SET007 Axioms: SET007+824.ax


%------------------------------------------------------------------------------
% File     : SET007+824 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Complex Banach Space of Bounded Linear Operators
% 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    : clopban1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   98 (   2 unit)
%            Number of atoms       : 1708 (  68 equality)
%            Maximal formula depth :   26 (  14 average)
%            Number of connectives : 1816 ( 206 ~  ;   0  |;1329  &)
%                                         (  22 <=>; 259 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   36 (   1 propositional; 0-4 arity)
%            Number of functors    :   57 (   6 constant; 0-6 arity)
%            Number of variables   :  320 (   0 singleton; 313 !;   7 ?)
%            Maximal term depth    :    7 (   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(fc1_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k3_clopban1(A,B))
        & v3_rlvect_1(k3_clopban1(A,B))
        & v4_rlvect_1(k3_clopban1(A,B))
        & v5_rlvect_1(k3_clopban1(A,B))
        & v6_rlvect_1(k3_clopban1(A,B))
        & v1_clvect_1(k3_clopban1(A,B))
        & v2_clvect_1(k3_clopban1(A,B)) ) ) )).

fof(fc2_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k3_clopban1(A,B))
        & v3_rlvect_1(k3_clopban1(A,B))
        & v4_rlvect_1(k3_clopban1(A,B))
        & v5_rlvect_1(k3_clopban1(A,B))
        & v6_rlvect_1(k3_clopban1(A,B))
        & v1_clvect_1(k3_clopban1(A,B))
        & v2_clvect_1(k3_clopban1(A,B))
        & v1_monoid_0(k3_clopban1(A,B)) ) ) )).

fof(rc1_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ? [C] :
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_clopban1(C,A,B)
          & v2_clopban1(C,A,B) ) ) )).

fof(fc3_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v1_xboole_0(k5_clopban1(A,B))
        & v1_fraenkel(k5_clopban1(A,B)) ) ) )).

fof(fc4_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v3_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v4_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v5_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v6_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v1_clvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v2_clvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) ) ) )).

fof(fc5_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k6_clopban1(A,B))
        & v3_rlvect_1(k6_clopban1(A,B))
        & v4_rlvect_1(k6_clopban1(A,B))
        & v5_rlvect_1(k6_clopban1(A,B))
        & v6_rlvect_1(k6_clopban1(A,B))
        & v1_clvect_1(k6_clopban1(A,B))
        & v2_clvect_1(k6_clopban1(A,B)) ) ) )).

fof(fc6_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k6_clopban1(A,B))
        & v3_rlvect_1(k6_clopban1(A,B))
        & v4_rlvect_1(k6_clopban1(A,B))
        & v5_rlvect_1(k6_clopban1(A,B))
        & v6_rlvect_1(k6_clopban1(A,B))
        & v1_clvect_1(k6_clopban1(A,B))
        & v2_clvect_1(k6_clopban1(A,B))
        & v1_monoid_0(k6_clopban1(A,B)) ) ) )).

fof(rc2_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ? [C] :
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_clopban1(C,A,B)
          & v2_clopban1(C,A,B)
          & v3_clopban1(C,A,B) ) ) )).

fof(fc7_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ~ v1_xboole_0(k8_clopban1(A,B)) ) )).

fof(fc8_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( ~ v3_struct_0(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v3_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v4_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v5_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v6_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v1_clvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v2_clvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) ) ) )).

fof(fc9_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( ~ v3_struct_0(k9_clopban1(A,B))
        & v3_rlvect_1(k9_clopban1(A,B))
        & v4_rlvect_1(k9_clopban1(A,B))
        & v5_rlvect_1(k9_clopban1(A,B))
        & v6_rlvect_1(k9_clopban1(A,B))
        & v1_clvect_1(k9_clopban1(A,B))
        & v2_clvect_1(k9_clopban1(A,B)) ) ) )).

fof(cc1_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ! [C] :
          ( m1_subset_1(C,u1_struct_0(k9_clopban1(A,B)))
         => ( v1_relat_1(C)
            & v1_funct_1(C) ) ) ) )).

fof(cc2_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ! [C] :
          ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
         => ( v1_relat_1(C)
            & v1_funct_1(C) ) ) ) )).

fof(fc10_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( ~ v3_struct_0(k14_clopban1(A,B))
        & v3_rlvect_1(k14_clopban1(A,B))
        & v4_rlvect_1(k14_clopban1(A,B))
        & v5_rlvect_1(k14_clopban1(A,B))
        & v6_rlvect_1(k14_clopban1(A,B))
        & v2_clvect_1(k14_clopban1(A,B))
        & v5_clvect_1(k14_clopban1(A,B)) ) ) )).

fof(rc3_clopban1,axiom,(
    ? [A] :
      ( l2_clvect_1(A)
      & ~ v3_struct_0(A)
      & v3_rlvect_1(A)
      & v4_rlvect_1(A)
      & v5_rlvect_1(A)
      & v6_rlvect_1(A)
      & v2_clvect_1(A)
      & v5_clvect_1(A)
      & v4_clopban1(A) ) )).

fof(fc11_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & v4_clopban1(B)
        & l2_clvect_1(B) )
     => ( ~ v3_struct_0(k14_clopban1(A,B))
        & v3_rlvect_1(k14_clopban1(A,B))
        & v4_rlvect_1(k14_clopban1(A,B))
        & v5_rlvect_1(k14_clopban1(A,B))
        & v6_rlvect_1(k14_clopban1(A,B))
        & v2_clvect_1(k14_clopban1(A,B))
        & v5_clvect_1(k14_clopban1(A,B))
        & v4_clopban1(k14_clopban1(A,B)) ) ) )).

fof(t1_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ? [C] :
              ( v1_funct_1(C)
              & v1_funct_2(C,k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
              & m2_relset_1(C,k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
              & ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => ! [E] :
                      ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                     => ! [F] :
                          ( m1_subset_1(F,A)
                         => k8_funct_2(A,u1_struct_0(B),k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),C,k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),D,E)),F) = k1_clvect_1(B,k8_funct_2(A,u1_struct_0(B),E,F),D) ) ) ) ) ) ) )).

fof(d1_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
                & m2_relset_1(C,k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) )
             => ( C = k2_clopban1(A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,k2_numbers)
                   => ! [E] :
                        ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                       => ! [F] :
                            ( m1_subset_1(F,A)
                           => k8_funct_2(A,u1_struct_0(B),k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),C,k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),D,E)),F) = k1_clvect_1(B,k8_funct_2(A,u1_struct_0(B),E,F),D) ) ) ) ) ) ) ) )).

fof(t2_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,A)
             => k8_funct_2(A,u1_struct_0(B),k4_lopban_1(A,B),C) = k1_rlvect_1(B) ) ) ) )).

fof(t3_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => ( C = k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),E,D))
                      <=> ! [F] :
                            ( m1_subset_1(F,A)
                           => k8_funct_2(A,u1_struct_0(B),C,F) = k1_clvect_1(B,k8_funct_2(A,u1_struct_0(B),D,F),E) ) ) ) ) ) ) ) )).

fof(t4_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D) = k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),D,C) ) ) ) ) )).

fof(t5_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m2_fraenkel(D,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                 => ! [E] :
                      ( m2_fraenkel(E,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
                     => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),D,E)) = k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,D),E) ) ) ) ) ) )).

fof(t6_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),k4_lopban_1(A,B),C) = C ) ) ) )).

fof(t7_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),C,k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k10_complex1(k6_complex1),C))) = k4_lopban_1(A,B) ) ) ) )).

fof(t8_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k6_complex1,C)) = C ) ) ) )).

fof(t9_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),D,k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),E,C)))) = k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k9_complex1(D,E),C)) ) ) ) ) ) )).

fof(t10_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m2_fraenkel(C,A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B)))
             => ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => k1_funcsdom(A,u1_struct_0(B),k2_lopban_1(A,B),k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),D,C)),k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),E,C))) = k2_funcsdom(A,u1_struct_0(B),k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k2_clopban1(A,B),k1_domain_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B)),k8_complex1(D,E),C)) ) ) ) ) ) )).

fof(t11_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ( ~ v3_struct_0(g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)))
            & v3_rlvect_1(g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)))
            & v4_rlvect_1(g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)))
            & v5_rlvect_1(g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)))
            & v6_rlvect_1(g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)))
            & v2_clvect_1(g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)))
            & l1_clvect_1(g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B))) ) ) ) )).

fof(d2_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => k3_clopban1(A,B) = g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)) ) ) )).

fof(t12_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k3_clopban1(A,B)))
                     => ( E = k4_rlvect_1(k3_clopban1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,A)
                           => k4_clopban1(A,B,E,F) = k4_rlvect_1(B,k4_clopban1(A,B,C,F),k4_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t13_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k3_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k3_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => ( D = k1_clvect_1(k3_clopban1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,A)
                           => k4_clopban1(A,B,D,F) = k1_clvect_1(B,k4_clopban1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t14_clopban1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => k1_rlvect_1(k3_clopban1(A,B)) = k2_funcop_1(A,k1_rlvect_1(B)) ) ) )).

fof(d3_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_rlvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v1_clopban1(C,A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_rlvect_1(A,D,E)) = k2_rlvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) )).

fof(d4_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v2_clopban1(C,A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] :
                        ( m1_subset_1(E,k2_numbers)
                       => k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k1_clvect_1(A,D,E)) = k1_clvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),E) ) ) ) ) ) ) )).

fof(d5_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_clopban1(u1_struct_0(A),B))))
             => ( C = k5_clopban1(A,B)
              <=> ! [D] :
                    ( r2_hidden(D,C)
                  <=> ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                      & v1_clopban1(D,A,B)
                      & v2_clopban1(D,A,B)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) )).

fof(t15_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => v3_clvect_1(k5_clopban1(A,B),k3_clopban1(u1_struct_0(A),B)) ) ) )).

fof(t16_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => m1_clvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))),k3_clopban1(u1_struct_0(A),B)) ) ) )).

fof(d6_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => k6_clopban1(A,B) = g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))) ) ) )).

fof(t17_clopban1,axiom,(
    $true )).

fof(t18_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k6_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k6_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k6_clopban1(A,B)))
                     => ( E = k4_rlvect_1(k6_clopban1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k7_clopban1(A,B,E,F) = k4_rlvect_1(B,k7_clopban1(A,B,C,F),k7_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t19_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k6_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k6_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => ( D = k1_clvect_1(k6_clopban1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k7_clopban1(A,B,D,F) = k1_clvect_1(B,k7_clopban1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t20_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => k1_rlvect_1(k6_clopban1(A,B)) = k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)) ) ) )).

fof(t21_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ( v1_funct_1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)))
            & v1_funct_2(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),u1_struct_0(A),u1_struct_0(B))
            & v1_clopban1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),A,B)
            & v2_clopban1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),A,B)
            & m2_relset_1(k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)),u1_struct_0(A),u1_struct_0(B)) ) ) ) )).

fof(t22_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_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] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ( v6_clvect_1(B,A)
                  & k11_clvect_1(A,B) = C )
               => ( v4_seq_2(k10_clvect_1(A,B))
                  & k2_seq_2(k10_clvect_1(A,B)) = k5_clvect_1(A,C) ) ) ) ) ) )).

fof(d7_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_clopban1(C,A,B)
                & v2_clopban1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v3_clopban1(C,A,B)
              <=> ? [D] :
                    ( m1_subset_1(D,k1_numbers)
                    & r1_xreal_0(np__0,D)
                    & ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => r1_xreal_0(k5_clvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)),k4_real_1(D,k5_clvect_1(A,E))) ) ) ) ) ) ) )).

fof(t23_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_clopban1(C,A,B)
                & v2_clopban1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = k1_rlvect_1(B) )
               => v3_clopban1(C,A,B) ) ) ) ) )).

fof(d8_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_clopban1(A,B))))
             => ( C = k8_clopban1(A,B)
              <=> ! [D] :
                    ( r2_hidden(D,C)
                  <=> ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                      & v1_clopban1(D,A,B)
                      & v2_clopban1(D,A,B)
                      & v3_clopban1(D,A,B)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) )).

fof(t24_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => v3_clvect_1(k8_clopban1(A,B),k6_clopban1(A,B)) ) ) )).

fof(t25_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => m1_clvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))),k6_clopban1(A,B)) ) ) )).

fof(d9_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => k9_clopban1(A,B) = g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))) ) ) )).

fof(t26_clopban1,axiom,(
    $true )).

fof(t27_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k9_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k9_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k9_clopban1(A,B)))
                     => ( E = k4_rlvect_1(k9_clopban1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k10_clopban1(A,B,E,F) = k4_rlvect_1(B,k10_clopban1(A,B,C,F),k10_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t28_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k9_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k9_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => ( D = k1_clvect_1(k9_clopban1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k10_clopban1(A,B,D,F) = k1_clvect_1(B,k10_clopban1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t29_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => k1_rlvect_1(k9_clopban1(A,B)) = k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)) ) ) )).

fof(d10_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( r2_hidden(C,k8_clopban1(A,B))
             => k11_clopban1(A,B,C) = C ) ) ) )).

fof(t30_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_clopban1(C,A,B)
                & v2_clopban1(C,A,B)
                & v3_clopban1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( ~ v1_xboole_0(k12_clopban1(A,B,C))
                & v1_seq_4(k12_clopban1(A,B,C)) ) ) ) ) )).

fof(t31_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_clopban1(C,A,B)
                & v2_clopban1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v3_clopban1(C,A,B)
              <=> v1_seq_4(k12_clopban1(A,B,C)) ) ) ) ) )).

fof(t32_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ? [C] :
              ( v1_funct_1(C)
              & v1_funct_2(C,k8_clopban1(A,B),k1_numbers)
              & m2_relset_1(C,k8_clopban1(A,B),k1_numbers)
              & ! [D] :
                  ( r2_hidden(D,k8_clopban1(A,B))
                 => k2_seq_1(k8_clopban1(A,B),k1_numbers,C,D) = k3_pscomp_1(k12_clopban1(A,B,k11_clopban1(A,B,D))) ) ) ) ) )).

fof(d12_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k8_clopban1(A,B),k1_numbers)
                & m2_relset_1(C,k8_clopban1(A,B),k1_numbers) )
             => ( C = k13_clopban1(A,B)
              <=> ! [D] :
                    ( r2_hidden(D,k8_clopban1(A,B))
                   => k2_seq_1(k8_clopban1(A,B),k1_numbers,C,D) = k3_pscomp_1(k12_clopban1(A,B,k11_clopban1(A,B,D))) ) ) ) ) ) )).

fof(t33_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_clopban1(C,A,B)
                & v2_clopban1(C,A,B)
                & v3_clopban1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => k11_clopban1(A,B,C) = C ) ) ) )).

fof(t34_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_clopban1(C,A,B)
                & v2_clopban1(C,A,B)
                & v3_clopban1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => k2_seq_1(k8_clopban1(A,B),k1_numbers,k13_clopban1(A,B),C) = k3_pscomp_1(k12_clopban1(A,B,C)) ) ) ) )).

fof(d13_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => k14_clopban1(A,B) = g2_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k13_clopban1(A,B)) ) ) )).

fof(t35_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)) = k1_rlvect_1(k14_clopban1(A,B)) ) ) )).

fof(t36_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & v1_clopban1(D,A,B)
                    & v2_clopban1(D,A,B)
                    & v3_clopban1(D,A,B)
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ( D = C
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => r1_xreal_0(k5_clvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,E)),k4_real_1(k5_clvect_1(k14_clopban1(A,B),C),k5_clvect_1(A,E))) ) ) ) ) ) ) )).

fof(t37_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
             => r1_xreal_0(np__0,k5_clvect_1(k14_clopban1(A,B),C)) ) ) ) )).

fof(t38_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
             => ( C = k1_rlvect_1(k14_clopban1(A,B))
               => np__0 = k5_clvect_1(k14_clopban1(A,B),C) ) ) ) ) )).

fof(t39_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k14_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k14_clopban1(A,B)))
                     => ( E = k2_rlvect_1(k14_clopban1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k15_clopban1(A,B,E,F) = k4_rlvect_1(B,k15_clopban1(A,B,C,F),k15_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(t40_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k14_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => ( D = k1_clvect_1(k14_clopban1(A,B),C,E)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k15_clopban1(A,B,D,F) = k1_clvect_1(B,k15_clopban1(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t41_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k14_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => ( ( k5_clvect_1(k14_clopban1(A,B),C) = np__0
                         => C = k1_rlvect_1(k14_clopban1(A,B)) )
                        & ( C = k1_rlvect_1(k14_clopban1(A,B))
                         => k5_clvect_1(k14_clopban1(A,B),C) = np__0 )
                        & k5_clvect_1(k14_clopban1(A,B),k1_clvect_1(k14_clopban1(A,B),C,E)) = k4_real_1(k17_complex1(E),k5_clvect_1(k14_clopban1(A,B),C))
                        & r1_xreal_0(k5_clvect_1(k14_clopban1(A,B),k2_rlvect_1(k14_clopban1(A,B),C,D)),k3_real_1(k5_clvect_1(k14_clopban1(A,B),C),k5_clvect_1(k14_clopban1(A,B),D))) ) ) ) ) ) ) )).

fof(t42_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => v5_clvect_1(k14_clopban1(A,B)) ) ) )).

fof(t43_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ( ~ v3_struct_0(k14_clopban1(A,B))
            & v3_rlvect_1(k14_clopban1(A,B))
            & v4_rlvect_1(k14_clopban1(A,B))
            & v5_rlvect_1(k14_clopban1(A,B))
            & v6_rlvect_1(k14_clopban1(A,B))
            & v2_clvect_1(k14_clopban1(A,B))
            & v5_clvect_1(k14_clopban1(A,B))
            & l2_clvect_1(k14_clopban1(A,B)) ) ) ) )).

fof(t44_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k14_clopban1(A,B)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k14_clopban1(A,B)))
                     => ( E = k6_rlvect_1(k14_clopban1(A,B),C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => k15_clopban1(A,B,E,F) = k6_rlvect_1(B,k15_clopban1(A,B,C,F),k15_clopban1(A,B,D,F)) ) ) ) ) ) ) ) )).

fof(d14_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ( v4_clopban1(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)) )
           => ( v1_csspace3(B,A)
             => v6_clvect_1(B,A) ) ) ) ) )).

fof(t45_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_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)) )
         => ( v6_clvect_1(B,A)
           => ( v4_seq_2(k10_clvect_1(A,B))
              & k2_seq_2(k10_clvect_1(A,B)) = k5_clvect_1(A,k11_clvect_1(A,B)) ) ) ) ) )).

fof(t46_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ( v4_clopban1(B)
           => ! [C] :
                ( ( v1_funct_1(C)
                  & v1_funct_2(C,k5_numbers,u1_struct_0(k14_clopban1(A,B)))
                  & m2_relset_1(C,k5_numbers,u1_struct_0(k14_clopban1(A,B))) )
               => ( v1_csspace3(C,k14_clopban1(A,B))
                 => v6_clvect_1(C,k14_clopban1(A,B)) ) ) ) ) ) )).

fof(t47_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & v4_clopban1(B)
            & l2_clvect_1(B) )
         => ( ~ v3_struct_0(k14_clopban1(A,B))
            & v3_rlvect_1(k14_clopban1(A,B))
            & v4_rlvect_1(k14_clopban1(A,B))
            & v5_rlvect_1(k14_clopban1(A,B))
            & v6_rlvect_1(k14_clopban1(A,B))
            & v2_clvect_1(k14_clopban1(A,B))
            & v5_clvect_1(k14_clopban1(A,B))
            & v4_clopban1(k14_clopban1(A,B))
            & l2_clvect_1(k14_clopban1(A,B)) ) ) ) )).

fof(dt_k1_clopban1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(k2_numbers,B),B)
        & m1_relset_1(C,k2_zfmisc_1(k2_numbers,B),B)
        & v1_xcmplx_0(D)
        & v1_funct_1(E)
        & v1_funct_2(E,A,B)
        & m1_relset_1(E,A,B) )
     => m2_fraenkel(k1_clopban1(A,B,C,D,E),A,B,k1_fraenkel(A,B)) ) )).

fof(redefinition_k1_clopban1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(k2_numbers,B),B)
        & m1_relset_1(C,k2_zfmisc_1(k2_numbers,B),B)
        & v1_xcmplx_0(D)
        & v1_funct_1(E)
        & v1_funct_2(E,A,B)
        & m1_relset_1(E,A,B) )
     => k1_clopban1(A,B,C,D,E) = k5_funcop_1(C,D,E) ) )).

fof(dt_k2_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( v1_funct_1(k2_clopban1(A,B))
        & v1_funct_2(k2_clopban1(A,B),k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
        & m2_relset_1(k2_clopban1(A,B),k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) ) ) )).

fof(dt_k3_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k3_clopban1(A,B))
        & v3_rlvect_1(k3_clopban1(A,B))
        & v4_rlvect_1(k3_clopban1(A,B))
        & v5_rlvect_1(k3_clopban1(A,B))
        & v6_rlvect_1(k3_clopban1(A,B))
        & v2_clvect_1(k3_clopban1(A,B))
        & l1_clvect_1(k3_clopban1(A,B)) ) ) )).

fof(dt_k4_clopban1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k3_clopban1(A,B)))
        & m1_subset_1(D,A) )
     => m1_subset_1(k4_clopban1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k4_clopban1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k3_clopban1(A,B)))
        & m1_subset_1(D,A) )
     => k4_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k5_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => m1_subset_1(k5_clopban1(A,B),k1_zfmisc_1(u1_struct_0(k3_clopban1(u1_struct_0(A),B)))) ) )).

fof(dt_k6_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k6_clopban1(A,B))
        & v3_rlvect_1(k6_clopban1(A,B))
        & v4_rlvect_1(k6_clopban1(A,B))
        & v5_rlvect_1(k6_clopban1(A,B))
        & v6_rlvect_1(k6_clopban1(A,B))
        & v2_clvect_1(k6_clopban1(A,B))
        & l1_clvect_1(k6_clopban1(A,B)) ) ) )).

fof(dt_k7_clopban1,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)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k6_clopban1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k7_clopban1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k7_clopban1,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)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k6_clopban1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k7_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k8_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => m1_subset_1(k8_clopban1(A,B),k1_zfmisc_1(u1_struct_0(k6_clopban1(A,B)))) ) )).

fof(dt_k9_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( ~ v3_struct_0(k9_clopban1(A,B))
        & v3_rlvect_1(k9_clopban1(A,B))
        & v4_rlvect_1(k9_clopban1(A,B))
        & v5_rlvect_1(k9_clopban1(A,B))
        & v6_rlvect_1(k9_clopban1(A,B))
        & v2_clvect_1(k9_clopban1(A,B))
        & l1_clvect_1(k9_clopban1(A,B)) ) ) )).

fof(dt_k10_clopban1,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)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k9_clopban1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k10_clopban1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k10_clopban1,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)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k9_clopban1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k10_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(dt_k11_clopban1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( v1_funct_1(k11_clopban1(A,B,C))
        & v1_funct_2(k11_clopban1(A,B,C),u1_struct_0(A),u1_struct_0(B))
        & v1_clopban1(k11_clopban1(A,B,C),A,B)
        & v2_clopban1(k11_clopban1(A,B,C),A,B)
        & v3_clopban1(k11_clopban1(A,B,C),A,B)
        & m2_relset_1(k11_clopban1(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) )).

fof(dt_k12_clopban1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & v1_clopban1(C,A,B)
        & v2_clopban1(C,A,B)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
     => ( ~ v1_xboole_0(k12_clopban1(A,B,C))
        & m1_subset_1(k12_clopban1(A,B,C),k1_zfmisc_1(k1_numbers)) ) ) )).

fof(dt_k13_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( v1_funct_1(k13_clopban1(A,B))
        & v1_funct_2(k13_clopban1(A,B),k8_clopban1(A,B),k1_numbers)
        & m2_relset_1(k13_clopban1(A,B),k8_clopban1(A,B),k1_numbers) ) ) )).

fof(dt_k14_clopban1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( ~ v3_struct_0(k14_clopban1(A,B))
        & l2_clvect_1(k14_clopban1(A,B)) ) ) )).

fof(dt_k15_clopban1,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)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k15_clopban1(A,B,C,D),u1_struct_0(B)) ) )).

fof(redefinition_k15_clopban1,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)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(k14_clopban1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k15_clopban1(A,B,C,D) = k1_funct_1(C,D) ) )).

fof(d11_clopban1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v1_clopban1(C,A,B)
                & v2_clopban1(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => k12_clopban1(A,B,C) = a_3_0_clopban1(A,B,C) ) ) ) )).

fof(fraenkel_a_3_0_clopban1,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)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B)
        & ~ v3_struct_0(C)
        & v3_rlvect_1(C)
        & v4_rlvect_1(C)
        & v5_rlvect_1(C)
        & v6_rlvect_1(C)
        & v2_clvect_1(C)
        & v5_clvect_1(C)
        & l2_clvect_1(C)
        & v1_funct_1(D)
        & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C))
        & v1_clopban1(D,B,C)
        & v2_clopban1(D,B,C)
        & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
     => ( r2_hidden(A,a_3_0_clopban1(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(B))
            & A = k5_clvect_1(C,k8_funct_2(u1_struct_0(B),u1_struct_0(C),D,E))
            & r1_xreal_0(k5_clvect_1(B,E),np__1) ) ) ) )).
%------------------------------------------------------------------------------