% Mizar problem: t37_semi_af1,semi_af1,243,12 
fof(t37_semi_af1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_semi_af1(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))
                 => ( r1_semi_af1(A,B,C,D)
                   => ( r1_semi_af1(A,B,D,C)
                      & r1_semi_af1(A,C,B,D)
                      & r1_semi_af1(A,C,D,B)
                      & r1_semi_af1(A,D,B,C)
                      & r1_semi_af1(A,D,C,B) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[d2_semi_af1,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_semi_af1,t18_semi_af1]),
    [file(semi_af1,t37_semi_af1)]).

fof(d2_semi_af1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_semi_af1(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))
                 => ( r1_semi_af1(A,B,C,D)
                  <=> r2_analoaf(A,B,C,B,D) ) ) ) ) ) ),
    file(semi_af1,d2_semi_af1),
    []).

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_semi_af1,axiom,(
    ? [A] : 
      ( l1_analoaf(A)
      & ~ v3_struct_0(A)
      & v1_semi_af1(A) ) ),
    file(semi_af1,rc1_semi_af1),
    []).

fof(t18_semi_af1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_semi_af1(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))
                 => ( r2_analoaf(A,B,C,B,D)
                   => ( r2_analoaf(A,B,D,B,C)
                      & r2_analoaf(A,C,B,B,D)
                      & r2_analoaf(A,B,C,D,B)
                      & r2_analoaf(A,B,D,C,B)
                      & r2_analoaf(A,C,B,D,B)
                      & r2_analoaf(A,D,B,B,C)
                      & r2_analoaf(A,D,B,C,B)
                      & r2_analoaf(A,C,B,C,D)
                      & r2_analoaf(A,B,C,C,D)
                      & r2_analoaf(A,C,B,D,C)
                      & r2_analoaf(A,C,D,C,B)
                      & r2_analoaf(A,B,C,D,C)
                      & r2_analoaf(A,D,C,C,B)
                      & r2_analoaf(A,C,D,B,C)
                      & r2_analoaf(A,D,C,B,C)
                      & r2_analoaf(A,D,B,D,C)
                      & r2_analoaf(A,B,D,D,C)
                      & r2_analoaf(A,D,B,C,D)
                      & r2_analoaf(A,B,D,C,D)
                      & r2_analoaf(A,D,C,D,B)
                      & r2_analoaf(A,C,D,D,B)
                      & r2_analoaf(A,D,C,B,D)
                      & r2_analoaf(A,C,D,B,D) ) ) ) ) ) ) ),
    file(semi_af1,t18_semi_af1),
    []).