% Mizar problem: t28_zfmisc_1,zfmisc_1,470,45 
fof(t28_zfmisc_1,conjecture,(
    ! [A,B,C,D] : ~ ( r1_tarski(k2_tarski(A,B),k2_tarski(C,D))
      & A != C
      & A != D ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,commutativity_k2_tarski,d1_xboole_0,d2_tarski,dt_k1_tarski,dt_k1_xboole_0,dt_k2_tarski,fc1_xboole_0,l46_zfmisc_1,rc1_xboole_0,rc2_xboole_0,reflexivity_r1_tarski,t10_zfmisc_1,t8_zfmisc_1]),
    [file(zfmisc_1,t28_zfmisc_1)]).

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

fof(commutativity_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

fof(d1_xboole_0,axiom,(
    ! [A] : 
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ) ),
    file(xboole_0,d1_xboole_0),
    []).

fof(d2_tarski,axiom,(
    ! [A,B,C] : 
      ( C = k2_tarski(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( D = A
            | D = B ) ) ) ),
    file(tarski,d2_tarski),
    []).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    []).

fof(fc1_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(l46_zfmisc_1,axiom,(
    ! [A,B,C] : 
      ( r1_tarski(A,k2_tarski(B,C))
    <=> ~ ( A != k1_xboole_0
          & A != k1_tarski(B)
          & A != k1_tarski(C)
          & A != k2_tarski(B,C) ) ) ),
    file(zfmisc_1,l46_zfmisc_1),
    []).

fof(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

fof(rc2_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

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

fof(t10_zfmisc_1,axiom,(
    ! [A,B,C,D] : ~ ( k2_tarski(A,B) = k2_tarski(C,D)
      & A != C
      & A != D ) ),
    file(zfmisc_1,t10_zfmisc_1),
    []).

fof(t8_zfmisc_1,axiom,(
    ! [A,B,C] : 
      ( k1_tarski(A) = k2_tarski(B,C)
     => A = B ) ),
    file(zfmisc_1,t8_zfmisc_1),
    []).