% Mizar ND problem: t2_grcat_1,grcat_1,38,64 
fof(dh_c1_1__grcat_1,definition,
    ( ! [A,B,C] : 
        ~ ( r2_hidden(C,B)
          & r1_tarski(B,k2_zfmisc_1(c1_1__grcat_1,A))
          & ! [D] : 
              ( m1_subset_1(D,c1_1__grcat_1)
             => ! [E] : 
                  ( m1_subset_1(E,A)
                 => C != k4_tarski(D,E) ) ) )
   => ! [F,G,H,I] : 
        ~ ( r2_hidden(I,H)
          & r1_tarski(H,k2_zfmisc_1(F,G))
          & ! [J] : 
              ( m1_subset_1(J,F)
             => ! [K] : 
                  ( m1_subset_1(K,G)
                 => I != k4_tarski(J,K) ) ) ) ),
    introduced(definition,[new_symbol(c1_1__grcat_1),file(grcat_1,c1_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c1_1__grcat_1)]).

fof(dh_c2_1__grcat_1,definition,
    ( ! [A,B] : 
        ~ ( r2_hidden(B,A)
          & r1_tarski(A,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
          & ! [C] : 
              ( m1_subset_1(C,c1_1__grcat_1)
             => ! [D] : 
                  ( m1_subset_1(D,c2_1__grcat_1)
                 => B != k4_tarski(C,D) ) ) )
   => ! [E,F,G] : 
        ~ ( r2_hidden(G,F)
          & r1_tarski(F,k2_zfmisc_1(c1_1__grcat_1,E))
          & ! [H] : 
              ( m1_subset_1(H,c1_1__grcat_1)
             => ! [I] : 
                  ( m1_subset_1(I,E)
                 => G != k4_tarski(H,I) ) ) ) ),
    introduced(definition,[new_symbol(c2_1__grcat_1),file(grcat_1,c2_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c2_1__grcat_1)]).

fof(dh_c3_1__grcat_1,definition,
    ( ! [A] : 
        ~ ( r2_hidden(A,c3_1__grcat_1)
          & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
          & ! [B] : 
              ( m1_subset_1(B,c1_1__grcat_1)
             => ! [C] : 
                  ( m1_subset_1(C,c2_1__grcat_1)
                 => A != k4_tarski(B,C) ) ) )
   => ! [D,E] : 
        ~ ( r2_hidden(E,D)
          & r1_tarski(D,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
          & ! [F] : 
              ( m1_subset_1(F,c1_1__grcat_1)
             => ! [G] : 
                  ( m1_subset_1(G,c2_1__grcat_1)
                 => E != k4_tarski(F,G) ) ) ) ),
    introduced(definition,[new_symbol(c3_1__grcat_1),file(grcat_1,c3_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c3_1__grcat_1)]).

fof(dh_c4_1__grcat_1,definition,
    ( ~ ( r2_hidden(c4_1__grcat_1,c3_1__grcat_1)
        & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
        & ! [A] : 
            ( m1_subset_1(A,c1_1__grcat_1)
           => ! [B] : 
                ( m1_subset_1(B,c2_1__grcat_1)
               => c4_1__grcat_1 != k4_tarski(A,B) ) ) )
   => ! [C] : 
        ~ ( r2_hidden(C,c3_1__grcat_1)
          & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
          & ! [D] : 
              ( m1_subset_1(D,c1_1__grcat_1)
             => ! [E] : 
                  ( m1_subset_1(E,c2_1__grcat_1)
                 => C != k4_tarski(D,E) ) ) ) ),
    introduced(definition,[new_symbol(c4_1__grcat_1),file(grcat_1,c4_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c4_1__grcat_1)]).

fof(e1_1__grcat_1,assumption,
    ( r2_hidden(c4_1__grcat_1,c3_1__grcat_1)
    & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1)) ),
    introduced(assumption,[file(grcat_1,e1_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,e1_1__grcat_1)]).

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    [interesting(0.9),axiom,file(tarski,k4_tarski)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dt_c1_1__grcat_1,assumption,(
    $true ),
    introduced(assumption,[file(grcat_1,c1_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c1_1__grcat_1)]).

fof(dt_c2_1__grcat_1,assumption,(
    $true ),
    introduced(assumption,[file(grcat_1,c2_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c2_1__grcat_1)]).

fof(dt_c4_1__grcat_1,assumption,(
    $true ),
    introduced(assumption,[file(grcat_1,c4_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c4_1__grcat_1)]).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dh_c5_1__grcat_1,definition,
    ( ? [A,B] : 
        ( r2_hidden(A,c1_1__grcat_1)
        & r2_hidden(B,c2_1__grcat_1)
        & c4_1__grcat_1 = k4_tarski(A,B) )
   => ? [C] : 
        ( r2_hidden(c5_1__grcat_1,c1_1__grcat_1)
        & r2_hidden(C,c2_1__grcat_1)
        & c4_1__grcat_1 = k4_tarski(c5_1__grcat_1,C) ) ),
    introduced(definition,[new_symbol(c5_1__grcat_1),file(grcat_1,c5_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c5_1__grcat_1)]).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(fc1_xboole_0,theorem,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,fc1_xboole_0)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

fof(cc1_relset_1,theorem,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    [interesting(0.9),axiom,file(relset_1,cc1_relset_1)]).

fof(fc1_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc1_subset_1)]).

fof(fc4_subset_1,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc4_subset_1)]).

fof(rc1_subset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc1_subset_1)]).

fof(rc1_xboole_0,theorem,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc1_xboole_0)]).

fof(rc2_subset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]).

fof(rc2_xboole_0,theorem,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc2_xboole_0)]).

fof(t2_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    [interesting(0.9),axiom,file(subset,t2_subset)]).

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

fof(reflexivity_r1_tarski,theorem,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    [interesting(0.9),axiom,file(tarski,r1_tarski)]).

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k2_zfmisc_1)]).

fof(dt_c3_1__grcat_1,assumption,(
    $true ),
    introduced(assumption,[file(grcat_1,c3_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c3_1__grcat_1)]).

fof(t1_subset,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    [interesting(0.9),axiom,file(subset,t1_subset)]).

fof(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(t103_zfmisc_1,theorem,(
    ! [A,B,C,D] : 
      ~ ( r1_tarski(A,k2_zfmisc_1(B,C))
        & r2_hidden(D,A)
        & ! [E,F] : 
            ~ ( r2_hidden(E,B)
              & r2_hidden(F,C)
              & D = k4_tarski(E,F) ) ) ),
    file(zfmisc_1,t103_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,t103_zfmisc_1)]).

fof(e2_1__grcat_1,plain,(
    ? [A,B] : 
      ( r2_hidden(A,c1_1__grcat_1)
      & r2_hidden(B,c2_1__grcat_1)
      & c4_1__grcat_1 = k4_tarski(A,B) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_relset_1,fc1_subset_1,fc4_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t4_subset,t5_subset,t6_boole,t8_boole,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k2_zfmisc_1,dt_k4_tarski,dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,t1_subset,t3_subset,t7_boole,e1_1__grcat_1,t103_zfmisc_1]),
    [interesting(0.8),file(grcat_1,e2_1__grcat_1),[file(grcat_1,e2_1__grcat_1)]]).

fof(dt_c5_1__grcat_1,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dh_c5_1__grcat_1,e2_1__grcat_1]),
    [interesting(0.8),file(grcat_1,c5_1__grcat_1),[file(grcat_1,c5_1__grcat_1)]]).

fof(de_c7_1__grcat_1,definition,(
    c7_1__grcat_1 = c5_1__grcat_1 ),
    introduced(definition,[new_symbol(c7_1__grcat_1),file(grcat_1,c7_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c7_1__grcat_1)]).

fof(dh_c6_1__grcat_1,definition,
    ( ? [A] : 
        ( r2_hidden(c5_1__grcat_1,c1_1__grcat_1)
        & r2_hidden(A,c2_1__grcat_1)
        & c4_1__grcat_1 = k4_tarski(c5_1__grcat_1,A) )
   => ( r2_hidden(c5_1__grcat_1,c1_1__grcat_1)
      & r2_hidden(c6_1__grcat_1,c2_1__grcat_1)
      & c4_1__grcat_1 = k4_tarski(c5_1__grcat_1,c6_1__grcat_1) ) ),
    introduced(definition,[new_symbol(c6_1__grcat_1),file(grcat_1,c6_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c6_1__grcat_1)]).

fof(dt_c6_1__grcat_1,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dh_c5_1__grcat_1,dh_c6_1__grcat_1,e2_1__grcat_1]),
    [interesting(0.8),file(grcat_1,c6_1__grcat_1),[file(grcat_1,c6_1__grcat_1)]]).

fof(e3_1__grcat_1,plain,
    ( r2_hidden(c5_1__grcat_1,c1_1__grcat_1)
    & r2_hidden(c6_1__grcat_1,c2_1__grcat_1)
    & c4_1__grcat_1 = k4_tarski(c5_1__grcat_1,c6_1__grcat_1) ),
    inference(consider,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dh_c5_1__grcat_1,dh_c6_1__grcat_1,e2_1__grcat_1]),
    [interesting(0.8),file(grcat_1,e3_1__grcat_1),[file(grcat_1,e3_1__grcat_1)]]).

fof(e4_1__grcat_1,plain,(
    m1_subset_1(c5_1__grcat_1,c1_1__grcat_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dt_k1_xboole_0,fc1_xboole_0,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,existence_m1_subset_1,dt_k4_tarski,dt_m1_subset_1,dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c4_1__grcat_1,dt_c5_1__grcat_1,dt_c6_1__grcat_1,t1_subset,t7_boole,e3_1__grcat_1]),
    [interesting(0.8),file(grcat_1,e4_1__grcat_1),[file(grcat_1,e4_1__grcat_1)]]).

fof(dt_c7_1__grcat_1,plain,(
    m1_subset_1(c7_1__grcat_1,c1_1__grcat_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[existence_m1_subset_1,dt_m1_subset_1,dt_c1_1__grcat_1,dt_c5_1__grcat_1,de_c7_1__grcat_1,e4_1__grcat_1]),
    [interesting(0.8),file(grcat_1,c7_1__grcat_1),[file(grcat_1,c7_1__grcat_1)]]).

fof(de_c8_1__grcat_1,definition,(
    c8_1__grcat_1 = c6_1__grcat_1 ),
    introduced(definition,[new_symbol(c8_1__grcat_1),file(grcat_1,c8_1__grcat_1)]),
    [interesting(0.8),axiom,file(grcat_1,c8_1__grcat_1)]).

fof(e5_1__grcat_1,plain,(
    m1_subset_1(c6_1__grcat_1,c2_1__grcat_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dt_k1_xboole_0,fc1_xboole_0,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,existence_m1_subset_1,dt_k4_tarski,dt_m1_subset_1,dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c4_1__grcat_1,dt_c5_1__grcat_1,dt_c6_1__grcat_1,t1_subset,t7_boole,e3_1__grcat_1]),
    [interesting(0.8),file(grcat_1,e5_1__grcat_1),[file(grcat_1,e5_1__grcat_1)]]).

fof(dt_c8_1__grcat_1,plain,(
    m1_subset_1(c8_1__grcat_1,c2_1__grcat_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[existence_m1_subset_1,dt_m1_subset_1,dt_c2_1__grcat_1,dt_c6_1__grcat_1,de_c8_1__grcat_1,e5_1__grcat_1]),
    [interesting(0.8),file(grcat_1,c8_1__grcat_1),[file(grcat_1,c8_1__grcat_1)]]).

fof(e6_1__grcat_1,plain,(
    c4_1__grcat_1 = k4_tarski(c7_1__grcat_1,c8_1__grcat_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k4_tarski,dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c4_1__grcat_1,dt_c5_1__grcat_1,dt_c6_1__grcat_1,dt_c7_1__grcat_1,dt_c8_1__grcat_1,de_c7_1__grcat_1,de_c8_1__grcat_1,t1_subset,t7_boole,e3_1__grcat_1]),
    [interesting(0.8),file(grcat_1,e6_1__grcat_1),[file(grcat_1,e6_1__grcat_1)]]).

fof(i6_1__grcat_1,theorem,(
    $true ),
    introduced(tautology,[file(grcat_1,i6_1__grcat_1)]),
    [interesting(0.8),trivial,file(grcat_1,i6_1__grcat_1)]).

fof(i5_1__grcat_1,plain,(
    c4_1__grcat_1 = k4_tarski(c7_1__grcat_1,c8_1__grcat_1) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[e6_1__grcat_1,i6_1__grcat_1]),
    [interesting(0.8),file(grcat_1,i5_1__grcat_1),[file(grcat_1,i5_1__grcat_1)]]).

fof(i4_1__grcat_1,plain,(
    ? [A] : 
      ( m1_subset_1(A,c2_1__grcat_1)
      & c4_1__grcat_1 = k4_tarski(c7_1__grcat_1,A) ) ),
    inference(take,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dt_c1_1__grcat_1,dt_k4_tarski,dt_m1_subset_1,dt_c2_1__grcat_1,dt_c4_1__grcat_1,dt_c7_1__grcat_1,dt_c8_1__grcat_1,i5_1__grcat_1]),
    [interesting(0.8),file(grcat_1,i4_1__grcat_1),[file(grcat_1,i4_1__grcat_1)]]).

fof(i3_1__grcat_1,plain,(
    ? [A] : 
      ( m1_subset_1(A,c1_1__grcat_1)
      & ? [B] : 
          ( m1_subset_1(B,c2_1__grcat_1)
          & c4_1__grcat_1 = k4_tarski(A,B) ) ) ),
    inference(take,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1,e1_1__grcat_1])],[dt_k4_tarski,dt_m1_subset_1,dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c4_1__grcat_1,dt_c7_1__grcat_1,i4_1__grcat_1]),
    [interesting(0.8),file(grcat_1,i3_1__grcat_1),[file(grcat_1,i3_1__grcat_1)]]).

fof(i2_1__grcat_1,plain,(
    ~ ( r2_hidden(c4_1__grcat_1,c3_1__grcat_1)
      & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
      & ! [A] : 
          ( m1_subset_1(A,c1_1__grcat_1)
         => ! [B] : 
              ( m1_subset_1(B,c2_1__grcat_1)
             => c4_1__grcat_1 != k4_tarski(A,B) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,dt_c4_1__grcat_1]),discharge_asm(discharge,[e1_1__grcat_1])],[e1_1__grcat_1,i3_1__grcat_1]),
    [interesting(0.8),file(grcat_1,i2_1__grcat_1),[file(grcat_1,i2_1__grcat_1)]]).

fof(i2_1_tmp__grcat_1,plain,(
    ~ ( r2_hidden(c4_1__grcat_1,c3_1__grcat_1)
      & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
      & ! [A] : 
          ( m1_subset_1(A,c1_1__grcat_1)
         => ! [B] : 
              ( m1_subset_1(B,c2_1__grcat_1)
             => c4_1__grcat_1 != k4_tarski(A,B) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1]),discharge_asm(discharge,[dt_c4_1__grcat_1])],[dt_c4_1__grcat_1,i2_1__grcat_1]),
    [interesting(0.8),i1_1__grcat_1]).

fof(i1_1__grcat_1,plain,(
    ! [A] : 
      ~ ( r2_hidden(A,c3_1__grcat_1)
        & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
        & ! [B] : 
            ( m1_subset_1(B,c1_1__grcat_1)
           => ! [C] : 
                ( m1_subset_1(C,c2_1__grcat_1)
               => A != k4_tarski(B,C) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1])],[i2_1_tmp__grcat_1,dh_c4_1__grcat_1]),
    [interesting(0.8),file(grcat_1,i1_1__grcat_1),[file(grcat_1,i1_1__grcat_1)]]).

fof(i1_1_tmp__grcat_1,plain,(
    ! [A] : 
      ~ ( r2_hidden(A,c3_1__grcat_1)
        & r1_tarski(c3_1__grcat_1,k2_zfmisc_1(c1_1__grcat_1,c2_1__grcat_1))
        & ! [B] : 
            ( m1_subset_1(B,c1_1__grcat_1)
           => ! [C] : 
                ( m1_subset_1(C,c2_1__grcat_1)
               => A != k4_tarski(B,C) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1])],[dt_c1_1__grcat_1,dt_c2_1__grcat_1,dt_c3_1__grcat_1,i1_1__grcat_1]),
    [interesting(1),t2_grcat_1]).

fof(t2_grcat_1,theorem,(
    ! [A,B,C,D] : 
      ~ ( r2_hidden(D,C)
        & r1_tarski(C,k2_zfmisc_1(A,B))
        & ! [E] : 
            ( m1_subset_1(E,A)
           => ! [F] : 
                ( m1_subset_1(F,B)
               => D != k4_tarski(E,F) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_1_tmp__grcat_1,dh_c1_1__grcat_1,dh_c2_1__grcat_1,dh_c3_1__grcat_1]),
    [interesting(1),file(grcat_1,t2_grcat_1),[file(grcat_1,t2_grcat_1)]]).