SET007 Axioms: SET007+417.ax


%------------------------------------------------------------------------------
% File     : SET007+417 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : On the Go-Board of a Standard Special Circular Sequence
% 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    : goboard7 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   64 (   0 unit)
%            Number of atoms       : 1069 ( 179 equality)
%            Maximal formula depth :   25 (  15 average)
%            Number of connectives : 1171 ( 166 ~  ;  34  |; 708  &)
%                                         (   1 <=>; 262 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   23 (   0 propositional; 1-3 arity)
%            Number of functors    :   35 (   6 constant; 0-4 arity)
%            Number of variables   :  226 (   0 singleton; 224 !;   2 ?)
%            Maximal term depth    :    6 (   2 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(t1_goboard7,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ! [C] :
              ( m1_subset_1(C,k1_numbers)
             => ~ ( ~ r1_xreal_0(k18_complex1(k5_real_1(A,B)),C)
                  & r1_xreal_0(B,k3_real_1(A,C))
                  & r1_xreal_0(A,k3_real_1(B,C)) ) ) ) ) )).

fof(t2_goboard7,axiom,(
    ! [A] :
      ( m1_subset_1(A,k1_numbers)
     => ! [B] :
          ( m1_subset_1(B,k1_numbers)
         => ( k18_complex1(k5_real_1(A,B)) = np__0
          <=> A = B ) ) ) )).

fof(t3_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(A)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(A)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(A)))
                 => ( k17_euclid(A,B,C) = k17_euclid(A,D,C)
                   => B = D ) ) ) ) ) )).

fof(t4_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(A)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(A)))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k15_euclid(A)))
                 => ( k17_euclid(A,C,B) = k17_euclid(A,C,D)
                   => B = D ) ) ) ) ) )).

fof(t5_goboard7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r2_hidden(A,k3_topreal1(np__2,B,C))
                  & k21_euclid(B) = k21_euclid(C) )
               => k21_euclid(A) = k21_euclid(C) ) ) ) ) )).

fof(t6_goboard7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r2_hidden(A,k3_topreal1(np__2,B,C))
                  & k22_euclid(B) = k22_euclid(C) )
               => k22_euclid(A) = k22_euclid(C) ) ) ) ) )).

fof(t7_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(A)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(A)))
             => r2_hidden(k18_euclid(k6_real_1(np__1,np__2),A,k17_euclid(A,B,C)),k3_topreal1(A,B,C)) ) ) ) )).

fof(t8_goboard7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( k21_euclid(A) = k21_euclid(B)
                  & k21_euclid(B) = k21_euclid(C)
                  & r1_xreal_0(k22_euclid(A),k22_euclid(B))
                  & r1_xreal_0(k22_euclid(B),k22_euclid(C)) )
               => r2_hidden(B,k3_topreal1(np__2,A,C)) ) ) ) ) )).

fof(t9_goboard7,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(k15_euclid(np__2)))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
             => ( ( r1_xreal_0(k21_euclid(A),k21_euclid(B))
                  & r1_xreal_0(k21_euclid(B),k21_euclid(C))
                  & k22_euclid(A) = k22_euclid(B)
                  & k22_euclid(B) = k22_euclid(C) )
               => r2_hidden(B,k3_topreal1(np__2,A,C)) ) ) ) ) )).

fof(t10_goboard7,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( v1_matrix_1(D)
                    & m2_finseq_1(D,k3_finseq_2(A)) )
                 => ( ( r1_xreal_0(np__1,B)
                      & r1_xreal_0(B,k3_finseq_1(D))
                      & r1_xreal_0(np__1,C)
                      & r1_xreal_0(C,k1_matrix_1(D)) )
                   => r2_hidden(k4_tarski(B,C),k2_matrix_1(D)) ) ) ) ) ) )).

fof(t11_goboard7,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)) )
               => 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),B))) ) ) ) ) )).

fof(t12_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ~ ( v1_sppol_1(k4_topreal1(np__2,A,B))
              & ! [C] :
                  ( m2_subset_1(C,k1_numbers,k5_numbers)
                 => ~ ( r1_xreal_0(np__1,C)
                      & r1_xreal_0(C,k1_matrix_1(k3_goboard2(A)))
                      & ! [D] :
                          ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                         => ( r2_hidden(D,k4_topreal1(np__2,A,B))
                           => k22_euclid(D) = k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,C)) ) ) ) ) ) ) ) )).

fof(t13_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ~ ( v2_sppol_1(k4_topreal1(np__2,A,B))
              & ! [C] :
                  ( m2_subset_1(C,k1_numbers,k5_numbers)
                 => ~ ( r1_xreal_0(np__1,C)
                      & r1_xreal_0(C,k3_finseq_1(k3_goboard2(A)))
                      & ! [D] :
                          ( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
                         => ( r2_hidden(D,k4_topreal1(np__2,A,B))
                           => k21_euclid(D) = k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,np__1)) ) ) ) ) ) ) ) )).

fof(t14_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( ( v1_topreal1(A)
                  & r1_xreal_0(B,k3_finseq_1(k3_goboard2(A)))
                  & r1_xreal_0(C,k1_matrix_1(k3_goboard2(A))) )
               => r1_xboole_0(k1_tops_1(k15_euclid(np__2),k3_goboard5(k3_goboard2(A),B,C)),k5_topreal1(np__2,A)) ) ) ) ) )).

fof(t15_goboard7,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(A,k3_finseq_1(C))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__2),k1_matrix_1(C)) )
               => k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(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))),k3_topreal1(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,A,k1_nat_1(B,np__2)))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1))) ) ) ) ) )).

fof(t16_goboard7,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__2),k3_finseq_1(C))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(B,k1_matrix_1(C)) )
               => k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(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)),k3_topreal1(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__2),B))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),B)) ) ) ) ) )).

fof(t17_goboard7,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)) )
               => k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(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))),k3_topreal1(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)))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,k1_nat_1(B,np__1))) ) ) ) ) )).

fof(t18_goboard7,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)) )
               => k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(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))),k3_topreal1(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)))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),k1_nat_1(B,np__1))) ) ) ) ) )).

fof(t19_goboard7,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)) )
               => k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(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)),k3_topreal1(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)))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,A,B)) ) ) ) ) )).

fof(t20_goboard7,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)) )
               => k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(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)),k3_topreal1(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)))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(A,np__1),B)) ) ) ) ) )).

fof(t21_goboard7,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)))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ( ( r1_xreal_0(np__1,B)
                          & r1_xreal_0(B,k3_finseq_1(A))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(k1_nat_1(C,np__1),k1_matrix_1(A))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(D,k3_finseq_1(A))
                          & r1_xreal_0(np__1,E)
                          & r1_xreal_0(k1_nat_1(E,np__1),k1_matrix_1(A)) )
                       => ( r1_xboole_0(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,k1_nat_1(E,np__1))))
                          | ( B = D
                            & r1_xreal_0(k1_int_2(k5_real_1(C,E)),np__1) ) ) ) ) ) ) ) ) )).

fof(t22_goboard7,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)))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ( ( r1_xreal_0(np__1,B)
                          & r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(C,k1_matrix_1(A))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(k1_nat_1(D,np__1),k3_finseq_1(A))
                          & r1_xreal_0(np__1,E)
                          & r1_xreal_0(E,k1_matrix_1(A)) )
                       => ( r1_xboole_0(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1),C)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E)))
                          | ( C = E
                            & r1_xreal_0(k1_int_2(k5_real_1(B,D)),np__1) ) ) ) ) ) ) ) ) )).

fof(t23_goboard7,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)))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ( ( r1_xreal_0(np__1,B)
                          & r1_xreal_0(B,k3_finseq_1(A))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(k1_nat_1(C,np__1),k1_matrix_1(A))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(k1_nat_1(D,np__1),k3_finseq_1(A))
                          & r1_xreal_0(np__1,E)
                          & r1_xreal_0(E,k1_matrix_1(A)) )
                       => ( r1_xboole_0(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E)))
                          | ( ( B = D
                              | B = k1_nat_1(D,np__1) )
                            & ( C = E
                              | k1_nat_1(C,np__1) = E ) ) ) ) ) ) ) ) ) )).

fof(t24_goboard7,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)))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,B)
                          & r1_xreal_0(B,k3_finseq_1(A))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(k1_nat_1(C,np__1),k1_matrix_1(A))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(D,k3_finseq_1(A))
                          & r1_xreal_0(np__1,E)
                          & r1_xreal_0(k1_nat_1(E,np__1),k1_matrix_1(A))
                          & ~ r1_xboole_0(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,k1_nat_1(E,np__1))))
                          & ~ ( C = E
                              & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))) = k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,k1_nat_1(E,np__1))) )
                          & ~ ( C = k1_nat_1(E,np__1)
                              & k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,k1_nat_1(E,np__1)))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C)) )
                          & ~ ( k1_nat_1(C,np__1) = E
                              & k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,k1_nat_1(E,np__1)))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E)) ) ) ) ) ) ) ) )).

fof(t25_goboard7,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)))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,B)
                          & r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(C,k1_matrix_1(A))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(k1_nat_1(D,np__1),k3_finseq_1(A))
                          & r1_xreal_0(np__1,E)
                          & r1_xreal_0(E,k1_matrix_1(A))
                          & ~ r1_xboole_0(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1),C)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E)))
                          & ~ ( B = D
                              & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1),C)) = k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E)) )
                          & ~ ( B = k1_nat_1(D,np__1)
                              & k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1),C)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C)) )
                          & ~ ( k1_nat_1(B,np__1) = D
                              & k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1),C)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E)) ) ) ) ) ) ) ) )).

fof(t26_goboard7,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)))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,B)
                          & r1_xreal_0(B,k3_finseq_1(A))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(k1_nat_1(C,np__1),k1_matrix_1(A))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(k1_nat_1(D,np__1),k3_finseq_1(A))
                          & r1_xreal_0(np__1,E)
                          & r1_xreal_0(E,k1_matrix_1(A))
                          & ~ r1_xboole_0(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E)))
                          & ~ ( C = E
                              & k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C)) )
                          & ~ ( k1_nat_1(C,np__1) = E
                              & k5_subset_1(u1_struct_0(k15_euclid(np__2)),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(D,np__1),E))) = k1_struct_0(k15_euclid(np__2),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),A,B,k1_nat_1(C,np__1))) ) ) ) ) ) ) ) )).

fof(t27_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( ( ~ v3_relat_1(E)
                        & v1_matrix_1(E)
                        & v3_goboard1(E)
                        & v4_goboard1(E)
                        & v5_goboard1(E)
                        & v6_goboard1(E)
                        & m2_finseq_1(E,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
                     => ( ( r1_xreal_0(np__1,A)
                          & r1_xreal_0(A,k3_finseq_1(E))
                          & r1_xreal_0(np__1,B)
                          & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(E))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(C,k3_finseq_1(E))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(k1_nat_1(D,np__1),k1_matrix_1(E))
                          & 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)),E,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),E,A,k1_nat_1(B,np__1)))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),E,C,D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),E,C,k1_nat_1(D,np__1)))) )
                       => ( A = C
                          & B = D ) ) ) ) ) ) ) )).

fof(t28_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( ( ~ v3_relat_1(E)
                        & v1_matrix_1(E)
                        & v3_goboard1(E)
                        & v4_goboard1(E)
                        & v5_goboard1(E)
                        & v6_goboard1(E)
                        & m2_finseq_1(E,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(E))
                          & r1_xreal_0(np__1,B)
                          & r1_xreal_0(B,k1_matrix_1(E))
                          & r1_xreal_0(np__1,C)
                          & r1_xreal_0(k1_nat_1(C,np__1),k3_finseq_1(E))
                          & r1_xreal_0(np__1,D)
                          & r1_xreal_0(D,k1_matrix_1(E))
                          & 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)),E,A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),E,k1_nat_1(A,np__1),B))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),E,C,D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),E,k1_nat_1(C,np__1),D))) )
                       => ( A = C
                          & B = D ) ) ) ) ) ) ) )).

fof(t29_goboard7,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(B,k1_matrix_1(C)) )
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => ~ ( r1_xreal_0(np__1,D)
                            & r1_xreal_0(D,k3_finseq_1(C))
                            & r1_xreal_0(np__1,E)
                            & r1_xreal_0(k1_nat_1(E,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),B))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,D,k1_nat_1(E,np__1)))) ) ) ) ) ) ) ) )).

fof(t30_goboard7,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(A,k3_finseq_1(C))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(C)) )
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => ~ ( r1_xreal_0(np__1,D)
                            & r1_xreal_0(k1_nat_1(D,np__1),k3_finseq_1(C))
                            & r1_xreal_0(np__1,E)
                            & r1_xreal_0(E,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,A,k1_nat_1(B,np__1)))),k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,D,E),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__1),E))) ) ) ) ) ) ) ) )).

fof(t31_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v2_goboard5(B)
            & m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
         => ~ ( r2_hidden(A,k4_finseq_1(B))
              & r2_hidden(k1_nat_1(A,np__1),k4_finseq_1(B))
              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),B,A) = k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),B,k1_nat_1(A,np__1)) ) ) ) )).

fof(t32_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ? [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
          & r2_hidden(B,k4_finseq_1(A))
          & k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)) != k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1)) ) ) )).

fof(t33_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ? [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
          & r2_hidden(B,k4_finseq_1(A))
          & k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)) != k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1)) ) ) )).

fof(t34_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(k3_goboard2(A)),np__1) ) )).

fof(t35_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k1_matrix_1(k3_goboard2(A)),np__1) ) )).

fof(t36_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ~ r1_xreal_0(k3_finseq_1(A),np__4) ) )).

fof(t37_goboard7,axiom,(
    ! [A] :
      ( ( v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ( ~ r1_xreal_0(k3_finseq_1(A),np__4)
       => ! [B] :
            ( m2_subset_1(B,k1_numbers,k5_numbers)
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ~ ( r1_xreal_0(np__1,B)
                    & ~ r1_xreal_0(C,B)
                    & ~ r1_xreal_0(k3_finseq_1(A),C)
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,C) ) ) ) ) ) )).

fof(t38_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ~ ( r1_xreal_0(np__1,B)
                  & ~ r1_xreal_0(C,B)
                  & ~ r1_xreal_0(k3_finseq_1(A),C)
                  & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,C) ) ) ) ) )).

fof(t39_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ~ ( ~ r1_xreal_0(B,np__1)
                  & ~ r1_xreal_0(C,B)
                  & r1_xreal_0(C,k3_finseq_1(A))
                  & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,C) ) ) ) ) )).

fof(t40_goboard7,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & ~ v5_seqm_3(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ( ( r1_xreal_0(B,k3_finseq_1(A))
              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,np__1) )
           => ( r1_xreal_0(B,np__1)
              | B = k3_finseq_1(A) ) ) ) ) )).

fof(t41_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,u1_struct_0(k15_euclid(np__2))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(A,k3_finseq_1(k3_goboard2(C)))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(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)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)))),k5_topreal1(np__2,C))
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & r1_xreal_0(k1_nat_1(D,np__1),k3_finseq_1(C))
                          & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))) = k4_topreal1(np__2,C,D) ) ) ) ) ) ) )).

fof(t42_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,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(k3_goboard2(C)))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(B,k1_matrix_1(k3_goboard2(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)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B))),k5_topreal1(np__2,C))
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & r1_xreal_0(k1_nat_1(D,np__1),k3_finseq_1(C))
                          & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)) = k4_topreal1(np__2,C,D) ) ) ) ) ) ) )).

fof(t43_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B) ) ) ) ) ) ) ) )).

fof(t44_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,u1_struct_0(k15_euclid(np__2))) )
                 => ( ( r1_xreal_0(np__1,A)
                      & r1_xreal_0(A,k3_finseq_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__2))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k1_matrix_1(k3_goboard2(D)),k1_nat_1(B,np__1))
                      | r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__2))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B) ) ) ) ) ) ) ) )).

fof(t45_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B) ) ) ) ) ) ) ) )).

fof(t46_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)) ) ) ) ) ) ) ) )).

fof(t47_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,u1_struct_0(k15_euclid(np__2))) )
                 => ( ( r1_xreal_0(np__1,A)
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(B,k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__2),B)) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(k3_goboard2(D)),k1_nat_1(A,np__1))
                      | r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__2),B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B) ) ) ) ) ) ) ) )).

fof(t48_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B) ) ) ) ) ) ) ) )).

fof(t49_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)) ) ) ) ) ) ) ) )).

fof(t50_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,u1_struct_0(k15_euclid(np__2))) )
                 => ( ( r1_xreal_0(np__1,A)
                      & r1_xreal_0(A,k3_finseq_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__2))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k1_matrix_1(k3_goboard2(D)),k1_nat_1(B,np__1))
                      | r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__2)) ) ) ) ) ) ) ) )).

fof(t51_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1)) ) ) ) ) ) ) ) )).

fof(t52_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B) ) ) ) ) ) ) ) )).

fof(t53_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,u1_struct_0(k15_euclid(np__2))) )
                 => ( ( r1_xreal_0(np__1,A)
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(B,k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__2),B)) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(k3_goboard2(D)),k1_nat_1(A,np__1))
                      | r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__2),B) ) ) ) ) ) ) ) )).

fof(t54_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_topreal1(D)
                    & v2_topreal1(D)
                    & v1_finseq_6(D,u1_struct_0(k15_euclid(np__2)))
                    & v1_goboard5(D)
                    & v2_goboard5(D)
                    & ~ v5_seqm_3(D)
                    & m2_finseq_1(D,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(k3_goboard2(D)))
                      & r1_xreal_0(np__1,B)
                      & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(D)))
                      & r1_xreal_0(np__1,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)) = k4_topreal1(np__2,D,C)
                      & k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1))) = k4_topreal1(np__2,D,k1_nat_1(C,np__1)) )
                   => ( r1_xreal_0(k3_finseq_1(D),k1_nat_1(C,np__1))
                      | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),A,B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),B)
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),D,k1_nat_1(C,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(D),k1_nat_1(A,np__1),k1_nat_1(B,np__1)) ) ) ) ) ) ) ) )).

fof(t55_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,u1_struct_0(k15_euclid(np__2))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & r1_xreal_0(A,k3_finseq_1(k3_goboard2(C)))
                  & r1_xreal_0(np__1,B)
                  & ~ r1_xreal_0(k1_matrix_1(k3_goboard2(C)),k1_nat_1(B,np__1))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__2))),k5_topreal1(np__2,C))
                  & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__1) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                      & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__2)) )
                        | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__2))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) )
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & ~ r1_xreal_0(k3_finseq_1(C),k1_nat_1(D,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                          & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__2)) )
                            | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__2))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) ) ) ) ) ) ) )).

fof(t56_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,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(k3_goboard2(C)))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(C)))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__1) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                      & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1)) )
                        | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) )
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & ~ r1_xreal_0(k3_finseq_1(C),k1_nat_1(D,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                          & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1)) )
                            | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) ) ) ) ) ) ) )).

fof(t57_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,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(k3_goboard2(C)))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(C)))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)),k5_topreal1(np__2,C))
                  & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__1) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                      & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B) )
                        | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)) ) ) )
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & ~ r1_xreal_0(k3_finseq_1(C),k1_nat_1(D,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                          & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B) )
                            | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)) ) ) ) ) ) ) ) ) )).

fof(t58_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,u1_struct_0(k15_euclid(np__2))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k3_finseq_1(k3_goboard2(C)),k1_nat_1(A,np__1))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(B,k1_matrix_1(k3_goboard2(C)))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__2),B)),k5_topreal1(np__2,C))
                  & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__1) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                      & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__2),B) )
                        | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__2),B)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) )
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & ~ r1_xreal_0(k3_finseq_1(C),k1_nat_1(D,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                          & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__2),B) )
                            | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__2),B)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) ) ) ) ) ) ) )).

fof(t59_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,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(k3_goboard2(C)))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(C)))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__1) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                      & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1)) )
                        | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) )
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & ~ r1_xreal_0(k3_finseq_1(C),k1_nat_1(D,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                          & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1)) )
                            | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B) ) ) ) ) ) ) ) ) )).

fof(t60_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,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(k3_goboard2(C)))
                  & r1_xreal_0(np__1,B)
                  & r1_xreal_0(k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(C)))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__1) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                      & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)) )
                        | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,np__2) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k5_binarith(k3_finseq_1(C),np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B) ) ) )
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(np__1,D)
                          & ~ r1_xreal_0(k3_finseq_1(C),k1_nat_1(D,np__1))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))
                          & ( ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)) )
                            | ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,D) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),C,k1_nat_1(D,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B) ) ) ) ) ) ) ) ) )).

fof(t61_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,u1_struct_0(k15_euclid(np__2))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k3_finseq_1(k3_goboard2(C)),A)
                  & r1_xreal_0(np__1,B)
                  & ~ r1_xreal_0(k1_matrix_1(k3_goboard2(C)),k1_nat_1(B,np__1))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__2))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))),k5_topreal1(np__2,C)) ) ) ) ) )).

fof(t62_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,u1_struct_0(k15_euclid(np__2))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k3_finseq_1(k3_goboard2(C)),A)
                  & r1_xreal_0(np__1,B)
                  & ~ r1_xreal_0(k1_matrix_1(k3_goboard2(C)),k1_nat_1(B,np__1))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__2))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),A,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(A,np__1),k1_nat_1(B,np__1))),k5_topreal1(np__2,C)) ) ) ) ) )).

fof(t63_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,u1_struct_0(k15_euclid(np__2))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k1_matrix_1(k3_goboard2(C)),A)
                  & r1_xreal_0(np__1,B)
                  & ~ r1_xreal_0(k3_finseq_1(k3_goboard2(C)),k1_nat_1(B,np__1))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),B,A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),A)),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__2),A)),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),k1_nat_1(A,np__1))),k5_topreal1(np__2,C)) ) ) ) ) )).

fof(t64_goboard7,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & v1_topreal1(C)
                & v2_topreal1(C)
                & v1_finseq_6(C,u1_struct_0(k15_euclid(np__2)))
                & v1_goboard5(C)
                & v2_goboard5(C)
                & ~ v5_seqm_3(C)
                & m2_finseq_1(C,u1_struct_0(k15_euclid(np__2))) )
             => ~ ( r1_xreal_0(np__1,A)
                  & ~ r1_xreal_0(k1_matrix_1(k3_goboard2(C)),A)
                  & r1_xreal_0(np__1,B)
                  & ~ r1_xreal_0(k3_finseq_1(k3_goboard2(C)),k1_nat_1(B,np__1))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),B,k1_nat_1(A,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),k1_nat_1(A,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),k1_nat_1(A,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__2),k1_nat_1(A,np__1))),k5_topreal1(np__2,C))
                  & r1_tarski(k3_topreal1(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),A),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(C),k1_nat_1(B,np__1),k1_nat_1(A,np__1))),k5_topreal1(np__2,C)) ) ) ) ) )).
%------------------------------------------------------------------------------