SET007 Axioms: SET007+336.ax


%------------------------------------------------------------------------------
% File     : SET007+336 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Continuity of Mappings over the Union of Subspaces
% 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    : tmap_1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  180 (   2 unit)
%            Number of atoms       : 2758 ( 176 equality)
%            Maximal formula depth :   29 (  13 average)
%            Number of connectives : 3167 ( 589 ~  ;  24  |;1551  &)
%                                         (  46 <=>; 957 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   29 (   1 propositional; 0-4 arity)
%            Number of functors    :   35 (   0 constant; 1-6 arity)
%            Number of variables   :  836 (   0 singleton; 826 !;  10 ?)
%            Maximal term depth    :    4 (   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_tmap_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & m1_pre_topc(B,A)
        & ~ v3_struct_0(C)
        & m1_pre_topc(C,A) )
     => ( ~ v3_struct_0(k1_tsep_1(A,B,C))
        & v1_pre_topc(k1_tsep_1(A,B,C))
        & v2_pre_topc(k1_tsep_1(A,B,C)) ) ) )).

fof(fc2_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( ~ v3_struct_0(k6_tmap_1(A,B))
        & v1_pre_topc(k6_tmap_1(A,B))
        & v2_pre_topc(k6_tmap_1(A,B)) ) ) )).

fof(fc3_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_pre_topc(B,A) )
     => ( ~ v3_struct_0(k8_tmap_1(A,B))
        & v1_pre_topc(k8_tmap_1(A,B))
        & v2_pre_topc(k8_tmap_1(A,B)) ) ) )).

fof(t1_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,A,B)
                & m2_relset_1(C,A,B) )
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(A))
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(B))
                     => ( r1_tarski(k2_funct_2(A,B,C,D),E)
                      <=> r1_tarski(D,k3_funct_2(A,B,C,E)) ) ) ) ) ) ) )).

fof(t2_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,A,B)
                & m2_relset_1(C,A,B) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,D,B)
                        & m2_relset_1(E,D,B) )
                     => ( ! [F] :
                            ( m1_subset_1(F,A)
                           => ( r2_hidden(F,D)
                             => k8_funct_2(A,B,C,F) = k1_funct_1(E,F) ) )
                       => k2_partfun1(A,B,C,D) = E ) ) ) ) ) ) )).

fof(t3_tmap_1,axiom,(
    $true )).

fof(t4_tmap_1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] :
          ( r1_tarski(C,B)
         => k9_relat_1(A,C) = k9_relat_1(k7_relat_1(A,B),C) ) ) )).

fof(t5_tmap_1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] :
          ( r1_tarski(k10_relat_1(A,C),B)
         => k10_relat_1(A,C) = k10_relat_1(k7_relat_1(A,B),C) ) ) )).

fof(d1_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,C,B)
                        & m2_relset_1(E,C,B) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,D,B)
                            & m2_relset_1(F,D,B) )
                         => ( k2_partfun1(C,B,E,k5_subset_1(A,C,D)) = k2_partfun1(D,B,F,k5_subset_1(A,C,D))
                           => ! [G] :
                                ( ( v1_funct_1(G)
                                  & v1_funct_2(G,k4_subset_1(A,C,D),B)
                                  & m2_relset_1(G,k4_subset_1(A,C,D),B) )
                               => ( G = k1_tmap_1(A,B,C,D,E,F)
                                <=> ( k2_partfun1(k4_subset_1(A,C,D),B,G,C) = E
                                    & k2_partfun1(k4_subset_1(A,C,D),B,G,D) = F ) ) ) ) ) ) ) ) ) ) )).

fof(t6_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(A)) )
                 => ( r1_subset_1(C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,C,B)
                          & m2_relset_1(E,C,B) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,D,B)
                              & m2_relset_1(F,D,B) )
                           => ( k2_partfun1(C,B,E,k5_subset_1(A,C,D)) = k2_partfun1(D,B,F,k5_subset_1(A,C,D))
                              & k2_partfun1(k4_subset_1(A,C,D),B,k1_tmap_1(A,B,C,D,E,F),C) = E
                              & k2_partfun1(k4_subset_1(A,C,D),B,k1_tmap_1(A,B,C,D,E,F),D) = F ) ) ) ) ) ) ) ) )).

fof(t7_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k4_subset_1(A,C,D),B)
                        & m2_relset_1(E,k4_subset_1(A,C,D),B) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,C,B)
                            & m2_relset_1(F,C,B) )
                         => ! [G] :
                              ( ( v1_funct_1(G)
                                & v1_funct_2(G,D,B)
                                & m2_relset_1(G,D,B) )
                             => ( ( k2_partfun1(k4_subset_1(A,C,D),B,E,C) = F
                                  & k2_partfun1(k4_subset_1(A,C,D),B,E,D) = G )
                               => E = k1_tmap_1(A,B,C,D,F,G) ) ) ) ) ) ) ) ) )).

fof(t8_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,C,B)
                        & m2_relset_1(E,C,B) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,D,B)
                            & m2_relset_1(F,D,B) )
                         => ( k2_partfun1(C,B,E,k5_subset_1(A,C,D)) = k2_partfun1(D,B,F,k5_subset_1(A,C,D))
                           => k1_tmap_1(A,B,C,D,E,F) = k1_tmap_1(A,B,D,C,F,E) ) ) ) ) ) ) ) )).

fof(t9_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(A)) )
                 => ! [E] :
                      ( ( ~ v1_xboole_0(E)
                        & m1_subset_1(E,k1_zfmisc_1(A)) )
                     => ! [F] :
                          ( ( ~ v1_xboole_0(F)
                            & m1_subset_1(F,k1_zfmisc_1(A)) )
                         => ! [G] :
                              ( ( ~ v1_xboole_0(G)
                                & m1_subset_1(G,k1_zfmisc_1(A)) )
                             => ( ( F = k4_subset_1(A,C,D)
                                  & G = k4_subset_1(A,D,E) )
                               => ! [H] :
                                    ( ( v1_funct_1(H)
                                      & v1_funct_2(H,C,B)
                                      & m2_relset_1(H,C,B) )
                                   => ! [I] :
                                        ( ( v1_funct_1(I)
                                          & v1_funct_2(I,D,B)
                                          & m2_relset_1(I,D,B) )
                                       => ! [J] :
                                            ( ( v1_funct_1(J)
                                              & v1_funct_2(J,E,B)
                                              & m2_relset_1(J,E,B) )
                                           => ( ( k2_partfun1(C,B,H,k5_subset_1(A,C,D)) = k2_partfun1(D,B,I,k5_subset_1(A,C,D))
                                                & k2_partfun1(D,B,I,k5_subset_1(A,D,E)) = k2_partfun1(E,B,J,k5_subset_1(A,D,E))
                                                & k2_partfun1(C,B,H,k5_subset_1(A,C,E)) = k2_partfun1(E,B,J,k5_subset_1(A,C,E)) )
                                             => ! [K] :
                                                  ( ( v1_funct_1(K)
                                                    & v1_funct_2(K,F,B)
                                                    & m2_relset_1(K,F,B) )
                                                 => ! [L] :
                                                      ( ( v1_funct_1(L)
                                                        & v1_funct_2(L,G,B)
                                                        & m2_relset_1(L,G,B) )
                                                     => ( ( K = k1_tmap_1(A,B,C,D,H,I)
                                                          & L = k1_tmap_1(A,B,D,E,I,J) )
                                                       => k1_tmap_1(A,B,F,E,K,J) = k1_tmap_1(A,B,C,G,H,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t10_tmap_1,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,C,B)
                        & m2_relset_1(E,C,B) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,D,B)
                            & m2_relset_1(F,D,B) )
                         => ( k2_partfun1(C,B,E,k5_subset_1(A,C,D)) = k2_partfun1(D,B,F,k5_subset_1(A,C,D))
                           => ( ( m1_subset_1(C,k1_zfmisc_1(D))
                               => k1_tmap_1(A,B,C,D,E,F) = F )
                              & ( k1_tmap_1(A,B,C,D,E,F) = F
                               => m1_subset_1(C,k1_zfmisc_1(D)) )
                              & ( m1_subset_1(D,k1_zfmisc_1(C))
                               => k1_tmap_1(A,B,C,D,E,F) = E )
                              & ( k1_tmap_1(A,B,C,D,E,F) = E
                               => m1_subset_1(D,k1_zfmisc_1(C)) ) ) ) ) ) ) ) ) ) )).

fof(t11_tmap_1,axiom,(
    ! [A] :
      ( l1_pre_topc(A)
     => ! [B] :
          ( m1_pre_topc(B,A)
         => ( v1_pre_topc(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))
            & m1_pre_topc(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)),A) ) ) ) )).

fof(t12_tmap_1,axiom,(
    ! [A] :
      ( l1_pre_topc(A)
     => ! [B] :
          ( ( v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( B = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))
               => ( m1_pre_topc(B,A)
                <=> m1_pre_topc(C,A) ) ) ) ) ) )).

fof(t13_tmap_1,axiom,(
    ! [A] :
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( C = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))
               => ( ( v1_borsuk_1(B,A)
                    & m1_pre_topc(B,A) )
                <=> ( v1_borsuk_1(C,A)
                    & m1_pre_topc(C,A) ) ) ) ) ) ) )).

fof(t14_tmap_1,axiom,(
    ! [A] :
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( C = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))
               => ( ( v1_tsep_1(B,A)
                    & m1_pre_topc(B,A) )
                <=> ( v1_tsep_1(C,A)
                    & m1_pre_topc(C,A) ) ) ) ) ) ) )).

fof(t15_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( m1_pre_topc(B,C)
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(B))
                   => ? [E] :
                        ( m1_subset_1(E,u1_struct_0(C))
                        & E = D ) ) ) ) ) ) )).

fof(t16_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C)))
                 => ~ ( ! [E] :
                          ( m1_subset_1(E,u1_struct_0(B))
                         => E != D )
                      & ! [E] :
                          ( m1_subset_1(E,u1_struct_0(C))
                         => E != D ) ) ) ) ) ) )).

fof(t17_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( ~ r1_tsep_1(A,B,C)
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(k2_tsep_1(A,B,C)))
                   => ( ? [E] :
                          ( m1_subset_1(E,u1_struct_0(B))
                          & E = D )
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(C))
                          & E = D ) ) ) ) ) ) ) )).

fof(t18_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
                     => ! [F] :
                          ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C)))
                         => ~ ( v4_pre_topc(E,B)
                              & r2_hidden(D,E)
                              & v4_pre_topc(F,C)
                              & r2_hidden(D,F)
                              & ! [G] :
                                  ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C))))
                                 => ~ ( v4_pre_topc(G,k1_tsep_1(A,B,C))
                                      & r2_hidden(D,G)
                                      & r1_tarski(G,k2_xboole_0(E,F)) ) ) ) ) ) ) ) ) ) )).

fof(t19_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
                     => ! [F] :
                          ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C)))
                         => ~ ( v3_pre_topc(E,B)
                              & r2_hidden(D,E)
                              & v3_pre_topc(F,C)
                              & r2_hidden(D,F)
                              & ! [G] :
                                  ( m1_subset_1(G,k1_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C))))
                                 => ~ ( v3_pre_topc(G,k1_tsep_1(A,B,C))
                                      & r2_hidden(D,G)
                                      & r1_tarski(G,k2_xboole_0(E,F)) ) ) ) ) ) ) ) ) ) )).

fof(t20_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ( ( E = D
                              & F = D )
                           => ! [G] :
                                ( m1_connsp_2(G,B,E)
                               => ! [H] :
                                    ( m1_connsp_2(H,C,F)
                                   => ? [I] :
                                        ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k1_tsep_1(A,B,C))))
                                        & v3_pre_topc(I,k1_tsep_1(A,B,C))
                                        & r2_hidden(D,I)
                                        & r1_tarski(I,k2_xboole_0(G,H)) ) ) ) ) ) ) ) ) ) ) )).

fof(t21_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k1_tsep_1(A,B,C)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ( ( E = D
                              & F = D )
                           => ! [G] :
                                ( m1_connsp_2(G,B,E)
                               => ! [H] :
                                    ( m1_connsp_2(H,C,F)
                                   => ? [I] :
                                        ( m1_connsp_2(I,k1_tsep_1(A,B,C),D)
                                        & r1_tarski(I,k2_xboole_0(G,H)) ) ) ) ) ) ) ) ) ) ) )).

fof(t22_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( m1_pre_topc(B,C)
               => ( ~ r1_tsep_1(A,B,C)
                  & ~ r1_tsep_1(A,C,B) ) ) ) ) ) )).

fof(t23_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( m1_pre_topc(B,C)
                   => ( ( r1_tsep_1(A,B,D)
                        & r1_tsep_1(A,D,B) )
                      | ( ~ r1_tsep_1(A,C,D)
                        & ~ r1_tsep_1(A,D,C) ) ) ) ) ) ) ) )).

fof(t24_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( m1_pre_topc(B,C)
                   => ( ( ~ r1_tsep_1(A,C,D)
                        & ~ r1_tsep_1(A,D,C) )
                      | ( r1_tsep_1(A,B,D)
                        & r1_tsep_1(A,D,B) ) ) ) ) ) ) ) )).

fof(t25_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => k1_tsep_1(A,B,B) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) ) ) )).

fof(t26_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => k2_tsep_1(A,B,B) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) ) ) )).

fof(t27_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( ( m1_pre_topc(B,C)
                          & m1_pre_topc(D,E) )
                       => m1_pre_topc(k1_tsep_1(A,B,D),k1_tsep_1(A,C,E)) ) ) ) ) ) ) )).

fof(t28_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( ( m1_pre_topc(B,D)
                          & m1_pre_topc(C,E) )
                       => ( r1_tsep_1(A,B,C)
                          | m1_pre_topc(k2_tsep_1(A,B,C),k2_tsep_1(A,D,E)) ) ) ) ) ) ) ) )).

fof(t29_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ( m1_pre_topc(B,C)
                      & m1_pre_topc(D,C) )
                   => m1_pre_topc(k1_tsep_1(A,B,D),C) ) ) ) ) ) )).

fof(t30_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ( m1_pre_topc(B,D)
                      & m1_pre_topc(C,D) )
                   => ( r1_tsep_1(A,B,C)
                      | m1_pre_topc(k2_tsep_1(A,B,C),D) ) ) ) ) ) ) )).

fof(t31_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ ( ( r1_tsep_1(A,B,C)
                          | r1_tsep_1(A,C,B) )
                        & ~ ( r1_tsep_1(A,D,C)
                            & r1_tsep_1(A,C,D) )
                        & ~ ( k2_tsep_1(A,k1_tsep_1(A,B,D),C) = k2_tsep_1(A,D,C)
                            & k2_tsep_1(A,C,k1_tsep_1(A,B,D)) = k2_tsep_1(A,C,D) ) )
                    & ~ ( ~ ( r1_tsep_1(A,B,C)
                            & r1_tsep_1(A,C,B) )
                        & ( r1_tsep_1(A,D,C)
                          | r1_tsep_1(A,C,D) )
                        & ~ ( k2_tsep_1(A,k1_tsep_1(A,B,D),C) = k2_tsep_1(A,B,C)
                            & k2_tsep_1(A,C,k1_tsep_1(A,B,D)) = k2_tsep_1(A,C,B) ) ) ) ) ) ) ) )).

fof(t32_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,B,C)
                   => ( ( m1_pre_topc(B,D)
                       => m1_pre_topc(k2_tsep_1(A,B,C),k2_tsep_1(A,D,C)) )
                      & ( m1_pre_topc(C,D)
                       => m1_pre_topc(k2_tsep_1(A,B,C),k2_tsep_1(A,B,D)) ) ) ) ) ) ) ) )).

fof(t33_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( m1_pre_topc(B,C)
                   => ( ( ~ r1_tsep_1(A,C,D)
                        & ~ r1_tsep_1(A,D,C) )
                      | ( k2_tsep_1(A,C,k1_tsep_1(A,B,D)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))
                        & k2_tsep_1(A,C,k1_tsep_1(A,D,B)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) ) ) ) ) ) ) ) )).

fof(t34_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,B,C)
                   => ( ( m1_pre_topc(B,D)
                       => ( ~ r1_tsep_1(A,k2_tsep_1(A,D,C),B)
                          & ~ r1_tsep_1(A,k2_tsep_1(A,C,D),B) ) )
                      & ( m1_pre_topc(C,D)
                       => ( ~ r1_tsep_1(A,k2_tsep_1(A,B,D),C)
                          & ~ r1_tsep_1(A,k2_tsep_1(A,D,B),C) ) ) ) ) ) ) ) ) )).

fof(t35_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( ( m1_pre_topc(B,C)
                          & m1_pre_topc(D,E) )
                       => ( ( ~ r1_tsep_1(A,C,E)
                            & ~ r1_tsep_1(A,k2_tsep_1(A,C,E),k1_tsep_1(A,B,D)) )
                          | ( r1_tsep_1(A,C,D)
                            & r1_tsep_1(A,E,B) ) ) ) ) ) ) ) ) )).

fof(t36_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( ( m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E))
                          & m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B)
                          & m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C) )
                       => ( m1_pre_topc(B,C)
                          | m1_pre_topc(C,B)
                          | ( ~ r1_tsep_1(A,D,k1_tsep_1(A,B,C))
                            & ~ r1_tsep_1(A,E,k1_tsep_1(A,B,C)) ) ) ) ) ) ) ) ) )).

fof(t37_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ! [F] :
                          ( ( ~ v3_struct_0(F)
                            & m1_pre_topc(F,A) )
                         => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,k1_tsep_1(A,D,E),F)
                              & m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B)
                              & m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C)
                              & m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C)) )
                           => ( r1_tsep_1(A,B,C)
                              | m1_pre_topc(B,C)
                              | m1_pre_topc(C,B)
                              | ( ~ r1_tsep_1(A,D,k1_tsep_1(A,B,C))
                                & ~ r1_tsep_1(A,E,k1_tsep_1(A,B,C)) ) ) ) ) ) ) ) ) ) )).

fof(t38_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ! [F] :
                          ( ( ~ v3_struct_0(F)
                            & m1_pre_topc(F,A) )
                         => ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,k1_tsep_1(A,D,E),F)
                              & m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B)
                              & m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C)
                              & m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C)) )
                           => ( r1_tsep_1(A,B,C)
                              | m1_pre_topc(B,C)
                              | m1_pre_topc(C,B)
                              | m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E))
                              | ( ~ r1_tsep_1(A,k1_tsep_1(A,D,E),k1_tsep_1(A,B,C))
                                & ~ r1_tsep_1(A,F,k1_tsep_1(A,B,C)) ) ) ) ) ) ) ) ) ) )).

fof(t39_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ ( ~ r1_tsep_1(A,k1_tsep_1(A,B,C),D)
                        & r1_tsep_1(A,B,D)
                        & r1_tsep_1(A,C,D) )
                    & ~ ( ~ ( r1_tsep_1(A,B,D)
                            & r1_tsep_1(A,C,D) )
                        & r1_tsep_1(A,k1_tsep_1(A,B,C),D) )
                    & ~ ( ~ r1_tsep_1(A,D,k1_tsep_1(A,B,C))
                        & r1_tsep_1(A,D,B)
                        & r1_tsep_1(A,D,C) )
                    & ~ ( ~ ( r1_tsep_1(A,D,B)
                            & r1_tsep_1(A,D,C) )
                        & r1_tsep_1(A,D,k1_tsep_1(A,B,C)) ) ) ) ) ) ) )).

fof(t40_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ( r1_tsep_1(A,k1_tsep_1(A,B,C),D)
                     => ( r1_tsep_1(A,B,D)
                        & r1_tsep_1(A,C,D) ) )
                    & ( ( r1_tsep_1(A,B,D)
                        & r1_tsep_1(A,C,D) )
                     => r1_tsep_1(A,k1_tsep_1(A,B,C),D) )
                    & ( r1_tsep_1(A,D,k1_tsep_1(A,B,C))
                     => ( r1_tsep_1(A,D,B)
                        & r1_tsep_1(A,D,C) ) )
                    & ( ( r1_tsep_1(A,D,B)
                        & r1_tsep_1(A,D,C) )
                     => r1_tsep_1(A,D,k1_tsep_1(A,B,C)) ) ) ) ) ) ) )).

fof(t41_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,B,C)
                   => ( ( ~ r1_tsep_1(A,k2_tsep_1(A,B,C),D)
                       => ( ~ r1_tsep_1(A,B,D)
                          & ~ r1_tsep_1(A,C,D) ) )
                      & ( ~ r1_tsep_1(A,D,k2_tsep_1(A,B,C))
                       => ( ~ r1_tsep_1(A,D,B)
                          & ~ r1_tsep_1(A,D,C) ) ) ) ) ) ) ) ) )).

fof(t42_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,B,C)
                   => ( ( ( r1_tsep_1(A,B,D)
                          | r1_tsep_1(A,C,D) )
                       => r1_tsep_1(A,k2_tsep_1(A,B,C),D) )
                      & ( ( r1_tsep_1(A,D,B)
                          | r1_tsep_1(A,D,C) )
                       => r1_tsep_1(A,D,k2_tsep_1(A,B,C)) ) ) ) ) ) ) ) )).

fof(t43_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_borsuk_1(C,A)
                & m1_pre_topc(C,A) )
             => ( ~ r1_tsep_1(A,C,B)
               => ( v1_borsuk_1(k2_tsep_1(A,C,B),B)
                  & m1_pre_topc(k2_tsep_1(A,C,B),B) ) ) ) ) ) )).

fof(t44_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_tsep_1(C,A)
                & m1_pre_topc(C,A) )
             => ( ~ r1_tsep_1(A,C,B)
               => ( v1_tsep_1(k2_tsep_1(A,C,B),B)
                  & m1_pre_topc(k2_tsep_1(A,C,B),B) ) ) ) ) ) )).

fof(t45_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_borsuk_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ( ( m1_pre_topc(B,D)
                      & r1_tsep_1(A,D,C) )
                   => ( v1_borsuk_1(B,k1_tsep_1(A,B,C))
                      & m1_pre_topc(B,k1_tsep_1(A,B,C))
                      & v1_borsuk_1(B,k1_tsep_1(A,C,B))
                      & m1_pre_topc(B,k1_tsep_1(A,C,B)) ) ) ) ) ) ) )).

fof(t46_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ( ( m1_pre_topc(B,D)
                      & r1_tsep_1(A,D,C) )
                   => ( v1_tsep_1(B,k1_tsep_1(A,B,C))
                      & m1_pre_topc(B,k1_tsep_1(A,B,C))
                      & v1_tsep_1(B,k1_tsep_1(A,C,B))
                      & m1_pre_topc(B,k1_tsep_1(A,C,B)) ) ) ) ) ) ) )).

fof(d2_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_tmap_1(A,B,C,D)
                  <=> ! [E] :
                        ( m1_connsp_2(E,B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D))
                       => ? [F] :
                            ( m1_connsp_2(F,A,D)
                            & r1_tarski(k4_pre_topc(A,B,C,F),E) ) ) ) ) ) ) ) )).

fof(t47_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r1_tmap_1(B,A,C,D)
                  <=> ! [E] :
                        ( m1_connsp_2(E,A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,D))
                       => m1_connsp_2(k5_pre_topc(B,A,C,E),B,D) ) ) ) ) ) ) )).

fof(t48_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_tmap_1(A,B,C,D)
                  <=> ! [E] :
                        ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
                       => ~ ( v3_pre_topc(E,B)
                            & r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),E)
                            & ! [F] :
                                ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A)))
                               => ~ ( v3_pre_topc(F,A)
                                    & r2_hidden(D,F)
                                    & r1_tarski(k4_pre_topc(A,B,C,F),E) ) ) ) ) ) ) ) ) ) )).

fof(t49_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ( v5_pre_topc(C,B,A)
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(B))
                   => r1_tmap_1(B,A,C,D) ) ) ) ) ) )).

fof(t50_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( ( u1_struct_0(B) = u1_struct_0(C)
                  & r1_tarski(u1_pre_topc(C),u1_pre_topc(B)) )
               => ! [D] :
                    ( ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C))
                          & m2_relset_1(E,u1_struct_0(A),u1_struct_0(C)) )
                       => ( D = E
                         => ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ( r1_tmap_1(A,B,D,F)
                               => r1_tmap_1(A,C,E,F) ) ) ) ) ) ) ) ) ) )).

fof(t51_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( ( u1_struct_0(A) = u1_struct_0(B)
                  & r1_tarski(u1_pre_topc(B),u1_pre_topc(A)) )
               => ! [D] :
                    ( ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C))
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) )
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
                          & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
                       => ( D = E
                         => ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ! [G] :
                                  ( m1_subset_1(G,u1_struct_0(B))
                                 => ( ( F = G
                                      & r1_tmap_1(B,C,E,G) )
                                   => r1_tmap_1(A,C,D,F) ) ) ) ) ) ) ) ) ) ) )).

fof(t52_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C))
                    & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(A)) )
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(C))
                             => ( ( G = k8_funct_2(u1_struct_0(B),u1_struct_0(C),D,F)
                                  & r1_tmap_1(B,C,D,F)
                                  & r1_tmap_1(C,A,E,G) )
                               => r1_tmap_1(B,A,k7_funct_2(u1_struct_0(B),u1_struct_0(C),u1_struct_0(A),D,E),F) ) ) ) ) ) ) ) ) )).

fof(t53_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(C),u1_struct_0(B)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A))
                        & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) )
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ( ( v5_pre_topc(D,C,B)
                              & r1_tmap_1(B,A,E,F) )
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(C))
                               => ( r2_hidden(G,k5_pre_topc(C,B,D,k1_struct_0(B,F)))
                                 => r1_tmap_1(C,A,k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),D,E),G) ) ) ) ) ) ) ) ) ) )).

fof(t54_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A))
                    & m2_relset_1(D,u1_struct_0(C),u1_struct_0(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ( ( r1_tmap_1(C,A,D,F)
                              & v5_pre_topc(E,A,B) )
                           => r1_tmap_1(C,B,k7_funct_2(u1_struct_0(C),u1_struct_0(A),u1_struct_0(B),D,E),F) ) ) ) ) ) ) ) )).

fof(t55_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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_funct_1(C)
                  & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                  & v5_pre_topc(C,A,B)
                  & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
              <=> ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => r1_tmap_1(A,B,C,D) ) ) ) ) ) )).

fof(t56_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( ( u1_struct_0(B) = u1_struct_0(C)
                  & r1_tarski(u1_pre_topc(C),u1_pre_topc(B)) )
               => ! [D] :
                    ( ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                      & v5_pre_topc(D,A,B)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                   => ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C))
                      & v5_pre_topc(D,A,C)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) ) ) ) ) ) ) )).

fof(t57_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( ( u1_struct_0(A) = u1_struct_0(B)
                  & r1_tarski(u1_pre_topc(B),u1_pre_topc(A)) )
               => ! [D] :
                    ( ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C))
                      & v5_pre_topc(D,B,C)
                      & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) )
                   => ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C))
                      & v5_pre_topc(D,A,C)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) ) ) ) ) ) ) )).

fof(d3_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( m1_pre_topc(C,A)
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => k2_tmap_1(A,B,C,D) = k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,u1_struct_0(C)) ) ) ) ) )).

fof(t58_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,B) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
                    & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ( r2_hidden(E,u1_struct_0(C))
                       => k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) = k1_funct_1(k2_tmap_1(B,A,C,D),E) ) ) ) ) ) ) )).

fof(t59_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,B) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
                    & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(A))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(A)) )
                     => ( ! [F] :
                            ( m1_subset_1(F,u1_struct_0(B))
                           => ( r2_hidden(F,u1_struct_0(C))
                             => k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F) = k1_funct_1(E,F) ) )
                       => k2_tmap_1(B,A,C,D) = E ) ) ) ) ) ) )).

fof(t60_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,B) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
                    & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
                 => ( g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))
                   => D = k2_tmap_1(B,A,C,D) ) ) ) ) ) )).

fof(t61_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,B) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
                    & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
                     => ( r1_tarski(E,u1_struct_0(C))
                       => k4_pre_topc(B,A,D,E) = k4_pre_topc(C,A,k2_tmap_1(B,A,C,D),E) ) ) ) ) ) ) )).

fof(t62_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
                     => ( r1_tarski(k5_pre_topc(A,B,D,E),u1_struct_0(C))
                       => k5_pre_topc(A,B,D,E) = k5_pre_topc(C,B,k2_tmap_1(A,B,C,D),E) ) ) ) ) ) ) )).

fof(t63_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,B) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(C),u1_struct_0(A))
                    & m2_relset_1(D,u1_struct_0(C),u1_struct_0(A)) )
                 => ? [E] :
                      ( v1_funct_1(E)
                      & v1_funct_2(E,u1_struct_0(B),u1_struct_0(A))
                      & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A))
                      & k2_tmap_1(B,A,C,E) = D ) ) ) ) ) )).

fof(t64_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,B) )
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(D))
                         => ( ( E = F
                              & r1_tmap_1(B,A,C,E) )
                           => r1_tmap_1(D,A,k2_tmap_1(B,A,D,C),F) ) ) ) ) ) ) ) )).

fof(t65_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,B) )
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(D))
                             => ( ( r1_tarski(E,u1_struct_0(D))
                                  & m1_connsp_2(E,B,F)
                                  & F = G )
                               => ( r1_tmap_1(B,A,C,F)
                                <=> r1_tmap_1(D,A,k2_tmap_1(B,A,D,C),G) ) ) ) ) ) ) ) ) ) )).

fof(t66_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,B) )
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(B))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(D))
                             => ( ( v3_pre_topc(E,B)
                                  & r2_hidden(F,E)
                                  & r1_tarski(E,u1_struct_0(D))
                                  & F = G )
                               => ( r1_tmap_1(B,A,C,F)
                                <=> r1_tmap_1(D,A,k2_tmap_1(B,A,D,C),G) ) ) ) ) ) ) ) ) ) )).

fof(t67_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,B)
                    & m1_pre_topc(D,B) )
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(D))
                         => ( E = F
                           => ( r1_tmap_1(B,A,C,E)
                            <=> r1_tmap_1(D,A,k2_tmap_1(B,A,D,C),F) ) ) ) ) ) ) ) ) )).

fof(t68_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v5_pre_topc(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( v1_funct_1(k2_tmap_1(A,B,D,C))
                    & v1_funct_2(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                    & v5_pre_topc(k2_tmap_1(A,B,D,C),D,B)
                    & m2_relset_1(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B)) ) ) ) ) ) )).

fof(t69_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C))
                            & m2_relset_1(F,u1_struct_0(B),u1_struct_0(C)) )
                         => k2_tmap_1(A,C,D,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,F)) = k7_funct_2(u1_struct_0(D),u1_struct_0(B),u1_struct_0(C),k2_tmap_1(A,B,D,E),F) ) ) ) ) ) ) )).

fof(t70_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
                        & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
                         => ( ( v5_pre_topc(E,B,C)
                              & v5_pre_topc(k2_tmap_1(A,B,D,F),D,B) )
                           => v5_pre_topc(k2_tmap_1(A,C,D,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),F,E)),D,C) ) ) ) ) ) ) ) )).

fof(t71_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
                        & v5_pre_topc(E,B,C)
                        & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
                         => ( ( v1_funct_1(k2_tmap_1(A,B,D,F))
                              & v1_funct_2(k2_tmap_1(A,B,D,F),u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(k2_tmap_1(A,B,D,F),D,B)
                              & m2_relset_1(k2_tmap_1(A,B,D,F),u1_struct_0(D),u1_struct_0(B)) )
                           => ( v1_funct_1(k2_tmap_1(A,C,D,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),F,E)))
                              & v1_funct_2(k2_tmap_1(A,C,D,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),F,E)),u1_struct_0(D),u1_struct_0(C))
                              & v5_pre_topc(k2_tmap_1(A,C,D,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),F,E)),D,C)
                              & m2_relset_1(k2_tmap_1(A,C,D,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),F,E)),u1_struct_0(D),u1_struct_0(C)) ) ) ) ) ) ) ) ) )).

fof(d4_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( m1_pre_topc(C,A)
             => ! [D] :
                  ( m1_pre_topc(D,A)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ( m1_pre_topc(D,C)
                       => k3_tmap_1(A,B,C,D,E) = k2_partfun1(u1_struct_0(C),u1_struct_0(B),E,u1_struct_0(D)) ) ) ) ) ) ) )).

fof(t72_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( m1_subset_1(F,u1_struct_0(D))
                           => ( r2_hidden(F,u1_struct_0(C))
                             => k8_funct_2(u1_struct_0(D),u1_struct_0(B),E,F) = k1_funct_1(k3_tmap_1(A,B,D,C,E),F) ) ) ) ) ) ) ) ) )).

fof(t73_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(C),u1_struct_0(B))
                              & m2_relset_1(F,u1_struct_0(C),u1_struct_0(B)) )
                           => ( ! [G] :
                                  ( m1_subset_1(G,u1_struct_0(D))
                                 => ( r2_hidden(G,u1_struct_0(C))
                                   => k8_funct_2(u1_struct_0(D),u1_struct_0(B),E,G) = k1_funct_1(F,G) ) )
                             => k3_tmap_1(A,B,D,C,E) = F ) ) ) ) ) ) ) ) )).

fof(t74_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(C),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(C),u1_struct_0(B)) )
                 => D = k3_tmap_1(A,B,C,C,D) ) ) ) ) )).

fof(t75_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D)))
                           => ( r1_tarski(F,u1_struct_0(C))
                             => k4_pre_topc(D,B,E,F) = k4_pre_topc(C,B,k3_tmap_1(A,B,D,C,E),F) ) ) ) ) ) ) ) ) )).

fof(t76_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B)))
                           => ( r1_tarski(k5_pre_topc(D,B,E,F),u1_struct_0(C))
                             => k5_pre_topc(D,B,E,F) = k5_pre_topc(C,B,k3_tmap_1(A,B,D,C,E),F) ) ) ) ) ) ) ) ) )).

fof(t77_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(C),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(C),u1_struct_0(B)) )
                         => ( ( F = k2_tmap_1(A,B,C,E)
                              & m1_pre_topc(D,C) )
                           => k3_tmap_1(A,B,C,D,F) = k2_tmap_1(A,B,D,E) ) ) ) ) ) ) ) )).

fof(t78_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => k3_tmap_1(A,B,D,C,k2_tmap_1(A,B,D,E)) = k2_tmap_1(A,B,C,E) ) ) ) ) ) ) )).

fof(t79_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( ( m1_pre_topc(D,C)
                          & m1_pre_topc(E,D) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(C),u1_struct_0(B))
                              & m2_relset_1(F,u1_struct_0(C),u1_struct_0(B)) )
                           => k3_tmap_1(A,B,D,E,k3_tmap_1(A,B,C,D,F)) = k3_tmap_1(A,B,C,E,F) ) ) ) ) ) ) ) )).

fof(t80_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(C),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(C),u1_struct_0(B)) )
                         => ! [G] :
                              ( ( v1_funct_1(G)
                                & v1_funct_2(G,u1_struct_0(D),u1_struct_0(B))
                                & m2_relset_1(G,u1_struct_0(D),u1_struct_0(B)) )
                             => ( ( D = A
                                  & E = G )
                               => ( k3_tmap_1(A,B,D,C,G) = F
                                <=> k2_tmap_1(A,B,C,E) = F ) ) ) ) ) ) ) ) ) )).

fof(t81_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(D))
                             => ( ( F = G
                                  & m1_pre_topc(D,C)
                                  & r1_tmap_1(C,B,E,F) )
                               => r1_tmap_1(D,B,k3_tmap_1(A,B,C,D,E),G) ) ) ) ) ) ) ) ) )).

fof(t82_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( m1_subset_1(F,u1_struct_0(D))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(C))
                               => ( ( F = G
                                    & r1_tmap_1(D,B,k2_tmap_1(A,B,D,E),F) )
                                 => r1_tmap_1(C,B,k2_tmap_1(A,B,C,E),G) ) ) ) ) ) ) ) ) ) )).

fof(t83_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D)))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(D))
                               => ! [H] :
                                    ( m1_subset_1(H,u1_struct_0(C))
                                   => ( ( r1_tarski(F,u1_struct_0(C))
                                        & m1_connsp_2(F,D,G)
                                        & G = H )
                                     => ( r1_tmap_1(D,B,E,G)
                                      <=> r1_tmap_1(C,B,k3_tmap_1(A,B,D,C,E),H) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t84_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D)))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(D))
                               => ! [H] :
                                    ( m1_subset_1(H,u1_struct_0(C))
                                   => ( ( v3_pre_topc(F,D)
                                        & r2_hidden(G,F)
                                        & r1_tarski(F,u1_struct_0(C))
                                        & G = H )
                                     => ( r1_tmap_1(D,B,E,G)
                                      <=> r1_tmap_1(C,B,k3_tmap_1(A,B,D,C,E),H) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t85_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,B) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,B) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(A))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(A)) )
                     => ( m1_pre_topc(C,D)
                       => ! [F] :
                            ( m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B)))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(D))
                               => ! [H] :
                                    ( m1_subset_1(H,u1_struct_0(C))
                                   => ( ( v3_pre_topc(F,B)
                                        & r2_hidden(G,F)
                                        & r1_tarski(F,u1_struct_0(C))
                                        & G = H )
                                     => ( r1_tmap_1(D,A,E,G)
                                      <=> r1_tmap_1(C,A,k3_tmap_1(B,A,D,C,E),H) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t86_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( ( v1_tsep_1(C,D)
                          & m1_pre_topc(C,D) )
                       => ! [F] :
                            ( m1_subset_1(F,u1_struct_0(D))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(C))
                               => ( F = G
                                 => ( r1_tmap_1(D,B,E,F)
                                  <=> r1_tmap_1(C,B,k3_tmap_1(A,B,D,C,E),G) ) ) ) ) ) ) ) ) ) ) )).

fof(t87_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,B) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,B) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(A))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(A)) )
                     => ( ( v1_tsep_1(C,B)
                          & m1_pre_topc(C,B)
                          & m1_pre_topc(C,D) )
                       => ! [F] :
                            ( m1_subset_1(F,u1_struct_0(D))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(C))
                               => ( F = G
                                 => ( r1_tmap_1(D,A,E,F)
                                  <=> r1_tmap_1(C,A,k3_tmap_1(B,A,D,C,E),G) ) ) ) ) ) ) ) ) ) ) )).

fof(t88_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(D),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(D),u1_struct_0(B)) )
                     => ( g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = D
                       => ! [F] :
                            ( m1_subset_1(F,u1_struct_0(D))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(C))
                               => ( ( F = G
                                    & r1_tmap_1(C,B,k3_tmap_1(A,B,D,C,E),G) )
                                 => r1_tmap_1(D,B,E,F) ) ) ) ) ) ) ) ) ) )).

fof(t89_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & v5_pre_topc(E,C,B)
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ( m1_pre_topc(D,C)
                       => ( v1_funct_1(k3_tmap_1(A,B,C,D,E))
                          & v1_funct_2(k3_tmap_1(A,B,C,D,E),u1_struct_0(D),u1_struct_0(B))
                          & v5_pre_topc(k3_tmap_1(A,B,C,D,E),D,B)
                          & m2_relset_1(k3_tmap_1(A,B,C,D,E),u1_struct_0(D),u1_struct_0(B)) ) ) ) ) ) ) ) )).

fof(t90_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( ( m1_pre_topc(C,D)
                          & m1_pre_topc(E,C) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( ( v1_funct_1(k3_tmap_1(A,B,D,C,F))
                                & v1_funct_2(k3_tmap_1(A,B,D,C,F),u1_struct_0(C),u1_struct_0(B))
                                & v5_pre_topc(k3_tmap_1(A,B,D,C,F),C,B)
                                & m2_relset_1(k3_tmap_1(A,B,D,C,F),u1_struct_0(C),u1_struct_0(B)) )
                             => ( v1_funct_1(k3_tmap_1(A,B,D,E,F))
                                & v1_funct_2(k3_tmap_1(A,B,D,E,F),u1_struct_0(E),u1_struct_0(B))
                                & v5_pre_topc(k3_tmap_1(A,B,D,E,F),E,B)
                                & m2_relset_1(k3_tmap_1(A,B,D,E,F),u1_struct_0(E),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).

fof(t91_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k8_funct_2(u1_struct_0(A),u1_struct_0(A),k7_grcat_1(A),B) = B ) ) )).

fof(t92_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = C )
           => B = k7_grcat_1(A) ) ) ) )).

fof(t93_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_struct_0(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)) )
             => ( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),k7_grcat_1(A),C) = C
                & k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),C,k7_grcat_1(B)) = C ) ) ) ) )).

fof(t94_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ( v1_funct_1(k7_grcat_1(A))
        & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
        & v5_pre_topc(k7_grcat_1(A),A,A)
        & m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) ) ) )).

fof(d5_tmap_1,axiom,(
    $true )).

fof(d6_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_pre_topc(B,A)
         => k4_tmap_1(A,B) = k2_tmap_1(A,A,B,k7_grcat_1(A)) ) ) )).

fof(t95_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(C,u1_struct_0(B))
               => k1_funct_1(k4_tmap_1(A,B),C) = C ) ) ) ) )).

fof(t96_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ( ! [D] :
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_hidden(D,u1_struct_0(B))
                     => D = k1_funct_1(C,D) ) )
               => k4_tmap_1(A,B) = C ) ) ) ) )).

fof(t97_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => k2_tmap_1(A,B,C,D) = k7_funct_2(u1_struct_0(C),u1_struct_0(A),u1_struct_0(B),k4_tmap_1(A,C),D) ) ) ) ) )).

fof(t98_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ( v1_funct_1(k4_tmap_1(A,B))
            & v1_funct_2(k4_tmap_1(A,B),u1_struct_0(B),u1_struct_0(A))
            & v5_pre_topc(k4_tmap_1(A,B),B,A)
            & m2_relset_1(k4_tmap_1(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) ) )).

fof(t99_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => r1_tarski(u1_pre_topc(A),k5_tmap_1(A,B)) ) ) )).

fof(t102_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => r2_hidden(B,k5_tmap_1(A,B)) ) ) )).

fof(t103_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( r2_hidden(B,u1_pre_topc(A))
          <=> u1_pre_topc(A) = k5_tmap_1(A,B) ) ) ) )).

fof(d8_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => k6_tmap_1(A,B) = g1_pre_topc(u1_struct_0(A),k5_tmap_1(A,B)) ) ) )).

fof(t104_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( u1_struct_0(k6_tmap_1(A,B)) = u1_struct_0(A)
            & u1_pre_topc(k6_tmap_1(A,B)) = k5_tmap_1(A,B) ) ) ) )).

fof(t105_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_tmap_1(A,B))))
             => ( C = B
               => v3_pre_topc(C,k6_tmap_1(A,B)) ) ) ) ) )).

fof(t106_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_pre_topc(B,A)
          <=> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k6_tmap_1(A,B) ) ) ) )).

fof(d9_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => k7_tmap_1(A,B) = k6_partfun1(u1_struct_0(A)) ) ) )).

fof(t107_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_pre_topc(B,A)
           => k7_tmap_1(A,B) = k7_grcat_1(A) ) ) ) )).

fof(t108_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ~ r2_hidden(C,B)
               => r1_tmap_1(A,k6_tmap_1(A,B),k7_tmap_1(A,B),C) ) ) ) ) )).

fof(t109_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r1_xboole_0(u1_struct_0(C),B)
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(C))
                   => r1_tmap_1(C,k6_tmap_1(A,B),k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),D) ) ) ) ) ) )).

fof(t110_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( u1_struct_0(C) = B
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(C))
                   => r1_tmap_1(C,k6_tmap_1(A,B),k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),D) ) ) ) ) ) )).

fof(t111_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r1_xboole_0(u1_struct_0(C),B)
               => ( v1_funct_1(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)))
                  & v1_funct_2(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),u1_struct_0(C),u1_struct_0(k6_tmap_1(A,B)))
                  & v5_pre_topc(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),C,k6_tmap_1(A,B))
                  & m2_relset_1(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),u1_struct_0(C),u1_struct_0(k6_tmap_1(A,B))) ) ) ) ) ) )).

fof(t112_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( u1_struct_0(C) = B
               => ( v1_funct_1(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)))
                  & v1_funct_2(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),u1_struct_0(C),u1_struct_0(k6_tmap_1(A,B)))
                  & v5_pre_topc(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),C,k6_tmap_1(A,B))
                  & m2_relset_1(k2_tmap_1(A,k6_tmap_1(A,B),C,k7_tmap_1(A,B)),u1_struct_0(C),u1_struct_0(k6_tmap_1(A,B))) ) ) ) ) ) )).

fof(t113_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_pre_topc(B,A)
          <=> ( v1_funct_1(k7_tmap_1(A,B))
              & v1_funct_2(k7_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B)))
              & v5_pre_topc(k7_tmap_1(A,B),A,k6_tmap_1(A,B))
              & m2_relset_1(k7_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B))) ) ) ) ) )).

fof(d10_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_pre_topc(B,A)
         => ! [C] :
              ( ( v1_pre_topc(C)
                & v2_pre_topc(C)
                & l1_pre_topc(C) )
             => ( C = k8_tmap_1(A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                   => ( D = u1_struct_0(B)
                     => C = k6_tmap_1(A,D) ) ) ) ) ) ) )).

fof(t114_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ( u1_struct_0(k8_tmap_1(A,B)) = u1_struct_0(A)
            & ! [C] :
                ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
               => ( C = u1_struct_0(B)
                 => u1_pre_topc(k8_tmap_1(A,B)) = k5_tmap_1(A,C) ) ) ) ) ) )).

fof(t115_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( m1_pre_topc(C,k8_tmap_1(A,B))
             => ( u1_struct_0(C) = u1_struct_0(B)
               => ( v1_tsep_1(C,k8_tmap_1(A,B))
                  & m1_pre_topc(C,k8_tmap_1(A,B)) ) ) ) ) ) )).

fof(t116_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ( ( v1_tsep_1(B,A)
              & m1_pre_topc(B,A) )
          <=> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k8_tmap_1(A,B) ) ) ) )).

fof(d11_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_pre_topc(B,A)
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B)))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))) )
             => ( C = k9_tmap_1(A,B)
              <=> ! [D] :
                    ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                   => ( D = u1_struct_0(B)
                     => C = k7_tmap_1(A,D) ) ) ) ) ) ) )).

fof(t117_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ( ( v1_tsep_1(B,A)
              & m1_pre_topc(B,A) )
           => k9_tmap_1(A,B) = k7_grcat_1(A) ) ) ) )).

fof(t118_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r1_tsep_1(A,B,C)
               => ! [D] :
                    ( m1_subset_1(D,u1_struct_0(C))
                   => r1_tmap_1(C,k8_tmap_1(A,B),k2_tmap_1(A,k8_tmap_1(A,B),C,k9_tmap_1(A,B)),D) ) ) ) ) ) )).

fof(t119_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => r1_tmap_1(B,k8_tmap_1(A,B),k2_tmap_1(A,k8_tmap_1(A,B),B,k9_tmap_1(A,B)),C) ) ) ) )).

fof(t120_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r1_tsep_1(A,B,C)
               => ( v1_funct_1(k2_tmap_1(A,k8_tmap_1(A,B),C,k9_tmap_1(A,B)))
                  & v1_funct_2(k2_tmap_1(A,k8_tmap_1(A,B),C,k9_tmap_1(A,B)),u1_struct_0(C),u1_struct_0(k8_tmap_1(A,B)))
                  & v5_pre_topc(k2_tmap_1(A,k8_tmap_1(A,B),C,k9_tmap_1(A,B)),C,k8_tmap_1(A,B))
                  & m2_relset_1(k2_tmap_1(A,k8_tmap_1(A,B),C,k9_tmap_1(A,B)),u1_struct_0(C),u1_struct_0(k8_tmap_1(A,B))) ) ) ) ) ) )).

fof(t121_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ( v1_funct_1(k2_tmap_1(A,k8_tmap_1(A,B),B,k9_tmap_1(A,B)))
            & v1_funct_2(k2_tmap_1(A,k8_tmap_1(A,B),B,k9_tmap_1(A,B)),u1_struct_0(B),u1_struct_0(k8_tmap_1(A,B)))
            & v5_pre_topc(k2_tmap_1(A,k8_tmap_1(A,B),B,k9_tmap_1(A,B)),B,k8_tmap_1(A,B))
            & m2_relset_1(k2_tmap_1(A,k8_tmap_1(A,B),B,k9_tmap_1(A,B)),u1_struct_0(B),u1_struct_0(k8_tmap_1(A,B))) ) ) ) )).

fof(t122_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_pre_topc(B,A)
         => ( ( v1_tsep_1(B,A)
              & m1_pre_topc(B,A) )
          <=> ( v1_funct_1(k9_tmap_1(A,B))
              & v1_funct_2(k9_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B)))
              & v5_pre_topc(k9_tmap_1(A,B),A,k8_tmap_1(A,B))
              & m2_relset_1(k9_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))) ) ) ) ) )).

fof(t123_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(D))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k1_tsep_1(A,C,D)))
                                 => ( ( H = F
                                      & H = G )
                                   => ( r1_tmap_1(k1_tsep_1(A,C,D),B,E,H)
                                    <=> ( r1_tmap_1(C,B,k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),F)
                                        & r1_tmap_1(D,B,k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),G) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t124_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(k1_tsep_1(A,D,E)))
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(D))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(E))
                                 => ( ( F = G
                                      & F = H )
                                   => ( r1_tmap_1(k1_tsep_1(A,D,E),B,k2_tmap_1(A,B,k1_tsep_1(A,D,E),C),F)
                                    <=> ( r1_tmap_1(D,B,k2_tmap_1(A,B,D,C),G)
                                        & r1_tmap_1(E,B,k2_tmap_1(A,B,E,C),H) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t125_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( A = k1_tsep_1(A,D,E)
                       => ! [F] :
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] :
                                ( m1_subset_1(G,u1_struct_0(D))
                               => ! [H] :
                                    ( m1_subset_1(H,u1_struct_0(E))
                                   => ( ( F = G
                                        & F = H )
                                     => ( r1_tmap_1(A,B,C,F)
                                      <=> ( r1_tmap_1(D,B,k2_tmap_1(A,B,D,C),G)
                                          & r1_tmap_1(E,B,k2_tmap_1(A,B,E,C),H) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t126_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( r4_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                          & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                       => ( ( v1_funct_1(E)
                            & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                            & v5_pre_topc(E,k1_tsep_1(A,C,D),B)
                            & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                        <=> ( v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E))
                            & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B))
                            & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),C,B)
                            & m2_relset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B))
                            & v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E))
                            & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B))
                            & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),D,B)
                            & m2_relset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t127_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_borsuk_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_borsuk_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                     => ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                          & v5_pre_topc(E,k1_tsep_1(A,C,D),B)
                          & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                      <=> ( v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E))
                          & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),C,B)
                          & m2_relset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B))
                          & v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E))
                          & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B))
                          & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),D,B)
                          & m2_relset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B)) ) ) ) ) ) ) ) )).

fof(t128_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_tsep_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                     => ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                          & v5_pre_topc(E,k1_tsep_1(A,C,D),B)
                          & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                      <=> ( v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E))
                          & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),C,B)
                          & m2_relset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),u1_struct_0(C),u1_struct_0(B))
                          & v1_funct_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E))
                          & v1_funct_2(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B))
                          & v5_pre_topc(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),D,B)
                          & m2_relset_1(k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E),u1_struct_0(D),u1_struct_0(B)) ) ) ) ) ) ) ) )).

fof(t129_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( r4_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                          & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                       => ( ( v1_funct_1(k2_tmap_1(A,B,k1_tsep_1(A,C,D),E))
                            & v1_funct_2(k2_tmap_1(A,B,k1_tsep_1(A,C,D),E),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,k1_tsep_1(A,C,D),E),k1_tsep_1(A,C,D),B)
                            & m2_relset_1(k2_tmap_1(A,B,k1_tsep_1(A,C,D),E),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                        <=> ( v1_funct_1(k2_tmap_1(A,B,C,E))
                            & v1_funct_2(k2_tmap_1(A,B,C,E),u1_struct_0(C),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,C,E),C,B)
                            & m2_relset_1(k2_tmap_1(A,B,C,E),u1_struct_0(C),u1_struct_0(B))
                            & v1_funct_1(k2_tmap_1(A,B,D,E))
                            & v1_funct_2(k2_tmap_1(A,B,D,E),u1_struct_0(D),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,D,E),D,B)
                            & m2_relset_1(k2_tmap_1(A,B,D,E),u1_struct_0(D),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t130_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_borsuk_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & v1_borsuk_1(E,A)
                        & m1_pre_topc(E,A) )
                     => ( ( v1_funct_1(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C))
                          & v1_funct_2(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C),u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B))
                          & v5_pre_topc(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C),k1_tsep_1(A,D,E),B)
                          & m2_relset_1(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C),u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B)) )
                      <=> ( v1_funct_1(k2_tmap_1(A,B,D,C))
                          & v1_funct_2(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                          & v5_pre_topc(k2_tmap_1(A,B,D,C),D,B)
                          & m2_relset_1(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                          & v1_funct_1(k2_tmap_1(A,B,E,C))
                          & v1_funct_2(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B))
                          & v5_pre_topc(k2_tmap_1(A,B,E,C),E,B)
                          & m2_relset_1(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B)) ) ) ) ) ) ) ) )).

fof(t131_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & v1_tsep_1(E,A)
                        & m1_pre_topc(E,A) )
                     => ( ( v1_funct_1(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C))
                          & v1_funct_2(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C),u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B))
                          & v5_pre_topc(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C),k1_tsep_1(A,D,E),B)
                          & m2_relset_1(k2_tmap_1(A,B,k1_tsep_1(A,D,E),C),u1_struct_0(k1_tsep_1(A,D,E)),u1_struct_0(B)) )
                      <=> ( v1_funct_1(k2_tmap_1(A,B,D,C))
                          & v1_funct_2(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                          & v5_pre_topc(k2_tmap_1(A,B,D,C),D,B)
                          & m2_relset_1(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                          & v1_funct_1(k2_tmap_1(A,B,E,C))
                          & v1_funct_2(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B))
                          & v5_pre_topc(k2_tmap_1(A,B,E,C),E,B)
                          & m2_relset_1(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B)) ) ) ) ) ) ) ) )).

fof(t132_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ( ( A = k1_tsep_1(A,D,E)
                          & r4_tsep_1(A,D,E) )
                       => ( ( v1_funct_1(C)
                            & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                            & v5_pre_topc(C,A,B)
                            & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
                        <=> ( v1_funct_1(k2_tmap_1(A,B,D,C))
                            & v1_funct_2(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,D,C),D,B)
                            & m2_relset_1(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                            & v1_funct_1(k2_tmap_1(A,B,E,C))
                            & v1_funct_2(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,E,C),E,B)
                            & m2_relset_1(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t133_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_borsuk_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & v1_borsuk_1(E,A)
                        & m1_pre_topc(E,A) )
                     => ( A = k1_tsep_1(A,D,E)
                       => ( ( v1_funct_1(C)
                            & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                            & v5_pre_topc(C,A,B)
                            & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
                        <=> ( v1_funct_1(k2_tmap_1(A,B,D,C))
                            & v1_funct_2(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,D,C),D,B)
                            & m2_relset_1(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                            & v1_funct_1(k2_tmap_1(A,B,E,C))
                            & v1_funct_2(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,E,C),E,B)
                            & m2_relset_1(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t134_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(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)) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & v1_tsep_1(E,A)
                        & m1_pre_topc(E,A) )
                     => ( A = k1_tsep_1(A,D,E)
                       => ( ( v1_funct_1(C)
                            & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                            & v5_pre_topc(C,A,B)
                            & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
                        <=> ( v1_funct_1(k2_tmap_1(A,B,D,C))
                            & v1_funct_2(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,D,C),D,B)
                            & m2_relset_1(k2_tmap_1(A,B,D,C),u1_struct_0(D),u1_struct_0(B))
                            & v1_funct_1(k2_tmap_1(A,B,E,C))
                            & v1_funct_2(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B))
                            & v5_pre_topc(k2_tmap_1(A,B,E,C),E,B)
                            & m2_relset_1(k2_tmap_1(A,B,E,C),u1_struct_0(E),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t135_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r3_tsep_1(A,B,C)
              <=> ( r1_tsep_1(A,B,C)
                  & ! [D] :
                      ( ( ~ v3_struct_0(D)
                        & v2_pre_topc(D)
                        & l1_pre_topc(D) )
                     => ! [E] :
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D))
                            & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) )
                         => ( ( v1_funct_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E))
                              & v1_funct_2(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E),u1_struct_0(B),u1_struct_0(D))
                              & v5_pre_topc(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E),B,D)
                              & m2_relset_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),B,E),u1_struct_0(B),u1_struct_0(D))
                              & v1_funct_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E))
                              & v1_funct_2(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E),u1_struct_0(C),u1_struct_0(D))
                              & v5_pre_topc(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E),C,D)
                              & m2_relset_1(k3_tmap_1(A,D,k1_tsep_1(A,B,C),C,E),u1_struct_0(C),u1_struct_0(D)) )
                           => ( v1_funct_1(E)
                              & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D))
                              & v5_pre_topc(E,k1_tsep_1(A,B,C),D)
                              & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) ) ) ) ) ) ) ) ) ) )).

fof(t136_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r3_tsep_1(A,B,C)
              <=> ( r1_tsep_1(A,B,C)
                  & ! [D] :
                      ( ( ~ v3_struct_0(D)
                        & v2_pre_topc(D)
                        & l1_pre_topc(D) )
                     => ! [E] :
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D))
                            & m2_relset_1(E,u1_struct_0(A),u1_struct_0(D)) )
                         => ( ( v1_funct_1(k2_tmap_1(A,D,B,E))
                              & v1_funct_2(k2_tmap_1(A,D,B,E),u1_struct_0(B),u1_struct_0(D))
                              & v5_pre_topc(k2_tmap_1(A,D,B,E),B,D)
                              & m2_relset_1(k2_tmap_1(A,D,B,E),u1_struct_0(B),u1_struct_0(D))
                              & v1_funct_1(k2_tmap_1(A,D,C,E))
                              & v1_funct_2(k2_tmap_1(A,D,C,E),u1_struct_0(C),u1_struct_0(D))
                              & v5_pre_topc(k2_tmap_1(A,D,C,E),C,D)
                              & m2_relset_1(k2_tmap_1(A,D,C,E),u1_struct_0(C),u1_struct_0(D)) )
                           => ( v1_funct_1(k2_tmap_1(A,D,k1_tsep_1(A,B,C),E))
                              & v1_funct_2(k2_tmap_1(A,D,k1_tsep_1(A,B,C),E),u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D))
                              & v5_pre_topc(k2_tmap_1(A,D,k1_tsep_1(A,B,C),E),k1_tsep_1(A,B,C),D)
                              & m2_relset_1(k2_tmap_1(A,D,k1_tsep_1(A,B,C),E),u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) ) ) ) ) ) ) ) ) ) )).

fof(t137_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( A = k1_tsep_1(A,B,C)
               => ( r3_tsep_1(A,B,C)
                <=> ( r1_tsep_1(A,B,C)
                    & ! [D] :
                        ( ( ~ v3_struct_0(D)
                          & v2_pre_topc(D)
                          & l1_pre_topc(D) )
                       => ! [E] :
                            ( ( v1_funct_1(E)
                              & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D))
                              & m2_relset_1(E,u1_struct_0(A),u1_struct_0(D)) )
                           => ( ( v1_funct_1(k2_tmap_1(A,D,B,E))
                                & v1_funct_2(k2_tmap_1(A,D,B,E),u1_struct_0(B),u1_struct_0(D))
                                & v5_pre_topc(k2_tmap_1(A,D,B,E),B,D)
                                & m2_relset_1(k2_tmap_1(A,D,B,E),u1_struct_0(B),u1_struct_0(D))
                                & v1_funct_1(k2_tmap_1(A,D,C,E))
                                & v1_funct_2(k2_tmap_1(A,D,C,E),u1_struct_0(C),u1_struct_0(D))
                                & v5_pre_topc(k2_tmap_1(A,D,C,E),C,D)
                                & m2_relset_1(k2_tmap_1(A,D,C,E),u1_struct_0(C),u1_struct_0(D)) )
                             => ( v1_funct_1(E)
                                & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D))
                                & v5_pre_topc(E,A,D)
                                & m2_relset_1(E,u1_struct_0(A),u1_struct_0(D)) ) ) ) ) ) ) ) ) ) ) )).

fof(d12_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                         => ( ( r1_tsep_1(A,C,D)
                              | k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F) )
                           => ! [G] :
                                ( ( v1_funct_1(G)
                                  & v1_funct_2(G,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                                  & m2_relset_1(G,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                               => ( G = k10_tmap_1(A,B,C,D,E,F)
                                <=> ( k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,G) = E
                                    & k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,G) = F ) ) ) ) ) ) ) ) ) ) )).

fof(t138_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) )
                     => E = k10_tmap_1(A,B,C,D,k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,E),k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,E)) ) ) ) ) ) )).

fof(t139_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( A = k1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
                          & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                       => E = k10_tmap_1(A,B,C,D,k2_tmap_1(A,B,C,E),k2_tmap_1(A,B,D,E)) ) ) ) ) ) ) )).

fof(t140_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( ( k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)) = E
                                & k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)) = F )
                            <=> k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F) ) ) ) ) ) ) ) ) )).

fof(t141_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                         => ( k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)
                           => ( ( m1_pre_topc(C,D)
                               => k10_tmap_1(A,B,C,D,E,F) = F )
                              & ( k10_tmap_1(A,B,C,D,E,F) = F
                               => m1_pre_topc(C,D) )
                              & ( m1_pre_topc(D,C)
                               => k10_tmap_1(A,B,C,D,E,F) = E )
                              & ( k10_tmap_1(A,B,C,D,E,F) = E
                               => m1_pre_topc(D,C) ) ) ) ) ) ) ) ) ) )).

fof(t142_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                         => ( ( r1_tsep_1(A,C,D)
                              | k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F) )
                           => k10_tmap_1(A,B,C,D,E,F) = k10_tmap_1(A,B,D,C,F,E) ) ) ) ) ) ) ) )).

fof(t143_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & m1_pre_topc(E,A) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(C),u1_struct_0(B))
                            & m2_relset_1(F,u1_struct_0(C),u1_struct_0(B)) )
                         => ! [G] :
                              ( ( v1_funct_1(G)
                                & v1_funct_2(G,u1_struct_0(D),u1_struct_0(B))
                                & m2_relset_1(G,u1_struct_0(D),u1_struct_0(B)) )
                             => ! [H] :
                                  ( ( v1_funct_1(H)
                                    & v1_funct_2(H,u1_struct_0(E),u1_struct_0(B))
                                    & m2_relset_1(H,u1_struct_0(E),u1_struct_0(B)) )
                                 => ~ ( ( r1_tsep_1(A,C,D)
                                        | k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),F) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),G) )
                                      & ( r1_tsep_1(A,C,E)
                                        | k3_tmap_1(A,B,C,k2_tsep_1(A,C,E),F) = k3_tmap_1(A,B,E,k2_tsep_1(A,C,E),H) )
                                      & ( r1_tsep_1(A,D,E)
                                        | k3_tmap_1(A,B,D,k2_tsep_1(A,D,E),G) = k3_tmap_1(A,B,E,k2_tsep_1(A,D,E),H) )
                                      & k10_tmap_1(A,B,k1_tsep_1(A,C,D),E,k10_tmap_1(A,B,C,D,F,G),H) != k10_tmap_1(A,B,C,k1_tsep_1(A,D,E),F,k10_tmap_1(A,B,D,E,G,H)) ) ) ) ) ) ) ) ) ) )).

fof(t144_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(E,C,B)
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(F,D,B)
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( ( k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)
                                & r4_tsep_1(A,C,D) )
                             => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                                & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                                & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B)
                                & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).

fof(t145_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( r1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(E,C,B)
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(F,D,B)
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( r4_tsep_1(A,C,D)
                             => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                                & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                                & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B)
                                & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).

fof(t146_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_borsuk_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_borsuk_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(E,C,B)
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(F,D,B)
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)
                             => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                                & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                                & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B)
                                & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).

fof(t147_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_tsep_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ( ~ r1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(E,C,B)
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(F,D,B)
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( k3_tmap_1(A,B,C,k2_tsep_1(A,C,D),E) = k3_tmap_1(A,B,D,k2_tsep_1(A,C,D),F)
                             => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                                & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                                & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B)
                                & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).

fof(t148_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_borsuk_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_borsuk_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ( r1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(E,C,B)
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(F,D,B)
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                              & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                              & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B)
                              & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t149_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_tsep_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ( r1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(E,C,B)
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(F,D,B)
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                              & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
                              & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),k1_tsep_1(A,C,D),B)
                              & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t150_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & m1_pre_topc(B,A) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ( r3_tsep_1(A,B,C)
              <=> ( r1_tsep_1(A,B,C)
                  & ! [D] :
                      ( ( ~ v3_struct_0(D)
                        & v2_pre_topc(D)
                        & l1_pre_topc(D) )
                     => ! [E] :
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,u1_struct_0(B),u1_struct_0(D))
                            & v5_pre_topc(E,B,D)
                            & m2_relset_1(E,u1_struct_0(B),u1_struct_0(D)) )
                         => ! [F] :
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D))
                                & v5_pre_topc(F,C,D)
                                & m2_relset_1(F,u1_struct_0(C),u1_struct_0(D)) )
                             => ( v1_funct_1(k10_tmap_1(A,D,B,C,E,F))
                                & v1_funct_2(k10_tmap_1(A,D,B,C,E,F),u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D))
                                & v5_pre_topc(k10_tmap_1(A,D,B,C,E,F),k1_tsep_1(A,B,C),D)
                                & m2_relset_1(k10_tmap_1(A,D,B,C,E,F),u1_struct_0(k1_tsep_1(A,B,C)),u1_struct_0(D)) ) ) ) ) ) ) ) ) ) )).

fof(t151_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & m1_pre_topc(D,A) )
                 => ( A = k1_tsep_1(A,C,D)
                   => ! [E] :
                        ( ( v1_funct_1(E)
                          & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                          & v5_pre_topc(E,C,B)
                          & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                       => ! [F] :
                            ( ( v1_funct_1(F)
                              & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                              & v5_pre_topc(F,D,B)
                              & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                           => ( ( k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)) = E
                                & k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)) = F
                                & r4_tsep_1(A,C,D) )
                             => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                                & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B))
                                & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),A,B)
                                & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) ) ) ) )).

fof(t152_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_borsuk_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_borsuk_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & v5_pre_topc(E,C,B)
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                            & v5_pre_topc(F,D,B)
                            & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                         => ( ( A = k1_tsep_1(A,C,D)
                              & k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)) = E
                              & k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)) = F )
                           => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                              & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B))
                              & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),A,B)
                              & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(t153_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & v2_pre_topc(B)
            & l1_pre_topc(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & v1_tsep_1(C,A)
                & m1_pre_topc(C,A) )
             => ! [D] :
                  ( ( ~ v3_struct_0(D)
                    & v1_tsep_1(D,A)
                    & m1_pre_topc(D,A) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
                        & v5_pre_topc(E,C,B)
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
                            & v5_pre_topc(F,D,B)
                            & m2_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
                         => ( ( A = k1_tsep_1(A,C,D)
                              & k3_tmap_1(A,B,k1_tsep_1(A,C,D),C,k10_tmap_1(A,B,C,D,E,F)) = E
                              & k3_tmap_1(A,B,k1_tsep_1(A,C,D),D,k10_tmap_1(A,B,C,D,E,F)) = F )
                           => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
                              & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B))
                              & v5_pre_topc(k10_tmap_1(A,B,C,D,E,F),A,B)
                              & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) ) ) )).

fof(dt_k1_tmap_1,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(A))
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(A))
        & v1_funct_1(E)
        & v1_funct_2(E,C,B)
        & m1_relset_1(E,C,B)
        & v1_funct_1(F)
        & v1_funct_2(F,D,B)
        & m1_relset_1(F,D,B) )
     => ( v1_funct_1(k1_tmap_1(A,B,C,D,E,F))
        & v1_funct_2(k1_tmap_1(A,B,C,D,E,F),k4_subset_1(A,C,D),B)
        & m2_relset_1(k1_tmap_1(A,B,C,D,E,F),k4_subset_1(A,C,D),B) ) ) )).

fof(dt_k2_tmap_1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & m1_pre_topc(C,A)
        & v1_funct_1(D)
        & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
     => ( v1_funct_1(k2_tmap_1(A,B,C,D))
        & v1_funct_2(k2_tmap_1(A,B,C,D),u1_struct_0(C),u1_struct_0(B))
        & m2_relset_1(k2_tmap_1(A,B,C,D),u1_struct_0(C),u1_struct_0(B)) ) ) )).

fof(dt_k3_tmap_1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & m1_pre_topc(C,A)
        & m1_pre_topc(D,A)
        & v1_funct_1(E)
        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
        & m1_relset_1(E,u1_struct_0(C),u1_struct_0(B)) )
     => ( v1_funct_1(k3_tmap_1(A,B,C,D,E))
        & v1_funct_2(k3_tmap_1(A,B,C,D,E),u1_struct_0(D),u1_struct_0(B))
        & m2_relset_1(k3_tmap_1(A,B,C,D,E),u1_struct_0(D),u1_struct_0(B)) ) ) )).

fof(dt_k4_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_pre_topc(B,A) )
     => ( v1_funct_1(k4_tmap_1(A,B))
        & v1_funct_2(k4_tmap_1(A,B),u1_struct_0(B),u1_struct_0(A))
        & m2_relset_1(k4_tmap_1(A,B),u1_struct_0(B),u1_struct_0(A)) ) ) )).

fof(dt_k5_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => m1_subset_1(k5_tmap_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) )).

fof(dt_k6_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_pre_topc(k6_tmap_1(A,B))
        & v2_pre_topc(k6_tmap_1(A,B))
        & l1_pre_topc(k6_tmap_1(A,B)) ) ) )).

fof(dt_k7_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_funct_1(k7_tmap_1(A,B))
        & v1_funct_2(k7_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B)))
        & m2_relset_1(k7_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k6_tmap_1(A,B))) ) ) )).

fof(dt_k8_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_pre_topc(B,A) )
     => ( v1_pre_topc(k8_tmap_1(A,B))
        & v2_pre_topc(k8_tmap_1(A,B))
        & l1_pre_topc(k8_tmap_1(A,B)) ) ) )).

fof(dt_k9_tmap_1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_pre_topc(B,A) )
     => ( v1_funct_1(k9_tmap_1(A,B))
        & v1_funct_2(k9_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B)))
        & m2_relset_1(k9_tmap_1(A,B),u1_struct_0(A),u1_struct_0(k8_tmap_1(A,B))) ) ) )).

fof(dt_k10_tmap_1,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & ~ v3_struct_0(C)
        & m1_pre_topc(C,A)
        & ~ v3_struct_0(D)
        & m1_pre_topc(D,A)
        & v1_funct_1(E)
        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B))
        & m1_relset_1(E,u1_struct_0(C),u1_struct_0(B))
        & v1_funct_1(F)
        & v1_funct_2(F,u1_struct_0(D),u1_struct_0(B))
        & m1_relset_1(F,u1_struct_0(D),u1_struct_0(B)) )
     => ( v1_funct_1(k10_tmap_1(A,B,C,D,E,F))
        & v1_funct_2(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B))
        & m2_relset_1(k10_tmap_1(A,B,C,D,E,F),u1_struct_0(k1_tsep_1(A,C,D)),u1_struct_0(B)) ) ) )).

fof(d7_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => k5_tmap_1(A,B) = a_2_0_tmap_1(A,B) ) ) )).

fof(t100_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => r1_tarski(a_2_1_tmap_1(A,B),k5_tmap_1(A,B)) ) ) )).

fof(t101_tmap_1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(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)))
                 => ( ( r2_hidden(C,u1_pre_topc(A))
                      & r2_hidden(D,a_2_1_tmap_1(A,B)) )
                   => ( r2_hidden(k4_subset_1(u1_struct_0(A),C,D),k5_tmap_1(A,B))
                      & r2_hidden(k5_subset_1(u1_struct_0(A),C,D),k5_tmap_1(A,B)) ) ) ) ) ) ) )).

fof(fraenkel_a_2_0_tmap_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_2_0_tmap_1(B,C))
      <=> ? [D,E] :
            ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
            & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B)))
            & A = k4_subset_1(u1_struct_0(B),D,k5_subset_1(u1_struct_0(B),E,C))
            & r2_hidden(D,u1_pre_topc(B))
            & r2_hidden(E,u1_pre_topc(B)) ) ) ) )).

fof(fraenkel_a_2_1_tmap_1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_2_1_tmap_1(B,C))
      <=> ? [D] :
            ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
            & A = k5_subset_1(u1_struct_0(B),D,C)
            & r2_hidden(D,u1_pre_topc(B)) ) ) ) )).
%------------------------------------------------------------------------------