SET007 Axioms: SET007+808.ax


%------------------------------------------------------------------------------
% File     : SET007+808 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Complex Linear Space and Complex Normed Space
% 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    : clvect_1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  178 (   3 unit)
%            Number of atoms       : 2063 ( 164 equality)
%            Maximal formula depth :   18 (  10 average)
%            Number of connectives : 2079 ( 194 ~  ;   6  |;1262  &)
%                                         (  37 <=>; 580 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   31 (   1 propositional; 0-3 arity)
%            Number of functors    :   62 (   8 constant; 0-5 arity)
%            Number of variables   :  588 (   0 singleton; 565 !;  23 ?)
%            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(rc1_clvect_1,axiom,(
    ? [A] :
      ( l1_clvect_1(A)
      & v1_clvect_1(A) ) )).

fof(rc2_clvect_1,axiom,(
    ? [A] :
      ( l1_clvect_1(A)
      & ~ v3_struct_0(A) ) )).

fof(fc1_clvect_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k2_numbers,A),A) )
     => ( ~ v3_struct_0(g1_clvect_1(A,B,C,D))
        & v1_clvect_1(g1_clvect_1(A,B,C,D)) ) ) )).

fof(rc3_clvect_1,axiom,(
    ? [A] :
      ( l1_clvect_1(A)
      & ~ v3_struct_0(A)
      & v3_rlvect_1(A)
      & v4_rlvect_1(A)
      & v5_rlvect_1(A)
      & v6_rlvect_1(A)
      & v1_clvect_1(A)
      & v2_clvect_1(A) ) )).

fof(rc4_clvect_1,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] :
          ( m1_clvect_1(B,A)
          & ~ v3_struct_0(B)
          & v3_rlvect_1(B)
          & v4_rlvect_1(B)
          & v5_rlvect_1(B)
          & v6_rlvect_1(B)
          & v1_clvect_1(B)
          & v2_clvect_1(B) ) ) )).

fof(rc5_clvect_1,axiom,(
    ? [A] :
      ( l2_clvect_1(A)
      & v4_clvect_1(A) ) )).

fof(rc6_clvect_1,axiom,(
    ? [A] :
      ( l2_clvect_1(A)
      & ~ v3_struct_0(A) ) )).

fof(rc7_clvect_1,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)
      & v4_clvect_1(A)
      & v5_clvect_1(A) ) )).

fof(d1_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => k1_clvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k1_domain_1(k2_numbers,u1_struct_0(A),C,B)) ) ) ) )).

fof(d2_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A) )
     => ( v2_clvect_1(A)
      <=> ( ! [B] :
              ( m1_subset_1(B,k2_numbers)
             => ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k1_clvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_clvect_1(A,C,B),k1_clvect_1(A,D,B)) ) ) )
          & ! [B] :
              ( m1_subset_1(B,k2_numbers)
             => ! [C] :
                  ( m1_subset_1(C,k2_numbers)
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k1_clvect_1(A,D,k8_complex1(B,C)) = k2_rlvect_1(A,k1_clvect_1(A,D,B),k1_clvect_1(A,D,C)) ) ) )
          & ! [B] :
              ( m1_subset_1(B,k2_numbers)
             => ! [C] :
                  ( m1_subset_1(C,k2_numbers)
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k1_clvect_1(A,D,k9_complex1(B,C)) = k1_clvect_1(A,k1_clvect_1(A,D,C),B) ) ) )
          & ! [B] :
              ( m1_subset_1(B,u1_struct_0(A))
             => k1_clvect_1(A,B,k6_complex1) = B ) ) ) ) )).

fof(t1_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A) )
     => ( ( ! [B] :
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B) ) )
          & ! [B] :
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) ) ) )
          & ! [B] :
              ( m1_subset_1(B,u1_struct_0(A))
             => k2_rlvect_1(A,B,k1_rlvect_1(A)) = B )
          & ! [B] :
              ( m1_subset_1(B,u1_struct_0(A))
             => ? [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                  & k2_rlvect_1(A,B,C) = k1_rlvect_1(A) ) )
          & ! [B] :
              ( m1_subset_1(B,k2_numbers)
             => ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k1_clvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_clvect_1(A,C,B),k1_clvect_1(A,D,B)) ) ) )
          & ! [B] :
              ( m1_subset_1(B,k2_numbers)
             => ! [C] :
                  ( m1_subset_1(C,k2_numbers)
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k1_clvect_1(A,D,k8_complex1(B,C)) = k2_rlvect_1(A,k1_clvect_1(A,D,B),k1_clvect_1(A,D,C)) ) ) )
          & ! [B] :
              ( m1_subset_1(B,k2_numbers)
             => ! [C] :
                  ( m1_subset_1(C,k2_numbers)
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k1_clvect_1(A,D,k9_complex1(B,C)) = k1_clvect_1(A,k1_clvect_1(A,D,C),B) ) ) )
          & ! [B] :
              ( m1_subset_1(B,u1_struct_0(A))
             => k1_clvect_1(A,B,k6_complex1) = 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) ) ) ) )).

fof(t2_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ( ( C = np__0
                  | B = k1_rlvect_1(A) )
               => k1_clvect_1(A,B,C) = k1_rlvect_1(A) ) ) ) ) )).

fof(t3_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ~ ( k1_clvect_1(A,B,C) = k1_rlvect_1(A)
                  & C != np__0
                  & B != k1_rlvect_1(A) ) ) ) ) )).

fof(t4_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_rlvect_1(A,B) = k1_clvect_1(A,B,k10_complex1(k6_complex1)) ) ) )).

fof(t5_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( B = k5_rlvect_1(A,B)
           => B = k1_rlvect_1(A) ) ) ) )).

fof(t6_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( k4_rlvect_1(A,B,B) = k1_rlvect_1(A)
           => B = k1_rlvect_1(A) ) ) ) )).

fof(t7_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => k1_clvect_1(A,k5_rlvect_1(A,B),C) = k1_clvect_1(A,B,k10_complex1(C)) ) ) ) )).

fof(t8_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => k1_clvect_1(A,k5_rlvect_1(A,B),C) = k5_rlvect_1(A,k1_clvect_1(A,B,C)) ) ) ) )).

fof(t9_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => k1_clvect_1(A,k5_rlvect_1(A,B),k10_complex1(C)) = k1_clvect_1(A,B,C) ) ) ) )).

fof(t10_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => k1_clvect_1(A,k6_rlvect_1(A,B,C),D) = k6_rlvect_1(A,k1_clvect_1(A,B,D),k1_clvect_1(A,C,D)) ) ) ) ) )).

fof(t11_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => k1_clvect_1(A,B,k11_complex1(C,D)) = k6_rlvect_1(A,k1_clvect_1(A,B,C),k1_clvect_1(A,B,D)) ) ) ) ) )).

fof(t12_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => ( k1_clvect_1(A,B,D) = k1_clvect_1(A,C,D)
                   => ( D = np__0
                      | B = C ) ) ) ) ) ) )).

fof(t13_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => ( k1_clvect_1(A,B,C) = k1_clvect_1(A,B,D)
                   => ( B = k1_rlvect_1(A)
                      | C = D ) ) ) ) ) ) )).

fof(t14_clvect_1,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] :
          ( m1_subset_1(B,k2_numbers)
         => ! [C] :
              ( m2_finseq_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m2_finseq_1(D,u1_struct_0(A))
                 => ( ( k3_finseq_1(C) = k3_finseq_1(D)
                      & ! [E] :
                          ( m2_subset_1(E,k1_numbers,k5_numbers)
                         => ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ( ( r2_hidden(E,k4_finseq_1(C))
                                  & F = k1_funct_1(D,E) )
                               => k1_funct_1(C,E) = k1_clvect_1(A,F,B) ) ) ) )
                   => k9_rlvect_1(A,C) = k1_clvect_1(A,k9_rlvect_1(A,D),B) ) ) ) ) ) )).

fof(t15_clvect_1,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] :
          ( m1_subset_1(B,k2_numbers)
         => k1_clvect_1(A,k9_rlvect_1(A,k6_finseq_1(u1_struct_0(A))),B) = k1_rlvect_1(A) ) ) )).

fof(t16_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,k2_numbers)
                 => k1_clvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C)),D) = k4_rlvect_1(A,k1_clvect_1(A,B,D),k1_clvect_1(A,C,D)) ) ) ) ) )).

fof(t17_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,k2_numbers)
                     => k1_clvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)),E) = k4_rlvect_1(A,k4_rlvect_1(A,k1_clvect_1(A,B,E),k1_clvect_1(A,C,E)),k1_clvect_1(A,D,E)) ) ) ) ) ) )).

fof(t18_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_rlvect_1(A,k7_rlvect_1(A,B,B)) = k1_clvect_1(A,B,k5_arytm_0(np__2,np__0)) ) ) )).

fof(t19_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,B))) = k1_clvect_1(A,B,k5_arytm_0(k1_real_1(np__2),np__0)) ) ) )).

fof(t20_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_rlvect_1(A,k8_rlvect_1(A,B,B,B)) = k1_clvect_1(A,B,k5_arytm_0(np__3,np__0)) ) ) )).

fof(d3_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_clvect_1(B,A)
          <=> ( ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ( ( r2_hidden(C,B)
                          & r2_hidden(D,B) )
                       => r2_hidden(k4_rlvect_1(A,C,D),B) ) ) )
              & ! [C] :
                  ( m1_subset_1(C,k2_numbers)
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => ( r2_hidden(D,B)
                       => r2_hidden(k1_clvect_1(A,D,C),B) ) ) ) ) ) ) ) )).

fof(t21_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_clvect_1(B,A)
           => ( B = k1_xboole_0
              | r2_hidden(k1_rlvect_1(A),B) ) ) ) ) )).

fof(t22_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_clvect_1(B,A)
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ( r2_hidden(C,B)
                 => r2_hidden(k5_rlvect_1(A,C),B) ) ) ) ) ) )).

fof(t23_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_clvect_1(B,A)
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( ( r2_hidden(C,B)
                        & r2_hidden(D,B) )
                     => r2_hidden(k6_rlvect_1(A,C,D),B) ) ) ) ) ) ) )).

fof(t24_clvect_1,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) )
     => v3_clvect_1(k1_struct_0(A,k1_rlvect_1(A)),A) ) )).

fof(t25_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( u1_struct_0(A) = B
           => v3_clvect_1(B,A) ) ) ) )).

fof(t27_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( ( v3_clvect_1(B,A)
                  & v3_clvect_1(C,A) )
               => v3_clvect_1(k5_subset_1(u1_struct_0(A),B,C),A) ) ) ) ) )).

fof(d4_clvect_1,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(B,A)
          <=> ( r1_tarski(u1_struct_0(B),u1_struct_0(A))
              & u2_struct_0(B) = u2_struct_0(A)
              & u1_rlvect_1(B) = k1_realset1(u1_rlvect_1(A),u1_struct_0(B))
              & u1_clvect_1(B) = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(B))) ) ) ) ) )).

fof(t28_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ! [D] :
                  ( ( r1_rlvect_1(B,D)
                    & m1_clvect_1(B,C) )
                 => r1_rlvect_1(C,D) ) ) ) ) )).

fof(t29_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( r1_rlvect_1(B,C)
             => r1_rlvect_1(A,C) ) ) ) )).

fof(t30_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => m1_subset_1(C,u1_struct_0(A)) ) ) ) )).

fof(t31_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => k1_rlvect_1(B) = k1_rlvect_1(A) ) ) )).

fof(t32_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_clvect_1(C,A)
             => k1_rlvect_1(B) = k1_rlvect_1(C) ) ) ) )).

fof(t33_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(D))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(D))
                         => ( ( E = B
                              & F = C )
                           => k4_rlvect_1(D,E,F) = k4_rlvect_1(A,B,C) ) ) ) ) ) ) ) )).

fof(t34_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(D))
                     => ( E = B
                       => k1_clvect_1(D,E,C) = k1_clvect_1(A,B,C) ) ) ) ) ) ) )).

fof(t35_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(C))
                 => ( D = B
                   => k5_rlvect_1(A,B) = k5_rlvect_1(C,D) ) ) ) ) ) )).

fof(t36_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(D))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(D))
                         => ( ( E = B
                              & F = C )
                           => k6_rlvect_1(D,E,F) = k6_rlvect_1(A,B,C) ) ) ) ) ) ) ) )).

fof(t37_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => r1_rlvect_1(B,k1_rlvect_1(A)) ) ) )).

fof(t38_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_clvect_1(C,A)
             => r1_rlvect_1(C,k1_rlvect_1(B)) ) ) ) )).

fof(t39_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => r1_rlvect_1(A,k1_rlvect_1(B)) ) ) )).

fof(t40_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( ( r1_rlvect_1(D,B)
                      & r1_rlvect_1(D,C) )
                   => r1_rlvect_1(D,k4_rlvect_1(A,B,C)) ) ) ) ) ) )).

fof(t41_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r1_rlvect_1(D,B)
                   => r1_rlvect_1(D,k1_clvect_1(A,B,C)) ) ) ) ) ) )).

fof(t42_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( r1_rlvect_1(C,B)
               => r1_rlvect_1(C,k5_rlvect_1(A,B)) ) ) ) ) )).

fof(t43_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( ( r1_rlvect_1(D,B)
                      & r1_rlvect_1(D,C) )
                   => r1_rlvect_1(D,k6_rlvect_1(A,B,C)) ) ) ) ) ) )).

fof(t44_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( ~ v1_xboole_0(C)
             => ! [D] :
                  ( m1_subset_1(D,C)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k2_zfmisc_1(C,C),C)
                        & m2_relset_1(E,k2_zfmisc_1(C,C),C) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,k2_zfmisc_1(k2_numbers,C),C)
                            & m2_relset_1(F,k2_zfmisc_1(k2_numbers,C),C) )
                         => ( ( B = C
                              & D = k1_rlvect_1(A)
                              & E = k1_realset1(u1_rlvect_1(A),B)
                              & F = k2_partfun1(k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A),u1_clvect_1(A),k2_zfmisc_1(k2_numbers,B)) )
                           => m1_clvect_1(g1_clvect_1(C,D,E,F),A) ) ) ) ) ) ) ) )).

fof(t45_clvect_1,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) )
     => m1_clvect_1(A,A) ) )).

fof(t46_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v1_clvect_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)
            & v1_clvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => ( ( m1_clvect_1(A,B)
              & m1_clvect_1(B,A) )
           => A = B ) ) ) )).

fof(t47_clvect_1,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] :
              ( ( ~ v3_struct_0(C)
                & v3_rlvect_1(C)
                & v4_rlvect_1(C)
                & v5_rlvect_1(C)
                & v6_rlvect_1(C)
                & v2_clvect_1(C)
                & l1_clvect_1(C) )
             => ( ( m1_clvect_1(A,B)
                  & m1_clvect_1(B,C) )
               => m1_clvect_1(A,C) ) ) ) ) )).

fof(t48_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( r1_tarski(u1_struct_0(B),u1_struct_0(C))
               => m1_clvect_1(B,C) ) ) ) ) )).

fof(t49_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r1_rlvect_1(B,D)
                     => r1_rlvect_1(C,D) ) )
               => m1_clvect_1(B,C) ) ) ) ) )).

fof(t50_clvect_1,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] :
          ( ( v1_clvect_1(B)
            & m1_clvect_1(B,A) )
         => ! [C] :
              ( ( v1_clvect_1(C)
                & m1_clvect_1(C,A) )
             => ( u1_struct_0(B) = u1_struct_0(C)
               => B = C ) ) ) ) )).

fof(t51_clvect_1,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] :
          ( ( v1_clvect_1(B)
            & m1_clvect_1(B,A) )
         => ! [C] :
              ( ( v1_clvect_1(C)
                & m1_clvect_1(C,A) )
             => ( ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r1_rlvect_1(B,D)
                    <=> r1_rlvect_1(C,D) ) )
               => B = C ) ) ) ) )).

fof(t52_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v1_clvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( v1_clvect_1(B)
            & m1_clvect_1(B,A) )
         => ( u1_struct_0(B) = u1_struct_0(A)
           => B = A ) ) ) )).

fof(t53_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v1_clvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] :
          ( ( v1_clvect_1(B)
            & m1_clvect_1(B,A) )
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ( r1_rlvect_1(B,C)
                <=> r1_rlvect_1(A,C) ) )
           => B = A ) ) ) )).

fof(t54_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( u1_struct_0(C) = B
               => v3_clvect_1(B,A) ) ) ) ) )).

fof(t55_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ~ ( B != k1_xboole_0
              & v3_clvect_1(B,A)
              & ! [C] :
                  ( ( v1_clvect_1(C)
                    & m1_clvect_1(C,A) )
                 => B != u1_struct_0(C) ) ) ) ) )).

fof(d5_clvect_1,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] :
          ( ( v1_clvect_1(B)
            & m1_clvect_1(B,A) )
         => ( B = k2_clvect_1(A)
          <=> u1_struct_0(B) = k1_struct_0(A,k1_rlvect_1(A)) ) ) ) )).

fof(d6_clvect_1,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) )
     => k3_clvect_1(A) = g1_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u1_clvect_1(A)) ) )).

fof(t56_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => k2_clvect_1(B) = k2_clvect_1(A) ) ) )).

fof(t57_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_clvect_1(C,A)
             => k2_clvect_1(B) = k2_clvect_1(C) ) ) ) )).

fof(t58_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => m1_clvect_1(k2_clvect_1(B),A) ) ) )).

fof(t59_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => m1_clvect_1(k2_clvect_1(A),B) ) ) )).

fof(t60_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_clvect_1(C,A)
             => m1_clvect_1(k2_clvect_1(B),C) ) ) ) )).

fof(t61_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v1_clvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => m1_clvect_1(A,k3_clvect_1(A)) ) )).

fof(d8_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( m2_clvect_1(C,A,B)
              <=> ? [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                    & C = k4_clvect_1(A,D,B) ) ) ) ) ) )).

fof(t62_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( r2_hidden(k1_rlvect_1(A),k4_clvect_1(A,B,C))
              <=> r1_rlvect_1(C,B) ) ) ) ) )).

fof(t63_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => r2_hidden(B,k4_clvect_1(A,B,C)) ) ) ) )).

fof(t64_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => k4_clvect_1(A,k1_rlvect_1(A),B) = u1_struct_0(B) ) ) )).

fof(t65_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k4_clvect_1(A,B,k2_clvect_1(A)) = k1_struct_0(A,B) ) ) )).

fof(t66_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k4_clvect_1(A,B,k3_clvect_1(A)) = u1_struct_0(A) ) ) )).

fof(t67_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( r2_hidden(k1_rlvect_1(A),k4_clvect_1(A,B,C))
              <=> k4_clvect_1(A,B,C) = u1_struct_0(C) ) ) ) ) )).

fof(t68_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( r1_rlvect_1(C,B)
              <=> k4_clvect_1(A,B,C) = u1_struct_0(C) ) ) ) ) )).

fof(t69_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r1_rlvect_1(D,B)
                   => k4_clvect_1(A,k1_clvect_1(A,B,C),D) = u1_struct_0(D) ) ) ) ) ) )).

fof(t70_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( k4_clvect_1(A,k1_clvect_1(A,B,C),D) = u1_struct_0(D)
                   => ( C = np__0
                      | r1_rlvect_1(D,B) ) ) ) ) ) ) )).

fof(t71_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( r1_rlvect_1(C,B)
              <=> k4_clvect_1(A,k5_rlvect_1(A,B),C) = u1_struct_0(C) ) ) ) ) )).

fof(t72_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r1_rlvect_1(D,B)
                  <=> k4_clvect_1(A,C,D) = k4_clvect_1(A,k4_rlvect_1(A,C,B),D) ) ) ) ) ) )).

fof(t73_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r1_rlvect_1(D,B)
                  <=> k4_clvect_1(A,C,D) = k4_clvect_1(A,k6_rlvect_1(A,C,B),D) ) ) ) ) ) )).

fof(t74_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r2_hidden(B,k4_clvect_1(A,C,D))
                  <=> k4_clvect_1(A,C,D) = k4_clvect_1(A,B,D) ) ) ) ) ) )).

fof(t75_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( k4_clvect_1(A,B,C) = k4_clvect_1(A,k5_rlvect_1(A,B),C)
              <=> r1_rlvect_1(C,B) ) ) ) ) )).

fof(t76_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_clvect_1(E,A)
                     => ( ( r2_hidden(B,k4_clvect_1(A,C,E))
                          & r2_hidden(B,k4_clvect_1(A,D,E)) )
                       => k4_clvect_1(A,C,E) = k4_clvect_1(A,D,E) ) ) ) ) ) ) )).

fof(t77_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( ( r2_hidden(B,k4_clvect_1(A,C,D))
                      & r2_hidden(B,k4_clvect_1(A,k5_rlvect_1(A,C),D)) )
                   => r1_rlvect_1(D,C) ) ) ) ) ) )).

fof(t78_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r2_hidden(k1_clvect_1(A,B,C),k4_clvect_1(A,B,D))
                   => ( C = k6_complex1
                      | r1_rlvect_1(D,B) ) ) ) ) ) ) )).

fof(t79_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k2_numbers)
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r1_rlvect_1(D,B)
                   => r2_hidden(k1_clvect_1(A,B,C),k4_clvect_1(A,B,D)) ) ) ) ) ) )).

fof(t80_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ( r2_hidden(k5_rlvect_1(A,B),k4_clvect_1(A,B,C))
              <=> r1_rlvect_1(C,B) ) ) ) ) )).

fof(t81_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r2_hidden(k4_rlvect_1(A,B,C),k4_clvect_1(A,C,D))
                  <=> r1_rlvect_1(D,B) ) ) ) ) ) )).

fof(t82_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r2_hidden(k6_rlvect_1(A,B,C),k4_clvect_1(A,B,D))
                  <=> r1_rlvect_1(D,C) ) ) ) ) ) )).

fof(t83_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r2_hidden(B,k4_clvect_1(A,C,D))
                  <=> ? [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                        & r1_rlvect_1(D,E)
                        & B = k4_rlvect_1(A,C,E) ) ) ) ) ) ) )).

fof(t84_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( r2_hidden(B,k4_clvect_1(A,C,D))
                  <=> ? [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                        & r1_rlvect_1(D,E)
                        & B = k6_rlvect_1(A,C,E) ) ) ) ) ) ) )).

fof(t85_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( ? [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                        & r2_hidden(B,k4_clvect_1(A,E,D))
                        & r2_hidden(C,k4_clvect_1(A,E,D)) )
                  <=> r1_rlvect_1(D,k6_rlvect_1(A,B,C)) ) ) ) ) ) )).

fof(t86_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ~ ( k4_clvect_1(A,B,D) = k4_clvect_1(A,C,D)
                      & ! [E] :
                          ( m1_subset_1(E,u1_struct_0(A))
                         => ~ ( r1_rlvect_1(D,E)
                              & k4_rlvect_1(A,B,E) = C ) ) ) ) ) ) ) )).

fof(t87_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ~ ( k4_clvect_1(A,B,D) = k4_clvect_1(A,C,D)
                      & ! [E] :
                          ( m1_subset_1(E,u1_struct_0(A))
                         => ~ ( r1_rlvect_1(D,E)
                              & k6_rlvect_1(A,B,E) = C ) ) ) ) ) ) ) )).

fof(t88_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( ( v1_clvect_1(C)
                & m1_clvect_1(C,A) )
             => ! [D] :
                  ( ( v1_clvect_1(D)
                    & m1_clvect_1(D,A) )
                 => ( k4_clvect_1(A,B,C) = k4_clvect_1(A,B,D)
                  <=> C = D ) ) ) ) ) )).

fof(t89_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( ( v1_clvect_1(D)
                    & m1_clvect_1(D,A) )
                 => ! [E] :
                      ( ( v1_clvect_1(E)
                        & m1_clvect_1(E,A) )
                     => ( k4_clvect_1(A,B,D) = k4_clvect_1(A,C,E)
                       => D = E ) ) ) ) ) ) )).

fof(t90_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m2_clvect_1(C,A,B)
             => ( v3_clvect_1(C,A)
              <=> C = u1_struct_0(B) ) ) ) ) )).

fof(t91_clvect_1,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] :
          ( ( v1_clvect_1(B)
            & m1_clvect_1(B,A) )
         => ! [C] :
              ( ( v1_clvect_1(C)
                & m1_clvect_1(C,A) )
             => ! [D] :
                  ( m2_clvect_1(D,A,B)
                 => ! [E] :
                      ( m2_clvect_1(E,A,C)
                     => ( D = E
                       => B = C ) ) ) ) ) ) )).

fof(t92_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => m2_clvect_1(k1_struct_0(A,B),A,k2_clvect_1(A)) ) ) )).

fof(t93_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ~ ( m2_clvect_1(B,A,k2_clvect_1(A))
              & ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => B != k1_struct_0(A,C) ) ) ) ) )).

fof(t94_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => m2_clvect_1(u1_struct_0(B),A,B) ) ) )).

fof(t95_clvect_1,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) )
     => m2_clvect_1(u1_struct_0(A),A,k3_clvect_1(A)) ) )).

fof(t96_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( m2_clvect_1(B,A,k3_clvect_1(A))
           => B = u1_struct_0(A) ) ) ) )).

fof(t97_clvect_1,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] :
          ( m1_clvect_1(B,A)
         => ! [C] :
              ( m2_clvect_1(C,A,B)
             => ( r2_hidden(k1_rlvect_1(A),C)
              <=> C = u1_struct_0(B) ) ) ) ) )).

fof(t98_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ! [D] :
                  ( m2_clvect_1(D,A,C)
                 => ( r2_hidden(B,D)
                  <=> D = k4_clvect_1(A,B,C) ) ) ) ) ) )).

fof(t99_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ! [E] :
                      ( m2_clvect_1(E,A,D)
                     => ~ ( r2_hidden(B,E)
                          & r2_hidden(C,E)
                          & ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ~ ( r1_rlvect_1(D,F)
                                  & k4_rlvect_1(A,B,F) = C ) ) ) ) ) ) ) ) )).

fof(t100_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ! [E] :
                      ( m2_clvect_1(E,A,D)
                     => ~ ( r2_hidden(B,E)
                          & r2_hidden(C,E)
                          & ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ~ ( r1_rlvect_1(D,F)
                                  & k6_rlvect_1(A,B,F) = C ) ) ) ) ) ) ) ) )).

fof(t101_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_clvect_1(D,A)
                 => ( ? [E] :
                        ( m2_clvect_1(E,A,D)
                        & r2_hidden(B,E)
                        & r2_hidden(C,E) )
                  <=> r1_rlvect_1(D,k6_rlvect_1(A,B,C)) ) ) ) ) ) )).

fof(t102_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => ! [D] :
                  ( m2_clvect_1(D,A,C)
                 => ! [E] :
                      ( m2_clvect_1(E,A,C)
                     => ( ( r2_hidden(B,D)
                          & r2_hidden(B,E) )
                       => D = E ) ) ) ) ) ) )).

fof(d9_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_clvect_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_clvect_1(A,B) = k2_seq_1(u1_struct_0(A),k1_numbers,u2_clvect_1(A),B) ) ) )).

fof(d10_clvect_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_clvect_1(A) )
     => ( v5_clvect_1(A)
      <=> ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] :
                    ( m1_subset_1(D,k2_numbers)
                   => ( ( k5_clvect_1(A,B) = np__0
                       => B = k1_rlvect_1(A) )
                      & ( B = k1_rlvect_1(A)
                       => k5_clvect_1(A,B) = np__0 )
                      & k5_clvect_1(A,k1_clvect_1(A,B,D)) = k4_real_1(k17_complex1(D),k5_clvect_1(A,B))
                      & r1_xreal_0(k5_clvect_1(A,k2_rlvect_1(A,B,C)),k3_real_1(k5_clvect_1(A,B),k5_clvect_1(A,C))) ) ) ) ) ) ) )).

fof(t103_clvect_1,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) )
     => k5_clvect_1(A,k1_rlvect_1(A)) = np__0 ) )).

fof(t104_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_clvect_1(A,k5_rlvect_1(A,B)) = k5_clvect_1(A,B) ) ) )).

fof(t105_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => r1_xreal_0(k5_clvect_1(A,k6_rlvect_1(A,B,C)),k3_real_1(k5_clvect_1(A,B),k5_clvect_1(A,C))) ) ) ) )).

fof(t106_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => r1_xreal_0(np__0,k5_clvect_1(A,B)) ) ) )).

fof(t107_clvect_1,axiom,(
    ! [A] :
      ( m1_subset_1(A,k2_numbers)
     => ! [B] :
          ( m1_subset_1(B,k2_numbers)
         => ! [C] :
              ( ( ~ 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) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(C))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(C))
                     => r1_xreal_0(k5_clvect_1(C,k4_rlvect_1(C,k1_clvect_1(C,D,A),k1_clvect_1(C,E,B))),k3_real_1(k4_real_1(k17_complex1(A),k5_clvect_1(C,D)),k4_real_1(k17_complex1(B),k5_clvect_1(C,E)))) ) ) ) ) ) )).

fof(t108_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( k5_clvect_1(A,k6_rlvect_1(A,B,C)) = np__0
              <=> B = C ) ) ) ) )).

fof(t109_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_clvect_1(A,k6_rlvect_1(A,B,C)) = k5_clvect_1(A,k6_rlvect_1(A,C,B)) ) ) ) )).

fof(t110_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => r1_xreal_0(k5_real_1(k5_clvect_1(A,B),k5_clvect_1(A,C)),k5_clvect_1(A,k6_rlvect_1(A,B,C))) ) ) ) )).

fof(t111_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => r1_xreal_0(k18_complex1(k5_real_1(k5_clvect_1(A,B),k5_clvect_1(A,C))),k5_clvect_1(A,k6_rlvect_1(A,B,C))) ) ) ) )).

fof(t112_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => r1_xreal_0(k5_clvect_1(A,k6_rlvect_1(A,B,C)),k3_real_1(k5_clvect_1(A,k6_rlvect_1(A,B,D)),k5_clvect_1(A,k6_rlvect_1(A,D,C)))) ) ) ) ) )).

fof(t113_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ~ ( B != C
                  & k5_clvect_1(A,k6_rlvect_1(A,B,C)) = np__0 ) ) ) ) )).

fof(d11_clvect_1,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] :
          ( ( 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)) )
             => ! [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)) )
                 => ( D = k6_clvect_1(A,B,C)
                  <=> ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => k2_normsp_1(A,D,E) = k4_rlvect_1(A,k2_normsp_1(A,B,E),k2_normsp_1(A,C,E)) ) ) ) ) ) ) )).

fof(d12_clvect_1,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] :
          ( ( 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)) )
             => ! [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)) )
                 => ( D = k7_clvect_1(A,B,C)
                  <=> ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => k2_normsp_1(A,D,E) = k6_rlvect_1(A,k2_normsp_1(A,B,E),k2_normsp_1(A,C,E)) ) ) ) ) ) ) )).

fof(d13_clvect_1,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] :
          ( ( 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))
             => ! [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)) )
                 => ( D = k8_clvect_1(A,B,C)
                  <=> ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => k2_normsp_1(A,D,E) = k6_rlvect_1(A,k2_normsp_1(A,B,E),C) ) ) ) ) ) ) )).

fof(d14_clvect_1,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] :
          ( ( 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,k2_numbers)
             => ! [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)) )
                 => ( D = k9_clvect_1(A,B,C)
                  <=> ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => k2_normsp_1(A,D,E) = k1_clvect_1(A,k2_normsp_1(A,B,E),C) ) ) ) ) ) ) )).

fof(d15_clvect_1,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)
          <=> ? [C] :
                ( m1_subset_1(C,u1_struct_0(A))
                & ! [D] :
                    ( m1_subset_1(D,k1_numbers)
                   => ~ ( ~ r1_xreal_0(D,np__0)
                        & ! [E] :
                            ( m2_subset_1(E,k1_numbers,k5_numbers)
                           => ? [F] :
                                ( m2_subset_1(F,k1_numbers,k5_numbers)
                                & r1_xreal_0(E,F)
                                & r1_xreal_0(D,k5_clvect_1(A,k6_rlvect_1(A,k2_normsp_1(A,B,F),C))) ) ) ) ) ) ) ) ) )).

fof(t114_clvect_1,axiom,(
    $true )).

fof(t115_clvect_1,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] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( ( v6_clvect_1(B,A)
                  & v6_clvect_1(C,A) )
               => v6_clvect_1(k6_clvect_1(A,B,C),A) ) ) ) ) )).

fof(t116_clvect_1,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] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( ( v6_clvect_1(B,A)
                  & v6_clvect_1(C,A) )
               => v6_clvect_1(k7_clvect_1(A,B,C),A) ) ) ) ) )).

fof(t117_clvect_1,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] :
          ( m1_subset_1(B,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)) )
             => ( v6_clvect_1(C,A)
               => v6_clvect_1(k8_clvect_1(A,C,B),A) ) ) ) ) )).

fof(t118_clvect_1,axiom,(
    ! [A] :
      ( m1_subset_1(A,k2_numbers)
     => ! [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,k5_numbers,u1_struct_0(B))
                & m2_relset_1(C,k5_numbers,u1_struct_0(B)) )
             => ( v6_clvect_1(C,B)
               => v6_clvect_1(k9_clvect_1(B,C,A),B) ) ) ) ) )).

fof(d16_clvect_1,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] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,k1_numbers)
                & m2_relset_1(C,k5_numbers,k1_numbers) )
             => ( C = k10_clvect_1(A,B)
              <=> ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => k2_seq_1(k5_numbers,k1_numbers,C,D) = k5_clvect_1(A,k2_normsp_1(A,B,D)) ) ) ) ) ) )).

fof(t119_clvect_1,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)) ) ) ) )).

fof(d17_clvect_1,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)
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => ( C = k11_clvect_1(A,B)
                <=> ! [D] :
                      ( m1_subset_1(D,k1_numbers)
                     => ~ ( ~ r1_xreal_0(D,np__0)
                          & ! [E] :
                              ( m2_subset_1(E,k1_numbers,k5_numbers)
                             => ? [F] :
                                  ( m2_subset_1(F,k1_numbers,k5_numbers)
                                  & r1_xreal_0(E,F)
                                  & r1_xreal_0(D,k5_clvect_1(A,k6_rlvect_1(A,k2_normsp_1(A,B,F),C))) ) ) ) ) ) ) ) ) ) )).

fof(t120_clvect_1,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] :
          ( m1_subset_1(B,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)) )
             => ( ( v6_clvect_1(C,A)
                  & k11_clvect_1(A,C) = B )
               => ( v4_seq_2(k10_clvect_1(A,k8_clvect_1(A,C,B)))
                  & k2_seq_2(k10_clvect_1(A,k8_clvect_1(A,C,B))) = np__0 ) ) ) ) ) )).

fof(t121_clvect_1,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] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( ( v6_clvect_1(B,A)
                  & v6_clvect_1(C,A) )
               => k11_clvect_1(A,k6_clvect_1(A,B,C)) = k4_rlvect_1(A,k11_clvect_1(A,B),k11_clvect_1(A,C)) ) ) ) ) )).

fof(t122_clvect_1,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] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                & m2_relset_1(C,k5_numbers,u1_struct_0(A)) )
             => ( ( v6_clvect_1(B,A)
                  & v6_clvect_1(C,A) )
               => k11_clvect_1(A,k7_clvect_1(A,B,C)) = k6_rlvect_1(A,k11_clvect_1(A,B),k11_clvect_1(A,C)) ) ) ) ) )).

fof(t123_clvect_1,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] :
          ( m1_subset_1(B,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)) )
             => ( v6_clvect_1(C,A)
               => k11_clvect_1(A,k8_clvect_1(A,C,B)) = k6_rlvect_1(A,k11_clvect_1(A,C),B) ) ) ) ) )).

fof(t124_clvect_1,axiom,(
    ! [A] :
      ( m1_subset_1(A,k2_numbers)
     => ! [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,k5_numbers,u1_struct_0(B))
                & m2_relset_1(C,k5_numbers,u1_struct_0(B)) )
             => ( v6_clvect_1(C,B)
               => k11_clvect_1(B,k9_clvect_1(B,C,A)) = k1_clvect_1(B,k11_clvect_1(B,C),A) ) ) ) ) )).

fof(dt_m1_clvect_1,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] :
          ( m1_clvect_1(B,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) ) ) ) )).

fof(existence_m1_clvect_1,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] : m1_clvect_1(B,A) ) )).

fof(dt_m2_clvect_1,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)
        & m1_clvect_1(B,A) )
     => ! [C] :
          ( m2_clvect_1(C,A,B)
         => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) )).

fof(existence_m2_clvect_1,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)
        & m1_clvect_1(B,A) )
     => ? [C] : m2_clvect_1(C,A,B) ) )).

fof(dt_l1_clvect_1,axiom,(
    ! [A] :
      ( l1_clvect_1(A)
     => l1_rlvect_1(A) ) )).

fof(existence_l1_clvect_1,axiom,(
    ? [A] : l1_clvect_1(A) )).

fof(dt_l2_clvect_1,axiom,(
    ! [A] :
      ( l2_clvect_1(A)
     => l1_clvect_1(A) ) )).

fof(existence_l2_clvect_1,axiom,(
    ? [A] : l2_clvect_1(A) )).

fof(abstractness_v1_clvect_1,axiom,(
    ! [A] :
      ( l1_clvect_1(A)
     => ( v1_clvect_1(A)
       => A = g1_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u1_clvect_1(A)) ) ) )).

fof(abstractness_v4_clvect_1,axiom,(
    ! [A] :
      ( l2_clvect_1(A)
     => ( v4_clvect_1(A)
       => A = g2_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u1_clvect_1(A),u2_clvect_1(A)) ) ) )).

fof(dt_k1_clvect_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,k2_numbers) )
     => m1_subset_1(k1_clvect_1(A,B,C),u1_struct_0(A)) ) )).

fof(dt_k2_clvect_1,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) )
     => ( v1_clvect_1(k2_clvect_1(A))
        & m1_clvect_1(k2_clvect_1(A),A) ) ) )).

fof(dt_k3_clvect_1,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) )
     => ( v1_clvect_1(k3_clvect_1(A))
        & m1_clvect_1(k3_clvect_1(A),A) ) ) )).

fof(dt_k4_clvect_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)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_clvect_1(C,A) )
     => m1_subset_1(k4_clvect_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) )).

fof(dt_k5_clvect_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_clvect_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k5_clvect_1(A,B),k1_numbers) ) )).

fof(dt_k6_clvect_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)
        & v2_clvect_1(A)
        & l1_clvect_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(C)
        & v1_funct_2(C,k5_numbers,u1_struct_0(A))
        & m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k6_clvect_1(A,B,C))
        & v1_funct_2(k6_clvect_1(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k6_clvect_1(A,B,C),k5_numbers,u1_struct_0(A)) ) ) )).

fof(dt_k7_clvect_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)
        & v2_clvect_1(A)
        & l1_clvect_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(C)
        & v1_funct_2(C,k5_numbers,u1_struct_0(A))
        & m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k7_clvect_1(A,B,C))
        & v1_funct_2(k7_clvect_1(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k7_clvect_1(A,B,C),k5_numbers,u1_struct_0(A)) ) ) )).

fof(dt_k8_clvect_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)
        & v2_clvect_1(A)
        & l1_clvect_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))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( v1_funct_1(k8_clvect_1(A,B,C))
        & v1_funct_2(k8_clvect_1(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k8_clvect_1(A,B,C),k5_numbers,u1_struct_0(A)) ) ) )).

fof(dt_k9_clvect_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)
        & v2_clvect_1(A)
        & l1_clvect_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))
        & m1_subset_1(C,k2_numbers) )
     => ( v1_funct_1(k9_clvect_1(A,B,C))
        & v1_funct_2(k9_clvect_1(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k9_clvect_1(A,B,C),k5_numbers,u1_struct_0(A)) ) ) )).

fof(dt_k10_clvect_1,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)
        & 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(k10_clvect_1(A,B))
        & v1_funct_2(k10_clvect_1(A,B),k5_numbers,k1_numbers)
        & m2_relset_1(k10_clvect_1(A,B),k5_numbers,k1_numbers) ) ) )).

fof(dt_k11_clvect_1,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)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & m1_relset_1(B,k5_numbers,u1_struct_0(A)) )
     => m1_subset_1(k11_clvect_1(A,B),u1_struct_0(A)) ) )).

fof(dt_u1_clvect_1,axiom,(
    ! [A] :
      ( l1_clvect_1(A)
     => ( v1_funct_1(u1_clvect_1(A))
        & v1_funct_2(u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A)) ) ) )).

fof(dt_u2_clvect_1,axiom,(
    ! [A] :
      ( l2_clvect_1(A)
     => ( v1_funct_1(u2_clvect_1(A))
        & v1_funct_2(u2_clvect_1(A),u1_struct_0(A),k1_numbers)
        & m2_relset_1(u2_clvect_1(A),u1_struct_0(A),k1_numbers) ) ) )).

fof(dt_g1_clvect_1,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k2_numbers,A),A) )
     => ( v1_clvect_1(g1_clvect_1(A,B,C,D))
        & l1_clvect_1(g1_clvect_1(A,B,C,D)) ) ) )).

fof(free_g1_clvect_1,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k2_numbers,A),A) )
     => ! [E,F,G,H] :
          ( g1_clvect_1(A,B,C,D) = g1_clvect_1(E,F,G,H)
         => ( A = E
            & B = F
            & C = G
            & D = H ) ) ) )).

fof(dt_g2_clvect_1,axiom,(
    ! [A,B,C,D,E] :
      ( ( m1_subset_1(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k2_numbers,A),A)
        & v1_funct_1(E)
        & v1_funct_2(E,A,k1_numbers)
        & m1_relset_1(E,A,k1_numbers) )
     => ( v4_clvect_1(g2_clvect_1(A,B,C,D,E))
        & l2_clvect_1(g2_clvect_1(A,B,C,D,E)) ) ) )).

fof(free_g2_clvect_1,axiom,(
    ! [A,B,C,D,E] :
      ( ( m1_subset_1(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k2_numbers,A),A)
        & v1_funct_1(E)
        & v1_funct_2(E,A,k1_numbers)
        & m1_relset_1(E,A,k1_numbers) )
     => ! [F,G,H,I,J] :
          ( g2_clvect_1(A,B,C,D,E) = g2_clvect_1(F,G,H,I,J)
         => ( A = F
            & B = G
            & C = H
            & D = I
            & E = J ) ) ) )).

fof(t26_clvect_1,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ( ( v3_clvect_1(B,A)
                      & v3_clvect_1(C,A)
                      & D = a_3_0_clvect_1(A,B,C) )
                   => v3_clvect_1(D,A) ) ) ) ) ) )).

fof(d7_clvect_1,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] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_clvect_1(C,A)
             => k4_clvect_1(A,B,C) = a_3_1_clvect_1(A,B,C) ) ) ) )).

fof(fraenkel_a_3_0_clvect_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)
        & v2_clvect_1(B)
        & l1_clvect_1(B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_3_0_clvect_1(B,C,D))
      <=> ? [E,F] :
            ( m1_subset_1(E,u1_struct_0(B))
            & m1_subset_1(F,u1_struct_0(B))
            & A = k4_rlvect_1(B,E,F)
            & r2_hidden(E,C)
            & r2_hidden(F,D) ) ) ) )).

fof(fraenkel_a_3_1_clvect_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)
        & v2_clvect_1(B)
        & l1_clvect_1(B)
        & m1_subset_1(C,u1_struct_0(B))
        & m1_clvect_1(D,B) )
     => ( r2_hidden(A,a_3_1_clvect_1(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(B))
            & A = k4_rlvect_1(B,C,E)
            & r1_rlvect_1(D,E) ) ) ) )).
%------------------------------------------------------------------------------