SET007 Axioms: SET007+444.ax


%------------------------------------------------------------------------------
% File     : SET007+444 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : More on Segments on 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    : goboard8 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   38 (   0 unit)
%            Number of atoms       :  632 ( 100 equality)
%            Maximal formula depth :   15 (  13 average)
%            Number of connectives :  714 ( 120 ~  ;  20  |; 420  &)
%                                         (   0 <=>; 154 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   14 (   0 propositional; 1-3 arity)
%            Number of functors    :   28 (   5 constant; 0-4 arity)
%            Number of variables   :  104 (   0 singleton; 104 !;   0 ?)
%            Maximal term depth    :    9 (   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_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__1),k3_finseq_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k1_matrix_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),D)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),D)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2)) ) )
                        | 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)),k3_goboard2(A),C,D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,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)),k3_goboard2(A),C,k1_nat_1(D,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t2_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k1_matrix_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2)) ) )
                        | 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)),k3_goboard2(A),C,D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,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)),k3_goboard2(A),C,k1_nat_1(D,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t3_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k1_matrix_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),D) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__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)),k3_goboard2(A),C,D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,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)),k3_goboard2(A),C,k1_nat_1(D,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t4_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__1),k3_finseq_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k1_matrix_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,D)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__2)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,D)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__2)) ) )
                        | 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)),k3_goboard2(A),C,D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,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)),k3_goboard2(A),C,k1_nat_1(D,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t5_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k1_matrix_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__2)) ) )
                        | 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)),k3_goboard2(A),k1_nat_1(C,np__1),D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,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)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t6_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k1_matrix_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),D) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__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)),k3_goboard2(A),k1_nat_1(C,np__1),D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,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)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t7_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),np__1) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),np__1)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),np__2) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),np__1)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),np__2) ) )
                    | 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)),k3_goboard2(A),C,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,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)),k3_goboard2(A),C,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),np__2)))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t8_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),np__1) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,np__1)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),np__2) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,np__1)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),np__2) ) )
                    | 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)),k3_goboard2(A),k1_nat_1(C,np__1),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),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)),k3_goboard2(A),k1_nat_1(C,np__1),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),np__2)))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t9_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_matrix_1(k3_goboard2(A))) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)) ) )
                    | 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)),k3_goboard2(A),C,k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_matrix_1(k3_goboard2(A))))),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)),k3_goboard2(A),C,k1_matrix_1(k3_goboard2(A))),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_matrix_1(k3_goboard2(A))))),k23_euclid(np__0,np__1))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t10_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_matrix_1(k3_goboard2(A))) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_matrix_1(k3_goboard2(A)))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_matrix_1(k3_goboard2(A)))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)) ) )
                    | 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)),k3_goboard2(A),k1_nat_1(C,np__1),k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A))))),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)),k3_goboard2(A),k1_nat_1(C,np__1),k1_matrix_1(k3_goboard2(A))),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A))))),k23_euclid(np__0,np__1))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t11_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__1),k1_matrix_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k3_finseq_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__1)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_nat_1(D,np__1))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__1)) ) )
                        | 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)),k3_goboard2(A),C,D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__1),k1_nat_1(D,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)),k3_goboard2(A),k1_nat_1(C,np__1),D),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(C,np__2),k1_nat_1(D,np__1))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t12_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k3_finseq_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__2))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__1)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__2))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__1)) ) )
                        | 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)),k3_goboard2(A),D,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,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)),k3_goboard2(A),k1_nat_1(D,np__1),C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__1))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t13_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k3_finseq_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__2))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,k1_nat_1(C,np__1)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__2))
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,k1_nat_1(C,np__1)) ) )
                        | 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)),k3_goboard2(A),D,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,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)),k3_goboard2(A),k1_nat_1(D,np__1),C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__1))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t14_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__1),k1_matrix_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k3_finseq_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),C) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,C)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),C) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,C)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),C) ) )
                        | 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)),k3_goboard2(A),D,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,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)),k3_goboard2(A),k1_nat_1(D,np__1),C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__1))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t15_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k3_finseq_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),C)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__1)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),C)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__1)) ) )
                        | 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)),k3_goboard2(A),D,k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,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)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t16_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,C)
                        & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                        & r1_xreal_0(np__1,D)
                        & r1_xreal_0(k1_nat_1(D,np__2),k3_finseq_1(k3_goboard2(A)))
                        & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__1)) )
                     => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),C)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,k1_nat_1(C,np__1)) )
                          & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),C)
                              & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,k1_nat_1(C,np__1)) ) )
                        | 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)),k3_goboard2(A),D,k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,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)),k3_goboard2(A),k1_nat_1(D,np__1),k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(D,np__2),k1_nat_1(C,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) ) )).

fof(t17_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(C,np__1)) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(C,np__2))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,k1_nat_1(C,np__1)) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(C,np__2))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,k1_nat_1(C,np__1)) ) )
                    | 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)),k3_goboard2(A),np__1,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(C,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)),k3_goboard2(A),np__1,C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,k1_nat_1(C,np__1))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t18_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(C,np__1)) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,C)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,k1_nat_1(C,np__1)) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,C)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,k1_nat_1(C,np__1)) ) )
                    | 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)),k3_goboard2(A),np__1,k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(C,np__2)))),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)),k3_goboard2(A),np__1,k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,k1_nat_1(C,np__2))))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t19_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,np__1)) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,np__2))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),k1_nat_1(C,np__1)) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,np__2))
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),k1_nat_1(C,np__1)) ) )
                    | 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)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,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)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),C),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,np__1)))),k23_euclid(np__1,np__0))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t20_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(A)) )
           => ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ( ( r1_xreal_0(np__1,C)
                    & r1_xreal_0(k1_nat_1(C,np__2),k1_matrix_1(k3_goboard2(A)))
                    & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__1)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,np__1)) )
                 => ( ( ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),C)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),k1_nat_1(C,np__1)) )
                      & ~ ( k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,k1_nat_1(B,np__2)) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),C)
                          & k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),k1_nat_1(C,np__1)) ) )
                    | 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)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,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)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(C,np__2)))),k23_euclid(np__1,np__0))),k5_topreal1(np__2,A)) ) ) ) ) ) ) )).

fof(t21_goboard8,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => ~ ( r2_hidden(C,B)
                    & r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,np__1)),k21_euclid(C)) ) )
           => r1_xboole_0(B,k5_topreal1(np__2,A)) ) ) ) )).

fof(t22_goboard8,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => ~ ( r2_hidden(C,B)
                    & r1_xreal_0(k21_euclid(C),k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),np__1))) ) )
           => r1_xboole_0(B,k5_topreal1(np__2,A)) ) ) ) )).

fof(t23_goboard8,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => ~ ( r2_hidden(C,B)
                    & r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,np__1)),k22_euclid(C)) ) )
           => r1_xboole_0(B,k5_topreal1(np__2,A)) ) ) ) )).

fof(t24_goboard8,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] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
         => ( ! [C] :
                ( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
               => ~ ( r2_hidden(C,B)
                    & r1_xreal_0(k22_euclid(C),k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_matrix_1(k3_goboard2(A))))) ) )
           => r1_xboole_0(B,k5_topreal1(np__2,A)) ) ) ) )).

fof(t25_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(k3_goboard2(A))) )
           => 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)),k3_goboard2(A),B,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(B,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)),k3_goboard2(A),k1_nat_1(B,np__1),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(B,np__2),np__1))),k23_euclid(np__0,np__1))),k5_topreal1(np__2,A)) ) ) ) )).

fof(t26_goboard8,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_xboole_0(k3_topreal1(np__2,k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(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)),k3_goboard2(A),np__1,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,np__1))),k23_euclid(np__0,np__1))),k5_topreal1(np__2,A)) ) )).

fof(t27_goboard8,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_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)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),np__1))),k23_euclid(np__0,np__1)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),np__1),k23_euclid(np__1,k1_real_1(np__1)))),k5_topreal1(np__2,A)) ) )).

fof(t28_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k3_finseq_1(k3_goboard2(A))) )
           => r1_xboole_0(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)),k3_goboard2(A),B,k1_matrix_1(k3_goboard2(A))),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(A))))),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)),k3_goboard2(A),k1_nat_1(B,np__1),k1_matrix_1(k3_goboard2(A))),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k1_nat_1(B,np__2),k1_matrix_1(k3_goboard2(A))))),k23_euclid(np__0,np__1))),k5_topreal1(np__2,A)) ) ) ) )).

fof(t29_goboard8,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_xboole_0(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_matrix_1(k3_goboard2(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)),k3_goboard2(A),np__1,k1_matrix_1(k3_goboard2(A))),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__2,k1_matrix_1(k3_goboard2(A))))),k23_euclid(np__0,np__1))),k5_topreal1(np__2,A)) ) )).

fof(t30_goboard8,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_xboole_0(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)),k3_goboard2(A),k5_binarith(k3_finseq_1(k3_goboard2(A)),np__1),k1_matrix_1(k3_goboard2(A))),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_matrix_1(k3_goboard2(A))))),k23_euclid(np__0,np__1)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_matrix_1(k3_goboard2(A))),k23_euclid(np__1,np__1))),k5_topreal1(np__2,A)) ) )).

fof(t31_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k1_matrix_1(k3_goboard2(A))) )
           => 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)),k3_goboard2(A),np__1,B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(B,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)),k3_goboard2(A),np__1,k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_nat_1(B,np__2)))),k23_euclid(np__1,np__0))),k5_topreal1(np__2,A)) ) ) ) )).

fof(t32_goboard8,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_xboole_0(k3_topreal1(np__2,k20_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(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)),k3_goboard2(A),np__1,np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,np__2))),k23_euclid(np__1,np__0))),k5_topreal1(np__2,A)) ) )).

fof(t33_goboard8,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_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)),k3_goboard2(A),np__1,k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_matrix_1(k3_goboard2(A))))),k23_euclid(np__1,np__0)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_matrix_1(k3_goboard2(A))),k23_euclid(k1_real_1(np__1),np__1))),k5_topreal1(np__2,A)) ) )).

fof(t34_goboard8,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(np__1,B)
              & r1_xreal_0(k1_nat_1(B,np__2),k1_matrix_1(k3_goboard2(A))) )
           => r1_xboole_0(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)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),B),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(B,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)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(B,np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_nat_1(B,np__2)))),k23_euclid(np__1,np__0))),k5_topreal1(np__2,A)) ) ) ) )).

fof(t35_goboard8,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_xboole_0(k3_topreal1(np__2,k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(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)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),np__1),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),np__2))),k23_euclid(np__1,np__0))),k5_topreal1(np__2,A)) ) )).

fof(t36_goboard8,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_xboole_0(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)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k5_binarith(k1_matrix_1(k3_goboard2(A)),np__1)),k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_matrix_1(k3_goboard2(A))))),k23_euclid(np__1,np__0)),k17_euclid(np__2,k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),k1_matrix_1(k3_goboard2(A))),k23_euclid(np__1,np__1))),k5_topreal1(np__2,A)) ) )).

fof(t37_goboard8,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_topreal1(B)
            & v2_topreal1(B)
            & v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
            & v1_goboard5(B)
            & v2_goboard5(B)
            & ~ v5_seqm_3(B)
            & m2_finseq_1(B,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)) )
           => r1_xboole_0(k1_tops_1(k15_euclid(np__2),k5_goboard5(B,A)),k5_topreal1(np__2,B)) ) ) ) )).

fof(t38_goboard8,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_topreal1(B)
            & v2_topreal1(B)
            & v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
            & v1_goboard5(B)
            & v2_goboard5(B)
            & ~ v5_seqm_3(B)
            & m2_finseq_1(B,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)) )
           => r1_xboole_0(k1_tops_1(k15_euclid(np__2),k4_goboard5(B,A)),k5_topreal1(np__2,B)) ) ) ) )).
%------------------------------------------------------------------------------