TSTP Solution File: SEU388+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:36:53 EDT 2023
% Result : Theorem 13.95s 2.14s
% Output : CNFRefutation 14.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 08:45:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 13.95/2.14 % Refutation found
% 13.95/2.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.95/2.14 % SZS output start CNFRefutation for theBenchmark
% 13.95/2.14 fof(f1,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( strict_rel_str(A)=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f2,axiom,(
% 13.95/2.14 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f3,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& reflexive_relstr(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& reflexive_relstr(A)& up_complete_relstr(A)& join_complete_relstr(A) ) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f4,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& reflexive_relstr(A)& join_complete_relstr(A) )=> ( ~ empty_carrier(A)& reflexive_relstr(A)& lower_bounded_relstr(A) ) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f5,axiom,(
% 13.95/2.14 (! [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) ) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f8,axiom,(
% 13.95/2.14 (! [A] :( empty(A)=> finite(A) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f9,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( with_suprema_relstr(A)=> ~ empty_carrier(A) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f12,axiom,(
% 13.95/2.14 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> ( open_subset(B,A)& closed_subset(B,A) ) ) ) )) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f13,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& with_suprema_relstr(A)& with_infima_relstr(A) ) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f14,axiom,(
% 13.95/2.14 (! [A] :( finite(A)=> (! [B] :( element(B,powerset(A))=> finite(B) ) )) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f16,axiom,(
% 13.95/2.14 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> boundary_set(B,A) ) ) )) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f18,axiom,(
% 13.95/2.14 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( empty(B)=> nowhere_dense(B,A) ) ) )) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f19,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& complete_relstr(A) )=> ( ~ empty_carrier(A)& bounded_relstr(A) ) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f20,axiom,(
% 13.95/2.14 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( nowhere_dense(B,A)=> boundary_set(B,A) ) ) )) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f21,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( bounded_relstr(A)=> ( lower_bounded_relstr(A)& upper_bounded_relstr(A) ) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f22,axiom,(
% 13.95/2.14 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> ( ( closed_subset(B,A)& boundary_set(B,A) )=> ( boundary_set(B,A)& nowhere_dense(B,A) ) ) ) )) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f23,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( ( ~ empty_carrier(A)& reflexive_relstr(A)& trivial_carrier(A) )=> ( ~ empty_carrier(A)& reflexive_relstr(A)& connected_relstr(A) ) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f24,axiom,(
% 13.95/2.14 (! [A] :( rel_str(A)=> ( ( lower_bounded_relstr(A)& upper_bounded_relstr(A) )=> bounded_relstr(A) ) ) )),
% 13.95/2.14 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.14 fof(f25,axiom,(
% 13.95/2.15 (! [A] :( ( topological_space(A)& top_str(A) )=> (! [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) ) ) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f26,axiom,(
% 13.95/2.15 (! [A] :( rel_str(A)=> ( ( reflexive_relstr(A)& with_suprema_relstr(A)& up_complete_relstr(A) )=> ( ~ empty_carrier(A)& reflexive_relstr(A)& with_suprema_relstr(A)& upper_bounded_relstr(A) ) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f27,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( element(B,the_carrier(A))=> neighborhood_system(A,B) = a_2_0_yellow19(A,B) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f30,axiom,(
% 13.95/2.15 (! [A,B] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A)& element(B,the_carrier(A)) )=> element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f32,axiom,(
% 13.95/2.15 (! [A] :( one_sorted_str(A)=> element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f35,axiom,(
% 13.95/2.15 (! [A] :( rel_str(A)=> one_sorted_str(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f36,axiom,(
% 13.95/2.15 (! [A] :( top_str(A)=> one_sorted_str(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f38,axiom,(
% 13.95/2.15 (! [A,B] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A)& element(B,the_carrier(A)) )=> (! [C] :( point_neighbourhood(C,A,B)=> element(C,powerset(the_carrier(A))) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f45,axiom,(
% 13.95/2.15 (? [A] : top_str(A) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f47,axiom,(
% 13.95/2.15 (! [A,B] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A)& element(B,the_carrier(A)) )=> (? [C] : point_neighbourhood(C,A,B) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f49,axiom,(
% 13.95/2.15 (! [A] :(? [B] : element(B,A) ))),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f51,axiom,(
% 13.95/2.15 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f53,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& rel_str(A) )=> ( ~ empty(cast_as_carrier_subset(A))& lower_relstr_subset(cast_as_carrier_subset(A),A)& upper_relstr_subset(cast_as_carrier_subset(A),A) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f55,axiom,(
% 13.95/2.15 (! [A] : ~ empty(powerset(A)) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f56,axiom,(
% 13.95/2.15 (! [A] :( ~ empty_carrier(boole_POSet(A))& strict_rel_str(boole_POSet(A))& reflexive_relstr(boole_POSet(A))& transitive_relstr(boole_POSet(A))& antisymmetric_relstr(boole_POSet(A))& lower_bounded_relstr(boole_POSet(A))& upper_bounded_relstr(boole_POSet(A))& bounded_relstr(boole_POSet(A))& up_complete_relstr(boole_POSet(A))& join_complete_relstr(boole_POSet(A))& ~ v1_yellow_3(boole_POSet(A))& distributive_relstr(boole_POSet(A))& heyting_relstr(boole_POSet(A))& complemented_relstr(boole_POSet(A))& boolean_relstr(boole_POSet(A))& with_suprema_relstr(boole_POSet(A))& with_infima_relstr(boole_POSet(A))& complete_relstr(boole_POSet(A)) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f58,axiom,(
% 13.95/2.15 (! [A] :( ( with_suprema_relstr(A)& rel_str(A) )=> ( ~ empty(cast_as_carrier_subset(A))& directed_subset(cast_as_carrier_subset(A),A) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f61,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& upper_bounded_relstr(A)& rel_str(A) )=> ( ~ empty(cast_as_carrier_subset(A))& directed_subset(cast_as_carrier_subset(A),A) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f64,axiom,(
% 13.95/2.15 (! [A] :( ( with_infima_relstr(A)& rel_str(A) )=> ( ~ empty(cast_as_carrier_subset(A))& filtered_subset(cast_as_carrier_subset(A),A) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f65,axiom,(
% 13.95/2.15 (! [A] :( ( topological_space(A)& top_str(A) )=> closed_subset(cast_as_carrier_subset(A),A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f66,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& lower_bounded_relstr(A)& rel_str(A) )=> ( ~ empty(cast_as_carrier_subset(A))& filtered_subset(cast_as_carrier_subset(A),A) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f68,axiom,(
% 13.95/2.15 (! [A] :( ( topological_space(A)& top_str(A) )=> ( open_subset(cast_as_carrier_subset(A),A)& closed_subset(cast_as_carrier_subset(A),A) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f72,axiom,(
% 13.95/2.15 (! [A,B,C] :( ( ~ empty_carrier(B)& topological_space(B)& top_str(B)& element(C,the_carrier(B)) )=> ( in(A,a_2_0_yellow19(B,C))<=> (? [D] :( point_neighbourhood(D,B,C)& A = D ) )) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f74,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& rel_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B)& filtered_subset(B,A)& upper_relstr_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f75,axiom,(
% 13.95/2.15 (! [A] :( ( reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& rel_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B)& directed_subset(B,A)& filtered_subset(B,A)& lower_relstr_subset(B,A)& upper_relstr_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f76,axiom,(
% 13.95/2.15 (? [A] :( rel_str(A)& ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& connected_relstr(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f77,axiom,(
% 13.95/2.15 (? [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) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f79,axiom,(
% 13.95/2.15 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& complete_relstr(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f80,axiom,(
% 13.95/2.15 (? [A] :( empty(A)& relation(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f81,axiom,(
% 13.95/2.15 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f82,axiom,(
% 13.95/2.15 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& open_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f84,axiom,(
% 13.95/2.15 (? [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) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f85,axiom,(
% 13.95/2.15 (? [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) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f86,axiom,(
% 13.95/2.15 (? [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) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f88,axiom,(
% 13.95/2.15 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f89,axiom,(
% 13.95/2.15 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& open_subset(B,A)& closed_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f90,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& reflexive_relstr(A)& rel_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B)& finite(B)& directed_subset(B,A)& filtered_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f92,axiom,(
% 13.95/2.15 (? [A] :( rel_str(A)& ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& antisymmetric_relstr(A)& with_suprema_relstr(A)& with_infima_relstr(A)& complete_relstr(A)& lower_bounded_relstr(A)& upper_bounded_relstr(A)& bounded_relstr(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f95,axiom,(
% 13.95/2.15 (? [A] :( one_sorted_str(A)& ~ empty_carrier(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f96,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B)& open_subset(B,A)& closed_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f97,axiom,(
% 13.95/2.15 (! [A] :( one_sorted_str(A)=> (? [B] :( element(B,powerset(powerset(the_carrier(A))))& ~ empty(B)& finite(B) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f99,axiom,(
% 13.95/2.15 (! [A] :( top_str(A)=> (? [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) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f100,axiom,(
% 13.95/2.15 (? [A] :( rel_str(A)& ~ empty_carrier(A)& strict_rel_str(A)& transitive_relstr(A)& directed_relstr(A) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f101,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f102,axiom,(
% 13.95/2.15 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [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) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f103,axiom,(
% 13.95/2.15 (! [A] :( ( topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& closed_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f104,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B)& closed_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f106,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& rel_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B)& lower_relstr_subset(B,A)& upper_relstr_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f107,axiom,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& reflexive_relstr(A)& transitive_relstr(A)& rel_str(A) )=> (? [B] :( element(B,powerset(the_carrier(A)))& ~ empty(B)& directed_subset(B,A)& lower_relstr_subset(B,A) ) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f111,axiom,(
% 13.95/2.15 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f114,conjecture,(
% 13.95/2.15 (! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( in(C,neighborhood_system(A,B))<=> point_neighbourhood(C,A,B) ) )) )) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f115,negated_conjecture,(
% 13.95/2.15 ~((! [A] :( ( ~ empty_carrier(A)& topological_space(A)& top_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( in(C,neighborhood_system(A,B))<=> point_neighbourhood(C,A,B) ) )) )) ))),
% 13.95/2.15 inference(negated_conjecture,[status(cth)],[f114])).
% 13.95/2.15 fof(f116,axiom,(
% 13.95/2.15 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f117,axiom,(
% 13.95/2.15 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f118,axiom,(
% 13.95/2.15 (! [A] :( empty(A)=> A = empty_set ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f119,axiom,(
% 13.95/2.15 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f120,axiom,(
% 13.95/2.15 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 13.95/2.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.95/2.15 fof(f121,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|(~strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 13.95/2.15 fof(f122,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|~strict_rel_str(X0)|X0=rel_str_of(the_carrier(X0),the_InternalRel(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f121])).
% 13.95/2.15 fof(f123,plain,(
% 13.95/2.15 ![A,B]: (~in(A,B)|~in(B,A))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 13.95/2.15 fof(f124,plain,(
% 13.95/2.15 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f123])).
% 13.95/2.15 fof(f125,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|(((empty_carrier(A)|~reflexive_relstr(A))|~complete_relstr(A))|(((~empty_carrier(A)&reflexive_relstr(A))&up_complete_relstr(A))&join_complete_relstr(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 13.95/2.15 fof(f128,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~complete_relstr(X0)|up_complete_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f125])).
% 13.95/2.15 fof(f129,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~complete_relstr(X0)|join_complete_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f125])).
% 13.95/2.15 fof(f130,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|(((empty_carrier(A)|~reflexive_relstr(A))|~join_complete_relstr(A))|((~empty_carrier(A)&reflexive_relstr(A))&lower_bounded_relstr(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 13.95/2.15 fof(f133,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~join_complete_relstr(X0)|lower_bounded_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f130])).
% 13.95/2.15 fof(f134,plain,(
% 13.95/2.15 ![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))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 13.95/2.15 fof(f140,plain,(
% 13.95/2.15 ![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)|with_infima_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f134])).
% 13.95/2.15 fof(f141,plain,(
% 13.95/2.15 ![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))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f134])).
% 13.95/2.15 fof(f156,plain,(
% 13.95/2.15 ![A]: (~empty(A)|finite(A))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 13.95/2.15 fof(f157,plain,(
% 13.95/2.15 ![X0]: (~empty(X0)|finite(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f156])).
% 13.95/2.15 fof(f158,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|(~with_suprema_relstr(A)|~empty_carrier(A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 13.95/2.15 fof(f159,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|~with_suprema_relstr(X0)|~empty_carrier(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f158])).
% 13.95/2.15 fof(f165,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|(open_subset(B,A)&closed_subset(B,A))))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 13.95/2.15 fof(f166,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|open_subset(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f165])).
% 13.95/2.15 fof(f167,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|closed_subset(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f165])).
% 13.95/2.15 fof(f168,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|((~empty_carrier(A)&with_suprema_relstr(A))&with_infima_relstr(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 13.95/2.15 fof(f170,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_suprema_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f168])).
% 13.95/2.15 fof(f171,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|with_infima_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f168])).
% 13.95/2.15 fof(f172,plain,(
% 13.95/2.15 ![A]: (~finite(A)|(![B]: (~element(B,powerset(A))|finite(B))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 13.95/2.15 fof(f173,plain,(
% 13.95/2.15 ![X0,X1]: (~finite(X0)|~element(X1,powerset(X0))|finite(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f172])).
% 13.95/2.15 fof(f176,plain,(
% 13.95/2.15 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|boundary_set(B,A)))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 13.95/2.15 fof(f177,plain,(
% 13.95/2.15 ![X0,X1]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|boundary_set(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f176])).
% 13.95/2.15 fof(f184,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~empty(B)|nowhere_dense(B,A)))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 13.95/2.15 fof(f185,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~empty(X1)|nowhere_dense(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f184])).
% 13.95/2.15 fof(f186,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|((empty_carrier(A)|~complete_relstr(A))|(~empty_carrier(A)&bounded_relstr(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 13.95/2.15 fof(f188,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~complete_relstr(X0)|bounded_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f186])).
% 13.95/2.15 fof(f189,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|(~nowhere_dense(B,A)|boundary_set(B,A)))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 13.95/2.15 fof(f190,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~nowhere_dense(X1,X0)|boundary_set(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f189])).
% 13.95/2.15 fof(f191,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|(~bounded_relstr(A)|(lower_bounded_relstr(A)&upper_bounded_relstr(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 13.95/2.15 fof(f192,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|lower_bounded_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f191])).
% 13.95/2.15 fof(f193,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|~bounded_relstr(X0)|upper_bounded_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f191])).
% 13.95/2.15 fof(f194,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(![B]: (~element(B,powerset(the_carrier(A)))|((~closed_subset(B,A)|~boundary_set(B,A))|(boundary_set(B,A)&nowhere_dense(B,A))))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 13.95/2.15 fof(f196,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~closed_subset(X1,X0)|~boundary_set(X1,X0)|nowhere_dense(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f194])).
% 13.95/2.15 fof(f197,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|(((empty_carrier(A)|~reflexive_relstr(A))|~trivial_carrier(A))|((~empty_carrier(A)&reflexive_relstr(A))&connected_relstr(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 13.95/2.15 fof(f200,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|empty_carrier(X0)|~reflexive_relstr(X0)|~trivial_carrier(X0)|connected_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f197])).
% 13.95/2.15 fof(f201,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|((~lower_bounded_relstr(A)|~upper_bounded_relstr(A))|bounded_relstr(A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 13.95/2.15 fof(f202,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|~lower_bounded_relstr(X0)|~upper_bounded_relstr(X0)|bounded_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f201])).
% 13.95/2.15 fof(f203,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(![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))))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 13.95/2.15 fof(f204,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|empty(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f203])).
% 13.95/2.15 fof(f206,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|closed_subset(X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f203])).
% 13.95/2.15 fof(f207,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v1_membered(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f203])).
% 13.95/2.15 fof(f208,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v2_membered(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f203])).
% 13.95/2.15 fof(f209,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v3_membered(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f203])).
% 13.95/2.15 fof(f210,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v4_membered(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f203])).
% 13.95/2.15 fof(f211,plain,(
% 13.95/2.15 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~open_subset(X1,X0)|~nowhere_dense(X1,X0)|v5_membered(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f203])).
% 13.95/2.15 fof(f214,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|(((~reflexive_relstr(A)|~with_suprema_relstr(A))|~up_complete_relstr(A))|(((~empty_carrier(A)&reflexive_relstr(A))&with_suprema_relstr(A))&upper_bounded_relstr(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 13.95/2.15 fof(f218,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|~reflexive_relstr(X0)|~with_suprema_relstr(X0)|~up_complete_relstr(X0)|upper_bounded_relstr(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f214])).
% 13.95/2.15 fof(f219,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(![B]: (~element(B,the_carrier(A))|neighborhood_system(A,B)=a_2_0_yellow19(A,B))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 13.95/2.15 fof(f220,plain,(
% 13.95/2.15 ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|neighborhood_system(X0,X1)=a_2_0_yellow19(X0,X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f219])).
% 13.95/2.15 fof(f224,plain,(
% 13.95/2.15 ![A,B]: ((((empty_carrier(A)|~topological_space(A))|~top_str(A))|~element(B,the_carrier(A)))|element(neighborhood_system(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 13.95/2.15 fof(f225,plain,(
% 13.95/2.15 ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f224])).
% 13.95/2.15 fof(f226,plain,(
% 13.95/2.15 ![A]: (~one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 13.95/2.15 fof(f227,plain,(
% 13.95/2.15 ![X0]: (~one_sorted_str(X0)|element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f226])).
% 13.95/2.15 fof(f231,plain,(
% 13.95/2.15 ![A]: (~rel_str(A)|one_sorted_str(A))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 13.95/2.15 fof(f232,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|one_sorted_str(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f231])).
% 13.95/2.15 fof(f233,plain,(
% 13.95/2.15 ![A]: (~top_str(A)|one_sorted_str(A))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 13.95/2.15 fof(f234,plain,(
% 13.95/2.15 ![X0]: (~top_str(X0)|one_sorted_str(X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f233])).
% 13.95/2.15 fof(f235,plain,(
% 13.95/2.15 ![A,B]: ((((empty_carrier(A)|~topological_space(A))|~top_str(A))|~element(B,the_carrier(A)))|(![C]: (~point_neighbourhood(C,A,B)|element(C,powerset(the_carrier(A))))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 13.95/2.15 fof(f236,plain,(
% 13.95/2.15 ![X0,X1,X2]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|~point_neighbourhood(X2,X0,X1)|element(X2,powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f235])).
% 13.95/2.15 fof(f243,plain,(
% 13.95/2.15 top_str(sk0_1)),
% 13.95/2.15 inference(skolemization,[status(esa)],[f45])).
% 13.95/2.15 fof(f244,plain,(
% 13.95/2.15 top_str(sk0_1)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f243])).
% 13.95/2.15 fof(f247,plain,(
% 13.95/2.15 ![A,B]: ((((empty_carrier(A)|~topological_space(A))|~top_str(A))|~element(B,the_carrier(A)))|(?[C]: point_neighbourhood(C,A,B)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 13.95/2.15 fof(f248,plain,(
% 13.95/2.15 ![A,B]: ((((empty_carrier(A)|~topological_space(A))|~top_str(A))|~element(B,the_carrier(A)))|point_neighbourhood(sk0_3(B,A),A,B))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f247])).
% 13.95/2.15 fof(f249,plain,(
% 13.95/2.15 ![X0,X1]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|point_neighbourhood(sk0_3(X1,X0),X0,X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f248])).
% 13.95/2.15 fof(f252,plain,(
% 13.95/2.15 ![A]: element(sk0_5(A),A)),
% 13.95/2.15 inference(skolemization,[status(esa)],[f49])).
% 13.95/2.15 fof(f253,plain,(
% 13.95/2.15 ![X0]: (element(sk0_5(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f252])).
% 13.95/2.15 fof(f256,plain,(
% 13.95/2.15 empty(empty_set)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f51])).
% 13.95/2.15 fof(f261,plain,(
% 13.95/2.15 ![A]: ((empty_carrier(A)|~rel_str(A))|((~empty(cast_as_carrier_subset(A))&lower_relstr_subset(cast_as_carrier_subset(A),A))&upper_relstr_subset(cast_as_carrier_subset(A),A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 13.95/2.15 fof(f263,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~rel_str(X0)|lower_relstr_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f261])).
% 13.95/2.15 fof(f264,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~rel_str(X0)|upper_relstr_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f261])).
% 13.95/2.15 fof(f267,plain,(
% 13.95/2.15 ![X0]: (~empty(powerset(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f55])).
% 13.95/2.15 fof(f268,plain,(
% 13.95/2.15 (((((((((((((((((![A]: ~empty_carrier(boole_POSet(A)))&(![A]: strict_rel_str(boole_POSet(A))))&(![A]: reflexive_relstr(boole_POSet(A))))&(![A]: transitive_relstr(boole_POSet(A))))&(![A]: antisymmetric_relstr(boole_POSet(A))))&(![A]: lower_bounded_relstr(boole_POSet(A))))&(![A]: upper_bounded_relstr(boole_POSet(A))))&(![A]: bounded_relstr(boole_POSet(A))))&(![A]: up_complete_relstr(boole_POSet(A))))&(![A]: join_complete_relstr(boole_POSet(A))))&(![A]: ~v1_yellow_3(boole_POSet(A))))&(![A]: distributive_relstr(boole_POSet(A))))&(![A]: heyting_relstr(boole_POSet(A))))&(![A]: complemented_relstr(boole_POSet(A))))&(![A]: boolean_relstr(boole_POSet(A))))&(![A]: with_suprema_relstr(boole_POSet(A))))&(![A]: with_infima_relstr(boole_POSet(A))))&(![A]: complete_relstr(boole_POSet(A)))),
% 13.95/2.15 inference(miniscoping,[status(esa)],[f56])).
% 13.95/2.15 fof(f269,plain,(
% 13.95/2.15 ![X0]: (~empty_carrier(boole_POSet(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f268])).
% 13.95/2.15 fof(f289,plain,(
% 13.95/2.15 ![A]: ((~with_suprema_relstr(A)|~rel_str(A))|(~empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 13.95/2.15 fof(f291,plain,(
% 13.95/2.15 ![X0]: (~with_suprema_relstr(X0)|~rel_str(X0)|directed_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f289])).
% 13.95/2.15 fof(f314,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~upper_bounded_relstr(A))|~rel_str(A))|(~empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f61])).
% 13.95/2.15 fof(f316,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~upper_bounded_relstr(X0)|~rel_str(X0)|directed_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f314])).
% 13.95/2.15 fof(f321,plain,(
% 13.95/2.15 ![A]: ((~with_infima_relstr(A)|~rel_str(A))|(~empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 13.95/2.15 fof(f323,plain,(
% 13.95/2.15 ![X0]: (~with_infima_relstr(X0)|~rel_str(X0)|filtered_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f321])).
% 13.95/2.15 fof(f324,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|closed_subset(cast_as_carrier_subset(A),A))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 13.95/2.15 fof(f325,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f324])).
% 13.95/2.15 fof(f326,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~lower_bounded_relstr(A))|~rel_str(A))|(~empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f66])).
% 13.95/2.15 fof(f328,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~lower_bounded_relstr(X0)|~rel_str(X0)|filtered_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f326])).
% 13.95/2.15 fof(f335,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(open_subset(cast_as_carrier_subset(A),A)&closed_subset(cast_as_carrier_subset(A),A)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 13.95/2.15 fof(f336,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|open_subset(cast_as_carrier_subset(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f335])).
% 13.95/2.15 fof(f368,plain,(
% 13.95/2.15 ![A,B,C]: ((((empty_carrier(B)|~topological_space(B))|~top_str(B))|~element(C,the_carrier(B)))|(in(A,a_2_0_yellow19(B,C))<=>(?[D]: (point_neighbourhood(D,B,C)&A=D))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f72])).
% 13.95/2.15 fof(f369,plain,(
% 13.95/2.15 ![A,B,C]: ((((empty_carrier(B)|~topological_space(B))|~top_str(B))|~element(C,the_carrier(B)))|((~in(A,a_2_0_yellow19(B,C))|(?[D]: (point_neighbourhood(D,B,C)&A=D)))&(in(A,a_2_0_yellow19(B,C))|(![D]: (~point_neighbourhood(D,B,C)|~A=D)))))),
% 13.95/2.15 inference(NNF_transformation,[status(esa)],[f368])).
% 13.95/2.15 fof(f370,plain,(
% 13.95/2.15 ![B,C]: ((((empty_carrier(B)|~topological_space(B))|~top_str(B))|~element(C,the_carrier(B)))|((![A]: (~in(A,a_2_0_yellow19(B,C))|(?[D]: (point_neighbourhood(D,B,C)&A=D))))&(![A]: (in(A,a_2_0_yellow19(B,C))|(![D]: (~point_neighbourhood(D,B,C)|~A=D))))))),
% 13.95/2.15 inference(miniscoping,[status(esa)],[f369])).
% 13.95/2.15 fof(f371,plain,(
% 13.95/2.15 ![B,C]: ((((empty_carrier(B)|~topological_space(B))|~top_str(B))|~element(C,the_carrier(B)))|((![A]: (~in(A,a_2_0_yellow19(B,C))|(point_neighbourhood(sk0_7(A,C,B),B,C)&A=sk0_7(A,C,B))))&(![A]: (in(A,a_2_0_yellow19(B,C))|(![D]: (~point_neighbourhood(D,B,C)|~A=D))))))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f370])).
% 13.95/2.15 fof(f372,plain,(
% 13.95/2.15 ![X0,X1,X2]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|~in(X2,a_2_0_yellow19(X0,X1))|point_neighbourhood(sk0_7(X2,X1,X0),X0,X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f371])).
% 13.95/2.15 fof(f373,plain,(
% 13.95/2.15 ![X0,X1,X2]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|~in(X2,a_2_0_yellow19(X0,X1))|X2=sk0_7(X2,X1,X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f371])).
% 13.95/2.15 fof(f374,plain,(
% 13.95/2.15 ![X0,X1,X2,X3]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|~element(X1,the_carrier(X0))|in(X2,a_2_0_yellow19(X0,X1))|~point_neighbourhood(X3,X0,X1)|~X2=X3)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f371])).
% 13.95/2.15 fof(f378,plain,(
% 13.95/2.15 ![A]: ((((empty_carrier(A)|~reflexive_relstr(A))|~transitive_relstr(A))|~rel_str(A))|(?[B]: (((element(B,powerset(the_carrier(A)))&~empty(B))&filtered_subset(B,A))&upper_relstr_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 13.95/2.15 fof(f379,plain,(
% 13.95/2.15 ![A]: ((((empty_carrier(A)|~reflexive_relstr(A))|~transitive_relstr(A))|~rel_str(A))|(((element(sk0_8(A),powerset(the_carrier(A)))&~empty(sk0_8(A)))&filtered_subset(sk0_8(A),A))&upper_relstr_subset(sk0_8(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f378])).
% 13.95/2.15 fof(f380,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~rel_str(X0)|element(sk0_8(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f379])).
% 13.95/2.15 fof(f382,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~rel_str(X0)|filtered_subset(sk0_8(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f379])).
% 13.95/2.15 fof(f383,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~rel_str(X0)|upper_relstr_subset(sk0_8(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f379])).
% 13.95/2.15 fof(f384,plain,(
% 13.95/2.15 ![A]: ((((((~reflexive_relstr(A)|~transitive_relstr(A))|~antisymmetric_relstr(A))|~with_suprema_relstr(A))|~with_infima_relstr(A))|~rel_str(A))|(?[B]: (((((element(B,powerset(the_carrier(A)))&~empty(B))&directed_subset(B,A))&filtered_subset(B,A))&lower_relstr_subset(B,A))&upper_relstr_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 13.95/2.15 fof(f385,plain,(
% 13.95/2.15 ![A]: ((((((~reflexive_relstr(A)|~transitive_relstr(A))|~antisymmetric_relstr(A))|~with_suprema_relstr(A))|~with_infima_relstr(A))|~rel_str(A))|(((((element(sk0_9(A),powerset(the_carrier(A)))&~empty(sk0_9(A)))&directed_subset(sk0_9(A),A))&filtered_subset(sk0_9(A),A))&lower_relstr_subset(sk0_9(A),A))&upper_relstr_subset(sk0_9(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f384])).
% 13.95/2.15 fof(f386,plain,(
% 13.95/2.15 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~with_suprema_relstr(X0)|~with_infima_relstr(X0)|~rel_str(X0)|element(sk0_9(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f385])).
% 13.95/2.15 fof(f388,plain,(
% 13.95/2.15 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~with_suprema_relstr(X0)|~with_infima_relstr(X0)|~rel_str(X0)|directed_subset(sk0_9(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f385])).
% 13.95/2.15 fof(f389,plain,(
% 13.95/2.15 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~with_suprema_relstr(X0)|~with_infima_relstr(X0)|~rel_str(X0)|filtered_subset(sk0_9(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f385])).
% 13.95/2.15 fof(f390,plain,(
% 13.95/2.15 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~with_suprema_relstr(X0)|~with_infima_relstr(X0)|~rel_str(X0)|lower_relstr_subset(sk0_9(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f385])).
% 13.95/2.15 fof(f391,plain,(
% 13.95/2.15 ![X0]: (~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~with_suprema_relstr(X0)|~with_infima_relstr(X0)|~rel_str(X0)|upper_relstr_subset(sk0_9(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f385])).
% 13.95/2.15 fof(f392,plain,(
% 13.95/2.15 (((((rel_str(sk0_10)&~empty_carrier(sk0_10))&reflexive_relstr(sk0_10))&transitive_relstr(sk0_10))&antisymmetric_relstr(sk0_10))&connected_relstr(sk0_10))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f76])).
% 13.95/2.15 fof(f393,plain,(
% 13.95/2.15 rel_str(sk0_10)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f392])).
% 13.95/2.15 fof(f394,plain,(
% 13.95/2.15 ~empty_carrier(sk0_10)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f392])).
% 13.95/2.15 fof(f395,plain,(
% 13.95/2.15 reflexive_relstr(sk0_10)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f392])).
% 13.95/2.15 fof(f396,plain,(
% 13.95/2.15 transitive_relstr(sk0_10)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f392])).
% 13.95/2.15 fof(f399,plain,(
% 13.95/2.15 (((((((((((((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))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f77])).
% 13.95/2.15 fof(f400,plain,(
% 13.95/2.15 rel_str(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f401,plain,(
% 13.95/2.15 ~empty_carrier(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f402,plain,(
% 13.95/2.15 strict_rel_str(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f403,plain,(
% 13.95/2.15 reflexive_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f404,plain,(
% 13.95/2.15 transitive_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f405,plain,(
% 13.95/2.15 antisymmetric_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f406,plain,(
% 13.95/2.15 with_suprema_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f407,plain,(
% 13.95/2.15 with_infima_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f408,plain,(
% 13.95/2.15 complete_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f409,plain,(
% 13.95/2.15 lower_bounded_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f411,plain,(
% 13.95/2.15 bounded_relstr(sk0_11)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f399])).
% 13.95/2.15 fof(f417,plain,(
% 13.95/2.15 ((((((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))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f79])).
% 13.95/2.15 fof(f418,plain,(
% 13.95/2.15 rel_str(sk0_13)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f417])).
% 13.95/2.15 fof(f419,plain,(
% 13.95/2.15 ~empty_carrier(sk0_13)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f417])).
% 13.95/2.15 fof(f420,plain,(
% 13.95/2.15 strict_rel_str(sk0_13)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f417])).
% 13.95/2.15 fof(f421,plain,(
% 13.95/2.15 reflexive_relstr(sk0_13)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f417])).
% 13.95/2.15 fof(f422,plain,(
% 13.95/2.15 transitive_relstr(sk0_13)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f417])).
% 13.95/2.15 fof(f423,plain,(
% 13.95/2.15 antisymmetric_relstr(sk0_13)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f417])).
% 13.95/2.15 fof(f424,plain,(
% 13.95/2.15 complete_relstr(sk0_13)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f417])).
% 13.95/2.15 fof(f425,plain,(
% 13.95/2.15 (empty(sk0_14)&relation(sk0_14))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f80])).
% 13.95/2.15 fof(f426,plain,(
% 13.95/2.15 empty(sk0_14)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f425])).
% 13.95/2.15 fof(f428,plain,(
% 13.95/2.15 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f81])).
% 13.95/2.15 fof(f429,plain,(
% 13.95/2.15 ![A]: (empty(A)|(element(sk0_15(A),powerset(A))&~empty(sk0_15(A))))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f428])).
% 13.95/2.15 fof(f430,plain,(
% 13.95/2.15 ![X0]: (empty(X0)|element(sk0_15(X0),powerset(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f429])).
% 13.95/2.15 fof(f432,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&open_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f82])).
% 13.95/2.15 fof(f433,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(element(sk0_16(A),powerset(the_carrier(A)))&open_subset(sk0_16(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f432])).
% 13.95/2.15 fof(f434,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|element(sk0_16(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f433])).
% 13.95/2.15 fof(f435,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|open_subset(sk0_16(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f433])).
% 13.95/2.15 fof(f441,plain,(
% 13.95/2.15 ((((((((((((((((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))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f84])).
% 13.95/2.15 fof(f442,plain,(
% 13.95/2.15 rel_str(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f445,plain,(
% 13.95/2.15 strict_rel_str(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f446,plain,(
% 13.95/2.15 reflexive_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f447,plain,(
% 13.95/2.15 transitive_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f448,plain,(
% 13.95/2.15 antisymmetric_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f449,plain,(
% 13.95/2.15 lower_bounded_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f450,plain,(
% 13.95/2.15 upper_bounded_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f451,plain,(
% 13.95/2.15 bounded_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f457,plain,(
% 13.95/2.15 with_suprema_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f458,plain,(
% 13.95/2.15 with_infima_relstr(sk0_18)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f441])).
% 13.95/2.15 fof(f459,plain,(
% 13.95/2.15 (((((((((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))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f85])).
% 13.95/2.15 fof(f460,plain,(
% 13.95/2.15 rel_str(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f462,plain,(
% 13.95/2.15 strict_rel_str(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f463,plain,(
% 13.95/2.15 reflexive_relstr(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f464,plain,(
% 13.95/2.15 transitive_relstr(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f465,plain,(
% 13.95/2.15 antisymmetric_relstr(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f466,plain,(
% 13.95/2.15 with_suprema_relstr(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f467,plain,(
% 13.95/2.15 with_infima_relstr(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f468,plain,(
% 13.95/2.15 complete_relstr(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f469,plain,(
% 13.95/2.15 trivial_carrier(sk0_19)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f459])).
% 13.95/2.15 fof(f470,plain,(
% 13.95/2.15 ((((((((rel_str(sk0_20)&~empty_carrier(sk0_20))&strict_rel_str(sk0_20))&reflexive_relstr(sk0_20))&transitive_relstr(sk0_20))&antisymmetric_relstr(sk0_20))&with_suprema_relstr(sk0_20))&with_infima_relstr(sk0_20))&complete_relstr(sk0_20))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f86])).
% 13.95/2.15 fof(f471,plain,(
% 13.95/2.15 rel_str(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f473,plain,(
% 13.95/2.15 strict_rel_str(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f474,plain,(
% 13.95/2.15 reflexive_relstr(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f475,plain,(
% 13.95/2.15 transitive_relstr(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f476,plain,(
% 13.95/2.15 antisymmetric_relstr(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f477,plain,(
% 13.95/2.15 with_suprema_relstr(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f478,plain,(
% 13.95/2.15 with_infima_relstr(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f479,plain,(
% 13.95/2.15 complete_relstr(sk0_20)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f470])).
% 13.95/2.15 fof(f483,plain,(
% 13.95/2.15 ![A]: (element(sk0_22(A),powerset(A))&empty(sk0_22(A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f88])).
% 13.95/2.15 fof(f484,plain,(
% 13.95/2.15 ![X0]: (element(sk0_22(X0),powerset(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f483])).
% 13.95/2.15 fof(f485,plain,(
% 13.95/2.15 ![X0]: (empty(sk0_22(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f483])).
% 13.95/2.15 fof(f486,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(?[B]: ((element(B,powerset(the_carrier(A)))&open_subset(B,A))&closed_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f89])).
% 13.95/2.15 fof(f487,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|((element(sk0_23(A),powerset(the_carrier(A)))&open_subset(sk0_23(A),A))&closed_subset(sk0_23(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f486])).
% 13.95/2.15 fof(f488,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|element(sk0_23(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f487])).
% 13.95/2.15 fof(f489,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|open_subset(sk0_23(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f487])).
% 13.95/2.15 fof(f490,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_23(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f487])).
% 13.95/2.15 fof(f491,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~reflexive_relstr(A))|~rel_str(A))|(?[B]: ((((element(B,powerset(the_carrier(A)))&~empty(B))&finite(B))&directed_subset(B,A))&filtered_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 13.95/2.15 fof(f492,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~reflexive_relstr(A))|~rel_str(A))|((((element(sk0_24(A),powerset(the_carrier(A)))&~empty(sk0_24(A)))&finite(sk0_24(A)))&directed_subset(sk0_24(A),A))&filtered_subset(sk0_24(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f491])).
% 13.95/2.15 fof(f493,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|element(sk0_24(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f492])).
% 13.95/2.15 fof(f495,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|finite(sk0_24(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f492])).
% 13.95/2.15 fof(f496,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|directed_subset(sk0_24(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f492])).
% 13.95/2.15 fof(f497,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~rel_str(X0)|filtered_subset(sk0_24(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f492])).
% 13.95/2.15 fof(f502,plain,(
% 13.95/2.15 ((((((((((rel_str(sk0_26)&~empty_carrier(sk0_26))&reflexive_relstr(sk0_26))&transitive_relstr(sk0_26))&antisymmetric_relstr(sk0_26))&with_suprema_relstr(sk0_26))&with_infima_relstr(sk0_26))&complete_relstr(sk0_26))&lower_bounded_relstr(sk0_26))&upper_bounded_relstr(sk0_26))&bounded_relstr(sk0_26))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f92])).
% 13.95/2.15 fof(f503,plain,(
% 13.95/2.15 rel_str(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f505,plain,(
% 13.95/2.15 reflexive_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f506,plain,(
% 13.95/2.15 transitive_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f507,plain,(
% 13.95/2.15 antisymmetric_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f508,plain,(
% 13.95/2.15 with_suprema_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f509,plain,(
% 13.95/2.15 with_infima_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f510,plain,(
% 13.95/2.15 complete_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f511,plain,(
% 13.95/2.15 lower_bounded_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f512,plain,(
% 13.95/2.15 upper_bounded_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f513,plain,(
% 13.95/2.15 bounded_relstr(sk0_26)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f502])).
% 13.95/2.15 fof(f522,plain,(
% 13.95/2.15 (one_sorted_str(sk0_29)&~empty_carrier(sk0_29))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f95])).
% 13.95/2.15 fof(f523,plain,(
% 13.95/2.15 one_sorted_str(sk0_29)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f522])).
% 13.95/2.15 fof(f524,plain,(
% 13.95/2.15 ~empty_carrier(sk0_29)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f522])).
% 13.95/2.15 fof(f525,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(?[B]: (((element(B,powerset(the_carrier(A)))&~empty(B))&open_subset(B,A))&closed_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 13.95/2.15 fof(f526,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(((element(sk0_30(A),powerset(the_carrier(A)))&~empty(sk0_30(A)))&open_subset(sk0_30(A),A))&closed_subset(sk0_30(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f525])).
% 13.95/2.15 fof(f527,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|element(sk0_30(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f526])).
% 13.95/2.15 fof(f529,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|open_subset(sk0_30(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f526])).
% 13.95/2.15 fof(f530,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|closed_subset(sk0_30(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f526])).
% 13.95/2.15 fof(f531,plain,(
% 13.95/2.15 ![A]: (~one_sorted_str(A)|(?[B]: ((element(B,powerset(powerset(the_carrier(A))))&~empty(B))&finite(B))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 13.95/2.15 fof(f532,plain,(
% 13.95/2.15 ![A]: (~one_sorted_str(A)|((element(sk0_31(A),powerset(powerset(the_carrier(A))))&~empty(sk0_31(A)))&finite(sk0_31(A))))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f531])).
% 13.95/2.15 fof(f533,plain,(
% 13.95/2.15 ![X0]: (~one_sorted_str(X0)|element(sk0_31(X0),powerset(powerset(the_carrier(X0)))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f532])).
% 13.95/2.15 fof(f541,plain,(
% 13.95/2.15 ![A]: (~top_str(A)|(?[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))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f99])).
% 13.95/2.15 fof(f542,plain,(
% 13.95/2.15 ![A]: (~top_str(A)|(((((((element(sk0_33(A),powerset(the_carrier(A)))&empty(sk0_33(A)))&v1_membered(sk0_33(A)))&v2_membered(sk0_33(A)))&v3_membered(sk0_33(A)))&v4_membered(sk0_33(A)))&v5_membered(sk0_33(A)))&boundary_set(sk0_33(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f541])).
% 13.95/2.15 fof(f543,plain,(
% 13.95/2.15 ![X0]: (~top_str(X0)|element(sk0_33(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f542])).
% 13.95/2.15 fof(f544,plain,(
% 13.95/2.15 ![X0]: (~top_str(X0)|empty(sk0_33(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f542])).
% 13.95/2.15 fof(f551,plain,(
% 13.95/2.15 ((((rel_str(sk0_34)&~empty_carrier(sk0_34))&strict_rel_str(sk0_34))&transitive_relstr(sk0_34))&directed_relstr(sk0_34))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f100])).
% 13.95/2.15 fof(f552,plain,(
% 13.95/2.15 rel_str(sk0_34)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f551])).
% 13.95/2.15 fof(f553,plain,(
% 13.95/2.15 ~empty_carrier(sk0_34)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f551])).
% 13.95/2.15 fof(f554,plain,(
% 13.95/2.15 strict_rel_str(sk0_34)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f551])).
% 13.95/2.15 fof(f557,plain,(
% 13.95/2.15 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&~empty(B))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f101])).
% 13.95/2.15 fof(f558,plain,(
% 13.95/2.15 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|(element(sk0_35(A),powerset(the_carrier(A)))&~empty(sk0_35(A))))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f557])).
% 13.95/2.15 fof(f559,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|element(sk0_35(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f558])).
% 13.95/2.15 fof(f561,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(?[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))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f102])).
% 13.95/2.15 fof(f562,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|((((((((((element(sk0_36(A),powerset(the_carrier(A)))&empty(sk0_36(A)))&open_subset(sk0_36(A),A))&closed_subset(sk0_36(A),A))&v1_membered(sk0_36(A)))&v2_membered(sk0_36(A)))&v3_membered(sk0_36(A)))&v4_membered(sk0_36(A)))&v5_membered(sk0_36(A)))&boundary_set(sk0_36(A),A))&nowhere_dense(sk0_36(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f561])).
% 13.95/2.15 fof(f563,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|element(sk0_36(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f564,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|empty(sk0_36(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f565,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|open_subset(sk0_36(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f566,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_36(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f567,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|v1_membered(sk0_36(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f568,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|v2_membered(sk0_36(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f569,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|v3_membered(sk0_36(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f570,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|v4_membered(sk0_36(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f571,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|v5_membered(sk0_36(X0)))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f572,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|boundary_set(sk0_36(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f573,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_36(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f562])).
% 13.95/2.15 fof(f574,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(?[B]: (element(B,powerset(the_carrier(A)))&closed_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f103])).
% 13.95/2.15 fof(f575,plain,(
% 13.95/2.15 ![A]: ((~topological_space(A)|~top_str(A))|(element(sk0_37(A),powerset(the_carrier(A)))&closed_subset(sk0_37(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f574])).
% 13.95/2.15 fof(f576,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|element(sk0_37(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f575])).
% 13.95/2.15 fof(f577,plain,(
% 13.95/2.15 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_37(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f575])).
% 13.95/2.15 fof(f578,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|(?[B]: ((element(B,powerset(the_carrier(A)))&~empty(B))&closed_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f104])).
% 13.95/2.15 fof(f579,plain,(
% 13.95/2.15 ![A]: (((empty_carrier(A)|~topological_space(A))|~top_str(A))|((element(sk0_38(A),powerset(the_carrier(A)))&~empty(sk0_38(A)))&closed_subset(sk0_38(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f578])).
% 13.95/2.15 fof(f580,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|element(sk0_38(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f579])).
% 13.95/2.15 fof(f582,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|closed_subset(sk0_38(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f579])).
% 13.95/2.15 fof(f588,plain,(
% 13.95/2.15 ![A]: ((empty_carrier(A)|~rel_str(A))|(?[B]: (((element(B,powerset(the_carrier(A)))&~empty(B))&lower_relstr_subset(B,A))&upper_relstr_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 13.95/2.15 fof(f589,plain,(
% 13.95/2.15 ![A]: ((empty_carrier(A)|~rel_str(A))|(((element(sk0_40(A),powerset(the_carrier(A)))&~empty(sk0_40(A)))&lower_relstr_subset(sk0_40(A),A))&upper_relstr_subset(sk0_40(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f588])).
% 13.95/2.15 fof(f590,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~rel_str(X0)|element(sk0_40(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f589])).
% 13.95/2.15 fof(f592,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~rel_str(X0)|lower_relstr_subset(sk0_40(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f589])).
% 13.95/2.15 fof(f593,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~rel_str(X0)|upper_relstr_subset(sk0_40(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f589])).
% 13.95/2.15 fof(f594,plain,(
% 13.95/2.15 ![A]: ((((empty_carrier(A)|~reflexive_relstr(A))|~transitive_relstr(A))|~rel_str(A))|(?[B]: (((element(B,powerset(the_carrier(A)))&~empty(B))&directed_subset(B,A))&lower_relstr_subset(B,A))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f107])).
% 13.95/2.15 fof(f595,plain,(
% 13.95/2.15 ![A]: ((((empty_carrier(A)|~reflexive_relstr(A))|~transitive_relstr(A))|~rel_str(A))|(((element(sk0_41(A),powerset(the_carrier(A)))&~empty(sk0_41(A)))&directed_subset(sk0_41(A),A))&lower_relstr_subset(sk0_41(A),A)))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f594])).
% 13.95/2.15 fof(f596,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~rel_str(X0)|element(sk0_41(X0),powerset(the_carrier(X0))))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f595])).
% 13.95/2.15 fof(f598,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~rel_str(X0)|directed_subset(sk0_41(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f595])).
% 13.95/2.15 fof(f599,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~rel_str(X0)|lower_relstr_subset(sk0_41(X0),X0))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f595])).
% 13.95/2.15 fof(f608,plain,(
% 13.95/2.15 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f111])).
% 13.95/2.15 fof(f609,plain,(
% 13.95/2.15 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f608])).
% 13.95/2.15 fof(f619,plain,(
% 13.95/2.15 (?[A]: (((~empty_carrier(A)&topological_space(A))&top_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (in(C,neighborhood_system(A,B))<~>point_neighbourhood(C,A,B)))))))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f115])).
% 13.95/2.15 fof(f620,plain,(
% 13.95/2.15 ?[A]: (((~empty_carrier(A)&topological_space(A))&top_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: ((in(C,neighborhood_system(A,B))|point_neighbourhood(C,A,B))&(~in(C,neighborhood_system(A,B))|~point_neighbourhood(C,A,B)))))))),
% 13.95/2.15 inference(NNF_transformation,[status(esa)],[f619])).
% 13.95/2.15 fof(f621,plain,(
% 13.95/2.15 (((~empty_carrier(sk0_43)&topological_space(sk0_43))&top_str(sk0_43))&(element(sk0_44,the_carrier(sk0_43))&((in(sk0_45,neighborhood_system(sk0_43,sk0_44))|point_neighbourhood(sk0_45,sk0_43,sk0_44))&(~in(sk0_45,neighborhood_system(sk0_43,sk0_44))|~point_neighbourhood(sk0_45,sk0_43,sk0_44)))))),
% 13.95/2.15 inference(skolemization,[status(esa)],[f620])).
% 13.95/2.15 fof(f622,plain,(
% 13.95/2.15 ~empty_carrier(sk0_43)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f621])).
% 13.95/2.15 fof(f623,plain,(
% 13.95/2.15 topological_space(sk0_43)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f621])).
% 13.95/2.15 fof(f624,plain,(
% 13.95/2.15 top_str(sk0_43)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f621])).
% 13.95/2.15 fof(f625,plain,(
% 13.95/2.15 element(sk0_44,the_carrier(sk0_43))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f621])).
% 13.95/2.15 fof(f626,plain,(
% 13.95/2.15 in(sk0_45,neighborhood_system(sk0_43,sk0_44))|point_neighbourhood(sk0_45,sk0_43,sk0_44)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f621])).
% 13.95/2.15 fof(f627,plain,(
% 13.95/2.15 ~in(sk0_45,neighborhood_system(sk0_43,sk0_44))|~point_neighbourhood(sk0_45,sk0_43,sk0_44)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f621])).
% 13.95/2.15 fof(f628,plain,(
% 13.95/2.15 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f116])).
% 13.95/2.15 fof(f629,plain,(
% 13.95/2.15 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 13.95/2.15 inference(miniscoping,[status(esa)],[f628])).
% 13.95/2.15 fof(f630,plain,(
% 13.95/2.15 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f629])).
% 13.95/2.15 fof(f631,plain,(
% 13.95/2.15 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f117])).
% 13.95/2.15 fof(f632,plain,(
% 13.95/2.15 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 13.95/2.15 inference(miniscoping,[status(esa)],[f631])).
% 13.95/2.15 fof(f633,plain,(
% 13.95/2.15 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f632])).
% 13.95/2.15 fof(f634,plain,(
% 13.95/2.15 ![A]: (~empty(A)|A=empty_set)),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f118])).
% 13.95/2.15 fof(f635,plain,(
% 13.95/2.15 ![X0]: (~empty(X0)|X0=empty_set)),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f634])).
% 13.95/2.15 fof(f636,plain,(
% 13.95/2.15 ![A,B]: (~in(A,B)|~empty(B))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f119])).
% 13.95/2.15 fof(f637,plain,(
% 13.95/2.15 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 13.95/2.15 inference(miniscoping,[status(esa)],[f636])).
% 13.95/2.15 fof(f638,plain,(
% 13.95/2.15 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f637])).
% 13.95/2.15 fof(f639,plain,(
% 13.95/2.15 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 13.95/2.15 inference(pre_NNF_transformation,[status(esa)],[f120])).
% 13.95/2.15 fof(f640,plain,(
% 13.95/2.15 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 13.95/2.15 inference(miniscoping,[status(esa)],[f639])).
% 13.95/2.15 fof(f641,plain,(
% 13.95/2.15 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 13.95/2.15 inference(cnf_transformation,[status(esa)],[f640])).
% 13.95/2.15 fof(f642,plain,(
% 13.95/2.15 spl0_0 <=> in(sk0_45,neighborhood_system(sk0_43,sk0_44))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f643,plain,(
% 13.95/2.15 in(sk0_45,neighborhood_system(sk0_43,sk0_44))|~spl0_0),
% 13.95/2.15 inference(component_clause,[status(thm)],[f642])).
% 13.95/2.15 fof(f645,plain,(
% 13.95/2.15 spl0_1 <=> point_neighbourhood(sk0_45,sk0_43,sk0_44)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f646,plain,(
% 13.95/2.15 point_neighbourhood(sk0_45,sk0_43,sk0_44)|~spl0_1),
% 13.95/2.15 inference(component_clause,[status(thm)],[f645])).
% 13.95/2.15 fof(f648,plain,(
% 13.95/2.15 spl0_0|spl0_1),
% 13.95/2.15 inference(split_clause,[status(thm)],[f626,f642,f645])).
% 13.95/2.15 fof(f649,plain,(
% 13.95/2.15 ~spl0_0|~spl0_1),
% 13.95/2.15 inference(split_clause,[status(thm)],[f627,f642,f645])).
% 13.95/2.15 fof(f650,plain,(
% 13.95/2.15 spl0_2 <=> empty(the_carrier(sk0_43))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f651,plain,(
% 13.95/2.15 empty(the_carrier(sk0_43))|~spl0_2),
% 13.95/2.15 inference(component_clause,[status(thm)],[f650])).
% 13.95/2.15 fof(f653,plain,(
% 13.95/2.15 spl0_3 <=> in(sk0_44,the_carrier(sk0_43))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f656,plain,(
% 13.95/2.15 empty(the_carrier(sk0_43))|in(sk0_44,the_carrier(sk0_43))),
% 13.95/2.15 inference(resolution,[status(thm)],[f609,f625])).
% 13.95/2.15 fof(f657,plain,(
% 13.95/2.15 spl0_2|spl0_3),
% 13.95/2.15 inference(split_clause,[status(thm)],[f656,f650,f653])).
% 13.95/2.15 fof(f666,plain,(
% 13.95/2.15 spl0_5 <=> empty_carrier(sk0_43)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f667,plain,(
% 13.95/2.15 empty_carrier(sk0_43)|~spl0_5),
% 13.95/2.15 inference(component_clause,[status(thm)],[f666])).
% 13.95/2.15 fof(f669,plain,(
% 13.95/2.15 spl0_6 <=> topological_space(sk0_43)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f671,plain,(
% 13.95/2.15 ~topological_space(sk0_43)|spl0_6),
% 13.95/2.15 inference(component_clause,[status(thm)],[f669])).
% 13.95/2.15 fof(f672,plain,(
% 13.95/2.15 spl0_7 <=> top_str(sk0_43)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f674,plain,(
% 13.95/2.15 ~top_str(sk0_43)|spl0_7),
% 13.95/2.15 inference(component_clause,[status(thm)],[f672])).
% 13.95/2.15 fof(f675,plain,(
% 13.95/2.15 spl0_8 <=> neighborhood_system(sk0_43,sk0_44)=a_2_0_yellow19(sk0_43,sk0_44)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f676,plain,(
% 13.95/2.15 neighborhood_system(sk0_43,sk0_44)=a_2_0_yellow19(sk0_43,sk0_44)|~spl0_8),
% 13.95/2.15 inference(component_clause,[status(thm)],[f675])).
% 13.95/2.15 fof(f678,plain,(
% 13.95/2.15 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|neighborhood_system(sk0_43,sk0_44)=a_2_0_yellow19(sk0_43,sk0_44)),
% 13.95/2.15 inference(resolution,[status(thm)],[f220,f625])).
% 13.95/2.15 fof(f679,plain,(
% 13.95/2.15 spl0_5|~spl0_6|~spl0_7|spl0_8),
% 13.95/2.15 inference(split_clause,[status(thm)],[f678,f666,f669,f672,f675])).
% 13.95/2.15 fof(f680,plain,(
% 13.95/2.15 $false|spl0_7),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f674,f624])).
% 13.95/2.15 fof(f681,plain,(
% 13.95/2.15 spl0_7),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f680])).
% 13.95/2.15 fof(f682,plain,(
% 13.95/2.15 $false|spl0_6),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f671,f623])).
% 13.95/2.15 fof(f683,plain,(
% 13.95/2.15 spl0_6),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f682])).
% 13.95/2.15 fof(f684,plain,(
% 13.95/2.15 $false|~spl0_5),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f667,f622])).
% 13.95/2.15 fof(f685,plain,(
% 13.95/2.15 ~spl0_5),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f684])).
% 13.95/2.15 fof(f688,plain,(
% 13.95/2.15 spl0_9 <=> element(neighborhood_system(sk0_43,sk0_44),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f689,plain,(
% 13.95/2.15 element(neighborhood_system(sk0_43,sk0_44),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|~spl0_9),
% 13.95/2.15 inference(component_clause,[status(thm)],[f688])).
% 13.95/2.15 fof(f691,plain,(
% 13.95/2.15 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|element(neighborhood_system(sk0_43,sk0_44),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.15 inference(resolution,[status(thm)],[f225,f625])).
% 13.95/2.15 fof(f692,plain,(
% 13.95/2.15 spl0_5|~spl0_6|~spl0_7|spl0_9),
% 13.95/2.15 inference(split_clause,[status(thm)],[f691,f666,f669,f672,f688])).
% 13.95/2.15 fof(f695,plain,(
% 13.95/2.15 spl0_10 <=> empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f696,plain,(
% 13.95/2.15 empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|~spl0_10),
% 13.95/2.15 inference(component_clause,[status(thm)],[f695])).
% 13.95/2.15 fof(f698,plain,(
% 13.95/2.15 spl0_11 <=> in(neighborhood_system(sk0_43,sk0_44),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f701,plain,(
% 13.95/2.15 empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|in(neighborhood_system(sk0_43,sk0_44),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|~spl0_9),
% 13.95/2.15 inference(resolution,[status(thm)],[f689,f609])).
% 13.95/2.15 fof(f702,plain,(
% 13.95/2.15 spl0_10|spl0_11|~spl0_9),
% 13.95/2.15 inference(split_clause,[status(thm)],[f701,f695,f698,f688])).
% 13.95/2.15 fof(f703,plain,(
% 13.95/2.15 spl0_12 <=> empty_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f704,plain,(
% 13.95/2.15 empty_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))|~spl0_12),
% 13.95/2.15 inference(component_clause,[status(thm)],[f703])).
% 13.95/2.15 fof(f732,plain,(
% 13.95/2.15 spl0_19 <=> element(sk0_44,the_carrier(sk0_43))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f734,plain,(
% 13.95/2.15 ~element(sk0_44,the_carrier(sk0_43))|spl0_19),
% 13.95/2.15 inference(component_clause,[status(thm)],[f732])).
% 13.95/2.15 fof(f735,plain,(
% 13.95/2.15 spl0_20 <=> element(sk0_45,powerset(the_carrier(sk0_43)))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f736,plain,(
% 13.95/2.15 element(sk0_45,powerset(the_carrier(sk0_43)))|~spl0_20),
% 13.95/2.15 inference(component_clause,[status(thm)],[f735])).
% 13.95/2.15 fof(f738,plain,(
% 13.95/2.15 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_44,the_carrier(sk0_43))|element(sk0_45,powerset(the_carrier(sk0_43)))|~spl0_1),
% 13.95/2.15 inference(resolution,[status(thm)],[f646,f236])).
% 13.95/2.15 fof(f739,plain,(
% 13.95/2.15 spl0_5|~spl0_6|~spl0_7|~spl0_19|spl0_20|~spl0_1),
% 13.95/2.15 inference(split_clause,[status(thm)],[f738,f666,f669,f672,f732,f735,f645])).
% 13.95/2.15 fof(f740,plain,(
% 13.95/2.15 $false|spl0_19),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f734,f625])).
% 13.95/2.15 fof(f741,plain,(
% 13.95/2.15 spl0_19),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f740])).
% 13.95/2.15 fof(f742,plain,(
% 13.95/2.15 spl0_21 <=> empty(powerset(the_carrier(sk0_43)))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f743,plain,(
% 13.95/2.15 empty(powerset(the_carrier(sk0_43)))|~spl0_21),
% 13.95/2.15 inference(component_clause,[status(thm)],[f742])).
% 13.95/2.15 fof(f745,plain,(
% 13.95/2.15 spl0_22 <=> in(sk0_45,powerset(the_carrier(sk0_43)))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f748,plain,(
% 13.95/2.15 empty(powerset(the_carrier(sk0_43)))|in(sk0_45,powerset(the_carrier(sk0_43)))|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f736,f609])).
% 13.95/2.15 fof(f749,plain,(
% 13.95/2.15 spl0_21|spl0_22|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f748,f742,f745,f735])).
% 13.95/2.15 fof(f750,plain,(
% 13.95/2.15 spl0_23 <=> rel_str(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f752,plain,(
% 13.95/2.15 ~rel_str(sk0_11)|spl0_23),
% 13.95/2.15 inference(component_clause,[status(thm)],[f750])).
% 13.95/2.15 fof(f753,plain,(
% 13.95/2.15 spl0_24 <=> sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f756,plain,(
% 13.95/2.15 ~rel_str(sk0_11)|sk0_11=rel_str_of(the_carrier(sk0_11),the_InternalRel(sk0_11))),
% 13.95/2.15 inference(resolution,[status(thm)],[f402,f122])).
% 13.95/2.15 fof(f757,plain,(
% 13.95/2.15 ~spl0_23|spl0_24),
% 13.95/2.15 inference(split_clause,[status(thm)],[f756,f750,f753])).
% 13.95/2.15 fof(f758,plain,(
% 13.95/2.15 $false|spl0_23),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f752,f400])).
% 13.95/2.15 fof(f759,plain,(
% 13.95/2.15 spl0_23),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f758])).
% 13.95/2.15 fof(f760,plain,(
% 13.95/2.15 spl0_25 <=> empty_carrier(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f761,plain,(
% 13.95/2.15 empty_carrier(sk0_11)|~spl0_25),
% 13.95/2.15 inference(component_clause,[status(thm)],[f760])).
% 13.95/2.15 fof(f763,plain,(
% 13.95/2.15 spl0_26 <=> reflexive_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f765,plain,(
% 13.95/2.15 ~reflexive_relstr(sk0_11)|spl0_26),
% 13.95/2.15 inference(component_clause,[status(thm)],[f763])).
% 13.95/2.15 fof(f766,plain,(
% 13.95/2.15 spl0_27 <=> join_complete_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f769,plain,(
% 13.95/2.15 ~rel_str(sk0_11)|empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|join_complete_relstr(sk0_11)),
% 13.95/2.15 inference(resolution,[status(thm)],[f408,f129])).
% 13.95/2.15 fof(f770,plain,(
% 13.95/2.15 ~spl0_23|spl0_25|~spl0_26|spl0_27),
% 13.95/2.15 inference(split_clause,[status(thm)],[f769,f750,f760,f763,f766])).
% 13.95/2.15 fof(f771,plain,(
% 13.95/2.15 spl0_28 <=> up_complete_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f774,plain,(
% 13.95/2.15 ~rel_str(sk0_11)|empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|up_complete_relstr(sk0_11)),
% 13.95/2.15 inference(resolution,[status(thm)],[f408,f128])).
% 13.95/2.15 fof(f775,plain,(
% 13.95/2.15 ~spl0_23|spl0_25|~spl0_26|spl0_28),
% 13.95/2.15 inference(split_clause,[status(thm)],[f774,f750,f760,f763,f771])).
% 13.95/2.15 fof(f776,plain,(
% 13.95/2.15 $false|spl0_26),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f765,f403])).
% 13.95/2.15 fof(f777,plain,(
% 13.95/2.15 spl0_26),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f776])).
% 13.95/2.15 fof(f778,plain,(
% 13.95/2.15 $false|~spl0_25),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f761,f401])).
% 13.95/2.15 fof(f779,plain,(
% 13.95/2.15 ~spl0_25),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f778])).
% 13.95/2.15 fof(f780,plain,(
% 13.95/2.15 spl0_29 <=> transitive_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f782,plain,(
% 13.95/2.15 ~transitive_relstr(sk0_11)|spl0_29),
% 13.95/2.15 inference(component_clause,[status(thm)],[f780])).
% 13.95/2.15 fof(f783,plain,(
% 13.95/2.15 spl0_30 <=> antisymmetric_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f785,plain,(
% 13.95/2.15 ~antisymmetric_relstr(sk0_11)|spl0_30),
% 13.95/2.15 inference(component_clause,[status(thm)],[f783])).
% 13.95/2.15 fof(f786,plain,(
% 13.95/2.15 spl0_31 <=> lower_bounded_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f788,plain,(
% 13.95/2.15 ~lower_bounded_relstr(sk0_11)|spl0_31),
% 13.95/2.15 inference(component_clause,[status(thm)],[f786])).
% 13.95/2.15 fof(f789,plain,(
% 13.95/2.15 spl0_32 <=> with_infima_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f794,plain,(
% 13.95/2.15 $false|spl0_31),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f788,f409])).
% 13.95/2.15 fof(f795,plain,(
% 13.95/2.15 spl0_31),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f794])).
% 13.95/2.15 fof(f796,plain,(
% 13.95/2.15 $false|spl0_30),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f785,f405])).
% 13.95/2.15 fof(f797,plain,(
% 13.95/2.15 spl0_30),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f796])).
% 13.95/2.15 fof(f798,plain,(
% 13.95/2.15 $false|spl0_29),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f782,f404])).
% 13.95/2.15 fof(f799,plain,(
% 13.95/2.15 spl0_29),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f798])).
% 13.95/2.15 fof(f800,plain,(
% 13.95/2.15 spl0_33 <=> complete_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f805,plain,(
% 13.95/2.15 spl0_34 <=> upper_bounded_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f812,plain,(
% 13.95/2.15 spl0_35 <=> rel_str(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f814,plain,(
% 13.95/2.15 ~rel_str(sk0_13)|spl0_35),
% 13.95/2.15 inference(component_clause,[status(thm)],[f812])).
% 13.95/2.15 fof(f815,plain,(
% 13.95/2.15 spl0_36 <=> sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f818,plain,(
% 13.95/2.15 ~rel_str(sk0_13)|sk0_13=rel_str_of(the_carrier(sk0_13),the_InternalRel(sk0_13))),
% 13.95/2.15 inference(resolution,[status(thm)],[f420,f122])).
% 13.95/2.15 fof(f819,plain,(
% 13.95/2.15 ~spl0_35|spl0_36),
% 13.95/2.15 inference(split_clause,[status(thm)],[f818,f812,f815])).
% 13.95/2.15 fof(f820,plain,(
% 13.95/2.15 $false|spl0_35),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f814,f418])).
% 13.95/2.15 fof(f821,plain,(
% 13.95/2.15 spl0_35),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f820])).
% 13.95/2.15 fof(f822,plain,(
% 13.95/2.15 spl0_37 <=> empty_carrier(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f823,plain,(
% 13.95/2.15 empty_carrier(sk0_13)|~spl0_37),
% 13.95/2.15 inference(component_clause,[status(thm)],[f822])).
% 13.95/2.15 fof(f825,plain,(
% 13.95/2.15 spl0_38 <=> reflexive_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f827,plain,(
% 13.95/2.15 ~reflexive_relstr(sk0_13)|spl0_38),
% 13.95/2.15 inference(component_clause,[status(thm)],[f825])).
% 13.95/2.15 fof(f828,plain,(
% 13.95/2.15 spl0_39 <=> join_complete_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f829,plain,(
% 13.95/2.15 join_complete_relstr(sk0_13)|~spl0_39),
% 13.95/2.15 inference(component_clause,[status(thm)],[f828])).
% 13.95/2.15 fof(f831,plain,(
% 13.95/2.15 ~rel_str(sk0_13)|empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|join_complete_relstr(sk0_13)),
% 13.95/2.15 inference(resolution,[status(thm)],[f424,f129])).
% 13.95/2.15 fof(f832,plain,(
% 13.95/2.15 ~spl0_35|spl0_37|~spl0_38|spl0_39),
% 13.95/2.15 inference(split_clause,[status(thm)],[f831,f812,f822,f825,f828])).
% 13.95/2.15 fof(f833,plain,(
% 13.95/2.15 spl0_40 <=> up_complete_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f836,plain,(
% 13.95/2.15 ~rel_str(sk0_13)|empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|up_complete_relstr(sk0_13)),
% 13.95/2.15 inference(resolution,[status(thm)],[f424,f128])).
% 13.95/2.15 fof(f837,plain,(
% 13.95/2.15 ~spl0_35|spl0_37|~spl0_38|spl0_40),
% 13.95/2.15 inference(split_clause,[status(thm)],[f836,f812,f822,f825,f833])).
% 13.95/2.15 fof(f838,plain,(
% 13.95/2.15 $false|spl0_38),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f827,f421])).
% 13.95/2.15 fof(f839,plain,(
% 13.95/2.15 spl0_38),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f838])).
% 13.95/2.15 fof(f840,plain,(
% 13.95/2.15 $false|~spl0_37),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f823,f419])).
% 13.95/2.15 fof(f841,plain,(
% 13.95/2.15 ~spl0_37),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f840])).
% 13.95/2.15 fof(f842,plain,(
% 13.95/2.15 spl0_41 <=> rel_str(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f844,plain,(
% 13.95/2.15 ~rel_str(sk0_18)|spl0_41),
% 13.95/2.15 inference(component_clause,[status(thm)],[f842])).
% 13.95/2.15 fof(f845,plain,(
% 13.95/2.15 spl0_42 <=> sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f848,plain,(
% 13.95/2.15 ~rel_str(sk0_18)|sk0_18=rel_str_of(the_carrier(sk0_18),the_InternalRel(sk0_18))),
% 13.95/2.15 inference(resolution,[status(thm)],[f445,f122])).
% 13.95/2.15 fof(f849,plain,(
% 13.95/2.15 ~spl0_41|spl0_42),
% 13.95/2.15 inference(split_clause,[status(thm)],[f848,f842,f845])).
% 13.95/2.15 fof(f850,plain,(
% 13.95/2.15 $false|spl0_41),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f844,f442])).
% 13.95/2.15 fof(f851,plain,(
% 13.95/2.15 spl0_41),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f850])).
% 13.95/2.15 fof(f852,plain,(
% 13.95/2.15 spl0_43 <=> empty_carrier(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f855,plain,(
% 13.95/2.15 spl0_44 <=> reflexive_relstr(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f857,plain,(
% 13.95/2.15 ~reflexive_relstr(sk0_18)|spl0_44),
% 13.95/2.15 inference(component_clause,[status(thm)],[f855])).
% 13.95/2.15 fof(f858,plain,(
% 13.95/2.15 spl0_45 <=> transitive_relstr(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f860,plain,(
% 13.95/2.15 ~transitive_relstr(sk0_18)|spl0_45),
% 13.95/2.15 inference(component_clause,[status(thm)],[f858])).
% 13.95/2.15 fof(f861,plain,(
% 13.95/2.15 spl0_46 <=> antisymmetric_relstr(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f863,plain,(
% 13.95/2.15 ~antisymmetric_relstr(sk0_18)|spl0_46),
% 13.95/2.15 inference(component_clause,[status(thm)],[f861])).
% 13.95/2.15 fof(f864,plain,(
% 13.95/2.15 spl0_47 <=> lower_bounded_relstr(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f866,plain,(
% 13.95/2.15 ~lower_bounded_relstr(sk0_18)|spl0_47),
% 13.95/2.15 inference(component_clause,[status(thm)],[f864])).
% 13.95/2.15 fof(f870,plain,(
% 13.95/2.15 spl0_49 <=> upper_bounded_relstr(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f885,plain,(
% 13.95/2.15 spl0_52 <=> rel_str(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f887,plain,(
% 13.95/2.15 ~rel_str(sk0_19)|spl0_52),
% 13.95/2.15 inference(component_clause,[status(thm)],[f885])).
% 13.95/2.15 fof(f888,plain,(
% 13.95/2.15 spl0_53 <=> sk0_19=rel_str_of(the_carrier(sk0_19),the_InternalRel(sk0_19))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f891,plain,(
% 13.95/2.15 ~rel_str(sk0_19)|sk0_19=rel_str_of(the_carrier(sk0_19),the_InternalRel(sk0_19))),
% 13.95/2.15 inference(resolution,[status(thm)],[f462,f122])).
% 13.95/2.15 fof(f892,plain,(
% 13.95/2.15 ~spl0_52|spl0_53),
% 13.95/2.15 inference(split_clause,[status(thm)],[f891,f885,f888])).
% 13.95/2.15 fof(f893,plain,(
% 13.95/2.15 $false|spl0_52),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f887,f460])).
% 13.95/2.15 fof(f894,plain,(
% 13.95/2.15 spl0_52),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f893])).
% 13.95/2.15 fof(f895,plain,(
% 13.95/2.15 spl0_54 <=> empty_carrier(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f898,plain,(
% 13.95/2.15 spl0_55 <=> reflexive_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f900,plain,(
% 13.95/2.15 ~reflexive_relstr(sk0_19)|spl0_55),
% 13.95/2.15 inference(component_clause,[status(thm)],[f898])).
% 13.95/2.15 fof(f901,plain,(
% 13.95/2.15 spl0_56 <=> transitive_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f903,plain,(
% 13.95/2.15 ~transitive_relstr(sk0_19)|spl0_56),
% 13.95/2.15 inference(component_clause,[status(thm)],[f901])).
% 13.95/2.15 fof(f904,plain,(
% 13.95/2.15 spl0_57 <=> antisymmetric_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f906,plain,(
% 13.95/2.15 ~antisymmetric_relstr(sk0_19)|spl0_57),
% 13.95/2.15 inference(component_clause,[status(thm)],[f904])).
% 13.95/2.15 fof(f907,plain,(
% 13.95/2.15 spl0_58 <=> lower_bounded_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f908,plain,(
% 13.95/2.15 lower_bounded_relstr(sk0_19)|~spl0_58),
% 13.95/2.15 inference(component_clause,[status(thm)],[f907])).
% 13.95/2.15 fof(f910,plain,(
% 13.95/2.15 spl0_59 <=> up_complete_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f913,plain,(
% 13.95/2.15 spl0_60 <=> upper_bounded_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f914,plain,(
% 13.95/2.15 upper_bounded_relstr(sk0_19)|~spl0_60),
% 13.95/2.15 inference(component_clause,[status(thm)],[f913])).
% 13.95/2.15 fof(f918,plain,(
% 13.95/2.15 spl0_61 <=> complete_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f923,plain,(
% 13.95/2.15 spl0_62 <=> with_infima_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f928,plain,(
% 13.95/2.15 $false|spl0_57),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f906,f465])).
% 13.95/2.15 fof(f929,plain,(
% 13.95/2.15 spl0_57),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f928])).
% 13.95/2.15 fof(f930,plain,(
% 13.95/2.15 $false|spl0_56),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f903,f464])).
% 13.95/2.15 fof(f931,plain,(
% 13.95/2.15 spl0_56),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f930])).
% 13.95/2.15 fof(f932,plain,(
% 13.95/2.15 $false|spl0_55),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f900,f463])).
% 13.95/2.15 fof(f933,plain,(
% 13.95/2.15 spl0_55),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f932])).
% 13.95/2.15 fof(f934,plain,(
% 13.95/2.15 spl0_63 <=> bounded_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f939,plain,(
% 13.95/2.15 spl0_64 <=> bounded_relstr(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f944,plain,(
% 13.95/2.15 spl0_65 <=> bounded_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f949,plain,(
% 13.95/2.15 $false|spl0_47),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f866,f449])).
% 13.95/2.15 fof(f950,plain,(
% 13.95/2.15 spl0_47),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f949])).
% 13.95/2.15 fof(f951,plain,(
% 13.95/2.15 $false|spl0_46),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f863,f448])).
% 13.95/2.15 fof(f952,plain,(
% 13.95/2.15 spl0_46),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f951])).
% 13.95/2.15 fof(f953,plain,(
% 13.95/2.15 $false|spl0_45),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f860,f447])).
% 13.95/2.15 fof(f954,plain,(
% 13.95/2.15 spl0_45),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f953])).
% 13.95/2.15 fof(f955,plain,(
% 13.95/2.15 $false|spl0_44),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f857,f446])).
% 13.95/2.15 fof(f956,plain,(
% 13.95/2.15 spl0_44),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f955])).
% 13.95/2.15 fof(f957,plain,(
% 13.95/2.15 spl0_66 <=> join_complete_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f958,plain,(
% 13.95/2.15 join_complete_relstr(sk0_19)|~spl0_66),
% 13.95/2.15 inference(component_clause,[status(thm)],[f957])).
% 13.95/2.15 fof(f967,plain,(
% 13.95/2.15 spl0_68 <=> with_infima_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f968,plain,(
% 13.95/2.15 with_infima_relstr(sk0_13)|~spl0_68),
% 13.95/2.15 inference(component_clause,[status(thm)],[f967])).
% 13.95/2.15 fof(f974,plain,(
% 13.95/2.15 spl0_69 <=> rel_str(sk0_10)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f976,plain,(
% 13.95/2.15 ~rel_str(sk0_10)|spl0_69),
% 13.95/2.15 inference(component_clause,[status(thm)],[f974])).
% 13.95/2.15 fof(f977,plain,(
% 13.95/2.15 spl0_70 <=> empty_carrier(sk0_10)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f978,plain,(
% 13.95/2.15 empty_carrier(sk0_10)|~spl0_70),
% 13.95/2.15 inference(component_clause,[status(thm)],[f977])).
% 13.95/2.15 fof(f980,plain,(
% 13.95/2.15 spl0_71 <=> reflexive_relstr(sk0_10)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f982,plain,(
% 13.95/2.15 ~reflexive_relstr(sk0_10)|spl0_71),
% 13.95/2.15 inference(component_clause,[status(thm)],[f980])).
% 13.95/2.15 fof(f991,plain,(
% 13.95/2.15 $false|spl0_71),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f982,f395])).
% 13.95/2.15 fof(f992,plain,(
% 13.95/2.15 spl0_71),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f991])).
% 13.95/2.15 fof(f993,plain,(
% 13.95/2.15 $false|spl0_69),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f976,f393])).
% 13.95/2.15 fof(f994,plain,(
% 13.95/2.15 spl0_69),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f993])).
% 13.95/2.15 fof(f995,plain,(
% 13.95/2.15 spl0_74 <=> with_suprema_relstr(sk0_18)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f997,plain,(
% 13.95/2.15 ~with_suprema_relstr(sk0_18)|spl0_74),
% 13.95/2.15 inference(component_clause,[status(thm)],[f995])).
% 13.95/2.15 fof(f1000,plain,(
% 13.95/2.15 spl0_75 <=> with_suprema_relstr(sk0_11)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1005,plain,(
% 13.95/2.15 finite(sk0_14)),
% 13.95/2.15 inference(resolution,[status(thm)],[f157,f426])).
% 13.95/2.15 fof(f1009,plain,(
% 13.95/2.15 finite(the_carrier(sk0_43))|~spl0_2),
% 13.95/2.15 inference(resolution,[status(thm)],[f157,f651])).
% 13.95/2.15 fof(f1012,plain,(
% 13.95/2.15 ![X0]: (~rel_str(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))),
% 13.95/2.15 inference(backward_subsumption_resolution,[status(thm)],[f141,f159])).
% 13.95/2.15 fof(f1013,plain,(
% 13.95/2.15 ![X0]: (~rel_str(X0)|~reflexive_relstr(X0)|~transitive_relstr(X0)|~antisymmetric_relstr(X0)|~with_suprema_relstr(X0)|~lower_bounded_relstr(X0)|~up_complete_relstr(X0)|with_infima_relstr(X0))),
% 13.95/2.15 inference(backward_subsumption_resolution,[status(thm)],[f140,f159])).
% 13.95/2.15 fof(f1014,plain,(
% 13.95/2.15 ~rel_str(sk0_19)|~empty_carrier(sk0_19)),
% 13.95/2.15 inference(resolution,[status(thm)],[f159,f466])).
% 13.95/2.15 fof(f1015,plain,(
% 13.95/2.15 ~spl0_52|~spl0_54),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1014,f885,f895])).
% 13.95/2.15 fof(f1016,plain,(
% 13.95/2.15 ~rel_str(sk0_18)|~empty_carrier(sk0_18)),
% 13.95/2.15 inference(resolution,[status(thm)],[f159,f457])).
% 13.95/2.15 fof(f1017,plain,(
% 13.95/2.15 ~spl0_41|~spl0_43),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1016,f842,f852])).
% 13.95/2.15 fof(f1020,plain,(
% 13.95/2.15 ~rel_str(sk0_19)|empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|join_complete_relstr(sk0_19)),
% 13.95/2.15 inference(resolution,[status(thm)],[f468,f129])).
% 13.95/2.15 fof(f1021,plain,(
% 13.95/2.15 ~spl0_52|spl0_54|~spl0_55|spl0_66),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1020,f885,f895,f898,f957])).
% 13.95/2.15 fof(f1022,plain,(
% 13.95/2.15 ~rel_str(sk0_19)|empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|up_complete_relstr(sk0_19)),
% 13.95/2.15 inference(resolution,[status(thm)],[f468,f128])).
% 13.95/2.15 fof(f1023,plain,(
% 13.95/2.15 ~spl0_52|spl0_54|~spl0_55|spl0_59),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1022,f885,f895,f898,f910])).
% 13.95/2.15 fof(f1024,plain,(
% 13.95/2.15 spl0_76 <=> rel_str(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1026,plain,(
% 13.95/2.15 ~rel_str(sk0_20)|spl0_76),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1024])).
% 13.95/2.15 fof(f1027,plain,(
% 13.95/2.15 spl0_77 <=> sk0_20=rel_str_of(the_carrier(sk0_20),the_InternalRel(sk0_20))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1030,plain,(
% 13.95/2.15 ~rel_str(sk0_20)|sk0_20=rel_str_of(the_carrier(sk0_20),the_InternalRel(sk0_20))),
% 13.95/2.15 inference(resolution,[status(thm)],[f473,f122])).
% 13.95/2.15 fof(f1031,plain,(
% 13.95/2.15 ~spl0_76|spl0_77),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1030,f1024,f1027])).
% 13.95/2.15 fof(f1032,plain,(
% 13.95/2.15 $false|spl0_76),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f1026,f471])).
% 13.95/2.15 fof(f1033,plain,(
% 13.95/2.15 spl0_76),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1032])).
% 13.95/2.15 fof(f1034,plain,(
% 13.95/2.15 spl0_78 <=> empty_carrier(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1037,plain,(
% 13.95/2.15 spl0_79 <=> reflexive_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1039,plain,(
% 13.95/2.15 ~reflexive_relstr(sk0_20)|spl0_79),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1037])).
% 13.95/2.15 fof(f1040,plain,(
% 13.95/2.15 spl0_80 <=> join_complete_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1041,plain,(
% 13.95/2.15 join_complete_relstr(sk0_20)|~spl0_80),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1040])).
% 13.95/2.15 fof(f1043,plain,(
% 13.95/2.15 spl0_81 <=> with_infima_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1048,plain,(
% 13.95/2.15 $false|spl0_79),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f1039,f474])).
% 13.95/2.15 fof(f1049,plain,(
% 13.95/2.15 spl0_79),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1048])).
% 13.95/2.15 fof(f1050,plain,(
% 13.95/2.15 ~rel_str(sk0_20)|~empty_carrier(sk0_20)),
% 13.95/2.15 inference(resolution,[status(thm)],[f477,f159])).
% 13.95/2.15 fof(f1051,plain,(
% 13.95/2.15 ~spl0_76|~spl0_78),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1050,f1024,f1034])).
% 13.95/2.15 fof(f1052,plain,(
% 13.95/2.15 ~rel_str(sk0_20)|empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|join_complete_relstr(sk0_20)),
% 13.95/2.15 inference(resolution,[status(thm)],[f479,f129])).
% 13.95/2.15 fof(f1053,plain,(
% 13.95/2.15 ~spl0_76|spl0_78|~spl0_79|spl0_80),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1052,f1024,f1034,f1037,f1040])).
% 13.95/2.15 fof(f1054,plain,(
% 13.95/2.15 spl0_82 <=> up_complete_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1057,plain,(
% 13.95/2.15 ~rel_str(sk0_20)|empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|up_complete_relstr(sk0_20)),
% 13.95/2.15 inference(resolution,[status(thm)],[f479,f128])).
% 13.95/2.15 fof(f1058,plain,(
% 13.95/2.15 ~spl0_76|spl0_78|~spl0_79|spl0_82),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1057,f1024,f1034,f1037,f1054])).
% 13.95/2.15 fof(f1059,plain,(
% 13.95/2.15 spl0_83 <=> rel_str(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1061,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|spl0_83),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1059])).
% 13.95/2.15 fof(f1062,plain,(
% 13.95/2.15 spl0_84 <=> empty_carrier(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1065,plain,(
% 13.95/2.15 spl0_85 <=> reflexive_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1067,plain,(
% 13.95/2.15 ~reflexive_relstr(sk0_26)|spl0_85),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1065])).
% 13.95/2.15 fof(f1068,plain,(
% 13.95/2.15 spl0_86 <=> join_complete_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1071,plain,(
% 13.95/2.15 spl0_87 <=> with_infima_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1076,plain,(
% 13.95/2.15 $false|spl0_85),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f1067,f505])).
% 13.95/2.15 fof(f1077,plain,(
% 13.95/2.15 spl0_85),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1076])).
% 13.95/2.15 fof(f1078,plain,(
% 13.95/2.15 $false|spl0_83),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f1061,f503])).
% 13.95/2.15 fof(f1079,plain,(
% 13.95/2.15 spl0_83),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1078])).
% 13.95/2.15 fof(f1080,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|~empty_carrier(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f508,f159])).
% 13.95/2.15 fof(f1081,plain,(
% 13.95/2.15 ~spl0_83|~spl0_84),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1080,f1059,f1062])).
% 13.95/2.15 fof(f1082,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|join_complete_relstr(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f510,f129])).
% 13.95/2.15 fof(f1083,plain,(
% 13.95/2.15 ~spl0_83|spl0_84|~spl0_85|spl0_86),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1082,f1059,f1062,f1065,f1068])).
% 13.95/2.15 fof(f1084,plain,(
% 13.95/2.15 spl0_88 <=> up_complete_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1087,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|up_complete_relstr(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f510,f128])).
% 13.95/2.15 fof(f1088,plain,(
% 13.95/2.15 ~spl0_83|spl0_84|~spl0_85|spl0_88),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1087,f1059,f1062,f1065,f1084])).
% 13.95/2.15 fof(f1089,plain,(
% 13.95/2.15 spl0_89 <=> antisymmetric_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1091,plain,(
% 13.95/2.15 ~antisymmetric_relstr(sk0_26)|spl0_89),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1089])).
% 13.95/2.15 fof(f1092,plain,(
% 13.95/2.15 spl0_90 <=> with_suprema_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1097,plain,(
% 13.95/2.15 $false|spl0_89),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f1091,f507])).
% 13.95/2.15 fof(f1098,plain,(
% 13.95/2.15 spl0_89),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1097])).
% 13.95/2.15 fof(f1099,plain,(
% 13.95/2.15 spl0_91 <=> rel_str(sk0_34)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1101,plain,(
% 13.95/2.15 ~rel_str(sk0_34)|spl0_91),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1099])).
% 13.95/2.15 fof(f1102,plain,(
% 13.95/2.15 spl0_92 <=> sk0_34=rel_str_of(the_carrier(sk0_34),the_InternalRel(sk0_34))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1105,plain,(
% 13.95/2.15 ~rel_str(sk0_34)|sk0_34=rel_str_of(the_carrier(sk0_34),the_InternalRel(sk0_34))),
% 13.95/2.15 inference(resolution,[status(thm)],[f554,f122])).
% 13.95/2.15 fof(f1106,plain,(
% 13.95/2.15 ~spl0_91|spl0_92),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1105,f1099,f1102])).
% 13.95/2.15 fof(f1107,plain,(
% 13.95/2.15 $false|spl0_91),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f1101,f552])).
% 13.95/2.15 fof(f1108,plain,(
% 13.95/2.15 spl0_91),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1107])).
% 13.95/2.15 fof(f1109,plain,(
% 13.95/2.15 spl0_93 <=> lower_bounded_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1110,plain,(
% 13.95/2.15 lower_bounded_relstr(sk0_13)|~spl0_93),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1109])).
% 13.95/2.15 fof(f1112,plain,(
% 13.95/2.15 ~rel_str(sk0_13)|empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|lower_bounded_relstr(sk0_13)|~spl0_39),
% 13.95/2.15 inference(resolution,[status(thm)],[f829,f133])).
% 13.95/2.15 fof(f1113,plain,(
% 13.95/2.15 ~spl0_35|spl0_37|~spl0_38|spl0_93|~spl0_39),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1112,f812,f822,f825,f1109,f828])).
% 13.95/2.15 fof(f1114,plain,(
% 13.95/2.15 ~rel_str(sk0_19)|empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|lower_bounded_relstr(sk0_19)|~spl0_66),
% 13.95/2.15 inference(resolution,[status(thm)],[f958,f133])).
% 13.95/2.15 fof(f1115,plain,(
% 13.95/2.15 ~spl0_52|spl0_54|~spl0_55|spl0_58|~spl0_66),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1114,f885,f895,f898,f907,f957])).
% 13.95/2.15 fof(f1116,plain,(
% 13.95/2.15 spl0_94 <=> lower_bounded_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1117,plain,(
% 13.95/2.15 lower_bounded_relstr(sk0_20)|~spl0_94),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1116])).
% 13.95/2.15 fof(f1119,plain,(
% 13.95/2.15 ~rel_str(sk0_20)|empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|lower_bounded_relstr(sk0_20)|~spl0_80),
% 13.95/2.15 inference(resolution,[status(thm)],[f1041,f133])).
% 13.95/2.15 fof(f1120,plain,(
% 13.95/2.15 ~spl0_76|spl0_78|~spl0_79|spl0_94|~spl0_80),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1119,f1024,f1034,f1037,f1116,f1040])).
% 13.95/2.15 fof(f1121,plain,(
% 13.95/2.15 spl0_95 <=> lower_bounded_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1126,plain,(
% 13.95/2.15 spl0_96 <=> with_suprema_relstr(sk0_19)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1132,plain,(
% 13.95/2.15 $false|~spl0_10),
% 13.95/2.15 inference(backward_subsumption_resolution,[status(thm)],[f696,f267])).
% 13.95/2.15 fof(f1133,plain,(
% 13.95/2.15 ~spl0_10),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1132])).
% 13.95/2.15 fof(f1134,plain,(
% 13.95/2.15 $false|~spl0_21),
% 13.95/2.15 inference(backward_subsumption_resolution,[status(thm)],[f743,f267])).
% 13.95/2.15 fof(f1135,plain,(
% 13.95/2.15 ~spl0_21),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1134])).
% 13.95/2.15 fof(f1139,plain,(
% 13.95/2.15 spl0_97 <=> empty(sk0_45)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1140,plain,(
% 13.95/2.15 empty(sk0_45)|~spl0_97),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1139])).
% 13.95/2.15 fof(f1142,plain,(
% 13.95/2.15 spl0_98 <=> open_subset(sk0_45,sk0_43)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1145,plain,(
% 13.95/2.15 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_45)|open_subset(sk0_45,sk0_43)|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f166,f736])).
% 13.95/2.15 fof(f1146,plain,(
% 13.95/2.15 ~spl0_6|~spl0_7|~spl0_97|spl0_98|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1145,f669,f672,f1139,f1142,f735])).
% 13.95/2.15 fof(f1152,plain,(
% 13.95/2.15 spl0_100 <=> closed_subset(sk0_45,sk0_43)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1155,plain,(
% 13.95/2.15 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_45)|closed_subset(sk0_45,sk0_43)|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f167,f736])).
% 13.95/2.15 fof(f1156,plain,(
% 13.95/2.15 ~spl0_6|~spl0_7|~spl0_97|spl0_100|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1155,f669,f672,f1139,f1152,f735])).
% 13.95/2.15 fof(f1162,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|empty_carrier(sk0_26)|with_suprema_relstr(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f170,f510])).
% 13.95/2.15 fof(f1163,plain,(
% 13.95/2.15 ~spl0_83|spl0_84|spl0_90),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1162,f1059,f1062,f1092])).
% 13.95/2.15 fof(f1164,plain,(
% 13.95/2.15 spl0_102 <=> with_suprema_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1167,plain,(
% 13.95/2.15 ~rel_str(sk0_20)|empty_carrier(sk0_20)|with_suprema_relstr(sk0_20)),
% 13.95/2.15 inference(resolution,[status(thm)],[f170,f479])).
% 13.95/2.15 fof(f1168,plain,(
% 13.95/2.15 ~spl0_76|spl0_78|spl0_102),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1167,f1024,f1034,f1164])).
% 13.95/2.15 fof(f1169,plain,(
% 13.95/2.15 ~rel_str(sk0_19)|empty_carrier(sk0_19)|with_suprema_relstr(sk0_19)),
% 13.95/2.15 inference(resolution,[status(thm)],[f170,f468])).
% 13.95/2.15 fof(f1170,plain,(
% 13.95/2.15 ~spl0_52|spl0_54|spl0_96),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1169,f885,f895,f1126])).
% 13.95/2.15 fof(f1171,plain,(
% 13.95/2.15 spl0_103 <=> with_suprema_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1172,plain,(
% 13.95/2.15 with_suprema_relstr(sk0_13)|~spl0_103),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1171])).
% 13.95/2.15 fof(f1174,plain,(
% 13.95/2.15 ~rel_str(sk0_13)|empty_carrier(sk0_13)|with_suprema_relstr(sk0_13)),
% 13.95/2.15 inference(resolution,[status(thm)],[f170,f424])).
% 13.95/2.15 fof(f1175,plain,(
% 13.95/2.15 ~spl0_35|spl0_37|spl0_103),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1174,f812,f822,f1171])).
% 13.95/2.15 fof(f1176,plain,(
% 13.95/2.15 ~rel_str(sk0_11)|empty_carrier(sk0_11)|with_suprema_relstr(sk0_11)),
% 13.95/2.15 inference(resolution,[status(thm)],[f170,f408])).
% 13.95/2.15 fof(f1177,plain,(
% 13.95/2.15 ~spl0_23|spl0_25|spl0_75),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1176,f750,f760,f1000])).
% 13.95/2.15 fof(f1178,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|empty_carrier(sk0_26)|with_infima_relstr(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f171,f510])).
% 13.95/2.15 fof(f1179,plain,(
% 13.95/2.15 ~spl0_83|spl0_84|spl0_87),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1178,f1059,f1062,f1071])).
% 13.95/2.15 fof(f1188,plain,(
% 13.95/2.15 spl0_104 <=> finite(the_carrier(sk0_43))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1190,plain,(
% 13.95/2.15 ~finite(the_carrier(sk0_43))|spl0_104),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1188])).
% 13.95/2.15 fof(f1191,plain,(
% 13.95/2.15 spl0_105 <=> finite(sk0_45)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1194,plain,(
% 13.95/2.15 ~finite(the_carrier(sk0_43))|finite(sk0_45)|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f173,f736])).
% 13.95/2.15 fof(f1195,plain,(
% 13.95/2.15 ~spl0_104|spl0_105|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1194,f1188,f1191,f735])).
% 13.95/2.15 fof(f1204,plain,(
% 13.95/2.15 $false|~spl0_2|spl0_104),
% 13.95/2.15 inference(forward_subsumption_resolution,[status(thm)],[f1190,f1009])).
% 13.95/2.15 fof(f1205,plain,(
% 13.95/2.15 ~spl0_2|spl0_104),
% 13.95/2.15 inference(contradiction_clause,[status(thm)],[f1204])).
% 13.95/2.15 fof(f1218,plain,(
% 13.95/2.15 spl0_108 <=> boundary_set(sk0_45,sk0_43)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1221,plain,(
% 13.95/2.15 ~top_str(sk0_43)|~empty(sk0_45)|boundary_set(sk0_45,sk0_43)|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f177,f736])).
% 13.95/2.15 fof(f1222,plain,(
% 13.95/2.15 ~spl0_7|~spl0_97|spl0_108|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1221,f672,f1139,f1218,f735])).
% 13.95/2.15 fof(f1255,plain,(
% 13.95/2.15 spl0_110 <=> nowhere_dense(sk0_45,sk0_43)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1258,plain,(
% 13.95/2.15 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_45)|nowhere_dense(sk0_45,sk0_43)|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f185,f736])).
% 13.95/2.15 fof(f1259,plain,(
% 13.95/2.15 ~spl0_6|~spl0_7|~spl0_97|spl0_110|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1258,f669,f672,f1139,f1255,f735])).
% 13.95/2.15 fof(f1265,plain,(
% 13.95/2.15 spl0_112 <=> bounded_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1268,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|empty_carrier(sk0_26)|bounded_relstr(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f188,f510])).
% 13.95/2.15 fof(f1269,plain,(
% 13.95/2.15 ~spl0_83|spl0_84|spl0_112),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1268,f1059,f1062,f1265])).
% 13.95/2.15 fof(f1270,plain,(
% 13.95/2.15 spl0_113 <=> bounded_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1277,plain,(
% 13.95/2.15 spl0_114 <=> bounded_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1282,plain,(
% 13.95/2.15 ~rel_str(sk0_11)|empty_carrier(sk0_11)|bounded_relstr(sk0_11)),
% 13.95/2.15 inference(resolution,[status(thm)],[f188,f408])).
% 13.95/2.15 fof(f1283,plain,(
% 13.95/2.15 ~spl0_23|spl0_25|spl0_65),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1282,f750,f760,f944])).
% 13.95/2.15 fof(f1284,plain,(
% 13.95/2.15 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_45,sk0_43)|boundary_set(sk0_45,sk0_43)|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f190,f736])).
% 13.95/2.15 fof(f1285,plain,(
% 13.95/2.15 ~spl0_6|~spl0_7|~spl0_110|spl0_108|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1284,f669,f672,f1255,f1218,f735])).
% 13.95/2.15 fof(f1301,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|lower_bounded_relstr(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f192,f513])).
% 13.95/2.15 fof(f1302,plain,(
% 13.95/2.15 ~spl0_83|spl0_95),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1301,f1059,f1121])).
% 13.95/2.15 fof(f1307,plain,(
% 13.95/2.15 spl0_115 <=> upper_bounded_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1308,plain,(
% 13.95/2.15 upper_bounded_relstr(sk0_20)|~spl0_115),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1307])).
% 13.95/2.15 fof(f1312,plain,(
% 13.95/2.15 spl0_116 <=> upper_bounded_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1313,plain,(
% 13.95/2.15 upper_bounded_relstr(sk0_13)|~spl0_116),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1312])).
% 13.95/2.15 fof(f1320,plain,(
% 13.95/2.15 spl0_117 <=> upper_bounded_relstr(sk0_26)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1323,plain,(
% 13.95/2.15 ~rel_str(sk0_26)|upper_bounded_relstr(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f193,f513])).
% 13.95/2.15 fof(f1324,plain,(
% 13.95/2.15 ~spl0_83|spl0_117),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1323,f1059,f1320])).
% 13.95/2.15 fof(f1325,plain,(
% 13.95/2.15 ~rel_str(sk0_18)|upper_bounded_relstr(sk0_18)),
% 13.95/2.15 inference(resolution,[status(thm)],[f193,f451])).
% 13.95/2.15 fof(f1326,plain,(
% 13.95/2.15 ~spl0_41|spl0_49),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1325,f842,f870])).
% 13.95/2.15 fof(f1327,plain,(
% 13.95/2.15 ~rel_str(sk0_11)|upper_bounded_relstr(sk0_11)),
% 13.95/2.15 inference(resolution,[status(thm)],[f193,f411])).
% 13.95/2.15 fof(f1328,plain,(
% 13.95/2.15 ~spl0_23|spl0_34),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1327,f750,f805])).
% 13.95/2.15 fof(f1329,plain,(
% 13.95/2.15 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_45,sk0_43)|~boundary_set(sk0_45,sk0_43)|nowhere_dense(sk0_45,sk0_43)|~spl0_20),
% 13.95/2.15 inference(resolution,[status(thm)],[f196,f736])).
% 13.95/2.15 fof(f1330,plain,(
% 13.95/2.15 ~spl0_6|~spl0_7|~spl0_100|~spl0_108|spl0_110|~spl0_20),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1329,f669,f672,f1152,f1218,f1255,f735])).
% 13.95/2.15 fof(f1333,plain,(
% 13.95/2.15 spl0_118 <=> antisymmetric_relstr(sk0_13)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1335,plain,(
% 13.95/2.15 ~antisymmetric_relstr(sk0_13)|spl0_118),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1333])).
% 13.95/2.15 fof(f1338,plain,(
% 13.95/2.15 spl0_119 <=> antisymmetric_relstr(sk0_20)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1340,plain,(
% 13.95/2.15 ~antisymmetric_relstr(sk0_20)|spl0_119),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1338])).
% 13.95/2.15 fof(f1346,plain,(
% 13.95/2.15 one_sorted_str(sk0_34)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f552])).
% 13.95/2.15 fof(f1347,plain,(
% 13.95/2.15 one_sorted_str(sk0_26)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f503])).
% 13.95/2.15 fof(f1348,plain,(
% 13.95/2.15 one_sorted_str(sk0_20)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f471])).
% 13.95/2.15 fof(f1349,plain,(
% 13.95/2.15 one_sorted_str(sk0_19)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f460])).
% 13.95/2.15 fof(f1350,plain,(
% 13.95/2.15 one_sorted_str(sk0_18)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f442])).
% 13.95/2.15 fof(f1351,plain,(
% 13.95/2.15 one_sorted_str(sk0_13)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f418])).
% 13.95/2.15 fof(f1352,plain,(
% 13.95/2.15 one_sorted_str(sk0_11)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f400])).
% 13.95/2.15 fof(f1353,plain,(
% 13.95/2.15 one_sorted_str(sk0_10)),
% 13.95/2.15 inference(resolution,[status(thm)],[f232,f393])).
% 13.95/2.15 fof(f1355,plain,(
% 13.95/2.15 one_sorted_str(sk0_1)),
% 13.95/2.15 inference(resolution,[status(thm)],[f234,f244])).
% 13.95/2.15 fof(f1356,plain,(
% 13.95/2.15 one_sorted_str(sk0_43)),
% 13.95/2.15 inference(resolution,[status(thm)],[f234,f624])).
% 13.95/2.15 fof(f1365,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|element(neighborhood_system(X0,sk0_5(the_carrier(X0))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))))),
% 13.95/2.15 inference(resolution,[status(thm)],[f253,f225])).
% 13.95/2.15 fof(f1366,plain,(
% 13.95/2.15 ![X0]: (empty_carrier(X0)|~topological_space(X0)|~top_str(X0)|neighborhood_system(X0,sk0_5(the_carrier(X0)))=a_2_0_yellow19(X0,sk0_5(the_carrier(X0))))),
% 13.95/2.15 inference(resolution,[status(thm)],[f253,f220])).
% 13.95/2.15 fof(f1367,plain,(
% 13.95/2.15 ![X0]: (empty(X0)|in(sk0_5(X0),X0))),
% 13.95/2.15 inference(resolution,[status(thm)],[f253,f609])).
% 13.95/2.15 fof(f1368,plain,(
% 13.95/2.15 ![X0,X1]: (empty(X0)|~element(X0,powerset(X1))|element(sk0_5(X0),X1))),
% 13.95/2.15 inference(resolution,[status(thm)],[f1367,f630])).
% 13.95/2.15 fof(f1369,plain,(
% 13.95/2.15 ![X0,X1]: (empty(X0)|~element(X0,powerset(X1))|~empty(X1))),
% 13.95/2.15 inference(resolution,[status(thm)],[f1367,f633])).
% 13.95/2.15 fof(f1371,plain,(
% 13.95/2.15 ![X0]: (empty(X0)|~in(X0,sk0_5(X0)))),
% 13.95/2.15 inference(resolution,[status(thm)],[f1367,f124])).
% 13.95/2.15 fof(f1372,plain,(
% 13.95/2.15 spl0_120 <=> empty_carrier(sk0_1)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1375,plain,(
% 13.95/2.15 spl0_121 <=> topological_space(sk0_1)),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1378,plain,(
% 13.95/2.15 spl0_122 <=> element(neighborhood_system(sk0_1,sk0_5(the_carrier(sk0_1))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_1)))))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1381,plain,(
% 13.95/2.15 empty_carrier(sk0_1)|~topological_space(sk0_1)|element(neighborhood_system(sk0_1,sk0_5(the_carrier(sk0_1))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_1)))))),
% 13.95/2.15 inference(resolution,[status(thm)],[f1365,f244])).
% 13.95/2.15 fof(f1382,plain,(
% 13.95/2.15 spl0_120|~spl0_121|spl0_122),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1381,f1372,f1375,f1378])).
% 13.95/2.15 fof(f1383,plain,(
% 13.95/2.15 spl0_123 <=> element(neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.15 fof(f1384,plain,(
% 13.95/2.15 element(neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|~spl0_123),
% 13.95/2.15 inference(component_clause,[status(thm)],[f1383])).
% 13.95/2.15 fof(f1386,plain,(
% 13.95/2.15 empty_carrier(sk0_43)|~topological_space(sk0_43)|element(neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.15 inference(resolution,[status(thm)],[f1365,f624])).
% 13.95/2.15 fof(f1387,plain,(
% 13.95/2.15 spl0_5|~spl0_6|spl0_123),
% 13.95/2.15 inference(split_clause,[status(thm)],[f1386,f666,f669,f1383])).
% 13.95/2.15 fof(f1388,plain,(
% 13.95/2.15 spl0_124 <=> neighborhood_system(sk0_1,sk0_5(the_carrier(sk0_1)))=a_2_0_yellow19(sk0_1,sk0_5(the_carrier(sk0_1)))),
% 13.95/2.15 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1391,plain,(
% 13.95/2.16 empty_carrier(sk0_1)|~topological_space(sk0_1)|neighborhood_system(sk0_1,sk0_5(the_carrier(sk0_1)))=a_2_0_yellow19(sk0_1,sk0_5(the_carrier(sk0_1)))),
% 13.95/2.16 inference(resolution,[status(thm)],[f1366,f244])).
% 13.95/2.16 fof(f1392,plain,(
% 13.95/2.16 spl0_120|~spl0_121|spl0_124),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1391,f1372,f1375,f1388])).
% 13.95/2.16 fof(f1393,plain,(
% 13.95/2.16 spl0_125 <=> neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43)))=a_2_0_yellow19(sk0_43,sk0_5(the_carrier(sk0_43)))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1394,plain,(
% 13.95/2.16 neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43)))=a_2_0_yellow19(sk0_43,sk0_5(the_carrier(sk0_43)))|~spl0_125),
% 13.95/2.16 inference(component_clause,[status(thm)],[f1393])).
% 13.95/2.16 fof(f1396,plain,(
% 13.95/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43)))=a_2_0_yellow19(sk0_43,sk0_5(the_carrier(sk0_43)))),
% 13.95/2.16 inference(resolution,[status(thm)],[f1366,f624])).
% 13.95/2.16 fof(f1397,plain,(
% 13.95/2.16 spl0_5|~spl0_6|spl0_125),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1396,f666,f669,f1393])).
% 13.95/2.16 fof(f1399,plain,(
% 13.95/2.16 spl0_126 <=> element(sk0_5(sk0_45),the_carrier(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1400,plain,(
% 13.95/2.16 element(sk0_5(sk0_45),the_carrier(sk0_43))|~spl0_126),
% 13.95/2.16 inference(component_clause,[status(thm)],[f1399])).
% 13.95/2.16 fof(f1402,plain,(
% 13.95/2.16 empty(sk0_45)|element(sk0_5(sk0_45),the_carrier(sk0_43))|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f1368,f736])).
% 13.95/2.16 fof(f1403,plain,(
% 13.95/2.16 spl0_97|spl0_126|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1402,f1139,f1399,f735])).
% 13.95/2.16 fof(f1409,plain,(
% 13.95/2.16 ![X0]: (empty(sk0_5(powerset(X0)))|~empty(X0))),
% 13.95/2.16 inference(resolution,[status(thm)],[f1369,f253])).
% 13.95/2.16 fof(f1410,plain,(
% 13.95/2.16 empty(sk0_45)|~empty(the_carrier(sk0_43))|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f1369,f736])).
% 13.95/2.16 fof(f1411,plain,(
% 13.95/2.16 spl0_97|~spl0_2|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1410,f1139,f650,f735])).
% 13.95/2.16 fof(f1453,plain,(
% 13.95/2.16 spl0_135 <=> in(neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1456,plain,(
% 13.95/2.16 empty(powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|in(neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|~spl0_123),
% 13.95/2.16 inference(resolution,[status(thm)],[f1384,f609])).
% 13.95/2.16 fof(f1457,plain,(
% 13.95/2.16 spl0_10|spl0_135|~spl0_123),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1456,f695,f1453,f1383])).
% 13.95/2.16 fof(f1461,plain,(
% 13.95/2.16 ![X0]: (sk0_22(X0)=empty_set)),
% 13.95/2.16 inference(resolution,[status(thm)],[f635,f485])).
% 13.95/2.16 fof(f1480,plain,(
% 13.95/2.16 empty(sk0_33(sk0_1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f544,f244])).
% 13.95/2.16 fof(f1481,plain,(
% 13.95/2.16 empty(sk0_33(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f544,f624])).
% 13.95/2.16 fof(f1493,plain,(
% 13.95/2.16 ![X0,X1]: (sk0_22(X0)=X1|~empty(X1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f641,f485])).
% 13.95/2.16 fof(f1494,plain,(
% 13.95/2.16 ![X0]: (sk0_14=X0|~empty(X0))),
% 13.95/2.16 inference(resolution,[status(thm)],[f641,f426])).
% 13.95/2.16 fof(f1498,plain,(
% 13.95/2.16 ![X0]: (sk0_22(X0)=sk0_14)),
% 13.95/2.16 inference(resolution,[status(thm)],[f1493,f426])).
% 13.95/2.16 fof(f1586,plain,(
% 13.95/2.16 spl0_136 <=> empty(sk0_36(sk0_1))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1589,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|empty(sk0_36(sk0_1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f564,f244])).
% 13.95/2.16 fof(f1590,plain,(
% 13.95/2.16 ~spl0_121|spl0_136),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1589,f1375,f1586])).
% 13.95/2.16 fof(f1591,plain,(
% 13.95/2.16 spl0_137 <=> empty(sk0_36(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1592,plain,(
% 13.95/2.16 empty(sk0_36(sk0_43))|~spl0_137),
% 13.95/2.16 inference(component_clause,[status(thm)],[f1591])).
% 13.95/2.16 fof(f1594,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|empty(sk0_36(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f564,f624])).
% 13.95/2.16 fof(f1595,plain,(
% 13.95/2.16 ~spl0_6|spl0_137),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1594,f669,f1591])).
% 13.95/2.16 fof(f1596,plain,(
% 13.95/2.16 spl0_138 <=> v1_membered(sk0_36(sk0_1))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1599,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|v1_membered(sk0_36(sk0_1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f567,f244])).
% 13.95/2.16 fof(f1600,plain,(
% 13.95/2.16 ~spl0_121|spl0_138),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1599,f1375,f1596])).
% 13.95/2.16 fof(f1601,plain,(
% 13.95/2.16 spl0_139 <=> v1_membered(sk0_36(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1604,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|v1_membered(sk0_36(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f567,f624])).
% 13.95/2.16 fof(f1605,plain,(
% 13.95/2.16 ~spl0_6|spl0_139),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1604,f669,f1601])).
% 13.95/2.16 fof(f1606,plain,(
% 13.95/2.16 spl0_140 <=> v2_membered(sk0_36(sk0_1))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1609,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|v2_membered(sk0_36(sk0_1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f568,f244])).
% 13.95/2.16 fof(f1610,plain,(
% 13.95/2.16 ~spl0_121|spl0_140),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1609,f1375,f1606])).
% 13.95/2.16 fof(f1611,plain,(
% 13.95/2.16 spl0_141 <=> v2_membered(sk0_36(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1614,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|v2_membered(sk0_36(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f568,f624])).
% 13.95/2.16 fof(f1615,plain,(
% 13.95/2.16 ~spl0_6|spl0_141),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1614,f669,f1611])).
% 13.95/2.16 fof(f1616,plain,(
% 13.95/2.16 spl0_142 <=> v3_membered(sk0_36(sk0_1))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1619,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|v3_membered(sk0_36(sk0_1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f569,f244])).
% 13.95/2.16 fof(f1620,plain,(
% 13.95/2.16 ~spl0_121|spl0_142),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1619,f1375,f1616])).
% 13.95/2.16 fof(f1621,plain,(
% 13.95/2.16 spl0_143 <=> v3_membered(sk0_36(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1624,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|v3_membered(sk0_36(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f569,f624])).
% 13.95/2.16 fof(f1625,plain,(
% 13.95/2.16 ~spl0_6|spl0_143),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1624,f669,f1621])).
% 13.95/2.16 fof(f1626,plain,(
% 13.95/2.16 spl0_144 <=> v4_membered(sk0_36(sk0_1))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1629,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|v4_membered(sk0_36(sk0_1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f570,f244])).
% 13.95/2.16 fof(f1630,plain,(
% 13.95/2.16 ~spl0_121|spl0_144),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1629,f1375,f1626])).
% 13.95/2.16 fof(f1631,plain,(
% 13.95/2.16 spl0_145 <=> v4_membered(sk0_36(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1634,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|v4_membered(sk0_36(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f570,f624])).
% 13.95/2.16 fof(f1635,plain,(
% 13.95/2.16 ~spl0_6|spl0_145),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1634,f669,f1631])).
% 13.95/2.16 fof(f1636,plain,(
% 13.95/2.16 spl0_146 <=> v5_membered(sk0_36(sk0_1))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1639,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|v5_membered(sk0_36(sk0_1))),
% 13.95/2.16 inference(resolution,[status(thm)],[f571,f244])).
% 13.95/2.16 fof(f1640,plain,(
% 13.95/2.16 ~spl0_121|spl0_146),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1639,f1375,f1636])).
% 13.95/2.16 fof(f1641,plain,(
% 13.95/2.16 spl0_147 <=> v5_membered(sk0_36(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1644,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|v5_membered(sk0_36(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f571,f624])).
% 13.95/2.16 fof(f1645,plain,(
% 13.95/2.16 ~spl0_6|spl0_147),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1644,f669,f1641])).
% 13.95/2.16 fof(f1646,plain,(
% 13.95/2.16 spl0_148 <=> open_subset(sk0_16(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1649,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|open_subset(sk0_16(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f435,f244])).
% 13.95/2.16 fof(f1650,plain,(
% 13.95/2.16 ~spl0_121|spl0_148),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1649,f1375,f1646])).
% 13.95/2.16 fof(f1651,plain,(
% 13.95/2.16 spl0_149 <=> open_subset(sk0_16(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1654,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|open_subset(sk0_16(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f435,f624])).
% 13.95/2.16 fof(f1655,plain,(
% 13.95/2.16 ~spl0_6|spl0_149),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1654,f669,f1651])).
% 13.95/2.16 fof(f1656,plain,(
% 13.95/2.16 spl0_150 <=> open_subset(sk0_23(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1659,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|open_subset(sk0_23(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f489,f244])).
% 13.95/2.16 fof(f1660,plain,(
% 13.95/2.16 ~spl0_121|spl0_150),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1659,f1375,f1656])).
% 13.95/2.16 fof(f1661,plain,(
% 13.95/2.16 spl0_151 <=> open_subset(sk0_23(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1664,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|open_subset(sk0_23(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f489,f624])).
% 13.95/2.16 fof(f1665,plain,(
% 13.95/2.16 ~spl0_6|spl0_151),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1664,f669,f1661])).
% 13.95/2.16 fof(f1666,plain,(
% 13.95/2.16 spl0_152 <=> closed_subset(sk0_23(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1669,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|closed_subset(sk0_23(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f490,f244])).
% 13.95/2.16 fof(f1670,plain,(
% 13.95/2.16 ~spl0_121|spl0_152),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1669,f1375,f1666])).
% 13.95/2.16 fof(f1671,plain,(
% 13.95/2.16 spl0_153 <=> closed_subset(sk0_23(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1674,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|closed_subset(sk0_23(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f490,f624])).
% 13.95/2.16 fof(f1675,plain,(
% 13.95/2.16 ~spl0_6|spl0_153),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1674,f669,f1671])).
% 13.95/2.16 fof(f1676,plain,(
% 13.95/2.16 spl0_154 <=> open_subset(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1679,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|open_subset(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f565,f244])).
% 13.95/2.16 fof(f1680,plain,(
% 13.95/2.16 ~spl0_121|spl0_154),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1679,f1375,f1676])).
% 13.95/2.16 fof(f1681,plain,(
% 13.95/2.16 spl0_155 <=> open_subset(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1684,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|open_subset(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f565,f624])).
% 13.95/2.16 fof(f1685,plain,(
% 13.95/2.16 ~spl0_6|spl0_155),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1684,f669,f1681])).
% 13.95/2.16 fof(f1686,plain,(
% 13.95/2.16 spl0_156 <=> closed_subset(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1689,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|closed_subset(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f566,f244])).
% 13.95/2.16 fof(f1690,plain,(
% 13.95/2.16 ~spl0_121|spl0_156),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1689,f1375,f1686])).
% 13.95/2.16 fof(f1691,plain,(
% 13.95/2.16 spl0_157 <=> closed_subset(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1694,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|closed_subset(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f566,f624])).
% 13.95/2.16 fof(f1695,plain,(
% 13.95/2.16 ~spl0_6|spl0_157),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1694,f669,f1691])).
% 13.95/2.16 fof(f1696,plain,(
% 13.95/2.16 spl0_158 <=> boundary_set(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1699,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|boundary_set(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f572,f244])).
% 13.95/2.16 fof(f1700,plain,(
% 13.95/2.16 ~spl0_121|spl0_158),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1699,f1375,f1696])).
% 13.95/2.16 fof(f1701,plain,(
% 13.95/2.16 spl0_159 <=> boundary_set(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1704,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|boundary_set(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f572,f624])).
% 13.95/2.16 fof(f1705,plain,(
% 13.95/2.16 ~spl0_6|spl0_159),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1704,f669,f1701])).
% 13.95/2.16 fof(f1706,plain,(
% 13.95/2.16 spl0_160 <=> nowhere_dense(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1709,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|nowhere_dense(sk0_36(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f573,f244])).
% 13.95/2.16 fof(f1710,plain,(
% 13.95/2.16 ~spl0_121|spl0_160),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1709,f1375,f1706])).
% 13.95/2.16 fof(f1711,plain,(
% 13.95/2.16 spl0_161 <=> nowhere_dense(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1712,plain,(
% 13.95/2.16 nowhere_dense(sk0_36(sk0_43),sk0_43)|~spl0_161),
% 13.95/2.16 inference(component_clause,[status(thm)],[f1711])).
% 13.95/2.16 fof(f1714,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|nowhere_dense(sk0_36(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f573,f624])).
% 13.95/2.16 fof(f1715,plain,(
% 13.95/2.16 ~spl0_6|spl0_161),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1714,f669,f1711])).
% 13.95/2.16 fof(f1716,plain,(
% 13.95/2.16 spl0_162 <=> closed_subset(sk0_37(sk0_1),sk0_1)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1719,plain,(
% 13.95/2.16 ~topological_space(sk0_1)|closed_subset(sk0_37(sk0_1),sk0_1)),
% 13.95/2.16 inference(resolution,[status(thm)],[f577,f244])).
% 13.95/2.16 fof(f1720,plain,(
% 13.95/2.16 ~spl0_121|spl0_162),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1719,f1375,f1716])).
% 13.95/2.16 fof(f1721,plain,(
% 13.95/2.16 spl0_163 <=> closed_subset(sk0_37(sk0_43),sk0_43)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1724,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|closed_subset(sk0_37(sk0_43),sk0_43)),
% 13.95/2.16 inference(resolution,[status(thm)],[f577,f624])).
% 13.95/2.16 fof(f1725,plain,(
% 13.95/2.16 ~spl0_6|spl0_163),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1724,f669,f1721])).
% 13.95/2.16 fof(f1728,plain,(
% 13.95/2.16 spl0_164 <=> empty_carrier(sk0_34)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1729,plain,(
% 13.95/2.16 empty_carrier(sk0_34)|~spl0_164),
% 13.95/2.16 inference(component_clause,[status(thm)],[f1728])).
% 13.95/2.16 fof(f1731,plain,(
% 13.95/2.16 spl0_165 <=> lower_relstr_subset(sk0_40(sk0_34),sk0_34)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1734,plain,(
% 13.95/2.16 empty_carrier(sk0_34)|lower_relstr_subset(sk0_40(sk0_34),sk0_34)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f552])).
% 13.95/2.16 fof(f1735,plain,(
% 13.95/2.16 spl0_164|spl0_165),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1734,f1728,f1731])).
% 13.95/2.16 fof(f1736,plain,(
% 13.95/2.16 spl0_166 <=> lower_relstr_subset(sk0_40(sk0_26),sk0_26)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1739,plain,(
% 13.95/2.16 empty_carrier(sk0_26)|lower_relstr_subset(sk0_40(sk0_26),sk0_26)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f503])).
% 13.95/2.16 fof(f1740,plain,(
% 13.95/2.16 spl0_84|spl0_166),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1739,f1062,f1736])).
% 13.95/2.16 fof(f1741,plain,(
% 13.95/2.16 spl0_167 <=> lower_relstr_subset(sk0_40(sk0_20),sk0_20)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1744,plain,(
% 13.95/2.16 empty_carrier(sk0_20)|lower_relstr_subset(sk0_40(sk0_20),sk0_20)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f471])).
% 13.95/2.16 fof(f1745,plain,(
% 13.95/2.16 spl0_78|spl0_167),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1744,f1034,f1741])).
% 13.95/2.16 fof(f1746,plain,(
% 13.95/2.16 spl0_168 <=> lower_relstr_subset(sk0_40(sk0_19),sk0_19)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1749,plain,(
% 13.95/2.16 empty_carrier(sk0_19)|lower_relstr_subset(sk0_40(sk0_19),sk0_19)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f460])).
% 13.95/2.16 fof(f1750,plain,(
% 13.95/2.16 spl0_54|spl0_168),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1749,f895,f1746])).
% 13.95/2.16 fof(f1751,plain,(
% 13.95/2.16 spl0_169 <=> lower_relstr_subset(sk0_40(sk0_18),sk0_18)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1754,plain,(
% 13.95/2.16 empty_carrier(sk0_18)|lower_relstr_subset(sk0_40(sk0_18),sk0_18)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f442])).
% 13.95/2.16 fof(f1755,plain,(
% 13.95/2.16 spl0_43|spl0_169),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1754,f852,f1751])).
% 13.95/2.16 fof(f1756,plain,(
% 13.95/2.16 spl0_170 <=> lower_relstr_subset(sk0_40(sk0_13),sk0_13)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1759,plain,(
% 13.95/2.16 empty_carrier(sk0_13)|lower_relstr_subset(sk0_40(sk0_13),sk0_13)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f418])).
% 13.95/2.16 fof(f1760,plain,(
% 13.95/2.16 spl0_37|spl0_170),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1759,f822,f1756])).
% 13.95/2.16 fof(f1761,plain,(
% 13.95/2.16 spl0_171 <=> lower_relstr_subset(sk0_40(sk0_11),sk0_11)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1764,plain,(
% 13.95/2.16 empty_carrier(sk0_11)|lower_relstr_subset(sk0_40(sk0_11),sk0_11)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f400])).
% 13.95/2.16 fof(f1765,plain,(
% 13.95/2.16 spl0_25|spl0_171),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1764,f760,f1761])).
% 13.95/2.16 fof(f1766,plain,(
% 13.95/2.16 spl0_172 <=> lower_relstr_subset(sk0_40(sk0_10),sk0_10)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1769,plain,(
% 13.95/2.16 empty_carrier(sk0_10)|lower_relstr_subset(sk0_40(sk0_10),sk0_10)),
% 13.95/2.16 inference(resolution,[status(thm)],[f592,f393])).
% 13.95/2.16 fof(f1770,plain,(
% 13.95/2.16 spl0_70|spl0_172),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1769,f977,f1766])).
% 13.95/2.16 fof(f1779,plain,(
% 13.95/2.16 $false|~spl0_70),
% 13.95/2.16 inference(forward_subsumption_resolution,[status(thm)],[f978,f394])).
% 13.95/2.16 fof(f1780,plain,(
% 13.95/2.16 ~spl0_70),
% 13.95/2.16 inference(contradiction_clause,[status(thm)],[f1779])).
% 13.95/2.16 fof(f1781,plain,(
% 13.95/2.16 $false|~spl0_164),
% 13.95/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1729,f553])).
% 13.95/2.16 fof(f1782,plain,(
% 13.95/2.16 ~spl0_164),
% 13.95/2.16 inference(contradiction_clause,[status(thm)],[f1781])).
% 13.95/2.16 fof(f1783,plain,(
% 13.95/2.16 spl0_175 <=> connected_relstr(sk0_19)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1786,plain,(
% 13.95/2.16 ~rel_str(sk0_19)|empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|connected_relstr(sk0_19)),
% 13.95/2.16 inference(resolution,[status(thm)],[f200,f469])).
% 13.95/2.16 fof(f1787,plain,(
% 13.95/2.16 ~spl0_52|spl0_54|~spl0_55|spl0_175),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1786,f885,f895,f898,f1783])).
% 13.95/2.16 fof(f1788,plain,(
% 13.95/2.16 ~rel_str(sk0_20)|~lower_bounded_relstr(sk0_20)|bounded_relstr(sk0_20)|~spl0_115),
% 13.95/2.16 inference(resolution,[status(thm)],[f202,f1308])).
% 13.95/2.16 fof(f1789,plain,(
% 13.95/2.16 ~spl0_76|~spl0_94|spl0_113|~spl0_115),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1788,f1024,f1116,f1270,f1307])).
% 13.95/2.16 fof(f1790,plain,(
% 13.95/2.16 ~rel_str(sk0_13)|~lower_bounded_relstr(sk0_13)|bounded_relstr(sk0_13)|~spl0_116),
% 13.95/2.16 inference(resolution,[status(thm)],[f202,f1313])).
% 13.95/2.16 fof(f1791,plain,(
% 13.95/2.16 ~spl0_35|~spl0_93|spl0_114|~spl0_116),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1790,f812,f1109,f1277,f1312])).
% 13.95/2.16 fof(f1793,plain,(
% 13.95/2.16 ~rel_str(sk0_19)|~lower_bounded_relstr(sk0_19)|bounded_relstr(sk0_19)|~spl0_60),
% 13.95/2.16 inference(resolution,[status(thm)],[f202,f914])).
% 13.95/2.16 fof(f1794,plain,(
% 13.95/2.16 ~spl0_52|~spl0_58|spl0_63|~spl0_60),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1793,f885,f907,f934,f913])).
% 13.95/2.16 fof(f1797,plain,(
% 13.95/2.16 ~rel_str(sk0_18)|~lower_bounded_relstr(sk0_18)|bounded_relstr(sk0_18)),
% 13.95/2.16 inference(resolution,[status(thm)],[f202,f450])).
% 13.95/2.16 fof(f1798,plain,(
% 13.95/2.16 ~spl0_41|~spl0_47|spl0_64),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1797,f842,f864,f939])).
% 13.95/2.16 fof(f1802,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_45,sk0_43)|~nowhere_dense(sk0_45,sk0_43)|empty(sk0_45)|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f204,f736])).
% 13.95/2.16 fof(f1803,plain,(
% 13.95/2.16 ~spl0_6|~spl0_7|~spl0_98|~spl0_110|spl0_97|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1802,f669,f672,f1142,f1255,f1139,f735])).
% 13.95/2.16 fof(f1816,plain,(
% 13.95/2.16 spl0_176 <=> v1_membered(sk0_45)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1819,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_45,sk0_43)|~nowhere_dense(sk0_45,sk0_43)|v1_membered(sk0_45)|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f207,f736])).
% 13.95/2.16 fof(f1820,plain,(
% 13.95/2.16 ~spl0_6|~spl0_7|~spl0_98|~spl0_110|spl0_176|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1819,f669,f672,f1142,f1255,f1816,f735])).
% 13.95/2.16 fof(f1832,plain,(
% 13.95/2.16 spl0_179 <=> v2_membered(sk0_45)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1835,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_45,sk0_43)|~nowhere_dense(sk0_45,sk0_43)|v2_membered(sk0_45)|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f208,f736])).
% 13.95/2.16 fof(f1836,plain,(
% 13.95/2.16 ~spl0_6|~spl0_7|~spl0_98|~spl0_110|spl0_179|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1835,f669,f672,f1142,f1255,f1832,f735])).
% 13.95/2.16 fof(f1848,plain,(
% 13.95/2.16 spl0_182 <=> v3_membered(sk0_45)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1851,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_45,sk0_43)|~nowhere_dense(sk0_45,sk0_43)|v3_membered(sk0_45)|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f209,f736])).
% 13.95/2.16 fof(f1852,plain,(
% 13.95/2.16 ~spl0_6|~spl0_7|~spl0_98|~spl0_110|spl0_182|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1851,f669,f672,f1142,f1255,f1848,f735])).
% 13.95/2.16 fof(f1864,plain,(
% 13.95/2.16 spl0_185 <=> v4_membered(sk0_45)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1867,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_45,sk0_43)|~nowhere_dense(sk0_45,sk0_43)|v4_membered(sk0_45)|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f210,f736])).
% 13.95/2.16 fof(f1868,plain,(
% 13.95/2.16 ~spl0_6|~spl0_7|~spl0_98|~spl0_110|spl0_185|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1867,f669,f672,f1142,f1255,f1864,f735])).
% 13.95/2.16 fof(f1880,plain,(
% 13.95/2.16 spl0_188 <=> v5_membered(sk0_45)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f1883,plain,(
% 13.95/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_45,sk0_43)|~nowhere_dense(sk0_45,sk0_43)|v5_membered(sk0_45)|~spl0_20),
% 13.95/2.16 inference(resolution,[status(thm)],[f211,f736])).
% 13.95/2.16 fof(f1884,plain,(
% 13.95/2.16 ~spl0_6|~spl0_7|~spl0_98|~spl0_110|spl0_188|~spl0_20),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1883,f669,f672,f1142,f1255,f1880,f735])).
% 13.95/2.16 fof(f1896,plain,(
% 13.95/2.16 ~rel_str(sk0_13)|~reflexive_relstr(sk0_13)|~up_complete_relstr(sk0_13)|upper_bounded_relstr(sk0_13)|~spl0_103),
% 13.95/2.16 inference(resolution,[status(thm)],[f218,f1172])).
% 13.95/2.16 fof(f1897,plain,(
% 13.95/2.16 ~spl0_35|~spl0_38|~spl0_40|spl0_116|~spl0_103),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1896,f812,f825,f833,f1312,f1171])).
% 13.95/2.16 fof(f1900,plain,(
% 13.95/2.16 ~rel_str(sk0_20)|~reflexive_relstr(sk0_20)|~up_complete_relstr(sk0_20)|upper_bounded_relstr(sk0_20)),
% 13.95/2.16 inference(resolution,[status(thm)],[f218,f477])).
% 13.95/2.16 fof(f1901,plain,(
% 13.95/2.16 ~spl0_76|~spl0_79|~spl0_82|spl0_115),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1900,f1024,f1037,f1054,f1307])).
% 13.95/2.16 fof(f1902,plain,(
% 13.95/2.16 ~rel_str(sk0_19)|~reflexive_relstr(sk0_19)|~up_complete_relstr(sk0_19)|upper_bounded_relstr(sk0_19)),
% 13.95/2.16 inference(resolution,[status(thm)],[f218,f466])).
% 13.95/2.16 fof(f1903,plain,(
% 13.95/2.16 ~spl0_52|~spl0_55|~spl0_59|spl0_60),
% 13.95/2.16 inference(split_clause,[status(thm)],[f1902,f885,f898,f910,f913])).
% 13.95/2.16 fof(f1908,plain,(
% 13.95/2.16 ![X0]: (sk0_22(X0)=sk0_33(sk0_43))),
% 13.95/2.16 inference(resolution,[status(thm)],[f1481,f1493])).
% 13.95/2.16 fof(f1909,plain,(
% 13.95/2.16 ![X0]: (sk0_33(sk0_43)=X0|~empty(X0))),
% 13.95/2.16 inference(resolution,[status(thm)],[f1481,f641])).
% 13.95/2.16 fof(f1971,plain,(
% 13.95/2.16 ![X0]: (sk0_22(X0)=sk0_36(sk0_43)|~spl0_137)),
% 13.95/2.16 inference(resolution,[status(thm)],[f1592,f1493])).
% 13.95/2.16 fof(f1972,plain,(
% 13.95/2.16 ![X0]: (sk0_36(sk0_43)=X0|~empty(X0)|~spl0_137)),
% 13.95/2.16 inference(resolution,[status(thm)],[f1592,f641])).
% 13.95/2.16 fof(f1980,plain,(
% 13.95/2.16 sk0_14=sk0_36(sk0_43)|~spl0_137),
% 13.95/2.16 inference(paramodulation,[status(thm)],[f1498,f1971])).
% 13.95/2.16 fof(f2136,plain,(
% 13.95/2.16 nowhere_dense(sk0_14,sk0_43)|~spl0_161|~spl0_137),
% 13.95/2.16 inference(paramodulation,[status(thm)],[f1980,f1712])).
% 13.95/2.16 fof(f2173,plain,(
% 13.95/2.16 spl0_191 <=> element(neighborhood_system(sk0_43,sk0_5(sk0_45)),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2176,plain,(
% 13.95/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|element(neighborhood_system(sk0_43,sk0_5(sk0_45)),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sk0_43)))))|~spl0_126),
% 13.95/2.16 inference(resolution,[status(thm)],[f1400,f225])).
% 13.95/2.16 fof(f2177,plain,(
% 13.95/2.16 spl0_5|~spl0_6|~spl0_7|spl0_191|~spl0_126),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2176,f666,f669,f672,f2173,f1399])).
% 13.95/2.16 fof(f2178,plain,(
% 13.95/2.16 spl0_192 <=> neighborhood_system(sk0_43,sk0_5(sk0_45))=a_2_0_yellow19(sk0_43,sk0_5(sk0_45))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2181,plain,(
% 13.95/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|neighborhood_system(sk0_43,sk0_5(sk0_45))=a_2_0_yellow19(sk0_43,sk0_5(sk0_45))|~spl0_126),
% 13.95/2.16 inference(resolution,[status(thm)],[f1400,f220])).
% 13.95/2.16 fof(f2182,plain,(
% 13.95/2.16 spl0_5|~spl0_6|~spl0_7|spl0_192|~spl0_126),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2181,f666,f669,f672,f2178,f1399])).
% 13.95/2.16 fof(f2183,plain,(
% 13.95/2.16 spl0_193 <=> in(sk0_5(sk0_45),the_carrier(sk0_43))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2186,plain,(
% 13.95/2.16 empty(the_carrier(sk0_43))|in(sk0_5(sk0_45),the_carrier(sk0_43))|~spl0_126),
% 13.95/2.16 inference(resolution,[status(thm)],[f1400,f609])).
% 13.95/2.16 fof(f2187,plain,(
% 13.95/2.16 spl0_2|spl0_193|~spl0_126),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2186,f650,f2183,f1399])).
% 13.95/2.16 fof(f2192,plain,(
% 13.95/2.16 empty(sk0_5(powerset(sk0_14)))),
% 13.95/2.16 inference(resolution,[status(thm)],[f1409,f426])).
% 13.95/2.16 fof(f2193,plain,(
% 13.95/2.16 empty(sk0_5(powerset(empty_set)))),
% 13.95/2.16 inference(resolution,[status(thm)],[f1409,f256])).
% 13.95/2.16 fof(f2203,plain,(
% 13.95/2.16 spl0_194 <=> upper_relstr_subset(sk0_40(sk0_34),sk0_34)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2206,plain,(
% 13.95/2.16 empty_carrier(sk0_34)|upper_relstr_subset(sk0_40(sk0_34),sk0_34)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f552])).
% 13.95/2.16 fof(f2207,plain,(
% 13.95/2.16 spl0_164|spl0_194),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2206,f1728,f2203])).
% 13.95/2.16 fof(f2208,plain,(
% 13.95/2.16 spl0_195 <=> upper_relstr_subset(sk0_40(sk0_26),sk0_26)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2211,plain,(
% 13.95/2.16 empty_carrier(sk0_26)|upper_relstr_subset(sk0_40(sk0_26),sk0_26)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f503])).
% 13.95/2.16 fof(f2212,plain,(
% 13.95/2.16 spl0_84|spl0_195),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2211,f1062,f2208])).
% 13.95/2.16 fof(f2213,plain,(
% 13.95/2.16 spl0_196 <=> upper_relstr_subset(sk0_40(sk0_20),sk0_20)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2216,plain,(
% 13.95/2.16 empty_carrier(sk0_20)|upper_relstr_subset(sk0_40(sk0_20),sk0_20)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f471])).
% 13.95/2.16 fof(f2217,plain,(
% 13.95/2.16 spl0_78|spl0_196),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2216,f1034,f2213])).
% 13.95/2.16 fof(f2218,plain,(
% 13.95/2.16 spl0_197 <=> upper_relstr_subset(sk0_40(sk0_19),sk0_19)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2221,plain,(
% 13.95/2.16 empty_carrier(sk0_19)|upper_relstr_subset(sk0_40(sk0_19),sk0_19)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f460])).
% 13.95/2.16 fof(f2222,plain,(
% 13.95/2.16 spl0_54|spl0_197),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2221,f895,f2218])).
% 13.95/2.16 fof(f2223,plain,(
% 13.95/2.16 spl0_198 <=> upper_relstr_subset(sk0_40(sk0_18),sk0_18)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2226,plain,(
% 13.95/2.16 empty_carrier(sk0_18)|upper_relstr_subset(sk0_40(sk0_18),sk0_18)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f442])).
% 13.95/2.16 fof(f2227,plain,(
% 13.95/2.16 spl0_43|spl0_198),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2226,f852,f2223])).
% 13.95/2.16 fof(f2228,plain,(
% 13.95/2.16 spl0_199 <=> upper_relstr_subset(sk0_40(sk0_13),sk0_13)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2231,plain,(
% 13.95/2.16 empty_carrier(sk0_13)|upper_relstr_subset(sk0_40(sk0_13),sk0_13)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f418])).
% 13.95/2.16 fof(f2232,plain,(
% 13.95/2.16 spl0_37|spl0_199),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2231,f822,f2228])).
% 13.95/2.16 fof(f2233,plain,(
% 13.95/2.16 spl0_200 <=> upper_relstr_subset(sk0_40(sk0_11),sk0_11)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2236,plain,(
% 13.95/2.16 empty_carrier(sk0_11)|upper_relstr_subset(sk0_40(sk0_11),sk0_11)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f400])).
% 13.95/2.16 fof(f2237,plain,(
% 13.95/2.16 spl0_25|spl0_200),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2236,f760,f2233])).
% 13.95/2.16 fof(f2238,plain,(
% 13.95/2.16 spl0_201 <=> upper_relstr_subset(sk0_40(sk0_10),sk0_10)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2241,plain,(
% 13.95/2.16 empty_carrier(sk0_10)|upper_relstr_subset(sk0_40(sk0_10),sk0_10)),
% 13.95/2.16 inference(resolution,[status(thm)],[f593,f393])).
% 13.95/2.16 fof(f2242,plain,(
% 13.95/2.16 spl0_70|spl0_201),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2241,f977,f2238])).
% 13.95/2.16 fof(f2249,plain,(
% 13.95/2.16 element(cast_as_carrier_subset(sk0_43),powerset(the_carrier(sk0_43)))),
% 13.95/2.16 inference(resolution,[status(thm)],[f227,f1356])).
% 13.95/2.16 fof(f2273,plain,(
% 13.95/2.16 element(sk0_33(sk0_43),powerset(the_carrier(sk0_43)))),
% 13.95/2.16 inference(resolution,[status(thm)],[f543,f624])).
% 13.95/2.16 fof(f2286,plain,(
% 13.95/2.16 spl0_203 <=> finite(sk0_24(sk0_26))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2289,plain,(
% 13.95/2.16 empty_carrier(sk0_26)|~rel_str(sk0_26)|finite(sk0_24(sk0_26))),
% 13.95/2.16 inference(resolution,[status(thm)],[f495,f505])).
% 13.95/2.16 fof(f2290,plain,(
% 13.95/2.16 spl0_84|~spl0_83|spl0_203),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2289,f1062,f1059,f2286])).
% 13.95/2.16 fof(f2291,plain,(
% 13.95/2.16 spl0_204 <=> finite(sk0_24(sk0_20))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2294,plain,(
% 13.95/2.16 empty_carrier(sk0_20)|~rel_str(sk0_20)|finite(sk0_24(sk0_20))),
% 13.95/2.16 inference(resolution,[status(thm)],[f495,f474])).
% 13.95/2.16 fof(f2295,plain,(
% 13.95/2.16 spl0_78|~spl0_76|spl0_204),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2294,f1034,f1024,f2291])).
% 13.95/2.16 fof(f2296,plain,(
% 13.95/2.16 spl0_205 <=> finite(sk0_24(sk0_19))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2299,plain,(
% 13.95/2.16 empty_carrier(sk0_19)|~rel_str(sk0_19)|finite(sk0_24(sk0_19))),
% 13.95/2.16 inference(resolution,[status(thm)],[f495,f463])).
% 13.95/2.16 fof(f2300,plain,(
% 13.95/2.16 spl0_54|~spl0_52|spl0_205),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2299,f895,f885,f2296])).
% 13.95/2.16 fof(f2301,plain,(
% 13.95/2.16 spl0_206 <=> finite(sk0_24(sk0_18))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2304,plain,(
% 13.95/2.16 empty_carrier(sk0_18)|~rel_str(sk0_18)|finite(sk0_24(sk0_18))),
% 13.95/2.16 inference(resolution,[status(thm)],[f495,f446])).
% 13.95/2.16 fof(f2305,plain,(
% 13.95/2.16 spl0_43|~spl0_41|spl0_206),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2304,f852,f842,f2301])).
% 13.95/2.16 fof(f2306,plain,(
% 13.95/2.16 spl0_207 <=> finite(sk0_24(sk0_13))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2309,plain,(
% 13.95/2.16 empty_carrier(sk0_13)|~rel_str(sk0_13)|finite(sk0_24(sk0_13))),
% 13.95/2.16 inference(resolution,[status(thm)],[f495,f421])).
% 13.95/2.16 fof(f2310,plain,(
% 13.95/2.16 spl0_37|~spl0_35|spl0_207),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2309,f822,f812,f2306])).
% 13.95/2.16 fof(f2311,plain,(
% 13.95/2.16 spl0_208 <=> finite(sk0_24(sk0_11))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2314,plain,(
% 13.95/2.16 empty_carrier(sk0_11)|~rel_str(sk0_11)|finite(sk0_24(sk0_11))),
% 13.95/2.16 inference(resolution,[status(thm)],[f495,f403])).
% 13.95/2.16 fof(f2315,plain,(
% 13.95/2.16 spl0_25|~spl0_23|spl0_208),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2314,f760,f750,f2311])).
% 13.95/2.16 fof(f2316,plain,(
% 13.95/2.16 spl0_209 <=> finite(sk0_24(sk0_10))),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2319,plain,(
% 13.95/2.16 empty_carrier(sk0_10)|~rel_str(sk0_10)|finite(sk0_24(sk0_10))),
% 13.95/2.16 inference(resolution,[status(thm)],[f495,f395])).
% 13.95/2.16 fof(f2320,plain,(
% 13.95/2.16 spl0_70|~spl0_69|spl0_209),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2319,f977,f974,f2316])).
% 13.95/2.16 fof(f2323,plain,(
% 13.95/2.16 spl0_210 <=> directed_subset(sk0_24(sk0_26),sk0_26)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2326,plain,(
% 13.95/2.16 empty_carrier(sk0_26)|~rel_str(sk0_26)|directed_subset(sk0_24(sk0_26),sk0_26)),
% 13.95/2.16 inference(resolution,[status(thm)],[f496,f505])).
% 13.95/2.16 fof(f2327,plain,(
% 13.95/2.16 spl0_84|~spl0_83|spl0_210),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2326,f1062,f1059,f2323])).
% 13.95/2.16 fof(f2328,plain,(
% 13.95/2.16 spl0_211 <=> directed_subset(sk0_24(sk0_20),sk0_20)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2331,plain,(
% 13.95/2.16 empty_carrier(sk0_20)|~rel_str(sk0_20)|directed_subset(sk0_24(sk0_20),sk0_20)),
% 13.95/2.16 inference(resolution,[status(thm)],[f496,f474])).
% 13.95/2.16 fof(f2332,plain,(
% 13.95/2.16 spl0_78|~spl0_76|spl0_211),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2331,f1034,f1024,f2328])).
% 13.95/2.16 fof(f2333,plain,(
% 13.95/2.16 spl0_212 <=> directed_subset(sk0_24(sk0_19),sk0_19)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2336,plain,(
% 13.95/2.16 empty_carrier(sk0_19)|~rel_str(sk0_19)|directed_subset(sk0_24(sk0_19),sk0_19)),
% 13.95/2.16 inference(resolution,[status(thm)],[f496,f463])).
% 13.95/2.16 fof(f2337,plain,(
% 13.95/2.16 spl0_54|~spl0_52|spl0_212),
% 13.95/2.16 inference(split_clause,[status(thm)],[f2336,f895,f885,f2333])).
% 13.95/2.16 fof(f2338,plain,(
% 13.95/2.16 spl0_213 <=> directed_subset(sk0_24(sk0_18),sk0_18)),
% 13.95/2.16 introduced(split_symbol_definition)).
% 13.95/2.16 fof(f2341,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|~rel_str(sk0_18)|directed_subset(sk0_24(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f496,f446])).
% 14.25/2.16 fof(f2342,plain,(
% 14.25/2.16 spl0_43|~spl0_41|spl0_213),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2341,f852,f842,f2338])).
% 14.25/2.16 fof(f2343,plain,(
% 14.25/2.16 spl0_214 <=> directed_subset(sk0_24(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2346,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|~rel_str(sk0_13)|directed_subset(sk0_24(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f496,f421])).
% 14.25/2.16 fof(f2347,plain,(
% 14.25/2.16 spl0_37|~spl0_35|spl0_214),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2346,f822,f812,f2343])).
% 14.25/2.16 fof(f2348,plain,(
% 14.25/2.16 spl0_215 <=> directed_subset(sk0_24(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2351,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|~rel_str(sk0_11)|directed_subset(sk0_24(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f496,f403])).
% 14.25/2.16 fof(f2352,plain,(
% 14.25/2.16 spl0_25|~spl0_23|spl0_215),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2351,f760,f750,f2348])).
% 14.25/2.16 fof(f2353,plain,(
% 14.25/2.16 spl0_216 <=> directed_subset(sk0_24(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2356,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|~rel_str(sk0_10)|directed_subset(sk0_24(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f496,f395])).
% 14.25/2.16 fof(f2357,plain,(
% 14.25/2.16 spl0_70|~spl0_69|spl0_216),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2356,f977,f974,f2353])).
% 14.25/2.16 fof(f2360,plain,(
% 14.25/2.16 spl0_217 <=> filtered_subset(sk0_24(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2363,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|~rel_str(sk0_26)|filtered_subset(sk0_24(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f497,f505])).
% 14.25/2.16 fof(f2364,plain,(
% 14.25/2.16 spl0_84|~spl0_83|spl0_217),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2363,f1062,f1059,f2360])).
% 14.25/2.16 fof(f2365,plain,(
% 14.25/2.16 spl0_218 <=> filtered_subset(sk0_24(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2368,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|~rel_str(sk0_20)|filtered_subset(sk0_24(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f497,f474])).
% 14.25/2.16 fof(f2369,plain,(
% 14.25/2.16 spl0_78|~spl0_76|spl0_218),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2368,f1034,f1024,f2365])).
% 14.25/2.16 fof(f2370,plain,(
% 14.25/2.16 spl0_219 <=> filtered_subset(sk0_24(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2373,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|~rel_str(sk0_19)|filtered_subset(sk0_24(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f497,f463])).
% 14.25/2.16 fof(f2374,plain,(
% 14.25/2.16 spl0_54|~spl0_52|spl0_219),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2373,f895,f885,f2370])).
% 14.25/2.16 fof(f2375,plain,(
% 14.25/2.16 spl0_220 <=> filtered_subset(sk0_24(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2378,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|~rel_str(sk0_18)|filtered_subset(sk0_24(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f497,f446])).
% 14.25/2.16 fof(f2379,plain,(
% 14.25/2.16 spl0_43|~spl0_41|spl0_220),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2378,f852,f842,f2375])).
% 14.25/2.16 fof(f2380,plain,(
% 14.25/2.16 spl0_221 <=> filtered_subset(sk0_24(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2383,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|~rel_str(sk0_13)|filtered_subset(sk0_24(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f497,f421])).
% 14.25/2.16 fof(f2384,plain,(
% 14.25/2.16 spl0_37|~spl0_35|spl0_221),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2383,f822,f812,f2380])).
% 14.25/2.16 fof(f2385,plain,(
% 14.25/2.16 spl0_222 <=> filtered_subset(sk0_24(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2388,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|~rel_str(sk0_11)|filtered_subset(sk0_24(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f497,f403])).
% 14.25/2.16 fof(f2389,plain,(
% 14.25/2.16 spl0_25|~spl0_23|spl0_222),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2388,f760,f750,f2385])).
% 14.25/2.16 fof(f2390,plain,(
% 14.25/2.16 spl0_223 <=> filtered_subset(sk0_24(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2393,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|~rel_str(sk0_10)|filtered_subset(sk0_24(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f497,f395])).
% 14.25/2.16 fof(f2394,plain,(
% 14.25/2.16 spl0_70|~spl0_69|spl0_223),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2393,f977,f974,f2390])).
% 14.25/2.16 fof(f2395,plain,(
% 14.25/2.16 spl0_224 <=> open_subset(sk0_30(sk0_1),sk0_1)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2398,plain,(
% 14.25/2.16 empty_carrier(sk0_1)|~topological_space(sk0_1)|open_subset(sk0_30(sk0_1),sk0_1)),
% 14.25/2.16 inference(resolution,[status(thm)],[f529,f244])).
% 14.25/2.16 fof(f2399,plain,(
% 14.25/2.16 spl0_120|~spl0_121|spl0_224),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2398,f1372,f1375,f2395])).
% 14.25/2.16 fof(f2400,plain,(
% 14.25/2.16 spl0_225 <=> open_subset(sk0_30(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2403,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|open_subset(sk0_30(sk0_43),sk0_43)),
% 14.25/2.16 inference(resolution,[status(thm)],[f529,f624])).
% 14.25/2.16 fof(f2404,plain,(
% 14.25/2.16 spl0_5|~spl0_6|spl0_225),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2403,f666,f669,f2400])).
% 14.25/2.16 fof(f2405,plain,(
% 14.25/2.16 spl0_226 <=> closed_subset(sk0_30(sk0_1),sk0_1)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2408,plain,(
% 14.25/2.16 empty_carrier(sk0_1)|~topological_space(sk0_1)|closed_subset(sk0_30(sk0_1),sk0_1)),
% 14.25/2.16 inference(resolution,[status(thm)],[f530,f244])).
% 14.25/2.16 fof(f2409,plain,(
% 14.25/2.16 spl0_120|~spl0_121|spl0_226),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2408,f1372,f1375,f2405])).
% 14.25/2.16 fof(f2410,plain,(
% 14.25/2.16 spl0_227 <=> closed_subset(sk0_30(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2413,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|closed_subset(sk0_30(sk0_43),sk0_43)),
% 14.25/2.16 inference(resolution,[status(thm)],[f530,f624])).
% 14.25/2.16 fof(f2414,plain,(
% 14.25/2.16 spl0_5|~spl0_6|spl0_227),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2413,f666,f669,f2410])).
% 14.25/2.16 fof(f2415,plain,(
% 14.25/2.16 spl0_228 <=> closed_subset(sk0_38(sk0_1),sk0_1)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2418,plain,(
% 14.25/2.16 empty_carrier(sk0_1)|~topological_space(sk0_1)|closed_subset(sk0_38(sk0_1),sk0_1)),
% 14.25/2.16 inference(resolution,[status(thm)],[f582,f244])).
% 14.25/2.16 fof(f2419,plain,(
% 14.25/2.16 spl0_120|~spl0_121|spl0_228),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2418,f1372,f1375,f2415])).
% 14.25/2.16 fof(f2420,plain,(
% 14.25/2.16 spl0_229 <=> closed_subset(sk0_38(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2423,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|closed_subset(sk0_38(sk0_43),sk0_43)),
% 14.25/2.16 inference(resolution,[status(thm)],[f582,f624])).
% 14.25/2.16 fof(f2424,plain,(
% 14.25/2.16 spl0_5|~spl0_6|spl0_229),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2423,f666,f669,f2420])).
% 14.25/2.16 fof(f2425,plain,(
% 14.25/2.16 spl0_230 <=> element(sk0_16(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2428,plain,(
% 14.25/2.16 ~topological_space(sk0_1)|element(sk0_16(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f434,f244])).
% 14.25/2.16 fof(f2429,plain,(
% 14.25/2.16 ~spl0_121|spl0_230),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2428,f1375,f2425])).
% 14.25/2.16 fof(f2430,plain,(
% 14.25/2.16 spl0_231 <=> element(sk0_16(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2431,plain,(
% 14.25/2.16 element(sk0_16(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_231),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2430])).
% 14.25/2.16 fof(f2433,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|element(sk0_16(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f434,f624])).
% 14.25/2.16 fof(f2434,plain,(
% 14.25/2.16 ~spl0_6|spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2433,f669,f2430])).
% 14.25/2.16 fof(f2435,plain,(
% 14.25/2.16 spl0_232 <=> element(sk0_23(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2438,plain,(
% 14.25/2.16 ~topological_space(sk0_1)|element(sk0_23(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f488,f244])).
% 14.25/2.16 fof(f2439,plain,(
% 14.25/2.16 ~spl0_121|spl0_232),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2438,f1375,f2435])).
% 14.25/2.16 fof(f2440,plain,(
% 14.25/2.16 spl0_233 <=> element(sk0_23(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2441,plain,(
% 14.25/2.16 element(sk0_23(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_233),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2440])).
% 14.25/2.16 fof(f2443,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|element(sk0_23(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f488,f624])).
% 14.25/2.16 fof(f2444,plain,(
% 14.25/2.16 ~spl0_6|spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2443,f669,f2440])).
% 14.25/2.16 fof(f2445,plain,(
% 14.25/2.16 spl0_234 <=> element(sk0_35(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2448,plain,(
% 14.25/2.16 empty_carrier(sk0_1)|element(sk0_35(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1355])).
% 14.25/2.16 fof(f2449,plain,(
% 14.25/2.16 spl0_120|spl0_234),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2448,f1372,f2445])).
% 14.25/2.16 fof(f2450,plain,(
% 14.25/2.16 spl0_235 <=> element(sk0_35(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2451,plain,(
% 14.25/2.16 element(sk0_35(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_235),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2450])).
% 14.25/2.16 fof(f2453,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|element(sk0_35(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1356])).
% 14.25/2.16 fof(f2454,plain,(
% 14.25/2.16 spl0_5|spl0_235),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2453,f666,f2450])).
% 14.25/2.16 fof(f2462,plain,(
% 14.25/2.16 spl0_237 <=> element(sk0_35(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2465,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|element(sk0_35(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1353])).
% 14.25/2.16 fof(f2466,plain,(
% 14.25/2.16 spl0_70|spl0_237),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2465,f977,f2462])).
% 14.25/2.16 fof(f2467,plain,(
% 14.25/2.16 spl0_238 <=> element(sk0_35(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2470,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|element(sk0_35(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1352])).
% 14.25/2.16 fof(f2471,plain,(
% 14.25/2.16 spl0_25|spl0_238),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2470,f760,f2467])).
% 14.25/2.16 fof(f2472,plain,(
% 14.25/2.16 spl0_239 <=> element(sk0_35(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2475,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|element(sk0_35(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1351])).
% 14.25/2.16 fof(f2476,plain,(
% 14.25/2.16 spl0_37|spl0_239),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2475,f822,f2472])).
% 14.25/2.16 fof(f2477,plain,(
% 14.25/2.16 spl0_240 <=> element(sk0_35(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2480,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|element(sk0_35(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1350])).
% 14.25/2.16 fof(f2481,plain,(
% 14.25/2.16 spl0_43|spl0_240),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2480,f852,f2477])).
% 14.25/2.16 fof(f2482,plain,(
% 14.25/2.16 spl0_241 <=> element(sk0_35(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2485,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|element(sk0_35(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1349])).
% 14.25/2.16 fof(f2486,plain,(
% 14.25/2.16 spl0_54|spl0_241),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2485,f895,f2482])).
% 14.25/2.16 fof(f2487,plain,(
% 14.25/2.16 spl0_242 <=> element(sk0_35(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2490,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|element(sk0_35(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1348])).
% 14.25/2.16 fof(f2491,plain,(
% 14.25/2.16 spl0_78|spl0_242),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2490,f1034,f2487])).
% 14.25/2.16 fof(f2492,plain,(
% 14.25/2.16 spl0_243 <=> element(sk0_35(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2495,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|element(sk0_35(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1347])).
% 14.25/2.16 fof(f2496,plain,(
% 14.25/2.16 spl0_84|spl0_243),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2495,f1062,f2492])).
% 14.25/2.16 fof(f2497,plain,(
% 14.25/2.16 spl0_244 <=> element(sk0_35(sk0_34),powerset(the_carrier(sk0_34)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2500,plain,(
% 14.25/2.16 empty_carrier(sk0_34)|element(sk0_35(sk0_34),powerset(the_carrier(sk0_34)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f1346])).
% 14.25/2.16 fof(f2501,plain,(
% 14.25/2.16 spl0_164|spl0_244),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2500,f1728,f2497])).
% 14.25/2.16 fof(f2502,plain,(
% 14.25/2.16 spl0_245 <=> empty_carrier(sk0_29)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2503,plain,(
% 14.25/2.16 empty_carrier(sk0_29)|~spl0_245),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2502])).
% 14.25/2.16 fof(f2505,plain,(
% 14.25/2.16 spl0_246 <=> element(sk0_35(sk0_29),powerset(the_carrier(sk0_29)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2508,plain,(
% 14.25/2.16 empty_carrier(sk0_29)|element(sk0_35(sk0_29),powerset(the_carrier(sk0_29)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f559,f523])).
% 14.25/2.16 fof(f2509,plain,(
% 14.25/2.16 spl0_245|spl0_246),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2508,f2502,f2505])).
% 14.25/2.16 fof(f2518,plain,(
% 14.25/2.16 $false|~spl0_245),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2503,f524])).
% 14.25/2.16 fof(f2519,plain,(
% 14.25/2.16 ~spl0_245),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f2518])).
% 14.25/2.16 fof(f2520,plain,(
% 14.25/2.16 spl0_249 <=> element(sk0_36(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2523,plain,(
% 14.25/2.16 ~topological_space(sk0_1)|element(sk0_36(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f563,f244])).
% 14.25/2.16 fof(f2524,plain,(
% 14.25/2.16 ~spl0_121|spl0_249),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2523,f1375,f2520])).
% 14.25/2.16 fof(f2525,plain,(
% 14.25/2.16 spl0_250 <=> element(sk0_36(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2526,plain,(
% 14.25/2.16 element(sk0_36(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_250),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2525])).
% 14.25/2.16 fof(f2528,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|element(sk0_36(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f563,f624])).
% 14.25/2.16 fof(f2529,plain,(
% 14.25/2.16 ~spl0_6|spl0_250),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2528,f669,f2525])).
% 14.25/2.16 fof(f2530,plain,(
% 14.25/2.16 spl0_251 <=> element(sk0_37(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2533,plain,(
% 14.25/2.16 ~topological_space(sk0_1)|element(sk0_37(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f576,f244])).
% 14.25/2.16 fof(f2534,plain,(
% 14.25/2.16 ~spl0_121|spl0_251),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2533,f1375,f2530])).
% 14.25/2.16 fof(f2535,plain,(
% 14.25/2.16 spl0_252 <=> element(sk0_37(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2536,plain,(
% 14.25/2.16 element(sk0_37(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_252),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2535])).
% 14.25/2.16 fof(f2538,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|element(sk0_37(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f576,f624])).
% 14.25/2.16 fof(f2539,plain,(
% 14.25/2.16 ~spl0_6|spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2538,f669,f2535])).
% 14.25/2.16 fof(f2550,plain,(
% 14.25/2.16 spl0_255 <=> filtered_subset(sk0_8(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2553,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|~rel_str(sk0_26)|filtered_subset(sk0_8(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f382,f506])).
% 14.25/2.16 fof(f2554,plain,(
% 14.25/2.16 spl0_84|~spl0_85|~spl0_83|spl0_255),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2553,f1062,f1065,f1059,f2550])).
% 14.25/2.16 fof(f2555,plain,(
% 14.25/2.16 spl0_256 <=> filtered_subset(sk0_8(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2558,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|~rel_str(sk0_20)|filtered_subset(sk0_8(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f382,f475])).
% 14.25/2.16 fof(f2559,plain,(
% 14.25/2.16 spl0_78|~spl0_79|~spl0_76|spl0_256),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2558,f1034,f1037,f1024,f2555])).
% 14.25/2.16 fof(f2560,plain,(
% 14.25/2.16 spl0_257 <=> filtered_subset(sk0_8(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2563,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|~rel_str(sk0_19)|filtered_subset(sk0_8(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f382,f464])).
% 14.25/2.16 fof(f2564,plain,(
% 14.25/2.16 spl0_54|~spl0_55|~spl0_52|spl0_257),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2563,f895,f898,f885,f2560])).
% 14.25/2.16 fof(f2565,plain,(
% 14.25/2.16 spl0_258 <=> filtered_subset(sk0_8(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2568,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|~reflexive_relstr(sk0_18)|~rel_str(sk0_18)|filtered_subset(sk0_8(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f382,f447])).
% 14.25/2.16 fof(f2569,plain,(
% 14.25/2.16 spl0_43|~spl0_44|~spl0_41|spl0_258),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2568,f852,f855,f842,f2565])).
% 14.25/2.16 fof(f2570,plain,(
% 14.25/2.16 spl0_259 <=> filtered_subset(sk0_8(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2573,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|~rel_str(sk0_13)|filtered_subset(sk0_8(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f382,f422])).
% 14.25/2.16 fof(f2574,plain,(
% 14.25/2.16 spl0_37|~spl0_38|~spl0_35|spl0_259),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2573,f822,f825,f812,f2570])).
% 14.25/2.16 fof(f2575,plain,(
% 14.25/2.16 spl0_260 <=> filtered_subset(sk0_8(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2578,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~rel_str(sk0_11)|filtered_subset(sk0_8(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f382,f404])).
% 14.25/2.16 fof(f2579,plain,(
% 14.25/2.16 spl0_25|~spl0_26|~spl0_23|spl0_260),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2578,f760,f763,f750,f2575])).
% 14.25/2.16 fof(f2580,plain,(
% 14.25/2.16 spl0_261 <=> filtered_subset(sk0_8(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2583,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|~reflexive_relstr(sk0_10)|~rel_str(sk0_10)|filtered_subset(sk0_8(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f382,f396])).
% 14.25/2.16 fof(f2584,plain,(
% 14.25/2.16 spl0_70|~spl0_71|~spl0_69|spl0_261),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2583,f977,f980,f974,f2580])).
% 14.25/2.16 fof(f2592,plain,(
% 14.25/2.16 spl0_263 <=> upper_relstr_subset(sk0_8(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2595,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|~rel_str(sk0_26)|upper_relstr_subset(sk0_8(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f383,f506])).
% 14.25/2.16 fof(f2596,plain,(
% 14.25/2.16 spl0_84|~spl0_85|~spl0_83|spl0_263),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2595,f1062,f1065,f1059,f2592])).
% 14.25/2.16 fof(f2597,plain,(
% 14.25/2.16 spl0_264 <=> upper_relstr_subset(sk0_8(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2600,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|~rel_str(sk0_20)|upper_relstr_subset(sk0_8(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f383,f475])).
% 14.25/2.16 fof(f2601,plain,(
% 14.25/2.16 spl0_78|~spl0_79|~spl0_76|spl0_264),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2600,f1034,f1037,f1024,f2597])).
% 14.25/2.16 fof(f2602,plain,(
% 14.25/2.16 spl0_265 <=> upper_relstr_subset(sk0_8(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2605,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|~rel_str(sk0_19)|upper_relstr_subset(sk0_8(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f383,f464])).
% 14.25/2.16 fof(f2606,plain,(
% 14.25/2.16 spl0_54|~spl0_55|~spl0_52|spl0_265),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2605,f895,f898,f885,f2602])).
% 14.25/2.16 fof(f2607,plain,(
% 14.25/2.16 spl0_266 <=> upper_relstr_subset(sk0_8(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2610,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|~reflexive_relstr(sk0_18)|~rel_str(sk0_18)|upper_relstr_subset(sk0_8(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f383,f447])).
% 14.25/2.16 fof(f2611,plain,(
% 14.25/2.16 spl0_43|~spl0_44|~spl0_41|spl0_266),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2610,f852,f855,f842,f2607])).
% 14.25/2.16 fof(f2612,plain,(
% 14.25/2.16 spl0_267 <=> upper_relstr_subset(sk0_8(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2615,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|~rel_str(sk0_13)|upper_relstr_subset(sk0_8(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f383,f422])).
% 14.25/2.16 fof(f2616,plain,(
% 14.25/2.16 spl0_37|~spl0_38|~spl0_35|spl0_267),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2615,f822,f825,f812,f2612])).
% 14.25/2.16 fof(f2617,plain,(
% 14.25/2.16 spl0_268 <=> upper_relstr_subset(sk0_8(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2620,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~rel_str(sk0_11)|upper_relstr_subset(sk0_8(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f383,f404])).
% 14.25/2.16 fof(f2621,plain,(
% 14.25/2.16 spl0_25|~spl0_26|~spl0_23|spl0_268),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2620,f760,f763,f750,f2617])).
% 14.25/2.16 fof(f2622,plain,(
% 14.25/2.16 spl0_269 <=> upper_relstr_subset(sk0_8(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2625,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|~reflexive_relstr(sk0_10)|~rel_str(sk0_10)|upper_relstr_subset(sk0_8(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f383,f396])).
% 14.25/2.16 fof(f2626,plain,(
% 14.25/2.16 spl0_70|~spl0_71|~spl0_69|spl0_269),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2625,f977,f980,f974,f2622])).
% 14.25/2.16 fof(f2634,plain,(
% 14.25/2.16 spl0_271 <=> directed_subset(sk0_41(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2637,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|~rel_str(sk0_26)|directed_subset(sk0_41(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f598,f506])).
% 14.25/2.16 fof(f2638,plain,(
% 14.25/2.16 spl0_84|~spl0_85|~spl0_83|spl0_271),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2637,f1062,f1065,f1059,f2634])).
% 14.25/2.16 fof(f2639,plain,(
% 14.25/2.16 spl0_272 <=> directed_subset(sk0_41(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2642,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|~rel_str(sk0_20)|directed_subset(sk0_41(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f598,f475])).
% 14.25/2.16 fof(f2643,plain,(
% 14.25/2.16 spl0_78|~spl0_79|~spl0_76|spl0_272),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2642,f1034,f1037,f1024,f2639])).
% 14.25/2.16 fof(f2644,plain,(
% 14.25/2.16 spl0_273 <=> directed_subset(sk0_41(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2647,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|~rel_str(sk0_19)|directed_subset(sk0_41(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f598,f464])).
% 14.25/2.16 fof(f2648,plain,(
% 14.25/2.16 spl0_54|~spl0_55|~spl0_52|spl0_273),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2647,f895,f898,f885,f2644])).
% 14.25/2.16 fof(f2649,plain,(
% 14.25/2.16 spl0_274 <=> directed_subset(sk0_41(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2652,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|~reflexive_relstr(sk0_18)|~rel_str(sk0_18)|directed_subset(sk0_41(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f598,f447])).
% 14.25/2.16 fof(f2653,plain,(
% 14.25/2.16 spl0_43|~spl0_44|~spl0_41|spl0_274),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2652,f852,f855,f842,f2649])).
% 14.25/2.16 fof(f2654,plain,(
% 14.25/2.16 spl0_275 <=> directed_subset(sk0_41(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2657,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|~rel_str(sk0_13)|directed_subset(sk0_41(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f598,f422])).
% 14.25/2.16 fof(f2658,plain,(
% 14.25/2.16 spl0_37|~spl0_38|~spl0_35|spl0_275),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2657,f822,f825,f812,f2654])).
% 14.25/2.16 fof(f2659,plain,(
% 14.25/2.16 spl0_276 <=> directed_subset(sk0_41(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2662,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~rel_str(sk0_11)|directed_subset(sk0_41(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f598,f404])).
% 14.25/2.16 fof(f2663,plain,(
% 14.25/2.16 spl0_25|~spl0_26|~spl0_23|spl0_276),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2662,f760,f763,f750,f2659])).
% 14.25/2.16 fof(f2664,plain,(
% 14.25/2.16 spl0_277 <=> directed_subset(sk0_41(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2667,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|~reflexive_relstr(sk0_10)|~rel_str(sk0_10)|directed_subset(sk0_41(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f598,f396])).
% 14.25/2.16 fof(f2668,plain,(
% 14.25/2.16 spl0_70|~spl0_71|~spl0_69|spl0_277),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2667,f977,f980,f974,f2664])).
% 14.25/2.16 fof(f2676,plain,(
% 14.25/2.16 spl0_279 <=> lower_relstr_subset(sk0_41(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2679,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|~rel_str(sk0_26)|lower_relstr_subset(sk0_41(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f599,f506])).
% 14.25/2.16 fof(f2680,plain,(
% 14.25/2.16 spl0_84|~spl0_85|~spl0_83|spl0_279),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2679,f1062,f1065,f1059,f2676])).
% 14.25/2.16 fof(f2681,plain,(
% 14.25/2.16 spl0_280 <=> lower_relstr_subset(sk0_41(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2684,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|~rel_str(sk0_20)|lower_relstr_subset(sk0_41(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f599,f475])).
% 14.25/2.16 fof(f2685,plain,(
% 14.25/2.16 spl0_78|~spl0_79|~spl0_76|spl0_280),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2684,f1034,f1037,f1024,f2681])).
% 14.25/2.16 fof(f2686,plain,(
% 14.25/2.16 spl0_281 <=> lower_relstr_subset(sk0_41(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2689,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|~rel_str(sk0_19)|lower_relstr_subset(sk0_41(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f599,f464])).
% 14.25/2.16 fof(f2690,plain,(
% 14.25/2.16 spl0_54|~spl0_55|~spl0_52|spl0_281),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2689,f895,f898,f885,f2686])).
% 14.25/2.16 fof(f2691,plain,(
% 14.25/2.16 spl0_282 <=> lower_relstr_subset(sk0_41(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2694,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|~reflexive_relstr(sk0_18)|~rel_str(sk0_18)|lower_relstr_subset(sk0_41(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f599,f447])).
% 14.25/2.16 fof(f2695,plain,(
% 14.25/2.16 spl0_43|~spl0_44|~spl0_41|spl0_282),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2694,f852,f855,f842,f2691])).
% 14.25/2.16 fof(f2696,plain,(
% 14.25/2.16 spl0_283 <=> lower_relstr_subset(sk0_41(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2699,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|~rel_str(sk0_13)|lower_relstr_subset(sk0_41(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f599,f422])).
% 14.25/2.16 fof(f2700,plain,(
% 14.25/2.16 spl0_37|~spl0_38|~spl0_35|spl0_283),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2699,f822,f825,f812,f2696])).
% 14.25/2.16 fof(f2701,plain,(
% 14.25/2.16 spl0_284 <=> lower_relstr_subset(sk0_41(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2704,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~rel_str(sk0_11)|lower_relstr_subset(sk0_41(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f599,f404])).
% 14.25/2.16 fof(f2705,plain,(
% 14.25/2.16 spl0_25|~spl0_26|~spl0_23|spl0_284),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2704,f760,f763,f750,f2701])).
% 14.25/2.16 fof(f2706,plain,(
% 14.25/2.16 spl0_285 <=> lower_relstr_subset(sk0_41(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2709,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|~reflexive_relstr(sk0_10)|~rel_str(sk0_10)|lower_relstr_subset(sk0_41(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f599,f396])).
% 14.25/2.16 fof(f2710,plain,(
% 14.25/2.16 spl0_70|~spl0_71|~spl0_69|spl0_285),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2709,f977,f980,f974,f2706])).
% 14.25/2.16 fof(f2711,plain,(
% 14.25/2.16 spl0_286 <=> element(sk0_30(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2714,plain,(
% 14.25/2.16 empty_carrier(sk0_1)|~topological_space(sk0_1)|element(sk0_30(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f527,f244])).
% 14.25/2.16 fof(f2715,plain,(
% 14.25/2.16 spl0_120|~spl0_121|spl0_286),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2714,f1372,f1375,f2711])).
% 14.25/2.16 fof(f2716,plain,(
% 14.25/2.16 spl0_287 <=> element(sk0_30(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2717,plain,(
% 14.25/2.16 element(sk0_30(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_287),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2716])).
% 14.25/2.16 fof(f2719,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|element(sk0_30(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f527,f624])).
% 14.25/2.16 fof(f2720,plain,(
% 14.25/2.16 spl0_5|~spl0_6|spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2719,f666,f669,f2716])).
% 14.25/2.16 fof(f2721,plain,(
% 14.25/2.16 spl0_288 <=> element(sk0_38(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2724,plain,(
% 14.25/2.16 empty_carrier(sk0_1)|~topological_space(sk0_1)|element(sk0_38(sk0_1),powerset(the_carrier(sk0_1)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f580,f244])).
% 14.25/2.16 fof(f2725,plain,(
% 14.25/2.16 spl0_120|~spl0_121|spl0_288),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2724,f1372,f1375,f2721])).
% 14.25/2.16 fof(f2726,plain,(
% 14.25/2.16 spl0_289 <=> element(sk0_38(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2727,plain,(
% 14.25/2.16 element(sk0_38(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_289),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2726])).
% 14.25/2.16 fof(f2729,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|element(sk0_38(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f580,f624])).
% 14.25/2.16 fof(f2730,plain,(
% 14.25/2.16 spl0_5|~spl0_6|spl0_289),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2729,f666,f669,f2726])).
% 14.25/2.16 fof(f2733,plain,(
% 14.25/2.16 spl0_290 <=> transitive_relstr(sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2735,plain,(
% 14.25/2.16 ~transitive_relstr(sk0_13)|spl0_290),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2733])).
% 14.25/2.16 fof(f2736,plain,(
% 14.25/2.16 spl0_291 <=> directed_subset(sk0_9(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2739,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_13)|~transitive_relstr(sk0_13)|~antisymmetric_relstr(sk0_13)|~with_suprema_relstr(sk0_13)|~rel_str(sk0_13)|directed_subset(sk0_9(sk0_13),sk0_13)|~spl0_68),
% 14.25/2.16 inference(resolution,[status(thm)],[f388,f968])).
% 14.25/2.16 fof(f2740,plain,(
% 14.25/2.16 ~spl0_38|~spl0_290|~spl0_118|~spl0_103|~spl0_35|spl0_291|~spl0_68),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2739,f825,f2733,f1333,f1171,f812,f2736,f967])).
% 14.25/2.16 fof(f2741,plain,(
% 14.25/2.16 spl0_292 <=> transitive_relstr(sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2743,plain,(
% 14.25/2.16 ~transitive_relstr(sk0_26)|spl0_292),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2741])).
% 14.25/2.16 fof(f2744,plain,(
% 14.25/2.16 spl0_293 <=> directed_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2747,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_26)|~transitive_relstr(sk0_26)|~antisymmetric_relstr(sk0_26)|~with_suprema_relstr(sk0_26)|~rel_str(sk0_26)|directed_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f388,f509])).
% 14.25/2.16 fof(f2748,plain,(
% 14.25/2.16 ~spl0_85|~spl0_292|~spl0_89|~spl0_90|~spl0_83|spl0_293),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2747,f1065,f2741,f1089,f1092,f1059,f2744])).
% 14.25/2.16 fof(f2749,plain,(
% 14.25/2.16 spl0_294 <=> transitive_relstr(sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2751,plain,(
% 14.25/2.16 ~transitive_relstr(sk0_20)|spl0_294),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2749])).
% 14.25/2.16 fof(f2752,plain,(
% 14.25/2.16 spl0_295 <=> directed_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2755,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_20)|~transitive_relstr(sk0_20)|~antisymmetric_relstr(sk0_20)|~with_suprema_relstr(sk0_20)|~rel_str(sk0_20)|directed_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f388,f478])).
% 14.25/2.16 fof(f2756,plain,(
% 14.25/2.16 ~spl0_79|~spl0_294|~spl0_119|~spl0_102|~spl0_76|spl0_295),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2755,f1037,f2749,f1338,f1164,f1024,f2752])).
% 14.25/2.16 fof(f2757,plain,(
% 14.25/2.16 spl0_296 <=> directed_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2760,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_19)|~transitive_relstr(sk0_19)|~antisymmetric_relstr(sk0_19)|~with_suprema_relstr(sk0_19)|~rel_str(sk0_19)|directed_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f388,f467])).
% 14.25/2.16 fof(f2761,plain,(
% 14.25/2.16 ~spl0_55|~spl0_56|~spl0_57|~spl0_96|~spl0_52|spl0_296),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2760,f898,f901,f904,f1126,f885,f2757])).
% 14.25/2.16 fof(f2762,plain,(
% 14.25/2.16 spl0_297 <=> directed_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2765,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~antisymmetric_relstr(sk0_18)|~with_suprema_relstr(sk0_18)|~rel_str(sk0_18)|directed_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f388,f458])).
% 14.25/2.16 fof(f2766,plain,(
% 14.25/2.16 ~spl0_44|~spl0_45|~spl0_46|~spl0_74|~spl0_41|spl0_297),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2765,f855,f858,f861,f995,f842,f2762])).
% 14.25/2.16 fof(f2767,plain,(
% 14.25/2.16 spl0_298 <=> directed_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2770,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_11)|~transitive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~with_suprema_relstr(sk0_11)|~rel_str(sk0_11)|directed_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f388,f407])).
% 14.25/2.16 fof(f2771,plain,(
% 14.25/2.16 ~spl0_26|~spl0_29|~spl0_30|~spl0_75|~spl0_23|spl0_298),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2770,f763,f780,f783,f1000,f750,f2767])).
% 14.25/2.16 fof(f2772,plain,(
% 14.25/2.16 $false|spl0_292),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2743,f506])).
% 14.25/2.16 fof(f2773,plain,(
% 14.25/2.16 spl0_292),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f2772])).
% 14.25/2.16 fof(f2774,plain,(
% 14.25/2.16 $false|spl0_119),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1340,f476])).
% 14.25/2.16 fof(f2775,plain,(
% 14.25/2.16 spl0_119),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f2774])).
% 14.25/2.16 fof(f2776,plain,(
% 14.25/2.16 $false|spl0_294),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2751,f475])).
% 14.25/2.16 fof(f2777,plain,(
% 14.25/2.16 spl0_294),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f2776])).
% 14.25/2.16 fof(f2778,plain,(
% 14.25/2.16 $false|spl0_118),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1335,f423])).
% 14.25/2.16 fof(f2779,plain,(
% 14.25/2.16 spl0_118),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f2778])).
% 14.25/2.16 fof(f2780,plain,(
% 14.25/2.16 $false|spl0_290),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2735,f422])).
% 14.25/2.16 fof(f2781,plain,(
% 14.25/2.16 spl0_290),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f2780])).
% 14.25/2.16 fof(f2784,plain,(
% 14.25/2.16 spl0_299 <=> filtered_subset(sk0_9(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2787,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_13)|~transitive_relstr(sk0_13)|~antisymmetric_relstr(sk0_13)|~with_suprema_relstr(sk0_13)|~rel_str(sk0_13)|filtered_subset(sk0_9(sk0_13),sk0_13)|~spl0_68),
% 14.25/2.16 inference(resolution,[status(thm)],[f389,f968])).
% 14.25/2.16 fof(f2788,plain,(
% 14.25/2.16 ~spl0_38|~spl0_290|~spl0_118|~spl0_103|~spl0_35|spl0_299|~spl0_68),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2787,f825,f2733,f1333,f1171,f812,f2784,f967])).
% 14.25/2.16 fof(f2789,plain,(
% 14.25/2.16 spl0_300 <=> filtered_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2792,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_26)|~transitive_relstr(sk0_26)|~antisymmetric_relstr(sk0_26)|~with_suprema_relstr(sk0_26)|~rel_str(sk0_26)|filtered_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f389,f509])).
% 14.25/2.16 fof(f2793,plain,(
% 14.25/2.16 ~spl0_85|~spl0_292|~spl0_89|~spl0_90|~spl0_83|spl0_300),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2792,f1065,f2741,f1089,f1092,f1059,f2789])).
% 14.25/2.16 fof(f2794,plain,(
% 14.25/2.16 spl0_301 <=> filtered_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2797,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_20)|~transitive_relstr(sk0_20)|~antisymmetric_relstr(sk0_20)|~with_suprema_relstr(sk0_20)|~rel_str(sk0_20)|filtered_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f389,f478])).
% 14.25/2.16 fof(f2798,plain,(
% 14.25/2.16 ~spl0_79|~spl0_294|~spl0_119|~spl0_102|~spl0_76|spl0_301),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2797,f1037,f2749,f1338,f1164,f1024,f2794])).
% 14.25/2.16 fof(f2799,plain,(
% 14.25/2.16 spl0_302 <=> filtered_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2802,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_19)|~transitive_relstr(sk0_19)|~antisymmetric_relstr(sk0_19)|~with_suprema_relstr(sk0_19)|~rel_str(sk0_19)|filtered_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f389,f467])).
% 14.25/2.16 fof(f2803,plain,(
% 14.25/2.16 ~spl0_55|~spl0_56|~spl0_57|~spl0_96|~spl0_52|spl0_302),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2802,f898,f901,f904,f1126,f885,f2799])).
% 14.25/2.16 fof(f2804,plain,(
% 14.25/2.16 spl0_303 <=> filtered_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2807,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~antisymmetric_relstr(sk0_18)|~with_suprema_relstr(sk0_18)|~rel_str(sk0_18)|filtered_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f389,f458])).
% 14.25/2.16 fof(f2808,plain,(
% 14.25/2.16 ~spl0_44|~spl0_45|~spl0_46|~spl0_74|~spl0_41|spl0_303),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2807,f855,f858,f861,f995,f842,f2804])).
% 14.25/2.16 fof(f2809,plain,(
% 14.25/2.16 spl0_304 <=> filtered_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2812,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_11)|~transitive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~with_suprema_relstr(sk0_11)|~rel_str(sk0_11)|filtered_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f389,f407])).
% 14.25/2.16 fof(f2813,plain,(
% 14.25/2.16 ~spl0_26|~spl0_29|~spl0_30|~spl0_75|~spl0_23|spl0_304),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2812,f763,f780,f783,f1000,f750,f2809])).
% 14.25/2.16 fof(f2814,plain,(
% 14.25/2.16 $false|spl0_74),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f997,f457])).
% 14.25/2.16 fof(f2815,plain,(
% 14.25/2.16 spl0_74),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f2814])).
% 14.25/2.16 fof(f2818,plain,(
% 14.25/2.16 spl0_305 <=> lower_relstr_subset(sk0_9(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2821,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_13)|~transitive_relstr(sk0_13)|~antisymmetric_relstr(sk0_13)|~with_suprema_relstr(sk0_13)|~rel_str(sk0_13)|lower_relstr_subset(sk0_9(sk0_13),sk0_13)|~spl0_68),
% 14.25/2.16 inference(resolution,[status(thm)],[f390,f968])).
% 14.25/2.16 fof(f2822,plain,(
% 14.25/2.16 ~spl0_38|~spl0_290|~spl0_118|~spl0_103|~spl0_35|spl0_305|~spl0_68),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2821,f825,f2733,f1333,f1171,f812,f2818,f967])).
% 14.25/2.16 fof(f2823,plain,(
% 14.25/2.16 spl0_306 <=> lower_relstr_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2826,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_26)|~transitive_relstr(sk0_26)|~antisymmetric_relstr(sk0_26)|~with_suprema_relstr(sk0_26)|~rel_str(sk0_26)|lower_relstr_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f390,f509])).
% 14.25/2.16 fof(f2827,plain,(
% 14.25/2.16 ~spl0_85|~spl0_292|~spl0_89|~spl0_90|~spl0_83|spl0_306),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2826,f1065,f2741,f1089,f1092,f1059,f2823])).
% 14.25/2.16 fof(f2828,plain,(
% 14.25/2.16 spl0_307 <=> lower_relstr_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2831,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_20)|~transitive_relstr(sk0_20)|~antisymmetric_relstr(sk0_20)|~with_suprema_relstr(sk0_20)|~rel_str(sk0_20)|lower_relstr_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f390,f478])).
% 14.25/2.16 fof(f2832,plain,(
% 14.25/2.16 ~spl0_79|~spl0_294|~spl0_119|~spl0_102|~spl0_76|spl0_307),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2831,f1037,f2749,f1338,f1164,f1024,f2828])).
% 14.25/2.16 fof(f2833,plain,(
% 14.25/2.16 spl0_308 <=> lower_relstr_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2836,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_19)|~transitive_relstr(sk0_19)|~antisymmetric_relstr(sk0_19)|~with_suprema_relstr(sk0_19)|~rel_str(sk0_19)|lower_relstr_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f390,f467])).
% 14.25/2.16 fof(f2837,plain,(
% 14.25/2.16 ~spl0_55|~spl0_56|~spl0_57|~spl0_96|~spl0_52|spl0_308),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2836,f898,f901,f904,f1126,f885,f2833])).
% 14.25/2.16 fof(f2838,plain,(
% 14.25/2.16 spl0_309 <=> lower_relstr_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2841,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~antisymmetric_relstr(sk0_18)|~with_suprema_relstr(sk0_18)|~rel_str(sk0_18)|lower_relstr_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f390,f458])).
% 14.25/2.16 fof(f2842,plain,(
% 14.25/2.16 ~spl0_44|~spl0_45|~spl0_46|~spl0_74|~spl0_41|spl0_309),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2841,f855,f858,f861,f995,f842,f2838])).
% 14.25/2.16 fof(f2843,plain,(
% 14.25/2.16 spl0_310 <=> lower_relstr_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2846,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_11)|~transitive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~with_suprema_relstr(sk0_11)|~rel_str(sk0_11)|lower_relstr_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f390,f407])).
% 14.25/2.16 fof(f2847,plain,(
% 14.25/2.16 ~spl0_26|~spl0_29|~spl0_30|~spl0_75|~spl0_23|spl0_310),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2846,f763,f780,f783,f1000,f750,f2843])).
% 14.25/2.16 fof(f2850,plain,(
% 14.25/2.16 spl0_311 <=> upper_relstr_subset(sk0_9(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2853,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_13)|~transitive_relstr(sk0_13)|~antisymmetric_relstr(sk0_13)|~with_suprema_relstr(sk0_13)|~rel_str(sk0_13)|upper_relstr_subset(sk0_9(sk0_13),sk0_13)|~spl0_68),
% 14.25/2.16 inference(resolution,[status(thm)],[f391,f968])).
% 14.25/2.16 fof(f2854,plain,(
% 14.25/2.16 ~spl0_38|~spl0_290|~spl0_118|~spl0_103|~spl0_35|spl0_311|~spl0_68),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2853,f825,f2733,f1333,f1171,f812,f2850,f967])).
% 14.25/2.16 fof(f2855,plain,(
% 14.25/2.16 spl0_312 <=> upper_relstr_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2858,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_26)|~transitive_relstr(sk0_26)|~antisymmetric_relstr(sk0_26)|~with_suprema_relstr(sk0_26)|~rel_str(sk0_26)|upper_relstr_subset(sk0_9(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f391,f509])).
% 14.25/2.16 fof(f2859,plain,(
% 14.25/2.16 ~spl0_85|~spl0_292|~spl0_89|~spl0_90|~spl0_83|spl0_312),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2858,f1065,f2741,f1089,f1092,f1059,f2855])).
% 14.25/2.16 fof(f2860,plain,(
% 14.25/2.16 spl0_313 <=> upper_relstr_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2863,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_20)|~transitive_relstr(sk0_20)|~antisymmetric_relstr(sk0_20)|~with_suprema_relstr(sk0_20)|~rel_str(sk0_20)|upper_relstr_subset(sk0_9(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f391,f478])).
% 14.25/2.16 fof(f2864,plain,(
% 14.25/2.16 ~spl0_79|~spl0_294|~spl0_119|~spl0_102|~spl0_76|spl0_313),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2863,f1037,f2749,f1338,f1164,f1024,f2860])).
% 14.25/2.16 fof(f2865,plain,(
% 14.25/2.16 spl0_314 <=> upper_relstr_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2868,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_19)|~transitive_relstr(sk0_19)|~antisymmetric_relstr(sk0_19)|~with_suprema_relstr(sk0_19)|~rel_str(sk0_19)|upper_relstr_subset(sk0_9(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f391,f467])).
% 14.25/2.16 fof(f2869,plain,(
% 14.25/2.16 ~spl0_55|~spl0_56|~spl0_57|~spl0_96|~spl0_52|spl0_314),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2868,f898,f901,f904,f1126,f885,f2865])).
% 14.25/2.16 fof(f2870,plain,(
% 14.25/2.16 spl0_315 <=> upper_relstr_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2873,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~antisymmetric_relstr(sk0_18)|~with_suprema_relstr(sk0_18)|~rel_str(sk0_18)|upper_relstr_subset(sk0_9(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f391,f458])).
% 14.25/2.16 fof(f2874,plain,(
% 14.25/2.16 ~spl0_44|~spl0_45|~spl0_46|~spl0_74|~spl0_41|spl0_315),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2873,f855,f858,f861,f995,f842,f2870])).
% 14.25/2.16 fof(f2875,plain,(
% 14.25/2.16 spl0_316 <=> upper_relstr_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2878,plain,(
% 14.25/2.16 ~reflexive_relstr(sk0_11)|~transitive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~with_suprema_relstr(sk0_11)|~rel_str(sk0_11)|upper_relstr_subset(sk0_9(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f391,f407])).
% 14.25/2.16 fof(f2879,plain,(
% 14.25/2.16 ~spl0_26|~spl0_29|~spl0_30|~spl0_75|~spl0_23|spl0_316),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2878,f763,f780,f783,f1000,f750,f2875])).
% 14.25/2.16 fof(f2890,plain,(
% 14.25/2.16 spl0_317 <=> point_neighbourhood(sk0_3(sk0_5(sk0_45),sk0_43),sk0_43,sk0_5(sk0_45))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2891,plain,(
% 14.25/2.16 point_neighbourhood(sk0_3(sk0_5(sk0_45),sk0_43),sk0_43,sk0_5(sk0_45))|~spl0_317),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2890])).
% 14.25/2.16 fof(f2893,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|point_neighbourhood(sk0_3(sk0_5(sk0_45),sk0_43),sk0_43,sk0_5(sk0_45))|~spl0_126),
% 14.25/2.16 inference(resolution,[status(thm)],[f249,f1400])).
% 14.25/2.16 fof(f2894,plain,(
% 14.25/2.16 spl0_5|~spl0_6|~spl0_7|spl0_317|~spl0_126),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2893,f666,f669,f672,f2890,f1399])).
% 14.25/2.16 fof(f2897,plain,(
% 14.25/2.16 spl0_318 <=> point_neighbourhood(sk0_3(sk0_44,sk0_43),sk0_43,sk0_44)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2898,plain,(
% 14.25/2.16 point_neighbourhood(sk0_3(sk0_44,sk0_43),sk0_43,sk0_44)|~spl0_318),
% 14.25/2.16 inference(component_clause,[status(thm)],[f2897])).
% 14.25/2.16 fof(f2900,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|point_neighbourhood(sk0_3(sk0_44,sk0_43),sk0_43,sk0_44)),
% 14.25/2.16 inference(resolution,[status(thm)],[f249,f625])).
% 14.25/2.16 fof(f2901,plain,(
% 14.25/2.16 spl0_5|~spl0_6|~spl0_7|spl0_318),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2900,f666,f669,f672,f2897])).
% 14.25/2.16 fof(f2935,plain,(
% 14.25/2.16 spl0_319 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_34),sk0_34)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2938,plain,(
% 14.25/2.16 empty_carrier(sk0_34)|lower_relstr_subset(cast_as_carrier_subset(sk0_34),sk0_34)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f552])).
% 14.25/2.16 fof(f2939,plain,(
% 14.25/2.16 spl0_164|spl0_319),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2938,f1728,f2935])).
% 14.25/2.16 fof(f2940,plain,(
% 14.25/2.16 spl0_320 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2943,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|lower_relstr_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f503])).
% 14.25/2.16 fof(f2944,plain,(
% 14.25/2.16 spl0_84|spl0_320),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2943,f1062,f2940])).
% 14.25/2.16 fof(f2945,plain,(
% 14.25/2.16 spl0_321 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2948,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|lower_relstr_subset(cast_as_carrier_subset(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f471])).
% 14.25/2.16 fof(f2949,plain,(
% 14.25/2.16 spl0_78|spl0_321),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2948,f1034,f2945])).
% 14.25/2.16 fof(f2950,plain,(
% 14.25/2.16 spl0_322 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2953,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|lower_relstr_subset(cast_as_carrier_subset(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f460])).
% 14.25/2.16 fof(f2954,plain,(
% 14.25/2.16 spl0_54|spl0_322),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2953,f895,f2950])).
% 14.25/2.16 fof(f2955,plain,(
% 14.25/2.16 spl0_323 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2958,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|lower_relstr_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f442])).
% 14.25/2.16 fof(f2959,plain,(
% 14.25/2.16 spl0_43|spl0_323),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2958,f852,f2955])).
% 14.25/2.16 fof(f2960,plain,(
% 14.25/2.16 spl0_324 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2963,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|lower_relstr_subset(cast_as_carrier_subset(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f418])).
% 14.25/2.16 fof(f2964,plain,(
% 14.25/2.16 spl0_37|spl0_324),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2963,f822,f2960])).
% 14.25/2.16 fof(f2965,plain,(
% 14.25/2.16 spl0_325 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2968,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|lower_relstr_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f400])).
% 14.25/2.16 fof(f2969,plain,(
% 14.25/2.16 spl0_25|spl0_325),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2968,f760,f2965])).
% 14.25/2.16 fof(f2970,plain,(
% 14.25/2.16 spl0_326 <=> lower_relstr_subset(cast_as_carrier_subset(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2973,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|lower_relstr_subset(cast_as_carrier_subset(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f263,f393])).
% 14.25/2.16 fof(f2974,plain,(
% 14.25/2.16 spl0_70|spl0_326),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2973,f977,f2970])).
% 14.25/2.16 fof(f2982,plain,(
% 14.25/2.16 spl0_328 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_34),sk0_34)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2985,plain,(
% 14.25/2.16 empty_carrier(sk0_34)|upper_relstr_subset(cast_as_carrier_subset(sk0_34),sk0_34)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f552])).
% 14.25/2.16 fof(f2986,plain,(
% 14.25/2.16 spl0_164|spl0_328),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2985,f1728,f2982])).
% 14.25/2.16 fof(f2987,plain,(
% 14.25/2.16 spl0_329 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2990,plain,(
% 14.25/2.16 empty_carrier(sk0_26)|upper_relstr_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f503])).
% 14.25/2.16 fof(f2991,plain,(
% 14.25/2.16 spl0_84|spl0_329),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2990,f1062,f2987])).
% 14.25/2.16 fof(f2992,plain,(
% 14.25/2.16 spl0_330 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_20),sk0_20)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f2995,plain,(
% 14.25/2.16 empty_carrier(sk0_20)|upper_relstr_subset(cast_as_carrier_subset(sk0_20),sk0_20)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f471])).
% 14.25/2.16 fof(f2996,plain,(
% 14.25/2.16 spl0_78|spl0_330),
% 14.25/2.16 inference(split_clause,[status(thm)],[f2995,f1034,f2992])).
% 14.25/2.16 fof(f2997,plain,(
% 14.25/2.16 spl0_331 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_19),sk0_19)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3000,plain,(
% 14.25/2.16 empty_carrier(sk0_19)|upper_relstr_subset(cast_as_carrier_subset(sk0_19),sk0_19)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f460])).
% 14.25/2.16 fof(f3001,plain,(
% 14.25/2.16 spl0_54|spl0_331),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3000,f895,f2997])).
% 14.25/2.16 fof(f3002,plain,(
% 14.25/2.16 spl0_332 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3005,plain,(
% 14.25/2.16 empty_carrier(sk0_18)|upper_relstr_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f442])).
% 14.25/2.16 fof(f3006,plain,(
% 14.25/2.16 spl0_43|spl0_332),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3005,f852,f3002])).
% 14.25/2.16 fof(f3007,plain,(
% 14.25/2.16 spl0_333 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_13),sk0_13)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3010,plain,(
% 14.25/2.16 empty_carrier(sk0_13)|upper_relstr_subset(cast_as_carrier_subset(sk0_13),sk0_13)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f418])).
% 14.25/2.16 fof(f3011,plain,(
% 14.25/2.16 spl0_37|spl0_333),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3010,f822,f3007])).
% 14.25/2.16 fof(f3012,plain,(
% 14.25/2.16 spl0_334 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3015,plain,(
% 14.25/2.16 empty_carrier(sk0_11)|upper_relstr_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f400])).
% 14.25/2.16 fof(f3016,plain,(
% 14.25/2.16 spl0_25|spl0_334),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3015,f760,f3012])).
% 14.25/2.16 fof(f3017,plain,(
% 14.25/2.16 spl0_335 <=> upper_relstr_subset(cast_as_carrier_subset(sk0_10),sk0_10)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3020,plain,(
% 14.25/2.16 empty_carrier(sk0_10)|upper_relstr_subset(cast_as_carrier_subset(sk0_10),sk0_10)),
% 14.25/2.16 inference(resolution,[status(thm)],[f264,f393])).
% 14.25/2.16 fof(f3021,plain,(
% 14.25/2.16 spl0_70|spl0_335),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3020,f977,f3017])).
% 14.25/2.16 fof(f3027,plain,(
% 14.25/2.16 spl0_337 <=> element(sk0_3(sk0_44,sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3028,plain,(
% 14.25/2.16 element(sk0_3(sk0_44,sk0_43),powerset(the_carrier(sk0_43)))|~spl0_337),
% 14.25/2.16 inference(component_clause,[status(thm)],[f3027])).
% 14.25/2.16 fof(f3030,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_44,the_carrier(sk0_43))|element(sk0_3(sk0_44,sk0_43),powerset(the_carrier(sk0_43)))|~spl0_318),
% 14.25/2.16 inference(resolution,[status(thm)],[f2898,f236])).
% 14.25/2.16 fof(f3031,plain,(
% 14.25/2.16 spl0_5|~spl0_6|~spl0_7|~spl0_19|spl0_337|~spl0_318),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3030,f666,f669,f672,f732,f3027,f2897])).
% 14.25/2.16 fof(f3032,plain,(
% 14.25/2.16 spl0_338 <=> element(sk0_3(sk0_5(sk0_45),sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3035,plain,(
% 14.25/2.16 empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_5(sk0_45),the_carrier(sk0_43))|element(sk0_3(sk0_5(sk0_45),sk0_43),powerset(the_carrier(sk0_43)))|~spl0_317),
% 14.25/2.16 inference(resolution,[status(thm)],[f2891,f236])).
% 14.25/2.16 fof(f3036,plain,(
% 14.25/2.16 spl0_5|~spl0_6|~spl0_7|~spl0_126|spl0_338|~spl0_317),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3035,f666,f669,f672,f1399,f3032,f2890])).
% 14.25/2.16 fof(f3037,plain,(
% 14.25/2.16 spl0_339 <=> open_subset(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3040,plain,(
% 14.25/2.16 spl0_340 <=> nowhere_dense(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3043,plain,(
% 14.25/2.16 spl0_341 <=> v5_membered(sk0_33(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3046,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_33(sk0_43),sk0_43)|~nowhere_dense(sk0_33(sk0_43),sk0_43)|v5_membered(sk0_33(sk0_43))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f211])).
% 14.25/2.16 fof(f3047,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_339|~spl0_340|spl0_341),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3046,f669,f672,f3037,f3040,f3043])).
% 14.25/2.16 fof(f3048,plain,(
% 14.25/2.16 spl0_342 <=> v4_membered(sk0_33(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3051,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_33(sk0_43),sk0_43)|~nowhere_dense(sk0_33(sk0_43),sk0_43)|v4_membered(sk0_33(sk0_43))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f210])).
% 14.25/2.16 fof(f3052,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_339|~spl0_340|spl0_342),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3051,f669,f672,f3037,f3040,f3048])).
% 14.25/2.16 fof(f3053,plain,(
% 14.25/2.16 spl0_343 <=> v3_membered(sk0_33(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3056,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_33(sk0_43),sk0_43)|~nowhere_dense(sk0_33(sk0_43),sk0_43)|v3_membered(sk0_33(sk0_43))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f209])).
% 14.25/2.16 fof(f3057,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_339|~spl0_340|spl0_343),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3056,f669,f672,f3037,f3040,f3053])).
% 14.25/2.16 fof(f3058,plain,(
% 14.25/2.16 spl0_344 <=> v2_membered(sk0_33(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3061,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_33(sk0_43),sk0_43)|~nowhere_dense(sk0_33(sk0_43),sk0_43)|v2_membered(sk0_33(sk0_43))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f208])).
% 14.25/2.16 fof(f3062,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_339|~spl0_340|spl0_344),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3061,f669,f672,f3037,f3040,f3058])).
% 14.25/2.16 fof(f3063,plain,(
% 14.25/2.16 spl0_345 <=> v1_membered(sk0_33(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3066,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_33(sk0_43),sk0_43)|~nowhere_dense(sk0_33(sk0_43),sk0_43)|v1_membered(sk0_33(sk0_43))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f207])).
% 14.25/2.16 fof(f3067,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_339|~spl0_340|spl0_345),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3066,f669,f672,f3037,f3040,f3063])).
% 14.25/2.16 fof(f3068,plain,(
% 14.25/2.16 spl0_346 <=> closed_subset(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3073,plain,(
% 14.25/2.16 spl0_347 <=> empty(sk0_33(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3075,plain,(
% 14.25/2.16 ~empty(sk0_33(sk0_43))|spl0_347),
% 14.25/2.16 inference(component_clause,[status(thm)],[f3073])).
% 14.25/2.16 fof(f3078,plain,(
% 14.25/2.16 spl0_348 <=> boundary_set(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3083,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_33(sk0_43),sk0_43)|boundary_set(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f190])).
% 14.25/2.16 fof(f3084,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_340|spl0_348),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3083,f669,f672,f3040,f3078])).
% 14.25/2.16 fof(f3085,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_33(sk0_43))|nowhere_dense(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f185])).
% 14.25/2.16 fof(f3086,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_347|spl0_340),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3085,f669,f672,f3073,f3040])).
% 14.25/2.16 fof(f3089,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_33(sk0_43))|closed_subset(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f167])).
% 14.25/2.16 fof(f3090,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_347|spl0_346),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3089,f669,f672,f3073,f3068])).
% 14.25/2.16 fof(f3091,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_33(sk0_43))|open_subset(sk0_33(sk0_43),sk0_43)),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f166])).
% 14.25/2.16 fof(f3092,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_347|spl0_339),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3091,f669,f672,f3073,f3037])).
% 14.25/2.16 fof(f3101,plain,(
% 14.25/2.16 spl0_350 <=> finite(sk0_33(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3106,plain,(
% 14.25/2.16 spl0_351 <=> in(sk0_33(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3109,plain,(
% 14.25/2.16 empty(powerset(the_carrier(sk0_43)))|in(sk0_33(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2273,f609])).
% 14.25/2.16 fof(f3110,plain,(
% 14.25/2.16 spl0_21|spl0_351),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3109,f742,f3106])).
% 14.25/2.16 fof(f3114,plain,(
% 14.25/2.16 $false|spl0_347),
% 14.25/2.16 inference(forward_subsumption_resolution,[status(thm)],[f3075,f1481])).
% 14.25/2.16 fof(f3115,plain,(
% 14.25/2.16 spl0_347),
% 14.25/2.16 inference(contradiction_clause,[status(thm)],[f3114])).
% 14.25/2.16 fof(f3187,plain,(
% 14.25/2.16 spl0_352 <=> nowhere_dense(sk0_16(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3190,plain,(
% 14.25/2.16 spl0_353 <=> v5_membered(sk0_16(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3193,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_16(sk0_43),sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|v5_membered(sk0_16(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f211])).
% 14.25/2.16 fof(f3194,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_149|~spl0_352|spl0_353|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3193,f669,f672,f1651,f3187,f3190,f2430])).
% 14.25/2.16 fof(f3195,plain,(
% 14.25/2.16 spl0_354 <=> v4_membered(sk0_16(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3198,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_16(sk0_43),sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|v4_membered(sk0_16(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f210])).
% 14.25/2.16 fof(f3199,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_149|~spl0_352|spl0_354|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3198,f669,f672,f1651,f3187,f3195,f2430])).
% 14.25/2.16 fof(f3200,plain,(
% 14.25/2.16 spl0_355 <=> v3_membered(sk0_16(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3203,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_16(sk0_43),sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|v3_membered(sk0_16(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f209])).
% 14.25/2.16 fof(f3204,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_149|~spl0_352|spl0_355|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3203,f669,f672,f1651,f3187,f3200,f2430])).
% 14.25/2.16 fof(f3205,plain,(
% 14.25/2.16 spl0_356 <=> v2_membered(sk0_16(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3208,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_16(sk0_43),sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|v2_membered(sk0_16(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f208])).
% 14.25/2.16 fof(f3209,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_149|~spl0_352|spl0_356|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3208,f669,f672,f1651,f3187,f3205,f2430])).
% 14.25/2.16 fof(f3210,plain,(
% 14.25/2.16 spl0_357 <=> v1_membered(sk0_16(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3213,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_16(sk0_43),sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|v1_membered(sk0_16(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f207])).
% 14.25/2.16 fof(f3214,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_149|~spl0_352|spl0_357|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3213,f669,f672,f1651,f3187,f3210,f2430])).
% 14.25/2.16 fof(f3215,plain,(
% 14.25/2.16 spl0_358 <=> closed_subset(sk0_16(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3218,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_16(sk0_43),sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|closed_subset(sk0_16(sk0_43),sk0_43)|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f206])).
% 14.25/2.16 fof(f3219,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_149|~spl0_352|spl0_358|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3218,f669,f672,f1651,f3187,f3215,f2430])).
% 14.25/2.16 fof(f3220,plain,(
% 14.25/2.16 spl0_359 <=> empty(sk0_16(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3223,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_16(sk0_43),sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|empty(sk0_16(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f204])).
% 14.25/2.16 fof(f3224,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_149|~spl0_352|spl0_359|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3223,f669,f672,f1651,f3187,f3220,f2430])).
% 14.25/2.16 fof(f3225,plain,(
% 14.25/2.16 spl0_360 <=> boundary_set(sk0_16(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3228,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_16(sk0_43),sk0_43)|~boundary_set(sk0_16(sk0_43),sk0_43)|nowhere_dense(sk0_16(sk0_43),sk0_43)|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f196])).
% 14.25/2.16 fof(f3229,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_358|~spl0_360|spl0_352|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3228,f669,f672,f3215,f3225,f3187,f2430])).
% 14.25/2.16 fof(f3230,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_16(sk0_43),sk0_43)|boundary_set(sk0_16(sk0_43),sk0_43)|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f190])).
% 14.25/2.16 fof(f3231,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_352|spl0_360|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3230,f669,f672,f3187,f3225,f2430])).
% 14.25/2.16 fof(f3232,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_16(sk0_43))|nowhere_dense(sk0_16(sk0_43),sk0_43)|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f185])).
% 14.25/2.16 fof(f3233,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_359|spl0_352|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3232,f669,f672,f3220,f3187,f2430])).
% 14.25/2.16 fof(f3234,plain,(
% 14.25/2.16 ~top_str(sk0_43)|~empty(sk0_16(sk0_43))|boundary_set(sk0_16(sk0_43),sk0_43)|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f177])).
% 14.25/2.16 fof(f3235,plain,(
% 14.25/2.16 ~spl0_7|~spl0_359|spl0_360|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3234,f672,f3220,f3225,f2430])).
% 14.25/2.16 fof(f3241,plain,(
% 14.25/2.16 empty(sk0_16(sk0_43))|~empty(the_carrier(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f1369])).
% 14.25/2.16 fof(f3242,plain,(
% 14.25/2.16 spl0_359|~spl0_2|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3241,f3220,f650,f2430])).
% 14.25/2.16 fof(f3243,plain,(
% 14.25/2.16 spl0_361 <=> element(sk0_5(sk0_16(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3246,plain,(
% 14.25/2.16 empty(sk0_16(sk0_43))|element(sk0_5(sk0_16(sk0_43)),the_carrier(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f1368])).
% 14.25/2.16 fof(f3247,plain,(
% 14.25/2.16 spl0_359|spl0_361|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3246,f3220,f3243,f2430])).
% 14.25/2.16 fof(f3248,plain,(
% 14.25/2.16 spl0_362 <=> finite(sk0_16(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3249,plain,(
% 14.25/2.16 finite(sk0_16(sk0_43))|~spl0_362),
% 14.25/2.16 inference(component_clause,[status(thm)],[f3248])).
% 14.25/2.16 fof(f3251,plain,(
% 14.25/2.16 ~finite(the_carrier(sk0_43))|finite(sk0_16(sk0_43))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f173])).
% 14.25/2.16 fof(f3252,plain,(
% 14.25/2.16 ~spl0_104|spl0_362|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3251,f1188,f3248,f2430])).
% 14.25/2.16 fof(f3253,plain,(
% 14.25/2.16 spl0_363 <=> in(sk0_16(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3256,plain,(
% 14.25/2.16 empty(powerset(the_carrier(sk0_43)))|in(sk0_16(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_231),
% 14.25/2.16 inference(resolution,[status(thm)],[f2431,f609])).
% 14.25/2.16 fof(f3257,plain,(
% 14.25/2.16 spl0_21|spl0_363|~spl0_231),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3256,f742,f3253,f2430])).
% 14.25/2.16 fof(f3264,plain,(
% 14.25/2.16 empty(sk0_5(powerset(sk0_45)))|~spl0_97),
% 14.25/2.16 inference(resolution,[status(thm)],[f1140,f1409])).
% 14.25/2.16 fof(f3266,plain,(
% 14.25/2.16 sk0_33(sk0_43)=sk0_45|~spl0_97),
% 14.25/2.16 inference(resolution,[status(thm)],[f1140,f1909])).
% 14.25/2.16 fof(f3267,plain,(
% 14.25/2.16 ![X0]: (sk0_22(X0)=sk0_45|~spl0_97)),
% 14.25/2.16 inference(resolution,[status(thm)],[f1140,f1493])).
% 14.25/2.16 fof(f3268,plain,(
% 14.25/2.16 ![X0]: (sk0_45=X0|~empty(X0)|~spl0_97)),
% 14.25/2.16 inference(resolution,[status(thm)],[f1140,f641])).
% 14.25/2.16 fof(f3277,plain,(
% 14.25/2.16 sk0_14=sk0_45|~spl0_97),
% 14.25/2.16 inference(paramodulation,[status(thm)],[f1498,f3267])).
% 14.25/2.16 fof(f3331,plain,(
% 14.25/2.16 element(sk0_45,powerset(the_carrier(sk0_43)))|~spl0_97),
% 14.25/2.16 inference(paramodulation,[status(thm)],[f3266,f2273])).
% 14.25/2.16 fof(f3332,plain,(
% 14.25/2.16 spl0_20|~spl0_97),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3331,f735,f1139])).
% 14.25/2.16 fof(f3353,plain,(
% 14.25/2.16 spl0_364 <=> nowhere_dense(sk0_23(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3356,plain,(
% 14.25/2.16 spl0_365 <=> v5_membered(sk0_23(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3359,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_23(sk0_43),sk0_43)|~nowhere_dense(sk0_23(sk0_43),sk0_43)|v5_membered(sk0_23(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f211])).
% 14.25/2.16 fof(f3360,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_151|~spl0_364|spl0_365|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3359,f669,f672,f1661,f3353,f3356,f2440])).
% 14.25/2.16 fof(f3361,plain,(
% 14.25/2.16 spl0_366 <=> v4_membered(sk0_23(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3364,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_23(sk0_43),sk0_43)|~nowhere_dense(sk0_23(sk0_43),sk0_43)|v4_membered(sk0_23(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f210])).
% 14.25/2.16 fof(f3365,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_151|~spl0_364|spl0_366|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3364,f669,f672,f1661,f3353,f3361,f2440])).
% 14.25/2.16 fof(f3366,plain,(
% 14.25/2.16 spl0_367 <=> v3_membered(sk0_23(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3369,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_23(sk0_43),sk0_43)|~nowhere_dense(sk0_23(sk0_43),sk0_43)|v3_membered(sk0_23(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f209])).
% 14.25/2.16 fof(f3370,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_151|~spl0_364|spl0_367|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3369,f669,f672,f1661,f3353,f3366,f2440])).
% 14.25/2.16 fof(f3371,plain,(
% 14.25/2.16 spl0_368 <=> v2_membered(sk0_23(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3374,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_23(sk0_43),sk0_43)|~nowhere_dense(sk0_23(sk0_43),sk0_43)|v2_membered(sk0_23(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f208])).
% 14.25/2.16 fof(f3375,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_151|~spl0_364|spl0_368|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3374,f669,f672,f1661,f3353,f3371,f2440])).
% 14.25/2.16 fof(f3376,plain,(
% 14.25/2.16 spl0_369 <=> v1_membered(sk0_23(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3379,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_23(sk0_43),sk0_43)|~nowhere_dense(sk0_23(sk0_43),sk0_43)|v1_membered(sk0_23(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f207])).
% 14.25/2.16 fof(f3380,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_151|~spl0_364|spl0_369|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3379,f669,f672,f1661,f3353,f3376,f2440])).
% 14.25/2.16 fof(f3383,plain,(
% 14.25/2.16 spl0_370 <=> empty(sk0_23(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3386,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_23(sk0_43),sk0_43)|~nowhere_dense(sk0_23(sk0_43),sk0_43)|empty(sk0_23(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f204])).
% 14.25/2.16 fof(f3387,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_151|~spl0_364|spl0_370|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3386,f669,f672,f1661,f3353,f3383,f2440])).
% 14.25/2.16 fof(f3388,plain,(
% 14.25/2.16 spl0_371 <=> boundary_set(sk0_23(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3391,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_23(sk0_43),sk0_43)|~boundary_set(sk0_23(sk0_43),sk0_43)|nowhere_dense(sk0_23(sk0_43),sk0_43)|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f196])).
% 14.25/2.16 fof(f3392,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_153|~spl0_371|spl0_364|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3391,f669,f672,f1671,f3388,f3353,f2440])).
% 14.25/2.16 fof(f3393,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_23(sk0_43),sk0_43)|boundary_set(sk0_23(sk0_43),sk0_43)|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f190])).
% 14.25/2.16 fof(f3394,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_364|spl0_371|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3393,f669,f672,f3353,f3388,f2440])).
% 14.25/2.16 fof(f3395,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_23(sk0_43))|nowhere_dense(sk0_23(sk0_43),sk0_43)|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f185])).
% 14.25/2.16 fof(f3396,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_370|spl0_364|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3395,f669,f672,f3383,f3353,f2440])).
% 14.25/2.16 fof(f3397,plain,(
% 14.25/2.16 ~top_str(sk0_43)|~empty(sk0_23(sk0_43))|boundary_set(sk0_23(sk0_43),sk0_43)|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f177])).
% 14.25/2.16 fof(f3398,plain,(
% 14.25/2.16 ~spl0_7|~spl0_370|spl0_371|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3397,f672,f3383,f3388,f2440])).
% 14.25/2.16 fof(f3404,plain,(
% 14.25/2.16 empty(sk0_23(sk0_43))|~empty(the_carrier(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f1369])).
% 14.25/2.16 fof(f3405,plain,(
% 14.25/2.16 spl0_370|~spl0_2|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3404,f3383,f650,f2440])).
% 14.25/2.16 fof(f3406,plain,(
% 14.25/2.16 spl0_372 <=> element(sk0_5(sk0_23(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3409,plain,(
% 14.25/2.16 empty(sk0_23(sk0_43))|element(sk0_5(sk0_23(sk0_43)),the_carrier(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f1368])).
% 14.25/2.16 fof(f3410,plain,(
% 14.25/2.16 spl0_370|spl0_372|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3409,f3383,f3406,f2440])).
% 14.25/2.16 fof(f3411,plain,(
% 14.25/2.16 spl0_373 <=> finite(sk0_23(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3412,plain,(
% 14.25/2.16 finite(sk0_23(sk0_43))|~spl0_373),
% 14.25/2.16 inference(component_clause,[status(thm)],[f3411])).
% 14.25/2.16 fof(f3414,plain,(
% 14.25/2.16 ~finite(the_carrier(sk0_43))|finite(sk0_23(sk0_43))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f173])).
% 14.25/2.16 fof(f3415,plain,(
% 14.25/2.16 ~spl0_104|spl0_373|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3414,f1188,f3411,f2440])).
% 14.25/2.16 fof(f3416,plain,(
% 14.25/2.16 spl0_374 <=> in(sk0_23(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3419,plain,(
% 14.25/2.16 empty(powerset(the_carrier(sk0_43)))|in(sk0_23(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_233),
% 14.25/2.16 inference(resolution,[status(thm)],[f2441,f609])).
% 14.25/2.16 fof(f3420,plain,(
% 14.25/2.16 spl0_21|spl0_374|~spl0_233),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3419,f742,f3416,f2440])).
% 14.25/2.16 fof(f3455,plain,(
% 14.25/2.16 spl0_376 <=> finite(sk0_36(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3460,plain,(
% 14.25/2.16 spl0_377 <=> in(sk0_36(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3463,plain,(
% 14.25/2.16 empty(powerset(the_carrier(sk0_43)))|in(sk0_36(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_250),
% 14.25/2.16 inference(resolution,[status(thm)],[f2526,f609])).
% 14.25/2.16 fof(f3464,plain,(
% 14.25/2.16 spl0_21|spl0_377|~spl0_250),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3463,f742,f3460,f2525])).
% 14.25/2.16 fof(f3518,plain,(
% 14.25/2.16 sk0_45=sk0_5(powerset(sk0_14))|~spl0_97),
% 14.25/2.16 inference(resolution,[status(thm)],[f2192,f3268])).
% 14.25/2.16 fof(f3522,plain,(
% 14.25/2.16 ![X0]: (sk0_22(X0)=sk0_5(powerset(sk0_14)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2192,f1493])).
% 14.25/2.16 fof(f3524,plain,(
% 14.25/2.16 sk0_5(powerset(sk0_14))=empty_set),
% 14.25/2.16 inference(resolution,[status(thm)],[f2192,f635])).
% 14.25/2.16 fof(f3528,plain,(
% 14.25/2.16 sk0_45=sk0_5(powerset(empty_set))|~spl0_97),
% 14.25/2.16 inference(resolution,[status(thm)],[f2193,f3268])).
% 14.25/2.16 fof(f3534,plain,(
% 14.25/2.16 sk0_5(powerset(empty_set))=empty_set),
% 14.25/2.16 inference(resolution,[status(thm)],[f2193,f635])).
% 14.25/2.16 fof(f3536,plain,(
% 14.25/2.16 finite(sk0_5(powerset(empty_set)))),
% 14.25/2.16 inference(resolution,[status(thm)],[f2193,f157])).
% 14.25/2.16 fof(f3544,plain,(
% 14.25/2.16 spl0_379 <=> open_subset(sk0_37(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3547,plain,(
% 14.25/2.16 spl0_380 <=> nowhere_dense(sk0_37(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3550,plain,(
% 14.25/2.16 spl0_381 <=> v5_membered(sk0_37(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3553,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_37(sk0_43),sk0_43)|~nowhere_dense(sk0_37(sk0_43),sk0_43)|v5_membered(sk0_37(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f211])).
% 14.25/2.16 fof(f3554,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_379|~spl0_380|spl0_381|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3553,f669,f672,f3544,f3547,f3550,f2535])).
% 14.25/2.16 fof(f3555,plain,(
% 14.25/2.16 spl0_382 <=> v4_membered(sk0_37(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3558,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_37(sk0_43),sk0_43)|~nowhere_dense(sk0_37(sk0_43),sk0_43)|v4_membered(sk0_37(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f210])).
% 14.25/2.16 fof(f3559,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_379|~spl0_380|spl0_382|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3558,f669,f672,f3544,f3547,f3555,f2535])).
% 14.25/2.16 fof(f3560,plain,(
% 14.25/2.16 spl0_383 <=> v3_membered(sk0_37(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3563,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_37(sk0_43),sk0_43)|~nowhere_dense(sk0_37(sk0_43),sk0_43)|v3_membered(sk0_37(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f209])).
% 14.25/2.16 fof(f3564,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_379|~spl0_380|spl0_383|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3563,f669,f672,f3544,f3547,f3560,f2535])).
% 14.25/2.16 fof(f3565,plain,(
% 14.25/2.16 spl0_384 <=> v2_membered(sk0_37(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3568,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_37(sk0_43),sk0_43)|~nowhere_dense(sk0_37(sk0_43),sk0_43)|v2_membered(sk0_37(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f208])).
% 14.25/2.16 fof(f3569,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_379|~spl0_380|spl0_384|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3568,f669,f672,f3544,f3547,f3565,f2535])).
% 14.25/2.16 fof(f3570,plain,(
% 14.25/2.16 spl0_385 <=> v1_membered(sk0_37(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3573,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_37(sk0_43),sk0_43)|~nowhere_dense(sk0_37(sk0_43),sk0_43)|v1_membered(sk0_37(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f207])).
% 14.25/2.16 fof(f3574,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_379|~spl0_380|spl0_385|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3573,f669,f672,f3544,f3547,f3570,f2535])).
% 14.25/2.16 fof(f3577,plain,(
% 14.25/2.16 spl0_386 <=> empty(sk0_37(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3580,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_37(sk0_43),sk0_43)|~nowhere_dense(sk0_37(sk0_43),sk0_43)|empty(sk0_37(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f204])).
% 14.25/2.16 fof(f3581,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_379|~spl0_380|spl0_386|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3580,f669,f672,f3544,f3547,f3577,f2535])).
% 14.25/2.16 fof(f3582,plain,(
% 14.25/2.16 spl0_387 <=> boundary_set(sk0_37(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3585,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_37(sk0_43),sk0_43)|~boundary_set(sk0_37(sk0_43),sk0_43)|nowhere_dense(sk0_37(sk0_43),sk0_43)|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f196])).
% 14.25/2.16 fof(f3586,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_163|~spl0_387|spl0_380|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3585,f669,f672,f1721,f3582,f3547,f2535])).
% 14.25/2.16 fof(f3587,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_37(sk0_43),sk0_43)|boundary_set(sk0_37(sk0_43),sk0_43)|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f190])).
% 14.25/2.16 fof(f3588,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_380|spl0_387|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3587,f669,f672,f3547,f3582,f2535])).
% 14.25/2.16 fof(f3589,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_37(sk0_43))|nowhere_dense(sk0_37(sk0_43),sk0_43)|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f185])).
% 14.25/2.16 fof(f3590,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_386|spl0_380|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3589,f669,f672,f3577,f3547,f2535])).
% 14.25/2.16 fof(f3591,plain,(
% 14.25/2.16 ~top_str(sk0_43)|~empty(sk0_37(sk0_43))|boundary_set(sk0_37(sk0_43),sk0_43)|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f177])).
% 14.25/2.16 fof(f3592,plain,(
% 14.25/2.16 ~spl0_7|~spl0_386|spl0_387|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3591,f672,f3577,f3582,f2535])).
% 14.25/2.16 fof(f3595,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_37(sk0_43))|open_subset(sk0_37(sk0_43),sk0_43)|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f166])).
% 14.25/2.16 fof(f3596,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_386|spl0_379|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3595,f669,f672,f3577,f3544,f2535])).
% 14.25/2.16 fof(f3598,plain,(
% 14.25/2.16 empty(sk0_37(sk0_43))|~empty(the_carrier(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f1369])).
% 14.25/2.16 fof(f3599,plain,(
% 14.25/2.16 spl0_386|~spl0_2|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3598,f3577,f650,f2535])).
% 14.25/2.16 fof(f3600,plain,(
% 14.25/2.16 spl0_388 <=> element(sk0_5(sk0_37(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3603,plain,(
% 14.25/2.16 empty(sk0_37(sk0_43))|element(sk0_5(sk0_37(sk0_43)),the_carrier(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f1368])).
% 14.25/2.16 fof(f3604,plain,(
% 14.25/2.16 spl0_386|spl0_388|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3603,f3577,f3600,f2535])).
% 14.25/2.16 fof(f3605,plain,(
% 14.25/2.16 spl0_389 <=> finite(sk0_37(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3608,plain,(
% 14.25/2.16 ~finite(the_carrier(sk0_43))|finite(sk0_37(sk0_43))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f173])).
% 14.25/2.16 fof(f3609,plain,(
% 14.25/2.16 ~spl0_104|spl0_389|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3608,f1188,f3605,f2535])).
% 14.25/2.16 fof(f3610,plain,(
% 14.25/2.16 spl0_390 <=> in(sk0_37(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3613,plain,(
% 14.25/2.16 empty(powerset(the_carrier(sk0_43)))|in(sk0_37(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_252),
% 14.25/2.16 inference(resolution,[status(thm)],[f2536,f609])).
% 14.25/2.16 fof(f3614,plain,(
% 14.25/2.16 spl0_21|spl0_390|~spl0_252),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3613,f742,f3610,f2535])).
% 14.25/2.16 fof(f3615,plain,(
% 14.25/2.16 spl0_391 <=> nowhere_dense(sk0_30(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3618,plain,(
% 14.25/2.16 spl0_392 <=> v5_membered(sk0_30(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3621,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_30(sk0_43),sk0_43)|~nowhere_dense(sk0_30(sk0_43),sk0_43)|v5_membered(sk0_30(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f211])).
% 14.25/2.16 fof(f3622,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_225|~spl0_391|spl0_392|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3621,f669,f672,f2400,f3615,f3618,f2716])).
% 14.25/2.16 fof(f3623,plain,(
% 14.25/2.16 spl0_393 <=> v4_membered(sk0_30(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3626,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_30(sk0_43),sk0_43)|~nowhere_dense(sk0_30(sk0_43),sk0_43)|v4_membered(sk0_30(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f210])).
% 14.25/2.16 fof(f3627,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_225|~spl0_391|spl0_393|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3626,f669,f672,f2400,f3615,f3623,f2716])).
% 14.25/2.16 fof(f3628,plain,(
% 14.25/2.16 spl0_394 <=> v3_membered(sk0_30(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3631,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_30(sk0_43),sk0_43)|~nowhere_dense(sk0_30(sk0_43),sk0_43)|v3_membered(sk0_30(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f209])).
% 14.25/2.16 fof(f3632,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_225|~spl0_391|spl0_394|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3631,f669,f672,f2400,f3615,f3628,f2716])).
% 14.25/2.16 fof(f3633,plain,(
% 14.25/2.16 spl0_395 <=> v2_membered(sk0_30(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3636,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_30(sk0_43),sk0_43)|~nowhere_dense(sk0_30(sk0_43),sk0_43)|v2_membered(sk0_30(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f208])).
% 14.25/2.16 fof(f3637,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_225|~spl0_391|spl0_395|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3636,f669,f672,f2400,f3615,f3633,f2716])).
% 14.25/2.16 fof(f3638,plain,(
% 14.25/2.16 spl0_396 <=> v1_membered(sk0_30(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3641,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_30(sk0_43),sk0_43)|~nowhere_dense(sk0_30(sk0_43),sk0_43)|v1_membered(sk0_30(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f207])).
% 14.25/2.16 fof(f3642,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_225|~spl0_391|spl0_396|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3641,f669,f672,f2400,f3615,f3638,f2716])).
% 14.25/2.16 fof(f3645,plain,(
% 14.25/2.16 spl0_397 <=> empty(sk0_30(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3648,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_30(sk0_43),sk0_43)|~nowhere_dense(sk0_30(sk0_43),sk0_43)|empty(sk0_30(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f204])).
% 14.25/2.16 fof(f3649,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_225|~spl0_391|spl0_397|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3648,f669,f672,f2400,f3615,f3645,f2716])).
% 14.25/2.16 fof(f3650,plain,(
% 14.25/2.16 spl0_398 <=> boundary_set(sk0_30(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3653,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_30(sk0_43),sk0_43)|~boundary_set(sk0_30(sk0_43),sk0_43)|nowhere_dense(sk0_30(sk0_43),sk0_43)|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f196])).
% 14.25/2.16 fof(f3654,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_227|~spl0_398|spl0_391|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3653,f669,f672,f2410,f3650,f3615,f2716])).
% 14.25/2.16 fof(f3655,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_30(sk0_43),sk0_43)|boundary_set(sk0_30(sk0_43),sk0_43)|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f190])).
% 14.25/2.16 fof(f3656,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_391|spl0_398|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3655,f669,f672,f3615,f3650,f2716])).
% 14.25/2.16 fof(f3657,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_30(sk0_43))|nowhere_dense(sk0_30(sk0_43),sk0_43)|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f185])).
% 14.25/2.16 fof(f3658,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_397|spl0_391|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3657,f669,f672,f3645,f3615,f2716])).
% 14.25/2.16 fof(f3666,plain,(
% 14.25/2.16 empty(sk0_30(sk0_43))|~empty(the_carrier(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f1369])).
% 14.25/2.16 fof(f3667,plain,(
% 14.25/2.16 spl0_397|~spl0_2|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3666,f3645,f650,f2716])).
% 14.25/2.16 fof(f3668,plain,(
% 14.25/2.16 spl0_399 <=> element(sk0_5(sk0_30(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3671,plain,(
% 14.25/2.16 empty(sk0_30(sk0_43))|element(sk0_5(sk0_30(sk0_43)),the_carrier(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f1368])).
% 14.25/2.16 fof(f3672,plain,(
% 14.25/2.16 spl0_397|spl0_399|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3671,f3645,f3668,f2716])).
% 14.25/2.16 fof(f3673,plain,(
% 14.25/2.16 spl0_400 <=> finite(sk0_30(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3676,plain,(
% 14.25/2.16 ~finite(the_carrier(sk0_43))|finite(sk0_30(sk0_43))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f173])).
% 14.25/2.16 fof(f3677,plain,(
% 14.25/2.16 ~spl0_104|spl0_400|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3676,f1188,f3673,f2716])).
% 14.25/2.16 fof(f3678,plain,(
% 14.25/2.16 spl0_401 <=> in(sk0_30(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3681,plain,(
% 14.25/2.16 empty(powerset(the_carrier(sk0_43)))|in(sk0_30(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_287),
% 14.25/2.16 inference(resolution,[status(thm)],[f2717,f609])).
% 14.25/2.16 fof(f3682,plain,(
% 14.25/2.16 spl0_21|spl0_401|~spl0_287),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3681,f742,f3678,f2716])).
% 14.25/2.16 fof(f3683,plain,(
% 14.25/2.16 spl0_402 <=> open_subset(sk0_38(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3686,plain,(
% 14.25/2.16 spl0_403 <=> nowhere_dense(sk0_38(sk0_43),sk0_43)),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3689,plain,(
% 14.25/2.16 spl0_404 <=> v5_membered(sk0_38(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3692,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_38(sk0_43),sk0_43)|~nowhere_dense(sk0_38(sk0_43),sk0_43)|v5_membered(sk0_38(sk0_43))|~spl0_289),
% 14.25/2.16 inference(resolution,[status(thm)],[f2727,f211])).
% 14.25/2.16 fof(f3693,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_402|~spl0_403|spl0_404|~spl0_289),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3692,f669,f672,f3683,f3686,f3689,f2726])).
% 14.25/2.16 fof(f3694,plain,(
% 14.25/2.16 spl0_405 <=> v4_membered(sk0_38(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3697,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_38(sk0_43),sk0_43)|~nowhere_dense(sk0_38(sk0_43),sk0_43)|v4_membered(sk0_38(sk0_43))|~spl0_289),
% 14.25/2.16 inference(resolution,[status(thm)],[f2727,f210])).
% 14.25/2.16 fof(f3698,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_402|~spl0_403|spl0_405|~spl0_289),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3697,f669,f672,f3683,f3686,f3694,f2726])).
% 14.25/2.16 fof(f3699,plain,(
% 14.25/2.16 spl0_406 <=> v3_membered(sk0_38(sk0_43))),
% 14.25/2.16 introduced(split_symbol_definition)).
% 14.25/2.16 fof(f3702,plain,(
% 14.25/2.16 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_38(sk0_43),sk0_43)|~nowhere_dense(sk0_38(sk0_43),sk0_43)|v3_membered(sk0_38(sk0_43))|~spl0_289),
% 14.25/2.16 inference(resolution,[status(thm)],[f2727,f209])).
% 14.25/2.16 fof(f3703,plain,(
% 14.25/2.16 ~spl0_6|~spl0_7|~spl0_402|~spl0_403|spl0_406|~spl0_289),
% 14.25/2.16 inference(split_clause,[status(thm)],[f3702,f669,f672,f3683,f3686,f3699,f2726])).
% 14.25/2.17 fof(f3704,plain,(
% 14.25/2.17 spl0_407 <=> v2_membered(sk0_38(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3707,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_38(sk0_43),sk0_43)|~nowhere_dense(sk0_38(sk0_43),sk0_43)|v2_membered(sk0_38(sk0_43))|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f208])).
% 14.25/2.17 fof(f3708,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_402|~spl0_403|spl0_407|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3707,f669,f672,f3683,f3686,f3704,f2726])).
% 14.25/2.17 fof(f3709,plain,(
% 14.25/2.17 spl0_408 <=> v1_membered(sk0_38(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3712,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_38(sk0_43),sk0_43)|~nowhere_dense(sk0_38(sk0_43),sk0_43)|v1_membered(sk0_38(sk0_43))|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f207])).
% 14.25/2.17 fof(f3713,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_402|~spl0_403|spl0_408|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3712,f669,f672,f3683,f3686,f3709,f2726])).
% 14.25/2.17 fof(f3716,plain,(
% 14.25/2.17 spl0_409 <=> empty(sk0_38(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3719,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_38(sk0_43),sk0_43)|~nowhere_dense(sk0_38(sk0_43),sk0_43)|empty(sk0_38(sk0_43))|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f204])).
% 14.25/2.17 fof(f3720,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_402|~spl0_403|spl0_409|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3719,f669,f672,f3683,f3686,f3716,f2726])).
% 14.25/2.17 fof(f3721,plain,(
% 14.25/2.17 spl0_410 <=> boundary_set(sk0_38(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3724,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_38(sk0_43),sk0_43)|~boundary_set(sk0_38(sk0_43),sk0_43)|nowhere_dense(sk0_38(sk0_43),sk0_43)|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f196])).
% 14.25/2.17 fof(f3725,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_229|~spl0_410|spl0_403|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3724,f669,f672,f2420,f3721,f3686,f2726])).
% 14.25/2.17 fof(f3726,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_38(sk0_43),sk0_43)|boundary_set(sk0_38(sk0_43),sk0_43)|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f190])).
% 14.25/2.17 fof(f3727,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_403|spl0_410|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3726,f669,f672,f3686,f3721,f2726])).
% 14.25/2.17 fof(f3728,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_38(sk0_43))|nowhere_dense(sk0_38(sk0_43),sk0_43)|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f185])).
% 14.25/2.17 fof(f3729,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_409|spl0_403|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3728,f669,f672,f3716,f3686,f2726])).
% 14.25/2.17 fof(f3734,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_38(sk0_43))|open_subset(sk0_38(sk0_43),sk0_43)|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f166])).
% 14.25/2.17 fof(f3735,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_409|spl0_402|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3734,f669,f672,f3716,f3683,f2726])).
% 14.25/2.17 fof(f3737,plain,(
% 14.25/2.17 empty(sk0_38(sk0_43))|~empty(the_carrier(sk0_43))|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f1369])).
% 14.25/2.17 fof(f3738,plain,(
% 14.25/2.17 spl0_409|~spl0_2|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3737,f3716,f650,f2726])).
% 14.25/2.17 fof(f3739,plain,(
% 14.25/2.17 spl0_411 <=> element(sk0_5(sk0_38(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3742,plain,(
% 14.25/2.17 empty(sk0_38(sk0_43))|element(sk0_5(sk0_38(sk0_43)),the_carrier(sk0_43))|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f1368])).
% 14.25/2.17 fof(f3743,plain,(
% 14.25/2.17 spl0_409|spl0_411|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3742,f3716,f3739,f2726])).
% 14.25/2.17 fof(f3744,plain,(
% 14.25/2.17 spl0_412 <=> finite(sk0_38(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3747,plain,(
% 14.25/2.17 ~finite(the_carrier(sk0_43))|finite(sk0_38(sk0_43))|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f173])).
% 14.25/2.17 fof(f3748,plain,(
% 14.25/2.17 ~spl0_104|spl0_412|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3747,f1188,f3744,f2726])).
% 14.25/2.17 fof(f3749,plain,(
% 14.25/2.17 spl0_413 <=> in(sk0_38(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3752,plain,(
% 14.25/2.17 empty(powerset(the_carrier(sk0_43)))|in(sk0_38(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_289),
% 14.25/2.17 inference(resolution,[status(thm)],[f2727,f609])).
% 14.25/2.17 fof(f3753,plain,(
% 14.25/2.17 spl0_21|spl0_413|~spl0_289),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3752,f742,f3749,f2726])).
% 14.25/2.17 fof(f3798,plain,(
% 14.25/2.17 sk0_36(sk0_43)=sk0_33(sk0_1)|~spl0_137),
% 14.25/2.17 inference(resolution,[status(thm)],[f1480,f1972])).
% 14.25/2.17 fof(f3900,plain,(
% 14.25/2.17 sk0_14=sk0_5(powerset(empty_set))),
% 14.25/2.17 inference(resolution,[status(thm)],[f1494,f2193])).
% 14.25/2.17 fof(f3901,plain,(
% 14.25/2.17 sk0_14=sk0_5(powerset(sk0_14))),
% 14.25/2.17 inference(resolution,[status(thm)],[f1494,f2192])).
% 14.25/2.17 fof(f3938,plain,(
% 14.25/2.17 spl0_414 <=> directed_subset(cast_as_carrier_subset(sk0_13),sk0_13)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3943,plain,(
% 14.25/2.17 spl0_415 <=> directed_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3948,plain,(
% 14.25/2.17 spl0_416 <=> directed_subset(cast_as_carrier_subset(sk0_20),sk0_20)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3953,plain,(
% 14.25/2.17 spl0_417 <=> directed_subset(cast_as_carrier_subset(sk0_19),sk0_19)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3958,plain,(
% 14.25/2.17 spl0_418 <=> directed_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3963,plain,(
% 14.25/2.17 spl0_419 <=> directed_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3966,plain,(
% 14.25/2.17 ~rel_str(sk0_11)|directed_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.17 inference(resolution,[status(thm)],[f291,f406])).
% 14.25/2.17 fof(f3967,plain,(
% 14.25/2.17 ~spl0_23|spl0_419),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3966,f750,f3963])).
% 14.25/2.17 fof(f3968,plain,(
% 14.25/2.17 empty_carrier(sk0_20)|~rel_str(sk0_20)|directed_subset(cast_as_carrier_subset(sk0_20),sk0_20)|~spl0_115),
% 14.25/2.17 inference(resolution,[status(thm)],[f316,f1308])).
% 14.25/2.17 fof(f3969,plain,(
% 14.25/2.17 spl0_78|~spl0_76|spl0_416|~spl0_115),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3968,f1034,f1024,f3948,f1307])).
% 14.25/2.17 fof(f3970,plain,(
% 14.25/2.17 empty_carrier(sk0_13)|~rel_str(sk0_13)|directed_subset(cast_as_carrier_subset(sk0_13),sk0_13)|~spl0_116),
% 14.25/2.17 inference(resolution,[status(thm)],[f316,f1313])).
% 14.25/2.17 fof(f3971,plain,(
% 14.25/2.17 spl0_37|~spl0_35|spl0_414|~spl0_116),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3970,f822,f812,f3938,f1312])).
% 14.25/2.17 fof(f3974,plain,(
% 14.25/2.17 empty_carrier(sk0_19)|~rel_str(sk0_19)|directed_subset(cast_as_carrier_subset(sk0_19),sk0_19)|~spl0_60),
% 14.25/2.17 inference(resolution,[status(thm)],[f316,f914])).
% 14.25/2.17 fof(f3975,plain,(
% 14.25/2.17 spl0_54|~spl0_52|spl0_417|~spl0_60),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3974,f895,f885,f3953,f913])).
% 14.25/2.17 fof(f3976,plain,(
% 14.25/2.17 empty_carrier(sk0_26)|~rel_str(sk0_26)|directed_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.17 inference(resolution,[status(thm)],[f316,f512])).
% 14.25/2.17 fof(f3977,plain,(
% 14.25/2.17 spl0_84|~spl0_83|spl0_415),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3976,f1062,f1059,f3943])).
% 14.25/2.17 fof(f3978,plain,(
% 14.25/2.17 empty_carrier(sk0_18)|~rel_str(sk0_18)|directed_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.17 inference(resolution,[status(thm)],[f316,f450])).
% 14.25/2.17 fof(f3979,plain,(
% 14.25/2.17 spl0_43|~spl0_41|spl0_418),
% 14.25/2.17 inference(split_clause,[status(thm)],[f3978,f852,f842,f3958])).
% 14.25/2.17 fof(f3984,plain,(
% 14.25/2.17 spl0_420 <=> filtered_subset(cast_as_carrier_subset(sk0_13),sk0_13)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3989,plain,(
% 14.25/2.17 spl0_421 <=> filtered_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3994,plain,(
% 14.25/2.17 spl0_422 <=> filtered_subset(cast_as_carrier_subset(sk0_20),sk0_20)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f3999,plain,(
% 14.25/2.17 spl0_423 <=> filtered_subset(cast_as_carrier_subset(sk0_19),sk0_19)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4004,plain,(
% 14.25/2.17 spl0_424 <=> filtered_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4009,plain,(
% 14.25/2.17 spl0_425 <=> filtered_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4012,plain,(
% 14.25/2.17 ~rel_str(sk0_11)|filtered_subset(cast_as_carrier_subset(sk0_11),sk0_11)),
% 14.25/2.17 inference(resolution,[status(thm)],[f323,f407])).
% 14.25/2.17 fof(f4013,plain,(
% 14.25/2.17 ~spl0_23|spl0_425),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4012,f750,f4009])).
% 14.25/2.17 fof(f4014,plain,(
% 14.25/2.17 spl0_426 <=> closed_subset(cast_as_carrier_subset(sk0_1),sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4017,plain,(
% 14.25/2.17 ~topological_space(sk0_1)|closed_subset(cast_as_carrier_subset(sk0_1),sk0_1)),
% 14.25/2.17 inference(resolution,[status(thm)],[f325,f244])).
% 14.25/2.17 fof(f4018,plain,(
% 14.25/2.17 ~spl0_121|spl0_426),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4017,f1375,f4014])).
% 14.25/2.17 fof(f4019,plain,(
% 14.25/2.17 spl0_427 <=> closed_subset(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4022,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|closed_subset(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 inference(resolution,[status(thm)],[f325,f624])).
% 14.25/2.17 fof(f4023,plain,(
% 14.25/2.17 ~spl0_6|spl0_427),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4022,f669,f4019])).
% 14.25/2.17 fof(f4024,plain,(
% 14.25/2.17 sk0_14=sk0_5(powerset(sk0_45))|~spl0_97),
% 14.25/2.17 inference(resolution,[status(thm)],[f3264,f1494])).
% 14.25/2.17 fof(f4025,plain,(
% 14.25/2.17 sk0_45=sk0_5(powerset(sk0_45))|~spl0_97),
% 14.25/2.17 inference(resolution,[status(thm)],[f3264,f3268])).
% 14.25/2.17 fof(f4031,plain,(
% 14.25/2.17 sk0_5(powerset(sk0_45))=empty_set|~spl0_97),
% 14.25/2.17 inference(resolution,[status(thm)],[f3264,f635])).
% 14.25/2.17 fof(f4046,plain,(
% 14.25/2.17 spl0_430 <=> empty(powerset(sk0_14))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4047,plain,(
% 14.25/2.17 empty(powerset(sk0_14))|~spl0_430),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4046])).
% 14.25/2.17 fof(f4049,plain,(
% 14.25/2.17 spl0_431 <=> in(powerset(sk0_14),sk0_45)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4052,plain,(
% 14.25/2.17 empty(powerset(sk0_14))|~in(powerset(sk0_14),sk0_45)|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3518,f1371])).
% 14.25/2.17 fof(f4053,plain,(
% 14.25/2.17 spl0_430|~spl0_431|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4052,f4046,f4049,f1139])).
% 14.25/2.17 fof(f4054,plain,(
% 14.25/2.17 spl0_432 <=> in(sk0_45,powerset(sk0_14))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4057,plain,(
% 14.25/2.17 empty(powerset(sk0_14))|in(sk0_45,powerset(sk0_14))|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3518,f1367])).
% 14.25/2.17 fof(f4058,plain,(
% 14.25/2.17 spl0_430|spl0_432|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4057,f4046,f4054,f1139])).
% 14.25/2.17 fof(f4060,plain,(
% 14.25/2.17 $false|~spl0_430),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4047,f267])).
% 14.25/2.17 fof(f4061,plain,(
% 14.25/2.17 ~spl0_430),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f4060])).
% 14.25/2.17 fof(f4076,plain,(
% 14.25/2.17 spl0_435 <=> empty(powerset(empty_set))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4077,plain,(
% 14.25/2.17 empty(powerset(empty_set))|~spl0_435),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4076])).
% 14.25/2.17 fof(f4079,plain,(
% 14.25/2.17 spl0_436 <=> in(powerset(empty_set),sk0_45)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4082,plain,(
% 14.25/2.17 empty(powerset(empty_set))|~in(powerset(empty_set),sk0_45)|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3528,f1371])).
% 14.25/2.17 fof(f4083,plain,(
% 14.25/2.17 spl0_435|~spl0_436|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4082,f4076,f4079,f1139])).
% 14.25/2.17 fof(f4084,plain,(
% 14.25/2.17 spl0_437 <=> in(sk0_45,powerset(empty_set))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4087,plain,(
% 14.25/2.17 empty(powerset(empty_set))|in(sk0_45,powerset(empty_set))|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3528,f1367])).
% 14.25/2.17 fof(f4088,plain,(
% 14.25/2.17 spl0_435|spl0_437|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4087,f4076,f4084,f1139])).
% 14.25/2.17 fof(f4090,plain,(
% 14.25/2.17 $false|~spl0_435),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4077,f267])).
% 14.25/2.17 fof(f4091,plain,(
% 14.25/2.17 ~spl0_435),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f4090])).
% 14.25/2.17 fof(f4107,plain,(
% 14.25/2.17 spl0_438 <=> open_subset(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4110,plain,(
% 14.25/2.17 spl0_439 <=> nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4113,plain,(
% 14.25/2.17 spl0_440 <=> v5_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4116,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(cast_as_carrier_subset(sk0_43),sk0_43)|~nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)|v5_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f211])).
% 14.25/2.17 fof(f4117,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_438|~spl0_439|spl0_440),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4116,f669,f672,f4107,f4110,f4113])).
% 14.25/2.17 fof(f4118,plain,(
% 14.25/2.17 spl0_441 <=> v4_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4121,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(cast_as_carrier_subset(sk0_43),sk0_43)|~nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)|v4_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f210])).
% 14.25/2.17 fof(f4122,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_438|~spl0_439|spl0_441),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4121,f669,f672,f4107,f4110,f4118])).
% 14.25/2.17 fof(f4123,plain,(
% 14.25/2.17 spl0_442 <=> v3_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4126,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(cast_as_carrier_subset(sk0_43),sk0_43)|~nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)|v3_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f209])).
% 14.25/2.17 fof(f4127,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_438|~spl0_439|spl0_442),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4126,f669,f672,f4107,f4110,f4123])).
% 14.25/2.17 fof(f4128,plain,(
% 14.25/2.17 spl0_443 <=> v2_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4131,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(cast_as_carrier_subset(sk0_43),sk0_43)|~nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)|v2_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f208])).
% 14.25/2.17 fof(f4132,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_438|~spl0_439|spl0_443),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4131,f669,f672,f4107,f4110,f4128])).
% 14.25/2.17 fof(f4133,plain,(
% 14.25/2.17 spl0_444 <=> v1_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4136,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(cast_as_carrier_subset(sk0_43),sk0_43)|~nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)|v1_membered(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f207])).
% 14.25/2.17 fof(f4137,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_438|~spl0_439|spl0_444),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4136,f669,f672,f4107,f4110,f4133])).
% 14.25/2.17 fof(f4140,plain,(
% 14.25/2.17 spl0_445 <=> empty(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4143,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(cast_as_carrier_subset(sk0_43),sk0_43)|~nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)|empty(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f204])).
% 14.25/2.17 fof(f4144,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_438|~spl0_439|spl0_445),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4143,f669,f672,f4107,f4110,f4140])).
% 14.25/2.17 fof(f4145,plain,(
% 14.25/2.17 spl0_446 <=> boundary_set(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4148,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(cast_as_carrier_subset(sk0_43),sk0_43)|~boundary_set(cast_as_carrier_subset(sk0_43),sk0_43)|nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f196])).
% 14.25/2.17 fof(f4149,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_427|~spl0_446|spl0_439),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4148,f669,f672,f4019,f4145,f4110])).
% 14.25/2.17 fof(f4150,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)|boundary_set(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f190])).
% 14.25/2.17 fof(f4151,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_439|spl0_446),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4150,f669,f672,f4110,f4145])).
% 14.25/2.17 fof(f4152,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(cast_as_carrier_subset(sk0_43))|nowhere_dense(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f185])).
% 14.25/2.17 fof(f4153,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_445|spl0_439),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4152,f669,f672,f4140,f4110])).
% 14.25/2.17 fof(f4154,plain,(
% 14.25/2.17 ~top_str(sk0_43)|~empty(cast_as_carrier_subset(sk0_43))|boundary_set(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f177])).
% 14.25/2.17 fof(f4155,plain,(
% 14.25/2.17 ~spl0_7|~spl0_445|spl0_446),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4154,f672,f4140,f4145])).
% 14.25/2.17 fof(f4161,plain,(
% 14.25/2.17 empty(cast_as_carrier_subset(sk0_43))|~empty(the_carrier(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f1369])).
% 14.25/2.17 fof(f4162,plain,(
% 14.25/2.17 spl0_445|~spl0_2),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4161,f4140,f650])).
% 14.25/2.17 fof(f4163,plain,(
% 14.25/2.17 spl0_447 <=> element(sk0_5(cast_as_carrier_subset(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4166,plain,(
% 14.25/2.17 empty(cast_as_carrier_subset(sk0_43))|element(sk0_5(cast_as_carrier_subset(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f1368])).
% 14.25/2.17 fof(f4167,plain,(
% 14.25/2.17 spl0_445|spl0_447),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4166,f4140,f4163])).
% 14.25/2.17 fof(f4168,plain,(
% 14.25/2.17 spl0_448 <=> finite(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4169,plain,(
% 14.25/2.17 finite(cast_as_carrier_subset(sk0_43))|~spl0_448),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4168])).
% 14.25/2.17 fof(f4171,plain,(
% 14.25/2.17 ~finite(the_carrier(sk0_43))|finite(cast_as_carrier_subset(sk0_43))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f173])).
% 14.25/2.17 fof(f4172,plain,(
% 14.25/2.17 ~spl0_104|spl0_448),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4171,f1188,f4168])).
% 14.25/2.17 fof(f4173,plain,(
% 14.25/2.17 spl0_449 <=> in(cast_as_carrier_subset(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4176,plain,(
% 14.25/2.17 empty(powerset(the_carrier(sk0_43)))|in(cast_as_carrier_subset(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f2249,f609])).
% 14.25/2.17 fof(f4177,plain,(
% 14.25/2.17 spl0_21|spl0_449),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4176,f742,f4173])).
% 14.25/2.17 fof(f4178,plain,(
% 14.25/2.17 spl0_450 <=> open_subset(sk0_35(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4181,plain,(
% 14.25/2.17 spl0_451 <=> nowhere_dense(sk0_35(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4184,plain,(
% 14.25/2.17 spl0_452 <=> v5_membered(sk0_35(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4187,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_35(sk0_43),sk0_43)|~nowhere_dense(sk0_35(sk0_43),sk0_43)|v5_membered(sk0_35(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f211])).
% 14.25/2.17 fof(f4188,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_450|~spl0_451|spl0_452|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4187,f669,f672,f4178,f4181,f4184,f2450])).
% 14.25/2.17 fof(f4189,plain,(
% 14.25/2.17 spl0_453 <=> v4_membered(sk0_35(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4192,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_35(sk0_43),sk0_43)|~nowhere_dense(sk0_35(sk0_43),sk0_43)|v4_membered(sk0_35(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f210])).
% 14.25/2.17 fof(f4193,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_450|~spl0_451|spl0_453|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4192,f669,f672,f4178,f4181,f4189,f2450])).
% 14.25/2.17 fof(f4194,plain,(
% 14.25/2.17 spl0_454 <=> v3_membered(sk0_35(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4197,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_35(sk0_43),sk0_43)|~nowhere_dense(sk0_35(sk0_43),sk0_43)|v3_membered(sk0_35(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f209])).
% 14.25/2.17 fof(f4198,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_450|~spl0_451|spl0_454|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4197,f669,f672,f4178,f4181,f4194,f2450])).
% 14.25/2.17 fof(f4199,plain,(
% 14.25/2.17 spl0_455 <=> v2_membered(sk0_35(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4202,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_35(sk0_43),sk0_43)|~nowhere_dense(sk0_35(sk0_43),sk0_43)|v2_membered(sk0_35(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f208])).
% 14.25/2.17 fof(f4203,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_450|~spl0_451|spl0_455|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4202,f669,f672,f4178,f4181,f4199,f2450])).
% 14.25/2.17 fof(f4204,plain,(
% 14.25/2.17 spl0_456 <=> v1_membered(sk0_35(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4207,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_35(sk0_43),sk0_43)|~nowhere_dense(sk0_35(sk0_43),sk0_43)|v1_membered(sk0_35(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f207])).
% 14.25/2.17 fof(f4208,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_450|~spl0_451|spl0_456|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4207,f669,f672,f4178,f4181,f4204,f2450])).
% 14.25/2.17 fof(f4209,plain,(
% 14.25/2.17 spl0_457 <=> closed_subset(sk0_35(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4214,plain,(
% 14.25/2.17 spl0_458 <=> empty(sk0_35(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4217,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_35(sk0_43),sk0_43)|~nowhere_dense(sk0_35(sk0_43),sk0_43)|empty(sk0_35(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f204])).
% 14.25/2.17 fof(f4218,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_450|~spl0_451|spl0_458|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4217,f669,f672,f4178,f4181,f4214,f2450])).
% 14.25/2.17 fof(f4219,plain,(
% 14.25/2.17 spl0_459 <=> boundary_set(sk0_35(sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4222,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_35(sk0_43),sk0_43)|~boundary_set(sk0_35(sk0_43),sk0_43)|nowhere_dense(sk0_35(sk0_43),sk0_43)|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f196])).
% 14.25/2.17 fof(f4223,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_457|~spl0_459|spl0_451|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4222,f669,f672,f4209,f4219,f4181,f2450])).
% 14.25/2.17 fof(f4224,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_35(sk0_43),sk0_43)|boundary_set(sk0_35(sk0_43),sk0_43)|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f190])).
% 14.25/2.17 fof(f4225,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_451|spl0_459|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4224,f669,f672,f4181,f4219,f2450])).
% 14.25/2.17 fof(f4226,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_35(sk0_43))|nowhere_dense(sk0_35(sk0_43),sk0_43)|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f185])).
% 14.25/2.17 fof(f4227,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_458|spl0_451|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4226,f669,f672,f4214,f4181,f2450])).
% 14.25/2.17 fof(f4230,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_35(sk0_43))|closed_subset(sk0_35(sk0_43),sk0_43)|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f167])).
% 14.25/2.17 fof(f4231,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_458|spl0_457|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4230,f669,f672,f4214,f4209,f2450])).
% 14.25/2.17 fof(f4232,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_35(sk0_43))|open_subset(sk0_35(sk0_43),sk0_43)|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f166])).
% 14.25/2.17 fof(f4233,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_458|spl0_450|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4232,f669,f672,f4214,f4178,f2450])).
% 14.25/2.17 fof(f4235,plain,(
% 14.25/2.17 empty(sk0_35(sk0_43))|~empty(the_carrier(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f1369])).
% 14.25/2.17 fof(f4236,plain,(
% 14.25/2.17 spl0_458|~spl0_2|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4235,f4214,f650,f2450])).
% 14.25/2.17 fof(f4237,plain,(
% 14.25/2.17 spl0_460 <=> element(sk0_5(sk0_35(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4240,plain,(
% 14.25/2.17 empty(sk0_35(sk0_43))|element(sk0_5(sk0_35(sk0_43)),the_carrier(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f1368])).
% 14.25/2.17 fof(f4241,plain,(
% 14.25/2.17 spl0_458|spl0_460|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4240,f4214,f4237,f2450])).
% 14.25/2.17 fof(f4242,plain,(
% 14.25/2.17 spl0_461 <=> finite(sk0_35(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4245,plain,(
% 14.25/2.17 ~finite(the_carrier(sk0_43))|finite(sk0_35(sk0_43))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f173])).
% 14.25/2.17 fof(f4246,plain,(
% 14.25/2.17 ~spl0_104|spl0_461|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4245,f1188,f4242,f2450])).
% 14.25/2.17 fof(f4247,plain,(
% 14.25/2.17 spl0_462 <=> in(sk0_35(sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4250,plain,(
% 14.25/2.17 empty(powerset(the_carrier(sk0_43)))|in(sk0_35(sk0_43),powerset(the_carrier(sk0_43)))|~spl0_235),
% 14.25/2.17 inference(resolution,[status(thm)],[f2451,f609])).
% 14.25/2.17 fof(f4251,plain,(
% 14.25/2.17 spl0_21|spl0_462|~spl0_235),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4250,f742,f4247,f2450])).
% 14.25/2.17 fof(f4252,plain,(
% 14.25/2.17 spl0_463 <=> open_subset(sk0_3(sk0_44,sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4255,plain,(
% 14.25/2.17 spl0_464 <=> nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4258,plain,(
% 14.25/2.17 spl0_465 <=> v5_membered(sk0_3(sk0_44,sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4261,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|v5_membered(sk0_3(sk0_44,sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f211])).
% 14.25/2.17 fof(f4262,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_463|~spl0_464|spl0_465|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4261,f669,f672,f4252,f4255,f4258,f3027])).
% 14.25/2.17 fof(f4263,plain,(
% 14.25/2.17 spl0_466 <=> v4_membered(sk0_3(sk0_44,sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4266,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|v4_membered(sk0_3(sk0_44,sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f210])).
% 14.25/2.17 fof(f4267,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_463|~spl0_464|spl0_466|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4266,f669,f672,f4252,f4255,f4263,f3027])).
% 14.25/2.17 fof(f4268,plain,(
% 14.25/2.17 spl0_467 <=> v3_membered(sk0_3(sk0_44,sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4271,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|v3_membered(sk0_3(sk0_44,sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f209])).
% 14.25/2.17 fof(f4272,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_463|~spl0_464|spl0_467|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4271,f669,f672,f4252,f4255,f4268,f3027])).
% 14.25/2.17 fof(f4273,plain,(
% 14.25/2.17 spl0_468 <=> v2_membered(sk0_3(sk0_44,sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4276,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|v2_membered(sk0_3(sk0_44,sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f208])).
% 14.25/2.17 fof(f4277,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_463|~spl0_464|spl0_468|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4276,f669,f672,f4252,f4255,f4273,f3027])).
% 14.25/2.17 fof(f4278,plain,(
% 14.25/2.17 spl0_469 <=> v1_membered(sk0_3(sk0_44,sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4281,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|v1_membered(sk0_3(sk0_44,sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f207])).
% 14.25/2.17 fof(f4282,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_463|~spl0_464|spl0_469|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4281,f669,f672,f4252,f4255,f4278,f3027])).
% 14.25/2.17 fof(f4283,plain,(
% 14.25/2.17 spl0_470 <=> closed_subset(sk0_3(sk0_44,sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4288,plain,(
% 14.25/2.17 spl0_471 <=> empty(sk0_3(sk0_44,sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4291,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~open_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|empty(sk0_3(sk0_44,sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f204])).
% 14.25/2.17 fof(f4292,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_463|~spl0_464|spl0_471|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4291,f669,f672,f4252,f4255,f4288,f3027])).
% 14.25/2.17 fof(f4293,plain,(
% 14.25/2.17 spl0_472 <=> boundary_set(sk0_3(sk0_44,sk0_43),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4296,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~closed_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~boundary_set(sk0_3(sk0_44,sk0_43),sk0_43)|nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f196])).
% 14.25/2.17 fof(f4297,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_470|~spl0_472|spl0_464|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4296,f669,f672,f4283,f4293,f4255,f3027])).
% 14.25/2.17 fof(f4298,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|boundary_set(sk0_3(sk0_44,sk0_43),sk0_43)|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f190])).
% 14.25/2.17 fof(f4299,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_464|spl0_472|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4298,f669,f672,f4255,f4293,f3027])).
% 14.25/2.17 fof(f4300,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_3(sk0_44,sk0_43))|nowhere_dense(sk0_3(sk0_44,sk0_43),sk0_43)|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f185])).
% 14.25/2.17 fof(f4301,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_471|spl0_464|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4300,f669,f672,f4288,f4255,f3027])).
% 14.25/2.17 fof(f4304,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_3(sk0_44,sk0_43))|closed_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f167])).
% 14.25/2.17 fof(f4305,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_471|spl0_470|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4304,f669,f672,f4288,f4283,f3027])).
% 14.25/2.17 fof(f4306,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~empty(sk0_3(sk0_44,sk0_43))|open_subset(sk0_3(sk0_44,sk0_43),sk0_43)|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f166])).
% 14.25/2.17 fof(f4307,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_471|spl0_463|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4306,f669,f672,f4288,f4252,f3027])).
% 14.25/2.17 fof(f4309,plain,(
% 14.25/2.17 empty(sk0_3(sk0_44,sk0_43))|~empty(the_carrier(sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f1369])).
% 14.25/2.17 fof(f4310,plain,(
% 14.25/2.17 spl0_471|~spl0_2|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4309,f4288,f650,f3027])).
% 14.25/2.17 fof(f4311,plain,(
% 14.25/2.17 spl0_473 <=> element(sk0_5(sk0_3(sk0_44,sk0_43)),the_carrier(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4314,plain,(
% 14.25/2.17 empty(sk0_3(sk0_44,sk0_43))|element(sk0_5(sk0_3(sk0_44,sk0_43)),the_carrier(sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f1368])).
% 14.25/2.17 fof(f4315,plain,(
% 14.25/2.17 spl0_471|spl0_473|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4314,f4288,f4311,f3027])).
% 14.25/2.17 fof(f4316,plain,(
% 14.25/2.17 spl0_474 <=> finite(sk0_3(sk0_44,sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4319,plain,(
% 14.25/2.17 ~finite(the_carrier(sk0_43))|finite(sk0_3(sk0_44,sk0_43))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f173])).
% 14.25/2.17 fof(f4320,plain,(
% 14.25/2.17 ~spl0_104|spl0_474|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4319,f1188,f4316,f3027])).
% 14.25/2.17 fof(f4321,plain,(
% 14.25/2.17 spl0_475 <=> in(sk0_3(sk0_44,sk0_43),powerset(the_carrier(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4324,plain,(
% 14.25/2.17 empty(powerset(the_carrier(sk0_43)))|in(sk0_3(sk0_44,sk0_43),powerset(the_carrier(sk0_43)))|~spl0_337),
% 14.25/2.17 inference(resolution,[status(thm)],[f3028,f609])).
% 14.25/2.17 fof(f4325,plain,(
% 14.25/2.17 spl0_21|spl0_475|~spl0_337),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4324,f742,f4321,f3027])).
% 14.25/2.17 fof(f4342,plain,(
% 14.25/2.17 spl0_477 <=> in(powerset(sk0_14),empty_set)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4345,plain,(
% 14.25/2.17 empty(powerset(sk0_14))|~in(powerset(sk0_14),empty_set)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3524,f1371])).
% 14.25/2.17 fof(f4346,plain,(
% 14.25/2.17 spl0_430|~spl0_477),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4345,f4046,f4342])).
% 14.25/2.17 fof(f4347,plain,(
% 14.25/2.17 spl0_478 <=> in(empty_set,powerset(sk0_14))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4350,plain,(
% 14.25/2.17 empty(powerset(sk0_14))|in(empty_set,powerset(sk0_14))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3524,f1367])).
% 14.25/2.17 fof(f4351,plain,(
% 14.25/2.17 spl0_430|spl0_478),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4350,f4046,f4347])).
% 14.25/2.17 fof(f4352,plain,(
% 14.25/2.17 element(empty_set,powerset(sk0_14))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3524,f253])).
% 14.25/2.17 fof(f4368,plain,(
% 14.25/2.17 spl0_480 <=> in(powerset(empty_set),empty_set)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4371,plain,(
% 14.25/2.17 empty(powerset(empty_set))|~in(powerset(empty_set),empty_set)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3534,f1371])).
% 14.25/2.17 fof(f4372,plain,(
% 14.25/2.17 spl0_435|~spl0_480),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4371,f4076,f4368])).
% 14.25/2.17 fof(f4373,plain,(
% 14.25/2.17 spl0_481 <=> in(empty_set,powerset(empty_set))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4376,plain,(
% 14.25/2.17 empty(powerset(empty_set))|in(empty_set,powerset(empty_set))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3534,f1367])).
% 14.25/2.17 fof(f4377,plain,(
% 14.25/2.17 spl0_435|spl0_481),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4376,f4076,f4373])).
% 14.25/2.17 fof(f4396,plain,(
% 14.25/2.17 spl0_483 <=> in(powerset(empty_set),sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4399,plain,(
% 14.25/2.17 empty(powerset(empty_set))|~in(powerset(empty_set),sk0_14)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3900,f1371])).
% 14.25/2.17 fof(f4400,plain,(
% 14.25/2.17 spl0_435|~spl0_483),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4399,f4076,f4396])).
% 14.25/2.17 fof(f4401,plain,(
% 14.25/2.17 spl0_484 <=> in(sk0_14,powerset(empty_set))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4404,plain,(
% 14.25/2.17 empty(powerset(empty_set))|in(sk0_14,powerset(empty_set))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3900,f1367])).
% 14.25/2.17 fof(f4405,plain,(
% 14.25/2.17 spl0_435|spl0_484),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4404,f4076,f4401])).
% 14.25/2.17 fof(f4420,plain,(
% 14.25/2.17 spl0_486 <=> in(powerset(sk0_14),sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4423,plain,(
% 14.25/2.17 empty(powerset(sk0_14))|~in(powerset(sk0_14),sk0_14)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3901,f1371])).
% 14.25/2.17 fof(f4424,plain,(
% 14.25/2.17 spl0_430|~spl0_486),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4423,f4046,f4420])).
% 14.25/2.17 fof(f4425,plain,(
% 14.25/2.17 spl0_487 <=> in(sk0_14,powerset(sk0_14))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4428,plain,(
% 14.25/2.17 empty(powerset(sk0_14))|in(sk0_14,powerset(sk0_14))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3901,f1367])).
% 14.25/2.17 fof(f4429,plain,(
% 14.25/2.17 spl0_430|spl0_487),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4428,f4046,f4425])).
% 14.25/2.17 fof(f4442,plain,(
% 14.25/2.17 spl0_490 <=> empty(powerset(sk0_45))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4443,plain,(
% 14.25/2.17 empty(powerset(sk0_45))|~spl0_490),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4442])).
% 14.25/2.17 fof(f4445,plain,(
% 14.25/2.17 spl0_491 <=> in(powerset(sk0_45),sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4448,plain,(
% 14.25/2.17 empty(powerset(sk0_45))|~in(powerset(sk0_45),sk0_14)|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f4024,f1371])).
% 14.25/2.17 fof(f4449,plain,(
% 14.25/2.17 spl0_490|~spl0_491|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4448,f4442,f4445,f1139])).
% 14.25/2.17 fof(f4450,plain,(
% 14.25/2.17 spl0_492 <=> in(sk0_14,powerset(sk0_45))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4453,plain,(
% 14.25/2.17 empty(powerset(sk0_45))|in(sk0_14,powerset(sk0_45))|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f4024,f1367])).
% 14.25/2.17 fof(f4454,plain,(
% 14.25/2.17 spl0_490|spl0_492|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4453,f4442,f4450,f1139])).
% 14.25/2.17 fof(f4456,plain,(
% 14.25/2.17 $false|~spl0_490),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4443,f267])).
% 14.25/2.17 fof(f4457,plain,(
% 14.25/2.17 ~spl0_490),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f4456])).
% 14.25/2.17 fof(f4470,plain,(
% 14.25/2.17 spl0_494 <=> in(powerset(sk0_45),sk0_45)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4473,plain,(
% 14.25/2.17 empty(powerset(sk0_45))|~in(powerset(sk0_45),sk0_45)|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f4025,f1371])).
% 14.25/2.17 fof(f4474,plain,(
% 14.25/2.17 spl0_490|~spl0_494|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4473,f4442,f4470,f1139])).
% 14.25/2.17 fof(f4475,plain,(
% 14.25/2.17 spl0_495 <=> in(sk0_45,powerset(sk0_45))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4478,plain,(
% 14.25/2.17 empty(powerset(sk0_45))|in(sk0_45,powerset(sk0_45))|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f4025,f1367])).
% 14.25/2.17 fof(f4479,plain,(
% 14.25/2.17 spl0_490|spl0_495|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4478,f4442,f4475,f1139])).
% 14.25/2.17 fof(f4495,plain,(
% 14.25/2.17 spl0_497 <=> in(powerset(sk0_45),empty_set)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4498,plain,(
% 14.25/2.17 empty(powerset(sk0_45))|~in(powerset(sk0_45),empty_set)|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f4031,f1371])).
% 14.25/2.17 fof(f4499,plain,(
% 14.25/2.17 spl0_490|~spl0_497|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4498,f4442,f4495,f1139])).
% 14.25/2.17 fof(f4500,plain,(
% 14.25/2.17 spl0_498 <=> in(empty_set,powerset(sk0_45))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4503,plain,(
% 14.25/2.17 empty(powerset(sk0_45))|in(empty_set,powerset(sk0_45))|~spl0_97),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f4031,f1367])).
% 14.25/2.17 fof(f4504,plain,(
% 14.25/2.17 spl0_490|spl0_498|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4503,f4442,f4500,f1139])).
% 14.25/2.17 fof(f4514,plain,(
% 14.25/2.17 spl0_499 <=> empty(empty_set)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4517,plain,(
% 14.25/2.17 spl0_500 <=> empty(sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4519,plain,(
% 14.25/2.17 ~empty(sk0_14)|spl0_500),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4517])).
% 14.25/2.17 fof(f4520,plain,(
% 14.25/2.17 empty(empty_set)|~empty(sk0_14)),
% 14.25/2.17 inference(resolution,[status(thm)],[f4352,f1369])).
% 14.25/2.17 fof(f4521,plain,(
% 14.25/2.17 spl0_499|~spl0_500),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4520,f4514,f4517])).
% 14.25/2.17 fof(f4524,plain,(
% 14.25/2.17 spl0_501 <=> finite(sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4526,plain,(
% 14.25/2.17 ~finite(sk0_14)|spl0_501),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4524])).
% 14.25/2.17 fof(f4527,plain,(
% 14.25/2.17 spl0_502 <=> finite(empty_set)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4530,plain,(
% 14.25/2.17 ~finite(sk0_14)|finite(empty_set)),
% 14.25/2.17 inference(resolution,[status(thm)],[f4352,f173])).
% 14.25/2.17 fof(f4531,plain,(
% 14.25/2.17 ~spl0_501|spl0_502),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4530,f4524,f4527])).
% 14.25/2.17 fof(f4535,plain,(
% 14.25/2.17 $false|spl0_501),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4526,f1005])).
% 14.25/2.17 fof(f4536,plain,(
% 14.25/2.17 spl0_501),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f4535])).
% 14.25/2.17 fof(f4537,plain,(
% 14.25/2.17 $false|spl0_500),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4519,f426])).
% 14.25/2.17 fof(f4538,plain,(
% 14.25/2.17 spl0_500),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f4537])).
% 14.25/2.17 fof(f4626,plain,(
% 14.25/2.17 ![X0]: (element(sk0_36(sk0_43),powerset(X0))|~spl0_137)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f1971,f484])).
% 14.25/2.17 fof(f4627,plain,(
% 14.25/2.17 ![X0]: (element(sk0_33(sk0_43),powerset(X0)))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f1908,f484])).
% 14.25/2.17 fof(f4630,plain,(
% 14.25/2.17 ![X0]: (element(sk0_14,powerset(X0)))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f1498,f484])).
% 14.25/2.17 fof(f4631,plain,(
% 14.25/2.17 ![X0]: (element(empty_set,powerset(X0)))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f1461,f484])).
% 14.25/2.17 fof(f4647,plain,(
% 14.25/2.17 spl0_503 <=> ~topological_space(X0)|~top_str(X0)|~open_subset(sk0_14,X0)|~nowhere_dense(sk0_14,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4648,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~open_subset(sk0_14,X0)|~nowhere_dense(sk0_14,X0)|~spl0_503)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4647])).
% 14.25/2.17 fof(f4650,plain,(
% 14.25/2.17 spl0_504 <=> v5_membered(sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4653,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~open_subset(sk0_14,X0)|~nowhere_dense(sk0_14,X0)|v5_membered(sk0_14))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f211])).
% 14.25/2.17 fof(f4654,plain,(
% 14.25/2.17 spl0_503|spl0_504),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4653,f4647,f4650])).
% 14.25/2.17 fof(f4655,plain,(
% 14.25/2.17 spl0_505 <=> v4_membered(sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4658,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~open_subset(sk0_14,X0)|~nowhere_dense(sk0_14,X0)|v4_membered(sk0_14))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f210])).
% 14.25/2.17 fof(f4659,plain,(
% 14.25/2.17 spl0_503|spl0_505),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4658,f4647,f4655])).
% 14.25/2.17 fof(f4660,plain,(
% 14.25/2.17 spl0_506 <=> v3_membered(sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4663,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~open_subset(sk0_14,X0)|~nowhere_dense(sk0_14,X0)|v3_membered(sk0_14))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f209])).
% 14.25/2.17 fof(f4664,plain,(
% 14.25/2.17 spl0_503|spl0_506),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4663,f4647,f4660])).
% 14.25/2.17 fof(f4665,plain,(
% 14.25/2.17 spl0_507 <=> v2_membered(sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4668,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~open_subset(sk0_14,X0)|~nowhere_dense(sk0_14,X0)|v2_membered(sk0_14))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f208])).
% 14.25/2.17 fof(f4669,plain,(
% 14.25/2.17 spl0_503|spl0_507),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4668,f4647,f4665])).
% 14.25/2.17 fof(f4670,plain,(
% 14.25/2.17 spl0_508 <=> v1_membered(sk0_14)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4673,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~open_subset(sk0_14,X0)|~nowhere_dense(sk0_14,X0)|v1_membered(sk0_14))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f207])).
% 14.25/2.17 fof(f4674,plain,(
% 14.25/2.17 spl0_503|spl0_508),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4673,f4647,f4670])).
% 14.25/2.17 fof(f4680,plain,(
% 14.25/2.17 spl0_509 <=> ~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_14,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4681,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_14,X0)|~spl0_509)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4680])).
% 14.25/2.17 fof(f4683,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_14)|nowhere_dense(sk0_14,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f185])).
% 14.25/2.17 fof(f4684,plain,(
% 14.25/2.17 spl0_509|~spl0_500),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4683,f4680,f4517])).
% 14.25/2.17 fof(f4685,plain,(
% 14.25/2.17 spl0_510 <=> ~top_str(X0)|boundary_set(sk0_14,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4688,plain,(
% 14.25/2.17 ![X0]: (~top_str(X0)|~empty(sk0_14)|boundary_set(sk0_14,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f177])).
% 14.25/2.17 fof(f4689,plain,(
% 14.25/2.17 spl0_510|~spl0_500),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4688,f4685,f4517])).
% 14.25/2.17 fof(f4690,plain,(
% 14.25/2.17 spl0_511 <=> ~topological_space(X0)|~top_str(X0)|closed_subset(sk0_14,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4691,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_14,X0)|~spl0_511)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4690])).
% 14.25/2.17 fof(f4693,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_14)|closed_subset(sk0_14,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f167])).
% 14.25/2.17 fof(f4694,plain,(
% 14.25/2.17 spl0_511|~spl0_500),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4693,f4690,f4517])).
% 14.25/2.17 fof(f4695,plain,(
% 14.25/2.17 spl0_512 <=> ~topological_space(X0)|~top_str(X0)|open_subset(sk0_14,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4696,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|open_subset(sk0_14,X0)|~spl0_512)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4695])).
% 14.25/2.17 fof(f4698,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_14)|open_subset(sk0_14,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4630,f166])).
% 14.25/2.17 fof(f4699,plain,(
% 14.25/2.17 spl0_512|~spl0_500),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4698,f4695,f4517])).
% 14.25/2.17 fof(f4702,plain,(
% 14.25/2.17 spl0_513 <=> ~empty(X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4703,plain,(
% 14.25/2.17 ![X0]: (~empty(X0)|~spl0_513)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4702])).
% 14.25/2.17 fof(f4712,plain,(
% 14.25/2.17 spl0_515 <=> ~finite(X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4713,plain,(
% 14.25/2.17 ![X0]: (~finite(X0)|~spl0_515)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4712])).
% 14.25/2.17 fof(f4730,plain,(
% 14.25/2.17 spl0_516 <=> nowhere_dense(sk0_14,sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4733,plain,(
% 14.25/2.17 ~topological_space(sk0_1)|nowhere_dense(sk0_14,sk0_1)|~spl0_509),
% 14.25/2.17 inference(resolution,[status(thm)],[f4681,f244])).
% 14.25/2.17 fof(f4734,plain,(
% 14.25/2.17 ~spl0_121|spl0_516|~spl0_509),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4733,f1375,f4730,f4680])).
% 14.25/2.17 fof(f4735,plain,(
% 14.25/2.17 spl0_517 <=> nowhere_dense(sk0_14,sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4738,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|nowhere_dense(sk0_14,sk0_43)|~spl0_509),
% 14.25/2.17 inference(resolution,[status(thm)],[f4681,f624])).
% 14.25/2.17 fof(f4739,plain,(
% 14.25/2.17 ~spl0_6|spl0_517|~spl0_509),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4738,f669,f4735,f4680])).
% 14.25/2.17 fof(f4740,plain,(
% 14.25/2.17 spl0_518 <=> closed_subset(sk0_14,sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4743,plain,(
% 14.25/2.17 ~topological_space(sk0_1)|closed_subset(sk0_14,sk0_1)|~spl0_511),
% 14.25/2.17 inference(resolution,[status(thm)],[f4691,f244])).
% 14.25/2.17 fof(f4744,plain,(
% 14.25/2.17 ~spl0_121|spl0_518|~spl0_511),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4743,f1375,f4740,f4690])).
% 14.25/2.17 fof(f4745,plain,(
% 14.25/2.17 spl0_519 <=> closed_subset(sk0_14,sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4748,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|closed_subset(sk0_14,sk0_43)|~spl0_511),
% 14.25/2.17 inference(resolution,[status(thm)],[f4691,f624])).
% 14.25/2.17 fof(f4749,plain,(
% 14.25/2.17 ~spl0_6|spl0_519|~spl0_511),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4748,f669,f4745,f4690])).
% 14.25/2.17 fof(f4750,plain,(
% 14.25/2.17 spl0_520 <=> open_subset(sk0_14,sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4753,plain,(
% 14.25/2.17 ~topological_space(sk0_1)|open_subset(sk0_14,sk0_1)|~spl0_512),
% 14.25/2.17 inference(resolution,[status(thm)],[f4696,f244])).
% 14.25/2.17 fof(f4754,plain,(
% 14.25/2.17 ~spl0_121|spl0_520|~spl0_512),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4753,f1375,f4750,f4695])).
% 14.25/2.17 fof(f4755,plain,(
% 14.25/2.17 spl0_521 <=> open_subset(sk0_14,sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4758,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|open_subset(sk0_14,sk0_43)|~spl0_512),
% 14.25/2.17 inference(resolution,[status(thm)],[f4696,f624])).
% 14.25/2.17 fof(f4759,plain,(
% 14.25/2.17 ~spl0_6|spl0_521|~spl0_512),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4758,f669,f4755,f4695])).
% 14.25/2.17 fof(f4760,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~nowhere_dense(sk0_14,X0)|~spl0_512|~spl0_503)),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4648,f4696])).
% 14.25/2.17 fof(f4762,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|~top_str(sk0_43)|~spl0_512|~spl0_503|~spl0_161|~spl0_137),
% 14.25/2.17 inference(resolution,[status(thm)],[f4760,f2136])).
% 14.25/2.17 fof(f4763,plain,(
% 14.25/2.17 ~spl0_6|~spl0_7|~spl0_512|~spl0_503|~spl0_161|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4762,f669,f672,f4695,f4647,f1711,f1591])).
% 14.25/2.17 fof(f4802,plain,(
% 14.25/2.17 spl0_528 <=> ~topological_space(X0)|~top_str(X0)|nowhere_dense(empty_set,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4805,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(empty_set)|nowhere_dense(empty_set,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4631,f185])).
% 14.25/2.17 fof(f4806,plain,(
% 14.25/2.17 spl0_528|~spl0_499),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4805,f4802,f4514])).
% 14.25/2.17 fof(f4807,plain,(
% 14.25/2.17 spl0_529 <=> ~top_str(X0)|boundary_set(empty_set,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4810,plain,(
% 14.25/2.17 ![X0]: (~top_str(X0)|~empty(empty_set)|boundary_set(empty_set,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4631,f177])).
% 14.25/2.17 fof(f4811,plain,(
% 14.25/2.17 spl0_529|~spl0_499),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4810,f4807,f4514])).
% 14.25/2.17 fof(f4812,plain,(
% 14.25/2.17 spl0_530 <=> ~topological_space(X0)|~top_str(X0)|closed_subset(empty_set,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4815,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(empty_set)|closed_subset(empty_set,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4631,f167])).
% 14.25/2.17 fof(f4816,plain,(
% 14.25/2.17 spl0_530|~spl0_499),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4815,f4812,f4514])).
% 14.25/2.17 fof(f4817,plain,(
% 14.25/2.17 spl0_531 <=> ~topological_space(X0)|~top_str(X0)|open_subset(empty_set,X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4820,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(empty_set)|open_subset(empty_set,X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4631,f166])).
% 14.25/2.17 fof(f4821,plain,(
% 14.25/2.17 spl0_531|~spl0_499),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4820,f4817,f4514])).
% 14.25/2.17 fof(f4854,plain,(
% 14.25/2.17 empty_carrier(sk0_20)|~rel_str(sk0_20)|filtered_subset(cast_as_carrier_subset(sk0_20),sk0_20)|~spl0_94),
% 14.25/2.17 inference(resolution,[status(thm)],[f328,f1117])).
% 14.25/2.17 fof(f4855,plain,(
% 14.25/2.17 spl0_78|~spl0_76|spl0_422|~spl0_94),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4854,f1034,f1024,f3994,f1116])).
% 14.25/2.17 fof(f4856,plain,(
% 14.25/2.17 empty_carrier(sk0_19)|~rel_str(sk0_19)|filtered_subset(cast_as_carrier_subset(sk0_19),sk0_19)|~spl0_58),
% 14.25/2.17 inference(resolution,[status(thm)],[f328,f908])).
% 14.25/2.17 fof(f4857,plain,(
% 14.25/2.17 spl0_54|~spl0_52|spl0_423|~spl0_58),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4856,f895,f885,f3999,f907])).
% 14.25/2.17 fof(f4858,plain,(
% 14.25/2.17 empty_carrier(sk0_13)|~rel_str(sk0_13)|filtered_subset(cast_as_carrier_subset(sk0_13),sk0_13)|~spl0_93),
% 14.25/2.17 inference(resolution,[status(thm)],[f328,f1110])).
% 14.25/2.17 fof(f4859,plain,(
% 14.25/2.17 spl0_37|~spl0_35|spl0_420|~spl0_93),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4858,f822,f812,f3984,f1109])).
% 14.25/2.17 fof(f4860,plain,(
% 14.25/2.17 empty_carrier(sk0_26)|~rel_str(sk0_26)|filtered_subset(cast_as_carrier_subset(sk0_26),sk0_26)),
% 14.25/2.17 inference(resolution,[status(thm)],[f328,f511])).
% 14.25/2.17 fof(f4861,plain,(
% 14.25/2.17 spl0_84|~spl0_83|spl0_421),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4860,f1062,f1059,f3989])).
% 14.25/2.17 fof(f4862,plain,(
% 14.25/2.17 empty_carrier(sk0_18)|~rel_str(sk0_18)|filtered_subset(cast_as_carrier_subset(sk0_18),sk0_18)),
% 14.25/2.17 inference(resolution,[status(thm)],[f328,f449])).
% 14.25/2.17 fof(f4863,plain,(
% 14.25/2.17 spl0_43|~spl0_41|spl0_424),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4862,f852,f842,f4004])).
% 14.25/2.17 fof(f4866,plain,(
% 14.25/2.17 spl0_533 <=> open_subset(cast_as_carrier_subset(sk0_1),sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4869,plain,(
% 14.25/2.17 ~topological_space(sk0_1)|open_subset(cast_as_carrier_subset(sk0_1),sk0_1)),
% 14.25/2.17 inference(resolution,[status(thm)],[f336,f244])).
% 14.25/2.17 fof(f4870,plain,(
% 14.25/2.17 ~spl0_121|spl0_533),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4869,f1375,f4866])).
% 14.25/2.17 fof(f4871,plain,(
% 14.25/2.17 ~topological_space(sk0_43)|open_subset(cast_as_carrier_subset(sk0_43),sk0_43)),
% 14.25/2.17 inference(resolution,[status(thm)],[f336,f624])).
% 14.25/2.17 fof(f4872,plain,(
% 14.25/2.17 ~spl0_6|spl0_438),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4871,f669,f4107])).
% 14.25/2.17 fof(f4876,plain,(
% 14.25/2.17 spl0_534 <=> element(sk0_5(the_carrier(sk0_43)),the_carrier(sk0_43))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4878,plain,(
% 14.25/2.17 ~element(sk0_5(the_carrier(sk0_43)),the_carrier(sk0_43))|spl0_534),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4876])).
% 14.25/2.17 fof(f4879,plain,(
% 14.25/2.17 spl0_535 <=> ~in(X0,neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))))|point_neighbourhood(sk0_7(X0,sk0_5(the_carrier(sk0_43)),sk0_43),sk0_43,sk0_5(the_carrier(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4882,plain,(
% 14.25/2.17 ![X0]: (empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_5(the_carrier(sk0_43)),the_carrier(sk0_43))|~in(X0,neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))))|point_neighbourhood(sk0_7(X0,sk0_5(the_carrier(sk0_43)),sk0_43),sk0_43,sk0_5(the_carrier(sk0_43)))|~spl0_125)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f1394,f372])).
% 14.25/2.17 fof(f4883,plain,(
% 14.25/2.17 spl0_5|~spl0_6|~spl0_7|~spl0_534|spl0_535|~spl0_125),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4882,f666,f669,f672,f4876,f4879,f1393])).
% 14.25/2.17 fof(f4884,plain,(
% 14.25/2.17 spl0_536 <=> ~in(X0,neighborhood_system(sk0_43,sk0_44))|point_neighbourhood(sk0_7(X0,sk0_44,sk0_43),sk0_43,sk0_44)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4885,plain,(
% 14.25/2.17 ![X0]: (~in(X0,neighborhood_system(sk0_43,sk0_44))|point_neighbourhood(sk0_7(X0,sk0_44,sk0_43),sk0_43,sk0_44)|~spl0_536)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4884])).
% 14.25/2.17 fof(f4887,plain,(
% 14.25/2.17 ![X0]: (empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_44,the_carrier(sk0_43))|~in(X0,neighborhood_system(sk0_43,sk0_44))|point_neighbourhood(sk0_7(X0,sk0_44,sk0_43),sk0_43,sk0_44)|~spl0_8)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f676,f372])).
% 14.25/2.17 fof(f4888,plain,(
% 14.25/2.17 spl0_5|~spl0_6|~spl0_7|~spl0_19|spl0_536|~spl0_8),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4887,f666,f669,f672,f732,f4884,f675])).
% 14.25/2.17 fof(f4889,plain,(
% 14.25/2.17 $false|spl0_534),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4878,f253])).
% 14.25/2.17 fof(f4890,plain,(
% 14.25/2.17 spl0_534),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f4889])).
% 14.25/2.17 fof(f4892,plain,(
% 14.25/2.17 spl0_537 <=> ~in(X0,neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))))|X0=sk0_7(X0,sk0_5(the_carrier(sk0_43)),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4895,plain,(
% 14.25/2.17 ![X0]: (empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_5(the_carrier(sk0_43)),the_carrier(sk0_43))|~in(X0,neighborhood_system(sk0_43,sk0_5(the_carrier(sk0_43))))|X0=sk0_7(X0,sk0_5(the_carrier(sk0_43)),sk0_43)|~spl0_125)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f1394,f373])).
% 14.25/2.17 fof(f4896,plain,(
% 14.25/2.17 spl0_5|~spl0_6|~spl0_7|~spl0_534|spl0_537|~spl0_125),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4895,f666,f669,f672,f4876,f4892,f1393])).
% 14.25/2.17 fof(f4897,plain,(
% 14.25/2.17 spl0_538 <=> ~in(X0,neighborhood_system(sk0_43,sk0_44))|X0=sk0_7(X0,sk0_44,sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4898,plain,(
% 14.25/2.17 ![X0]: (~in(X0,neighborhood_system(sk0_43,sk0_44))|X0=sk0_7(X0,sk0_44,sk0_43)|~spl0_538)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f4897])).
% 14.25/2.17 fof(f4900,plain,(
% 14.25/2.17 ![X0]: (empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_44,the_carrier(sk0_43))|~in(X0,neighborhood_system(sk0_43,sk0_44))|X0=sk0_7(X0,sk0_44,sk0_43)|~spl0_8)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f676,f373])).
% 14.25/2.17 fof(f4901,plain,(
% 14.25/2.17 spl0_5|~spl0_6|~spl0_7|~spl0_19|spl0_538|~spl0_8),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4900,f666,f669,f672,f732,f4897,f675])).
% 14.25/2.17 fof(f4902,plain,(
% 14.25/2.17 spl0_539 <=> in(X0,a_2_0_yellow19(sk0_43,sk0_44))|~X0=sk0_3(sk0_44,sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4905,plain,(
% 14.25/2.17 ![X0]: (empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_44,the_carrier(sk0_43))|in(X0,a_2_0_yellow19(sk0_43,sk0_44))|~X0=sk0_3(sk0_44,sk0_43)|~spl0_318)),
% 14.25/2.17 inference(resolution,[status(thm)],[f374,f2898])).
% 14.25/2.17 fof(f4906,plain,(
% 14.25/2.17 spl0_5|~spl0_6|~spl0_7|~spl0_19|spl0_539|~spl0_318),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4905,f666,f669,f672,f732,f4902,f2897])).
% 14.25/2.17 fof(f4914,plain,(
% 14.25/2.17 spl0_541 <=> element(sk0_8(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4917,plain,(
% 14.25/2.17 empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|~rel_str(sk0_26)|element(sk0_8(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f380,f506])).
% 14.25/2.17 fof(f4918,plain,(
% 14.25/2.17 spl0_84|~spl0_85|~spl0_83|spl0_541),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4917,f1062,f1065,f1059,f4914])).
% 14.25/2.17 fof(f4919,plain,(
% 14.25/2.17 spl0_542 <=> element(sk0_8(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4922,plain,(
% 14.25/2.17 empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|~rel_str(sk0_20)|element(sk0_8(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f380,f475])).
% 14.25/2.17 fof(f4923,plain,(
% 14.25/2.17 spl0_78|~spl0_79|~spl0_76|spl0_542),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4922,f1034,f1037,f1024,f4919])).
% 14.25/2.17 fof(f4924,plain,(
% 14.25/2.17 spl0_543 <=> element(sk0_8(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4927,plain,(
% 14.25/2.17 empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|~rel_str(sk0_19)|element(sk0_8(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f380,f464])).
% 14.25/2.17 fof(f4928,plain,(
% 14.25/2.17 spl0_54|~spl0_55|~spl0_52|spl0_543),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4927,f895,f898,f885,f4924])).
% 14.25/2.17 fof(f4929,plain,(
% 14.25/2.17 spl0_544 <=> element(sk0_8(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4932,plain,(
% 14.25/2.17 empty_carrier(sk0_18)|~reflexive_relstr(sk0_18)|~rel_str(sk0_18)|element(sk0_8(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f380,f447])).
% 14.25/2.17 fof(f4933,plain,(
% 14.25/2.17 spl0_43|~spl0_44|~spl0_41|spl0_544),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4932,f852,f855,f842,f4929])).
% 14.25/2.17 fof(f4934,plain,(
% 14.25/2.17 spl0_545 <=> element(sk0_8(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4937,plain,(
% 14.25/2.17 empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|~rel_str(sk0_13)|element(sk0_8(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f380,f422])).
% 14.25/2.17 fof(f4938,plain,(
% 14.25/2.17 spl0_37|~spl0_38|~spl0_35|spl0_545),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4937,f822,f825,f812,f4934])).
% 14.25/2.17 fof(f4939,plain,(
% 14.25/2.17 spl0_546 <=> element(sk0_8(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4942,plain,(
% 14.25/2.17 empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~rel_str(sk0_11)|element(sk0_8(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f380,f404])).
% 14.25/2.17 fof(f4943,plain,(
% 14.25/2.17 spl0_25|~spl0_26|~spl0_23|spl0_546),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4942,f760,f763,f750,f4939])).
% 14.25/2.17 fof(f4944,plain,(
% 14.25/2.17 spl0_547 <=> element(sk0_8(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4947,plain,(
% 14.25/2.17 empty_carrier(sk0_10)|~reflexive_relstr(sk0_10)|~rel_str(sk0_10)|element(sk0_8(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f380,f396])).
% 14.25/2.17 fof(f4948,plain,(
% 14.25/2.17 spl0_70|~spl0_71|~spl0_69|spl0_547),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4947,f977,f980,f974,f4944])).
% 14.25/2.17 fof(f4951,plain,(
% 14.25/2.17 spl0_548 <=> element(sk0_9(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4954,plain,(
% 14.25/2.17 ~reflexive_relstr(sk0_13)|~transitive_relstr(sk0_13)|~antisymmetric_relstr(sk0_13)|~with_suprema_relstr(sk0_13)|~rel_str(sk0_13)|element(sk0_9(sk0_13),powerset(the_carrier(sk0_13)))|~spl0_68),
% 14.25/2.17 inference(resolution,[status(thm)],[f386,f968])).
% 14.25/2.17 fof(f4955,plain,(
% 14.25/2.17 ~spl0_38|~spl0_290|~spl0_118|~spl0_103|~spl0_35|spl0_548|~spl0_68),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4954,f825,f2733,f1333,f1171,f812,f4951,f967])).
% 14.25/2.17 fof(f4956,plain,(
% 14.25/2.17 spl0_549 <=> element(sk0_9(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4959,plain,(
% 14.25/2.17 ~reflexive_relstr(sk0_26)|~transitive_relstr(sk0_26)|~antisymmetric_relstr(sk0_26)|~with_suprema_relstr(sk0_26)|~rel_str(sk0_26)|element(sk0_9(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f386,f509])).
% 14.25/2.17 fof(f4960,plain,(
% 14.25/2.17 ~spl0_85|~spl0_292|~spl0_89|~spl0_90|~spl0_83|spl0_549),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4959,f1065,f2741,f1089,f1092,f1059,f4956])).
% 14.25/2.17 fof(f4961,plain,(
% 14.25/2.17 spl0_550 <=> element(sk0_9(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4964,plain,(
% 14.25/2.17 ~reflexive_relstr(sk0_20)|~transitive_relstr(sk0_20)|~antisymmetric_relstr(sk0_20)|~with_suprema_relstr(sk0_20)|~rel_str(sk0_20)|element(sk0_9(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f386,f478])).
% 14.25/2.17 fof(f4965,plain,(
% 14.25/2.17 ~spl0_79|~spl0_294|~spl0_119|~spl0_102|~spl0_76|spl0_550),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4964,f1037,f2749,f1338,f1164,f1024,f4961])).
% 14.25/2.17 fof(f4966,plain,(
% 14.25/2.17 spl0_551 <=> element(sk0_9(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4969,plain,(
% 14.25/2.17 ~reflexive_relstr(sk0_19)|~transitive_relstr(sk0_19)|~antisymmetric_relstr(sk0_19)|~with_suprema_relstr(sk0_19)|~rel_str(sk0_19)|element(sk0_9(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f386,f467])).
% 14.25/2.17 fof(f4970,plain,(
% 14.25/2.17 ~spl0_55|~spl0_56|~spl0_57|~spl0_96|~spl0_52|spl0_551),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4969,f898,f901,f904,f1126,f885,f4966])).
% 14.25/2.17 fof(f4971,plain,(
% 14.25/2.17 spl0_552 <=> element(sk0_9(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4974,plain,(
% 14.25/2.17 ~reflexive_relstr(sk0_18)|~transitive_relstr(sk0_18)|~antisymmetric_relstr(sk0_18)|~with_suprema_relstr(sk0_18)|~rel_str(sk0_18)|element(sk0_9(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f386,f458])).
% 14.25/2.17 fof(f4975,plain,(
% 14.25/2.17 ~spl0_44|~spl0_45|~spl0_46|~spl0_74|~spl0_41|spl0_552),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4974,f855,f858,f861,f995,f842,f4971])).
% 14.25/2.17 fof(f4976,plain,(
% 14.25/2.17 spl0_553 <=> element(sk0_9(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f4979,plain,(
% 14.25/2.17 ~reflexive_relstr(sk0_11)|~transitive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~with_suprema_relstr(sk0_11)|~rel_str(sk0_11)|element(sk0_9(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f386,f407])).
% 14.25/2.17 fof(f4980,plain,(
% 14.25/2.17 ~spl0_26|~spl0_29|~spl0_30|~spl0_75|~spl0_23|spl0_553),
% 14.25/2.17 inference(split_clause,[status(thm)],[f4979,f763,f780,f783,f1000,f750,f4976])).
% 14.25/2.17 fof(f4999,plain,(
% 14.25/2.17 ![X0]: (empty(X0)|~finite(X0)|finite(sk0_15(X0)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f430,f173])).
% 14.25/2.17 fof(f5002,plain,(
% 14.25/2.17 point_neighbourhood(sk0_7(sk0_45,sk0_44,sk0_43),sk0_43,sk0_44)|~spl0_536|~spl0_0),
% 14.25/2.17 inference(resolution,[status(thm)],[f4885,f643])).
% 14.25/2.17 fof(f5051,plain,(
% 14.25/2.17 spl0_559 <=> ~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_36(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5054,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_36(sk0_43))|nowhere_dense(sk0_36(sk0_43),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f4626,f185])).
% 14.25/2.17 fof(f5055,plain,(
% 14.25/2.17 spl0_559|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5054,f5051,f1591])).
% 14.25/2.17 fof(f5056,plain,(
% 14.25/2.17 spl0_560 <=> ~top_str(X0)|boundary_set(sk0_36(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5059,plain,(
% 14.25/2.17 ![X0]: (~top_str(X0)|~empty(sk0_36(sk0_43))|boundary_set(sk0_36(sk0_43),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f4626,f177])).
% 14.25/2.17 fof(f5060,plain,(
% 14.25/2.17 spl0_560|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5059,f5056,f1591])).
% 14.25/2.17 fof(f5061,plain,(
% 14.25/2.17 spl0_561 <=> ~topological_space(X0)|~top_str(X0)|closed_subset(sk0_36(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5064,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_36(sk0_43))|closed_subset(sk0_36(sk0_43),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f4626,f167])).
% 14.25/2.17 fof(f5065,plain,(
% 14.25/2.17 spl0_561|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5064,f5061,f1591])).
% 14.25/2.17 fof(f5066,plain,(
% 14.25/2.17 spl0_562 <=> ~topological_space(X0)|~top_str(X0)|open_subset(sk0_36(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5069,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_36(sk0_43))|open_subset(sk0_36(sk0_43),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f4626,f166])).
% 14.25/2.17 fof(f5070,plain,(
% 14.25/2.17 spl0_562|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5069,f5066,f1591])).
% 14.25/2.17 fof(f5080,plain,(
% 14.25/2.17 ![X0]: (~finite(X0)|finite(sk0_36(sk0_43))|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f4626,f173])).
% 14.25/2.17 fof(f5081,plain,(
% 14.25/2.17 spl0_515|spl0_376|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5080,f4712,f3455,f1591])).
% 14.25/2.17 fof(f5084,plain,(
% 14.25/2.17 ![X0]: (element(sk0_33(sk0_1),powerset(X0))|~spl0_137)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3798,f4626])).
% 14.25/2.17 fof(f5088,plain,(
% 14.25/2.17 ![X0,X1]: (element(sk0_22(X0),powerset(X1))|~spl0_137)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f1971,f4626])).
% 14.25/2.17 fof(f5098,plain,(
% 14.25/2.17 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_22(X1))|nowhere_dense(sk0_22(X1),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5088,f185])).
% 14.25/2.17 fof(f5099,plain,(
% 14.25/2.17 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_22(X1),X0)|~spl0_137)),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f5098,f485])).
% 14.25/2.17 fof(f5102,plain,(
% 14.25/2.17 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_22(X1))|closed_subset(sk0_22(X1),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5088,f167])).
% 14.25/2.17 fof(f5103,plain,(
% 14.25/2.17 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|closed_subset(sk0_22(X1),X0)|~spl0_137)),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f5102,f485])).
% 14.25/2.17 fof(f5104,plain,(
% 14.25/2.17 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_22(X1))|open_subset(sk0_22(X1),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5088,f166])).
% 14.25/2.17 fof(f5105,plain,(
% 14.25/2.17 ![X0,X1]: (~topological_space(X0)|~top_str(X0)|open_subset(sk0_22(X1),X0)|~spl0_137)),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f5104,f485])).
% 14.25/2.17 fof(f5108,plain,(
% 14.25/2.17 spl0_564 <=> empty(sk0_22(X0))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5111,plain,(
% 14.25/2.17 ![X0,X1]: (empty(sk0_22(X0))|~empty(X1)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5088,f1369])).
% 14.25/2.17 fof(f5112,plain,(
% 14.25/2.17 spl0_564|spl0_513|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5111,f5108,f4702,f1591])).
% 14.25/2.17 fof(f5114,plain,(
% 14.25/2.17 spl0_565 <=> finite(sk0_22(X1))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5117,plain,(
% 14.25/2.17 ![X0,X1]: (~finite(X0)|finite(sk0_22(X1))|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5088,f173])).
% 14.25/2.17 fof(f5118,plain,(
% 14.25/2.17 spl0_515|spl0_565|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5117,f4712,f5114,f1591])).
% 14.25/2.17 fof(f5119,plain,(
% 14.25/2.17 ![X0,X1]: (empty(powerset(X0))|in(sk0_22(X1),powerset(X0))|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5088,f609])).
% 14.25/2.17 fof(f5120,plain,(
% 14.25/2.17 ![X0,X1]: (in(sk0_22(X0),powerset(X1))|~spl0_137)),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f5119,f267])).
% 14.25/2.17 fof(f5135,plain,(
% 14.25/2.17 spl0_566 <=> nowhere_dense(sk0_22(X0),sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5138,plain,(
% 14.25/2.17 ![X0]: (~topological_space(sk0_1)|nowhere_dense(sk0_22(X0),sk0_1)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5099,f244])).
% 14.25/2.17 fof(f5139,plain,(
% 14.25/2.17 ~spl0_121|spl0_566|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5138,f1375,f5135,f1591])).
% 14.25/2.17 fof(f5140,plain,(
% 14.25/2.17 spl0_567 <=> nowhere_dense(sk0_22(X0),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5143,plain,(
% 14.25/2.17 ![X0]: (~topological_space(sk0_43)|nowhere_dense(sk0_22(X0),sk0_43)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5099,f624])).
% 14.25/2.17 fof(f5144,plain,(
% 14.25/2.17 ~spl0_6|spl0_567|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5143,f669,f5140,f1591])).
% 14.25/2.17 fof(f5145,plain,(
% 14.25/2.17 spl0_568 <=> closed_subset(sk0_22(X0),sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5148,plain,(
% 14.25/2.17 ![X0]: (~topological_space(sk0_1)|closed_subset(sk0_22(X0),sk0_1)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5103,f244])).
% 14.25/2.17 fof(f5149,plain,(
% 14.25/2.17 ~spl0_121|spl0_568|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5148,f1375,f5145,f1591])).
% 14.25/2.17 fof(f5150,plain,(
% 14.25/2.17 spl0_569 <=> closed_subset(sk0_22(X0),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5153,plain,(
% 14.25/2.17 ![X0]: (~topological_space(sk0_43)|closed_subset(sk0_22(X0),sk0_43)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5103,f624])).
% 14.25/2.17 fof(f5154,plain,(
% 14.25/2.17 ~spl0_6|spl0_569|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5153,f669,f5150,f1591])).
% 14.25/2.17 fof(f5155,plain,(
% 14.25/2.17 spl0_570 <=> open_subset(sk0_22(X0),sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5158,plain,(
% 14.25/2.17 ![X0]: (~topological_space(sk0_1)|open_subset(sk0_22(X0),sk0_1)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5105,f244])).
% 14.25/2.17 fof(f5159,plain,(
% 14.25/2.17 ~spl0_121|spl0_570|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5158,f1375,f5155,f1591])).
% 14.25/2.17 fof(f5160,plain,(
% 14.25/2.17 spl0_571 <=> open_subset(sk0_22(X0),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5163,plain,(
% 14.25/2.17 ![X0]: (~topological_space(sk0_43)|open_subset(sk0_22(X0),sk0_43)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5105,f624])).
% 14.25/2.17 fof(f5164,plain,(
% 14.25/2.17 ~spl0_6|spl0_571|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5163,f669,f5160,f1591])).
% 14.25/2.17 fof(f5212,plain,(
% 14.25/2.17 spl0_573 <=> ~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_33(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5215,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_33(sk0_43))|nowhere_dense(sk0_33(sk0_43),X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4627,f185])).
% 14.25/2.17 fof(f5216,plain,(
% 14.25/2.17 spl0_573|~spl0_347),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5215,f5212,f3073])).
% 14.25/2.17 fof(f5217,plain,(
% 14.25/2.17 spl0_574 <=> ~top_str(X0)|boundary_set(sk0_33(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5220,plain,(
% 14.25/2.17 ![X0]: (~top_str(X0)|~empty(sk0_33(sk0_43))|boundary_set(sk0_33(sk0_43),X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4627,f177])).
% 14.25/2.17 fof(f5221,plain,(
% 14.25/2.17 spl0_574|~spl0_347),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5220,f5217,f3073])).
% 14.25/2.17 fof(f5222,plain,(
% 14.25/2.17 spl0_575 <=> ~topological_space(X0)|~top_str(X0)|closed_subset(sk0_33(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5225,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_33(sk0_43))|closed_subset(sk0_33(sk0_43),X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4627,f167])).
% 14.25/2.17 fof(f5226,plain,(
% 14.25/2.17 spl0_575|~spl0_347),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5225,f5222,f3073])).
% 14.25/2.17 fof(f5227,plain,(
% 14.25/2.17 spl0_576 <=> ~topological_space(X0)|~top_str(X0)|open_subset(sk0_33(sk0_43),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5230,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_33(sk0_43))|open_subset(sk0_33(sk0_43),X0))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4627,f166])).
% 14.25/2.17 fof(f5231,plain,(
% 14.25/2.17 spl0_576|~spl0_347),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5230,f5227,f3073])).
% 14.25/2.17 fof(f5241,plain,(
% 14.25/2.17 ![X0]: (~finite(X0)|finite(sk0_33(sk0_43)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f4627,f173])).
% 14.25/2.17 fof(f5242,plain,(
% 14.25/2.17 spl0_515|spl0_350),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5241,f4712,f3101])).
% 14.25/2.17 fof(f5287,plain,(
% 14.25/2.17 spl0_584 <=> empty(sk0_33(sk0_1))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5289,plain,(
% 14.25/2.17 ~empty(sk0_33(sk0_1))|spl0_584),
% 14.25/2.17 inference(component_clause,[status(thm)],[f5287])).
% 14.25/2.17 fof(f5294,plain,(
% 14.25/2.17 spl0_585 <=> ~topological_space(X0)|~top_str(X0)|nowhere_dense(sk0_33(sk0_1),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5297,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_33(sk0_1))|nowhere_dense(sk0_33(sk0_1),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5084,f185])).
% 14.25/2.17 fof(f5298,plain,(
% 14.25/2.17 spl0_585|~spl0_584|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5297,f5294,f5287,f1591])).
% 14.25/2.17 fof(f5299,plain,(
% 14.25/2.17 spl0_586 <=> ~top_str(X0)|boundary_set(sk0_33(sk0_1),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5302,plain,(
% 14.25/2.17 ![X0]: (~top_str(X0)|~empty(sk0_33(sk0_1))|boundary_set(sk0_33(sk0_1),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5084,f177])).
% 14.25/2.17 fof(f5303,plain,(
% 14.25/2.17 spl0_586|~spl0_584|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5302,f5299,f5287,f1591])).
% 14.25/2.17 fof(f5304,plain,(
% 14.25/2.17 spl0_587 <=> ~topological_space(X0)|~top_str(X0)|closed_subset(sk0_33(sk0_1),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5307,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_33(sk0_1))|closed_subset(sk0_33(sk0_1),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5084,f167])).
% 14.25/2.17 fof(f5308,plain,(
% 14.25/2.17 spl0_587|~spl0_584|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5307,f5304,f5287,f1591])).
% 14.25/2.17 fof(f5309,plain,(
% 14.25/2.17 spl0_588 <=> ~topological_space(X0)|~top_str(X0)|open_subset(sk0_33(sk0_1),X0)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5312,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~empty(sk0_33(sk0_1))|open_subset(sk0_33(sk0_1),X0)|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5084,f166])).
% 14.25/2.17 fof(f5313,plain,(
% 14.25/2.17 spl0_588|~spl0_584|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5312,f5309,f5287,f1591])).
% 14.25/2.17 fof(f5323,plain,(
% 14.25/2.17 spl0_590 <=> finite(sk0_33(sk0_1))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5326,plain,(
% 14.25/2.17 ![X0]: (~finite(X0)|finite(sk0_33(sk0_1))|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5084,f173])).
% 14.25/2.17 fof(f5327,plain,(
% 14.25/2.17 spl0_515|spl0_590|~spl0_137),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5326,f4712,f5323,f1591])).
% 14.25/2.17 fof(f5333,plain,(
% 14.25/2.17 $false|spl0_584),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f5289,f1480])).
% 14.25/2.17 fof(f5334,plain,(
% 14.25/2.17 spl0_584),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f5333])).
% 14.25/2.17 fof(f5368,plain,(
% 14.25/2.17 sk0_45=sk0_7(sk0_45,sk0_44,sk0_43)|~spl0_538|~spl0_0),
% 14.25/2.17 inference(resolution,[status(thm)],[f4898,f643])).
% 14.25/2.17 fof(f5387,plain,(
% 14.25/2.17 $false|~spl0_513),
% 14.25/2.17 inference(backward_subsumption_resolution,[status(thm)],[f2193,f4703])).
% 14.25/2.17 fof(f5388,plain,(
% 14.25/2.17 ~spl0_513),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f5387])).
% 14.25/2.17 fof(f5399,plain,(
% 14.25/2.17 ![X0]: (~empty(powerset(X0))|~spl0_137)),
% 14.25/2.17 inference(resolution,[status(thm)],[f638,f5120])).
% 14.25/2.17 fof(f5428,plain,(
% 14.25/2.17 point_neighbourhood(sk0_45,sk0_43,sk0_44)|~spl0_536|~spl0_538|~spl0_0),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f5368,f5002])).
% 14.25/2.17 fof(f5429,plain,(
% 14.25/2.17 spl0_1|~spl0_536|~spl0_538|~spl0_0),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5428,f645,f4884,f4897,f642])).
% 14.25/2.17 fof(f5457,plain,(
% 14.25/2.17 ![X0]: (element(sk0_45,powerset(X0))|~spl0_137|~spl0_97)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3267,f5088])).
% 14.25/2.17 fof(f5568,plain,(
% 14.25/2.17 spl0_592 <=> in(X0,a_2_0_yellow19(sk0_43,sk0_44))|~X0=sk0_45),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5569,plain,(
% 14.25/2.17 ![X0]: (in(X0,a_2_0_yellow19(sk0_43,sk0_44))|~X0=sk0_45|~spl0_592)),
% 14.25/2.17 inference(component_clause,[status(thm)],[f5568])).
% 14.25/2.17 fof(f5571,plain,(
% 14.25/2.17 ![X0]: (empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_44,the_carrier(sk0_43))|in(X0,a_2_0_yellow19(sk0_43,sk0_44))|~X0=sk0_45|~spl0_1)),
% 14.25/2.17 inference(resolution,[status(thm)],[f646,f374])).
% 14.25/2.17 fof(f5572,plain,(
% 14.25/2.17 spl0_5|~spl0_6|~spl0_7|~spl0_19|spl0_592|~spl0_1),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5571,f666,f669,f672,f732,f5568,f645])).
% 14.25/2.17 fof(f5638,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~nowhere_dense(sk0_45,X0)|boundary_set(sk0_45,X0)|~spl0_137|~spl0_97)),
% 14.25/2.17 inference(resolution,[status(thm)],[f5457,f190])).
% 14.25/2.17 fof(f5652,plain,(
% 14.25/2.17 spl0_594 <=> element(sk0_24(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5655,plain,(
% 14.25/2.17 empty_carrier(sk0_26)|~rel_str(sk0_26)|element(sk0_24(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f493,f505])).
% 14.25/2.17 fof(f5656,plain,(
% 14.25/2.17 spl0_84|~spl0_83|spl0_594),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5655,f1062,f1059,f5652])).
% 14.25/2.17 fof(f5657,plain,(
% 14.25/2.17 spl0_595 <=> element(sk0_24(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5660,plain,(
% 14.25/2.17 empty_carrier(sk0_20)|~rel_str(sk0_20)|element(sk0_24(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f493,f474])).
% 14.25/2.17 fof(f5661,plain,(
% 14.25/2.17 spl0_78|~spl0_76|spl0_595),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5660,f1034,f1024,f5657])).
% 14.25/2.17 fof(f5662,plain,(
% 14.25/2.17 spl0_596 <=> element(sk0_24(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5665,plain,(
% 14.25/2.17 empty_carrier(sk0_19)|~rel_str(sk0_19)|element(sk0_24(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f493,f463])).
% 14.25/2.17 fof(f5666,plain,(
% 14.25/2.17 spl0_54|~spl0_52|spl0_596),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5665,f895,f885,f5662])).
% 14.25/2.17 fof(f5667,plain,(
% 14.25/2.17 spl0_597 <=> element(sk0_24(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5670,plain,(
% 14.25/2.17 empty_carrier(sk0_18)|~rel_str(sk0_18)|element(sk0_24(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f493,f446])).
% 14.25/2.17 fof(f5671,plain,(
% 14.25/2.17 spl0_43|~spl0_41|spl0_597),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5670,f852,f842,f5667])).
% 14.25/2.17 fof(f5672,plain,(
% 14.25/2.17 spl0_598 <=> element(sk0_24(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5675,plain,(
% 14.25/2.17 empty_carrier(sk0_13)|~rel_str(sk0_13)|element(sk0_24(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f493,f421])).
% 14.25/2.17 fof(f5676,plain,(
% 14.25/2.17 spl0_37|~spl0_35|spl0_598),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5675,f822,f812,f5672])).
% 14.25/2.17 fof(f5677,plain,(
% 14.25/2.17 spl0_599 <=> element(sk0_24(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5680,plain,(
% 14.25/2.17 empty_carrier(sk0_11)|~rel_str(sk0_11)|element(sk0_24(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f493,f403])).
% 14.25/2.17 fof(f5681,plain,(
% 14.25/2.17 spl0_25|~spl0_23|spl0_599),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5680,f760,f750,f5677])).
% 14.25/2.17 fof(f5682,plain,(
% 14.25/2.17 spl0_600 <=> element(sk0_24(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5685,plain,(
% 14.25/2.17 empty_carrier(sk0_10)|~rel_str(sk0_10)|element(sk0_24(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f493,f395])).
% 14.25/2.17 fof(f5686,plain,(
% 14.25/2.17 spl0_70|~spl0_69|spl0_600),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5685,f977,f974,f5682])).
% 14.25/2.17 fof(f5703,plain,(
% 14.25/2.17 element(sk0_31(sk0_43),powerset(powerset(the_carrier(sk0_43))))),
% 14.25/2.17 inference(resolution,[status(thm)],[f533,f1356])).
% 14.25/2.17 fof(f5730,plain,(
% 14.25/2.17 spl0_601 <=> element(sk0_40(sk0_34),powerset(the_carrier(sk0_34)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5733,plain,(
% 14.25/2.17 empty_carrier(sk0_34)|element(sk0_40(sk0_34),powerset(the_carrier(sk0_34)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f552])).
% 14.25/2.17 fof(f5734,plain,(
% 14.25/2.17 spl0_164|spl0_601),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5733,f1728,f5730])).
% 14.25/2.17 fof(f5735,plain,(
% 14.25/2.17 spl0_602 <=> element(sk0_40(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5738,plain,(
% 14.25/2.17 empty_carrier(sk0_26)|element(sk0_40(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f503])).
% 14.25/2.17 fof(f5739,plain,(
% 14.25/2.17 spl0_84|spl0_602),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5738,f1062,f5735])).
% 14.25/2.17 fof(f5740,plain,(
% 14.25/2.17 spl0_603 <=> element(sk0_40(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5743,plain,(
% 14.25/2.17 empty_carrier(sk0_20)|element(sk0_40(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f471])).
% 14.25/2.17 fof(f5744,plain,(
% 14.25/2.17 spl0_78|spl0_603),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5743,f1034,f5740])).
% 14.25/2.17 fof(f5745,plain,(
% 14.25/2.17 spl0_604 <=> element(sk0_40(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5748,plain,(
% 14.25/2.17 empty_carrier(sk0_19)|element(sk0_40(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f460])).
% 14.25/2.17 fof(f5749,plain,(
% 14.25/2.17 spl0_54|spl0_604),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5748,f895,f5745])).
% 14.25/2.17 fof(f5750,plain,(
% 14.25/2.17 spl0_605 <=> element(sk0_40(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5753,plain,(
% 14.25/2.17 empty_carrier(sk0_18)|element(sk0_40(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f442])).
% 14.25/2.17 fof(f5754,plain,(
% 14.25/2.17 spl0_43|spl0_605),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5753,f852,f5750])).
% 14.25/2.17 fof(f5755,plain,(
% 14.25/2.17 spl0_606 <=> element(sk0_40(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5758,plain,(
% 14.25/2.17 empty_carrier(sk0_13)|element(sk0_40(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f418])).
% 14.25/2.17 fof(f5759,plain,(
% 14.25/2.17 spl0_37|spl0_606),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5758,f822,f5755])).
% 14.25/2.17 fof(f5760,plain,(
% 14.25/2.17 spl0_607 <=> element(sk0_40(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5763,plain,(
% 14.25/2.17 empty_carrier(sk0_11)|element(sk0_40(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f400])).
% 14.25/2.17 fof(f5764,plain,(
% 14.25/2.17 spl0_25|spl0_607),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5763,f760,f5760])).
% 14.25/2.17 fof(f5765,plain,(
% 14.25/2.17 spl0_608 <=> element(sk0_40(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5768,plain,(
% 14.25/2.17 empty_carrier(sk0_10)|element(sk0_40(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f590,f393])).
% 14.25/2.17 fof(f5769,plain,(
% 14.25/2.17 spl0_70|spl0_608),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5768,f977,f5765])).
% 14.25/2.17 fof(f5782,plain,(
% 14.25/2.17 spl0_611 <=> element(sk0_41(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5785,plain,(
% 14.25/2.17 empty_carrier(sk0_26)|~reflexive_relstr(sk0_26)|~rel_str(sk0_26)|element(sk0_41(sk0_26),powerset(the_carrier(sk0_26)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f596,f506])).
% 14.25/2.17 fof(f5786,plain,(
% 14.25/2.17 spl0_84|~spl0_85|~spl0_83|spl0_611),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5785,f1062,f1065,f1059,f5782])).
% 14.25/2.17 fof(f5787,plain,(
% 14.25/2.17 spl0_612 <=> element(sk0_41(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5790,plain,(
% 14.25/2.17 empty_carrier(sk0_20)|~reflexive_relstr(sk0_20)|~rel_str(sk0_20)|element(sk0_41(sk0_20),powerset(the_carrier(sk0_20)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f596,f475])).
% 14.25/2.17 fof(f5791,plain,(
% 14.25/2.17 spl0_78|~spl0_79|~spl0_76|spl0_612),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5790,f1034,f1037,f1024,f5787])).
% 14.25/2.17 fof(f5792,plain,(
% 14.25/2.17 spl0_613 <=> element(sk0_41(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5795,plain,(
% 14.25/2.17 empty_carrier(sk0_19)|~reflexive_relstr(sk0_19)|~rel_str(sk0_19)|element(sk0_41(sk0_19),powerset(the_carrier(sk0_19)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f596,f464])).
% 14.25/2.17 fof(f5796,plain,(
% 14.25/2.17 spl0_54|~spl0_55|~spl0_52|spl0_613),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5795,f895,f898,f885,f5792])).
% 14.25/2.17 fof(f5797,plain,(
% 14.25/2.17 spl0_614 <=> element(sk0_41(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5800,plain,(
% 14.25/2.17 empty_carrier(sk0_18)|~reflexive_relstr(sk0_18)|~rel_str(sk0_18)|element(sk0_41(sk0_18),powerset(the_carrier(sk0_18)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f596,f447])).
% 14.25/2.17 fof(f5801,plain,(
% 14.25/2.17 spl0_43|~spl0_44|~spl0_41|spl0_614),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5800,f852,f855,f842,f5797])).
% 14.25/2.17 fof(f5802,plain,(
% 14.25/2.17 spl0_615 <=> element(sk0_41(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5805,plain,(
% 14.25/2.17 empty_carrier(sk0_13)|~reflexive_relstr(sk0_13)|~rel_str(sk0_13)|element(sk0_41(sk0_13),powerset(the_carrier(sk0_13)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f596,f422])).
% 14.25/2.17 fof(f5806,plain,(
% 14.25/2.17 spl0_37|~spl0_38|~spl0_35|spl0_615),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5805,f822,f825,f812,f5802])).
% 14.25/2.17 fof(f5807,plain,(
% 14.25/2.17 spl0_616 <=> element(sk0_41(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5810,plain,(
% 14.25/2.17 empty_carrier(sk0_11)|~reflexive_relstr(sk0_11)|~rel_str(sk0_11)|element(sk0_41(sk0_11),powerset(the_carrier(sk0_11)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f596,f404])).
% 14.25/2.17 fof(f5811,plain,(
% 14.25/2.17 spl0_25|~spl0_26|~spl0_23|spl0_616),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5810,f760,f763,f750,f5807])).
% 14.25/2.17 fof(f5812,plain,(
% 14.25/2.17 spl0_617 <=> element(sk0_41(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5815,plain,(
% 14.25/2.17 empty_carrier(sk0_10)|~reflexive_relstr(sk0_10)|~rel_str(sk0_10)|element(sk0_41(sk0_10),powerset(the_carrier(sk0_10)))),
% 14.25/2.17 inference(resolution,[status(thm)],[f596,f396])).
% 14.25/2.17 fof(f5816,plain,(
% 14.25/2.17 spl0_70|~spl0_71|~spl0_69|spl0_617),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5815,f977,f980,f974,f5812])).
% 14.25/2.17 fof(f5844,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|~nowhere_dense(sk0_14,X0)|boundary_set(sk0_45,X0)|~spl0_137|~spl0_97)),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3277,f5638])).
% 14.25/2.17 fof(f5845,plain,(
% 14.25/2.17 ![X0]: (~topological_space(X0)|~top_str(X0)|boundary_set(sk0_45,X0)|~spl0_509|~spl0_137|~spl0_97)),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f5844,f4681])).
% 14.25/2.17 fof(f5846,plain,(
% 14.25/2.17 spl0_621 <=> boundary_set(sk0_45,sk0_1)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5849,plain,(
% 14.25/2.17 ~topological_space(sk0_1)|boundary_set(sk0_45,sk0_1)|~spl0_509|~spl0_137|~spl0_97),
% 14.25/2.17 inference(resolution,[status(thm)],[f5845,f244])).
% 14.25/2.17 fof(f5850,plain,(
% 14.25/2.17 ~spl0_121|spl0_621|~spl0_509|~spl0_137|~spl0_97),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5849,f1375,f5846,f4680,f1591,f1139])).
% 14.25/2.17 fof(f5854,plain,(
% 14.25/2.17 $false|~spl0_515),
% 14.25/2.17 inference(backward_subsumption_resolution,[status(thm)],[f3536,f4713])).
% 14.25/2.17 fof(f5855,plain,(
% 14.25/2.17 ~spl0_515),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f5854])).
% 14.25/2.17 fof(f5882,plain,(
% 14.25/2.17 in(sk0_45,a_2_0_yellow19(sk0_43,sk0_44))|~spl0_592),
% 14.25/2.17 inference(equality_resolution,[status(esa)],[f5569])).
% 14.25/2.17 fof(f5883,plain,(
% 14.25/2.17 spl0_622 <=> in(X0,a_2_0_yellow19(sk0_43,sk0_5(sk0_45)))|~X0=sk0_3(sk0_5(sk0_45),sk0_43)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f5886,plain,(
% 14.25/2.17 ![X0]: (empty_carrier(sk0_43)|~topological_space(sk0_43)|~top_str(sk0_43)|~element(sk0_5(sk0_45),the_carrier(sk0_43))|in(X0,a_2_0_yellow19(sk0_43,sk0_5(sk0_45)))|~X0=sk0_3(sk0_5(sk0_45),sk0_43)|~spl0_317)),
% 14.25/2.17 inference(resolution,[status(thm)],[f2891,f374])).
% 14.25/2.17 fof(f5887,plain,(
% 14.25/2.17 spl0_5|~spl0_6|~spl0_7|~spl0_126|spl0_622|~spl0_317),
% 14.25/2.17 inference(split_clause,[status(thm)],[f5886,f666,f669,f672,f1399,f5883,f2890])).
% 14.25/2.17 fof(f6021,plain,(
% 14.25/2.17 spl0_623 <=> in(sk0_22(X0),powerset(sk0_14))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6024,plain,(
% 14.25/2.17 ![X0]: (empty(powerset(sk0_14))|in(sk0_22(X0),powerset(sk0_14)))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3522,f1367])).
% 14.25/2.17 fof(f6025,plain,(
% 14.25/2.17 spl0_430|spl0_623),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6024,f4046,f6021])).
% 14.25/2.17 fof(f6140,plain,(
% 14.25/2.17 spl0_627 <=> ~in(powerset(sk0_14),sk0_22(X0))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6143,plain,(
% 14.25/2.17 ![X0]: (empty(powerset(sk0_14))|~in(powerset(sk0_14),sk0_22(X0)))),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f3522,f1371])).
% 14.25/2.17 fof(f6144,plain,(
% 14.25/2.17 spl0_430|spl0_627),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6143,f4046,f6140])).
% 14.25/2.17 fof(f6465,plain,(
% 14.25/2.17 spl0_642 <=> complete_relstr(sk0_13)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6468,plain,(
% 14.25/2.17 ~rel_str(sk0_13)|~reflexive_relstr(sk0_13)|~transitive_relstr(sk0_13)|~antisymmetric_relstr(sk0_13)|~lower_bounded_relstr(sk0_13)|~up_complete_relstr(sk0_13)|complete_relstr(sk0_13)|~spl0_103),
% 14.25/2.17 inference(resolution,[status(thm)],[f1012,f1172])).
% 14.25/2.17 fof(f6469,plain,(
% 14.25/2.17 ~spl0_35|~spl0_38|~spl0_290|~spl0_118|~spl0_93|~spl0_40|spl0_642|~spl0_103),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6468,f812,f825,f2733,f1333,f1109,f833,f6465,f1171])).
% 14.25/2.17 fof(f6470,plain,(
% 14.25/2.17 spl0_643 <=> complete_relstr(sk0_26)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6473,plain,(
% 14.25/2.17 ~rel_str(sk0_26)|~reflexive_relstr(sk0_26)|~transitive_relstr(sk0_26)|~antisymmetric_relstr(sk0_26)|~lower_bounded_relstr(sk0_26)|~up_complete_relstr(sk0_26)|complete_relstr(sk0_26)),
% 14.25/2.17 inference(resolution,[status(thm)],[f1012,f508])).
% 14.25/2.17 fof(f6474,plain,(
% 14.25/2.17 ~spl0_83|~spl0_85|~spl0_292|~spl0_89|~spl0_95|~spl0_88|spl0_643),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6473,f1059,f1065,f2741,f1089,f1121,f1084,f6470])).
% 14.25/2.17 fof(f6475,plain,(
% 14.25/2.17 spl0_644 <=> complete_relstr(sk0_20)),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6478,plain,(
% 14.25/2.17 ~rel_str(sk0_20)|~reflexive_relstr(sk0_20)|~transitive_relstr(sk0_20)|~antisymmetric_relstr(sk0_20)|~lower_bounded_relstr(sk0_20)|~up_complete_relstr(sk0_20)|complete_relstr(sk0_20)),
% 14.25/2.17 inference(resolution,[status(thm)],[f1012,f477])).
% 14.25/2.17 fof(f6479,plain,(
% 14.25/2.17 ~spl0_76|~spl0_79|~spl0_294|~spl0_119|~spl0_94|~spl0_82|spl0_644),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6478,f1024,f1037,f2749,f1338,f1116,f1054,f6475])).
% 14.25/2.17 fof(f6480,plain,(
% 14.25/2.17 ~rel_str(sk0_19)|~reflexive_relstr(sk0_19)|~transitive_relstr(sk0_19)|~antisymmetric_relstr(sk0_19)|~lower_bounded_relstr(sk0_19)|~up_complete_relstr(sk0_19)|complete_relstr(sk0_19)),
% 14.25/2.17 inference(resolution,[status(thm)],[f1012,f466])).
% 14.25/2.17 fof(f6481,plain,(
% 14.25/2.17 ~spl0_52|~spl0_55|~spl0_56|~spl0_57|~spl0_58|~spl0_59|spl0_61),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6480,f885,f898,f901,f904,f907,f910,f918])).
% 14.25/2.17 fof(f6484,plain,(
% 14.25/2.17 ~rel_str(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)),
% 14.25/2.17 inference(resolution,[status(thm)],[f1012,f406])).
% 14.25/2.17 fof(f6485,plain,(
% 14.25/2.17 ~spl0_23|~spl0_26|~spl0_29|~spl0_30|~spl0_31|~spl0_28|spl0_33),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6484,f750,f763,f780,f783,f786,f771,f800])).
% 14.25/2.17 fof(f6487,plain,(
% 14.25/2.17 ~rel_str(sk0_13)|~reflexive_relstr(sk0_13)|~transitive_relstr(sk0_13)|~antisymmetric_relstr(sk0_13)|~lower_bounded_relstr(sk0_13)|~up_complete_relstr(sk0_13)|with_infima_relstr(sk0_13)|~spl0_103),
% 14.25/2.17 inference(resolution,[status(thm)],[f1013,f1172])).
% 14.25/2.17 fof(f6488,plain,(
% 14.25/2.17 ~spl0_35|~spl0_38|~spl0_290|~spl0_118|~spl0_93|~spl0_40|spl0_68|~spl0_103),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6487,f812,f825,f2733,f1333,f1109,f833,f967,f1171])).
% 14.25/2.17 fof(f6491,plain,(
% 14.25/2.17 ~rel_str(sk0_20)|~reflexive_relstr(sk0_20)|~transitive_relstr(sk0_20)|~antisymmetric_relstr(sk0_20)|~lower_bounded_relstr(sk0_20)|~up_complete_relstr(sk0_20)|with_infima_relstr(sk0_20)),
% 14.25/2.17 inference(resolution,[status(thm)],[f1013,f477])).
% 14.25/2.17 fof(f6492,plain,(
% 14.25/2.17 ~spl0_76|~spl0_79|~spl0_294|~spl0_119|~spl0_94|~spl0_82|spl0_81),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6491,f1024,f1037,f2749,f1338,f1116,f1054,f1043])).
% 14.25/2.17 fof(f6493,plain,(
% 14.25/2.17 ~rel_str(sk0_19)|~reflexive_relstr(sk0_19)|~transitive_relstr(sk0_19)|~antisymmetric_relstr(sk0_19)|~lower_bounded_relstr(sk0_19)|~up_complete_relstr(sk0_19)|with_infima_relstr(sk0_19)),
% 14.25/2.17 inference(resolution,[status(thm)],[f1013,f466])).
% 14.25/2.17 fof(f6494,plain,(
% 14.25/2.17 ~spl0_52|~spl0_55|~spl0_56|~spl0_57|~spl0_58|~spl0_59|spl0_62),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6493,f885,f898,f901,f904,f907,f910,f923])).
% 14.25/2.17 fof(f6497,plain,(
% 14.25/2.17 ~rel_str(sk0_11)|~reflexive_relstr(sk0_11)|~transitive_relstr(sk0_11)|~antisymmetric_relstr(sk0_11)|~lower_bounded_relstr(sk0_11)|~up_complete_relstr(sk0_11)|with_infima_relstr(sk0_11)),
% 14.25/2.17 inference(resolution,[status(thm)],[f1013,f406])).
% 14.25/2.17 fof(f6498,plain,(
% 14.25/2.17 ~spl0_23|~spl0_26|~spl0_29|~spl0_30|~spl0_31|~spl0_28|spl0_32),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6497,f750,f763,f780,f783,f786,f771,f789])).
% 14.25/2.17 fof(f6733,plain,(
% 14.25/2.17 $false|~spl0_12),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f704,f269])).
% 14.25/2.17 fof(f6734,plain,(
% 14.25/2.17 ~spl0_12),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f6733])).
% 14.25/2.17 fof(f6738,plain,(
% 14.25/2.17 spl0_659 <=> finite(sk0_15(cast_as_carrier_subset(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6741,plain,(
% 14.25/2.17 empty(cast_as_carrier_subset(sk0_43))|finite(sk0_15(cast_as_carrier_subset(sk0_43)))|~spl0_448),
% 14.25/2.17 inference(resolution,[status(thm)],[f4169,f4999])).
% 14.25/2.17 fof(f6742,plain,(
% 14.25/2.17 spl0_445|spl0_659|~spl0_448),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6741,f4140,f6738,f4168])).
% 14.25/2.17 fof(f6869,plain,(
% 14.25/2.17 spl0_662 <=> finite(sk0_15(sk0_16(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6872,plain,(
% 14.25/2.17 empty(sk0_16(sk0_43))|finite(sk0_15(sk0_16(sk0_43)))|~spl0_362),
% 14.25/2.17 inference(resolution,[status(thm)],[f3249,f4999])).
% 14.25/2.17 fof(f6873,plain,(
% 14.25/2.17 spl0_359|spl0_662|~spl0_362),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6872,f3220,f6869,f3248])).
% 14.25/2.17 fof(f6874,plain,(
% 14.25/2.17 spl0_663 <=> finite(sk0_15(sk0_23(sk0_43)))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6877,plain,(
% 14.25/2.17 empty(sk0_23(sk0_43))|finite(sk0_15(sk0_23(sk0_43)))|~spl0_373),
% 14.25/2.17 inference(resolution,[status(thm)],[f3412,f4999])).
% 14.25/2.17 fof(f6878,plain,(
% 14.25/2.17 spl0_370|spl0_663|~spl0_373),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6877,f3383,f6874,f3411])).
% 14.25/2.17 fof(f6887,plain,(
% 14.25/2.17 spl0_665 <=> empty(powerset(powerset(the_carrier(sk0_43))))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6888,plain,(
% 14.25/2.17 empty(powerset(powerset(the_carrier(sk0_43))))|~spl0_665),
% 14.25/2.17 inference(component_clause,[status(thm)],[f6887])).
% 14.25/2.17 fof(f6890,plain,(
% 14.25/2.17 spl0_666 <=> in(sk0_31(sk0_43),powerset(powerset(the_carrier(sk0_43))))),
% 14.25/2.17 introduced(split_symbol_definition)).
% 14.25/2.17 fof(f6893,plain,(
% 14.25/2.17 empty(powerset(powerset(the_carrier(sk0_43))))|in(sk0_31(sk0_43),powerset(powerset(the_carrier(sk0_43))))),
% 14.25/2.17 inference(resolution,[status(thm)],[f5703,f609])).
% 14.25/2.17 fof(f6894,plain,(
% 14.25/2.17 spl0_665|spl0_666),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6893,f6887,f6890])).
% 14.25/2.17 fof(f6896,plain,(
% 14.25/2.17 $false|~spl0_137|~spl0_665),
% 14.25/2.17 inference(forward_subsumption_resolution,[status(thm)],[f6888,f5399])).
% 14.25/2.17 fof(f6897,plain,(
% 14.25/2.17 ~spl0_137|~spl0_665),
% 14.25/2.17 inference(contradiction_clause,[status(thm)],[f6896])).
% 14.25/2.17 fof(f6913,plain,(
% 14.25/2.17 in(sk0_45,neighborhood_system(sk0_43,sk0_44))|~spl0_592|~spl0_8),
% 14.25/2.17 inference(paramodulation,[status(thm)],[f676,f5882])).
% 14.25/2.17 fof(f6914,plain,(
% 14.25/2.17 spl0_0|~spl0_592|~spl0_8),
% 14.25/2.17 inference(split_clause,[status(thm)],[f6913,f642,f5568,f675])).
% 14.25/2.17 fof(f6915,plain,(
% 14.25/2.17 $false),
% 14.25/2.17 inference(sat_refutation,[status(thm)],[f648,f649,f657,f679,f681,f683,f685,f692,f702,f739,f741,f749,f757,f759,f770,f775,f777,f779,f795,f797,f799,f819,f821,f832,f837,f839,f841,f849,f851,f892,f894,f929,f931,f933,f950,f952,f954,f956,f992,f994,f1015,f1017,f1021,f1023,f1031,f1033,f1049,f1051,f1053,f1058,f1077,f1079,f1081,f1083,f1088,f1098,f1106,f1108,f1113,f1115,f1120,f1133,f1135,f1146,f1156,f1163,f1168,f1170,f1175,f1177,f1179,f1195,f1205,f1222,f1259,f1269,f1283,f1285,f1302,f1324,f1326,f1328,f1330,f1382,f1387,f1392,f1397,f1403,f1411,f1457,f1590,f1595,f1600,f1605,f1610,f1615,f1620,f1625,f1630,f1635,f1640,f1645,f1650,f1655,f1660,f1665,f1670,f1675,f1680,f1685,f1690,f1695,f1700,f1705,f1710,f1715,f1720,f1725,f1735,f1740,f1745,f1750,f1755,f1760,f1765,f1770,f1780,f1782,f1787,f1789,f1791,f1794,f1798,f1803,f1820,f1836,f1852,f1868,f1884,f1897,f1901,f1903,f2177,f2182,f2187,f2207,f2212,f2217,f2222,f2227,f2232,f2237,f2242,f2290,f2295,f2300,f2305,f2310,f2315,f2320,f2327,f2332,f2337,f2342,f2347,f2352,f2357,f2364,f2369,f2374,f2379,f2384,f2389,f2394,f2399,f2404,f2409,f2414,f2419,f2424,f2429,f2434,f2439,f2444,f2449,f2454,f2466,f2471,f2476,f2481,f2486,f2491,f2496,f2501,f2509,f2519,f2524,f2529,f2534,f2539,f2554,f2559,f2564,f2569,f2574,f2579,f2584,f2596,f2601,f2606,f2611,f2616,f2621,f2626,f2638,f2643,f2648,f2653,f2658,f2663,f2668,f2680,f2685,f2690,f2695,f2700,f2705,f2710,f2715,f2720,f2725,f2730,f2740,f2748,f2756,f2761,f2766,f2771,f2773,f2775,f2777,f2779,f2781,f2788,f2793,f2798,f2803,f2808,f2813,f2815,f2822,f2827,f2832,f2837,f2842,f2847,f2854,f2859,f2864,f2869,f2874,f2879,f2894,f2901,f2939,f2944,f2949,f2954,f2959,f2964,f2969,f2974,f2986,f2991,f2996,f3001,f3006,f3011,f3016,f3021,f3031,f3036,f3047,f3052,f3057,f3062,f3067,f3084,f3086,f3090,f3092,f3110,f3115,f3194,f3199,f3204,f3209,f3214,f3219,f3224,f3229,f3231,f3233,f3235,f3242,f3247,f3252,f3257,f3332,f3360,f3365,f3370,f3375,f3380,f3387,f3392,f3394,f3396,f3398,f3405,f3410,f3415,f3420,f3464,f3554,f3559,f3564,f3569,f3574,f3581,f3586,f3588,f3590,f3592,f3596,f3599,f3604,f3609,f3614,f3622,f3627,f3632,f3637,f3642,f3649,f3654,f3656,f3658,f3667,f3672,f3677,f3682,f3693,f3698,f3703,f3708,f3713,f3720,f3725,f3727,f3729,f3735,f3738,f3743,f3748,f3753,f3967,f3969,f3971,f3975,f3977,f3979,f4013,f4018,f4023,f4053,f4058,f4061,f4083,f4088,f4091,f4117,f4122,f4127,f4132,f4137,f4144,f4149,f4151,f4153,f4155,f4162,f4167,f4172,f4177,f4188,f4193,f4198,f4203,f4208,f4218,f4223,f4225,f4227,f4231,f4233,f4236,f4241,f4246,f4251,f4262,f4267,f4272,f4277,f4282,f4292,f4297,f4299,f4301,f4305,f4307,f4310,f4315,f4320,f4325,f4346,f4351,f4372,f4377,f4400,f4405,f4424,f4429,f4449,f4454,f4457,f4474,f4479,f4499,f4504,f4521,f4531,f4536,f4538,f4654,f4659,f4664,f4669,f4674,f4684,f4689,f4694,f4699,f4734,f4739,f4744,f4749,f4754,f4759,f4763,f4806,f4811,f4816,f4821,f4855,f4857,f4859,f4861,f4863,f4870,f4872,f4883,f4888,f4890,f4896,f4901,f4906,f4918,f4923,f4928,f4933,f4938,f4943,f4948,f4955,f4960,f4965,f4970,f4975,f4980,f5055,f5060,f5065,f5070,f5081,f5112,f5118,f5139,f5144,f5149,f5154,f5159,f5164,f5216,f5221,f5226,f5231,f5242,f5298,f5303,f5308,f5313,f5327,f5334,f5388,f5429,f5572,f5656,f5661,f5666,f5671,f5676,f5681,f5686,f5734,f5739,f5744,f5749,f5754,f5759,f5764,f5769,f5786,f5791,f5796,f5801,f5806,f5811,f5816,f5850,f5855,f5887,f6025,f6144,f6469,f6474,f6479,f6481,f6485,f6488,f6492,f6494,f6498,f6734,f6742,f6873,f6878,f6894,f6897,f6914])).
% 14.25/2.17 % SZS output end CNFRefutation for theBenchmark.p
% 14.25/2.17 % Elapsed time: 1.829118 seconds
% 14.25/2.17 % CPU time: 14.317364 seconds
% 14.25/2.17 % Memory used: 170.219 MB
%------------------------------------------------------------------------------