%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SEU395+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 May 31 12:36:55 EDT 2023

% Result   : Theorem 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEU395+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n018.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 09:24:25 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.47  % Refutation found
% 0.15/0.47  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.47  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47  fof(f1,axiom,(
% 0.15/0.47    (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f6,axiom,(
% 0.15/0.47    (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& lower_bounded_relstr(A)& up_complete_relstr(A) )=> ( ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A) ) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f8,axiom,(
% 0.15/0.47    (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& reflexive_relstr(A)& antisymmetric_relstr(A)& upper_bounded_relstr(A)& join_complete_relstr(A) )=> ( ~ empty_carrier(A)& reflexive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& upper_bounded_relstr(A) ) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f31,axiom,(
% 0.15/0.47    (! [A,B] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A) )=> element(lim_points_of_net(A,B),powerset(the_carrier(A))) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f34,axiom,(
% 0.15/0.47    (! [A] :( one_sorted_str(A)=> element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f37,axiom,(
% 0.15/0.47    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty(B)& element(B,powerset(the_carrier(A)))& ~ empty(C)& filtered_subset(C,boole_POSet(B))& upper_relstr_subset(C,boole_POSet(B))& element(C,powerset(the_carrier(boole_POSet(B)))) )=> ( ~ empty_carrier(net_of_bool_filter(A,B,C))& strict_net_str(net_of_bool_filter(A,B,C),A)& net_str(net_of_bool_filter(A,B,C),A) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f40,axiom,(
% 0.15/0.47    (! [A] :( top_str(A)=> one_sorted_str(A) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f61,axiom,(
% 0.15/0.47    (! [A] : ~ empty(powerset(A)) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f63,axiom,(
% 0.15/0.47    (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(cast_as_carrier_subset(A)) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f69,axiom,(
% 0.15/0.47    (! [A,B] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A) )=> ( ~ empty(filter_of_net_str(A,B))& filtered_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A)))& upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A)))& proper_element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f73,axiom,(
% 0.15/0.47    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty(B)& element(B,powerset(the_carrier(A)))& ~ empty(C)& filtered_subset(C,boole_POSet(B))& upper_relstr_subset(C,boole_POSet(B))& element(C,powerset(the_carrier(boole_POSet(B)))) )=> ( ~ empty_carrier(net_of_bool_filter(A,B,C))& reflexive_relstr(net_of_bool_filter(A,B,C))& transitive_relstr(net_of_bool_filter(A,B,C))& strict_net_str(net_of_bool_filter(A,B,C),A) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f76,axiom,(
% 0.15/0.47    (! [A,B,C] :( ( ~ empty_carrier(A)& one_sorted_str(A)& ~ empty(B)& element(B,powerset(the_carrier(A)))& ~ empty(C)& filtered_subset(C,boole_POSet(B))& upper_relstr_subset(C,boole_POSet(B))& proper_element(C,powerset(the_carrier(boole_POSet(B))))& element(C,powerset(the_carrier(boole_POSet(B)))) )=> ( ~ empty_carrier(net_of_bool_filter(A,B,C))& reflexive_relstr(net_of_bool_filter(A,B,C))& transitive_relstr(net_of_bool_filter(A,B,C))& strict_net_str(net_of_bool_filter(A,B,C),A)& directed_relstr(net_of_bool_filter(A,B,C)) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f89,axiom,(
% 0.15/0.47    (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A)& up_complete_relstr(A)& join_complete_relstr(A) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f91,axiom,(
% 0.15/0.47    (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& complete_relstr(A) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f96,axiom,(
% 0.15/0.47    (? [A] :( rel_str(A)& ~ empty_carrier(A)& ~ trivial_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A)& ~ v1_yellow_3(A)& distributive_relstr(A)& heyting_relstr(A)& complemented_relstr(A)& boolean_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f97,axiom,(
% 0.15/0.47    (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& trivial_carrier(A) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f125,axiom,(
% 0.15/0.47    (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( ( ~ empty_carrier(B)& transitive_relstr(B)& directed_relstr(B)& net_str(B,A) )=> (! [C] :( element(C,the_carrier(A))=> ( in(C,lim_points_of_net(A,B))<=> is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C) ) ) )) )) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f126,axiom,(
% 0.15/0.47    (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( ( ~ empty(B)& filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))& upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))& proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))& element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )=> B = filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)) ) )) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f127,conjecture,(
% 0.15/0.47    (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( ( ~ empty(B)& filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))& upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))& proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))& element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )=> (! [C] :( element(C,the_carrier(A))=> ( in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))<=> is_a_convergence_point_of_set(A,B,C) ) ) )) )) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f128,negated_conjecture,(
% 0.15/0.47    ~((! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( ( ~ empty(B)& filtered_subset(B,boole_POSet(cast_as_carrier_subset(A)))& upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A)))& proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))& element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) )=> (! [C] :( element(C,the_carrier(A))=> ( in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))<=> is_a_convergence_point_of_set(A,B,C) ) ) )) )) ))),
% 0.15/0.47    inference(negated_conjecture,[status(cth)],[f127])).
% 0.15/0.47  fof(f130,axiom,(
% 0.15/0.47    (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.15/0.47    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47  fof(f138,plain,(
% 0.15/0.47    ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.15/0.47  fof(f139,plain,(
% 0.15/0.47    ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f138])).
% 0.15/0.47  fof(f153,plain,(
% 0.15/0.47    ![A]: (~rel_str(A)|(((((((empty_carrier(A)|~reflexive_relstr(A))|~transitive_relstr(A))|~antisymmetric_relstr(A))|~with_suprema_relstr(A))|~lower_bounded_relstr(A))|~up_complete_relstr(A))|(((((((((~empty_carrier(A)&reflexive_relstr(A))&transitive_relstr(A))&antisymmetric_relstr(A))&with_suprema_relstr(A))&with_infima_relstr(A))&complete_relstr(A))&lower_bounded_relstr(A))&upper_bounded_relstr(A))&bounded_relstr(A))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.15/0.47  fof(f160,plain,(
% 0.15/0.47    ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~with_suprema_relstr(X0)|~lower_bounded_relstr(X0)|~up_complete_relstr(X0)|complete_relstr(X0))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f153])).
% 0.15/0.47  fof(f169,plain,(
% 0.15/0.47    ![A]: (~rel_str(A)|(((((empty_carrier(A)|~reflexive_relstr(A))|~antisymmetric_relstr(A))|~upper_bounded_relstr(A))|~join_complete_relstr(A))|((((~empty_carrier(A)&reflexive_relstr(A))&antisymmetric_relstr(A))&with_suprema_relstr(A))&upper_bounded_relstr(A))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.15/0.47  fof(f173,plain,(
% 0.15/0.47    ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~antisymmetric_relstr(X0)|~upper_bounded_relstr(X0)|~join_complete_relstr(X0)|with_suprema_relstr(X0))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f169])).
% 0.15/0.47  fof(f246,plain,(
% 0.15/0.47    ![A,B]: (((((((empty_carrier(A)|~topological_space(A))|~top_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|element(lim_points_of_net(A,B),powerset(the_carrier(A))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.15/0.47  fof(f247,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|element(lim_points_of_net(X0,X1),powerset(the_carrier(X0))))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f246])).
% 0.15/0.47  fof(f248,plain,(
% 0.15/0.47    ![A]: (~one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.15/0.47  fof(f249,plain,(
% 0.15/0.47    ![X0]: (~one_sorted_str(X0)|element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f248])).
% 0.15/0.47  fof(f252,plain,(
% 0.15/0.47    ![A,B,C]: ((((((((empty_carrier(A)|~one_sorted_str(A))|empty(B))|~element(B,powerset(the_carrier(A))))|empty(C))|~filtered_subset(C,boole_POSet(B)))|~upper_relstr_subset(C,boole_POSet(B)))|~element(C,powerset(the_carrier(boole_POSet(B)))))|((~empty_carrier(net_of_bool_filter(A,B,C))&strict_net_str(net_of_bool_filter(A,B,C),A))&net_str(net_of_bool_filter(A,B,C),A)))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.15/0.47  fof(f253,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(X1)|~element(X1,powerset(the_carrier(X0)))|empty(X2)|~filtered_subset(X2,boole_POSet(X1))|~upper_relstr_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|~empty_carrier(net_of_bool_filter(X0,X1,X2)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f252])).
% 0.15/0.47  fof(f255,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(X1)|~element(X1,powerset(the_carrier(X0)))|empty(X2)|~filtered_subset(X2,boole_POSet(X1))|~upper_relstr_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|net_str(net_of_bool_filter(X0,X1,X2),X0))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f252])).
% 0.15/0.47  fof(f261,plain,(
% 0.15/0.47    ![A]: (~top_str(A)|one_sorted_str(A))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.15/0.47  fof(f262,plain,(
% 0.15/0.47    ![X0]: (~top_str(X0)|one_sorted_str(X0))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f261])).
% 0.15/0.47  fof(f304,plain,(
% 0.15/0.47    ![X0]: (~empty(powerset(X0)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f61])).
% 0.15/0.47  fof(f324,plain,(
% 0.15/0.47    ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(cast_as_carrier_subset(A)))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f63])).
% 0.15/0.47  fof(f325,plain,(
% 0.15/0.47    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(cast_as_carrier_subset(X0)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f324])).
% 0.15/0.47  fof(f357,plain,(
% 0.15/0.47    ![A,B]: ((((((empty_carrier(A)|~one_sorted_str(A))|empty_carrier(B))|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|(((~empty(filter_of_net_str(A,B))&filtered_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))))&upper_relstr_subset(filter_of_net_str(A,B),boole_POSet(cast_as_carrier_subset(A))))&proper_element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f69])).
% 0.15/0.47  fof(f361,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|proper_element(filter_of_net_str(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f357])).
% 0.15/0.47  fof(f369,plain,(
% 0.15/0.47    ![A,B,C]: ((((((((empty_carrier(A)|~one_sorted_str(A))|empty(B))|~element(B,powerset(the_carrier(A))))|empty(C))|~filtered_subset(C,boole_POSet(B)))|~upper_relstr_subset(C,boole_POSet(B)))|~element(C,powerset(the_carrier(boole_POSet(B)))))|(((~empty_carrier(net_of_bool_filter(A,B,C))&reflexive_relstr(net_of_bool_filter(A,B,C)))&transitive_relstr(net_of_bool_filter(A,B,C)))&strict_net_str(net_of_bool_filter(A,B,C),A)))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f73])).
% 0.15/0.47  fof(f372,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(X1)|~element(X1,powerset(the_carrier(X0)))|empty(X2)|~filtered_subset(X2,boole_POSet(X1))|~upper_relstr_subset(X2,boole_POSet(X1))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|transitive_relstr(net_of_bool_filter(X0,X1,X2)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f369])).
% 0.15/0.47  fof(f379,plain,(
% 0.15/0.47    ![A,B,C]: (((((((((empty_carrier(A)|~one_sorted_str(A))|empty(B))|~element(B,powerset(the_carrier(A))))|empty(C))|~filtered_subset(C,boole_POSet(B)))|~upper_relstr_subset(C,boole_POSet(B)))|~proper_element(C,powerset(the_carrier(boole_POSet(B)))))|~element(C,powerset(the_carrier(boole_POSet(B)))))|((((~empty_carrier(net_of_bool_filter(A,B,C))&reflexive_relstr(net_of_bool_filter(A,B,C)))&transitive_relstr(net_of_bool_filter(A,B,C)))&strict_net_str(net_of_bool_filter(A,B,C),A))&directed_relstr(net_of_bool_filter(A,B,C))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f76])).
% 0.15/0.47  fof(f384,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(X1)|~element(X1,powerset(the_carrier(X0)))|empty(X2)|~filtered_subset(X2,boole_POSet(X1))|~upper_relstr_subset(X2,boole_POSet(X1))|~proper_element(X2,powerset(the_carrier(boole_POSet(X1))))|~element(X2,powerset(the_carrier(boole_POSet(X1))))|directed_relstr(net_of_bool_filter(X0,X1,X2)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f379])).
% 0.15/0.47  fof(f464,plain,(
% 0.15/0.47    (((((((((((((rel_str(sk0_11)&~empty_carrier(sk0_11))&strict_rel_str(sk0_11))&reflexive_relstr(sk0_11))&transitive_relstr(sk0_11))&antisymmetric_relstr(sk0_11))&with_suprema_relstr(sk0_11))&with_infima_relstr(sk0_11))&complete_relstr(sk0_11))&lower_bounded_relstr(sk0_11))&upper_bounded_relstr(sk0_11))&bounded_relstr(sk0_11))&up_complete_relstr(sk0_11))&join_complete_relstr(sk0_11))),
% 0.15/0.47    inference(skolemization,[status(esa)],[f89])).
% 0.15/0.47  fof(f465,plain,(
% 0.15/0.47    rel_str(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f466,plain,(
% 0.15/0.47    ~empty_carrier(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f467,plain,(
% 0.15/0.47    strict_rel_str(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f468,plain,(
% 0.15/0.47    reflexive_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f469,plain,(
% 0.15/0.47    transitive_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f470,plain,(
% 0.15/0.47    antisymmetric_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f471,plain,(
% 0.15/0.47    with_suprema_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f474,plain,(
% 0.15/0.47    lower_bounded_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f475,plain,(
% 0.15/0.47    upper_bounded_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f477,plain,(
% 0.15/0.47    up_complete_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f478,plain,(
% 0.15/0.47    join_complete_relstr(sk0_11)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f464])).
% 0.15/0.47  fof(f482,plain,(
% 0.15/0.47    ((((((rel_str(sk0_13)&~empty_carrier(sk0_13))&strict_rel_str(sk0_13))&reflexive_relstr(sk0_13))&transitive_relstr(sk0_13))&antisymmetric_relstr(sk0_13))&complete_relstr(sk0_13))),
% 0.15/0.47    inference(skolemization,[status(esa)],[f91])).
% 0.15/0.47  fof(f483,plain,(
% 0.15/0.47    rel_str(sk0_13)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f482])).
% 0.15/0.47  fof(f485,plain,(
% 0.15/0.47    strict_rel_str(sk0_13)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f482])).
% 0.15/0.47  fof(f506,plain,(
% 0.15/0.47    ((((((((((((((((rel_str(sk0_18)&~empty_carrier(sk0_18))&~trivial_carrier(sk0_18))&strict_rel_str(sk0_18))&reflexive_relstr(sk0_18))&transitive_relstr(sk0_18))&antisymmetric_relstr(sk0_18))&lower_bounded_relstr(sk0_18))&upper_bounded_relstr(sk0_18))&bounded_relstr(sk0_18))&~v1_yellow_3(sk0_18))&distributive_relstr(sk0_18))&heyting_relstr(sk0_18))&complemented_relstr(sk0_18))&boolean_relstr(sk0_18))&with_suprema_relstr(sk0_18))&with_infima_relstr(sk0_18))),
% 0.15/0.47    inference(skolemization,[status(esa)],[f96])).
% 0.15/0.47  fof(f507,plain,(
% 0.15/0.47    rel_str(sk0_18)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f506])).
% 0.15/0.47  fof(f510,plain,(
% 0.15/0.47    strict_rel_str(sk0_18)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f506])).
% 0.15/0.47  fof(f524,plain,(
% 0.15/0.47    (((((((((rel_str(sk0_19)&~empty_carrier(sk0_19))&strict_rel_str(sk0_19))&reflexive_relstr(sk0_19))&transitive_relstr(sk0_19))&antisymmetric_relstr(sk0_19))&with_suprema_relstr(sk0_19))&with_infima_relstr(sk0_19))&complete_relstr(sk0_19))&trivial_carrier(sk0_19))),
% 0.15/0.47    inference(skolemization,[status(esa)],[f97])).
% 0.15/0.47  fof(f525,plain,(
% 0.15/0.47    rel_str(sk0_19)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f524])).
% 0.15/0.47  fof(f527,plain,(
% 0.15/0.47    strict_rel_str(sk0_19)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f524])).
% 0.15/0.47  fof(f691,plain,(
% 0.15/0.47    ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(![B]: ((((empty_carrier(B)|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|(![C]: (~element(C,the_carrier(A))|(in(C,lim_points_of_net(A,B))<=>is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C)))))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f125])).
% 0.15/0.47  fof(f692,plain,(
% 0.15/0.47    ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(![B]: ((((empty_carrier(B)|~transitive_relstr(B))|~directed_relstr(B))|~net_str(B,A))|(![C]: (~element(C,the_carrier(A))|((~in(C,lim_points_of_net(A,B))|is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C))&(in(C,lim_points_of_net(A,B))|~is_a_convergence_point_of_set(A,filter_of_net_str(A,B),C))))))))),
% 0.15/0.47    inference(NNF_transformation,[status(esa)],[f691])).
% 0.15/0.47  fof(f693,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X0))|~in(X2,lim_points_of_net(X0,X1))|is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f692])).
% 0.15/0.47  fof(f694,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0)|~element(X2,the_carrier(X0))|in(X2,lim_points_of_net(X0,X1))|~is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f692])).
% 0.15/0.47  fof(f695,plain,(
% 0.15/0.47    ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(![B]: (((((empty(B)|~filtered_subset(B,boole_POSet(cast_as_carrier_subset(A))))|~upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A))))|~proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))|~element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))|B=filter_of_net_str(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f126])).
% 0.15/0.47  fof(f696,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(X1)|~filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))|~upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))|~proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))|~element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))|X1=filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f695])).
% 0.15/0.47  fof(f697,plain,(
% 0.15/0.47    (?[A]: (((~empty_carrier(A)&topological_space(A))&top_str(A))&(?[B]: (((((~empty(B)&filtered_subset(B,boole_POSet(cast_as_carrier_subset(A))))&upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A))))&proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))&element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))&(?[C]: (element(C,the_carrier(A))&(in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))<~>is_a_convergence_point_of_set(A,B,C))))))))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f128])).
% 0.15/0.47  fof(f698,plain,(
% 0.15/0.47    ?[A]: (((~empty_carrier(A)&topological_space(A))&top_str(A))&(?[B]: (((((~empty(B)&filtered_subset(B,boole_POSet(cast_as_carrier_subset(A))))&upper_relstr_subset(B,boole_POSet(cast_as_carrier_subset(A))))&proper_element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))&element(B,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))&(?[C]: (element(C,the_carrier(A))&((in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))|is_a_convergence_point_of_set(A,B,C))&(~in(C,lim_points_of_net(A,net_of_bool_filter(A,cast_as_carrier_subset(A),B)))|~is_a_convergence_point_of_set(A,B,C))))))))),
% 0.15/0.47    inference(NNF_transformation,[status(esa)],[f697])).
% 0.15/0.47  fof(f699,plain,(
% 0.15/0.47    (((~empty_carrier(sk0_45)&topological_space(sk0_45))&top_str(sk0_45))&(((((~empty(sk0_46)&filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45))))&upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45))))&proper_element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45))))))&element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45))))))&(element(sk0_47,the_carrier(sk0_45))&((in(sk0_47,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,sk0_46,sk0_47))&(~in(sk0_47,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(sk0_45,sk0_46,sk0_47))))))),
% 0.15/0.47    inference(skolemization,[status(esa)],[f698])).
% 0.15/0.47  fof(f700,plain,(
% 0.15/0.47    ~empty_carrier(sk0_45)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f701,plain,(
% 0.15/0.47    topological_space(sk0_45)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f702,plain,(
% 0.15/0.47    top_str(sk0_45)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f703,plain,(
% 0.15/0.47    ~empty(sk0_46)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f704,plain,(
% 0.15/0.47    filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f705,plain,(
% 0.15/0.47    upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f706,plain,(
% 0.15/0.47    proper_element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f707,plain,(
% 0.15/0.47    element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f708,plain,(
% 0.15/0.47    element(sk0_47,the_carrier(sk0_45))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f709,plain,(
% 0.15/0.47    in(sk0_47,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,sk0_46,sk0_47)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f710,plain,(
% 0.15/0.47    ~in(sk0_47,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(sk0_45,sk0_46,sk0_47)),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f699])).
% 0.15/0.47  fof(f713,plain,(
% 0.15/0.47    ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.15/0.47    inference(pre_NNF_transformation,[status(esa)],[f130])).
% 0.15/0.47  fof(f714,plain,(
% 0.15/0.47    ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.15/0.47    inference(cnf_transformation,[status(esa)],[f713])).
% 0.15/0.47  fof(f738,plain,(
% 0.15/0.47    spl0_0 <=> in(sk0_47,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f739,plain,(
% 0.15/0.47    in(sk0_47,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~spl0_0),
% 0.15/0.47    inference(component_clause,[status(thm)],[f738])).
% 0.15/0.47  fof(f741,plain,(
% 0.15/0.47    spl0_1 <=> is_a_convergence_point_of_set(sk0_45,sk0_46,sk0_47)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f742,plain,(
% 0.15/0.47    is_a_convergence_point_of_set(sk0_45,sk0_46,sk0_47)|~spl0_1),
% 0.15/0.47    inference(component_clause,[status(thm)],[f741])).
% 0.15/0.47  fof(f744,plain,(
% 0.15/0.47    spl0_0|spl0_1),
% 0.15/0.47    inference(split_clause,[status(thm)],[f709,f738,f741])).
% 0.15/0.47  fof(f745,plain,(
% 0.15/0.47    ~spl0_0|~spl0_1),
% 0.15/0.47    inference(split_clause,[status(thm)],[f710,f738,f741])).
% 0.15/0.47  fof(f747,plain,(
% 0.15/0.47    one_sorted_str(sk0_45)),
% 0.15/0.47    inference(resolution,[status(thm)],[f262,f702])).
% 0.15/0.47  fof(f751,plain,(
% 0.15/0.47    spl0_2 <=> empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f752,plain,(
% 0.15/0.47    empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~spl0_2),
% 0.15/0.47    inference(component_clause,[status(thm)],[f751])).
% 0.15/0.47  fof(f754,plain,(
% 0.15/0.47    spl0_3 <=> in(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f757,plain,(
% 0.15/0.47    empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|in(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.47    inference(resolution,[status(thm)],[f714,f707])).
% 0.15/0.47  fof(f758,plain,(
% 0.15/0.47    spl0_2|spl0_3),
% 0.15/0.47    inference(split_clause,[status(thm)],[f757,f751,f754])).
% 0.15/0.47  fof(f761,plain,(
% 0.15/0.47    ![X0,X1]: (empty(powerset(the_carrier(X0)))|in(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))|empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0))),
% 0.15/0.47    inference(resolution,[status(thm)],[f714,f247])).
% 0.15/0.47  fof(f762,plain,(
% 0.15/0.47    ![X0,X1]: (in(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))|empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0))),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f761,f304])).
% 0.15/0.47  fof(f771,plain,(
% 0.15/0.47    $false|~spl0_2),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f752,f304])).
% 0.15/0.47  fof(f772,plain,(
% 0.15/0.47    ~spl0_2),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f771])).
% 0.15/0.47  fof(f779,plain,(
% 0.15/0.47    spl0_6 <=> one_sorted_str(sk0_45)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f781,plain,(
% 0.15/0.47    ~one_sorted_str(sk0_45)|spl0_6),
% 0.15/0.47    inference(component_clause,[status(thm)],[f779])).
% 0.15/0.47  fof(f787,plain,(
% 0.15/0.47    spl0_8 <=> empty_carrier(sk0_45)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f788,plain,(
% 0.15/0.47    empty_carrier(sk0_45)|~spl0_8),
% 0.15/0.47    inference(component_clause,[status(thm)],[f787])).
% 0.15/0.47  fof(f790,plain,(
% 0.15/0.47    spl0_9 <=> topological_space(sk0_45)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f792,plain,(
% 0.15/0.47    ~topological_space(sk0_45)|spl0_9),
% 0.15/0.47    inference(component_clause,[status(thm)],[f790])).
% 0.15/0.47  fof(f793,plain,(
% 0.15/0.47    spl0_10 <=> top_str(sk0_45)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f795,plain,(
% 0.15/0.47    ~top_str(sk0_45)|spl0_10),
% 0.15/0.47    inference(component_clause,[status(thm)],[f793])).
% 0.15/0.47  fof(f801,plain,(
% 0.15/0.47    $false|spl0_6),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f781,f747])).
% 0.15/0.47  fof(f802,plain,(
% 0.15/0.47    spl0_6),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f801])).
% 0.15/0.47  fof(f827,plain,(
% 0.15/0.47    spl0_12 <=> rel_str(sk0_11)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f829,plain,(
% 0.15/0.47    ~rel_str(sk0_11)|spl0_12),
% 0.15/0.47    inference(component_clause,[status(thm)],[f827])).
% 0.15/0.47  fof(f830,plain,(
% 0.15/0.47    spl0_13 <=> sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f833,plain,(
% 0.15/0.47    ~rel_str(sk0_11)|sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 0.15/0.47    inference(resolution,[status(thm)],[f467,f139])).
% 0.15/0.47  fof(f834,plain,(
% 0.15/0.47    ~spl0_12|spl0_13),
% 0.15/0.47    inference(split_clause,[status(thm)],[f833,f827,f830])).
% 0.15/0.47  fof(f835,plain,(
% 0.15/0.47    $false|spl0_12),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f829,f465])).
% 0.15/0.47  fof(f836,plain,(
% 0.15/0.47    spl0_12),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f835])).
% 0.15/0.47  fof(f841,plain,(
% 0.15/0.47    spl0_14 <=> empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f842,plain,(
% 0.15/0.47    empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~spl0_14),
% 0.15/0.47    inference(component_clause,[status(thm)],[f841])).
% 0.15/0.47  fof(f844,plain,(
% 0.15/0.47    spl0_15 <=> transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f846,plain,(
% 0.15/0.47    ~transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|spl0_15),
% 0.15/0.47    inference(component_clause,[status(thm)],[f844])).
% 0.15/0.47  fof(f847,plain,(
% 0.15/0.47    spl0_16 <=> directed_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f848,plain,(
% 0.15/0.47    directed_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~spl0_16),
% 0.15/0.47    inference(component_clause,[status(thm)],[f847])).
% 0.15/0.47  fof(f849,plain,(
% 0.15/0.47    ~directed_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|spl0_16),
% 0.15/0.47    inference(component_clause,[status(thm)],[f847])).
% 0.15/0.47  fof(f850,plain,(
% 0.15/0.47    spl0_17 <=> net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f852,plain,(
% 0.15/0.47    ~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|spl0_17),
% 0.15/0.47    inference(component_clause,[status(thm)],[f850])).
% 0.15/0.47  fof(f865,plain,(
% 0.15/0.47    spl0_18 <=> empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|directed_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f866,plain,(
% 0.15/0.47    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|directed_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~spl0_18)),
% 0.15/0.47    inference(component_clause,[status(thm)],[f865])).
% 0.15/0.47  fof(f868,plain,(
% 0.15/0.47    spl0_19 <=> empty(cast_as_carrier_subset(sk0_45))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f869,plain,(
% 0.15/0.47    empty(cast_as_carrier_subset(sk0_45))|~spl0_19),
% 0.15/0.47    inference(component_clause,[status(thm)],[f868])).
% 0.15/0.47  fof(f871,plain,(
% 0.15/0.47    spl0_20 <=> empty(sk0_46)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f872,plain,(
% 0.15/0.47    empty(sk0_46)|~spl0_20),
% 0.15/0.47    inference(component_clause,[status(thm)],[f871])).
% 0.15/0.47  fof(f874,plain,(
% 0.15/0.47    spl0_21 <=> filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f876,plain,(
% 0.15/0.47    ~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|spl0_21),
% 0.15/0.47    inference(component_clause,[status(thm)],[f874])).
% 0.15/0.47  fof(f877,plain,(
% 0.15/0.47    spl0_22 <=> proper_element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f879,plain,(
% 0.15/0.47    ~proper_element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|spl0_22),
% 0.15/0.47    inference(component_clause,[status(thm)],[f877])).
% 0.15/0.47  fof(f880,plain,(
% 0.15/0.47    spl0_23 <=> element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f882,plain,(
% 0.15/0.47    ~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|spl0_23),
% 0.15/0.47    inference(component_clause,[status(thm)],[f880])).
% 0.15/0.47  fof(f883,plain,(
% 0.15/0.47    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(cast_as_carrier_subset(sk0_45))|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~proper_element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|directed_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))),
% 0.15/0.47    inference(resolution,[status(thm)],[f384,f705])).
% 0.15/0.47  fof(f884,plain,(
% 0.15/0.47    spl0_18|spl0_19|spl0_20|~spl0_21|~spl0_22|~spl0_23),
% 0.15/0.47    inference(split_clause,[status(thm)],[f883,f865,f868,f871,f874,f877,f880])).
% 0.15/0.47  fof(f885,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(cast_as_carrier_subset(X1))|~element(cast_as_carrier_subset(X1),powerset(the_carrier(X0)))|empty(filter_of_net_str(X1,X2))|~filtered_subset(filter_of_net_str(X1,X2),boole_POSet(cast_as_carrier_subset(X1)))|~upper_relstr_subset(filter_of_net_str(X1,X2),boole_POSet(cast_as_carrier_subset(X1)))|~element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))|directed_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(X1),filter_of_net_str(X1,X2)))|empty_carrier(X1)|~one_sorted_str(X1)|empty_carrier(X2)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1))),
% 0.15/0.47    inference(resolution,[status(thm)],[f384,f361])).
% 0.15/0.47  fof(f886,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(X1),powerset(the_carrier(X0)))|empty(filter_of_net_str(X1,X2))|~filtered_subset(filter_of_net_str(X1,X2),boole_POSet(cast_as_carrier_subset(X1)))|~upper_relstr_subset(filter_of_net_str(X1,X2),boole_POSet(cast_as_carrier_subset(X1)))|~element(filter_of_net_str(X1,X2),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))|directed_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(X1),filter_of_net_str(X1,X2)))|empty_carrier(X1)|~one_sorted_str(X1)|empty_carrier(X2)|~transitive_relstr(X2)|~directed_relstr(X2)|~net_str(X2,X1))),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f885,f325])).
% 0.15/0.47  fof(f887,plain,(
% 0.15/0.47    spl0_24 <=> upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f889,plain,(
% 0.15/0.47    ~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|spl0_24),
% 0.15/0.47    inference(component_clause,[status(thm)],[f887])).
% 0.15/0.47  fof(f892,plain,(
% 0.15/0.47    $false|spl0_24),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f889,f705])).
% 0.15/0.47  fof(f893,plain,(
% 0.15/0.47    spl0_24),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f892])).
% 0.15/0.47  fof(f894,plain,(
% 0.15/0.47    $false|spl0_22),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f879,f706])).
% 0.15/0.47  fof(f895,plain,(
% 0.15/0.47    spl0_22),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f894])).
% 0.15/0.47  fof(f896,plain,(
% 0.15/0.47    $false|spl0_23),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f882,f707])).
% 0.15/0.47  fof(f897,plain,(
% 0.15/0.47    spl0_23),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f896])).
% 0.15/0.47  fof(f898,plain,(
% 0.15/0.47    $false|spl0_21),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f876,f704])).
% 0.15/0.47  fof(f899,plain,(
% 0.15/0.47    spl0_21),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f898])).
% 0.15/0.47  fof(f900,plain,(
% 0.15/0.47    $false|spl0_10),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f795,f702])).
% 0.15/0.47  fof(f901,plain,(
% 0.15/0.47    spl0_10),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f900])).
% 0.15/0.47  fof(f902,plain,(
% 0.15/0.47    $false|spl0_9),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f792,f701])).
% 0.15/0.47  fof(f903,plain,(
% 0.15/0.47    spl0_9),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f902])).
% 0.15/0.47  fof(f904,plain,(
% 0.15/0.47    $false|~spl0_20),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f872,f703])).
% 0.15/0.47  fof(f905,plain,(
% 0.15/0.47    ~spl0_20),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f904])).
% 0.15/0.47  fof(f906,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~element(X2,the_carrier(X1))|in(X2,lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(X1,filter_of_net_str(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X2)|~spl0_18)),
% 0.15/0.47    inference(resolution,[status(thm)],[f866,f694])).
% 0.15/0.47  fof(f907,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~element(X2,the_carrier(X1))|~in(X2,lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X1,filter_of_net_str(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X2)|~spl0_18)),
% 0.15/0.47    inference(resolution,[status(thm)],[f866,f693])).
% 0.15/0.47  fof(f908,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(X1)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~spl0_18)),
% 0.15/0.47    inference(resolution,[status(thm)],[f866,f762])).
% 0.15/0.47  fof(f909,plain,(
% 0.15/0.47    spl0_25 <=> empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(X1)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f910,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(X1)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|~spl0_25)),
% 0.15/0.47    inference(component_clause,[status(thm)],[f909])).
% 0.15/0.47  fof(f912,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(X1)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|empty_carrier(X0)|~one_sorted_str(X0)|empty(cast_as_carrier_subset(sk0_45))|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~spl0_18)),
% 0.15/0.47    inference(resolution,[status(thm)],[f908,f372])).
% 0.15/0.47  fof(f913,plain,(
% 0.15/0.47    spl0_25|spl0_19|spl0_20|~spl0_21|~spl0_24|~spl0_23|~spl0_18),
% 0.15/0.47    inference(split_clause,[status(thm)],[f912,f909,f868,f871,f874,f887,f880,f865])).
% 0.15/0.47  fof(f922,plain,(
% 0.15/0.47    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|~spl0_19),
% 0.15/0.47    inference(resolution,[status(thm)],[f869,f325])).
% 0.15/0.47  fof(f923,plain,(
% 0.15/0.47    spl0_8|~spl0_6|~spl0_19),
% 0.15/0.47    inference(split_clause,[status(thm)],[f922,f787,f779,f868])).
% 0.15/0.47  fof(f930,plain,(
% 0.15/0.47    $false|~spl0_8),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f788,f700])).
% 0.15/0.47  fof(f931,plain,(
% 0.15/0.47    ~spl0_8),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f930])).
% 0.15/0.47  fof(f932,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(X1)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~spl0_25)),
% 0.15/0.47    inference(duplicate_literals_removal,[status(esa)],[f910])).
% 0.15/0.47  fof(f936,plain,(
% 0.15/0.47    spl0_28 <=> empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(sk0_45,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(sk0_45)))|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f937,plain,(
% 0.15/0.47    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(sk0_45,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(sk0_45)))|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~spl0_28)),
% 0.15/0.47    inference(component_clause,[status(thm)],[f936])).
% 0.15/0.47  fof(f939,plain,(
% 0.15/0.47    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|in(lim_points_of_net(sk0_45,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(sk0_45)))|empty_carrier(sk0_45)|~top_str(sk0_45)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~spl0_25)),
% 0.15/0.47    inference(resolution,[status(thm)],[f932,f701])).
% 0.15/0.47  fof(f940,plain,(
% 0.15/0.47    spl0_28|spl0_8|~spl0_10|~spl0_25),
% 0.15/0.47    inference(split_clause,[status(thm)],[f939,f936,f787,f793,f909])).
% 0.15/0.47  fof(f941,plain,(
% 0.15/0.47    spl0_29 <=> element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f942,plain,(
% 0.15/0.47    element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|~spl0_29),
% 0.15/0.47    inference(component_clause,[status(thm)],[f941])).
% 0.15/0.47  fof(f943,plain,(
% 0.15/0.47    ~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|spl0_29),
% 0.15/0.47    inference(component_clause,[status(thm)],[f941])).
% 0.15/0.47  fof(f944,plain,(
% 0.15/0.47    spl0_30 <=> in(lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(sk0_45)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f947,plain,(
% 0.15/0.47    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|in(lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(sk0_45)))|empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|empty(cast_as_carrier_subset(sk0_45))|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~spl0_28),
% 0.15/0.47    inference(resolution,[status(thm)],[f937,f255])).
% 0.15/0.47  fof(f948,plain,(
% 0.15/0.47    spl0_8|~spl0_6|~spl0_29|spl0_30|spl0_14|spl0_19|spl0_20|~spl0_21|~spl0_24|~spl0_23|~spl0_28),
% 0.15/0.47    inference(split_clause,[status(thm)],[f947,f787,f779,f941,f944,f841,f868,f871,f874,f887,f880,f936])).
% 0.15/0.47  fof(f949,plain,(
% 0.15/0.47    ~one_sorted_str(sk0_45)|spl0_29),
% 0.15/0.47    inference(resolution,[status(thm)],[f943,f249])).
% 0.15/0.47  fof(f950,plain,(
% 0.15/0.47    ~spl0_6|spl0_29),
% 0.15/0.47    inference(split_clause,[status(thm)],[f949,f779,f941])).
% 0.15/0.47  fof(f953,plain,(
% 0.15/0.47    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|empty(cast_as_carrier_subset(sk0_45))|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~spl0_14),
% 0.15/0.47    inference(resolution,[status(thm)],[f842,f253])).
% 0.15/0.47  fof(f954,plain,(
% 0.15/0.47    spl0_8|~spl0_6|spl0_19|~spl0_29|spl0_20|~spl0_21|~spl0_24|~spl0_23|~spl0_14),
% 0.15/0.47    inference(split_clause,[status(thm)],[f953,f787,f779,f868,f941,f871,f874,f887,f880,f841])).
% 0.15/0.47  fof(f955,plain,(
% 0.15/0.47    spl0_31 <=> empty(powerset(the_carrier(sk0_45)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f956,plain,(
% 0.15/0.47    empty(powerset(the_carrier(sk0_45)))|~spl0_31),
% 0.15/0.47    inference(component_clause,[status(thm)],[f955])).
% 0.15/0.47  fof(f958,plain,(
% 0.15/0.47    spl0_32 <=> in(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f961,plain,(
% 0.15/0.47    empty(powerset(the_carrier(sk0_45)))|in(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|~spl0_29),
% 0.15/0.47    inference(resolution,[status(thm)],[f942,f714])).
% 0.15/0.47  fof(f962,plain,(
% 0.15/0.47    spl0_31|spl0_32|~spl0_29),
% 0.15/0.47    inference(split_clause,[status(thm)],[f961,f955,f958,f941])).
% 0.15/0.47  fof(f963,plain,(
% 0.15/0.47    $false|~spl0_31),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f956,f304])).
% 0.15/0.47  fof(f964,plain,(
% 0.15/0.47    ~spl0_31),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f963])).
% 0.15/0.47  fof(f967,plain,(
% 0.15/0.47    spl0_33 <=> empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~element(X2,the_carrier(X1))|~in(X2,lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X1,filter_of_net_str(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X2)|empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f968,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~element(X2,the_carrier(X1))|~in(X2,lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X1,filter_of_net_str(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X2)|empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|~spl0_33)),
% 0.15/0.47    inference(component_clause,[status(thm)],[f967])).
% 0.15/0.47  fof(f970,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~element(X2,the_carrier(X1))|~in(X2,lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X1,filter_of_net_str(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X2)|empty_carrier(X0)|~one_sorted_str(X0)|empty(cast_as_carrier_subset(sk0_45))|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~spl0_18)),
% 0.15/0.47    inference(resolution,[status(thm)],[f907,f372])).
% 0.15/0.47  fof(f971,plain,(
% 0.15/0.47    spl0_33|spl0_19|spl0_20|~spl0_21|~spl0_24|~spl0_23|~spl0_18),
% 0.15/0.47    inference(split_clause,[status(thm)],[f970,f967,f868,f871,f874,f887,f880,f865])).
% 0.15/0.47  fof(f972,plain,(
% 0.15/0.47    ![X0,X1,X2]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(X1)|~topological_space(X1)|~top_str(X1)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),X1)|~element(X2,the_carrier(X1))|~in(X2,lim_points_of_net(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X1,filter_of_net_str(X1,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X2)|~spl0_33)),
% 0.15/0.47    inference(duplicate_literals_removal,[status(esa)],[f968])).
% 0.15/0.47  fof(f977,plain,(
% 0.15/0.47    spl0_34 <=> sk0_46=filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f978,plain,(
% 0.15/0.47    sk0_46=filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~spl0_34),
% 0.15/0.47    inference(component_clause,[status(thm)],[f977])).
% 0.15/0.47  fof(f980,plain,(
% 0.15/0.47    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~proper_element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|sk0_46=filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))),
% 0.15/0.47    inference(resolution,[status(thm)],[f696,f705])).
% 0.15/0.47  fof(f981,plain,(
% 0.15/0.47    spl0_8|~spl0_6|spl0_20|~spl0_21|~spl0_22|~spl0_23|spl0_34),
% 0.15/0.47    inference(split_clause,[status(thm)],[f980,f787,f779,f871,f874,f877,f880,f977])).
% 0.15/0.47  fof(f982,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(filter_of_net_str(X0,X1))|~filtered_subset(filter_of_net_str(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))|~upper_relstr_subset(filter_of_net_str(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))|~element(filter_of_net_str(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))|filter_of_net_str(X0,X1)=filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),filter_of_net_str(X0,X1)))|empty_carrier(X0)|~one_sorted_str(X0)|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0))),
% 0.15/0.47    inference(resolution,[status(thm)],[f696,f361])).
% 0.15/0.47  fof(f983,plain,(
% 0.15/0.47    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|empty(filter_of_net_str(X0,X1))|~filtered_subset(filter_of_net_str(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))|~upper_relstr_subset(filter_of_net_str(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))|~element(filter_of_net_str(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))|filter_of_net_str(X0,X1)=filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),filter_of_net_str(X0,X1)))|empty_carrier(X1)|~transitive_relstr(X1)|~directed_relstr(X1)|~net_str(X1,X0))),
% 0.15/0.47    inference(duplicate_literals_removal,[status(esa)],[f982])).
% 0.15/0.47  fof(f1000,plain,(
% 0.15/0.47    spl0_35 <=> rel_str(sk0_13)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1002,plain,(
% 0.15/0.47    ~rel_str(sk0_13)|spl0_35),
% 0.15/0.47    inference(component_clause,[status(thm)],[f1000])).
% 0.15/0.47  fof(f1003,plain,(
% 0.15/0.47    spl0_36 <=> sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1006,plain,(
% 0.15/0.47    ~rel_str(sk0_13)|sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 0.15/0.47    inference(resolution,[status(thm)],[f485,f139])).
% 0.15/0.47  fof(f1007,plain,(
% 0.15/0.47    ~spl0_35|spl0_36),
% 0.15/0.47    inference(split_clause,[status(thm)],[f1006,f1000,f1003])).
% 0.15/0.47  fof(f1008,plain,(
% 0.15/0.47    $false|spl0_35),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f1002,f483])).
% 0.15/0.47  fof(f1009,plain,(
% 0.15/0.47    spl0_35),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f1008])).
% 0.15/0.47  fof(f1014,plain,(
% 0.15/0.47    spl0_37 <=> rel_str(sk0_18)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1016,plain,(
% 0.15/0.47    ~rel_str(sk0_18)|spl0_37),
% 0.15/0.47    inference(component_clause,[status(thm)],[f1014])).
% 0.15/0.47  fof(f1017,plain,(
% 0.15/0.47    spl0_38 <=> sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1020,plain,(
% 0.15/0.47    ~rel_str(sk0_18)|sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 0.15/0.47    inference(resolution,[status(thm)],[f510,f139])).
% 0.15/0.47  fof(f1021,plain,(
% 0.15/0.47    ~spl0_37|spl0_38),
% 0.15/0.47    inference(split_clause,[status(thm)],[f1020,f1014,f1017])).
% 0.15/0.47  fof(f1022,plain,(
% 0.15/0.47    $false|spl0_37),
% 0.15/0.47    inference(forward_subsumption_resolution,[status(thm)],[f1016,f507])).
% 0.15/0.47  fof(f1023,plain,(
% 0.15/0.47    spl0_37),
% 0.15/0.47    inference(contradiction_clause,[status(thm)],[f1022])).
% 0.15/0.47  fof(f1024,plain,(
% 0.15/0.47    spl0_39 <=> empty_carrier(sk0_11)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1025,plain,(
% 0.15/0.47    empty_carrier(sk0_11)|~spl0_39),
% 0.15/0.47    inference(component_clause,[status(thm)],[f1024])).
% 0.15/0.47  fof(f1027,plain,(
% 0.15/0.47    spl0_40 <=> reflexive_relstr(sk0_11)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1029,plain,(
% 0.15/0.47    ~reflexive_relstr(sk0_11)|spl0_40),
% 0.15/0.47    inference(component_clause,[status(thm)],[f1027])).
% 0.15/0.47  fof(f1030,plain,(
% 0.15/0.47    spl0_41 <=> transitive_relstr(sk0_11)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1032,plain,(
% 0.15/0.47    ~transitive_relstr(sk0_11)|spl0_41),
% 0.15/0.47    inference(component_clause,[status(thm)],[f1030])).
% 0.15/0.47  fof(f1033,plain,(
% 0.15/0.47    spl0_42 <=> antisymmetric_relstr(sk0_11)),
% 0.15/0.47    introduced(split_symbol_definition)).
% 0.15/0.47  fof(f1035,plain,(
% 0.15/0.47    ~antisymmetric_relstr(sk0_11)|spl0_42),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1033])).
% 0.15/0.48  fof(f1036,plain,(
% 0.15/0.48    spl0_43 <=> lower_bounded_relstr(sk0_11)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1038,plain,(
% 0.15/0.48    ~lower_bounded_relstr(sk0_11)|spl0_43),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1036])).
% 0.15/0.48  fof(f1039,plain,(
% 0.15/0.48    spl0_44 <=> up_complete_relstr(sk0_11)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1041,plain,(
% 0.15/0.48    ~up_complete_relstr(sk0_11)|spl0_44),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1039])).
% 0.15/0.48  fof(f1042,plain,(
% 0.15/0.48    spl0_45 <=> complete_relstr(sk0_11)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1045,plain,(
% 0.15/0.48    ~rel_str(sk0_11)|empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~transitive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~lower_bounded_relstr(sk0_11)|~up_complete_relstr(sk0_11)|complete_relstr(sk0_11)),
% 0.15/0.48    inference(resolution,[status(thm)],[f160,f471])).
% 0.15/0.48  fof(f1046,plain,(
% 0.15/0.48    ~spl0_12|spl0_39|~spl0_40|~spl0_41|~spl0_42|~spl0_43|~spl0_44|spl0_45),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1045,f827,f1024,f1027,f1030,f1033,f1036,f1039,f1042])).
% 0.15/0.48  fof(f1047,plain,(
% 0.15/0.48    $false|spl0_44),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1041,f477])).
% 0.15/0.48  fof(f1048,plain,(
% 0.15/0.48    spl0_44),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1047])).
% 0.15/0.48  fof(f1049,plain,(
% 0.15/0.48    $false|spl0_43),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1038,f474])).
% 0.15/0.48  fof(f1050,plain,(
% 0.15/0.48    spl0_43),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1049])).
% 0.15/0.48  fof(f1051,plain,(
% 0.15/0.48    $false|spl0_42),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1035,f470])).
% 0.15/0.48  fof(f1052,plain,(
% 0.15/0.48    spl0_42),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1051])).
% 0.15/0.48  fof(f1053,plain,(
% 0.15/0.48    $false|spl0_41),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1032,f469])).
% 0.15/0.48  fof(f1054,plain,(
% 0.15/0.48    spl0_41),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1053])).
% 0.15/0.48  fof(f1055,plain,(
% 0.15/0.48    $false|spl0_40),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1029,f468])).
% 0.15/0.48  fof(f1056,plain,(
% 0.15/0.48    spl0_40),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1055])).
% 0.15/0.48  fof(f1057,plain,(
% 0.15/0.48    $false|~spl0_39),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1025,f466])).
% 0.15/0.48  fof(f1058,plain,(
% 0.15/0.48    ~spl0_39),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1057])).
% 0.15/0.48  fof(f1059,plain,(
% 0.15/0.48    spl0_46 <=> ~element(X0,the_carrier(sk0_45))|in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(sk0_45,sk0_46,X0)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1060,plain,(
% 0.15/0.48    ![X0]: (~element(X0,the_carrier(sk0_45))|in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(sk0_45,sk0_46,X0)|~spl0_46)),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1059])).
% 0.15/0.48  fof(f1062,plain,(
% 0.15/0.48    ![X0]: (empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|empty_carrier(sk0_45)|~topological_space(sk0_45)|~top_str(sk0_45)|empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~element(X0,the_carrier(sk0_45))|in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(sk0_45,sk0_46,X0)|~spl0_18|~spl0_34)),
% 0.15/0.48    inference(paramodulation,[status(thm)],[f978,f906])).
% 0.15/0.48  fof(f1063,plain,(
% 0.15/0.48    spl0_8|~spl0_6|~spl0_29|~spl0_9|~spl0_10|spl0_14|~spl0_15|~spl0_17|spl0_46|~spl0_18|~spl0_34),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1062,f787,f779,f941,f790,f793,f841,f844,f850,f1059,f865,f977])).
% 0.15/0.48  fof(f1064,plain,(
% 0.15/0.48    spl0_47 <=> empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|directed_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))))),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1067,plain,(
% 0.15/0.48    spl0_48 <=> empty(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1068,plain,(
% 0.15/0.48    empty(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~spl0_48),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1067])).
% 0.15/0.48  fof(f1070,plain,(
% 0.15/0.48    spl0_49 <=> filtered_subset(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),boole_POSet(cast_as_carrier_subset(sk0_45)))),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1072,plain,(
% 0.15/0.48    ~filtered_subset(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),boole_POSet(cast_as_carrier_subset(sk0_45)))|spl0_49),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1070])).
% 0.15/0.48  fof(f1073,plain,(
% 0.15/0.48    spl0_50 <=> element(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1075,plain,(
% 0.15/0.48    ~element(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|spl0_50),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1073])).
% 0.15/0.48  fof(f1076,plain,(
% 0.15/0.48    ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~filtered_subset(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|directed_relstr(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))))|empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~directed_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~spl0_34)),
% 0.15/0.48    inference(paramodulation,[status(thm)],[f978,f886])).
% 0.15/0.48  fof(f1077,plain,(
% 0.15/0.48    spl0_47|spl0_48|~spl0_49|~spl0_24|~spl0_50|spl0_8|~spl0_6|spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_34),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1076,f1064,f1067,f1070,f887,f1073,f787,f779,f841,f844,f847,f850,f977])).
% 0.15/0.48  fof(f1078,plain,(
% 0.15/0.48    spl0_51 <=> filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))=filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))))),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1081,plain,(
% 0.15/0.48    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|empty(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~filtered_subset(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))=filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))))|empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~directed_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~spl0_34),
% 0.15/0.48    inference(paramodulation,[status(thm)],[f978,f983])).
% 0.15/0.48  fof(f1082,plain,(
% 0.15/0.48    spl0_8|~spl0_6|spl0_48|~spl0_49|~spl0_24|~spl0_50|spl0_51|spl0_14|~spl0_15|~spl0_16|~spl0_17|~spl0_34),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1081,f787,f779,f1067,f1070,f887,f1073,f1078,f841,f844,f847,f850,f977])).
% 0.15/0.48  fof(f1085,plain,(
% 0.15/0.48    ~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|~spl0_34|spl0_50),
% 0.15/0.48    inference(forward_demodulation,[status(thm)],[f978,f1075])).
% 0.15/0.48  fof(f1086,plain,(
% 0.15/0.48    $false|~spl0_34|spl0_50),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1085,f707])).
% 0.15/0.48  fof(f1087,plain,(
% 0.15/0.48    ~spl0_34|spl0_50),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1086])).
% 0.15/0.48  fof(f1088,plain,(
% 0.15/0.48    ~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~spl0_34|spl0_49),
% 0.15/0.48    inference(forward_demodulation,[status(thm)],[f978,f1072])).
% 0.15/0.48  fof(f1089,plain,(
% 0.15/0.48    $false|~spl0_34|spl0_49),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1088,f704])).
% 0.15/0.48  fof(f1090,plain,(
% 0.15/0.48    ~spl0_34|spl0_49),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1089])).
% 0.15/0.48  fof(f1093,plain,(
% 0.15/0.48    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|spl0_16|~spl0_18),
% 0.15/0.48    inference(resolution,[status(thm)],[f849,f866])).
% 0.15/0.48  fof(f1094,plain,(
% 0.15/0.48    spl0_8|~spl0_6|~spl0_29|spl0_16|~spl0_18),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1093,f787,f779,f941,f847,f865])).
% 0.15/0.48  fof(f1095,plain,(
% 0.15/0.48    spl0_52 <=> empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)|~element(X1,the_carrier(X0))|in(X1,lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(X0,filter_of_net_str(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X1)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1096,plain,(
% 0.15/0.48    ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)|~element(X1,the_carrier(X0))|in(X1,lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(X0,filter_of_net_str(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X1)|~spl0_52)),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1095])).
% 0.15/0.48  fof(f1098,plain,(
% 0.15/0.48    ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)|~element(X1,the_carrier(X0))|in(X1,lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(X0,filter_of_net_str(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X1)|~spl0_16)),
% 0.15/0.48    inference(resolution,[status(thm)],[f848,f694])).
% 0.15/0.48  fof(f1099,plain,(
% 0.15/0.48    spl0_52|spl0_14|~spl0_15|~spl0_16),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1098,f1095,f841,f844,f847])).
% 0.15/0.48  fof(f1100,plain,(
% 0.15/0.48    spl0_53 <=> empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)|~element(X1,the_carrier(X0))|~in(X1,lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X0,filter_of_net_str(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X1)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1101,plain,(
% 0.15/0.48    ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)|~element(X1,the_carrier(X0))|~in(X1,lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X0,filter_of_net_str(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X1)|~spl0_53)),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1100])).
% 0.15/0.48  fof(f1103,plain,(
% 0.15/0.48    ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)|~element(X1,the_carrier(X0))|~in(X1,lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(X0,filter_of_net_str(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X1)|~spl0_16)),
% 0.15/0.48    inference(resolution,[status(thm)],[f848,f693])).
% 0.15/0.48  fof(f1104,plain,(
% 0.15/0.48    spl0_53|spl0_14|~spl0_15|~spl0_16),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1103,f1100,f841,f844,f847])).
% 0.15/0.48  fof(f1105,plain,(
% 0.15/0.48    spl0_54 <=> in(lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(X0)))|empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1108,plain,(
% 0.15/0.48    ![X0]: (in(lim_points_of_net(X0,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),powerset(the_carrier(X0)))|empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|empty_carrier(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~transitive_relstr(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),X0)|~spl0_16)),
% 0.15/0.48    inference(resolution,[status(thm)],[f848,f762])).
% 0.15/0.48  fof(f1109,plain,(
% 0.15/0.48    spl0_54|spl0_14|~spl0_15|~spl0_16),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1108,f1105,f841,f844,f847])).
% 0.15/0.48  fof(f1110,plain,(
% 0.15/0.48    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|empty(cast_as_carrier_subset(sk0_45))|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|spl0_15),
% 0.15/0.48    inference(resolution,[status(thm)],[f846,f372])).
% 0.15/0.48  fof(f1111,plain,(
% 0.15/0.48    spl0_8|~spl0_6|spl0_19|~spl0_29|spl0_20|~spl0_21|~spl0_24|~spl0_23|spl0_15),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1110,f787,f779,f868,f941,f871,f874,f887,f880,f844])).
% 0.15/0.48  fof(f1114,plain,(
% 0.15/0.48    empty_carrier(sk0_45)|~one_sorted_str(sk0_45)|empty(cast_as_carrier_subset(sk0_45))|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(sk0_45)))|empty(sk0_46)|~filtered_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~upper_relstr_subset(sk0_46,boole_POSet(cast_as_carrier_subset(sk0_45)))|~element(sk0_46,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_45)))))|spl0_17),
% 0.15/0.48    inference(resolution,[status(thm)],[f852,f255])).
% 0.15/0.48  fof(f1115,plain,(
% 0.15/0.48    spl0_8|~spl0_6|spl0_19|~spl0_29|spl0_20|~spl0_21|~spl0_24|~spl0_23|spl0_17),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1114,f787,f779,f868,f941,f871,f874,f887,f880,f850])).
% 0.15/0.48  fof(f1116,plain,(
% 0.15/0.48    empty(sk0_46)|~spl0_34|~spl0_48),
% 0.15/0.48    inference(forward_demodulation,[status(thm)],[f978,f1068])).
% 0.15/0.48  fof(f1117,plain,(
% 0.15/0.48    $false|~spl0_34|~spl0_48),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1116,f703])).
% 0.15/0.48  fof(f1118,plain,(
% 0.15/0.48    ~spl0_34|~spl0_48),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1117])).
% 0.15/0.48  fof(f1130,plain,(
% 0.15/0.48    spl0_55 <=> element(sk0_47,the_carrier(sk0_45))),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1132,plain,(
% 0.15/0.48    ~element(sk0_47,the_carrier(sk0_45))|spl0_55),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1130])).
% 0.15/0.48  fof(f1133,plain,(
% 0.15/0.48    ~element(sk0_47,the_carrier(sk0_45))|in(sk0_47,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~spl0_46|~spl0_1),
% 0.15/0.48    inference(resolution,[status(thm)],[f1060,f742])).
% 0.15/0.48  fof(f1134,plain,(
% 0.15/0.48    ~spl0_55|spl0_0|~spl0_46|~spl0_1),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1133,f1130,f738,f1059,f741])).
% 0.15/0.48  fof(f1135,plain,(
% 0.15/0.48    $false|spl0_55),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1132,f708])).
% 0.15/0.48  fof(f1136,plain,(
% 0.15/0.48    spl0_55),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1135])).
% 0.15/0.48  fof(f1143,plain,(
% 0.15/0.48    spl0_56 <=> empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~element(X1,the_carrier(sk0_45))|~in(X1,lim_points_of_net(sk0_45,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,filter_of_net_str(sk0_45,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X1)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1146,plain,(
% 0.15/0.48    ![X0,X1]: (empty_carrier(X0)|~one_sorted_str(X0)|~element(cast_as_carrier_subset(sk0_45),powerset(the_carrier(X0)))|empty_carrier(sk0_45)|~top_str(sk0_45)|empty_carrier(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46))|~net_str(net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~element(X1,the_carrier(sk0_45))|~in(X1,lim_points_of_net(sk0_45,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,filter_of_net_str(sk0_45,net_of_bool_filter(X0,cast_as_carrier_subset(sk0_45),sk0_46)),X1)|~spl0_33)),
% 0.15/0.48    inference(resolution,[status(thm)],[f972,f701])).
% 0.15/0.48  fof(f1147,plain,(
% 0.15/0.48    spl0_56|spl0_8|~spl0_10|~spl0_33),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1146,f1143,f787,f793,f967])).
% 0.15/0.48  fof(f1191,plain,(
% 0.15/0.48    spl0_64 <=> rel_str(sk0_19)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1193,plain,(
% 0.15/0.48    ~rel_str(sk0_19)|spl0_64),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1191])).
% 0.15/0.48  fof(f1194,plain,(
% 0.15/0.48    spl0_65 <=> sk0_19=rel_str_of(the_carrier(sk0_19),the_InternalRel(sk0_19))),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1197,plain,(
% 0.15/0.48    ~rel_str(sk0_19)|sk0_19=rel_str_of(the_carrier(sk0_19),the_InternalRel(sk0_19))),
% 0.15/0.48    inference(resolution,[status(thm)],[f527,f139])).
% 0.15/0.48  fof(f1198,plain,(
% 0.15/0.48    ~spl0_64|spl0_65),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1197,f1191,f1194])).
% 0.15/0.48  fof(f1199,plain,(
% 0.15/0.48    $false|spl0_64),
% 0.15/0.48    inference(forward_subsumption_resolution,[status(thm)],[f1193,f525])).
% 0.15/0.48  fof(f1200,plain,(
% 0.15/0.48    spl0_64),
% 0.15/0.48    inference(contradiction_clause,[status(thm)],[f1199])).
% 0.15/0.48  fof(f1201,plain,(
% 0.15/0.48    spl0_66 <=> upper_bounded_relstr(sk0_11)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1203,plain,(
% 0.15/0.48    ~upper_bounded_relstr(sk0_11)|spl0_66),
% 0.15/0.48    inference(component_clause,[status(thm)],[f1201])).
% 0.15/0.48  fof(f1204,plain,(
% 0.15/0.48    spl0_67 <=> with_suprema_relstr(sk0_11)),
% 0.15/0.48    introduced(split_symbol_definition)).
% 0.15/0.48  fof(f1207,plain,(
% 0.15/0.48    ~rel_str(sk0_11)|empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~upper_bounded_relstr(sk0_11)|with_suprema_relstr(sk0_11)),
% 0.15/0.48    inference(resolution,[status(thm)],[f173,f478])).
% 0.15/0.48  fof(f1208,plain,(
% 0.15/0.48    ~spl0_12|spl0_39|~spl0_40|~spl0_42|~spl0_66|spl0_67),
% 0.15/0.48    inference(split_clause,[status(thm)],[f1207,f827,f1024,f1027,f1033,f1201,f1204])).
% 0.15/0.48  fof(f1211,plain,(
% 0.15/0.48    $false|spl0_66),
% 0.15/0.49    inference(forward_subsumption_resolution,[status(thm)],[f1203,f475])).
% 0.15/0.49  fof(f1212,plain,(
% 0.15/0.49    spl0_66),
% 0.15/0.49    inference(contradiction_clause,[status(thm)],[f1211])).
% 0.15/0.49  fof(f1217,plain,(
% 0.15/0.49    spl0_68 <=> ~element(X0,the_carrier(sk0_45))|in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(sk0_45,filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X0)),
% 0.15/0.49    introduced(split_symbol_definition)).
% 0.15/0.49  fof(f1220,plain,(
% 0.15/0.49    ![X0]: (empty_carrier(sk0_45)|~top_str(sk0_45)|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~element(X0,the_carrier(sk0_45))|in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|~is_a_convergence_point_of_set(sk0_45,filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X0)|~spl0_52)),
% 0.15/0.49    inference(resolution,[status(thm)],[f1096,f701])).
% 0.15/0.49  fof(f1221,plain,(
% 0.15/0.49    spl0_8|~spl0_10|~spl0_17|spl0_68|~spl0_52),
% 0.15/0.49    inference(split_clause,[status(thm)],[f1220,f787,f793,f850,f1217,f1095])).
% 0.15/0.49  fof(f1222,plain,(
% 0.15/0.49    spl0_69 <=> ~element(X0,the_carrier(sk0_45))|~in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X0)),
% 0.15/0.49    introduced(split_symbol_definition)).
% 0.15/0.49  fof(f1223,plain,(
% 0.15/0.49    ![X0]: (~element(X0,the_carrier(sk0_45))|~in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X0)|~spl0_69)),
% 0.15/0.49    inference(component_clause,[status(thm)],[f1222])).
% 0.15/0.49  fof(f1225,plain,(
% 0.15/0.49    ![X0]: (empty_carrier(sk0_45)|~top_str(sk0_45)|~net_str(net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46),sk0_45)|~element(X0,the_carrier(sk0_45))|~in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,filter_of_net_str(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)),X0)|~spl0_53)),
% 0.15/0.49    inference(resolution,[status(thm)],[f1101,f701])).
% 0.15/0.49  fof(f1226,plain,(
% 0.15/0.49    spl0_8|~spl0_10|~spl0_17|spl0_69|~spl0_53),
% 0.15/0.49    inference(split_clause,[status(thm)],[f1225,f787,f793,f850,f1222,f1100])).
% 0.15/0.49  fof(f1227,plain,(
% 0.15/0.49    ![X0]: (~element(X0,the_carrier(sk0_45))|~in(X0,lim_points_of_net(sk0_45,net_of_bool_filter(sk0_45,cast_as_carrier_subset(sk0_45),sk0_46)))|is_a_convergence_point_of_set(sk0_45,sk0_46,X0)|~spl0_34|~spl0_69)),
% 0.15/0.49    inference(forward_demodulation,[status(thm)],[f978,f1223])).
% 0.15/0.49  fof(f1228,plain,(
% 0.15/0.49    ~element(sk0_47,the_carrier(sk0_45))|is_a_convergence_point_of_set(sk0_45,sk0_46,sk0_47)|~spl0_34|~spl0_69|~spl0_0),
% 0.15/0.49    inference(resolution,[status(thm)],[f1227,f739])).
% 0.15/0.49  fof(f1229,plain,(
% 0.15/0.49    ~spl0_55|spl0_1|~spl0_34|~spl0_69|~spl0_0),
% 0.15/0.49    inference(split_clause,[status(thm)],[f1228,f1130,f741,f977,f1222,f738])).
% 0.15/0.49  fof(f1230,plain,(
% 0.15/0.49    $false),
% 0.15/0.49    inference(sat_refutation,[status(thm)],[f744,f745,f758,f772,f802,f834,f836,f884,f893,f895,f897,f899,f901,f903,f905,f913,f923,f931,f940,f948,f950,f954,f962,f964,f971,f981,f1007,f1009,f1021,f1023,f1046,f1048,f1050,f1052,f1054,f1056,f1058,f1063,f1077,f1082,f1087,f1090,f1094,f1099,f1104,f1109,f1111,f1115,f1118,f1134,f1136,f1147,f1198,f1200,f1208,f1212,f1221,f1226,f1229])).
% 0.15/0.49  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49  % Elapsed time: 0.177241 seconds
% 0.15/0.49  % CPU time: 0.991582 seconds
% 0.15/0.49  % Memory used: 67.398 MB
%------------------------------------------------------------------------------