SET007 Axioms: SET007+834.ax


%------------------------------------------------------------------------------
% File     : SET007+834 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : The Continuous Functions on Normed Linear Spaces
% Version  : [Urb08] axioms.
% English  :

% Refs     : [Mat90] Matuszewski (1990), Formalized Mathematics
%          : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
%          : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb08]
% Names    : nfcont_1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   82 (   0 unit)
%            Number of atoms       : 1628 (  47 equality)
%            Maximal formula depth :   27 (  14 average)
%            Number of connectives : 1718 ( 172 ~  ;   2  |;1162  &)
%                                         (  23 <=>; 359 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   38 (   0 propositional; 1-4 arity)
%            Number of functors    :   48 (   5 constant; 0-4 arity)
%            Number of variables   :  355 (   0 singleton; 346 !;   9 ?)
%            Maximal term depth    :    5 (   1 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(d1_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k5_numbers,u1_struct_0(A))
            & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( C = k1_nfcont_1(A,B)
              <=> ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => k2_normsp_1(A,C,D) = k5_rlvect_1(A,k2_normsp_1(A,B,D)) ) ) ) ) ) )).

fof(t1_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k5_numbers,u1_struct_0(A))
            & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => k4_normsp_1(A,B,C) = k3_normsp_1(A,B,k1_nfcont_1(A,C)) ) ) ) )).

fof(t2_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k5_numbers,u1_struct_0(A))
            & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
         => k1_nfcont_1(A,B) = k6_normsp_1(A,B,k1_real_1(np__1)) ) ) )).

fof(d2_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,u1_struct_0(A),k1_numbers) )
                 => ( D = k2_nfcont_1(A,B,C)
                  <=> ( k4_relset_1(u1_struct_0(A),k1_numbers,D) = k4_relset_1(u1_struct_0(A),u1_struct_0(B),C)
                      & ! [E] :
                          ( m1_subset_1(E,u1_struct_0(A))
                         => ( r2_hidden(E,k4_relset_1(u1_struct_0(A),k1_numbers,D))
                           => k2_seq_1(u1_struct_0(A),k1_numbers,D,E) = k1_normsp_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ) ) )).

fof(t4_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_nfcont_1(C,A,B)
             => r2_hidden(B,C) ) ) ) )).

fof(d4_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_nfcont_1(B,A)
          <=> ! [C] :
                ( ( v1_funct_1(C)
                  & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                  & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
               => ~ ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),B)
                    & ! [D] :
                        ( ( v1_funct_1(D)
                          & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                          & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                       => ~ ( m1_bhsp_3(D,A,C)
                            & v4_normsp_1(D,A)
                            & r2_hidden(k8_normsp_1(A,D),B) ) ) ) ) ) ) ) )).

fof(d5_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v2_nfcont_1(B,A)
          <=> ! [C] :
                ( ( v1_funct_1(C)
                  & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                  & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
               => ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),B)
                    & v4_normsp_1(C,A) )
                 => r2_hidden(k8_normsp_1(A,C),B) ) ) ) ) ) )).

fof(d6_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_nfcont_1(B,A)
          <=> v2_nfcont_1(k3_subset_1(u1_struct_0(A),B),A) ) ) ) )).

fof(d7_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                 => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                   => k3_nfcont_1(A,B,C,D) = k5_relat_1(D,C) ) ) ) ) ) )).

fof(d8_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
               => k4_nfcont_1(A,B,C) = k5_relat_1(C,B) ) ) ) ) )).

fof(d9_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_nfcont_1(A,B,C,D)
                  <=> ( r2_hidden(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                      & ! [E] :
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                            & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                         => ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                              & v4_normsp_1(E,A)
                              & k8_normsp_1(A,E) = D )
                           => ( v4_normsp_1(k3_nfcont_1(A,B,C,E),B)
                              & k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D) = k8_normsp_1(B,k3_nfcont_1(A,B,C,E)) ) ) ) ) ) ) ) ) ) )).

fof(d10_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_nfcont_1(A,B,C)
              <=> ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
                  & ! [D] :
                      ( ( v1_funct_1(D)
                        & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                        & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                     => ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),k1_numbers,B))
                          & v4_normsp_1(D,A)
                          & k8_normsp_1(A,D) = C )
                       => ( v4_seq_2(k4_nfcont_1(A,B,D))
                          & k4_finseq_4(u1_struct_0(A),k1_numbers,B,C) = k2_seq_2(k4_nfcont_1(A,B,D)) ) ) ) ) ) ) ) ) )).

fof(t5_nfcont_1,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v3_rlvect_1(C)
                & v4_rlvect_1(C)
                & v5_rlvect_1(C)
                & v6_rlvect_1(C)
                & v7_rlvect_1(C)
                & v2_normsp_1(C)
                & l1_normsp_1(C) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(B))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
                     => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(C),E))
                       => r2_hidden(k2_normsp_1(B,D,A),k4_relset_1(u1_struct_0(B),u1_struct_0(C),E)) ) ) ) ) ) ) )).

fof(t6_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k5_numbers,u1_struct_0(A))
            & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
         => ! [C] :
              ( r2_hidden(C,k5_relset_1(k5_numbers,u1_struct_0(A),B))
            <=> ? [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                  & C = k2_normsp_1(A,B,D) ) ) ) ) )).

fof(t7_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,k5_numbers,u1_struct_0(A))
            & m2_relset_1(B,k5_numbers,u1_struct_0(A)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( m1_bhsp_3(C,A,B)
               => r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k5_relset_1(k5_numbers,u1_struct_0(A),B)) ) ) ) ) )).

fof(t8_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(B))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(B)) )
                 => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),D),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                   => ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => k2_normsp_1(A,k3_nfcont_1(B,A,C,D),E) = k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,k2_normsp_1(B,D,E)) ) ) ) ) ) ) )).

fof(t9_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => k2_seq_1(k5_numbers,k1_numbers,k4_nfcont_1(A,B,C),D) = k4_finseq_4(u1_struct_0(A),k1_numbers,B,k2_normsp_1(A,C,D)) ) ) ) ) ) )).

fof(t10_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k5_numbers,k1_numbers)
                        & v1_seqm_3(E)
                        & v7_seqm_3(E)
                        & m2_relset_1(E,k5_numbers,k1_numbers) )
                     => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                       => k5_lopban_3(B,E,k3_nfcont_1(A,B,C,D)) = k3_nfcont_1(A,B,C,k5_lopban_3(A,E,D)) ) ) ) ) ) ) )).

fof(t11_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,k1_numbers)
                    & v1_seqm_3(D)
                    & v7_seqm_3(D)
                    & m2_relset_1(D,k5_numbers,k1_numbers) )
                 => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
                   => k3_seqm_3(D,k4_nfcont_1(A,B,C)) = k4_nfcont_1(A,B,k5_lopban_3(A,D,C)) ) ) ) ) ) )).

fof(t12_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                        & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                     => ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                          & m1_bhsp_3(E,A,D) )
                       => m1_bhsp_3(k3_nfcont_1(A,B,C,E),B,k3_nfcont_1(A,B,C,D)) ) ) ) ) ) ) )).

fof(t13_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                 => ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),C),k4_relset_1(u1_struct_0(A),k1_numbers,B))
                      & m1_bhsp_3(D,A,C) )
                   => m1_seqm_3(k4_nfcont_1(A,B,D),k4_nfcont_1(A,B,C)) ) ) ) ) ) )).

fof(t14_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r1_nfcont_1(B,A,C,D)
                  <=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                      & ! [E] :
                          ( m1_subset_1(E,k1_numbers)
                         => ~ ( ~ r1_xreal_0(E,np__0)
                              & ! [F] :
                                  ( m1_subset_1(F,k1_numbers)
                                 => ~ ( ~ r1_xreal_0(F,np__0)
                                      & ! [G] :
                                          ( m1_subset_1(G,u1_struct_0(B))
                                         => ~ ( r2_hidden(G,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                                              & ~ r1_xreal_0(F,k1_normsp_1(B,k6_rlvect_1(B,G,D)))
                                              & r1_xreal_0(E,k1_normsp_1(A,k6_rlvect_1(A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,G),k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D)))) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t15_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),k1_numbers) )
             => ( r2_nfcont_1(A,C,B)
              <=> ( r2_hidden(B,k4_relset_1(u1_struct_0(A),k1_numbers,C))
                  & ! [D] :
                      ( m1_subset_1(D,k1_numbers)
                     => ~ ( ~ r1_xreal_0(D,np__0)
                          & ! [E] :
                              ( m1_subset_1(E,k1_numbers)
                             => ~ ( ~ r1_xreal_0(E,np__0)
                                  & ! [F] :
                                      ( m1_subset_1(F,u1_struct_0(A))
                                     => ~ ( r2_hidden(F,k4_relset_1(u1_struct_0(A),k1_numbers,C))
                                          & ~ r1_xreal_0(E,k1_normsp_1(A,k6_rlvect_1(A,F,B)))
                                          & r1_xreal_0(D,k18_complex1(k5_real_1(k4_finseq_4(u1_struct_0(A),k1_numbers,C,F),k4_finseq_4(u1_struct_0(A),k1_numbers,C,B)))) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t16_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r1_nfcont_1(B,A,C,D)
                  <=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                      & ! [E] :
                          ( m1_nfcont_1(E,A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D))
                         => ? [F] :
                              ( m1_nfcont_1(F,B,D)
                              & ! [G] :
                                  ( m1_subset_1(G,u1_struct_0(B))
                                 => ( ( r2_hidden(G,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                                      & r2_hidden(G,F) )
                                   => r2_hidden(k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,G),E) ) ) ) ) ) ) ) ) ) ) )).

fof(t17_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r1_nfcont_1(B,A,C,D)
                  <=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                      & ! [E] :
                          ( m1_nfcont_1(E,A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D))
                         => ? [F] :
                              ( m1_nfcont_1(F,B,D)
                              & r1_tarski(k10_relset_1(u1_struct_0(B),u1_struct_0(A),C,F),E) ) ) ) ) ) ) ) ) )).

fof(t18_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                   => ( ! [E] :
                          ( m1_nfcont_1(E,B,D)
                         => k5_subset_1(u1_struct_0(B),k4_relset_1(u1_struct_0(B),u1_struct_0(A),C),E) != k1_struct_0(B,D) )
                      | r1_nfcont_1(B,A,C,D) ) ) ) ) ) ) )).

fof(t19_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                        & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                     => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),E),k5_subset_1(u1_struct_0(A),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C),k4_relset_1(u1_struct_0(A),u1_struct_0(B),D)))
                       => ( k3_nfcont_1(A,B,k1_vfunct_1(u1_struct_0(A),B,C,D),E) = k3_normsp_1(B,k3_nfcont_1(A,B,C,E),k3_nfcont_1(A,B,D,E))
                          & k3_nfcont_1(A,B,k2_vfunct_1(u1_struct_0(A),B,C,D),E) = k4_normsp_1(B,k3_nfcont_1(A,B,C,E),k3_nfcont_1(A,B,D,E)) ) ) ) ) ) ) ) )).

fof(t20_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                       => k3_nfcont_1(A,B,k4_vfunct_1(u1_struct_0(A),B,C,E),D) = k6_normsp_1(B,k3_nfcont_1(A,B,C,D),E) ) ) ) ) ) ) )).

fof(t21_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                    & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                 => ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(A),D),k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                   => ( k7_normsp_1(B,k3_nfcont_1(A,B,C,D)) = k4_nfcont_1(A,k2_nfcont_1(A,B,C),D)
                      & k1_nfcont_1(B,k3_nfcont_1(A,B,C,D)) = k3_nfcont_1(A,B,k6_vfunct_1(u1_struct_0(A),B,C),D) ) ) ) ) ) ) )).

fof(t22_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ( ( r1_nfcont_1(B,A,C,E)
                          & r1_nfcont_1(B,A,D,E) )
                       => ( r1_nfcont_1(B,A,k1_vfunct_1(u1_struct_0(B),A,C,D),E)
                          & r1_nfcont_1(B,A,k2_vfunct_1(u1_struct_0(B),A,C,D),E) ) ) ) ) ) ) ) )).

fof(t23_nfcont_1,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v3_rlvect_1(C)
                & v4_rlvect_1(C)
                & v5_rlvect_1(C)
                & v6_rlvect_1(C)
                & v7_rlvect_1(C)
                & v2_normsp_1(C)
                & l1_normsp_1(C) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,u1_struct_0(C),u1_struct_0(B)) )
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(C))
                     => ( r1_nfcont_1(C,B,D,E)
                       => r1_nfcont_1(C,B,k4_vfunct_1(u1_struct_0(C),B,D,A),E) ) ) ) ) ) ) )).

fof(t24_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r1_nfcont_1(B,A,C,D)
                   => ( r2_nfcont_1(B,k2_nfcont_1(B,A,C),D)
                      & r1_nfcont_1(B,A,k6_vfunct_1(u1_struct_0(B),A,C),D) ) ) ) ) ) ) )).

fof(d11_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( r3_nfcont_1(A,B,C,D)
                <=> ( r1_tarski(D,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                    & ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ( r2_hidden(E,D)
                         => r1_nfcont_1(A,B,k2_partfun1(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) ) )).

fof(d12_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ! [C] :
              ( r4_nfcont_1(A,B,C)
            <=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
                & ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_hidden(D,C)
                     => r2_nfcont_1(A,k2_partfun1(u1_struct_0(A),k1_numbers,B,C),D) ) ) ) ) ) ) )).

fof(t25_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C,D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
             => ( r3_nfcont_1(B,A,D,C)
              <=> ( r1_tarski(C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),D))
                  & ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k5_numbers,u1_struct_0(B))
                        & m2_relset_1(E,k5_numbers,u1_struct_0(B)) )
                     => ( ( r1_tarski(k5_relset_1(k5_numbers,u1_struct_0(B),E),C)
                          & v4_normsp_1(E,B)
                          & r2_hidden(k8_normsp_1(B,E),C) )
                       => ( v4_normsp_1(k3_nfcont_1(B,A,D,E),A)
                          & k4_finseq_4(u1_struct_0(B),u1_struct_0(A),D,k8_normsp_1(B,E)) = k8_normsp_1(A,k3_nfcont_1(B,A,D,E)) ) ) ) ) ) ) ) ) )).

fof(t26_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(C),u1_struct_0(B)) )
             => ( r3_nfcont_1(C,B,D,A)
              <=> ( r1_tarski(A,k4_relset_1(u1_struct_0(C),u1_struct_0(B),D))
                  & ! [E] :
                      ( m1_subset_1(E,u1_struct_0(C))
                     => ! [F] :
                          ( m1_subset_1(F,k1_numbers)
                         => ~ ( r2_hidden(E,A)
                              & ~ r1_xreal_0(F,np__0)
                              & ! [G] :
                                  ( m1_subset_1(G,k1_numbers)
                                 => ~ ( ~ r1_xreal_0(G,np__0)
                                      & ! [H] :
                                          ( m1_subset_1(H,u1_struct_0(C))
                                         => ~ ( r2_hidden(H,A)
                                              & ~ r1_xreal_0(G,k1_normsp_1(C,k6_rlvect_1(C,H,E)))
                                              & r1_xreal_0(F,k1_normsp_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(C),u1_struct_0(B),D,H),k4_finseq_4(u1_struct_0(C),u1_struct_0(B),D,E)))) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t27_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & m2_relset_1(C,u1_struct_0(B),k1_numbers) )
         => ( r4_nfcont_1(B,C,A)
          <=> ( r1_tarski(A,k4_relset_1(u1_struct_0(B),k1_numbers,C))
              & ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ~ ( r2_hidden(D,A)
                          & ~ r1_xreal_0(E,np__0)
                          & ! [F] :
                              ( m1_subset_1(F,k1_numbers)
                             => ~ ( ~ r1_xreal_0(F,np__0)
                                  & ! [G] :
                                      ( m1_subset_1(G,u1_struct_0(B))
                                     => ~ ( r2_hidden(G,A)
                                          & ~ r1_xreal_0(F,k1_normsp_1(B,k6_rlvect_1(B,G,D)))
                                          & r1_xreal_0(E,k18_complex1(k5_real_1(k4_finseq_4(u1_struct_0(B),k1_numbers,C,G),k4_finseq_4(u1_struct_0(B),k1_numbers,C,D)))) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t28_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
             => ( r3_nfcont_1(B,C,D,A)
              <=> r3_nfcont_1(B,C,k2_partfun1(u1_struct_0(B),u1_struct_0(C),D,A),A) ) ) ) ) )).

fof(t29_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & m2_relset_1(C,u1_struct_0(B),k1_numbers) )
         => ( r4_nfcont_1(B,C,A)
          <=> r4_nfcont_1(B,k2_partfun1(u1_struct_0(B),k1_numbers,C,A),A) ) ) ) )).

fof(t30_nfcont_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(C)
        & v3_rlvect_1(C)
        & v4_rlvect_1(C)
        & v5_rlvect_1(C)
        & v6_rlvect_1(C)
        & v7_rlvect_1(C)
        & v2_normsp_1(C)
        & l1_normsp_1(C) )
     => ! [D] :
          ( ( ~ v3_struct_0(D)
            & v3_rlvect_1(D)
            & v4_rlvect_1(D)
            & v5_rlvect_1(D)
            & v6_rlvect_1(D)
            & v7_rlvect_1(D)
            & v2_normsp_1(D)
            & l1_normsp_1(D) )
         => ! [E] :
              ( ( v1_funct_1(E)
                & m2_relset_1(E,u1_struct_0(C),u1_struct_0(D)) )
             => ( ( r3_nfcont_1(C,D,E,A)
                  & r1_tarski(B,A) )
               => r3_nfcont_1(C,D,E,B) ) ) ) ) )).

fof(t31_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                   => r3_nfcont_1(B,A,C,k1_struct_0(B,D)) ) ) ) ) ) )).

fof(t32_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C,D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
             => ! [E] :
                  ( ( v1_funct_1(E)
                    & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
                 => ( ( r3_nfcont_1(B,A,D,C)
                      & r3_nfcont_1(B,A,E,C) )
                   => ( r3_nfcont_1(B,A,k1_vfunct_1(u1_struct_0(B),A,D,E),C)
                      & r3_nfcont_1(B,A,k2_vfunct_1(u1_struct_0(B),A,D,E),C) ) ) ) ) ) ) )).

fof(t33_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C,D,E] :
              ( ( v1_funct_1(E)
                & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
             => ! [F] :
                  ( ( v1_funct_1(F)
                    & m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) )
                 => ( ( r3_nfcont_1(B,A,E,C)
                      & r3_nfcont_1(B,A,F,D) )
                   => ( r3_nfcont_1(B,A,k1_vfunct_1(u1_struct_0(B),A,E,F),k3_xboole_0(C,D))
                      & r3_nfcont_1(B,A,k2_vfunct_1(u1_struct_0(B),A,E,F),k3_xboole_0(C,D)) ) ) ) ) ) ) )).

fof(t34_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ! [D,E] :
                  ( ( v1_funct_1(E)
                    & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
                 => ( r3_nfcont_1(B,A,E,D)
                   => r3_nfcont_1(B,A,k4_vfunct_1(u1_struct_0(B),A,E,C),D) ) ) ) ) ) )).

fof(t35_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
             => ( r3_nfcont_1(B,C,D,A)
               => ( r4_nfcont_1(B,k2_nfcont_1(B,C,D),A)
                  & r3_nfcont_1(B,C,k6_vfunct_1(u1_struct_0(B),C,D),A) ) ) ) ) ) )).

fof(t36_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ( ( v1_partfun1(C,u1_struct_0(B),u1_struct_0(A))
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(B))
                         => k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,k4_rlvect_1(B,D,E)) = k4_rlvect_1(A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D),k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,E)) ) ) )
               => ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ~ r1_nfcont_1(B,A,C,D) )
                  | r3_nfcont_1(B,A,C,u1_struct_0(B)) ) ) ) ) ) )).

fof(t37_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ( ( v1_nfcont_1(k4_relset_1(u1_struct_0(B),u1_struct_0(A),C),B)
                  & r3_nfcont_1(B,A,C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C)) )
               => v1_nfcont_1(k5_relset_1(u1_struct_0(B),u1_struct_0(A),C),A) ) ) ) ) )).

fof(t38_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ( ( v1_nfcont_1(k4_relset_1(u1_struct_0(A),k1_numbers,B),A)
              & r4_nfcont_1(A,B,k4_relset_1(u1_struct_0(A),k1_numbers,B)) )
           => v1_rcomp_1(k5_relset_1(u1_struct_0(A),k1_numbers,B)) ) ) ) )).

fof(t39_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( ( r1_tarski(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                      & v1_nfcont_1(D,B)
                      & r3_nfcont_1(B,A,C,D) )
                   => v1_nfcont_1(k10_relset_1(u1_struct_0(B),u1_struct_0(A),C,D),A) ) ) ) ) ) )).

fof(t40_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ~ ( k4_relset_1(u1_struct_0(A),k1_numbers,B) != k1_xboole_0
              & v1_nfcont_1(k4_relset_1(u1_struct_0(A),k1_numbers,B),A)
              & r4_nfcont_1(A,B,k4_relset_1(u1_struct_0(A),k1_numbers,B))
              & ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ~ ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
                          & r2_hidden(D,k4_relset_1(u1_struct_0(A),k1_numbers,B))
                          & k4_finseq_4(u1_struct_0(A),k1_numbers,B,C) = k4_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,B))
                          & k4_finseq_4(u1_struct_0(A),k1_numbers,B,D) = k5_seq_4(k5_relset_1(u1_struct_0(A),k1_numbers,B)) ) ) ) ) ) ) )).

fof(t41_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ~ ( k4_relset_1(u1_struct_0(B),u1_struct_0(A),C) != k1_xboole_0
                  & v1_nfcont_1(k4_relset_1(u1_struct_0(B),u1_struct_0(A),C),B)
                  & r3_nfcont_1(B,A,C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(B))
                         => ~ ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                              & r2_hidden(E,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                              & k4_finseq_4(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C),D) = k4_seq_4(k5_relset_1(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C)))
                              & k4_finseq_4(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C),E) = k5_seq_4(k5_relset_1(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C))) ) ) ) ) ) ) ) )).

fof(t42_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
             => k2_partfun1(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,C,D),A) = k2_nfcont_1(B,C,k2_partfun1(u1_struct_0(B),u1_struct_0(C),D,A)) ) ) ) )).

fof(t43_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ~ ( D != k1_xboole_0
                      & r1_tarski(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                      & v1_nfcont_1(D,B)
                      & r3_nfcont_1(B,A,C,D)
                      & ! [E] :
                          ( m1_subset_1(E,u1_struct_0(B))
                         => ! [F] :
                              ( m1_subset_1(F,u1_struct_0(B))
                             => ~ ( r2_hidden(E,D)
                                  & r2_hidden(F,D)
                                  & k4_finseq_4(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C),E) = k4_seq_4(k10_relset_1(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C),D))
                                  & k4_finseq_4(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C),F) = k5_seq_4(k10_relset_1(u1_struct_0(B),k1_numbers,k2_nfcont_1(B,A,C),D)) ) ) ) ) ) ) ) ) )).

fof(t44_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ~ ( C != k1_xboole_0
                  & r1_tarski(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
                  & v1_nfcont_1(C,A)
                  & r4_nfcont_1(A,B,C)
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(A))
                         => ~ ( r2_hidden(D,C)
                              & r2_hidden(E,C)
                              & k4_finseq_4(u1_struct_0(A),k1_numbers,B,D) = k4_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,B,C))
                              & k4_finseq_4(u1_struct_0(A),k1_numbers,B,E) = k5_seq_4(k10_relset_1(u1_struct_0(A),k1_numbers,B,C)) ) ) ) ) ) ) ) )).

fof(d13_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C,D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
             => ( r5_nfcont_1(A,B,C,D)
              <=> ( r1_tarski(C,k4_relset_1(u1_struct_0(A),u1_struct_0(B),D))
                  & ? [E] :
                      ( m1_subset_1(E,k1_numbers)
                      & ~ r1_xreal_0(E,np__0)
                      & ! [F] :
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(A))
                             => ( ( r2_hidden(F,C)
                                  & r2_hidden(G,C) )
                               => r1_xreal_0(k1_normsp_1(B,k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,F),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,G))),k4_real_1(E,k1_normsp_1(A,k6_rlvect_1(A,F,G)))) ) ) ) ) ) ) ) ) ) )).

fof(d14_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B,C] :
          ( ( v1_funct_1(C)
            & m2_relset_1(C,u1_struct_0(A),k1_numbers) )
         => ( r6_nfcont_1(A,B,C)
          <=> ( r1_tarski(B,k4_relset_1(u1_struct_0(A),k1_numbers,C))
              & ? [D] :
                  ( m1_subset_1(D,k1_numbers)
                  & ~ r1_xreal_0(D,np__0)
                  & ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(A))
                         => ( ( r2_hidden(E,B)
                              & r2_hidden(F,B) )
                           => r1_xreal_0(k18_complex1(k5_real_1(k4_finseq_4(u1_struct_0(A),k1_numbers,C,E),k4_finseq_4(u1_struct_0(A),k1_numbers,C,F))),k4_real_1(D,k1_normsp_1(A,k6_rlvect_1(A,E,F)))) ) ) ) ) ) ) ) ) )).

fof(t45_nfcont_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(C)
        & v3_rlvect_1(C)
        & v4_rlvect_1(C)
        & v5_rlvect_1(C)
        & v6_rlvect_1(C)
        & v7_rlvect_1(C)
        & v2_normsp_1(C)
        & l1_normsp_1(C) )
     => ! [D] :
          ( ( ~ v3_struct_0(D)
            & v3_rlvect_1(D)
            & v4_rlvect_1(D)
            & v5_rlvect_1(D)
            & v6_rlvect_1(D)
            & v7_rlvect_1(D)
            & v2_normsp_1(D)
            & l1_normsp_1(D) )
         => ! [E] :
              ( ( v1_funct_1(E)
                & m2_relset_1(E,u1_struct_0(C),u1_struct_0(D)) )
             => ( ( r5_nfcont_1(C,D,A,E)
                  & r1_tarski(B,A) )
               => r5_nfcont_1(C,D,B,E) ) ) ) ) )).

fof(t46_nfcont_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(C)
        & v3_rlvect_1(C)
        & v4_rlvect_1(C)
        & v5_rlvect_1(C)
        & v6_rlvect_1(C)
        & v7_rlvect_1(C)
        & v2_normsp_1(C)
        & l1_normsp_1(C) )
     => ! [D] :
          ( ( ~ v3_struct_0(D)
            & v3_rlvect_1(D)
            & v4_rlvect_1(D)
            & v5_rlvect_1(D)
            & v6_rlvect_1(D)
            & v7_rlvect_1(D)
            & v2_normsp_1(D)
            & l1_normsp_1(D) )
         => ! [E] :
              ( ( v1_funct_1(E)
                & m2_relset_1(E,u1_struct_0(C),u1_struct_0(D)) )
             => ! [F] :
                  ( ( v1_funct_1(F)
                    & m2_relset_1(F,u1_struct_0(C),u1_struct_0(D)) )
                 => ( ( r5_nfcont_1(C,D,A,E)
                      & r5_nfcont_1(C,D,B,F) )
                   => r5_nfcont_1(C,D,k3_xboole_0(A,B),k1_vfunct_1(u1_struct_0(C),D,E,F)) ) ) ) ) ) )).

fof(t47_nfcont_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(C)
        & v3_rlvect_1(C)
        & v4_rlvect_1(C)
        & v5_rlvect_1(C)
        & v6_rlvect_1(C)
        & v7_rlvect_1(C)
        & v2_normsp_1(C)
        & l1_normsp_1(C) )
     => ! [D] :
          ( ( ~ v3_struct_0(D)
            & v3_rlvect_1(D)
            & v4_rlvect_1(D)
            & v5_rlvect_1(D)
            & v6_rlvect_1(D)
            & v7_rlvect_1(D)
            & v2_normsp_1(D)
            & l1_normsp_1(D) )
         => ! [E] :
              ( ( v1_funct_1(E)
                & m2_relset_1(E,u1_struct_0(C),u1_struct_0(D)) )
             => ! [F] :
                  ( ( v1_funct_1(F)
                    & m2_relset_1(F,u1_struct_0(C),u1_struct_0(D)) )
                 => ( ( r5_nfcont_1(C,D,A,E)
                      & r5_nfcont_1(C,D,B,F) )
                   => r5_nfcont_1(C,D,k3_xboole_0(A,B),k2_vfunct_1(u1_struct_0(C),D,E,F)) ) ) ) ) ) )).

fof(t48_nfcont_1,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( ~ v3_struct_0(D)
                & v3_rlvect_1(D)
                & v4_rlvect_1(D)
                & v5_rlvect_1(D)
                & v6_rlvect_1(D)
                & v7_rlvect_1(D)
                & v2_normsp_1(D)
                & l1_normsp_1(D) )
             => ! [E] :
                  ( ( v1_funct_1(E)
                    & m2_relset_1(E,u1_struct_0(C),u1_struct_0(D)) )
                 => ( r5_nfcont_1(C,D,A,E)
                   => r5_nfcont_1(C,D,A,k4_vfunct_1(u1_struct_0(C),D,E,B)) ) ) ) ) ) )).

fof(t49_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
             => ( r5_nfcont_1(B,C,A,D)
               => ( r5_nfcont_1(B,C,A,k6_vfunct_1(u1_struct_0(B),C,D))
                  & r6_nfcont_1(B,A,k2_nfcont_1(B,C,D)) ) ) ) ) ) )).

fof(t50_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
             => ( ( r1_tarski(A,k4_relset_1(u1_struct_0(B),u1_struct_0(C),D))
                  & r1_partfun2(u1_struct_0(B),u1_struct_0(C),D,A) )
               => r5_nfcont_1(B,C,A,D) ) ) ) ) )).

fof(t51_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => r5_nfcont_1(A,A,B,k1_partfun2(u1_struct_0(A),B)) ) ) )).

fof(t52_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
             => ( r5_nfcont_1(B,C,A,D)
               => r3_nfcont_1(B,C,D,A) ) ) ) ) )).

fof(t53_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & m2_relset_1(C,u1_struct_0(B),k1_numbers) )
         => ( r6_nfcont_1(B,A,C)
           => r4_nfcont_1(B,C,A) ) ) ) )).

fof(t54_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ( ? [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                    & k5_relset_1(u1_struct_0(B),u1_struct_0(A),C) = k1_struct_0(A,D) )
               => r3_nfcont_1(B,A,C,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C)) ) ) ) ) )).

fof(t55_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( ~ v3_struct_0(C)
            & v3_rlvect_1(C)
            & v4_rlvect_1(C)
            & v5_rlvect_1(C)
            & v6_rlvect_1(C)
            & v7_rlvect_1(C)
            & v2_normsp_1(C)
            & l1_normsp_1(C) )
         => ! [D] :
              ( ( v1_funct_1(D)
                & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
             => ( ( r1_tarski(A,k4_relset_1(u1_struct_0(B),u1_struct_0(C),D))
                  & r1_partfun2(u1_struct_0(B),u1_struct_0(C),D,A) )
               => r3_nfcont_1(B,C,D,A) ) ) ) ) )).

fof(t56_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ( r2_hidden(C,k4_relset_1(u1_struct_0(A),u1_struct_0(A),B))
                 => k4_finseq_4(u1_struct_0(A),u1_struct_0(A),B,C) = C ) )
           => r3_nfcont_1(A,A,B,k4_relset_1(u1_struct_0(A),u1_struct_0(A),B)) ) ) ) )).

fof(t57_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( B = k1_partfun2(u1_struct_0(A),k4_relset_1(u1_struct_0(A),u1_struct_0(A),B))
           => r3_nfcont_1(A,A,B,k4_relset_1(u1_struct_0(A),u1_struct_0(A),B)) ) ) ) )).

fof(t58_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
             => ( ( r1_tarski(B,k4_relset_1(u1_struct_0(A),u1_struct_0(A),C))
                  & k2_partfun1(u1_struct_0(A),u1_struct_0(A),C,B) = k1_partfun2(u1_struct_0(A),B) )
               => r3_nfcont_1(A,A,C,B) ) ) ) ) )).

fof(t59_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & m2_relset_1(C,u1_struct_0(B),u1_struct_0(B)) )
         => ! [D] :
              ( m1_subset_1(D,k1_numbers)
             => ! [E] :
                  ( m1_subset_1(E,u1_struct_0(B))
                 => ( ( r1_tarski(A,k4_relset_1(u1_struct_0(B),u1_struct_0(B),C))
                      & ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ( r2_hidden(F,A)
                           => k4_finseq_4(u1_struct_0(B),u1_struct_0(B),C,F) = k4_rlvect_1(B,k3_rlvect_1(B,F,D),E) ) ) )
                   => r3_nfcont_1(B,B,C,A) ) ) ) ) ) )).

fof(t60_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & m2_relset_1(B,u1_struct_0(A),k1_numbers) )
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ( r2_hidden(C,k4_relset_1(u1_struct_0(A),k1_numbers,B))
                 => k4_finseq_4(u1_struct_0(A),k1_numbers,B,C) = k1_normsp_1(A,C) ) )
           => r4_nfcont_1(A,B,k4_relset_1(u1_struct_0(A),k1_numbers,B)) ) ) ) )).

fof(t61_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & m2_relset_1(C,u1_struct_0(B),k1_numbers) )
         => ( ( r1_tarski(A,k4_relset_1(u1_struct_0(B),k1_numbers,C))
              & ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r2_hidden(D,A)
                   => k4_finseq_4(u1_struct_0(B),k1_numbers,C,D) = k1_normsp_1(B,D) ) ) )
           => r4_nfcont_1(B,C,A) ) ) ) )).

fof(dt_m1_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ! [C] :
          ( m1_nfcont_1(C,A,B)
         => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).

fof(existence_m1_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ? [C] : m1_nfcont_1(C,A,B) ) )).

fof(dt_k1_nfcont_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & m1_relset_1(B,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k1_nfcont_1(A,B))
        & v1_funct_2(k1_nfcont_1(A,B),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k1_nfcont_1(A,B),k5_numbers,u1_struct_0(A)) ) ) )).

fof(dt_k2_nfcont_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & v1_funct_1(C)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
     => ( v1_funct_1(k2_nfcont_1(A,B,C))
        & m2_relset_1(k2_nfcont_1(A,B,C),u1_struct_0(A),k1_numbers) ) ) )).

fof(dt_k3_nfcont_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & v1_funct_1(C)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & v1_funct_1(D)
        & v1_funct_2(D,k5_numbers,u1_struct_0(A))
        & m1_relset_1(D,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k3_nfcont_1(A,B,C,D))
        & v1_funct_2(k3_nfcont_1(A,B,C,D),k5_numbers,u1_struct_0(B))
        & m2_relset_1(k3_nfcont_1(A,B,C,D),k5_numbers,u1_struct_0(B)) ) ) )).

fof(dt_k4_nfcont_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & v1_funct_1(B)
        & m1_relset_1(B,u1_struct_0(A),k1_numbers)
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,u1_struct_0(A))
        & m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k4_nfcont_1(A,B,C))
        & v1_funct_2(k4_nfcont_1(A,B,C),k5_numbers,k1_numbers)
        & m2_relset_1(k4_nfcont_1(A,B,C),k5_numbers,k1_numbers) ) ) )).

fof(d3_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( m1_nfcont_1(C,A,B)
              <=> ? [D] :
                    ( m1_subset_1(D,k1_numbers)
                    & ~ r1_xreal_0(D,np__0)
                    & r1_tarski(a_3_0_nfcont_1(A,B,D),C) ) ) ) ) ) )).

fof(t3_nfcont_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ( ~ r1_xreal_0(C,np__0)
               => m1_nfcont_1(a_3_0_nfcont_1(A,B,C),A,B) ) ) ) ) )).

fof(fraenkel_a_3_0_nfcont_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & m1_subset_1(C,u1_struct_0(B))
        & m1_subset_1(D,k1_numbers) )
     => ( r2_hidden(A,a_3_0_nfcont_1(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(B))
            & A = E
            & ~ r1_xreal_0(D,k1_normsp_1(B,k6_rlvect_1(B,E,C))) ) ) ) )).
%------------------------------------------------------------------------------