SET007 Axioms: SET007+446.ax


%------------------------------------------------------------------------------
% File     : SET007+446 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Left and Right Component of the Complement of a Closed Curve
% 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    : goboard9 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   37 (   2 unit)
%            Number of atoms       :  338 (  19 equality)
%            Maximal formula depth :   15 (   9 average)
%            Number of connectives :  359 (  58 ~  ;   1  |; 214  &)
%                                         (   2 <=>;  84 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   32 (   1 propositional; 0-3 arity)
%            Number of functors    :   31 (   5 constant; 0-3 arity)
%            Number of variables   :   74 (   0 singleton;  72 !;   2 ?)
%            Maximal term depth    :    5 (   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(rc1_goboard9,axiom,(
    ? [A] :
      ( m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2))))
      & ~ v1_xboole_0(A)
      & v1_jordan1(A,np__2) ) )).

fof(rc2_goboard9,axiom,(
    ? [A] :
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & ~ v5_seqm_3(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) )).

fof(fc1_goboard9,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & ~ v5_seqm_3(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(k3_finseq_5(A))
        & v1_funct_1(k3_finseq_5(A))
        & ~ v5_seqm_3(k3_finseq_5(A))
        & v1_finset_1(k3_finseq_5(A))
        & v1_finseq_1(k3_finseq_5(A)) ) ) )).

fof(t1_goboard9,axiom,(
    $true )).

fof(t2_goboard9,axiom,(
    $true )).

fof(t3_goboard9,axiom,(
    ! [A] :
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ~ ( r4_connsp_1(A,D,B)
                      & r4_connsp_1(A,D,C)
                      & B != C
                      & ~ r1_xboole_0(B,C) ) ) ) ) ) )).

fof(t4_goboard9,axiom,(
    ! [A] :
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,C))))
                 => ( B = D
                   => k3_pre_topc(A,B) = k3_pre_topc(k3_pre_topc(A,C),D) ) ) ) ) ) )).

fof(t5_goboard9,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
             => ~ ( r1_tarski(B,C)
                  & v2_connsp_1(B,A)
                  & ! [D] :
                      ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                     => ~ ( r4_connsp_1(A,C,D)
                          & r1_tarski(B,D) ) ) ) ) ) ) )).

fof(t6_goboard9,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] :
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] :
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ! [E] :
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                     => ( ( v2_connsp_1(C,A)
                          & r4_connsp_1(A,E,D)
                          & r1_tarski(B,D)
                          & r1_tarski(C,E) )
                       => ( r1_xboole_0(B,C)
                          | r1_tarski(C,D) ) ) ) ) ) ) ) )).

fof(t7_goboard9,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)))
         => v1_jordan1(k3_topreal1(np__2,A,B),np__2) ) ) )).

fof(t8_goboard9,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)))
         => v2_connsp_1(k3_topreal1(np__2,A,B),k15_euclid(np__2)) ) ) )).

fof(t9_goboard9,axiom,(
    ! [A] :
      ( ( v1_jordan1(A,np__2)
        & m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
     => ! [B] :
          ( ( v1_jordan1(B,np__2)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) )
         => v1_jordan1(k5_subset_1(u1_struct_0(k15_euclid(np__2)),A,B),np__2) ) ) )).

fof(t10_goboard9,axiom,(
    ! [A] :
      ( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
     => k4_finseq_5(k1_numbers,k2_goboard1(A)) = k2_goboard1(k4_finseq_5(u1_struct_0(k15_euclid(np__2)),A)) ) )).

fof(t11_goboard9,axiom,(
    ! [A] :
      ( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
     => k4_finseq_5(k1_numbers,k3_goboard1(A)) = k3_goboard1(k4_finseq_5(u1_struct_0(k15_euclid(np__2)),A)) ) )).

fof(t12_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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(np__1,C)
                  & k1_nat_1(B,C) = k3_finseq_1(A) )
               => k5_goboard5(A,B) = k4_goboard5(k1_goboard9(A),C) ) ) ) ) )).

fof(t13_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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(np__1,C)
                  & k1_nat_1(B,C) = k3_finseq_1(A) )
               => k5_goboard5(k1_goboard9(A),B) = k4_goboard5(A,C) ) ) ) ) )).

fof(t14_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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__1),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(C,k3_finseq_1(k3_goboard2(A)))
                          & r1_xreal_0(D,k1_matrix_1(k3_goboard2(A)))
                          & k3_goboard5(k3_goboard2(A),C,D) = k5_goboard5(A,B) ) ) ) ) ) ) )).

fof(t15_goboard9,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(A,k1_matrix_1(B))
           => v1_jordan1(k1_tops_1(k15_euclid(np__2),k2_goboard5(B,A)),np__2) ) ) ) )).

fof(t16_goboard9,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v3_relat_1(B)
            & v1_matrix_1(B)
            & v3_goboard1(B)
            & v4_goboard1(B)
            & v5_goboard1(B)
            & v6_goboard1(B)
            & m2_finseq_1(B,k3_finseq_2(u1_struct_0(k15_euclid(np__2)))) )
         => ( r1_xreal_0(A,k3_finseq_1(B))
           => v1_jordan1(k1_tops_1(k15_euclid(np__2),k1_goboard5(B,A)),np__2) ) ) ) )).

fof(t17_goboard9,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(A,k3_finseq_1(C))
                  & r1_xreal_0(B,k1_matrix_1(C))
                  & k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)) = k1_xboole_0 ) ) ) ) )).

fof(t18_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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__1),k3_finseq_1(A))
              & k1_tops_1(k15_euclid(np__2),k5_goboard5(A,B)) = k1_xboole_0 ) ) ) )).

fof(t19_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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__1),k3_finseq_1(A))
              & k1_tops_1(k15_euclid(np__2),k4_goboard5(A,B)) = k1_xboole_0 ) ) ) )).

fof(t20_goboard9,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(A,k3_finseq_1(C))
                  & r1_xreal_0(B,k1_matrix_1(C)) )
               => v1_jordan1(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)),np__2) ) ) ) ) )).

fof(t21_goboard9,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(A,k3_finseq_1(C))
                  & r1_xreal_0(B,k1_matrix_1(C)) )
               => v2_connsp_1(k1_tops_1(k15_euclid(np__2),k3_goboard5(C,A,B)),k15_euclid(np__2)) ) ) ) ) )).

fof(t22_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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__1),k3_finseq_1(A)) )
           => v2_connsp_1(k1_tops_1(k15_euclid(np__2),k5_goboard5(A,B)),k15_euclid(np__2)) ) ) ) )).

fof(t23_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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__1),k3_finseq_1(A)) )
           => v2_connsp_1(k1_tops_1(k15_euclid(np__2),k4_goboard5(A,B)),k15_euclid(np__2)) ) ) ) )).

fof(d1_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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))))
         => ( B = k2_goboard9(A)
          <=> ( r4_connsp_1(k15_euclid(np__2),k3_subset_1(u1_struct_0(k15_euclid(np__2)),k5_topreal1(np__2,A)),B)
              & r1_tarski(k1_tops_1(k15_euclid(np__2),k5_goboard5(A,np__1)),B) ) ) ) ) )).

fof(d2_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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))))
         => ( B = k3_goboard9(A)
          <=> ( r4_connsp_1(k15_euclid(np__2),k3_subset_1(u1_struct_0(k15_euclid(np__2)),k5_topreal1(np__2,A)),B)
              & r1_tarski(k1_tops_1(k15_euclid(np__2),k4_goboard5(A,np__1)),B) ) ) ) ) )).

fof(t24_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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__1),k3_finseq_1(A)) )
           => r1_tarski(k1_tops_1(k15_euclid(np__2),k5_goboard5(A,B)),k2_goboard9(A)) ) ) ) )).

fof(t25_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => k3_goboard2(k1_goboard9(A)) = k3_goboard2(A) ) )).

fof(t26_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => k3_goboard9(A) = k2_goboard9(k1_goboard9(A)) ) )).

fof(t27_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => k3_goboard9(k1_goboard9(A)) = k2_goboard9(A) ) )).

fof(t28_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(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__1),k3_finseq_1(A)) )
           => r1_tarski(k1_tops_1(k15_euclid(np__2),k4_goboard5(A,B)),k3_goboard9(A)) ) ) ) )).

fof(dt_k1_goboard9,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)
        & m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => ( ~ v1_xboole_0(k1_goboard9(A))
        & v1_topreal1(k1_goboard9(A))
        & v2_topreal1(k1_goboard9(A))
        & v1_finseq_6(k1_goboard9(A),u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(k1_goboard9(A))
        & v2_goboard5(k1_goboard9(A))
        & m2_finseq_1(k1_goboard9(A),u1_struct_0(k15_euclid(np__2))) ) ) )).

fof(redefinition_k1_goboard9,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)
        & m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => k1_goboard9(A) = k3_finseq_5(A) ) )).

fof(dt_k2_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => m1_subset_1(k2_goboard9(A),k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) ) )).

fof(dt_k3_goboard9,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & ~ v5_seqm_3(A)
        & v1_topreal1(A)
        & v2_topreal1(A)
        & v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
        & v1_goboard5(A)
        & v2_goboard5(A)
        & m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
     => m1_subset_1(k3_goboard9(A),k1_zfmisc_1(u1_struct_0(k15_euclid(np__2)))) ) )).
%------------------------------------------------------------------------------