% Mizar ND problem: t1_ami_7,ami_7,35,72 
fof(dh_c1_1__ami_7,definition,
    ( ! [A,B] : 
        ~ ( c1_1__ami_7 != A
          & c1_1__ami_7 != B
          & k4_xboole_0(k1_enumset1(c1_1__ami_7,A,B),k1_tarski(c1_1__ami_7)) != k2_tarski(A,B) )
   => ! [C,D,E] : 
        ~ ( C != D
          & C != E
          & k4_xboole_0(k1_enumset1(C,D,E),k1_tarski(C)) != k2_tarski(D,E) ) ),
    introduced(definition,[new_symbol(c1_1__ami_7),file(ami_7,c1_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c1_1__ami_7)]).

fof(dh_c2_1__ami_7,definition,
    ( ! [A] : 
        ~ ( c1_1__ami_7 != c2_1__ami_7
          & c1_1__ami_7 != A
          & k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,A),k1_tarski(c1_1__ami_7)) != k2_tarski(c2_1__ami_7,A) )
   => ! [B,C] : 
        ~ ( c1_1__ami_7 != B
          & c1_1__ami_7 != C
          & k4_xboole_0(k1_enumset1(c1_1__ami_7,B,C),k1_tarski(c1_1__ami_7)) != k2_tarski(B,C) ) ),
    introduced(definition,[new_symbol(c2_1__ami_7),file(ami_7,c2_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c2_1__ami_7)]).

fof(dh_c3_1__ami_7,definition,
    ( ~ ( c1_1__ami_7 != c2_1__ami_7
        & c1_1__ami_7 != c3_1__ami_7
        & k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)) != k2_tarski(c2_1__ami_7,c3_1__ami_7) )
   => ! [A] : 
        ~ ( c1_1__ami_7 != c2_1__ami_7
          & c1_1__ami_7 != A
          & k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,A),k1_tarski(c1_1__ami_7)) != k2_tarski(c2_1__ami_7,A) ) ),
    introduced(definition,[new_symbol(c3_1__ami_7),file(ami_7,c3_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c3_1__ami_7)]).

fof(e1_1__ami_7,assumption,
    ( c1_1__ami_7 != c2_1__ami_7
    & c1_1__ami_7 != c3_1__ami_7 ),
    introduced(assumption,[file(ami_7,e1_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,e1_1__ami_7)]).

fof(commutativity_k2_tarski,theorem,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

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_k1_enumset1,axiom,(
    $true ),
    file(enumset1,k1_enumset1),
    [interesting(0.9),axiom,file(enumset1,k1_enumset1)]).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    [interesting(0.9),axiom,file(tarski,k1_tarski)]).

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

fof(dt_k4_xboole_0,axiom,(
    $true ),
    file(xboole_0,k4_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k4_xboole_0)]).

fof(dt_c1_1__ami_7,assumption,(
    $true ),
    introduced(assumption,[file(ami_7,c1_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c1_1__ami_7)]).

fof(dt_c2_1__ami_7,assumption,(
    $true ),
    introduced(assumption,[file(ami_7,c2_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c2_1__ami_7)]).

fof(dt_c3_1__ami_7,assumption,(
    $true ),
    introduced(assumption,[file(ami_7,c3_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c3_1__ami_7)]).

fof(d3_tarski,definition,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    [interesting(0.9),axiom,file(tarski,d3_tarski)]).

fof(d10_xboole_0,definition,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d10_xboole_0)]).

fof(dh_c1_1_1__ami_7,definition,
    ( ( r2_hidden(c1_1_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)))
     => r2_hidden(c1_1_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7)) )
   => ! [A] : 
        ( r2_hidden(A,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)))
       => r2_hidden(A,k2_tarski(c2_1__ami_7,c3_1__ami_7)) ) ),
    introduced(definition,[new_symbol(c1_1_1__ami_7),file(ami_7,c1_1_1__ami_7)]),
    [interesting(0.65),axiom,file(ami_7,c1_1_1__ami_7)]).

fof(e1_1_1__ami_7,assumption,(
    r2_hidden(c1_1_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) ),
    introduced(assumption,[file(ami_7,e1_1_1__ami_7)]),
    [interesting(0.65),axiom,file(ami_7,e1_1_1__ami_7)]).

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

fof(cc1_setfam_1,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_setfam_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(setfam_1,cc1_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,cc1_setfam_1)]).

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(rc1_setfam_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_setfam_1(A) ) ),
    file(setfam_1,rc1_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,rc1_setfam_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(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(fc3_setfam_1,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ( ~ v1_xboole_0(k2_tarski(A,B))
        & v1_setfam_1(k2_tarski(A,B)) ) ) ),
    file(setfam_1,fc3_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,fc3_setfam_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_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(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(dt_c1_1_1__ami_7,assumption,(
    $true ),
    introduced(assumption,[file(ami_7,c1_1_1__ami_7)]),
    [interesting(0.65),axiom,file(ami_7,c1_1_1__ami_7)]).

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(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(fc2_setfam_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v1_xboole_0(k1_tarski(A))
        & v1_setfam_1(k1_tarski(A)) ) ) ),
    file(setfam_1,fc2_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,fc2_setfam_1)]).

fof(t3_boole,theorem,(
    ! [A] : k4_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t3_boole),
    [interesting(0.9),axiom,file(boole,t3_boole)]).

fof(t4_boole,theorem,(
    ! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0 ),
    file(boole,t4_boole),
    [interesting(0.9),axiom,file(boole,t4_boole)]).

fof(d4_xboole_0,definition,(
    ! [A,B,C] : 
      ( C = k4_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & ~ r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d4_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d4_xboole_0)]).

fof(e2_1_1__ami_7,plain,
    ( r2_hidden(c1_1_1__ami_7,k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7))
    & ~ r2_hidden(c1_1_1__ami_7,k1_tarski(c1_1__ami_7)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,e1_1_1__ami_7])],[dt_k1_xboole_0,cc1_setfam_1,fc1_xboole_0,rc1_setfam_1,t3_boole,t4_boole,existence_m1_subset_1,dt_m1_subset_1,fc2_setfam_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_tarski,dt_k4_xboole_0,dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,t1_subset,t7_boole,e1_1_1__ami_7,d4_xboole_0]),
    [interesting(0.65),file(ami_7,e2_1_1__ami_7),[file(ami_7,e2_1_1__ami_7)]]).

fof(d1_enumset1,definition,(
    ! [A,B,C,D] : 
      ( D = k1_enumset1(A,B,C)
    <=> ! [E] : 
          ( r2_hidden(E,D)
        <=> ~ ( E != A
              & E != B
              & E != C ) ) ) ),
    file(enumset1,d1_enumset1),
    [interesting(0.9),axiom,file(enumset1,d1_enumset1)]).

fof(d1_tarski,definition,(
    ! [A,B] : 
      ( B = k1_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> C = A ) ) ),
    file(tarski,d1_tarski),
    [interesting(0.9),axiom,file(tarski,d1_tarski)]).

fof(e3_1_1__ami_7,plain,
    ( ~ ( c1_1_1__ami_7 != c1_1__ami_7
        & c1_1_1__ami_7 != c2_1__ami_7
        & c1_1_1__ami_7 != c3_1__ami_7 )
    & c1_1_1__ami_7 != c1_1__ami_7 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,e1_1_1__ami_7])],[dt_k1_xboole_0,cc1_setfam_1,fc1_xboole_0,rc1_setfam_1,existence_m1_subset_1,dt_m1_subset_1,fc2_setfam_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_tarski,dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,t1_subset,t7_boole,e2_1_1__ami_7,d1_enumset1,d1_tarski]),
    [interesting(0.65),file(ami_7,e3_1_1__ami_7),[file(ami_7,e3_1_1__ami_7)]]).

fof(d2_tarski,definition,(
    ! [A,B,C] : 
      ( C = k2_tarski(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( D = A
            | D = B ) ) ) ),
    file(tarski,d2_tarski),
    [interesting(0.9),axiom,file(tarski,d2_tarski)]).

fof(e4_1_1__ami_7,plain,(
    r2_hidden(c1_1_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,e1_1_1__ami_7])],[dt_k1_xboole_0,cc1_setfam_1,fc1_xboole_0,rc1_setfam_1,existence_m1_subset_1,dt_m1_subset_1,fc3_setfam_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_tarski,antisymmetry_r2_hidden,dt_k2_tarski,dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,t1_subset,t7_boole,e3_1_1__ami_7,d2_tarski]),
    [interesting(0.65),file(ami_7,e4_1_1__ami_7),[file(ami_7,e4_1_1__ami_7)]]).

fof(i3_1_1__ami_7,theorem,(
    $true ),
    introduced(tautology,[file(ami_7,i3_1_1__ami_7)]),
    [interesting(0.65),trivial,file(ami_7,i3_1_1__ami_7)]).

fof(i2_1_1__ami_7,plain,(
    r2_hidden(c1_1_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,e1_1_1__ami_7])],[e4_1_1__ami_7,i3_1_1__ami_7]),
    [interesting(0.65),file(ami_7,i2_1_1__ami_7),[file(ami_7,i2_1_1__ami_7)]]).

fof(i1_1_1__ami_7,plain,
    ( r2_hidden(c1_1_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)))
   => r2_hidden(c1_1_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__ami_7,dt_c1_1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7]),discharge_asm(discharge,[e1_1_1__ami_7])],[e1_1_1__ami_7,i2_1_1__ami_7]),
    [interesting(0.65),file(ami_7,i1_1_1__ami_7),[file(ami_7,i1_1_1__ami_7)]]).

fof(i1_1_1_tmp__ami_7,plain,
    ( r2_hidden(c1_1_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)))
   => r2_hidden(c1_1_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7]),discharge_asm(discharge,[dt_c1_1_1__ami_7])],[dt_c1_1_1__ami_7,i1_1_1__ami_7]),
    [interesting(0.8),e2_1__ami_7]).

fof(e2_1__ami_7,plain,(
    ! [A] : 
      ( r2_hidden(A,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)))
     => r2_hidden(A,k2_tarski(c2_1__ami_7,c3_1__ami_7)) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7])],[i1_1_1_tmp__ami_7,dh_c1_1_1__ami_7]),
    [interesting(0.8),file(ami_7,e2_1__ami_7),[file(ami_7,e2_1__ami_7)]]).

fof(dt_c4_1__ami_7,assumption,(
    $true ),
    introduced(assumption,[file(ami_7,c4_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c4_1__ami_7)]).

fof(dh_c4_1__ami_7,definition,
    ( ~ ( r2_hidden(c4_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7))
        & ~ r2_hidden(c4_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_tarski(c2_1__ami_7,c3_1__ami_7))
          & ~ r2_hidden(A,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) ) ),
    introduced(definition,[new_symbol(c4_1__ami_7),file(ami_7,c4_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c4_1__ami_7)]).

fof(e3_1__ami_7,assumption,(
    r2_hidden(c4_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7)) ),
    introduced(assumption,[file(ami_7,e3_1__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,e3_1__ami_7)]).

fof(e4_1__ami_7,plain,
    ( c4_1__ami_7 = c2_1__ami_7
    | c4_1__ami_7 = c3_1__ami_7 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,e3_1__ami_7])],[dt_k1_xboole_0,cc1_setfam_1,fc1_xboole_0,rc1_setfam_1,existence_m1_subset_1,dt_m1_subset_1,fc3_setfam_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_tarski,antisymmetry_r2_hidden,dt_k2_tarski,dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,t1_subset,t7_boole,e3_1__ami_7,d2_tarski]),
    [interesting(0.8),file(ami_7,e4_1__ami_7),[file(ami_7,e4_1__ami_7)]]).

fof(e5_1__ami_7,plain,
    ( r2_hidden(c4_1__ami_7,k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7))
    & ~ r2_hidden(c4_1__ami_7,k1_tarski(c1_1__ami_7)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,e3_1__ami_7,e1_1__ami_7])],[dt_k1_xboole_0,cc1_setfam_1,fc1_xboole_0,rc1_setfam_1,existence_m1_subset_1,dt_m1_subset_1,fc2_setfam_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_tarski,dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,t1_subset,t7_boole,e4_1__ami_7,e1_1__ami_7,d1_enumset1,d1_tarski]),
    [interesting(0.8),file(ami_7,e5_1__ami_7),[file(ami_7,e5_1__ami_7)]]).

fof(e6_1__ami_7,plain,(
    r2_hidden(c4_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,e3_1__ami_7,e1_1__ami_7])],[dt_k1_xboole_0,cc1_setfam_1,fc1_xboole_0,rc1_setfam_1,t3_boole,t4_boole,existence_m1_subset_1,dt_m1_subset_1,fc2_setfam_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_tarski,dt_k4_xboole_0,dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,t1_subset,t7_boole,e5_1__ami_7,d4_xboole_0]),
    [interesting(0.8),file(ami_7,e6_1__ami_7),[file(ami_7,e6_1__ami_7)]]).

fof(i6_1__ami_7,theorem,(
    $true ),
    introduced(tautology,[file(ami_7,i6_1__ami_7)]),
    [interesting(0.8),trivial,file(ami_7,i6_1__ami_7)]).

fof(i5_1__ami_7,plain,(
    r2_hidden(c4_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,e3_1__ami_7,e1_1__ami_7])],[e6_1__ami_7,i6_1__ami_7]),
    [interesting(0.8),file(ami_7,i5_1__ami_7),[file(ami_7,i5_1__ami_7)]]).

fof(i4_1__ami_7,plain,(
    ~ ( r2_hidden(c4_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7))
      & ~ r2_hidden(c4_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,dt_c4_1__ami_7,e1_1__ami_7]),discharge_asm(discharge,[e3_1__ami_7])],[e3_1__ami_7,i5_1__ami_7]),
    [interesting(0.8),file(ami_7,i4_1__ami_7),[file(ami_7,i4_1__ami_7)]]).

fof(i4_1_tmp__ami_7,plain,(
    ~ ( r2_hidden(c4_1__ami_7,k2_tarski(c2_1__ami_7,c3_1__ami_7))
      & ~ r2_hidden(c4_1__ami_7,k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,e1_1__ami_7]),discharge_asm(discharge,[dt_c4_1__ami_7])],[dt_c4_1__ami_7,i4_1__ami_7]),
    [interesting(0.8),i3_1__ami_7]).

fof(i3_1__ami_7,plain,(
    r1_tarski(k2_tarski(c2_1__ami_7,c3_1__ami_7),k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7))) ),
    inference(let,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,e1_1__ami_7])],[i4_1_tmp__ami_7,commutativity_k2_tarski,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_tarski,dt_k2_tarski,dt_k4_xboole_0,dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,d3_tarski,dh_c4_1__ami_7]),
    [interesting(0.8),file(ami_7,i3_1__ami_7),[file(ami_7,i3_1__ami_7)]]).

fof(i2_1__ami_7,plain,(
    k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)) = k2_tarski(c2_1__ami_7,c3_1__ami_7) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,e1_1__ami_7])],[commutativity_k2_tarski,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_tarski,dt_k2_tarski,dt_k4_xboole_0,dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,d3_tarski,d10_xboole_0,e2_1__ami_7,i3_1__ami_7]),
    [interesting(0.8),file(ami_7,i2_1__ami_7),[file(ami_7,i2_1__ami_7)]]).

fof(i1_1__ami_7,plain,(
    ~ ( c1_1__ami_7 != c2_1__ami_7
      & c1_1__ami_7 != c3_1__ami_7
      & k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)) != k2_tarski(c2_1__ami_7,c3_1__ami_7) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7]),discharge_asm(discharge,[e1_1__ami_7])],[e1_1__ami_7,i2_1__ami_7]),
    [interesting(0.8),file(ami_7,i1_1__ami_7),[file(ami_7,i1_1__ami_7)]]).

fof(i1_1_tmp__ami_7,plain,(
    ~ ( c1_1__ami_7 != c2_1__ami_7
      & c1_1__ami_7 != c3_1__ami_7
      & k4_xboole_0(k1_enumset1(c1_1__ami_7,c2_1__ami_7,c3_1__ami_7),k1_tarski(c1_1__ami_7)) != k2_tarski(c2_1__ami_7,c3_1__ami_7) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7])],[dt_c1_1__ami_7,dt_c2_1__ami_7,dt_c3_1__ami_7,i1_1__ami_7]),
    [interesting(1),t1_ami_7]).

fof(t1_ami_7,theorem,(
    ! [A,B,C] : 
      ~ ( A != B
        & A != C
        & k4_xboole_0(k1_enumset1(A,B,C),k1_tarski(A)) != k2_tarski(B,C) ) ),
    inference(let,[status(thm),assumptions([])],[i1_1_tmp__ami_7,dh_c1_1__ami_7,dh_c2_1__ami_7,dh_c3_1__ami_7]),
    [interesting(1),file(ami_7,t1_ami_7),[file(ami_7,t1_ami_7)]]).