SET007 Axioms: SET007+713.ax


%------------------------------------------------------------------------------
% File     : SET007+713 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Fan Homeomorphisms in the Plane
% 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_4 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  192 (   4 unit)
%            Number of atoms       : 1766 ( 327 equality)
%            Maximal formula depth :   28 (  11 average)
%            Number of connectives : 1928 ( 354 ~  ; 160  |; 733  &)
%                                         (  28 <=>; 653 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   23 (   1 propositional; 0-3 arity)
%            Number of functors    :   78 (  12 constant; 0-4 arity)
%            Number of variables   :  596 (   0 singleton; 547 !;  49 ?)
%            Maximal term depth    :   11 (   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_4,axiom,(
    $true )).

fof(t2_jgraph_4,axiom,(
    $true )).

fof(t3_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ ( ~ r1_xreal_0(k2_xcmplx_0(np__1,A),np__0)
              & ~ r1_xreal_0(k6_xcmplx_0(np__1,A),np__0) ) ) ) )).

fof(t4_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ( r1_xreal_0(k5_square_1(A),np__1)
       => ( r1_xreal_0(k1_real_1(np__1),A)
          & r1_xreal_0(A,np__1) ) ) ) )).

fof(t5_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ( ~ r1_xreal_0(np__1,k5_square_1(A))
       => ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A) ) ) ) )).

fof(t8_jgraph_4,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
        & m2_relset_1(A,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
     => ( ( v5_pre_topc(A,k15_euclid(np__2),k15_euclid(np__2))
          & v2_funct_1(A)
          & k1_pscomp_1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),A) = k2_pre_topc(k15_euclid(np__2))
          & ! [B] :
              ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
             => ? [C] :
                  ( ~ v1_xboole_0(C)
                  & v6_compts_1(C,k15_euclid(np__2))
                  & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                  & C = k4_pre_topc(k15_euclid(np__2),k15_euclid(np__2),A,C)
                  & ? [D] :
                      ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                      & r2_hidden(B,D)
                      & v3_pre_topc(D,k15_euclid(np__2))
                      & r1_tarski(D,C)
                      & r2_hidden(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),A,B),D) ) ) ) )
       => v3_tops_2(A,k15_euclid(np__2),k15_euclid(np__2)) ) ) )).

fof(t9_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ~ ( v5_pre_topc(B,A,k3_topmetr)
                          & v5_pre_topc(C,A,k3_topmetr)
                          & E != np__0
                          & ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,F) != np__0 )
                          & ! [F] :
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k3_topmetr))
                                & m2_relset_1(F,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
                             => ~ ( ! [G] :
                                      ( m1_subset_1(G,u1_struct_0(A))
                                     => ! [H] :
                                          ( v1_xreal_0(H)
                                         => ! [I] :
                                              ( v1_xreal_0(I)
                                             => ( ( k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,G) = H
                                                  & k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,G) = I )
                                               => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),F,G) = k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H,I),D),E) ) ) ) )
                                  & v5_pre_topc(F,A,k3_topmetr) ) ) ) ) ) ) ) ) )).

fof(t10_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,k1_numbers)
                     => ~ ( v5_pre_topc(B,A,k3_topmetr)
                          & v5_pre_topc(C,A,k3_topmetr)
                          & E != np__0
                          & ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,F) != np__0 )
                          & ! [F] :
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k3_topmetr))
                                & m2_relset_1(F,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
                             => ~ ( ! [G] :
                                      ( m1_subset_1(G,u1_struct_0(A))
                                     => ! [H] :
                                          ( m1_subset_1(H,k1_numbers)
                                         => ! [I] :
                                              ( m1_subset_1(I,k1_numbers)
                                             => ( ( k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,G) = H
                                                  & k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,G) = I )
                                               => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),F,G) = k4_real_1(I,k6_real_1(k5_real_1(k6_real_1(H,I),D),E)) ) ) ) )
                                  & v5_pre_topc(F,A,k3_topmetr) ) ) ) ) ) ) ) ) )).

fof(t11_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ~ ( v5_pre_topc(B,A,k3_topmetr)
              & ! [C] :
                  ( ( v1_funct_1(C)
                    & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr))
                    & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
                 => ~ ( ! [D] :
                          ( m1_subset_1(D,u1_struct_0(A))
                         => ! [E] :
                              ( v1_xreal_0(E)
                             => ( k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D) = E
                               => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,D) = k5_square_1(E) ) ) )
                      & v5_pre_topc(C,A,k3_topmetr) ) ) ) ) ) )).

fof(t12_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ~ ( v5_pre_topc(B,A,k3_topmetr)
              & ! [C] :
                  ( ( v1_funct_1(C)
                    & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr))
                    & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
                 => ~ ( ! [D] :
                          ( m1_subset_1(D,u1_struct_0(A))
                         => ! [E] :
                              ( v1_xreal_0(E)
                             => ( k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D) = E
                               => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,D) = k18_complex1(E) ) ) )
                      & v5_pre_topc(C,A,k3_topmetr) ) ) ) ) ) )).

fof(t13_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ~ ( v5_pre_topc(B,A,k3_topmetr)
              & ! [C] :
                  ( ( v1_funct_1(C)
                    & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr))
                    & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
                 => ~ ( ! [D] :
                          ( m1_subset_1(D,u1_struct_0(A))
                         => ! [E] :
                              ( v1_xreal_0(E)
                             => ( k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,D) = E
                               => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,D) = k4_xcmplx_0(E) ) ) )
                      & v5_pre_topc(C,A,k3_topmetr) ) ) ) ) ) )).

fof(t14_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ~ ( v5_pre_topc(B,A,k3_topmetr)
                          & v5_pre_topc(C,A,k3_topmetr)
                          & E != np__0
                          & ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,F) != np__0 )
                          & ! [F] :
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k3_topmetr))
                                & m2_relset_1(F,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
                             => ~ ( ! [G] :
                                      ( m1_subset_1(G,u1_struct_0(A))
                                     => ! [H] :
                                          ( v1_xreal_0(H)
                                         => ! [I] :
                                              ( v1_xreal_0(I)
                                             => ( ( k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,G) = H
                                                  & k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,G) = I )
                                               => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),F,G) = k3_xcmplx_0(I,k1_real_1(k9_square_1(k18_complex1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H,I),D),E))))))) ) ) ) )
                                  & v5_pre_topc(F,A,k3_topmetr) ) ) ) ) ) ) ) ) )).

fof(t15_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ! [E] :
                      ( v1_xreal_0(E)
                     => ~ ( v5_pre_topc(B,A,k3_topmetr)
                          & v5_pre_topc(C,A,k3_topmetr)
                          & E != np__0
                          & ! [F] :
                              ( m1_subset_1(F,u1_struct_0(A))
                             => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,F) != np__0 )
                          & ! [F] :
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,u1_struct_0(A),u1_struct_0(k3_topmetr))
                                & m2_relset_1(F,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
                             => ~ ( ! [G] :
                                      ( m1_subset_1(G,u1_struct_0(A))
                                     => ! [H] :
                                          ( v1_xreal_0(H)
                                         => ! [I] :
                                              ( v1_xreal_0(I)
                                             => ( ( k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),B,G) = H
                                                  & k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),C,G) = I )
                                               => k8_funct_2(u1_struct_0(A),u1_struct_0(k3_topmetr),F,G) = k3_xcmplx_0(I,k9_square_1(k18_complex1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k7_xcmplx_0(H,I),D),E)))))) ) ) ) )
                                  & v5_pre_topc(F,A,k3_topmetr) ) ) ) ) ) ) ) ) )).

fof(d1_jgraph_4,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) )
         => ( B = k1_jgraph_4(A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(A)))
               => k8_funct_2(u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr),B,C) = k5_toprns_1(A,C) ) ) ) ) )).

fof(t16_jgraph_4,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ( k1_relat_1(k1_jgraph_4(A)) = u1_struct_0(k15_euclid(A))
        & k1_relat_1(k1_jgraph_4(A)) = k1_euclid(A) ) ) )).

fof(t17_jgraph_4,axiom,(
    $true )).

fof(t18_jgraph_4,axiom,(
    $true )).

fof(t19_jgraph_4,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) )
         => ( B = k1_jgraph_4(A)
           => v5_pre_topc(B,k15_euclid(A),k3_topmetr) ) ) ) )).

fof(t20_jgraph_4,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] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(A),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(A),B)),u1_struct_0(k3_topmetr)) )
             => ( ! [D] :
                    ( m1_subset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(A),B)))
                   => k1_funct_1(C,D) = k1_funct_1(k1_jgraph_4(A),D) )
               => v5_pre_topc(C,k3_pre_topc(k15_euclid(A),B),k3_topmetr) ) ) ) ) )).

fof(t21_jgraph_4,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k14_euclid(A)))
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(A))))
                 => ( D = k10_metric_1(k14_euclid(A),B,C)
                   => ( v1_jordan2c(D,A)
                      & v4_pre_topc(D,k15_euclid(A)) ) ) ) ) ) ) )).

fof(t22_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k14_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ( C = k10_metric_1(k14_euclid(np__2),A,B)
               => v6_compts_1(C,k15_euclid(np__2)) ) ) ) ) )).

fof(d2_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
             => ( r1_xreal_0(np__0,k21_euclid(B))
                | k2_jgraph_4(A,B) = k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k4_xcmplx_0(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A)))))),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A)))) ) )
            & ~ ( ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                & ~ r1_xreal_0(np__0,k21_euclid(B))
                & k2_jgraph_4(A,B) != k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k4_xcmplx_0(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A)))))),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A)))) )
            & ~ ( ~ ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(np__0,k21_euclid(B)) )
                & ~ ( ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(np__0,k21_euclid(B)) )
                & k2_jgraph_4(A,B) != B ) ) ) ) )).

fof(d3_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
            & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
         => ( B = k3_jgraph_4(A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),B,C) = k2_jgraph_4(A,C) ) ) ) ) )).

fof(t23_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(B,k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)))
             => ( r1_xreal_0(np__0,k21_euclid(A))
                | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(B),A) = k23_euclid(k3_xcmplx_0(k5_toprns_1(np__2,A),k4_xcmplx_0(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B))))))),k3_xcmplx_0(k5_toprns_1(np__2,A),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B)))) ) )
            & ( r1_xreal_0(np__0,k21_euclid(A))
             => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(B),A) = A ) ) ) ) )).

fof(t24_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ( r1_xreal_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B)
           => ( r1_xreal_0(np__0,k21_euclid(A))
              | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))))))),k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))) ) ) ) ) )).

fof(t25_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ~ ( ~ r1_xreal_0(B,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,B)
              & ~ ( ( ( r1_xreal_0(B,k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)))
                      & r1_xreal_0(k21_euclid(A),np__0) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B))))))),k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B)))) ) )
                  & ( ( r1_xreal_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B)
                      & r1_xreal_0(k21_euclid(A),np__0) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))))))),k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))) ) ) ) ) ) ) )).

fof(t26_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k21_euclid(D),np__0)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t27_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k21_euclid(D),np__0)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t28_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A))))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k21_euclid(D),np__0)
                          & r1_xreal_0(A,k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t29_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A))))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k21_euclid(D),np__0)
                          & r1_xreal_0(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t40_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => k5_toprns_1(np__2,k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)) = k5_toprns_1(np__2,B) ) ) )).

fof(t43_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & k3_subset_1(u1_struct_0(k15_euclid(np__2)),B) = k1_struct_0(k15_euclid(np__2),k16_euclid(np__2))
              & ! [C] :
                  ( ( v1_funct_1(C)
                    & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ~ ( C = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                      & v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) )).

fof(t44_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k3_jgraph_4(A)
                  & v5_pre_topc(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t45_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ v2_funct_1(k3_jgraph_4(A)) ) ) )).

fof(t46_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ ( v1_funct_1(k3_jgraph_4(A))
              & v1_funct_2(k3_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & m2_relset_1(k3_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & k1_pscomp_1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A)) = u1_struct_0(k15_euclid(np__2)) ) ) ) )).

fof(t47_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ! [C] :
                  ( ( ~ v1_xboole_0(C)
                    & v6_compts_1(C,k15_euclid(np__2))
                    & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
                 => ~ ( C = k4_pre_topc(k15_euclid(np__2),k15_euclid(np__2),k3_jgraph_4(A),C)
                      & ? [D] :
                          ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                          & r2_hidden(B,D)
                          & v3_pre_topc(D,k15_euclid(np__2))
                          & r1_tarski(D,C)
                          & r2_hidden(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B),D) ) ) ) ) ) ) )).

fof(t48_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k3_jgraph_4(A)
                  & v3_tops_2(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t49_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(np__0,k21_euclid(B))
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(np__0,k21_euclid(C))
                      & r1_xreal_0(np__0,k22_euclid(C)) ) ) ) ) ) ) ) )).

fof(t50_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ~ r1_xreal_0(np__0,k21_euclid(B))
              & ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
              & ? [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                  & C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                  & ~ ( ~ r1_xreal_0(np__0,k21_euclid(C))
                      & ~ r1_xreal_0(np__0,k22_euclid(C)) ) ) ) ) ) )).

fof(t51_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & r1_xreal_0(A,k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C))) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | r1_xreal_0(np__0,k21_euclid(B))
                  | r1_xreal_0(np__0,k21_euclid(C))
                  | r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  | ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                         => ~ ( D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                              & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),C)
                              & r1_xreal_0(k6_real_1(k22_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) ) ) )).

fof(t52_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(np__0,k21_euclid(B))
                  & ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & ~ r1_xreal_0(np__0,k21_euclid(C))
                  & ~ r1_xreal_0(A,k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)))
                  & ~ r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k22_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t53_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(np__0,k21_euclid(B))
                  & ~ r1_xreal_0(np__0,k21_euclid(C))
                  & ~ r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k22_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t54_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)) = A
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(np__0,k21_euclid(B))
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(np__0,k21_euclid(C))
                      & k22_euclid(C) = np__0 ) ) ) ) ) ) ) )).

fof(t55_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => k16_euclid(np__2) = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),k16_euclid(np__2)) ) )).

fof(d4_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
             => ( r1_xreal_0(k22_euclid(B),np__0)
                | k4_jgraph_4(A,B) = k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A)),k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A))))))) ) )
            & ~ ( ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                & ~ r1_xreal_0(k22_euclid(B),np__0)
                & k4_jgraph_4(A,B) != k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A)),k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A))))))) )
            & ~ ( ~ ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(k22_euclid(B),np__0) )
                & ~ ( ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(k22_euclid(B),np__0) )
                & k4_jgraph_4(A,B) != B ) ) ) ) )).

fof(d5_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
            & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
         => ( B = k5_jgraph_4(A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),B,C) = k4_jgraph_4(A,C) ) ) ) ) )).

fof(t56_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(B,k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)))
             => ( r1_xreal_0(k22_euclid(A),np__0)
                | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(B),A) = k23_euclid(k3_xcmplx_0(k5_toprns_1(np__2,A),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B))),k3_xcmplx_0(k5_toprns_1(np__2,A),k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B))))))) ) )
            & ( r1_xreal_0(k22_euclid(A),np__0)
             => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(B),A) = A ) ) ) ) )).

fof(t57_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ( r1_xreal_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B)
           => ( r1_xreal_0(k22_euclid(A),np__0)
              | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))),k4_real_1(k5_toprns_1(np__2,A),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))))))) ) ) ) ) )).

fof(t58_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ~ ( ~ r1_xreal_0(B,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,B)
              & ~ ( ( ( r1_xreal_0(B,k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)))
                      & r1_xreal_0(np__0,k22_euclid(A)) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B))),k4_real_1(k5_toprns_1(np__2,A),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B))))))) ) )
                  & ( ( r1_xreal_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B)
                      & r1_xreal_0(np__0,k22_euclid(A)) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))),k4_real_1(k5_toprns_1(np__2,A),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))))))) ) ) ) ) ) ) )).

fof(t59_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k22_euclid(D))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t60_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k22_euclid(D))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t61_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A)))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k22_euclid(D))
                          & r1_xreal_0(A,k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t62_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A)))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k22_euclid(D))
                          & r1_xreal_0(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t73_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => k5_toprns_1(np__2,k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)) = k5_toprns_1(np__2,B) ) ) )).

fof(t76_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & k3_subset_1(u1_struct_0(k15_euclid(np__2)),B) = k1_struct_0(k15_euclid(np__2),k16_euclid(np__2))
              & ! [C] :
                  ( ( v1_funct_1(C)
                    & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ~ ( C = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                      & v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) )).

fof(t77_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k5_jgraph_4(A)
                  & v5_pre_topc(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t78_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ v2_funct_1(k5_jgraph_4(A)) ) ) )).

fof(t79_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ ( v1_funct_1(k5_jgraph_4(A))
              & v1_funct_2(k5_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & m2_relset_1(k5_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & k1_pscomp_1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A)) = u1_struct_0(k15_euclid(np__2)) ) ) ) )).

fof(t80_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ! [C] :
                  ( ( ~ v1_xboole_0(C)
                    & v6_compts_1(C,k15_euclid(np__2))
                    & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
                 => ~ ( C = k4_pre_topc(k15_euclid(np__2),k15_euclid(np__2),k5_jgraph_4(A),C)
                      & ? [D] :
                          ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                          & r2_hidden(B,D)
                          & v3_pre_topc(D,k15_euclid(np__2))
                          & r1_tarski(D,C)
                          & r2_hidden(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B),D) ) ) ) ) ) ) )).

fof(t81_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k5_jgraph_4(A)
                  & v3_tops_2(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t82_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(k22_euclid(B),np__0)
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(k22_euclid(C),np__0)
                      & r1_xreal_0(np__0,k21_euclid(C)) ) ) ) ) ) ) ) )).

fof(t83_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ~ r1_xreal_0(k22_euclid(B),np__0)
              & ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
              & ? [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                  & C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                  & ~ ( ~ r1_xreal_0(k22_euclid(C),np__0)
                      & ~ r1_xreal_0(np__0,k21_euclid(C)) ) ) ) ) ) )).

fof(t84_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & r1_xreal_0(A,k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C))) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | r1_xreal_0(k22_euclid(B),np__0)
                  | r1_xreal_0(k22_euclid(C),np__0)
                  | r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  | ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                         => ~ ( D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                              & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),C)
                              & r1_xreal_0(k6_real_1(k21_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) ) ) )).

fof(t85_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k22_euclid(B),np__0)
                  & ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & ~ r1_xreal_0(k22_euclid(C),np__0)
                  & ~ r1_xreal_0(A,k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)))
                  & ~ r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k21_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t86_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k22_euclid(B),np__0)
                  & ~ r1_xreal_0(k22_euclid(C),np__0)
                  & ~ r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k21_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t87_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)) = A
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(k22_euclid(B),np__0)
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(k22_euclid(C),np__0)
                      & k21_euclid(C) = np__0 ) ) ) ) ) ) ) )).

fof(t88_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => k16_euclid(np__2) = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),k16_euclid(np__2)) ) )).

fof(d6_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
             => ( r1_xreal_0(k21_euclid(B),np__0)
                | k6_jgraph_4(A,B) = k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A))))),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A)))) ) )
            & ~ ( ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                & ~ r1_xreal_0(k21_euclid(B),np__0)
                & k6_jgraph_4(A,B) != k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A))))),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A)))) )
            & ~ ( ~ ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(k21_euclid(B),np__0) )
                & ~ ( ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(k21_euclid(B),np__0) )
                & k6_jgraph_4(A,B) != B ) ) ) ) )).

fof(d7_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
            & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
         => ( B = k7_jgraph_4(A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),B,C) = k6_jgraph_4(A,C) ) ) ) ) )).

fof(t89_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(B,k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)))
             => ( r1_xreal_0(k21_euclid(A),np__0)
                | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(B),A) = k23_euclid(k3_xcmplx_0(k5_toprns_1(np__2,A),k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B)))))),k3_xcmplx_0(k5_toprns_1(np__2,A),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B)))) ) )
            & ( r1_xreal_0(k21_euclid(A),np__0)
             => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(B),A) = A ) ) ) ) )).

fof(t90_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ( r1_xreal_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B)
           => ( r1_xreal_0(k21_euclid(A),np__0)
              | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))))),k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))) ) ) ) ) )).

fof(t91_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ~ ( ~ r1_xreal_0(B,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,B)
              & ~ ( ( ( r1_xreal_0(B,k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)))
                      & r1_xreal_0(np__0,k21_euclid(A)) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B)))))),k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B)))) ) )
                  & ( ( r1_xreal_0(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B)
                      & r1_xreal_0(np__0,k21_euclid(A)) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))))),k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k22_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))) ) ) ) ) ) ) )).

fof(t92_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k21_euclid(D))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t93_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k21_euclid(D))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t94_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A)))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k21_euclid(D))
                          & r1_xreal_0(A,k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t95_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A)))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(np__0,k21_euclid(D))
                          & r1_xreal_0(k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D)),A)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t104_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => k5_toprns_1(np__2,k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)) = k5_toprns_1(np__2,B) ) ) )).

fof(t107_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & k3_subset_1(u1_struct_0(k15_euclid(np__2)),B) = k1_struct_0(k15_euclid(np__2),k16_euclid(np__2))
              & ! [C] :
                  ( ( v1_funct_1(C)
                    & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ~ ( C = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                      & v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) )).

fof(t108_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k7_jgraph_4(A)
                  & v5_pre_topc(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t109_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ v2_funct_1(k7_jgraph_4(A)) ) ) )).

fof(t110_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ ( v1_funct_1(k7_jgraph_4(A))
              & v1_funct_2(k7_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & m2_relset_1(k7_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & k1_pscomp_1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A)) = u1_struct_0(k15_euclid(np__2)) ) ) ) )).

fof(t111_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ! [C] :
                  ( ( ~ v1_xboole_0(C)
                    & v6_compts_1(C,k15_euclid(np__2))
                    & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
                 => ~ ( C = k4_pre_topc(k15_euclid(np__2),k15_euclid(np__2),k7_jgraph_4(A),C)
                      & ? [D] :
                          ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                          & r2_hidden(B,D)
                          & v3_pre_topc(D,k15_euclid(np__2))
                          & r1_tarski(D,C)
                          & r2_hidden(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B),D) ) ) ) ) ) ) )).

fof(t112_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k7_jgraph_4(A)
                  & v3_tops_2(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t113_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(k21_euclid(B),np__0)
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(k21_euclid(C),np__0)
                      & r1_xreal_0(np__0,k22_euclid(C)) ) ) ) ) ) ) ) )).

fof(t114_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ~ r1_xreal_0(k21_euclid(B),np__0)
              & ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
              & ? [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                  & C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                  & ~ ( ~ r1_xreal_0(k21_euclid(C),np__0)
                      & ~ r1_xreal_0(np__0,k22_euclid(C)) ) ) ) ) ) )).

fof(t115_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & r1_xreal_0(A,k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C))) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | r1_xreal_0(k21_euclid(B),np__0)
                  | r1_xreal_0(k21_euclid(C),np__0)
                  | r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  | ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                         => ~ ( D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                              & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),C)
                              & r1_xreal_0(k6_real_1(k22_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) ) ) )).

fof(t116_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k21_euclid(B),np__0)
                  & ~ r1_xreal_0(A,k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & ~ r1_xreal_0(k21_euclid(C),np__0)
                  & ~ r1_xreal_0(A,k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)))
                  & ~ r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k22_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t117_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k21_euclid(B),np__0)
                  & ~ r1_xreal_0(k21_euclid(C),np__0)
                  & ~ r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k22_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k22_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t118_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( k6_real_1(k22_euclid(B),k5_toprns_1(np__2,B)) = A
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(k21_euclid(B),np__0)
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(k21_euclid(C),np__0)
                      & k22_euclid(C) = np__0 ) ) ) ) ) ) ) )).

fof(t119_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => k16_euclid(np__2) = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),k16_euclid(np__2)) ) )).

fof(d8_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
             => ( r1_xreal_0(np__0,k22_euclid(B))
                | k8_jgraph_4(A,B) = k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A)),k4_xcmplx_0(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k6_xcmplx_0(np__1,A)))))))) ) )
            & ~ ( ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                & ~ r1_xreal_0(np__0,k22_euclid(B))
                & k8_jgraph_4(A,B) != k18_euclid(k5_toprns_1(np__2,B),np__2,k23_euclid(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A)),k4_xcmplx_0(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)),A),k2_xcmplx_0(np__1,A)))))))) )
            & ~ ( ~ ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(np__0,k22_euclid(B)) )
                & ~ ( ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                    & ~ r1_xreal_0(np__0,k22_euclid(B)) )
                & k8_jgraph_4(A,B) != B ) ) ) ) )).

fof(d9_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
            & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
         => ( B = k9_jgraph_4(A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),B,C) = k8_jgraph_4(A,C) ) ) ) ) )).

fof(t120_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(B,k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)))
             => ( r1_xreal_0(np__0,k22_euclid(A))
                | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(B),A) = k23_euclid(k3_xcmplx_0(k5_toprns_1(np__2,A),k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B))),k3_xcmplx_0(k5_toprns_1(np__2,A),k4_xcmplx_0(k8_square_1(k6_xcmplx_0(np__1,k5_square_1(k7_xcmplx_0(k6_xcmplx_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k6_xcmplx_0(np__1,B)))))))) ) )
            & ( r1_xreal_0(np__0,k22_euclid(A))
             => k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(B),A) = A ) ) ) ) )).

fof(t121_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ( r1_xreal_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B)
           => ( r1_xreal_0(np__0,k22_euclid(A))
              | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))),k4_real_1(k5_toprns_1(np__2,A),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))))))) ) ) ) ) )).

fof(t122_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ~ ( ~ r1_xreal_0(B,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,B)
              & ~ ( ( ( r1_xreal_0(B,k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)))
                      & r1_xreal_0(k22_euclid(A),np__0) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B))),k4_real_1(k5_toprns_1(np__2,A),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k5_real_1(np__1,B)))))))) ) )
                  & ( ( r1_xreal_0(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B)
                      & r1_xreal_0(k22_euclid(A),np__0) )
                   => ( A = k16_euclid(np__2)
                      | k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(B),A) = k23_euclid(k4_real_1(k5_toprns_1(np__2,A),k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B))),k4_real_1(k5_toprns_1(np__2,A),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(A),k5_toprns_1(np__2,A)),B),k3_real_1(np__1,B)))))))) ) ) ) ) ) ) )).

fof(t123_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k22_euclid(D),np__0)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t124_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k22_euclid(D),np__0)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t125_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k5_real_1(np__1,A))))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k22_euclid(D),np__0)
                          & r1_xreal_0(A,k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)))
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t126_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr))
                & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_topmetr)) )
             => ( ( ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => k1_funct_1(C,D) = k4_real_1(k5_toprns_1(np__2,D),k1_real_1(k9_square_1(k5_real_1(np__1,k7_square_1(k6_real_1(k5_real_1(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A),k3_real_1(np__1,A))))))) ) )
                  & ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ( r2_hidden(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                       => ( r1_xreal_0(k22_euclid(D),np__0)
                          & r1_xreal_0(k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D)),A)
                          & D != k16_euclid(np__2) ) ) ) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_topmetr) ) ) ) ) ) )).

fof(t135_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => k5_toprns_1(np__2,k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)) = k5_toprns_1(np__2,B) ) ) )).

fof(t138_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & k3_subset_1(u1_struct_0(k15_euclid(np__2)),B) = k1_struct_0(k15_euclid(np__2),k16_euclid(np__2))
              & ! [C] :
                  ( ( v1_funct_1(C)
                    & v1_funct_2(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(C,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ~ ( C = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                      & v5_pre_topc(C,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) )).

fof(t139_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k9_jgraph_4(A)
                  & v5_pre_topc(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t140_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ v2_funct_1(k9_jgraph_4(A)) ) ) )).

fof(t141_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ~ ( v1_funct_1(k9_jgraph_4(A))
              & v1_funct_2(k9_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & m2_relset_1(k9_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
              & k1_pscomp_1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A)) = u1_struct_0(k15_euclid(np__2)) ) ) ) )).

fof(t142_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ! [C] :
                  ( ( ~ v1_xboole_0(C)
                    & v6_compts_1(C,k15_euclid(np__2))
                    & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
                 => ~ ( C = k4_pre_topc(k15_euclid(np__2),k15_euclid(np__2),k9_jgraph_4(A),C)
                      & ? [D] :
                          ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
                          & r2_hidden(B,D)
                          & v3_pre_topc(D,k15_euclid(np__2))
                          & r1_tarski(D,C)
                          & r2_hidden(k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B),D) ) ) ) ) ) ) )).

fof(t143_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
          & ~ r1_xreal_0(np__1,A)
          & ! [B] :
              ( ( v1_funct_1(B)
                & v1_funct_2(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
                & m2_relset_1(B,u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) )
             => ~ ( B = k9_jgraph_4(A)
                  & v3_tops_2(B,k15_euclid(np__2),k15_euclid(np__2)) ) ) ) ) )).

fof(t144_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(np__0,k22_euclid(B))
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(np__0,k22_euclid(C))
                      & r1_xreal_0(np__0,k21_euclid(C)) ) ) ) ) ) ) ) )).

fof(t145_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
              & ~ r1_xreal_0(np__1,A)
              & ~ r1_xreal_0(np__0,k22_euclid(B))
              & ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
              & ? [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                  & C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                  & ~ ( ~ r1_xreal_0(np__0,k22_euclid(C))
                      & ~ r1_xreal_0(np__0,k21_euclid(C)) ) ) ) ) ) )).

fof(t146_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & r1_xreal_0(A,k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C))) )
               => ( r1_xreal_0(A,k1_real_1(np__1))
                  | r1_xreal_0(np__1,A)
                  | r1_xreal_0(np__0,k22_euclid(B))
                  | r1_xreal_0(np__0,k22_euclid(C))
                  | r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  | ! [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                     => ! [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                         => ~ ( D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                              & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),C)
                              & r1_xreal_0(k6_real_1(k21_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) ) ) )).

fof(t147_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(np__0,k22_euclid(B))
                  & ~ r1_xreal_0(A,k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & ~ r1_xreal_0(np__0,k22_euclid(C))
                  & ~ r1_xreal_0(A,k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)))
                  & ~ r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k21_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t148_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ~ ( ~ r1_xreal_0(A,k1_real_1(np__1))
                  & ~ r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(np__0,k22_euclid(B))
                  & ~ r1_xreal_0(np__0,k22_euclid(C))
                  & ~ r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)))
                  & ? [D] :
                      ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                      & ? [E] :
                          ( m1_subset_1(E,u1_struct_0(k15_euclid(np__2)))
                          & D = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                          & E = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),C)
                          & r1_xreal_0(k6_real_1(k21_euclid(E),k5_toprns_1(np__2,E)),k6_real_1(k21_euclid(D),k5_toprns_1(np__2,D))) ) ) ) ) ) ) )).

fof(t149_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ( k6_real_1(k21_euclid(B),k5_toprns_1(np__2,B)) = A
           => ( r1_xreal_0(A,k1_real_1(np__1))
              | r1_xreal_0(np__1,A)
              | r1_xreal_0(np__0,k22_euclid(B))
              | ! [C] :
                  ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
                 => ( C = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                   => ( ~ r1_xreal_0(np__0,k22_euclid(C))
                      & k21_euclid(C) = np__0 ) ) ) ) ) ) ) )).

fof(t150_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => k16_euclid(np__2) = k8_funct_2(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),k16_euclid(np__2)) ) )).

fof(dt_k1_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k5_numbers)
     => ( v1_funct_1(k1_jgraph_4(A))
        & v1_funct_2(k1_jgraph_4(A),u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr))
        & m2_relset_1(k1_jgraph_4(A),u1_struct_0(k15_euclid(A)),u1_struct_0(k3_topmetr)) ) ) )).

fof(dt_k2_jgraph_4,axiom,(
    ! [A,B] :
      ( ( v1_xreal_0(A)
        & m1_subset_1(B,u1_struct_0(k15_euclid(np__2))) )
     => m1_subset_1(k2_jgraph_4(A,B),u1_struct_0(k15_euclid(np__2))) ) )).

fof(dt_k3_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ( v1_funct_1(k3_jgraph_4(A))
        & v1_funct_2(k3_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
        & m2_relset_1(k3_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) ) ) )).

fof(dt_k4_jgraph_4,axiom,(
    ! [A,B] :
      ( ( v1_xreal_0(A)
        & m1_subset_1(B,u1_struct_0(k15_euclid(np__2))) )
     => m1_subset_1(k4_jgraph_4(A,B),u1_struct_0(k15_euclid(np__2))) ) )).

fof(dt_k5_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ( v1_funct_1(k5_jgraph_4(A))
        & v1_funct_2(k5_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
        & m2_relset_1(k5_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) ) ) )).

fof(dt_k6_jgraph_4,axiom,(
    ! [A,B] :
      ( ( v1_xreal_0(A)
        & m1_subset_1(B,u1_struct_0(k15_euclid(np__2))) )
     => m1_subset_1(k6_jgraph_4(A,B),u1_struct_0(k15_euclid(np__2))) ) )).

fof(dt_k7_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ( v1_funct_1(k7_jgraph_4(A))
        & v1_funct_2(k7_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
        & m2_relset_1(k7_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) ) ) )).

fof(dt_k8_jgraph_4,axiom,(
    ! [A,B] :
      ( ( v1_xreal_0(A)
        & m1_subset_1(B,u1_struct_0(k15_euclid(np__2))) )
     => m1_subset_1(k8_jgraph_4(A,B),u1_struct_0(k15_euclid(np__2))) ) )).

fof(dt_k9_jgraph_4,axiom,(
    ! [A] :
      ( v1_xreal_0(A)
     => ( v1_funct_1(k9_jgraph_4(A))
        & v1_funct_2(k9_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)))
        & m2_relset_1(k9_jgraph_4(A),u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2))) ) ) )).

fof(t6_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( v1_xreal_0(D)
                 => ( ( v5_pre_topc(B,A,k3_topmetr)
                      & C = a_3_0_jgraph_4(A,B,D) )
                   => v3_pre_topc(C,A) ) ) ) ) ) )).

fof(t7_jgraph_4,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_topmetr))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_topmetr)) )
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ( ( v5_pre_topc(B,A,k3_topmetr)
                      & C = a_3_1_jgraph_4(A,B,D) )
                   => v3_pre_topc(C,A) ) ) ) ) ) )).

fof(t30_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                      & C = a_0_0_jgraph_4
                      & B = a_1_0_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t31_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                      & C = a_0_0_jgraph_4
                      & B = a_1_1_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t32_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_2_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t33_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_3_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t34_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_0_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t35_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_1_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t36_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),A))))
         => ( ( A = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
              & B = a_0_0_jgraph_4 )
           => v4_pre_topc(B,k3_pre_topc(k15_euclid(np__2),A)) ) ) ) )).

fof(t37_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_0_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t38_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),A))))
         => ( ( A = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
              & B = a_0_1_jgraph_4 )
           => v4_pre_topc(B,k3_pre_topc(k15_euclid(np__2),A)) ) ) ) )).

fof(t39_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k3_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_1_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t41_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_0_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k3_jgraph_4(A),B),C) ) ) ) )).

fof(t42_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_1_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k3_jgraph_4(A),B),C) ) ) ) )).

fof(t63_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                      & C = a_0_2_jgraph_4
                      & B = a_1_4_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t64_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                      & C = a_0_2_jgraph_4
                      & B = a_1_5_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t65_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_6_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t66_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_7_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t67_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_2_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t68_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_3_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t69_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),A))))
         => ( ( A = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
              & B = a_0_2_jgraph_4 )
           => v4_pre_topc(B,k3_pre_topc(k15_euclid(np__2),A)) ) ) ) )).

fof(t70_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),A))))
         => ( ( A = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
              & B = a_0_3_jgraph_4 )
           => v4_pre_topc(B,k3_pre_topc(k15_euclid(np__2),A)) ) ) ) )).

fof(t71_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_2_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t72_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k5_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_3_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t74_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_2_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k5_jgraph_4(A),B),C) ) ) ) )).

fof(t75_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_3_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k5_jgraph_4(A),B),C) ) ) ) )).

fof(t96_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                      & C = a_0_1_jgraph_4
                      & B = a_1_8_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t97_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                      & C = a_0_1_jgraph_4
                      & B = a_1_9_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t98_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_10_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t99_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_11_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t100_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_1_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t101_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_0_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t102_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_1_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t103_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k7_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_0_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t105_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_1_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k7_jgraph_4(A),B),C) ) ) ) )).

fof(t106_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_0_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k7_jgraph_4(A),B),C) ) ) ) )).

fof(t127_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                      & C = a_0_3_jgraph_4
                      & B = a_1_12_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t128_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                      & C = a_0_3_jgraph_4
                      & B = a_1_13_jgraph_4(A) )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t129_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_14_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t130_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( B = a_1_15_jgraph_4(A)
           => v4_pre_topc(B,k15_euclid(np__2)) ) ) ) )).

fof(t131_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_3_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t132_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),C))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),B)
                      & C = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & B = a_0_2_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k15_euclid(np__2),B),k3_pre_topc(k15_euclid(np__2),C)) ) ) ) ) ) ) )).

fof(t133_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_3_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t134_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))))
             => ! [D] :
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B)))
                    & m2_relset_1(D,u1_struct_0(k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C)),u1_struct_0(k3_pre_topc(k15_euclid(np__2),B))) )
                 => ( ( D = k2_partfun1(u1_struct_0(k15_euclid(np__2)),u1_struct_0(k15_euclid(np__2)),k9_jgraph_4(A),C)
                      & B = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
                      & C = a_0_2_jgraph_4 )
                   => ( r1_xreal_0(A,k1_real_1(np__1))
                      | r1_xreal_0(np__1,A)
                      | v5_pre_topc(D,k3_pre_topc(k3_pre_topc(k15_euclid(np__2),B),C),k3_pre_topc(k15_euclid(np__2),B)) ) ) ) ) ) ) )).

fof(t136_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_3_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k9_jgraph_4(A),B),C) ) ) ) )).

fof(t137_jgraph_4,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B,C] :
          ( ( r2_hidden(B,C)
            & C = a_0_2_jgraph_4 )
         => ( r1_xreal_0(A,k1_real_1(np__1))
            | r1_xreal_0(np__1,A)
            | r2_hidden(k1_funct_1(k9_jgraph_4(A),B),C) ) ) ) )).

fof(s1_jgraph_4,axiom,
    ( f1_s1_jgraph_4 = k4_xboole_0(u1_struct_0(k15_euclid(np__2)),k1_struct_0(k15_euclid(np__2),k16_euclid(np__2)))
   => r1_tarski(a_0_4_jgraph_4,u1_struct_0(k3_pre_topc(k15_euclid(np__2),f1_s1_jgraph_4))) )).

fof(fraenkel_a_3_0_jgraph_4,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(B)
        & l1_pre_topc(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr))
        & m2_relset_1(C,u1_struct_0(B),u1_struct_0(k3_topmetr))
        & v1_xreal_0(D) )
     => ( r2_hidden(A,a_3_0_jgraph_4(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(B))
            & A = E
            & ~ r1_xreal_0(k6_jordan2c(B,k3_topmetr,C,E),D) ) ) ) )).

fof(fraenkel_a_3_1_jgraph_4,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(B)
        & l1_pre_topc(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k3_topmetr))
        & m2_relset_1(C,u1_struct_0(B),u1_struct_0(k3_topmetr))
        & m1_subset_1(D,k1_numbers) )
     => ( r2_hidden(A,a_3_1_jgraph_4(B,C,D))
      <=> ? [E] :
            ( m1_subset_1(E,u1_struct_0(B))
            & A = E
            & ~ r1_xreal_0(D,k6_jordan2c(B,k3_topmetr,C,E)) ) ) ) )).

fof(fraenkel_a_0_0_jgraph_4,axiom,(
    ! [A] :
      ( r2_hidden(A,a_0_0_jgraph_4)
    <=> ? [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
          & A = B
          & r1_xreal_0(k21_euclid(B),np__0)
          & B != k16_euclid(np__2) ) ) )).

fof(fraenkel_a_1_0_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_0_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(B,k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)))
            & r1_xreal_0(k21_euclid(C),np__0)
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_1_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_1_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),B)
            & r1_xreal_0(k21_euclid(C),np__0)
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_2_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_2_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k4_real_1(B,k5_toprns_1(np__2,C)),k22_euclid(C))
            & r1_xreal_0(k21_euclid(C),np__0) ) ) ) )).

fof(fraenkel_a_1_3_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_3_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k22_euclid(C),k4_real_1(B,k5_toprns_1(np__2,C)))
            & r1_xreal_0(k21_euclid(C),np__0) ) ) ) )).

fof(fraenkel_a_0_1_jgraph_4,axiom,(
    ! [A] :
      ( r2_hidden(A,a_0_1_jgraph_4)
    <=> ? [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
          & A = B
          & r1_xreal_0(np__0,k21_euclid(B))
          & B != k16_euclid(np__2) ) ) )).

fof(fraenkel_a_0_2_jgraph_4,axiom,(
    ! [A] :
      ( r2_hidden(A,a_0_2_jgraph_4)
    <=> ? [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
          & A = B
          & r1_xreal_0(np__0,k22_euclid(B))
          & B != k16_euclid(np__2) ) ) )).

fof(fraenkel_a_1_4_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_4_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(B,k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)))
            & r1_xreal_0(np__0,k22_euclid(C))
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_5_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_5_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),B)
            & r1_xreal_0(np__0,k22_euclid(C))
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_6_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_6_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k4_real_1(B,k5_toprns_1(np__2,C)),k21_euclid(C))
            & r1_xreal_0(np__0,k22_euclid(C)) ) ) ) )).

fof(fraenkel_a_1_7_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_7_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k21_euclid(C),k4_real_1(B,k5_toprns_1(np__2,C)))
            & r1_xreal_0(np__0,k22_euclid(C)) ) ) ) )).

fof(fraenkel_a_0_3_jgraph_4,axiom,(
    ! [A] :
      ( r2_hidden(A,a_0_3_jgraph_4)
    <=> ? [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
          & A = B
          & r1_xreal_0(k22_euclid(B),np__0)
          & B != k16_euclid(np__2) ) ) )).

fof(fraenkel_a_1_8_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_8_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(B,k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)))
            & r1_xreal_0(np__0,k21_euclid(C))
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_9_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_9_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k6_real_1(k22_euclid(C),k5_toprns_1(np__2,C)),B)
            & r1_xreal_0(np__0,k21_euclid(C))
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_10_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_10_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k4_real_1(B,k5_toprns_1(np__2,C)),k22_euclid(C))
            & r1_xreal_0(np__0,k21_euclid(C)) ) ) ) )).

fof(fraenkel_a_1_11_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_11_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k22_euclid(C),k4_real_1(B,k5_toprns_1(np__2,C)))
            & r1_xreal_0(np__0,k21_euclid(C)) ) ) ) )).

fof(fraenkel_a_1_12_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_12_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(B,k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)))
            & r1_xreal_0(k22_euclid(C),np__0)
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_13_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_13_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k6_real_1(k21_euclid(C),k5_toprns_1(np__2,C)),B)
            & r1_xreal_0(k22_euclid(C),np__0)
            & C != k16_euclid(np__2) ) ) ) )).

fof(fraenkel_a_1_14_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_14_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k4_real_1(B,k5_toprns_1(np__2,C)),k21_euclid(C))
            & r1_xreal_0(k22_euclid(C),np__0) ) ) ) )).

fof(fraenkel_a_1_15_jgraph_4,axiom,(
    ! [A,B] :
      ( m1_subset_1(B,k1_numbers)
     => ( r2_hidden(A,a_1_15_jgraph_4(B))
      <=> ? [C] :
            ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
            & A = C
            & r1_xreal_0(k21_euclid(C),k4_real_1(B,k5_toprns_1(np__2,C)))
            & r1_xreal_0(k22_euclid(C),np__0) ) ) ) )).

fof(fraenkel_a_0_4_jgraph_4,axiom,(
    ! [A] :
      ( r2_hidden(A,a_0_4_jgraph_4)
    <=> ? [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
          & A = B
          & p1_s1_jgraph_4(B)
          & B != k16_euclid(np__2) ) ) )).
%------------------------------------------------------------------------------