% Mizar problem: t13_dirort,dirort,430,59 
fof(t13_dirort,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_dirort(A)
        & l1_analoaf(A) )
     => ( v2_dirort(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ( ( r2_analoaf(A,B,C,E,F)
                                    & r2_dirort(A,E,F,D,G) )
                                 => ( E = F
                                    | r2_analoaf(A,B,C,D,G) ) ) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[d3_dirort,d4_dirort,dt_l1_analoaf,dt_l1_struct_0,dt_m1_subset_1,dt_u1_struct_0,existence_l1_analoaf,existence_l1_struct_0,existence_m1_subset_1,rc1_dirort]),
    [file(dirort,t13_dirort)]).

fof(d3_dirort,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_dirort(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ( r2_dirort(A,B,C,D,E)
                      <=> ? [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                            & ? [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                                & F != G
                                & r2_analoaf(A,F,G,B,C)
                                & r2_analoaf(A,F,G,D,E) ) ) ) ) ) ) ) ) ),
    file(dirort,d3_dirort),
    []).

fof(d4_dirort,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_dirort(A)
        & l1_analoaf(A) )
     => ( v2_dirort(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ! [H] : 
                                    ( m1_subset_1(H,u1_struct_0(A))
                                   => ! [I] : 
                                        ( m1_subset_1(I,u1_struct_0(A))
                                       => ~ ( r2_analoaf(A,B,C,E,F)
                                            & r2_analoaf(A,H,I,E,F)
                                            & r2_analoaf(A,H,I,D,G)
                                            & H != I
                                            & E != F
                                            & ~ r2_analoaf(A,B,C,D,G) ) ) ) ) ) ) ) ) ) ) ) ),
    file(dirort,d4_dirort),
    []).

fof(dt_l1_analoaf,axiom,(
    ! [A] : 
      ( l1_analoaf(A)
     => l1_struct_0(A) ) ),
    file(analoaf,l1_analoaf),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(existence_l1_analoaf,axiom,(
    ? [A] : l1_analoaf(A) ),
    file(analoaf,l1_analoaf),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(rc1_dirort,axiom,(
    ? [A] : 
      ( l1_analoaf(A)
      & ~ v3_struct_0(A)
      & v1_dirort(A) ) ),
    file(dirort,rc1_dirort),
    []).