% Mizar problem: t136_zfmisc_1,zfmisc_1,1789,59 
fof(t136_zfmisc_1,conjecture,(
    ! [A] : 
    ? [B] : 
      ( r2_hidden(A,B)
      & ! [C,D] : 
          ( ( r2_hidden(C,B)
            & r1_tarski(D,C) )
         => r2_hidden(D,B) )
      & ! [C] : 
          ( r2_hidden(C,B)
         => r2_hidden(k1_zfmisc_1(C),B) )
      & ! [C] : ~ ( r1_tarski(C,B)
          & ~ r2_tarski(C,B)
          & ~ r2_hidden(C,B) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,d1_zfmisc_1,d3_tarski,dt_k1_zfmisc_1,reflexivity_r1_tarski,t9_tarski]),
    [file(zfmisc_1,t136_zfmisc_1)]).

fof(antisymmetry_r2_hidden,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    []).

fof(d1_zfmisc_1,axiom,(
    ! [A,B] : 
      ( B = k1_zfmisc_1(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> r1_tarski(C,A) ) ) ),
    file(zfmisc_1,d1_zfmisc_1),
    []).

fof(d3_tarski,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(t9_tarski,axiom,(
    ! [A] : 
    ? [B] : 
      ( r2_hidden(A,B)
      & ! [C,D] : 
          ( ( r2_hidden(C,B)
            & r1_tarski(D,C) )
         => r2_hidden(D,B) )
      & ! [C] : ~ ( r2_hidden(C,B)
          & ! [D] : ~ ( r2_hidden(D,B)
              & ! [E] : 
                  ( r1_tarski(E,C)
                 => r2_hidden(E,D) ) ) )
      & ! [C] : ~ ( r1_tarski(C,B)
          & ~ r2_tarski(C,B)
          & ~ r2_hidden(C,B) ) ) ),
    file(tarski,t9_tarski),
    []).