SET007 Axioms: SET007+416.ax


%------------------------------------------------------------------------------
% File     : SET007+416 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : On the Geometry of a Go-Board
% 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    : goboard6 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  108 (   4 unit)
%            Number of atoms       : 1139 (  39 equality)
%            Maximal formula depth :   16 (  11 average)
%            Number of connectives : 1210 ( 179 ~  ;  54  |; 709  &)
%                                         (  17 <=>; 251 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   23 (   1 propositional; 0-3 arity)
%            Number of functors    :   52 (   5 constant; 0-4 arity)
%            Number of variables   :  260 (   0 singleton; 228 !;  32 ?)
%            Maximal term depth    :    8 (   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_goboard6,axiom,(
    $true )).

fof(t2_goboard6,axiom,(
    $true )).

fof(t3_goboard6,axiom,(
    $true )).

fof(t4_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v6_metric_1(A)
        & l1_metric_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( v1_xreal_0(C)
             => ( ~ r1_xreal_0(C,np__0)
               => r2_hidden(B,k9_metric_1(A,B,C)) ) ) ) ) )).

fof(t5_goboard6,axiom,(
    $true )).

fof(t6_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k15_euclid(A))))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k14_euclid(A)))
                 => ( C = k9_metric_1(k14_euclid(A),D,B)
                   => v3_pre_topc(C,k15_euclid(A)) ) ) ) ) ) )).

fof(t7_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v6_metric_1(A)
        & v7_metric_1(A)
        & v8_metric_1(A)
        & v9_metric_1(A)
        & l1_metric_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(A))))
             => ( r2_hidden(B,k1_tops_1(k5_pcomps_1(A),C))
              <=> ? [D] :
                    ( v1_xreal_0(D)
                    & ~ r1_xreal_0(D,np__0)
                    & r1_tarski(k9_metric_1(A,B,D),C) ) ) ) ) ) )).

fof(t8_goboard6,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_zfmisc_1(u1_struct_0(k15_euclid(A))))
             => ( r2_hidden(B,k1_tops_1(k15_euclid(A),C))
              <=> ? [D] :
                    ( v1_xreal_0(D)
                    & ~ r1_xreal_0(D,np__0)
                    & r1_tarski(k9_metric_1(k14_euclid(A),B,D),C) ) ) ) ) ) )).

fof(t9_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k14_euclid(np__2)))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(k14_euclid(np__2)))
                         => ( ( E = k23_euclid(A,B)
                              & F = k23_euclid(C,D) )
                           => k4_metric_1(k14_euclid(np__2),E,F) = k9_square_1(k3_real_1(k7_square_1(k5_real_1(A,C)),k7_square_1(k5_real_1(B,D)))) ) ) ) ) ) ) ) )).

fof(t10_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k14_euclid(np__2)))
                     => ( ( E = k23_euclid(A,B)
                          & r1_xreal_0(np__0,C) )
                       => ( r1_xreal_0(D,C)
                          | r2_hidden(k23_euclid(k3_real_1(A,C),B),k9_metric_1(k14_euclid(np__2),E,D)) ) ) ) ) ) ) ) )).

fof(t11_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k14_euclid(np__2)))
                     => ( ( E = k23_euclid(A,B)
                          & r1_xreal_0(np__0,C) )
                       => ( r1_xreal_0(D,C)
                          | r2_hidden(k23_euclid(A,k3_real_1(B,C)),k9_metric_1(k14_euclid(np__2),E,D)) ) ) ) ) ) ) ) )).

fof(t12_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k14_euclid(np__2)))
                     => ( ( E = k23_euclid(A,B)
                          & r1_xreal_0(np__0,C) )
                       => ( r1_xreal_0(D,C)
                          | r2_hidden(k23_euclid(k5_real_1(A,C),B),k9_metric_1(k14_euclid(np__2),E,D)) ) ) ) ) ) ) ) )).

fof(t13_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ! [D] :
                  ( m1_subset_1(D,k1_numbers)
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k14_euclid(np__2)))
                     => ( ( E = k23_euclid(A,B)
                          & r1_xreal_0(np__0,C) )
                       => ( r1_xreal_0(D,C)
                          | r2_hidden(k23_euclid(A,k5_real_1(B,C)),k9_metric_1(k14_euclid(np__2),E,D)) ) ) ) ) ) ) ) )).

fof(t14_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k3_finseq_1(C),A)
                  | r1_xreal_0(k1_matrix_1(C),B)
                  | k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),B)) ) ) ) ) ) )).

fof(t30_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(A,k1_matrix_1(C))
                  & r2_hidden(B,k1_tops_1(k15_euclid(np__2),k2_goboard5(C,A)))
                  & r1_xreal_0(k22_euclid(B),k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,A))) ) ) ) ) )).

fof(t31_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( ~ r1_xreal_0(k1_matrix_1(C),A)
                  & r2_hidden(B,k1_tops_1(k15_euclid(np__2),k2_goboard5(C,A)))
                  & r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,k1_nat_1(A,np__1))),k22_euclid(B)) ) ) ) ) )).

fof(t32_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(A,k3_finseq_1(C))
                  & r2_hidden(B,k1_tops_1(k15_euclid(np__2),k1_goboard5(C,A)))
                  & r1_xreal_0(k21_euclid(B),k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,np__1))) ) ) ) ) )).

fof(t33_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( ~ r1_xreal_0(k3_finseq_1(C),A)
                  & r2_hidden(B,k1_tops_1(k15_euclid(np__2),k1_goboard5(C,A)))
                  & r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),np__1)),k21_euclid(B)) ) ) ) ) )).

fof(t34_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(k1_nat_1(A,np__1),k3_finseq_1(C))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(C)) )
               => r2_hidden(k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1)))),k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B))) ) ) ) ) )).

fof(t35_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( ( r1_xreal_0(np__1,A)
              & r1_xreal_0(k1_nat_1(A,np__1),k3_finseq_1(B)) )
           => r2_hidden(k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)))),k23_euclid(np__0,np__1)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k1_matrix_1(B)))) ) ) ) )).

fof(t36_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( ( r1_xreal_0(np__1,A)
              & r1_xreal_0(k1_nat_1(A,np__1),k3_finseq_1(B)) )
           => r2_hidden(k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1))),k23_euclid(np__0,np__1)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__0))) ) ) ) )).

fof(t37_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( ( r1_xreal_0(np__1,A)
              & r1_xreal_0(k1_nat_1(A,np__1),k1_matrix_1(B)) )
           => r2_hidden(k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),A))) ) ) ) )).

fof(t38_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( ( r1_xreal_0(np__1,A)
              & r1_xreal_0(k1_nat_1(A,np__1),k1_matrix_1(B)) )
           => r2_hidden(k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,A))) ) ) ) )).

fof(t39_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r2_hidden(k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__1)),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,np__0))) ) )).

fof(t40_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r2_hidden(k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__1)),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),k1_matrix_1(A)))) ) )).

fof(t41_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r2_hidden(k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(k1_real_1(np__1),np__1)),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,k1_matrix_1(A)))) ) )).

fof(t42_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r2_hidden(k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,k1_real_1(np__1))),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),np__0))) ) )).

fof(t43_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k3_finseq_1(C),A)
                  | r1_xreal_0(k1_matrix_1(C),B)
                  | r1_tarski(k3_topreal1(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1)))),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1))))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1))))))) ) ) ) ) ) )).

fof(t44_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k3_finseq_1(C),A)
                  | r1_xreal_0(k1_matrix_1(C),B)
                  | r1_tarski(k3_topreal1(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1)))),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1))))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1))))))) ) ) ) ) ) )).

fof(t45_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k3_finseq_1(C),A)
                  | r1_xreal_0(k1_matrix_1(C),B)
                  | r1_tarski(k3_topreal1(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1)))),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1))))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1))))))) ) ) ) ) ) )).

fof(t46_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k3_finseq_1(C),A)
                  | r1_xreal_0(k1_matrix_1(C),B)
                  | r1_tarski(k3_topreal1(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1)))),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),B)))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),B)))))) ) ) ) ) ) )).

fof(t47_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1))))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,A)),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1))))))) ) ) ) ) )).

fof(t48_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1))))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),A)),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1))))))) ) ) ) ) )).

fof(t49_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1))),k23_euclid(np__0,np__1)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1)))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__0)),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1)))))) ) ) ) ) )).

fof(t50_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)))),k23_euclid(np__0,np__1)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B))))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k1_matrix_1(B))),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B))))))) ) ) ) ) )).

fof(t51_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,A)),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k23_euclid(np__1,np__0))))) ) ) ) ) )).

fof(t52_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,A)),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)),k23_euclid(np__1,np__0))))) ) ) ) ) )).

fof(t53_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),A)),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k23_euclid(np__1,np__0))))) ) ) ) ) )).

fof(t54_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),A)),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)),k23_euclid(np__1,np__0))))) ) ) ) ) )).

fof(t55_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1))),k23_euclid(np__0,np__1)),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__0)),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k23_euclid(np__0,np__1))))) ) ) ) ) )).

fof(t56_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1))),k23_euclid(np__0,np__1)),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__0)),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1),k23_euclid(np__0,np__1))))) ) ) ) ) )).

fof(t57_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)))),k23_euclid(np__0,np__1)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k1_matrix_1(B))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k23_euclid(np__0,np__1))))) ) ) ) ) )).

fof(t58_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)))),k23_euclid(np__0,np__1)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k1_matrix_1(B))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)),k23_euclid(np__0,np__1))))) ) ) ) ) )).

fof(t59_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__1)),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,np__0)),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__0))))) ) )).

fof(t60_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,k1_real_1(np__1))),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),np__0)),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,np__0))))) ) )).

fof(t61_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(k1_real_1(np__1),np__1)),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,k1_matrix_1(A))),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(np__1,np__0))))) ) )).

fof(t62_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__1)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__0))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),k1_matrix_1(A))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__0))))) ) )).

fof(t63_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__1)),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,np__0)),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__0,np__1))))) ) )).

fof(t64_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,k1_real_1(np__1))),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),np__0)),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__0,np__1))))) ) )).

fof(t65_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(k1_real_1(np__1),np__1)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,k1_matrix_1(A))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(np__0,np__1))))) ) )).

fof(t66_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__1)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__0,np__1))),k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),k1_matrix_1(A))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__0,np__1))))) ) )).

fof(t67_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k3_finseq_1(C),A)
                  | r1_xreal_0(k1_matrix_1(C),k1_nat_1(B,np__1))
                  | r1_tarski(k3_topreal1(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1)))),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__2))))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)),k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,k1_nat_1(B,np__1)))),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1))))))) ) ) ) ) ) )).

fof(t68_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k1_matrix_1(C),A)
                  | r1_xreal_0(k3_finseq_1(C),k1_nat_1(B,np__1))
                  | r1_tarski(k3_topreal1(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,B,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__1),k1_nat_1(A,np__1)))),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__1),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__2),k1_nat_1(A,np__1))))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,B,A)),k1_tops_1(k15_euclid(np__2),k3_goboard5(C,k1_nat_1(B,np__1),A))),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__1),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__1),k1_nat_1(A,np__1))))))) ) ) ) ) ) )).

fof(t69_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_xreal_0(k1_matrix_1(B),np__1)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1))),k23_euclid(np__0,np__1)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__2)))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__1))),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1)))))) ) ) ) ) )).

fof(t70_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | r1_xreal_0(k1_matrix_1(B),np__1)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)))),k23_euclid(np__0,np__1)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k5_binarith(k1_matrix_1(B),np__1))))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k5_binarith(k1_matrix_1(B),np__1))),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k1_matrix_1(B)))),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B))))))) ) ) ) ) )).

fof(t71_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_xreal_0(k3_finseq_1(B),np__1)
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__2,k1_nat_1(A,np__1))))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,A)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__1,A))),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1))))))) ) ) ) ) )).

fof(t72_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | r1_xreal_0(k3_finseq_1(B),np__1)
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k5_binarith(k3_finseq_1(B),np__1),k1_nat_1(A,np__1))))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k5_binarith(k3_finseq_1(B),np__1),A)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),A))),k1_struct_0(k15_euclid(np__2),k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1))))))) ) ) ) ) )).

fof(t73_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),np__1)
              | r1_xreal_0(k1_matrix_1(B),k1_nat_1(A,np__1))
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__2)))),k23_euclid(np__1,np__0))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,A)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,k1_nat_1(A,np__1)))),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_nat_1(A,np__1)),k23_euclid(np__1,np__0))))) ) ) ) ) )).

fof(t74_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),np__1)
              | r1_xreal_0(k1_matrix_1(B),k1_nat_1(A,np__1))
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__2)))),k23_euclid(np__1,np__0))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),A)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),k1_nat_1(A,np__1)))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_nat_1(A,np__1)),k23_euclid(np__1,np__0))))) ) ) ) ) )).

fof(t75_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),np__1)
              | r1_xreal_0(k3_finseq_1(B),k1_nat_1(A,np__1))
              | r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1))),k23_euclid(np__0,np__1)),k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__2),np__1))),k23_euclid(np__0,np__1))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k1_nat_1(A,np__1),np__0))),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),np__1),k23_euclid(np__0,np__1))))) ) ) ) ) )).

fof(t76_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),np__1)
              | r1_xreal_0(k3_finseq_1(B),k1_nat_1(A,np__1))
              | r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,A,k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)))),k23_euclid(np__0,np__1)),k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__2),k1_matrix_1(B)))),k23_euclid(np__0,np__1))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k1_matrix_1(B))),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k1_nat_1(A,np__1),k1_matrix_1(B)))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1),k1_matrix_1(B)),k23_euclid(np__0,np__1))))) ) ) ) ) )).

fof(t77_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__1)),k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__2))),k23_euclid(np__1,np__0))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,np__1))),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__0))))) ) ) )).

fof(t78_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,k1_real_1(np__1))),k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__2))),k23_euclid(np__1,np__0))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),np__1))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,np__0))))) ) ) )).

fof(t79_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(k1_real_1(np__1),np__1)),k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k5_binarith(k1_matrix_1(A),np__1)))),k23_euclid(np__1,np__0))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,k1_matrix_1(A))),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,k5_binarith(k1_matrix_1(A),np__1)))),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(np__1,np__0))))) ) ) )).

fof(t80_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__1)),k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k5_binarith(k1_matrix_1(A),np__1)))),k23_euclid(np__1,np__0))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),k1_matrix_1(A))),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),k5_binarith(k1_matrix_1(A),np__1)))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__0))))) ) ) )).

fof(t81_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__1,np__1)),k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__2,np__1))),k23_euclid(np__0,np__1))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__1,np__0))),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,np__1),k23_euclid(np__0,np__1))))) ) ) )).

fof(t82_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(k1_real_1(np__1),np__1)),k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__2,k1_matrix_1(A)))),k23_euclid(np__0,np__1))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,k1_matrix_1(A))),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__1,k1_matrix_1(A)))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,np__1,k1_matrix_1(A)),k23_euclid(np__0,np__1))))) ) ) )).

fof(t83_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__1,k1_real_1(np__1))),k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k5_binarith(k3_finseq_1(A),np__1),np__1))),k23_euclid(np__0,np__1))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),np__0)),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k5_binarith(k3_finseq_1(A),np__1),np__0))),k1_struct_0(k15_euclid(np__2),k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),np__1),k23_euclid(np__0,np__1))))) ) ) )).

fof(t84_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ~ ( ~ r1_xreal_0(k1_matrix_1(A),np__1)
          & ~ r1_xreal_0(k3_finseq_1(A),np__1)
          & ~ r1_tarski(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__1,np__1)),k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k5_binarith(k3_finseq_1(A),np__1),k1_matrix_1(A)))),k23_euclid(np__0,np__1))),k2_xboole_0(k2_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),k1_matrix_1(A))),k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k5_binarith(k3_finseq_1(A),np__1),k1_matrix_1(A)))),k1_struct_0(k15_euclid(np__2),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k3_finseq_1(A),k1_matrix_1(A)),k23_euclid(np__0,np__1))))) ) ) )).

fof(t85_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ! [D] :
                  ( ( ~ v3_relat_1(D)
                    & v1_matrix_1(D)
                    & v3_goboard1(D)
                    & v4_goboard1(D)
                    & v5_goboard1(D)
                    & v6_goboard1(D)
                    & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
                 => ~ ( r1_xreal_0(np__1,A)
                      & r1_xreal_0(k1_nat_1(A,np__1),k3_finseq_1(D))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(D))
                      & r1_xboole_0(k3_topreal1(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),D,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(A,np__1),k1_nat_1(B,np__1)))),C),k1_tops_1(k15_euclid(np__2),k3_goboard5(D,A,B))) ) ) ) ) ) )).

fof(t86_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(k1_nat_1(A,np__1),k3_finseq_1(C))
                  & r1_xboole_0(k3_topreal1(np__2,B,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_matrix_1(C)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_matrix_1(C)))),k23_euclid(np__0,np__1))),k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,k1_matrix_1(C)))) ) ) ) ) )).

fof(t87_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(k1_nat_1(A,np__1),k3_finseq_1(C))
                  & r1_xboole_0(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),np__1))),k23_euclid(np__0,np__1)),B),k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,np__0))) ) ) ) ) )).

fof(t88_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(k1_nat_1(A,np__1),k1_matrix_1(C))
                  & r1_xboole_0(k3_topreal1(np__2,k20_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0)),B),k1_tops_1(k15_euclid(np__2),k3_goboard5(C,np__0,A))) ) ) ) ) )).

fof(t89_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(k1_nat_1(A,np__1),k1_matrix_1(C))
                  & r1_xboole_0(k3_topreal1(np__2,B,k17_euclid(np__2,k18_euclid(k6_real_1(np__1,np__2),np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k3_finseq_1(C),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k3_finseq_1(C),k1_nat_1(A,np__1)))),k23_euclid(np__1,np__0))),k1_tops_1(k15_euclid(np__2),k3_goboard5(C,k3_finseq_1(C),A))) ) ) ) ) )).

fof(t90_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ~ r1_xboole_0(k3_topreal1(np__2,A,k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,np__1),k23_euclid(np__1,np__1))),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,np__0))) ) ) )).

fof(t91_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ~ r1_xboole_0(k3_topreal1(np__2,A,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),k1_matrix_1(B)),k23_euclid(np__1,np__1))),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),k1_matrix_1(B)))) ) ) )).

fof(t92_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ~ r1_xboole_0(k3_topreal1(np__2,A,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_matrix_1(B)),k23_euclid(k1_real_1(np__1),np__1))),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,k1_matrix_1(B)))) ) ) )).

fof(t93_goboard6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ~ r1_xboole_0(k3_topreal1(np__2,A,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),np__1),k23_euclid(np__1,k1_real_1(np__1)))),k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),np__0))) ) ) )).

fof(t15_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k1_goboard5(A,np__0)) = a_1_0_goboard6(A) ) )).

fof(t16_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k1_goboard5(A,k3_finseq_1(A))) = a_1_1_goboard6(A) ) )).

fof(t17_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | k1_tops_1(k15_euclid(np__2),k1_goboard5(B,A)) = a_2_0_goboard6(A,B) ) ) ) ) )).

fof(t18_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k2_goboard5(A,np__0)) = a_1_2_goboard6(A) ) )).

fof(t19_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k2_goboard5(A,k1_matrix_1(A))) = a_1_3_goboard6(A) ) )).

fof(t20_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | k1_tops_1(k15_euclid(np__2),k2_goboard5(B,A)) = a_2_1_goboard6(A,B) ) ) ) ) )).

fof(t21_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,np__0)) = a_1_4_goboard6(A) ) )).

fof(t22_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k3_goboard5(A,np__0,k1_matrix_1(A))) = a_1_5_goboard6(A) ) )).

fof(t23_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | k1_tops_1(k15_euclid(np__2),k3_goboard5(B,np__0,A)) = a_2_2_goboard6(A,B) ) ) ) ) )).

fof(t24_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),np__0)) = a_1_6_goboard6(A) ) )).

fof(t25_goboard6,axiom,(
    ! [A] :
      ( ( ~ v3_relat_1(A)
        & v1_matrix_1(A)
        & v3_goboard1(A)
        & v4_goboard1(A)
        & v5_goboard1(A)
        & v6_goboard1(A)
        & m2_finseq_1(A,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => k1_tops_1(k15_euclid(np__2),k3_goboard5(A,k3_finseq_1(A),k1_matrix_1(A))) = a_1_7_goboard6(A) ) )).

fof(t26_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k1_matrix_1(B),A)
              | k1_tops_1(k15_euclid(np__2),k3_goboard5(B,k3_finseq_1(B),A)) = a_2_3_goboard6(A,B) ) ) ) ) )).

fof(t27_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,np__0)) = a_2_4_goboard6(A,B) ) ) ) ) )).

fof(t28_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(np__1,A)
           => ( r1_xreal_0(k3_finseq_1(B),A)
              | k1_tops_1(k15_euclid(np__2),k3_goboard5(B,A,k1_matrix_1(B))) = a_2_5_goboard6(A,B) ) ) ) ) )).

fof(t29_goboard6,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v3_relat_1(C)
                & v1_matrix_1(C)
                & v3_goboard1(C)
                & v4_goboard1(C)
                & v5_goboard1(C)
                & v6_goboard1(C)
                & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
             => ( ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(np__1,B) )
               => ( r1_xreal_0(k3_finseq_1(C),A)
                  | r1_xreal_0(k1_matrix_1(C),B)
                  | k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)) = a_3_0_goboard6(A,B,C) ) ) ) ) ) )).

fof(fraenkel_a_1_0_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_0_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,np__1)),C) ) ) ) )).

fof(fraenkel_a_1_1_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_1_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(C,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),np__1))) ) ) ) )).

fof(fraenkel_a_2_0_goboard6,axiom,(
    ! [A,B,C] :
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & ~ v3_relat_1(C)
        & v1_matrix_1(C)
        & v3_goboard1(C)
        & v4_goboard1(C)
        & v5_goboard1(C)
        & v6_goboard1(C)
        & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_2_0_goboard6(B,C))
      <=> ? [D,E] :
            ( m1_subset_1(D,k1_numbers)
            & m1_subset_1(E,k1_numbers)
            & A = k23_euclid(D,E)
            & ~ r1_xreal_0(D,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,B,np__1)))
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__1),np__1)),D) ) ) ) )).

fof(fraenkel_a_1_2_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_2_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,np__1)),D) ) ) ) )).

fof(fraenkel_a_1_3_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_3_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(D,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_matrix_1(B)))) ) ) ) )).

fof(fraenkel_a_2_1_goboard6,axiom,(
    ! [A,B,C] :
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & ~ v3_relat_1(C)
        & v1_matrix_1(C)
        & v3_goboard1(C)
        & v4_goboard1(C)
        & v5_goboard1(C)
        & v6_goboard1(C)
        & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_2_1_goboard6(B,C))
      <=> ? [D,E] :
            ( m1_subset_1(D,k1_numbers)
            & m1_subset_1(E,k1_numbers)
            & A = k23_euclid(D,E)
            & ~ r1_xreal_0(E,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,B)))
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,k1_nat_1(B,np__1))),E) ) ) ) )).

fof(fraenkel_a_1_4_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_4_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,np__1)),C)
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,np__1)),D) ) ) ) )).

fof(fraenkel_a_1_5_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_5_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,np__1)),C)
            & ~ r1_xreal_0(D,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_matrix_1(B)))) ) ) ) )).

fof(fraenkel_a_2_2_goboard6,axiom,(
    ! [A,B,C] :
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & ~ v3_relat_1(C)
        & v1_matrix_1(C)
        & v3_goboard1(C)
        & v4_goboard1(C)
        & v5_goboard1(C)
        & v6_goboard1(C)
        & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_2_2_goboard6(B,C))
      <=> ? [D,E] :
            ( m1_subset_1(D,k1_numbers)
            & m1_subset_1(E,k1_numbers)
            & A = k23_euclid(D,E)
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,np__1)),D)
            & ~ r1_xreal_0(E,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,B)))
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,k1_nat_1(B,np__1))),E) ) ) ) )).

fof(fraenkel_a_1_6_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_6_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(C,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),np__1)))
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,np__1)),D) ) ) ) )).

fof(fraenkel_a_1_7_goboard6,axiom,(
    ! [A,B] :
      ( ( ~ v3_relat_1(B)
        & v1_matrix_1(B)
        & v3_goboard1(B)
        & v4_goboard1(B)
        & v5_goboard1(B)
        & v6_goboard1(B)
        & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_1_7_goboard6(B))
      <=> ? [C,D] :
            ( m1_subset_1(C,k1_numbers)
            & m1_subset_1(D,k1_numbers)
            & A = k23_euclid(C,D)
            & ~ r1_xreal_0(C,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,k3_finseq_1(B),np__1)))
            & ~ r1_xreal_0(D,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),B,np__1,k1_matrix_1(B)))) ) ) ) )).

fof(fraenkel_a_2_3_goboard6,axiom,(
    ! [A,B,C] :
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & ~ v3_relat_1(C)
        & v1_matrix_1(C)
        & v3_goboard1(C)
        & v4_goboard1(C)
        & v5_goboard1(C)
        & v6_goboard1(C)
        & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_2_3_goboard6(B,C))
      <=> ? [D,E] :
            ( m1_subset_1(D,k1_numbers)
            & m1_subset_1(E,k1_numbers)
            & A = k23_euclid(D,E)
            & ~ r1_xreal_0(D,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k3_finseq_1(C),np__1)))
            & ~ r1_xreal_0(E,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,B)))
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,k1_nat_1(B,np__1))),E) ) ) ) )).

fof(fraenkel_a_2_4_goboard6,axiom,(
    ! [A,B,C] :
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & ~ v3_relat_1(C)
        & v1_matrix_1(C)
        & v3_goboard1(C)
        & v4_goboard1(C)
        & v5_goboard1(C)
        & v6_goboard1(C)
        & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_2_4_goboard6(B,C))
      <=> ? [D,E] :
            ( m1_subset_1(D,k1_numbers)
            & m1_subset_1(E,k1_numbers)
            & A = k23_euclid(D,E)
            & ~ r1_xreal_0(D,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,B,np__1)))
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__1),np__1)),D)
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,np__1)),E) ) ) ) )).

fof(fraenkel_a_2_5_goboard6,axiom,(
    ! [A,B,C] :
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & ~ v3_relat_1(C)
        & v1_matrix_1(C)
        & v3_goboard1(C)
        & v4_goboard1(C)
        & v5_goboard1(C)
        & v6_goboard1(C)
        & m2_finseq_1(C,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_2_5_goboard6(B,C))
      <=> ? [D,E] :
            ( m1_subset_1(D,k1_numbers)
            & m1_subset_1(E,k1_numbers)
            & A = k23_euclid(D,E)
            & ~ r1_xreal_0(D,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,B,np__1)))
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(B,np__1),np__1)),D)
            & ~ r1_xreal_0(E,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,np__1,k1_matrix_1(C)))) ) ) ) )).

fof(fraenkel_a_3_0_goboard6,axiom,(
    ! [A,B,C,D] :
      ( ( m2_subset_1(B,k1_numbers,k5_numbers)
        & m2_subset_1(C,k1_numbers,k5_numbers)
        & ~ v3_relat_1(D)
        & v1_matrix_1(D)
        & v3_goboard1(D)
        & v4_goboard1(D)
        & v5_goboard1(D)
        & v6_goboard1(D)
        & m2_finseq_1(D,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
     => ( r2_hidden(A,a_3_0_goboard6(B,C,D))
      <=> ? [E,F] :
            ( m1_subset_1(E,k1_numbers)
            & m1_subset_1(F,k1_numbers)
            & A = k23_euclid(E,F)
            & ~ r1_xreal_0(E,k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),D,B,np__1)))
            & ~ r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(B,np__1),np__1)),E)
            & ~ r1_xreal_0(F,k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),D,np__1,C)))
            & ~ r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),D,np__1,k1_nat_1(C,np__1))),F) ) ) ) )).
%------------------------------------------------------------------------------