%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n026.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 13:16:06 EDT 2022

% Result   : Unknown 2.96s 3.13s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n026.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 08:10:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.46/2.65  ----- Otter 3.3f, August 2004 -----
% 2.46/2.65  The process was started by sandbox on n026.cluster.edu,
% 2.46/2.65  Wed Jul 27 08:10:39 2022
% 2.46/2.65  The command was "./otter".  The process ID is 1034.
% 2.46/2.65  
% 2.46/2.65  set(prolog_style_variables).
% 2.46/2.65  set(auto).
% 2.46/2.65     dependent: set(auto1).
% 2.46/2.65     dependent: set(process_input).
% 2.46/2.65     dependent: clear(print_kept).
% 2.46/2.65     dependent: clear(print_new_demod).
% 2.46/2.65     dependent: clear(print_back_demod).
% 2.46/2.65     dependent: clear(print_back_sub).
% 2.46/2.65     dependent: set(control_memory).
% 2.46/2.65     dependent: assign(max_mem, 12000).
% 2.46/2.65     dependent: assign(pick_given_ratio, 4).
% 2.46/2.65     dependent: assign(stats_level, 1).
% 2.46/2.65     dependent: assign(max_seconds, 10800).
% 2.46/2.65  clear(print_given).
% 2.46/2.65  
% 2.46/2.65  formula_list(usable).
% 2.46/2.65  all A (A=A).
% 2.46/2.65  -(all A B C (-empty_carrier(A)&topological_space(A)&top_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all D exists E all F (in(F,E)<->in(F,the_carrier(B))& (exists G (netstr_induced_subset(G,A,B)& (exists H (element(H,the_carrier(B))&D=topstr_closure(A,G)&F=H&G=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))))))))))).
% 2.46/2.65  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)))).
% 2.46/2.65  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)))).
% 2.46/2.65  exists A (-empty(A)&finite(A)).
% 2.46/2.65  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.46/2.65  all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.46/2.65  all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 2.46/2.65  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.46/2.65  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)))).
% 2.46/2.65  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)&closed_subset(B,A)))).
% 2.46/2.65  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)))).
% 2.46/2.65  all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (nowhere_dense(B,A)->boundary_set(B,A))))).
% 2.46/2.65  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))))).
% 2.46/2.65  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))))).
% 2.46/2.65  all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 2.46/2.65  all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 2.46/2.65  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))).
% 2.46/2.65  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)).
% 2.46/2.65  $T.
% 2.46/2.65  all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.46/2.65  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.46/2.65  all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.46/2.65  all A exists B (element(B,powerset(A))&empty(B)).
% 2.46/2.65  all A (empty(A)->finite(A)).
% 2.46/2.65  all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.46/2.65  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 2.46/2.65  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)))).
% 2.46/2.65  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))))).
% 2.46/2.68  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->boundary_set(B,A))))).
% 2.46/2.68  all A (topological_space(A)&top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (empty(B)->nowhere_dense(B,A))))).
% 2.46/2.68  all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.46/2.68  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)).
% 2.46/2.68  exists A (empty(A)&relation(A)).
% 2.46/2.68  all A (empty(A)->relation(A)).
% 2.46/2.68  exists A (-empty(A)&relation(A)).
% 2.46/2.68  all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.46/2.68  all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.46/2.68  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)))).
% 2.46/2.68  all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.46/2.68  $T.
% 2.46/2.68  $T.
% 2.46/2.68  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)).
% 2.46/2.68  all A (rel_str(A)->one_sorted_str(A)).
% 2.46/2.68  $T.
% 2.46/2.68  $T.
% 2.46/2.68  all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.46/2.68  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)))).
% 2.46/2.68  all A (-empty(powerset(A))).
% 2.46/2.68  exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.46/2.68  all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.46/2.68  all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->closed_subset(topstr_closure(A,B),A)).
% 2.46/2.68  all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 2.46/2.68  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)).
% 2.46/2.68  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))).
% 2.46/2.68  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)))).
% 2.46/2.68  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))).
% 2.46/2.68  all A B (in(A,B)-> -in(B,A)).
% 2.46/2.68  all A B C (relation_of2(C,A,B)->relation_rng_as_subset(A,B,C)=relation_rng(C)).
% 2.46/2.68  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)).
% 2.46/2.68  all A B C (relation_of2(C,A,B)->element(relation_rng_as_subset(A,B,C),powerset(B))).
% 2.46/2.68  all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(topstr_closure(A,B),powerset(the_carrier(A)))).
% 2.46/2.68  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)).
% 2.46/2.68  all A (top_str(A)->one_sorted_str(A)).
% 2.46/2.68  all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 2.46/2.68  $T.
% 2.46/2.68  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)))))).
% 2.46/2.68  $T.
% 2.46/2.68  all A B (one_sorted_str(A)&net_str(B,A)->function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))&relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 2.46/2.68  all A B C (-empty_carrier(A)&topological_space(A)&top_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all D ((all E F G (E=F& (exists H (netstr_induced_subset(H,A,B)& (exists I (element(I,the_carrier(B))&D=topstr_closure(A,H)&F=I&H=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,I)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,I)))))))&E=G& (exists J (netstr_induced_subset(J,A,B)& (exists K (element(K,the_carrier(B))&D=topstr_closure(A,J)&G=K&J=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,K)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,K)))))))->F=G))-> (exists E all F (in(F,E)<-> (exists G (in(G,the_carrier(B))&G=F& (exists L (netstr_induced_subset(L,A,B)& (exists M (element(M,the_carrier(B))&D=topstr_closure(A,L)&F=M&L=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M)))))))))))))).
% 2.46/2.68  end_of_list.
% 2.46/2.68  
% 2.46/2.68  -------> usable clausifies to:
% 2.46/2.68  
% 2.46/2.68  list(usable).
% 2.46/2.68  0 [] A=A.
% 2.46/2.68  0 [] -empty_carrier($c4).
% 2.46/2.68  0 [] topological_space($c4).
% 2.46/2.68  0 [] top_str($c4).
% 2.46/2.68  0 [] -empty_carrier($c3).
% 2.46/2.68  0 [] transitive_relstr($c3).
% 2.46/2.68  0 [] directed_relstr($c3).
% 2.46/2.68  0 [] net_str($c3,$c4).
% 2.46/2.68  0 [] in($f3(E),E)|in($f3(E),the_carrier($c3)).
% 2.46/2.68  0 [] in($f3(E),E)|netstr_induced_subset($f2(E),$c4,$c3).
% 2.46/2.68  0 [] in($f3(E),E)|element($f1(E),the_carrier($c3)).
% 2.46/2.68  0 [] in($f3(E),E)|$c1=topstr_closure($c4,$f2(E)).
% 2.46/2.68  0 [] in($f3(E),E)|$f3(E)=$f1(E).
% 2.46/2.68  0 [] in($f3(E),E)|$f2(E)=relation_rng_as_subset(the_carrier(subnetstr_of_element($c4,$c3,$f1(E))),the_carrier($c4),the_mapping($c4,subnetstr_of_element($c4,$c3,$f1(E)))).
% 2.46/2.68  0 [] -in($f3(E),E)| -in($f3(E),the_carrier($c3))| -netstr_induced_subset(G,$c4,$c3)| -element(H,the_carrier($c3))|$c1!=topstr_closure($c4,G)|$f3(E)!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element($c4,$c3,H)),the_carrier($c4),the_mapping($c4,subnetstr_of_element($c4,$c3,H))).
% 2.46/2.68  0 [] -top_str(A)|element($f4(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] -top_str(A)|empty($f4(A)).
% 2.46/2.68  0 [] -top_str(A)|v1_membered($f4(A)).
% 2.46/2.68  0 [] -top_str(A)|v2_membered($f4(A)).
% 2.46/2.68  0 [] -top_str(A)|v3_membered($f4(A)).
% 2.46/2.68  0 [] -top_str(A)|v4_membered($f4(A)).
% 2.46/2.68  0 [] -top_str(A)|v5_membered($f4(A)).
% 2.46/2.68  0 [] -top_str(A)|boundary_set($f4(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|element($f5(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|empty($f5(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|open_subset($f5(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|closed_subset($f5(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|v1_membered($f5(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|v2_membered($f5(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|v3_membered($f5(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|v4_membered($f5(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|v5_membered($f5(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|boundary_set($f5(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|nowhere_dense($f5(A),A).
% 2.46/2.68  0 [] -empty($c5).
% 2.46/2.68  0 [] finite($c5).
% 2.46/2.68  0 [] empty(A)|element($f6(A),powerset(A)).
% 2.46/2.68  0 [] empty(A)| -empty($f6(A)).
% 2.46/2.68  0 [] empty(A)|finite($f6(A)).
% 2.46/2.68  0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.46/2.68  0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.46/2.68  0 [] empty(A)|element($f7(A),powerset(A)).
% 2.46/2.68  0 [] empty(A)| -empty($f7(A)).
% 2.46/2.68  0 [] empty(A)|finite($f7(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|element($f8(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|open_subset($f8(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|element($f9(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|open_subset($f9(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|closed_subset($f9(A),A).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f10(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f10(A)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f10(A),A).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f10(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)| -boundary_set(B,A)|nowhere_dense(B,A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|closed_subset(B,A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|boundary_set(B,A).
% 2.46/2.68  0 [] element($f11(A),powerset(powerset(A))).
% 2.46/2.68  0 [] -empty($f11(A)).
% 2.46/2.68  0 [] finite($f11(A)).
% 2.46/2.68  0 [] -one_sorted_str(A)|element($f12(A),powerset(powerset(the_carrier(A)))).
% 2.46/2.68  0 [] -one_sorted_str(A)| -empty($f12(A)).
% 2.46/2.68  0 [] -one_sorted_str(A)|finite($f12(A)).
% 2.46/2.68  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.
% 2.46/2.68  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.
% 2.46/2.68  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.
% 2.46/2.68  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.
% 2.46/2.68  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).
% 2.46/2.68  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).
% 2.46/2.68  0 [] $T.
% 2.46/2.68  0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.46/2.68  0 [] empty(A)|element($f13(A),powerset(A)).
% 2.46/2.68  0 [] empty(A)| -empty($f13(A)).
% 2.46/2.68  0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.46/2.68  0 [] element($f14(A),powerset(A)).
% 2.46/2.68  0 [] empty($f14(A)).
% 2.46/2.68  0 [] -empty(A)|finite(A).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|element($f15(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f15(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|element($f16(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)|closed_subset($f16(A),A).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f17(A),powerset(the_carrier(A))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f17(A)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f17(A),A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 2.46/2.68  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 2.46/2.68  0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.46/2.68  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)).
% 2.46/2.68  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).
% 2.46/2.68  0 [] empty($c6).
% 2.46/2.68  0 [] relation($c6).
% 2.46/2.68  0 [] -empty(A)|relation(A).
% 2.46/2.68  0 [] -empty($c7).
% 2.46/2.68  0 [] relation($c7).
% 2.46/2.68  0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.46/2.68  0 [] -empty(A)|empty(relation_rng(A)).
% 2.46/2.68  0 [] -empty(A)|relation(relation_rng(A)).
% 2.46/2.68  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)).
% 2.46/2.68  0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.46/2.68  0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.46/2.68  0 [] $T.
% 2.46/2.68  0 [] $T.
% 2.46/2.68  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).
% 2.46/2.68  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).
% 2.46/2.68  0 [] -rel_str(A)|one_sorted_str(A).
% 2.46/2.68  0 [] $T.
% 2.46/2.68  0 [] $T.
% 2.46/2.68  0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)| -empty_carrier(C).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|transitive_relstr(C).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|directed_relstr(C).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|net_str(C,A).
% 2.46/2.68  0 [] -empty(powerset(A)).
% 2.46/2.68  0 [] one_sorted_str($c8).
% 2.46/2.68  0 [] -empty_carrier($c8).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.46/2.68  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 2.46/2.68  0 [] -one_sorted_str(A)|net_str($f18(A),A).
% 2.46/2.68  0 [] -one_sorted_str(A)|strict_net_str($f18(A),A).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|transitive_relstr(netstr_restr_to_element(A,B,C)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|directed_relstr(netstr_restr_to_element(A,B,C)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f19(A,B),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f19(A,B)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f19(A,B)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f19(A,B),A).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f19(A,B)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.46/2.68  0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.46/2.68  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)).
% 2.46/2.68  0 [] -in(A,B)| -in(B,A).
% 2.46/2.68  0 [] -relation_of2(C,A,B)|relation_rng_as_subset(A,B,C)=relation_rng(C).
% 2.46/2.68  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).
% 2.46/2.68  0 [] -relation_of2(C,A,B)|element(relation_rng_as_subset(A,B,C),powerset(B)).
% 2.46/2.68  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 2.46/2.68  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).
% 2.46/2.68  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).
% 2.46/2.68  0 [] -top_str(A)|one_sorted_str(A).
% 2.46/2.68  0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.46/2.68  0 [] $T.
% 2.46/2.68  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))).
% 2.46/2.68  0 [] $T.
% 2.46/2.68  0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.46/2.68  0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.46/2.68  0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f21(A,B,C,D))|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f21(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|D=topstr_closure(A,$f23(A,B,C,D))|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.46/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f23(A,B,C,D)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|in($f29(A,B,C,D,F),the_carrier(B)).
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f29(A,B,C,D,F)=F.
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,F),A,B).
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|element($f27(A,B,C,D,F),the_carrier(B)).
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|D=topstr_closure(A,$f28(A,B,C,D,F)).
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|F=$f27(A,B,C,D,F).
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(F,$f30(A,B,C,D))|$f28(A,B,C,D,F)=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,F))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,F)))).
% 2.55/2.68  0 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)|in(F,$f30(A,B,C,D))| -in(G,the_carrier(B))|G!=F| -netstr_induced_subset(L,A,B)| -element(M,the_carrier(B))|D!=topstr_closure(A,L)|F!=M|L!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,M)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,M))).
% 2.55/2.68  end_of_list.
% 2.55/2.68  
% 2.55/2.68  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=16.
% 2.55/2.68  
% 2.55/2.68  This ia a non-Horn set with equality.  The strategy will be
% 2.55/2.68  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.55/2.68  deletion, with positive clauses in sos and nonpositive
% 2.55/2.68  clauses in usable.
% 2.55/2.68  
% 2.55/2.68     dependent: set(knuth_bendix).
% 2.55/2.68     dependent: set(anl_eq).
% 2.55/2.68     dependent: set(para_from).
% 2.55/2.68     dependent: set(para_into).
% 2.55/2.68     dependent: clear(para_from_right).
% 2.55/2.68     dependent: clear(para_into_right).
% 2.55/2.68     dependent: set(para_from_vars).
% 2.55/2.68     dependent: set(eq_units_both_ways).
% 2.55/2.68     dependent: set(dynamic_demod_all).
% 2.55/2.68     dependent: set(dynamic_demod).
% 2.55/2.68     dependent: set(order_eq).
% 2.55/2.68     dependent: set(back_demod).
% 2.55/2.68     dependent: set(lrpo).
% 2.55/2.68     dependent: set(hyper_res).
% 2.55/2.68     dependent: set(unit_deletion).
% 2.55/2.68     dependent: set(factor).
% 2.55/2.68  
% 2.55/2.68  ------------> process usable:
% 2.55/2.68  ** KEPT (pick-wt=2): 1 [] -empty_carrier($c4).
% 2.55/2.68  ** KEPT (pick-wt=2): 2 [] -empty_carrier($c3).
% 2.55/2.68  ** KEPT (pick-wt=42): 4 [copy,3,flip.5] -in($f3(A),A)| -in($f3(A),the_carrier($c3))| -netstr_induced_subset(B,$c4,$c3)| -element(C,the_carrier($c3))|topstr_closure($c4,B)!=$c1|$f3(A)!=C|B!=relation_rng_as_subset(the_carrier(subnetstr_of_element($c4,$c3,C)),the_carrier($c4),the_mapping($c4,subnetstr_of_element($c4,$c3,C))).
% 2.55/2.68  ** KEPT (pick-wt=8): 5 [] -top_str(A)|element($f4(A),powerset(the_carrier(A))).
% 2.55/2.68  ** KEPT (pick-wt=5): 6 [] -top_str(A)|empty($f4(A)).
% 2.55/2.68  ** KEPT (pick-wt=5): 7 [] -top_str(A)|v1_membered($f4(A)).
% 2.55/2.68  ** KEPT (pick-wt=5): 8 [] -top_str(A)|v2_membered($f4(A)).
% 2.55/2.68  ** KEPT (pick-wt=5): 9 [] -top_str(A)|v3_membered($f4(A)).
% 2.55/2.69  ** KEPT (pick-wt=5): 10 [] -top_str(A)|v4_membered($f4(A)).
% 2.55/2.69  ** KEPT (pick-wt=5): 11 [] -top_str(A)|v5_membered($f4(A)).
% 2.55/2.69  ** KEPT (pick-wt=6): 12 [] -top_str(A)|boundary_set($f4(A),A).
% 2.55/2.69  ** KEPT (pick-wt=10): 13 [] -topological_space(A)| -top_str(A)|element($f5(A),powerset(the_carrier(A))).
% 2.55/2.69  ** KEPT (pick-wt=7): 14 [] -topological_space(A)| -top_str(A)|empty($f5(A)).
% 2.55/2.69  ** KEPT (pick-wt=8): 15 [] -topological_space(A)| -top_str(A)|open_subset($f5(A),A).
% 2.55/2.69  ** KEPT (pick-wt=8): 16 [] -topological_space(A)| -top_str(A)|closed_subset($f5(A),A).
% 2.55/2.69  ** KEPT (pick-wt=7): 17 [] -topological_space(A)| -top_str(A)|v1_membered($f5(A)).
% 2.55/2.69  ** KEPT (pick-wt=7): 18 [] -topological_space(A)| -top_str(A)|v2_membered($f5(A)).
% 2.55/2.69  ** KEPT (pick-wt=7): 19 [] -topological_space(A)| -top_str(A)|v3_membered($f5(A)).
% 2.55/2.69  ** KEPT (pick-wt=7): 20 [] -topological_space(A)| -top_str(A)|v4_membered($f5(A)).
% 2.55/2.69  ** KEPT (pick-wt=7): 21 [] -topological_space(A)| -top_str(A)|v5_membered($f5(A)).
% 2.55/2.69  ** KEPT (pick-wt=8): 22 [] -topological_space(A)| -top_str(A)|boundary_set($f5(A),A).
% 2.55/2.69  ** KEPT (pick-wt=8): 23 [] -topological_space(A)| -top_str(A)|nowhere_dense($f5(A),A).
% 2.55/2.69  ** KEPT (pick-wt=2): 24 [] -empty($c5).
% 2.55/2.69  ** KEPT (pick-wt=5): 25 [] empty(A)| -empty($f6(A)).
% 2.55/2.69  ** KEPT (pick-wt=8): 26 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.55/2.69  ** KEPT (pick-wt=8): 27 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.55/2.69  ** KEPT (pick-wt=5): 28 [] empty(A)| -empty($f7(A)).
% 2.55/2.69  ** KEPT (pick-wt=10): 29 [] -topological_space(A)| -top_str(A)|element($f8(A),powerset(the_carrier(A))).
% 2.55/2.69  ** KEPT (pick-wt=8): 30 [] -topological_space(A)| -top_str(A)|open_subset($f8(A),A).
% 2.55/2.69  ** KEPT (pick-wt=10): 31 [] -topological_space(A)| -top_str(A)|element($f9(A),powerset(the_carrier(A))).
% 2.55/2.69  ** KEPT (pick-wt=8): 32 [] -topological_space(A)| -top_str(A)|open_subset($f9(A),A).
% 2.55/2.69  ** KEPT (pick-wt=8): 33 [] -topological_space(A)| -top_str(A)|closed_subset($f9(A),A).
% 2.55/2.69  ** KEPT (pick-wt=12): 34 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f10(A),powerset(the_carrier(A))).
% 2.55/2.69  ** KEPT (pick-wt=9): 35 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f10(A)).
% 2.55/2.69  ** KEPT (pick-wt=10): 36 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|open_subset($f10(A),A).
% 2.55/2.69  ** KEPT (pick-wt=10): 37 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f10(A),A).
% 2.55/2.69  ** KEPT (pick-wt=15): 38 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -nowhere_dense(B,A)|boundary_set(B,A).
% 2.55/2.69  ** KEPT (pick-wt=18): 39 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)| -boundary_set(B,A)|nowhere_dense(B,A).
% 2.55/2.69  ** KEPT (pick-wt=17): 40 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|empty(B).
% 2.55/2.69  ** KEPT (pick-wt=18): 41 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|closed_subset(B,A).
% 2.55/2.69  ** KEPT (pick-wt=17): 42 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v1_membered(B).
% 2.55/2.69  ** KEPT (pick-wt=17): 43 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v2_membered(B).
% 2.55/2.69  ** KEPT (pick-wt=17): 44 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v3_membered(B).
% 2.55/2.69  ** KEPT (pick-wt=17): 45 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v4_membered(B).
% 2.55/2.69  ** KEPT (pick-wt=17): 46 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)| -nowhere_dense(B,A)|v5_membered(B).
% 2.55/2.69    Following clause subsumed by 38 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).
% 2.55/2.69  ** KEPT (pick-wt=3): 47 [] -empty($f11(A)).
% 2.55/2.69  ** KEPT (pick-wt=9): 48 [] -one_sorted_str(A)|element($f12(A),powerset(powerset(the_carrier(A)))).
% 2.55/2.69  ** KEPT (pick-wt=5): 49 [] -one_sorted_str(A)| -empty($f12(A)).
% 2.55/2.69  ** KEPT (pick-wt=5): 50 [] -one_sorted_str(A)|finite($f12(A)).
% 2.55/2.69  ** KEPT (pick-wt=32): 51 [] -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.
% 2.55/2.69  ** KEPT (pick-wt=32): 52 [] -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.
% 2.55/2.69  ** KEPT (pick-wt=32): 53 [] -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.
% 2.55/2.69  ** KEPT (pick-wt=32): 54 [] -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.
% 2.55/2.69  ** KEPT (pick-wt=25): 55 [] -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).
% 2.55/2.69  ** KEPT (pick-wt=25): 56 [] -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).
% 2.55/2.69  ** KEPT (pick-wt=9): 57 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.55/2.69  ** KEPT (pick-wt=5): 58 [] empty(A)| -empty($f13(A)).
% 2.55/2.69  ** KEPT (pick-wt=8): 59 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.55/2.69  ** KEPT (pick-wt=4): 60 [] -empty(A)|finite(A).
% 2.55/2.69  ** KEPT (pick-wt=10): 61 [] empty_carrier(A)| -one_sorted_str(A)|element($f15(A),powerset(the_carrier(A))).
% 2.55/2.69  ** KEPT (pick-wt=7): 62 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f15(A)).
% 2.55/2.69  ** KEPT (pick-wt=10): 63 [] -topological_space(A)| -top_str(A)|element($f16(A),powerset(the_carrier(A))).
% 2.55/2.69  ** KEPT (pick-wt=8): 64 [] -topological_space(A)| -top_str(A)|closed_subset($f16(A),A).
% 2.55/2.69  ** KEPT (pick-wt=12): 65 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|element($f17(A),powerset(the_carrier(A))).
% 2.55/2.69  ** KEPT (pick-wt=9): 66 [] empty_carrier(A)| -topological_space(A)| -top_str(A)| -empty($f17(A)).
% 2.55/2.69  ** KEPT (pick-wt=10): 67 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|closed_subset($f17(A),A).
% 2.55/2.69  ** KEPT (pick-wt=14): 68 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|open_subset(B,A).
% 2.55/2.69  ** KEPT (pick-wt=14): 69 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|closed_subset(B,A).
% 2.55/2.69  ** KEPT (pick-wt=12): 70 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|boundary_set(B,A).
% 2.55/2.69  ** KEPT (pick-wt=14): 71 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))| -empty(B)|nowhere_dense(B,A).
% 2.55/2.69  ** KEPT (pick-wt=8): 72 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.55/2.69  ** KEPT (pick-wt=26): 73 [] -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)).
% 2.55/2.69    Following clause subsumed by 55 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).
% 2.55/2.69  ** KEPT (pick-wt=4): 74 [] -empty(A)|relation(A).
% 2.55/2.69  ** KEPT (pick-wt=2): 75 [] -empty($c7).
% 2.55/2.69  ** KEPT (pick-wt=7): 76 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.55/2.69  ** KEPT (pick-wt=5): 77 [] -empty(A)|empty(relation_rng(A)).
% 2.55/2.69  ** KEPT (pick-wt=5): 78 [] -empty(A)|relation(relation_rng(A)).
% 2.55/2.69  ** KEPT (pick-wt=19): 80 [copy,79,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.
% 2.55/2.69  ** KEPT (pick-wt=8): 81 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.55/2.69  ** KEPT (pick-wt=8): 82 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.55/2.69  ** KEPT (pick-wt=19): 83 [] 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).
% 2.55/2.69  ** KEPT (pick-wt=19): 84 [] 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).
% 2.55/2.69  ** KEPT (pick-wt=4): 85 [] -rel_str(A)|one_sorted_str(A).
% 2.55/2.69  ** KEPT (pick-wt=10): 86 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.55/2.69  ** KEPT (pick-wt=19): 87 [] 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).
% 2.55/2.69  ** KEPT (pick-wt=19): 88 [] 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).
% 2.55/2.69  ** KEPT (pick-wt=19): 89 [] 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).
% 2.55/2.69  ** KEPT (pick-wt=20): 90 [] 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).
% 2.55/2.69  ** KEPT (pick-wt=3): 91 [] -empty(powerset(A)).
% 2.55/2.69  ** KEPT (pick-wt=2): 92 [] -empty_carrier($c8).
% 2.55/2.69  ** KEPT (pick-wt=7): 93 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.55/2.69  ** KEPT (pick-wt=14): 94 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 2.55/2.69  ** KEPT (pick-wt=6): 95 [] -one_sorted_str(A)|net_str($f18(A),A).
% 2.55/2.69  ** KEPT (pick-wt=6): 96 [] -one_sorted_str(A)|strict_net_str($f18(A),A).
% 2.55/2.69  ** KEPT (pick-wt=20): 97 [] 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)).
% 2.55/2.69    Following clause subsumed by 83 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).
% 2.55/2.69    Following clause subsumed by 97 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)).
% 2.55/2.69  ** KEPT (pick-wt=22): 98 [] 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)).
% 2.55/2.69    Following clause subsumed by 83 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).
% 2.55/2.69  ** KEPT (pick-wt=22): 99 [] 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)).
% 2.55/2.69  ** KEPT (pick-wt=19): 100 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f19(A,B),A,B).
% 2.55/2.69  ** KEPT (pick-wt=17): 101 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f19(A,B)).
% 2.55/2.69  ** KEPT (pick-wt=17): 102 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f19(A,B)).
% 2.55/2.69  ** KEPT (pick-wt=18): 103 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f19(A,B),A).
% 2.55/2.69  ** KEPT (pick-wt=17): 104 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f19(A,B)).
% 2.55/2.69  ** KEPT (pick-wt=13): 105 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.55/2.69  ** KEPT (pick-wt=13): 106 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.55/2.69  ** KEPT (pick-wt=13): 107 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.56/2.69  ** KEPT (pick-wt=17): 108 [] 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)).
% 2.56/2.69  ** KEPT (pick-wt=6): 109 [] -in(A,B)| -in(B,A).
% 2.56/2.69  ** KEPT (pick-wt=11): 110 [] -relation_of2(A,B,C)|relation_rng_as_subset(B,C,A)=relation_rng(A).
% 2.56/2.69  ** KEPT (pick-wt=26): 111 [] 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).
% 2.56/2.69  ** KEPT (pick-wt=11): 112 [] -relation_of2(A,B,C)|element(relation_rng_as_subset(B,C,A),powerset(C)).
% 2.56/2.69  ** KEPT (pick-wt=14): 113 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 2.56/2.69  ** KEPT (pick-wt=23): 114 [] 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).
% 2.56/2.69  ** KEPT (pick-wt=24): 115 [] 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).
% 2.56/2.69  ** KEPT (pick-wt=4): 116 [] -top_str(A)|one_sorted_str(A).
% 2.56/2.69  ** KEPT (pick-wt=7): 117 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.56/2.69  ** KEPT (pick-wt=18): 118 [] 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))).
% 2.56/2.69  ** KEPT (pick-wt=9): 119 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.56/2.69  ** KEPT (pick-wt=13): 120 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.56/2.69  ** KEPT (pick-wt=13): 121 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.56/2.69  ** KEPT (pick-wt=42): 122 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.56/2.69  ** KEPT (pick-wt=41): 123 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.56/2.69  ** KEPT (pick-wt=42): 124 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.56/2.69  ** KEPT (pick-wt=42): 125 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.56/2.69  ** KEPT (pick-wt=43): 127 [copy,126,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.56/2.69  ** KEPT (pick-wt=41): 129 [copy,128,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.56/2.69  ** KEPT (pick-wt=64): 131 [copy,130,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.56/2.69  ** KEPT (pick-wt=72): 132 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f25(A,B,C,D)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.56/2.70  ** KEPT (pick-wt=39): 133 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.56/2.70  ** KEPT (pick-wt=38): 134 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.56/2.70  ** KEPT (pick-wt=39): 135 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.56/2.70  ** KEPT (pick-wt=39): 136 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.56/2.70  ** KEPT (pick-wt=40): 138 [copy,137,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.56/2.70  ** KEPT (pick-wt=38): 140 [copy,139,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.56/2.70  ** KEPT (pick-wt=61): 142 [copy,141,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.56/2.70  ** KEPT (pick-wt=69): 143 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f21(A,B,C,D),A,B)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.56/2.70  ** KEPT (pick-wt=39): 144 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.56/2.70  ** KEPT (pick-wt=38): 145 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.56/2.70  ** KEPT (pick-wt=39): 146 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.56/2.70  ** KEPT (pick-wt=39): 147 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.56/2.70  ** KEPT (pick-wt=40): 149 [copy,148,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.56/2.70  ** KEPT (pick-wt=38): 151 [copy,150,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($f20(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.56/2.70  ** KEPT (pick-wt=61): 153 [copy,152,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.56/2.70  ** KEPT (pick-wt=69): 154 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f20(A,B,C,D),the_carrier(B))|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.56/2.70  ** KEPT (pick-wt=40): 156 [copy,155,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.56/2.70  ** KEPT (pick-wt=39): 158 [copy,157,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.56/2.70  ** KEPT (pick-wt=40): 160 [copy,159,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.56/2.70  ** KEPT (pick-wt=40): 162 [copy,161,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.56/2.70  ** KEPT (pick-wt=41): 164 [copy,163,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.56/2.70  ** KEPT (pick-wt=39): 166 [copy,165,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.56/2.70  ** KEPT (pick-wt=62): 168 [copy,167,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.56/2.70  ** KEPT (pick-wt=70): 170 [copy,169,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f21(A,B,C,D))=D|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.56/2.70  ** KEPT (pick-wt=42): 171 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.56/2.70  ** KEPT (pick-wt=41): 172 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.56/2.70  ** KEPT (pick-wt=42): 173 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.56/2.70  ** KEPT (pick-wt=42): 174 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.57/2.71  ** KEPT (pick-wt=43): 176 [copy,175,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.57/2.71  ** KEPT (pick-wt=41): 178 [copy,177,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.57/2.71  ** KEPT (pick-wt=64): 180 [copy,179,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.57/2.71  ** KEPT (pick-wt=72): 181 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)=$f20(A,B,C,D)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.57/2.71  ** KEPT (pick-wt=59): 183 [copy,182,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.57/2.71  ** KEPT (pick-wt=58): 185 [copy,184,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.57/2.71  ** KEPT (pick-wt=59): 187 [copy,186,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.57/2.71  ** KEPT (pick-wt=59): 189 [copy,188,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.57/2.71  ** KEPT (pick-wt=60): 191 [copy,190,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.57/2.71  ** KEPT (pick-wt=58): 193 [copy,192,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.57/2.71  ** KEPT (pick-wt=81): 195 [copy,194,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.58/2.71  ** KEPT (pick-wt=89): 197 [copy,196,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f20(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f20(A,B,C,D))))=$f21(A,B,C,D)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.58/2.71  ** KEPT (pick-wt=42): 198 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.58/2.71  ** KEPT (pick-wt=41): 199 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.58/2.71  ** KEPT (pick-wt=42): 200 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.58/2.71  ** KEPT (pick-wt=42): 201 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.58/2.71  ** KEPT (pick-wt=43): 203 [copy,202,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.58/2.71  ** KEPT (pick-wt=41): 205 [copy,204,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.58/2.71  ** KEPT (pick-wt=64): 207 [copy,206,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.58/2.71  ** KEPT (pick-wt=72): 208 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f26(A,B,C,D)=$f24(A,B,C,D)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.58/2.71  ** KEPT (pick-wt=39): 209 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.58/2.71  ** KEPT (pick-wt=38): 210 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.58/2.71  ** KEPT (pick-wt=39): 211 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.58/2.71  ** KEPT (pick-wt=39): 212 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.58/2.72  ** KEPT (pick-wt=40): 214 [copy,213,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.58/2.72  ** KEPT (pick-wt=38): 216 [copy,215,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.58/2.72  ** KEPT (pick-wt=61): 218 [copy,217,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.58/2.72  ** KEPT (pick-wt=69): 219 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|netstr_induced_subset($f23(A,B,C,D),A,B)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.58/2.72  ** KEPT (pick-wt=39): 220 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.58/2.72  ** KEPT (pick-wt=38): 221 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.58/2.72  ** KEPT (pick-wt=39): 222 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.58/2.72  ** KEPT (pick-wt=39): 223 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.58/2.72  ** KEPT (pick-wt=40): 225 [copy,224,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.58/2.72  ** KEPT (pick-wt=38): 227 [copy,226,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($f22(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.58/2.72  ** KEPT (pick-wt=61): 229 [copy,228,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.58/2.72  ** KEPT (pick-wt=69): 230 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|element($f22(A,B,C,D),the_carrier(B))|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.58/2.72  ** KEPT (pick-wt=40): 232 [copy,231,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.58/2.72  ** KEPT (pick-wt=39): 234 [copy,233,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.58/2.72  ** KEPT (pick-wt=40): 236 [copy,235,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.58/2.72  ** KEPT (pick-wt=40): 238 [copy,237,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.58/2.72  ** KEPT (pick-wt=41): 240 [copy,239,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.58/2.72  ** KEPT (pick-wt=39): 242 [copy,241,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.58/2.72  ** KEPT (pick-wt=62): 244 [copy,243,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.58/2.72  ** KEPT (pick-wt=70): 246 [copy,245,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|topstr_closure(A,$f23(A,B,C,D))=D|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.58/2.72  ** KEPT (pick-wt=42): 247 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.58/2.72  ** KEPT (pick-wt=41): 248 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.58/2.72  ** KEPT (pick-wt=42): 249 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.58/2.72  ** KEPT (pick-wt=42): 250 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.58/2.72  ** KEPT (pick-wt=43): 252 [copy,251,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.58/2.72  ** KEPT (pick-wt=41): 254 [copy,253,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.58/2.72  ** KEPT (pick-wt=64): 256 [copy,255,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.86/3.03  ** KEPT (pick-wt=72): 257 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f24(A,B,C,D)=$f22(A,B,C,D)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.86/3.03  ** KEPT (pick-wt=59): 259 [copy,258,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.86/3.03  ** KEPT (pick-wt=58): 261 [copy,260,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.86/3.03  ** KEPT (pick-wt=59): 263 [copy,262,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.86/3.03  ** KEPT (pick-wt=59): 265 [copy,264,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.86/3.03  ** KEPT (pick-wt=60): 267 [copy,266,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.86/3.03  ** KEPT (pick-wt=58): 269 [copy,268,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.86/3.03  ** KEPT (pick-wt=81): 271 [copy,270,flip.8,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.86/3.03  ** KEPT (pick-wt=89): 273 [copy,272,flip.8] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f22(A,B,C,D))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f22(A,B,C,D))))=$f23(A,B,C,D)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.86/3.03  ** KEPT (pick-wt=42): 274 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|in($f29(A,B,C,D,E),the_carrier(B)).
% 2.86/3.03  ** KEPT (pick-wt=41): 275 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f29(A,B,C,D,E)=E.
% 2.86/3.03  ** KEPT (pick-wt=42): 276 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|netstr_induced_subset($f28(A,B,C,D,E),A,B).
% 2.86/3.03  ** KEPT (pick-wt=42): 277 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|element($f27(A,B,C,D,E),the_carrier(B)).
% 2.86/3.03  ** KEPT (pick-wt=43): 279 [copy,278,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|topstr_closure(A,$f28(A,B,C,D,E))=D.
% 2.86/3.03  ** KEPT (pick-wt=41): 281 [copy,280,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|$f27(A,B,C,D,E)=E.
% 2.86/3.03  ** KEPT (pick-wt=64): 283 [copy,282,flip.10] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)| -in(E,$f30(A,B,C,D))|relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,$f27(A,B,C,D,E))),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,$f27(A,B,C,D,E))))=$f28(A,B,C,D,E).
% 2.86/3.03  ** KEPT (pick-wt=72): 284 [] empty_carrier(A)| -topological_space(A)| -top_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|$f25(A,B,C,D)!=$f24(A,B,C,D)|in(E,$f30(A,B,C,D))| -in(F,the_carrier(B))|F!=E| -netstr_induced_subset(G,A,B)| -element(H,the_carrier(B))|D!=topstr_closure(A,G)|E!=H|G!=relation_rng_as_subset(the_carrier(subnetstr_of_element(A,B,H)),the_carrier(A),the_mapping(A,subnetstr_of_element(A,B,H))).
% 2.86/3.03  119 back subsumes 107.
% 2.86/3.03  120 back subsumes 108.
% 2.86/3.03  
% 2.86/3.03  ------------> process sos:
% 2.86/3.03  ** KEPT (pick-wt=3): 606 [] A=A.
% 2.86/3.03  ** KEPT (pick-wt=2): 607 [] topological_space($c4).
% 2.86/3.03  ** KEPT (pick-wt=2): 608 [] top_str($c4).
% 2.86/3.03  ** KEPT (pick-wt=2): 609 [] transitive_relstr($c3).
% 2.86/3.03  ** KEPT (pick-wt=2): 610 [] directed_relstr($c3).
% 2.86/3.03  ** KEPT (pick-wt=3): 611 [] net_str($c3,$c4).
% 2.86/3.03  ** KEPT (pick-wt=9): 612 [] in($f3(A),A)|in($f3(A),the_carrier($c3)).
% 2.86/3.03  ** KEPT (pick-wt=9): 613 [] in($f3(A),A)|netstr_induced_subset($f2(A),$c4,$c3).
% 2.86/3.03  ** KEPT (pick-wt=9): 614 [] in($f3(A),A)|element($f1(A),the_carrier($c3)).
% 2.86/3.03  ** KEPT (pick-wt=10): 616 [copy,615,flip.2] in($f3(A),A)|topstr_closure($c4,$f2(A))=$c1.
% 2.86/3.03  ** KEPT (pick-wt=9): 617 [] in($f3(A),A)|$f3(A)=$f1(A).
% 2.86/3.03  ** KEPT (pick-wt=23): 619 [copy,618,flip.2] in($f3(A),A)|relation_rng_as_subset(the_carrier(subnetstr_of_element($c4,$c3,$f1(A))),the_carrier($c4),the_mapping($c4,subnetstr_of_element($c4,$c3,$f1(A))))=$f2(A).
% 2.86/3.03  ** KEPT (pick-wt=2): 620 [] finite($c5).
% 2.86/3.03  ** KEPT (pick-wt=7): 621 [] empty(A)|element($f6(A),powerset(A)).
% 2.86/3.03  ** KEPT (pick-wt=5): 622 [] empty(A)|finite($f6(A)).
% 2.86/3.03  ** KEPT (pick-wt=7): 623 [] empty(A)|element($f7(A),powerset(A)).
% 2.86/3.03  ** KEPT (pick-wt=5): 624 [] empty(A)|finite($f7(A)).
% 2.86/3.03  ** KEPT (pick-wt=6): 625 [] element($f11(A),powerset(powerset(A))).
% 2.86/3.03  ** KEPT (pick-wt=3): 626 [] finite($f11(A)).
% 2.86/3.03  ** KEPT (pick-wt=7): 627 [] empty(A)|element($f13(A),powerset(A)).
% 2.86/3.03  ** KEPT (pick-wt=5): 628 [] element($f14(A),powerset(A)).
% 2.86/3.03  ** KEPT (pick-wt=3): 629 [] empty($f14(A)).
% 2.86/3.03  ** KEPT (pick-wt=2): 630 [] empty($c6).
% 2.86/3.03  ** KEPT (pick-wt=2): 631 [] relation($c6).
% 2.86/3.03  ** KEPT (pick-wt=2): 632 [] relation($c7).
% 2.86/3.03  ** KEPT (pick-wt=2): 633 [] one_sorted_str($c8).
% 2.86/3.03    Following clause subsumed by 606 during input processing: 0 [copy,606,flip.1] A=A.
% 2.86/3.03  
% 2.86/3.03  ======= end of input processing =======
% 2.86/3.03  
% 2.86/3.03  =========== start of search ===========
% 2.86/3.03  
% 2.86/3.03  
% 2.86/3.03  Resetting weight limit to 2.
% 2.86/3.03  
% 2.86/3.03  
% 2.86/3.03  Resetting weight limit to 2.
% 2.86/3.03  
% 2.86/3.03  sos_size=26
% 2.96/3.13  
% 2.96/3.13  Search stopped because sos empty.
% 2.96/3.13  
% 2.96/3.13  
% 2.96/3.13  Search stopped because sos empty.
% 2.96/3.13  
% 2.96/3.13  ============ end of search ============
% 2.96/3.13  
% 2.96/3.13  -------------- statistics -------------
% 2.96/3.13  clauses given                 31
% 2.96/3.13  clauses generated           2482
% 2.96/3.13  clauses kept                 575
% 2.96/3.13  clauses forward subsumed     154
% 2.96/3.13  clauses back subsumed          2
% 2.96/3.13  Kbytes malloced             8789
% 2.96/3.13  
% 2.96/3.13  ----------- times (seconds) -----------
% 2.96/3.13  user CPU time          0.48          (0 hr, 0 min, 0 sec)
% 2.96/3.13  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.96/3.13  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 2.96/3.13  
% 2.96/3.13  Process 1034 finished Wed Jul 27 08:10:42 2022
% 2.96/3.13  Otter interrupted
% 2.96/3.13  PROOF NOT FOUND
%------------------------------------------------------------------------------