4(A,B,C)).
% 3.09/3.22  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)).
% 3.09/3.22  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)).
% 3.09/3.22  0 [] -relation_of2_as_subset(C,A,B)|B=empty_set| -quasi_total(C,A,B)|A=relation_dom_as_subset(A,B,C).
% 3.09/3.22  0 [] -relation_of2_as_subset(C,A,B)|B=empty_set|quasi_total(C,A,B)|A!=relation_dom_as_subset(A,B,C).
% 3.09/3.22  0 [] -relation_of2_as_subset(C,A,B)|A!=empty_set| -quasi_total(C,A,B)|A=relation_dom_as_subset(A,B,C).
% 3.09/3.22  0 [] -relation_of2_as_subset(C,A,B)|A!=empty_set|quasi_total(C,A,B)|A!=relation_dom_as_subset(A,B,C).
% 3.09/3.22  0 [] -relation_of2_as_subset(C,A,B)|B!=empty_set|A=empty_set| -quasi_total(C,A,B)|C=empty_set.
% 3.09/3.22  0 [] -relation_of2_as_subset(C,A,B)|B!=empty_set|A=empty_set|quasi_total(C,A,B)|C!=empty_set.
% 3.09/3.22  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|element($f6(A,B,C),the_carrier(B)).
% 3.09/3.22  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|C=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,$f6(A,B,C))),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,$f6(A,B,C)))).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))|netstr_induced_subset(C,A,B)| -element(D,the_carrier(B))|C!=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,D)),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,D))).
% 3.09/3.23  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 3.09/3.23  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 3.09/3.23  0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 3.09/3.23  0 [] C=set_intersection2(A,B)|in($f7(A,B,C),C)|in($f7(A,B,C),A).
% 3.09/3.23  0 [] C=set_intersection2(A,B)|in($f7(A,B,C),C)|in($f7(A,B,C),B).
% 3.09/3.23  0 [] C=set_intersection2(A,B)| -in($f7(A,B,C),C)| -in($f7(A,B,C),A)| -in($f7(A,B,C),B).
% 3.09/3.23  0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f8(A,B,C),relation_dom(A)).
% 3.09/3.23  0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f8(A,B,C)).
% 3.09/3.23  0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.09/3.23  0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|in($f9(A,B),relation_dom(A)).
% 3.09/3.23  0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|$f10(A,B)=apply(A,$f9(A,B)).
% 3.09/3.23  0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f10(A,B),B)| -in(X2,relation_dom(A))|$f10(A,B)!=apply(A,X2).
% 3.09/3.23  0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.09/3.23  0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))| -is_a_cluster_point_of_netstr(A,B,C)| -point_neighbourhood(D,A,C)|is_often_in(A,B,D).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))|is_a_cluster_point_of_netstr(A,B,C)|point_neighbourhood($f11(A,B,C),A,C).
% 3.09/3.23  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,$f11(A,B,C)).
% 3.09/3.23  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).
% 3.09/3.23  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).
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] -one_sorted_str(A)|element(empty_carrier_subset(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 3.09/3.23  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)).
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] $T.
% 3.09/3.23  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)).
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] -relation_of2(C,A,B)|element(relation_dom_as_subset(A,B,C),powerset(A)).
% 3.09/3.23  0 [] -relation_of2(C,A,B)|element(relation_rng_as_subset(A,B,C),powerset(B)).
% 3.09/3.23  0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_intersection2(A,B,C),powerset(A)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(subnetstr_of_element(A,B,C),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnet(subnetstr_of_element(A,B,C),A,B).
% 3.09/3.23  0 [] -rel_str(A)|one_sorted_str(A).
% 3.09/3.23  0 [] -top_str(A)|one_sorted_str(A).
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 3.09/3.23  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))).
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -netstr_induced_subset(C,A,B)|element(C,powerset(the_carrier(A))).
% 3.09/3.23  0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 3.09/3.23  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).
% 3.09/3.23  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).
% 3.09/3.23  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).
% 3.09/3.23  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).
% 3.09/3.23  0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.09/3.23  0 [] $T.
% 3.09/3.23  0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.09/3.23  0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.09/3.23  0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.09/3.23  0 [] rel_str($c1).
% 3.09/3.23  0 [] top_str($c2).
% 3.09/3.23  0 [] one_sorted_str($c3).
% 3.09/3.23  0 [] -one_sorted_str(A)|net_str($f12(A),A).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|point_neighbourhood($f13(A,B),A,B).
% 3.09/3.23  0 [] relation_of2($f14(A,B),A,B).
% 3.09/3.23  0 [] element($f15(A),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|netstr_induced_subset($f16(A,B),A,B).
% 3.09/3.23  0 [] relation_of2_as_subset($f17(A,B),A,B).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f18(A,B),A,B).
% 3.09/3.23  0 [] -finite(B)|finite(set_intersection2(A,B)).
% 3.09/3.23  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|empty(interior(A,B)).
% 3.09/3.23  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v1_membered(interior(A,B)).
% 3.09/3.23  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v2_membered(interior(A,B)).
% 3.09/3.23  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v3_membered(interior(A,B)).
% 3.09/3.23  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v4_membered(interior(A,B)).
% 3.09/3.23  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v5_membered(interior(A,B)).
% 3.09/3.23  0 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|boundary_set(interior(A,B),A).
% 3.09/3.23  0 [] -finite(A)|finite(set_intersection2(A,B)).
% 3.09/3.23  0 [] empty(empty_set).
% 3.09/3.23  0 [] relation(empty_set).
% 3.09/3.23  0 [] relation_empty_yielding(empty_set).
% 3.09/3.23  0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.09/3.23  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)).
% 3.09/3.23  0 [] -one_sorted_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -one_sorted_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -one_sorted_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -one_sorted_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -one_sorted_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -one_sorted_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.09/3.23  0 [] -empty(powerset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|closed_subset(empty_carrier_subset(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|strongly_connected_rel_subset(empty_carrier_subset(A),A).
% 3.09/3.23  0 [] -rel_str(A)|finite(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -rel_str(A)|directed_subset(empty_carrier_subset(A),A).
% 3.09/3.23  0 [] -rel_str(A)|filtered_subset(empty_carrier_subset(A),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|transitive_relstr(netstr_restr_to_element(A,B,C)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|directed_relstr(netstr_restr_to_element(A,B,C)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 3.09/3.23  0 [] empty(empty_set).
% 3.09/3.23  0 [] relation(empty_set).
% 3.09/3.23  0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.09/3.23  0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.09/3.23  0 [] -top_str(A)|empty(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  0 [] -top_str(A)|v1_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  0 [] -top_str(A)|v2_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  0 [] -top_str(A)|v3_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  0 [] -top_str(A)|v4_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  0 [] -top_str(A)|v5_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 3.09/3.23  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)).
% 3.09/3.23  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).
% 3.09/3.23  0 [] -empty(A)|empty(relation_dom(A)).
% 3.09/3.23  0 [] -empty(A)|relation(relation_dom(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|open_subset(empty_carrier_subset(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|closed_subset(empty_carrier_subset(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  0 [] -empty(A)|empty(relation_rng(A)).
% 3.09/3.23  0 [] -empty(A)|relation(relation_rng(A)).
% 3.09/3.23  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_0_waybel_9(B,C,D))|element($f19(A,B,C,D),the_carrier(C)).
% 3.09/3.23  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_0_waybel_9(B,C,D))|A=$f19(A,B,C,D).
% 3.09/3.23  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_0_waybel_9(B,C,D))|related(C,D,$f19(A,B,C,D)).
% 3.09/3.23  0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -element(D,the_carrier(C))|in(A,a_3_0_waybel_9(B,C,D))| -element(E,the_carrier(C))|A!=E| -related(C,D,E).
% 3.09/3.23  0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_3_yellow19(B,C,D))|element($f20(A,B,C,D),the_carrier(C)).
% 3.09/3.23  0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_3_yellow19(B,C,D))|A=$f20(A,B,C,D).
% 3.09/3.23  0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,B)| -element(D,the_carrier(C))| -in(A,a_3_3_yellow19(B,C,D))|related(C,D,$f20(A,B,C,D)).
% 3.09/3.23  0 [] empty_carrier(B)| -topological_space(B)| -top_str(B)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,B)| -element(D,the_carrier(C))|in(A,a_3_3_yellow19(B,C,D))| -element(E,the_carrier(C))|A!=E| -related(C,D,E).
% 3.09/3.23  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|A=E.
% 3.09/3.23  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|B=F.
% 3.09/3.23  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|C=G.
% 3.09/3.23  0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|D=H.
% 3.09/3.23  0 [] set_intersection2(A,A)=A.
% 3.09/3.23  0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_intersection2(A,B,B)=B.
% 3.09/3.23  0 [] -empty($c4).
% 3.09/3.23  0 [] finite($c4).
% 3.09/3.23  0 [] empty($c5).
% 3.09/3.23  0 [] relation($c5).
% 3.09/3.23  0 [] empty(A)|element($f21(A),powerset(A)).
% 3.09/3.23  0 [] empty(A)| -empty($f21(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|element($f22(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|open_subset($f22(A),A).
% 3.09/3.23  0 [] -rel_str(A)|element($f23(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] -rel_str(A)|directed_subset($f23(A),A).
% 3.09/3.23  0 [] -rel_str(A)|filtered_subset($f23(A),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f24(A,B),A,B).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f24(A,B)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f24(A,B)).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f24(A,B),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f24(A,B)).
% 3.09/3.23  0 [] -empty($c6).
% 3.09/3.23  0 [] relation($c6).
% 3.09/3.23  0 [] element($f25(A),powerset(A)).
% 3.09/3.23  0 [] empty($f25(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|element($f26(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|open_subset($f26(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|closed_subset($f26(A),A).
% 3.09/3.23  0 [] element($f27(A),powerset(powerset(A))).
% 3.09/3.23  0 [] -empty($f27(A)).
% 3.09/3.23  0 [] finite($f27(A)).
% 3.09/3.23  0 [] empty(A)|element($f28(A),powerset(A)).
% 3.09/3.23  0 [] empty(A)| -empty($f28(A)).
% 3.09/3.23  0 [] empty(A)|finite($f28(A)).
% 3.09/3.23  0 [] relation($c7).
% 3.09/3.23  0 [] relation_empty_yielding($c7).
% 3.09/3.23  0 [] one_sorted_str($c8).
% 3.09/3.23  0 [] -empty_carrier($c8).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f29(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f29(A)).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f29(A),A).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f29(A),A).
% 3.09/3.23  0 [] -one_sorted_str(A)|element($f30(A),powerset(powerset(the_carrier(A)))).
% 3.09/3.23  0 [] -one_sorted_str(A)| -empty($f30(A)).
% 3.09/3.23  0 [] -one_sorted_str(A)|finite($f30(A)).
% 3.09/3.23  0 [] empty(A)|element($f31(A),powerset(A)).
% 3.09/3.23  0 [] empty(A)| -empty($f31(A)).
% 3.09/3.23  0 [] empty(A)|finite($f31(A)).
% 3.09/3.23  0 [] -top_str(A)|element($f32(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] -top_str(A)|empty($f32(A)).
% 3.09/3.23  0 [] -top_str(A)|v1_membered($f32(A)).
% 3.09/3.23  0 [] -top_str(A)|v2_membered($f32(A)).
% 3.09/3.23  0 [] -top_str(A)|v3_membered($f32(A)).
% 3.09/3.23  0 [] -top_str(A)|v4_membered($f32(A)).
% 3.09/3.23  0 [] -top_str(A)|v5_membered($f32(A)).
% 3.09/3.23  0 [] -top_str(A)|boundary_set($f32(A),A).
% 3.09/3.23  0 [] -one_sorted_str(A)|net_str($f33(A),A).
% 3.09/3.23  0 [] -one_sorted_str(A)|strict_net_str($f33(A),A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|element($f34(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f34(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|element($f35(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|empty($f35(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|open_subset($f35(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|closed_subset($f35(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v1_membered($f35(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v2_membered($f35(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v3_membered($f35(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v4_membered($f35(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|v5_membered($f35(A)).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|boundary_set($f35(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|nowhere_dense($f35(A),A).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|element($f36(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] -topological_space(A)| -top_str(A)|closed_subset($f36(A),A).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f37(A),powerset(the_carrier(A))).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f37(A)).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f37(A),A).
% 3.09/3.23  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).
% 3.09/3.23  0 [] -relation_of2(C,A,B)|relation_dom_as_subset(A,B,C)=relation_dom(C).
% 3.09/3.23  0 [] -relation_of2(C,A,B)|relation_rng_as_subset(A,B,C)=relation_rng(C).
% 3.09/3.23  0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_intersection2(A,B,C)=set_intersection2(B,C).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnetstr_of_element(A,B,C)=netstr_restr_to_element(A,B,C).
% 3.09/3.23  0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 3.09/3.23  0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 3.09/3.23  0 [] subset(A,A).
% 3.09/3.23  0 [] -disjoint(A,B)|disjoint(B,A).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|the_carrier(netstr_restr_to_element(A,B,C))=a_3_0_waybel_9(A,B,C).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -element(D,the_carrier(B))| -element(E,the_carrier(netstr_restr_to_element(A,B,C)))|D!=E|apply_netmap(A,B,D)=apply_netmap(A,netstr_restr_to_element(A,B,C),E).
% 3.09/3.23  0 [] -in(A,B)|element(A,B).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))| -empty_carrier($f38(A,B,C)).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|transitive_relstr($f38(A,B,C)).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|directed_relstr($f38(A,B,C)).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|net_str($f38(A,B,C),A).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|is_eventually_in(A,$f38(A,B,C),B).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|is_a_cluster_point_of_netstr(A,$f38(A,B,C),C).
% 3.09/3.23  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))|in(C,topstr_closure(A,B))|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).
% 3.09/3.23  0 [] set_intersection2(A,empty_set)=empty_set.
% 3.09/3.23  0 [] -element(A,B)|empty(B)|in(A,B).
% 3.09/3.23  0 [] in($f39(A,B),A)|in($f39(A,B),B)|A=B.
% 3.09/3.23  0 [] -in($f39(A,B),A)| -in($f39(A,B),B)|A=B.
% 3.09/3.23  0 [] -empty_carrier($c12).
% 3.09/3.23  0 [] topological_space($c12).
% 3.09/3.23  0 [] top_str($c12).
% 3.09/3.23  0 [] -empty_carrier($c11).
% 3.09/3.23  0 [] transitive_relstr($c11).
% 3.09/3.23  0 [] directed_relstr($c11).
% 3.09/3.23  0 [] net_str($c11,$c12).
% 3.09/3.23  0 [] element($c10,the_carrier($c12)).
% 3.09/3.23  0 [] is_a_cluster_point_of_netstr($c12,$c11,$c10)| -netstr_induced_subset(D,$c12,$c11)|in($c10,topstr_closure($c12,D)).
% 3.09/3.23  0 [] -is_a_cluster_point_of_netstr($c12,$c11,$c10)|netstr_induced_subset($c9,$c12,$c11).
% 3.09/3.23  0 [] -is_a_cluster_point_of_netstr($c12,$c11,$c10)| -in($c10,topstr_closure($c12,$c9)).
% 3.09/3.23  0 [] -element(A,powerset(B))|subset(A,B).
% 3.09/3.23  0 [] element(A,powerset(B))| -subset(A,B).
% 3.09/3.23  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|subset(interior(A,B),B).
% 3.09/3.23  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.09/3.23  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.09/3.23  0 [] -empty(A)|A=empty_set.
% 3.09/3.23  0 [] -in(A,B)| -empty(B).
% 3.09/3.23  0 [] -empty(A)|A=B| -empty(B).
% 3.09/3.23  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -netstr_induced_subset(C,A,B)|is_eventually_in(A,B,C).
% 3.09/3.23  end_of_list.
% 3.09/3.23  
% 3.09/3.23  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 3.09/3.23  
% 3.09/3.23  This ia a non-Horn set with equality.  The strategy will be
% 3.09/3.23  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 3.09/3.23  deletion, with positive clauses in sos and nonpositive
% 3.09/3.23  clauses in usable.
% 3.09/3.23  
% 3.09/3.23     dependent: set(knuth_bendix).
% 3.09/3.23     dependent: set(anl_eq).
% 3.09/3.23     dependent: set(para_from).
% 3.09/3.23     dependent: set(para_into).
% 3.09/3.23     dependent: clear(para_from_right).
% 3.09/3.23     dependent: clear(para_into_right).
% 3.09/3.23     dependent: set(para_from_vars).
% 3.09/3.23     dependent: set(eq_units_both_ways).
% 3.09/3.23     dependent: set(dynamic_demod_all).
% 3.09/3.23     dependent: set(dynamic_demod).
% 3.09/3.23     dependent: set(order_eq).
% 3.09/3.23     dependent: set(back_demod).
% 3.09/3.23     dependent: set(lrpo).
% 3.09/3.23     dependent: set(hyper_res).
% 3.09/3.23     dependent: set(unit_deletion).
% 3.09/3.23     dependent: set(factor).
% 3.09/3.23  
% 3.09/3.23  ------------> process usable:
% 3.09/3.23  ** KEPT (pick-wt=19): 2 [copy,1,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.
% 3.09/3.23  ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 3.09/3.23  ** KEPT (pick-wt=4): 4 [] -empty(A)|finite(A).
% 3.09/3.23  ** KEPT (pick-wt=4): 5 [] -empty(A)|relation(A).
% 3.09/3.23  ** KEPT (pick-wt=8): 6 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 3.09/3.23  ** KEPT (pick-wt=14): 7 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 3.09/3.23  ** KEPT (pick-wt=14): 8 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 3.09/3.23  ** KEPT (pick-wt=8): 9 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 3.09/3.23  ** KEPT (pick-wt=12): 10 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 3.09/3.23  ** KEPT (pick-wt=14): 11 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 3.09/3.23  ** KEPT (pick-wt=15): 12 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 3.09/3.23  ** KEPT (pick-wt=18): 13 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)| -boundary_set(B,A)|nowhere_dense(B,A).
% 3.09/3.23  ** KEPT (pick-wt=17): 14 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 3.09/3.23  ** KEPT (pick-wt=18): 15 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|closed_subset(B,A).
% 3.09/3.23  ** KEPT (pick-wt=17): 16 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 3.09/3.23  ** KEPT (pick-wt=17): 17 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 3.09/3.23  ** KEPT (pick-wt=17): 18 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 3.09/3.23  ** KEPT (pick-wt=17): 19 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 3.09/3.23  ** KEPT (pick-wt=17): 20 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 3.09/3.23    Following clause subsumed by 12 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).
% 3.09/3.23  ** KEPT (pick-wt=17): 21 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_intersection2(B,A,C)=subset_intersection2(B,C,A).
% 3.09/3.23  ** KEPT (pick-wt=25): 22 [] 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($f1(A,B,C,D),the_carrier(B)).
% 3.09/3.23  ** KEPT (pick-wt=25): 23 [] 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,$f1(A,B,C,D)).
% 3.09/3.23  ** KEPT (pick-wt=27): 24 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|in(apply_netmap(A,B,$f1(A,B,C,D)),C).
% 3.09/3.23  ** KEPT (pick-wt=20): 25 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)|element($f2(A,B,C),the_carrier(B)).
% 3.09/3.23  ** KEPT (pick-wt=30): 26 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)| -element(D,the_carrier(B))| -related(B,$f2(A,B,C),D)| -in(apply_netmap(A,B,D),C).
% 3.09/3.23  ** KEPT (pick-wt=38): 27 [] -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).
% 3.09/3.23  ** KEPT (pick-wt=33): 28 [] -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($f3(A,B,C,D),powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=31): 29 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|open_subset($f3(A,B,C,D),A).
% 3.09/3.23  ** KEPT (pick-wt=31): 30 [] -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,$f3(A,B,C,D)).
% 3.09/3.23  ** KEPT (pick-wt=31): 31 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C!=topstr_closure(A,B)| -in(D,the_carrier(A))|in(D,C)|disjoint(B,$f3(A,B,C,D)).
% 3.09/3.23  ** KEPT (pick-wt=24): 32 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f5(A,B,C),the_carrier(A)).
% 3.09/3.23  ** KEPT (pick-wt=40): 33 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)|in($f5(A,B,C),C)| -element(D,powerset(the_carrier(A)))| -open_subset(D,A)| -in($f5(A,B,C),D)| -disjoint(B,D).
% 3.09/3.23  ** KEPT (pick-wt=31): 34 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|element($f4(A,B,C),powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=29): 35 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|open_subset($f4(A,B,C),A).
% 3.09/3.23  ** KEPT (pick-wt=32): 36 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|in($f5(A,B,C),$f4(A,B,C)).
% 3.09/3.23  ** KEPT (pick-wt=29): 37 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,powerset(the_carrier(A)))|C=topstr_closure(A,B)| -in($f5(A,B,C),C)|disjoint(B,$f4(A,B,C)).
% 3.09/3.23  ** KEPT (pick-wt=24): 38 [] 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)).
% 3.09/3.23  ** KEPT (pick-wt=24): 39 [] 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)).
% 3.09/3.23  ** KEPT (pick-wt=17): 41 [copy,40,flip.4] -relation_of2_as_subset(A,B,C)|C=empty_set| -quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)=B.
% 3.09/3.23  ** KEPT (pick-wt=17): 43 [copy,42,flip.4] -relation_of2_as_subset(A,B,C)|C=empty_set|quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)!=B.
% 3.09/3.23  ** KEPT (pick-wt=17): 45 [copy,44,flip.4] -relation_of2_as_subset(A,B,C)|B!=empty_set| -quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)=B.
% 3.09/3.23  ** KEPT (pick-wt=17): 47 [copy,46,flip.4] -relation_of2_as_subset(A,B,C)|B!=empty_set|quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)!=B.
% 3.09/3.23  ** KEPT (pick-wt=17): 48 [] -relation_of2_as_subset(A,B,C)|C!=empty_set|B=empty_set| -quasi_total(A,B,C)|A=empty_set.
% 3.09/3.23  ** KEPT (pick-wt=17): 49 [] -relation_of2_as_subset(A,B,C)|C!=empty_set|B=empty_set|quasi_total(A,B,C)|A!=empty_set.
% 3.09/3.23  ** KEPT (pick-wt=25): 50 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|element($f6(A,B,C),the_carrier(B)).
% 3.09/3.23  ** KEPT (pick-wt=40): 52 [copy,51,flip.7] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,$f6(A,B,C))),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,$f6(A,B,C))))=C.
% 3.09/3.23  ** KEPT (pick-wt=38): 53 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))|netstr_induced_subset(C,A,B)| -element(D,the_carrier(B))|C!=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,D)),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,D))).
% 3.09/3.23  ** KEPT (pick-wt=11): 54 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 3.09/3.23  ** KEPT (pick-wt=11): 55 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 3.09/3.23  ** KEPT (pick-wt=14): 56 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 3.09/3.23  ** KEPT (pick-wt=23): 57 [] A=set_intersection2(B,C)| -in($f7(B,C,A),A)| -in($f7(B,C,A),B)| -in($f7(B,C,A),C).
% 3.09/3.23  ** KEPT (pick-wt=18): 58 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f8(A,B,C),relation_dom(A)).
% 3.09/3.23  ** KEPT (pick-wt=19): 60 [copy,59,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f8(A,B,C))=C.
% 3.09/3.23  ** KEPT (pick-wt=20): 61 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 3.09/3.23  ** KEPT (pick-wt=19): 62 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|in($f9(A,B),relation_dom(A)).
% 3.09/3.23  ** KEPT (pick-wt=22): 64 [copy,63,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f10(A,B),B)|apply(A,$f9(A,B))=$f10(A,B).
% 3.09/3.23  ** KEPT (pick-wt=24): 65 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f10(A,B),B)| -in(C,relation_dom(A))|$f10(A,B)!=apply(A,C).
% 3.09/3.23  ** KEPT (pick-wt=8): 66 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 3.09/3.23  ** KEPT (pick-wt=8): 67 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 3.09/3.23  ** KEPT (pick-wt=25): 68 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 3.09/3.23  ** KEPT (pick-wt=27): 69 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))| -is_a_cluster_point_of_netstr(A,B,C)| -point_neighbourhood(D,A,C)|is_often_in(A,B,D).
% 3.09/3.23  ** KEPT (pick-wt=26): 70 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(A))|is_a_cluster_point_of_netstr(A,B,C)|point_neighbourhood($f11(A,B,C),A,C).
% 3.09/3.23  ** 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)| -is_often_in(A,B,$f11(A,B,C)).
% 3.09/3.23  ** KEPT (pick-wt=25): 72 [] -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).
% 3.09/3.23  ** KEPT (pick-wt=25): 73 [] -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).
% 3.09/3.23  ** KEPT (pick-wt=8): 74 [] -one_sorted_str(A)|element(empty_carrier_subset(A),powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=14): 75 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=34): 76 [] 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)).
% 3.09/3.23  ** KEPT (pick-wt=20): 77 [] 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)).
% 3.09/3.23  ** KEPT (pick-wt=11): 78 [] -relation_of2(A,B,C)|element(relation_dom_as_subset(B,C,A),powerset(B)).
% 3.09/3.23  ** KEPT (pick-wt=11): 79 [] -relation_of2(A,B,C)|element(relation_rng_as_subset(B,C,A),powerset(C)).
% 3.09/3.23  ** KEPT (pick-wt=15): 80 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_intersection2(B,A,C),powerset(B)).
% 3.09/3.23  ** KEPT (pick-wt=19): 81 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23  ** KEPT (pick-wt=19): 82 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23  ** KEPT (pick-wt=14): 83 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=23): 84 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(subnetstr_of_element(A,B,C),A).
% 3.09/3.23  ** KEPT (pick-wt=24): 85 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnet(subnetstr_of_element(A,B,C),A,B).
% 3.09/3.23  ** KEPT (pick-wt=4): 86 [] -rel_str(A)|one_sorted_str(A).
% 3.09/3.23  ** KEPT (pick-wt=4): 87 [] -top_str(A)|one_sorted_str(A).
% 3.09/3.23  ** KEPT (pick-wt=7): 88 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 3.09/3.23  ** KEPT (pick-wt=19): 89 [] 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))).
% 3.09/3.23  ** KEPT (pick-wt=18): 90 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -netstr_induced_subset(C,A,B)|element(C,powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=10): 91 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 3.09/3.23  ** KEPT (pick-wt=19): 92 [] 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).
% 3.09/3.23  ** KEPT (pick-wt=19): 93 [] 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).
% 3.09/3.23  ** KEPT (pick-wt=19): 94 [] 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).
% 3.09/3.23  ** KEPT (pick-wt=20): 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)|net_str(C,A).
% 3.09/3.23  ** KEPT (pick-wt=9): 96 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 3.09/3.23  ** KEPT (pick-wt=9): 97 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=13): 98 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.09/3.23  ** KEPT (pick-wt=13): 99 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 3.09/3.23  ** KEPT (pick-wt=6): 100 [] -one_sorted_str(A)|net_str($f12(A),A).
% 3.09/3.23  ** KEPT (pick-wt=16): 101 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,the_carrier(A))|point_neighbourhood($f13(A,B),A,B).
% 3.09/3.23  ** KEPT (pick-wt=15): 102 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|netstr_induced_subset($f16(A,B),A,B).
% 3.09/3.23  ** KEPT (pick-wt=19): 103 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f18(A,B),A,B).
% 3.09/3.23  ** KEPT (pick-wt=6): 104 [] -finite(A)|finite(set_intersection2(B,A)).
% 3.09/3.23  ** KEPT (pick-wt=14): 105 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|empty(interior(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=14): 106 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v1_membered(interior(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=14): 107 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v2_membered(interior(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=14): 108 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v3_membered(interior(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=14): 109 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v4_membered(interior(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=14): 110 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|v5_membered(interior(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=15): 111 [] -top_str(A)| -boundary_set(B,A)| -element(B,powerset(the_carrier(A)))|boundary_set(interior(A,B),A).
% 3.09/3.23  ** KEPT (pick-wt=6): 112 [] -finite(A)|finite(set_intersection2(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=8): 113 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=13): 114 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=13): 115 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 3.09/3.23    Following clause subsumed by 97 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 3.09/3.23    Following clause subsumed by 98 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)).
% 3.09/3.23  ** KEPT (pick-wt=5): 116 [] -one_sorted_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 117 [] -one_sorted_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 118 [] -one_sorted_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 119 [] -one_sorted_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 120 [] -one_sorted_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 121 [] -one_sorted_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=8): 122 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=7): 123 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 3.09/3.23  ** KEPT (pick-wt=3): 124 [] -empty(powerset(A)).
% 3.09/3.23  ** KEPT (pick-wt=7): 125 [] -topological_space(A)| -top_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=8): 126 [] -topological_space(A)| -top_str(A)|closed_subset(empty_carrier_subset(A),A).
% 3.09/3.23  ** KEPT (pick-wt=7): 127 [] -topological_space(A)| -top_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=7): 128 [] -topological_space(A)| -top_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=7): 129 [] -topological_space(A)| -top_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=7): 130 [] -topological_space(A)| -top_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=7): 131 [] -topological_space(A)| -top_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 132 [] -rel_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=6): 133 [] -rel_str(A)|strongly_connected_rel_subset(empty_carrier_subset(A),A).
% 3.09/3.23  ** KEPT (pick-wt=5): 134 [] -rel_str(A)|finite(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 135 [] -rel_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 136 [] -rel_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 137 [] -rel_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 138 [] -rel_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 139 [] -rel_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=6): 140 [] -rel_str(A)|directed_subset(empty_carrier_subset(A),A).
% 3.09/3.23  ** KEPT (pick-wt=6): 141 [] -rel_str(A)|filtered_subset(empty_carrier_subset(A),A).
% 3.09/3.23  ** KEPT (pick-wt=20): 142 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 3.09/3.23    Following clause subsumed by 81 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23    Following clause subsumed by 142 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 3.09/3.23  ** KEPT (pick-wt=22): 143 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|transitive_relstr(netstr_restr_to_element(A,B,C)).
% 3.09/3.23    Following clause subsumed by 81 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 3.09/3.23  ** KEPT (pick-wt=22): 144 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|directed_relstr(netstr_restr_to_element(A,B,C)).
% 3.09/3.23  ** KEPT (pick-wt=14): 145 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 3.09/3.23  ** KEPT (pick-wt=8): 146 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=7): 147 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 3.09/3.23  ** KEPT (pick-wt=7): 148 [] -top_str(A)|empty(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  ** KEPT (pick-wt=7): 149 [] -top_str(A)|v1_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  ** KEPT (pick-wt=7): 150 [] -top_str(A)|v2_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  ** KEPT (pick-wt=7): 151 [] -top_str(A)|v3_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  ** KEPT (pick-wt=7): 152 [] -top_str(A)|v4_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  ** KEPT (pick-wt=7): 153 [] -top_str(A)|v5_membered(interior(A,empty_carrier_subset(A))).
% 3.09/3.23  ** KEPT (pick-wt=7): 154 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 3.09/3.23  ** KEPT (pick-wt=14): 155 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 3.09/3.23  ** KEPT (pick-wt=26): 156 [] -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)).
% 3.09/3.23    Following clause subsumed by 72 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).
% 3.09/3.23  ** KEPT (pick-wt=5): 157 [] -empty(A)|empty(relation_dom(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 158 [] -empty(A)|relation(relation_dom(A)).
% 3.09/3.23    Following clause subsumed by 125 during input processing: 0 [] -topological_space(A)| -top_str(A)|empty(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=8): 159 [] -topological_space(A)| -top_str(A)|open_subset(empty_carrier_subset(A),A).
% 3.09/3.23    Following clause subsumed by 126 during input processing: 0 [] -topological_space(A)| -top_str(A)|closed_subset(empty_carrier_subset(A),A).
% 3.09/3.23    Following clause subsumed by 127 during input processing: 0 [] -topological_space(A)| -top_str(A)|v1_membered(empty_carrier_subset(A)).
% 3.09/3.23    Following clause subsumed by 128 during input processing: 0 [] -topological_space(A)| -top_str(A)|v2_membered(empty_carrier_subset(A)).
% 3.09/3.23    Following clause subsumed by 129 during input processing: 0 [] -topological_space(A)| -top_str(A)|v3_membered(empty_carrier_subset(A)).
% 3.09/3.23    Following clause subsumed by 130 during input processing: 0 [] -topological_space(A)| -top_str(A)|v4_membered(empty_carrier_subset(A)).
% 3.09/3.23    Following clause subsumed by 131 during input processing: 0 [] -topological_space(A)| -top_str(A)|v5_membered(empty_carrier_subset(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 160 [] -empty(A)|empty(relation_rng(A)).
% 3.09/3.23  ** KEPT (pick-wt=5): 161 [] -empty(A)|relation(relation_rng(A)).
% 3.09/3.23  ** KEPT (pick-wt=27): 162 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -in(D,a_3_0_waybel_9(A,B,C))|element($f19(D,A,B,C),the_carrier(B)).
% 3.09/3.23  ** KEPT (pick-wt=26): 164 [copy,163,flip.7] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -in(D,a_3_0_waybel_9(A,B,C))|$f19(D,A,B,C)=D.
% 3.09/3.23  ** KEPT (pick-wt=27): 165 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -in(D,a_3_0_waybel_9(A,B,C))|related(B,C,$f19(D,A,B,C)).
% 3.09/3.23  ** KEPT (pick-wt=30): 166 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|in(D,a_3_0_waybel_9(A,B,C))| -element(E,the_carrier(B))|D!=E| -related(B,C,E).
% 3.09/3.23  ** KEPT (pick-wt=33): 167 [] 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(B))| -in(D,a_3_3_yellow19(A,B,C))|element($f20(D,A,B,C),the_carrier(B)).
% 3.09/3.23  ** KEPT (pick-wt=32): 169 [copy,168,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -in(D,a_3_3_yellow19(A,B,C))|$f20(D,A,B,C)=D.
% 3.09/3.23  ** KEPT (pick-wt=33): 170 [] 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(B))| -in(D,a_3_3_yellow19(A,B,C))|related(B,C,$f20(D,A,B,C)).
% 3.09/3.23  ** KEPT (pick-wt=36): 171 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|in(D,a_3_3_yellow19(A,B,C))| -element(E,the_carrier(B))|D!=E| -related(B,C,E).
% 3.09/3.23  ** KEPT (pick-wt=32): 172 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|A=E.
% 3.09/3.23  ** KEPT (pick-wt=32): 173 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|C=F.
% 3.09/3.23  ** KEPT (pick-wt=32): 174 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|B=G.
% 3.09/3.23  ** KEPT (pick-wt=32): 175 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|D=H.
% 3.09/3.23  ** KEPT (pick-wt=10): 177 [copy,176,factor_simp] -element(A,powerset(B))|subset_intersection2(B,A,A)=A.
% 3.09/3.23  ** KEPT (pick-wt=2): 178 [] -empty($c4).
% 3.09/3.23  ** KEPT (pick-wt=5): 179 [] empty(A)| -empty($f21(A)).
% 3.09/3.23  ** KEPT (pick-wt=10): 180 [] -topological_space(A)| -top_str(A)|element($f22(A),powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=8): 181 [] -topological_space(A)| -top_str(A)|open_subset($f22(A),A).
% 3.09/3.23  ** KEPT (pick-wt=8): 182 [] -rel_str(A)|element($f23(A),powerset(the_carrier(A))).
% 3.09/3.23  ** KEPT (pick-wt=6): 183 [] -rel_str(A)|directed_subset($f23(A),A).
% 3.09/3.23  ** KEPT (pick-wt=6): 184 [] -rel_str(A)|filtered_subset($f23(A),A).
% 3.09/3.23  ** KEPT (pick-wt=19): 185 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f24(A,B),A,B).
% 3.09/3.23  ** KEPT (pick-wt=17): 186 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f24(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=17): 187 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f24(A,B)).
% 3.09/3.23  ** KEPT (pick-wt=18): 188 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f24(A,B),A).
% 3.09/3.24  ** KEPT (pick-wt=17): 189 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f24(A,B)).
% 3.09/3.24  ** KEPT (pick-wt=2): 190 [] -empty($c6).
% 3.09/3.24  ** KEPT (pick-wt=10): 191 [] -topological_space(A)| -top_str(A)|element($f26(A),powerset(the_carrier(A))).
% 3.09/3.24  ** KEPT (pick-wt=8): 192 [] -topological_space(A)| -top_str(A)|open_subset($f26(A),A).
% 3.09/3.24  ** KEPT (pick-wt=8): 193 [] -topological_space(A)| -top_str(A)|closed_subset($f26(A),A).
% 3.09/3.24  ** KEPT (pick-wt=3): 194 [] -empty($f27(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 195 [] empty(A)| -empty($f28(A)).
% 3.09/3.24  ** KEPT (pick-wt=2): 196 [] -empty_carrier($c8).
% 3.09/3.24  ** KEPT (pick-wt=12): 197 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f29(A),powerset(the_carrier(A))).
% 3.09/3.24  ** KEPT (pick-wt=9): 198 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f29(A)).
% 3.09/3.24  ** KEPT (pick-wt=10): 199 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f29(A),A).
% 3.09/3.24  ** KEPT (pick-wt=10): 200 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f29(A),A).
% 3.09/3.24  ** KEPT (pick-wt=9): 201 [] -one_sorted_str(A)|element($f30(A),powerset(powerset(the_carrier(A)))).
% 3.09/3.24  ** KEPT (pick-wt=5): 202 [] -one_sorted_str(A)| -empty($f30(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 203 [] -one_sorted_str(A)|finite($f30(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 204 [] empty(A)| -empty($f31(A)).
% 3.09/3.24  ** KEPT (pick-wt=8): 205 [] -top_str(A)|element($f32(A),powerset(the_carrier(A))).
% 3.09/3.24  ** KEPT (pick-wt=5): 206 [] -top_str(A)|empty($f32(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 207 [] -top_str(A)|v1_membered($f32(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 208 [] -top_str(A)|v2_membered($f32(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 209 [] -top_str(A)|v3_membered($f32(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 210 [] -top_str(A)|v4_membered($f32(A)).
% 3.09/3.24  ** KEPT (pick-wt=5): 211 [] -top_str(A)|v5_membered($f32(A)).
% 3.09/3.24  ** KEPT (pick-wt=6): 212 [] -top_str(A)|boundary_set($f32(A),A).
% 3.09/3.24  ** KEPT (pick-wt=6): 213 [] -one_sorted_str(A)|net_str($f33(A),A).
% 3.09/3.24  ** KEPT (pick-wt=6): 214 [] -one_sorted_str(A)|strict_net_str($f33(A),A).
% 3.09/3.24  ** KEPT (pick-wt=10): 215 [] empty_carrier(A)| -one_sorted_str(A)|element($f34(A),powerset(the_carrier(A))).
% 3.09/3.24  ** KEPT (pick-wt=7): 216 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f34(A)).
% 3.09/3.24  ** KEPT (pick-wt=10): 217 [] -topological_space(A)| -top_str(A)|element($f35(A),powerset(the_carrier(A))).
% 3.09/3.24  ** KEPT (pick-wt=7): 218 [] -topological_space(A)| -top_str(A)|empty($f35(A)).
% 3.09/3.24  ** KEPT (pick-wt=8): 219 [] -topological_space(A)| -top_str(A)|open_subset($f35(A),A).
% 3.09/3.24  ** KEPT (pick-wt=8): 220 [] -topological_space(A)| -top_str(A)|closed_subset($f35(A),A).
% 3.09/3.24  ** KEPT (pick-wt=7): 221 [] -topological_space(A)| -top_str(A)|v1_membered($f35(A)).
% 3.09/3.24  ** KEPT (pick-wt=7): 222 [] -topological_space(A)| -top_str(A)|v2_membered($f35(A)).
% 3.09/3.24  ** KEPT (pick-wt=7): 223 [] -topological_space(A)| -top_str(A)|v3_membered($f35(A)).
% 3.09/3.24  ** KEPT (pick-wt=7): 224 [] -topological_space(A)| -top_str(A)|v4_membered($f35(A)).
% 3.09/3.24  ** KEPT (pick-wt=7): 225 [] -topological_space(A)| -top_str(A)|v5_membered($f35(A)).
% 3.09/3.24  ** KEPT (pick-wt=8): 226 [] -topological_space(A)| -top_str(A)|boundary_set($f35(A),A).
% 3.09/3.24  ** KEPT (pick-wt=8): 227 [] -topological_space(A)| -top_str(A)|nowhere_dense($f35(A),A).
% 3.09/3.24  ** KEPT (pick-wt=10): 228 [] -topological_space(A)| -top_str(A)|element($f36(A),powerset(the_carrier(A))).
% 3.09/3.24  ** KEPT (pick-wt=8): 229 [] -topological_space(A)| -top_str(A)|closed_subset($f36(A),A).
% 3.09/3.24  ** KEPT (pick-wt=12): 230 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f37(A),powerset(the_carrier(A))).
% 3.09/3.24  ** KEPT (pick-wt=9): 231 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f37(A)).
% 3.09/3.24  ** KEPT (pick-wt=10): 232 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f37(A),A).
% 3.09/3.24  ** KEPT (pick-wt=35): 233 [] 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).
% 3.09/3.24  ** KEPT (pick-wt=11): 234 [] -relation_of2(A,B,C)|relation_dom_as_subset(B,C,A)=relation_dom(A).
% 3.11/3.25  ** KEPT (pick-wt=11): 235 [] -relation_of2(A,B,C)|relation_rng_as_subset(B,C,A)=relation_rng(A).
% 3.11/3.25  ** KEPT (pick-wt=16): 236 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_intersection2(B,A,C)=set_intersection2(A,C).
% 3.11/3.25  ** KEPT (pick-wt=26): 237 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnetstr_of_element(A,B,C)=netstr_restr_to_element(A,B,C).
% 3.11/3.25  ** KEPT (pick-wt=8): 238 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 3.11/3.25  ** KEPT (pick-wt=8): 239 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 3.11/3.25  ** KEPT (pick-wt=6): 240 [] -disjoint(A,B)|disjoint(B,A).
% 3.11/3.25  ** KEPT (pick-wt=23): 241 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|the_carrier(netstr_restr_to_element(A,B,C))=a_3_0_waybel_9(A,B,C).
% 3.11/3.25  ** KEPT (pick-wt=41): 242 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -element(D,the_carrier(B))| -element(E,the_carrier(netstr_restr_to_element(A,B,C)))|D!=E|apply_netmap(A,B,D)=apply_netmap(A,netstr_restr_to_element(A,B,C),E).
% 3.11/3.25  ** KEPT (pick-wt=6): 243 [] -in(A,B)|element(A,B).
% 3.11/3.25  ** KEPT (pick-wt=25): 244 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))| -empty_carrier($f38(A,B,C)).
% 3.11/3.25  ** KEPT (pick-wt=25): 245 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|transitive_relstr($f38(A,B,C)).
% 3.11/3.25  ** KEPT (pick-wt=25): 246 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|directed_relstr($f38(A,B,C)).
% 3.11/3.25  ** KEPT (pick-wt=26): 247 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|net_str($f38(A,B,C),A).
% 3.11/3.25  ** KEPT (pick-wt=27): 248 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|is_eventually_in(A,$f38(A,B,C),B).
% 3.11/3.25  ** KEPT (pick-wt=27): 249 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))| -in(C,topstr_closure(A,B))|is_a_cluster_point_of_netstr(A,$f38(A,B,C),C).
% 3.11/3.25  ** KEPT (pick-wt=37): 250 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -element(C,the_carrier(A))|in(C,topstr_closure(A,B))|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).
% 3.11/3.25  ** KEPT (pick-wt=8): 251 [] -element(A,B)|empty(B)|in(A,B).
% 3.11/3.25  ** KEPT (pick-wt=13): 252 [] -in($f39(A,B),A)| -in($f39(A,B),B)|A=B.
% 3.11/3.25  ** KEPT (pick-wt=2): 253 [] -empty_carrier($c12).
% 3.11/3.25  ** KEPT (pick-wt=2): 254 [] -empty_carrier($c11).
% 3.11/3.25  ** KEPT (pick-wt=13): 255 [] is_a_cluster_point_of_netstr($c12,$c11,$c10)| -netstr_induced_subset(A,$c12,$c11)|in($c10,topstr_closure($c12,A)).
% 3.11/3.25  ** KEPT (pick-wt=8): 256 [] -is_a_cluster_point_of_netstr($c12,$c11,$c10)|netstr_induced_subset($c9,$c12,$c11).
% 3.11/3.25  ** KEPT (pick-wt=9): 257 [] -is_a_cluster_point_of_netstr($c12,$c11,$c10)| -in($c10,topstr_closure($c12,$c9)).
% 3.11/3.25  ** KEPT (pick-wt=7): 258 [] -element(A,powerset(B))|subset(A,B).
% 3.11/3.25  ** KEPT (pick-wt=7): 259 [] element(A,powerset(B))| -subset(A,B).
% 3.11/3.25  ** KEPT (pick-wt=12): 260 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|subset(interior(A,B),B).
% 3.11/3.25  ** KEPT (pick-wt=10): 261 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 3.11/3.25  ** KEPT (pick-wt=9): 262 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 3.11/3.25  ** KEPT (pick-wt=5): 263 [] -empty(A)|A=empty_set.
% 3.11/3.25  ** KEPT (pick-wt=5): 264 [] -in(A,B)| -empty(B).
% 3.11/3.25  ** KEPT (pick-wt=7): 265 [] -empty(A)|A=B| -empty(B).
% 3.11/3.25  ** KEPT (pick-wt=21): 266 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -netstr_induced_subset(C,A,B)|is_eventually_in(A,B,C).
% 3.18/3.35  
% 3.18/3.35  ------------> process sos:
% 3.18/3.35  ** KEPT (pick-wt=3): 369 [] A=A.
% 3.18/3.35  ** KEPT (pick-wt=7): 370 [] set_intersection2(A,B)=set_intersection2(B,A).
% 3.18/3.35  ** KEPT (pick-wt=17): 371 [] A=set_intersection2(B,C)|in($f7(B,C,A),A)|in($f7(B,C,A),B).
% 3.18/3.35  ** KEPT (pick-wt=17): 372 [] A=set_intersection2(B,C)|in($f7(B,C,A),A)|in($f7(B,C,A),C).
% 3.18/3.35  ** KEPT (pick-wt=2): 373 [] rel_str($c1).
% 3.18/3.35  ** KEPT (pick-wt=2): 374 [] top_str($c2).
% 3.18/3.35  ** KEPT (pick-wt=2): 375 [] one_sorted_str($c3).
% 3.18/3.35  ** KEPT (pick-wt=6): 376 [] relation_of2($f14(A,B),A,B).
% 3.18/3.35  ** KEPT (pick-wt=4): 377 [] element($f15(A),A).
% 3.18/3.35  ** KEPT (pick-wt=6): 378 [] relation_of2_as_subset($f17(A,B),A,B).
% 3.18/3.35  ** KEPT (pick-wt=2): 379 [] empty(empty_set).
% 3.18/3.35  ** KEPT (pick-wt=2): 380 [] relation(empty_set).
% 3.18/3.35  ** KEPT (pick-wt=2): 381 [] relation_empty_yielding(empty_set).
% 3.18/3.35    Following clause subsumed by 379 during input processing: 0 [] empty(empty_set).
% 3.18/3.35    Following clause subsumed by 380 during input processing: 0 [] relation(empty_set).
% 3.18/3.35  ** KEPT (pick-wt=5): 382 [] set_intersection2(A,A)=A.
% 3.18/3.35  ---> New Demodulator: 383 [new_demod,382] set_intersection2(A,A)=A.
% 3.18/3.35  ** KEPT (pick-wt=2): 384 [] finite($c4).
% 3.18/3.35  ** KEPT (pick-wt=2): 385 [] empty($c5).
% 3.18/3.35  ** KEPT (pick-wt=2): 386 [] relation($c5).
% 3.18/3.35  ** KEPT (pick-wt=7): 387 [] empty(A)|element($f21(A),powerset(A)).
% 3.18/3.35  ** KEPT (pick-wt=2): 388 [] relation($c6).
% 3.18/3.35  ** KEPT (pick-wt=5): 389 [] element($f25(A),powerset(A)).
% 3.18/3.35  ** KEPT (pick-wt=3): 390 [] empty($f25(A)).
% 3.18/3.35  ** KEPT (pick-wt=6): 391 [] element($f27(A),powerset(powerset(A))).
% 3.18/3.35  ** KEPT (pick-wt=3): 392 [] finite($f27(A)).
% 3.18/3.35  ** KEPT (pick-wt=7): 393 [] empty(A)|element($f28(A),powerset(A)).
% 3.18/3.35  ** KEPT (pick-wt=5): 394 [] empty(A)|finite($f28(A)).
% 3.18/3.35  ** KEPT (pick-wt=2): 395 [] relation($c7).
% 3.18/3.35  ** KEPT (pick-wt=2): 396 [] relation_empty_yielding($c7).
% 3.18/3.35  ** KEPT (pick-wt=2): 397 [] one_sorted_str($c8).
% 3.18/3.35  ** KEPT (pick-wt=7): 398 [] empty(A)|element($f31(A),powerset(A)).
% 3.18/3.35  ** KEPT (pick-wt=5): 399 [] empty(A)|finite($f31(A)).
% 3.18/3.35  ** KEPT (pick-wt=3): 400 [] subset(A,A).
% 3.18/3.35  ** KEPT (pick-wt=5): 401 [] set_intersection2(A,empty_set)=empty_set.
% 3.18/3.35  ---> New Demodulator: 402 [new_demod,401] set_intersection2(A,empty_set)=empty_set.
% 3.18/3.35  ** KEPT (pick-wt=13): 403 [] in($f39(A,B),A)|in($f39(A,B),B)|A=B.
% 3.18/3.35  ** KEPT (pick-wt=2): 404 [] topological_space($c12).
% 3.18/3.35  ** KEPT (pick-wt=2): 405 [] top_str($c12).
% 3.18/3.35  ** KEPT (pick-wt=2): 406 [] transitive_relstr($c11).
% 3.18/3.35  ** KEPT (pick-wt=2): 407 [] directed_relstr($c11).
% 3.18/3.35  ** KEPT (pick-wt=3): 408 [] net_str($c11,$c12).
% 3.18/3.35  ** KEPT (pick-wt=4): 409 [] element($c10,the_carrier($c12)).
% 3.18/3.35    Following clause subsumed by 369 during input processing: 0 [copy,369,flip.1] A=A.
% 3.18/3.35  369 back subsumes 356.
% 3.18/3.35  369 back subsumes 355.
% 3.18/3.35  369 back subsumes 268.
% 3.18/3.35    Following clause subsumed by 370 during input processing: 0 [copy,370,flip.1] set_intersection2(A,B)=set_intersection2(B,A).
% 3.18/3.35  >>>> Starting back demodulation with 383.
% 3.18/3.35      >> back demodulating 364 with 383.
% 3.18/3.35      >> back demodulating 349 with 383.
% 3.18/3.35      >> back demodulating 323 with 383.
% 3.18/3.35      >> back demodulating 298 with 383.
% 3.18/3.35      >> back demodulating 295 with 383.
% 3.18/3.35  >>>> Starting back demodulation with 402.
% 3.18/3.35  
% 3.18/3.35  ======= end of input processing =======
% 3.18/3.35  
% 3.18/3.35  =========== start of search ===========
% 3.18/3.35  
% 3.18/3.35  
% 3.18/3.35  Resetting weight limit to 2.
% 3.18/3.35  
% 3.18/3.35  
% 3.18/3.35  Resetting weight limit to 2.
% 3.18/3.35  
% 3.18/3.35  sos_size=42
% 3.18/3.35  
% 3.18/3.35  Search stopped because sos empty.
% 3.18/3.35  
% 3.18/3.35  
% 3.18/3.35  Search stopped because sos empty.
% 3.18/3.35  
% 3.18/3.35  ============ end of search ============
% 3.18/3.35  
% 3.18/3.35  -------------- statistics -------------
% 3.18/3.35  clauses given                 50
% 3.18/3.35  clauses generated           7325
% 3.18/3.35  clauses kept                 407
% 3.18/3.35  clauses forward subsumed      74
% 3.18/3.35  clauses back subsumed          3
% 3.18/3.35  Kbytes malloced             5859
% 3.18/3.35  
% 3.18/3.35  ----------- times (seconds) -----------
% 3.18/3.35  user CPU time          0.13          (0 hr, 0 min, 0 sec)
% 3.18/3.35  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 3.18/3.35  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 3.18/3.35  
% 3.18/3.35  Process 12798 finished Wed Jul 27 07:26:39 2022
% 3.18/3.35  Otter interrupted
% 3.18/3.35  PROOF NOT FOUND
%------------------------------------------------------------------------------