SET007 Axioms: SET007+886.ax


%------------------------------------------------------------------------------
% File     : SET007+886 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Fashoda Meet Theorem for Rectangles
% 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    : jgraph_7 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  137 (   0 unit)
%            Number of atoms       : 3528 ( 607 equality)
%            Maximal formula depth :   46 (  32 average)
%            Number of connectives : 3775 ( 384 ~  ; 225  |;1916  &)
%                                         (   0 <=>;1250 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   17 (   0 propositional; 1-5 arity)
%            Number of functors    :   26 (   6 constant; 0-5 arity)
%            Number of variables   : 1184 (   0 singleton;1184 !;   0 ?)
%            Maximal term depth    :    6 (   2 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(t1_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ( ( k22_euclid(D) = C
                      & r1_xreal_0(A,k21_euclid(D))
                      & r1_xreal_0(k21_euclid(D),B) )
                   => ( r1_xreal_0(B,A)
                      | r2_hidden(D,k3_topreal1(np__2,k23_euclid(A,C),k23_euclid(B,C))) ) ) ) ) ) ) )).

fof(t2_jgraph_7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A))))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(A)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(A)))
                 => ~ ( r1_topreal1(k15_euclid(A),C,D,B)
                      & ! [E] :
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A)))
                            & m2_relset_1(E,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A))) )
                         => ~ ( v5_pre_topc(E,k5_topmetr,k15_euclid(A))
                              & v2_funct_1(E)
                              & k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(A)),E) = B
                              & k1_funct_1(E,np__0) = C
                              & k1_funct_1(E,np__1) = D ) ) ) ) ) ) ) )).

fof(t3_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ( ( k21_euclid(A) = k21_euclid(B)
                          & r1_xreal_0(D,k22_euclid(A))
                          & r1_xreal_0(k22_euclid(B),E) )
                       => ( r1_xreal_0(C,k21_euclid(A))
                          | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                          | r1_jordan6(k1_sppol_2(k21_euclid(A),C,D,E),A,B) ) ) ) ) ) ) ) )).

fof(t4_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ( ( r1_xreal_0(D,k22_euclid(A))
                      & r1_xreal_0(k22_euclid(A),k22_euclid(B))
                      & r1_xreal_0(k21_euclid(A),k21_euclid(B))
                      & r1_xreal_0(k21_euclid(B),C) )
                   => ( r1_xreal_0(C,k21_euclid(A))
                      | r1_xreal_0(k22_euclid(B),D)
                      | r1_jordan6(k1_sppol_2(k21_euclid(A),C,D,k22_euclid(B)),A,B) ) ) ) ) ) ) )).

fof(t5_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ( ( r1_xreal_0(C,k22_euclid(A))
                      & r1_xreal_0(k22_euclid(A),D)
                      & r1_xreal_0(C,k22_euclid(B))
                      & r1_xreal_0(k22_euclid(B),D) )
                   => ( r1_xreal_0(k21_euclid(B),k21_euclid(A))
                      | r1_xreal_0(D,C)
                      | r1_jordan6(k1_sppol_2(k21_euclid(A),k21_euclid(B),C,D),A,B) ) ) ) ) ) ) )).

fof(t6_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ( ( r1_xreal_0(k22_euclid(B),k22_euclid(A))
                      & r1_xreal_0(k22_euclid(A),D)
                      & r1_xreal_0(k21_euclid(B),C) )
                   => ( r1_xreal_0(D,k22_euclid(B))
                      | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                      | r1_jordan6(k1_sppol_2(k21_euclid(A),C,k22_euclid(B),D),A,B) ) ) ) ) ) ) )).

fof(t7_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ( ( k22_euclid(A) = F
                              & k22_euclid(B) = F
                              & r1_xreal_0(C,k21_euclid(A))
                              & r1_xreal_0(k21_euclid(B),D) )
                           => ( r1_xreal_0(D,C)
                              | r1_xreal_0(F,E)
                              | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                              | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).

fof(t8_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ( ( k22_euclid(A) = F
                              & k21_euclid(B) = D
                              & r1_xreal_0(C,k21_euclid(A))
                              & r1_xreal_0(k21_euclid(A),D)
                              & r1_xreal_0(E,k22_euclid(B))
                              & r1_xreal_0(k22_euclid(B),F) )
                           => ( r1_xreal_0(D,C)
                              | r1_xreal_0(F,E)
                              | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).

fof(t9_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ( ( k22_euclid(A) = F
                              & k22_euclid(B) = E
                              & r1_xreal_0(C,k21_euclid(A))
                              & r1_xreal_0(k21_euclid(A),D)
                              & r1_xreal_0(k21_euclid(B),D) )
                           => ( r1_xreal_0(D,C)
                              | r1_xreal_0(F,E)
                              | r1_xreal_0(k21_euclid(B),C)
                              | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).

fof(t10_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ( ( k21_euclid(A) = D
                              & k21_euclid(B) = D
                              & r1_xreal_0(E,k22_euclid(B))
                              & r1_xreal_0(k22_euclid(A),F) )
                           => ( r1_xreal_0(D,C)
                              | r1_xreal_0(F,E)
                              | r1_xreal_0(k22_euclid(A),k22_euclid(B))
                              | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).

fof(t11_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ( ( k21_euclid(A) = D
                              & k22_euclid(B) = E
                              & r1_xreal_0(E,k22_euclid(A))
                              & r1_xreal_0(k22_euclid(A),F)
                              & r1_xreal_0(k21_euclid(B),D) )
                           => ( r1_xreal_0(D,C)
                              | r1_xreal_0(F,E)
                              | r1_xreal_0(k21_euclid(B),C)
                              | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).

fof(t12_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ( ( k22_euclid(A) = E
                              & k22_euclid(B) = E
                              & r1_xreal_0(k21_euclid(A),D) )
                           => ( r1_xreal_0(D,C)
                              | r1_xreal_0(F,E)
                              | r1_xreal_0(k21_euclid(B),C)
                              | r1_xreal_0(k21_euclid(A),k21_euclid(B))
                              | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).

fof(t13_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ( ( k22_euclid(A) = F
                              & k21_euclid(B) = D
                              & r1_xreal_0(C,k21_euclid(A))
                              & r1_xreal_0(k21_euclid(A),D)
                              & r1_xreal_0(E,k22_euclid(B))
                              & r1_xreal_0(k22_euclid(B),F) )
                           => ( r1_xreal_0(D,C)
                              | r1_xreal_0(F,E)
                              | r1_jordan6(k1_sppol_2(C,D,E,F),A,B) ) ) ) ) ) ) ) ) )).

fof(t14_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k21_euclid(C) = E
                                      & k21_euclid(D) = E
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(D),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                      | r1_xreal_0(k22_euclid(D),k22_euclid(C))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t15_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k21_euclid(C) = E
                                      & k22_euclid(D) = H
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(C),H)
                                      & r1_xreal_0(E,k21_euclid(D))
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t16_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k21_euclid(C) = E
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(C),H)
                                      & r1_xreal_0(G,k22_euclid(D))
                                      & r1_xreal_0(k22_euclid(D),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t17_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k21_euclid(C) = E
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(C),H)
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t18_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k22_euclid(C) = H
                                      & k22_euclid(D) = H
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(E,k21_euclid(C))
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t19_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k22_euclid(C) = H
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(E,k21_euclid(C))
                                      & r1_xreal_0(k21_euclid(C),F)
                                      & r1_xreal_0(G,k22_euclid(D))
                                      & r1_xreal_0(k22_euclid(D),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t20_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k22_euclid(C) = H
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(E,k21_euclid(C))
                                      & r1_xreal_0(k21_euclid(C),F)
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t21_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k21_euclid(C) = F
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(G,k22_euclid(D))
                                      & r1_xreal_0(k22_euclid(C),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t22_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k21_euclid(C) = F
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(G,k22_euclid(C))
                                      & r1_xreal_0(k22_euclid(C),H)
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t23_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = E
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(k21_euclid(C),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t24_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = H
                                      & k22_euclid(D) = H
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(E,k21_euclid(B))
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                      | r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t25_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = H
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(E,k21_euclid(B))
                                      & r1_xreal_0(k21_euclid(C),F)
                                      & r1_xreal_0(G,k22_euclid(D))
                                      & r1_xreal_0(k22_euclid(D),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t26_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = H
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(E,k21_euclid(B))
                                      & r1_xreal_0(k21_euclid(C),F)
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t27_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k22_euclid(B) = H
                                      & k21_euclid(C) = F
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(E,k21_euclid(B))
                                      & r1_xreal_0(k21_euclid(B),F)
                                      & r1_xreal_0(G,k22_euclid(D))
                                      & r1_xreal_0(k22_euclid(C),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t28_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ( ( r1_xreal_0(k22_euclid(D),k22_euclid(A))
                      & r1_xreal_0(k22_euclid(A),k22_euclid(B))
                      & r1_xreal_0(k21_euclid(A),k21_euclid(B))
                      & r1_xreal_0(k21_euclid(B),k21_euclid(C))
                      & r1_xreal_0(k22_euclid(D),k22_euclid(C))
                      & r1_xreal_0(k22_euclid(C),k22_euclid(B))
                      & r1_xreal_0(k21_euclid(D),k21_euclid(C)) )
                   => ( k21_euclid(A) = k21_euclid(C)
                      | k22_euclid(D) = k22_euclid(B)
                      | r1_xreal_0(k21_euclid(D),k21_euclid(A))
                      | r1_jordan17(k1_sppol_2(k21_euclid(A),k21_euclid(C),k22_euclid(D),k22_euclid(B)),A,B,C,D) ) ) ) ) ) ) )).

fof(t29_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(E,k21_euclid(B))
                                      & r1_xreal_0(k21_euclid(B),F)
                                      & r1_xreal_0(k21_euclid(C),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t30_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = F
                                      & k21_euclid(C) = F
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(G,k22_euclid(D)) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t31_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = F
                                      & k21_euclid(C) = F
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(G,k22_euclid(C))
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t32_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k21_euclid(B) = F
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(G,k22_euclid(B))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(k21_euclid(C),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t33_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = E
                                      & k22_euclid(B) = G
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(k21_euclid(B),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t34_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = H
                                      & k22_euclid(D) = H
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                      | r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t35_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = H
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(C),F)
                                      & r1_xreal_0(G,k22_euclid(D))
                                      & r1_xreal_0(k22_euclid(D),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t36_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = H
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(C),F)
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t37_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k22_euclid(B) = H
                                      & k21_euclid(C) = F
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(B),F)
                                      & r1_xreal_0(G,k22_euclid(D))
                                      & r1_xreal_0(k22_euclid(C),H) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t38_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k22_euclid(B) = H
                                      & k21_euclid(C) = F
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(B),F)
                                      & r1_xreal_0(G,k22_euclid(C))
                                      & r1_xreal_0(k22_euclid(C),H)
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t39_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k22_euclid(B) = H
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(B),F)
                                      & r1_xreal_0(k21_euclid(C),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t40_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k21_euclid(B) = F
                                      & k21_euclid(C) = F
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(A),F)
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(G,k22_euclid(D)) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t41_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k21_euclid(B) = F
                                      & k21_euclid(C) = F
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(A),F)
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(G,k22_euclid(C))
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t42_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k21_euclid(B) = F
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(A),F)
                                      & r1_xreal_0(G,k22_euclid(B))
                                      & r1_xreal_0(k22_euclid(B),H)
                                      & r1_xreal_0(k21_euclid(C),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t43_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = H
                                      & k22_euclid(B) = G
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(E,k21_euclid(A))
                                      & r1_xreal_0(k21_euclid(A),F)
                                      & r1_xreal_0(k21_euclid(B),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t44_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = F
                                      & k21_euclid(B) = F
                                      & k21_euclid(C) = F
                                      & k21_euclid(D) = F
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(G,k22_euclid(D)) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                      | r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t45_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = F
                                      & k21_euclid(B) = F
                                      & k21_euclid(C) = F
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(G,k22_euclid(C))
                                      & r1_xreal_0(k21_euclid(D),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                      | r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t46_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = F
                                      & k21_euclid(B) = F
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(G,k22_euclid(B))
                                      & r1_xreal_0(k21_euclid(C),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t47_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k21_euclid(A) = F
                                      & k22_euclid(B) = G
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(G,k22_euclid(A))
                                      & r1_xreal_0(k22_euclid(A),H)
                                      & r1_xreal_0(k21_euclid(B),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t48_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ( ( k22_euclid(A) = G
                                      & k22_euclid(B) = G
                                      & k22_euclid(C) = G
                                      & k22_euclid(D) = G
                                      & r1_xreal_0(k21_euclid(A),F) )
                                   => ( r1_xreal_0(F,E)
                                      | r1_xreal_0(H,G)
                                      | r1_xreal_0(k21_euclid(A),k21_euclid(B))
                                      | r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                      | r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                      | r1_xreal_0(k21_euclid(D),E)
                                      | r1_jordan17(k1_sppol_2(E,F,G,H),A,B,C,D) ) ) ) ) ) ) ) ) ) ) )).

fof(t49_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                         => ( ( E = k2_jgraph_2(A,B,C,D)
                              & F = k2_jgraph_2(k7_xcmplx_0(np__1,A),k4_xcmplx_0(k7_xcmplx_0(B,A)),k7_xcmplx_0(np__1,C),k4_xcmplx_0(k7_xcmplx_0(D,C))) )
                           => ( r1_xreal_0(A,np__0)
                              | r1_xreal_0(C,np__0)
                              | ( F = k2_funct_1(E)
                                & E = k2_funct_1(F) ) ) ) ) ) ) ) ) ) )).

fof(t50_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ( E = k2_jgraph_2(A,B,C,D)
                       => ( r1_xreal_0(A,np__0)
                          | r1_xreal_0(C,np__0)
                          | ( v3_tops_2(E,k15_euclid(np__2),k15_euclid(np__2))
                            & ! [F] :
                                ( m1_subset_1(F,u1_struct_0(k15_euclid(np__2)))
                               => ! [G] :
                                    ( m1_subset_1(G,u1_struct_0(k15_euclid(np__2)))
                                   => ~ ( ~ r1_xreal_0(k21_euclid(G),k21_euclid(F))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),E,G)),k21_euclid(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),E,F))) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t51_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ( E = k2_jgraph_2(A,B,C,D)
                       => ( r1_xreal_0(A,np__0)
                          | r1_xreal_0(C,np__0)
                          | ( v3_tops_2(E,k15_euclid(np__2),k15_euclid(np__2))
                            & ! [F] :
                                ( m1_subset_1(F,u1_struct_0(k15_euclid(np__2)))
                               => ! [G] :
                                    ( m1_subset_1(G,u1_struct_0(k15_euclid(np__2)))
                                   => ~ ( ~ r1_xreal_0(k22_euclid(G),k22_euclid(F))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),E,G)),k22_euclid(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),E,F))) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t52_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F),k2_jgraph_6(A,B,C,D)) )
                           => ( r1_xreal_0(B,A)
                              | r1_xreal_0(D,C)
                              | r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E)),k2_jgraph_6(k1_real_1(np__1),np__1,k1_real_1(np__1),np__1)) ) ) ) ) ) ) ) ) )).

fof(t53_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                              & v5_pre_topc(F,k5_topmetr,k15_euclid(np__2))
                              & v2_funct_1(F) )
                           => ( r1_xreal_0(B,A)
                              | r1_xreal_0(D,C)
                              | ( v5_pre_topc(k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),k5_topmetr,k15_euclid(np__2))
                                & v2_funct_1(k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E)) ) ) ) ) ) ) ) ) ) )).

fof(t54_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                  & k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)) = A )
                               => ( r1_xreal_0(B,A)
                                  | r1_xreal_0(D,C)
                                  | k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)) = k1_real_1(np__1) ) ) ) ) ) ) ) ) ) )).

fof(t55_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                  & k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)) = D )
                               => ( r1_xreal_0(B,A)
                                  | r1_xreal_0(D,C)
                                  | k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)) = np__1 ) ) ) ) ) ) ) ) ) )).

fof(t56_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                  & k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)) = B )
                               => ( r1_xreal_0(B,A)
                                  | r1_xreal_0(D,C)
                                  | k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)) = np__1 ) ) ) ) ) ) ) ) ) )).

fof(t57_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                  & k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)) = C )
                               => ( r1_xreal_0(B,A)
                                  | r1_xreal_0(D,C)
                                  | k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)) = k1_real_1(np__1) ) ) ) ) ) ) ) ) ) )).

fof(t58_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),D) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      | ( r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & ~ r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t59_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),D)
                                      & r1_xreal_0(A,k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)))
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),B) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | ( r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1)
                                        & r1_xreal_0(k1_real_1(np__1),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t60_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),D)
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),D) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | ( r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1)
                                        & r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t61_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),D)
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),B) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),A)
                                      | ( r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1)
                                        & ~ r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),k1_real_1(np__1))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t62_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(A,k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),B) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      | ( r1_xreal_0(k1_real_1(np__1),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & ~ r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t63_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(A,k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),B)
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),D) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | ( r1_xreal_0(k1_real_1(np__1),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1)
                                        & r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t64_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(A,k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),B)
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),B) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),A)
                                      | ( r1_xreal_0(k1_real_1(np__1),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1)
                                        & ~ r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),k1_real_1(np__1))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t65_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),D)
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H))) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)))
                                      | ( r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1)
                                        & ~ r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)))
                                        & r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H))) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t66_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(C,k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)))
                                      & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),D)
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),B) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),A)
                                      | ( r1_xreal_0(k1_real_1(np__1),k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)))
                                        & r1_xreal_0(k22_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1)
                                        & ~ r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),k1_real_1(np__1))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t67_jgraph_7,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( v1_xreal_0(B)
         => ! [C] :
              ( v1_xreal_0(C)
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                        & m2_relset_1(E,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
                     => ! [F] :
                          ( ( v1_funct_1(F)
                            & v1_funct_2(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                            & m2_relset_1(F,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                         => ! [G] :
                              ( m1_subset_1(G,u1_struct_0(k5_topmetr))
                             => ! [H] :
                                  ( m1_subset_1(H,u1_struct_0(k5_topmetr))
                                 => ( ( E = k2_jgraph_2(k7_xcmplx_0(np__2,k6_xcmplx_0(B,A)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(B,A),k6_xcmplx_0(B,A))),k7_xcmplx_0(np__2,k6_xcmplx_0(D,C)),k4_xcmplx_0(k7_xcmplx_0(k2_xcmplx_0(D,C),k6_xcmplx_0(D,C))))
                                      & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),B) )
                                   => ( r1_xreal_0(B,A)
                                      | r1_xreal_0(D,C)
                                      | r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)),A)
                                      | r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,G)),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),F,H)))
                                      | ( ~ r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)),k1_real_1(np__1))
                                        & ~ r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),H)))
                                        & r1_xreal_0(k21_euclid(k8_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),k7_funct_2(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),F,E),G)),np__1) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t68_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k21_euclid(D) = E
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & ~ r1_xreal_0(k22_euclid(D),k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t69_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k21_euclid(D) = E
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & ~ r1_xreal_0(k22_euclid(D),k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t70_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & r1_xreal_0(E,k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t71_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & r1_xreal_0(E,k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t72_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t73_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t74_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t75_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = E
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t76_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(E,k21_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t77_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(E,k21_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t78_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = H
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(E,k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t79_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = H
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(E,k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t80_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(E,k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t81_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(E,k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t82_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t83_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t84_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t85_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t86_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t87_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = E
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t88_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t89_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t90_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t91_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t92_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t93_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t94_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t95_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t96_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t97_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t98_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t99_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(E,k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t100_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t101_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t102_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t103_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t104_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = F
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(G,k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t105_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k21_euclid(B) = F
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(G,k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t106_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t107_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = E
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t108_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t109_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = H
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(D),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t110_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t111_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(D),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t112_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t113_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = H
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t114_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t115_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t116_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t117_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & r1_xreal_0(k22_euclid(C),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t118_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t119_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = H
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t120_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t121_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t122_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t123_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t124_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k21_euclid(B) = F
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & r1_xreal_0(G,k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t125_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k21_euclid(B) = F
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & r1_xreal_0(G,k22_euclid(B))
                                              & r1_xreal_0(k22_euclid(B),H)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t126_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t127_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = H
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(E,k21_euclid(A))
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t128_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t129_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k21_euclid(D) = F
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & ~ r1_xreal_0(k22_euclid(C),k22_euclid(D))
                                              & r1_xreal_0(G,k22_euclid(D))
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t130_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t131_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k21_euclid(B) = F
                                              & k21_euclid(C) = F
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                              & ~ r1_xreal_0(k22_euclid(B),k22_euclid(C))
                                              & r1_xreal_0(G,k22_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_xreal_0(k21_euclid(D),F)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t132_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k21_euclid(B) = F
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                              & r1_xreal_0(G,k22_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t133_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k21_euclid(B) = F
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & ~ r1_xreal_0(k22_euclid(A),k22_euclid(B))
                                              & r1_xreal_0(G,k22_euclid(B))
                                              & r1_xreal_0(k21_euclid(C),F)
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t134_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t135_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k21_euclid(A) = F
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(G,k22_euclid(A))
                                              & r1_xreal_0(k22_euclid(A),H)
                                              & r1_xreal_0(k21_euclid(B),F)
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t136_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( ( v1_funct_1(I)
                                        & v1_funct_2(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                        & m2_relset_1(I,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                     => ! [J] :
                                          ( ( v1_funct_1(J)
                                            & v1_funct_2(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)))
                                            & m2_relset_1(J,u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2))) )
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = G
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & ~ r1_xreal_0(k21_euclid(A),k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & k1_funct_1(I,np__0) = A
                                              & k1_funct_1(I,np__1) = C
                                              & k1_funct_1(J,np__0) = B
                                              & k1_funct_1(J,np__1) = D
                                              & v5_pre_topc(I,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(I)
                                              & v5_pre_topc(J,k5_topmetr,k15_euclid(np__2))
                                              & v2_funct_1(J)
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J),k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),I),k1_pscomp_1(u1_struct_0(k5_topmetr),u1_struct_0(k15_euclid(np__2)),J)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t137_jgraph_7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ! [F] :
                          ( v1_xreal_0(F)
                         => ! [G] :
                              ( v1_xreal_0(G)
                             => ! [H] :
                                  ( v1_xreal_0(H)
                                 => ! [I] :
                                      ( m1_subset_1(I,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                     => ! [J] :
                                          ( m1_subset_1(J,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                                         => ~ ( ~ r1_xreal_0(F,E)
                                              & ~ r1_xreal_0(H,G)
                                              & k22_euclid(A) = G
                                              & k22_euclid(B) = G
                                              & k22_euclid(C) = G
                                              & k22_euclid(D) = G
                                              & r1_xreal_0(k21_euclid(A),F)
                                              & ~ r1_xreal_0(k21_euclid(A),k21_euclid(B))
                                              & ~ r1_xreal_0(k21_euclid(B),k21_euclid(C))
                                              & ~ r1_xreal_0(k21_euclid(C),k21_euclid(D))
                                              & ~ r1_xreal_0(k21_euclid(D),E)
                                              & r1_topreal1(k15_euclid(np__2),A,C,I)
                                              & r1_topreal1(k15_euclid(np__2),B,D,J)
                                              & r1_tarski(I,k2_jgraph_6(E,F,G,H))
                                              & r1_tarski(J,k2_jgraph_6(E,F,G,H))
                                              & r1_xboole_0(I,J) ) ) ) ) ) ) ) ) ) ) ) )).
%------------------------------------------------------------------------------