% Mizar ND problem: t2_bvfunc11,bvfunc11,42,40 
fof(dh_c1_2__bvfunc11,definition,
    ( ( ~ v1_xboole_0(c1_2__bvfunc11)
     => ! [A] : 
          ( m1_subset_1(A,c1_2__bvfunc11)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_2__bvfunc11)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_2__bvfunc11)
                 => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,A,B),k22_bvfunc_1(c1_2__bvfunc11,A,k3_partit1(c1_2__bvfunc11,B,C))) ) ) ) )
   => ! [D] : 
        ( ~ v1_xboole_0(D)
       => ! [E] : 
            ( m1_subset_1(E,D)
           => ! [F] : 
                ( m1_eqrel_1(F,D)
               => ! [G] : 
                    ( m1_eqrel_1(G,D)
                   => r1_tarski(k22_bvfunc_1(D,E,F),k22_bvfunc_1(D,E,k3_partit1(D,F,G))) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_2__bvfunc11),file(bvfunc11,c1_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c1_2__bvfunc11)]).

fof(dh_c2_2__bvfunc11,definition,
    ( ( m1_subset_1(c2_2__bvfunc11,c1_2__bvfunc11)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_2__bvfunc11)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_2__bvfunc11)
             => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,A),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,A,B))) ) ) )
   => ! [C] : 
        ( m1_subset_1(C,c1_2__bvfunc11)
       => ! [D] : 
            ( m1_eqrel_1(D,c1_2__bvfunc11)
           => ! [E] : 
                ( m1_eqrel_1(E,c1_2__bvfunc11)
               => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,C,D),k22_bvfunc_1(c1_2__bvfunc11,C,k3_partit1(c1_2__bvfunc11,D,E))) ) ) ) ),
    introduced(definition,[new_symbol(c2_2__bvfunc11),file(bvfunc11,c2_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c2_2__bvfunc11)]).

fof(dh_c3_2__bvfunc11,definition,
    ( ( m1_eqrel_1(c3_2__bvfunc11,c1_2__bvfunc11)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_2__bvfunc11)
         => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,c3_2__bvfunc11),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,c3_2__bvfunc11,A))) ) )
   => ! [B] : 
        ( m1_eqrel_1(B,c1_2__bvfunc11)
       => ! [C] : 
            ( m1_eqrel_1(C,c1_2__bvfunc11)
           => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,B),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,B,C))) ) ) ),
    introduced(definition,[new_symbol(c3_2__bvfunc11),file(bvfunc11,c3_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c3_2__bvfunc11)]).

fof(dh_c4_2__bvfunc11,definition,
    ( ( m1_eqrel_1(c4_2__bvfunc11,c1_2__bvfunc11)
     => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,c3_2__bvfunc11),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,c3_2__bvfunc11,c4_2__bvfunc11))) )
   => ! [A] : 
        ( m1_eqrel_1(A,c1_2__bvfunc11)
       => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,c3_2__bvfunc11),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,c3_2__bvfunc11,A))) ) ),
    introduced(definition,[new_symbol(c4_2__bvfunc11),file(bvfunc11,c4_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c4_2__bvfunc11)]).

fof(cc1_funct_7,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & v1_funct_7(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A)
        & v1_finseq_1(A)
        & v1_funcop_1(A) ) ) ),
    file(funct_7,cc1_funct_7),
    [interesting(0.9),axiom,file(funct_7,cc1_funct_7)]).

fof(cc2_funct_7,theorem,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A)
        & v1_finseq_1(A)
        & v1_funcop_1(A)
        & v1_funct_7(A) ) ) ),
    file(funct_7,cc2_funct_7),
    [interesting(0.9),axiom,file(funct_7,cc2_funct_7)]).

fof(rc1_margrel1,theorem,(
    ? [A] : v1_margrel1(A) ),
    file(margrel1,rc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,rc1_margrel1)]).

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(existence_m1_bvfunc_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => ? [C] : m1_bvfunc_1(C,A,B) ) ),
    file(bvfunc_1,m1_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,m1_bvfunc_1)]).

fof(redefinition_m1_bvfunc_1,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => ! [C] : 
          ( m1_bvfunc_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(bvfunc_1,m1_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,m1_bvfunc_1)]).

fof(dt_k1_t_1topsp,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_eqrel_1(C,A) )
     => m1_subset_1(k1_t_1topsp(A,B,C),k1_zfmisc_1(A)) ) ),
    file(t_1topsp,k1_t_1topsp),
    [interesting(0.9),axiom,file(t_1topsp,k1_t_1topsp)]).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_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(dt_m1_bvfunc_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => ! [C] : 
          ( m1_bvfunc_1(C,A,B)
         => m1_subset_1(C,k1_zfmisc_1(A)) ) ) ),
    file(bvfunc_1,m1_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,m1_bvfunc_1)]).

fof(fc1_margrel1,theorem,
    ( v1_xboole_0(k1_xboole_0)
    & v1_margrel1(k1_xboole_0) ),
    file(margrel1,fc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc1_margrel1)]).

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(fc3_funct_7,theorem,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0)
    & v1_funcop_1(k1_xboole_0) ),
    file(funct_7,fc3_funct_7),
    [interesting(0.9),axiom,file(funct_7,fc3_funct_7)]).

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(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(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(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(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(commutativity_k3_partit1,theorem,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A)
        & m1_eqrel_1(C,A) )
     => k3_partit1(A,B,C) = k3_partit1(A,C,B) ) ),
    file(partit1,k3_partit1),
    [interesting(0.9),axiom,file(partit1,k3_partit1)]).

fof(reflexivity_r1_setfam_1,theorem,(
    ! [A,B] : r1_setfam_1(A,A) ),
    file(setfam_1,r1_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,r1_setfam_1)]).

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

fof(existence_m1_eqrel_1,axiom,(
    ! [A] : 
    ? [B] : m1_eqrel_1(B,A) ),
    file(eqrel_1,m1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_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(redefinition_k22_bvfunc_1,definition,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_eqrel_1(C,A) )
     => k22_bvfunc_1(A,B,C) = k1_t_1topsp(A,B,C) ) ),
    file(bvfunc_1,k22_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k22_bvfunc_1)]).

fof(dt_k22_bvfunc_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A)
        & m1_eqrel_1(C,A) )
     => m1_bvfunc_1(k22_bvfunc_1(A,B,C),A,C) ) ),
    file(bvfunc_1,k22_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k22_bvfunc_1)]).

fof(dt_k3_partit1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A)
        & m1_eqrel_1(C,A) )
     => m1_eqrel_1(k3_partit1(A,B,C),A) ) ),
    file(partit1,k3_partit1),
    [interesting(0.9),axiom,file(partit1,k3_partit1)]).

fof(dt_m1_eqrel_1,axiom,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ),
    file(eqrel_1,m1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_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(dt_c1_2__bvfunc11,assumption,(
    ~ v1_xboole_0(c1_2__bvfunc11) ),
    introduced(assumption,[file(bvfunc11,c1_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c1_2__bvfunc11)]).

fof(dt_c2_2__bvfunc11,assumption,(
    m1_subset_1(c2_2__bvfunc11,c1_2__bvfunc11) ),
    introduced(assumption,[file(bvfunc11,c2_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c2_2__bvfunc11)]).

fof(dt_c3_2__bvfunc11,assumption,(
    m1_eqrel_1(c3_2__bvfunc11,c1_2__bvfunc11) ),
    introduced(assumption,[file(bvfunc11,c3_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c3_2__bvfunc11)]).

fof(dt_c4_2__bvfunc11,assumption,(
    m1_eqrel_1(c4_2__bvfunc11,c1_2__bvfunc11) ),
    introduced(assumption,[file(bvfunc11,c4_2__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c4_2__bvfunc11)]).

fof(cc1_eqrel_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(eqrel_1,cc1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,cc1_eqrel_1)]).

fof(cc2_eqrel_1,theorem,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => v1_setfam_1(B) ) ),
    file(eqrel_1,cc2_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,cc2_eqrel_1)]).

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(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(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(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(t19_partit1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => r1_setfam_1(B,k3_partit1(A,B,C)) ) ) ) ),
    file(partit1,t19_partit1),
    [interesting(0.9),axiom,file(partit1,t19_partit1)]).

fof(e1_2__bvfunc11,plain,(
    r1_setfam_1(c3_2__bvfunc11,k3_partit1(c1_2__bvfunc11,c3_2__bvfunc11,c4_2__bvfunc11)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_2__bvfunc11,dt_c3_2__bvfunc11,dt_c4_2__bvfunc11])],[cc1_funct_7,reflexivity_r1_tarski,cc2_funct_7,rc1_margrel1,antisymmetry_r2_hidden,existence_m1_subset_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_margrel1,fc1_subset_1,fc3_funct_7,rc1_subset_1,rc2_subset_1,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,commutativity_k3_partit1,reflexivity_r1_setfam_1,existence_m1_eqrel_1,dt_k3_partit1,dt_m1_eqrel_1,dt_c1_2__bvfunc11,dt_c3_2__bvfunc11,dt_c4_2__bvfunc11,cc1_eqrel_1,cc2_eqrel_1,t6_boole,t7_boole,t19_partit1]),
    [interesting(0.8),file(bvfunc11,e1_2__bvfunc11),[file(bvfunc11,e1_2__bvfunc11)]]).

fof(t1_bvfunc11,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => ! [D] : 
                  ( m1_eqrel_1(D,A)
                 => ( r1_setfam_1(C,D)
                   => r1_tarski(k22_bvfunc_1(A,B,C),k22_bvfunc_1(A,B,D)) ) ) ) ) ) ),
    file(bvfunc11,t1_bvfunc11),
    [interesting(0.9),axiom,file(bvfunc11,t1_bvfunc11)]).

fof(e2_2__bvfunc11,plain,(
    r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,c3_2__bvfunc11),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,c3_2__bvfunc11,c4_2__bvfunc11))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_2__bvfunc11,dt_c1_2__bvfunc11,dt_c3_2__bvfunc11,dt_c4_2__bvfunc11])],[cc1_funct_7,cc2_funct_7,rc1_margrel1,antisymmetry_r2_hidden,existence_m1_bvfunc_1,redefinition_m1_bvfunc_1,dt_k1_t_1topsp,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_m1_bvfunc_1,fc1_margrel1,fc1_subset_1,fc3_funct_7,rc1_subset_1,rc2_subset_1,t1_subset,t4_subset,t5_subset,t8_boole,commutativity_k3_partit1,reflexivity_r1_setfam_1,reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k22_bvfunc_1,dt_k22_bvfunc_1,dt_k3_partit1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_2__bvfunc11,dt_c2_2__bvfunc11,dt_c3_2__bvfunc11,dt_c4_2__bvfunc11,cc1_eqrel_1,cc2_eqrel_1,t2_subset,t3_subset,t6_boole,t7_boole,e1_2__bvfunc11,t1_bvfunc11]),
    [interesting(0.8),file(bvfunc11,e2_2__bvfunc11),[file(bvfunc11,e2_2__bvfunc11)]]).

fof(i4_2__bvfunc11,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc11,i4_2__bvfunc11)]),
    [interesting(0.8),trivial,file(bvfunc11,i4_2__bvfunc11)]).

fof(i3_2__bvfunc11,plain,(
    r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,c3_2__bvfunc11),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,c3_2__bvfunc11,c4_2__bvfunc11))) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_2__bvfunc11,dt_c1_2__bvfunc11,dt_c3_2__bvfunc11,dt_c4_2__bvfunc11])],[e2_2__bvfunc11,i4_2__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i3_2__bvfunc11),[file(bvfunc11,i3_2__bvfunc11)]]).

fof(i3_2_tmp__bvfunc11,plain,
    ( ( m1_eqrel_1(c3_2__bvfunc11,c1_2__bvfunc11)
      & m1_eqrel_1(c4_2__bvfunc11,c1_2__bvfunc11) )
   => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,c3_2__bvfunc11),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,c3_2__bvfunc11,c4_2__bvfunc11))) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_2__bvfunc11,dt_c1_2__bvfunc11]),discharge_asm(discharge,[dt_c3_2__bvfunc11,dt_c4_2__bvfunc11])],[dt_c3_2__bvfunc11,dt_c4_2__bvfunc11,i3_2__bvfunc11]),
    [interesting(0.8),i2_2__bvfunc11]).

fof(i2_2__bvfunc11,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_2__bvfunc11)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_2__bvfunc11)
         => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,A),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,A,B))) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_2__bvfunc11,dt_c1_2__bvfunc11])],[i3_2_tmp__bvfunc11,dh_c3_2__bvfunc11,dh_c4_2__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i2_2__bvfunc11),[file(bvfunc11,i2_2__bvfunc11)]]).

fof(i2_2_tmp__bvfunc11,plain,
    ( m1_subset_1(c2_2__bvfunc11,c1_2__bvfunc11)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_2__bvfunc11)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_2__bvfunc11)
           => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,A),k22_bvfunc_1(c1_2__bvfunc11,c2_2__bvfunc11,k3_partit1(c1_2__bvfunc11,A,B))) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_2__bvfunc11]),discharge_asm(discharge,[dt_c2_2__bvfunc11])],[dt_c2_2__bvfunc11,i2_2__bvfunc11]),
    [interesting(0.8),i1_2__bvfunc11]).

fof(i1_2__bvfunc11,plain,(
    ! [A] : 
      ( m1_subset_1(A,c1_2__bvfunc11)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_2__bvfunc11)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_2__bvfunc11)
             => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,A,B),k22_bvfunc_1(c1_2__bvfunc11,A,k3_partit1(c1_2__bvfunc11,B,C))) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_2__bvfunc11])],[i2_2_tmp__bvfunc11,dh_c2_2__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i1_2__bvfunc11),[file(bvfunc11,i1_2__bvfunc11)]]).

fof(i1_2_tmp__bvfunc11,plain,
    ( ~ v1_xboole_0(c1_2__bvfunc11)
   => ! [A] : 
        ( m1_subset_1(A,c1_2__bvfunc11)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_2__bvfunc11)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_2__bvfunc11)
               => r1_tarski(k22_bvfunc_1(c1_2__bvfunc11,A,B),k22_bvfunc_1(c1_2__bvfunc11,A,k3_partit1(c1_2__bvfunc11,B,C))) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_2__bvfunc11])],[dt_c1_2__bvfunc11,i1_2__bvfunc11]),
    [interesting(1),t2_bvfunc11]).

fof(t2_bvfunc11,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => ! [D] : 
                  ( m1_eqrel_1(D,A)
                 => r1_tarski(k22_bvfunc_1(A,B,C),k22_bvfunc_1(A,B,k3_partit1(A,C,D))) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_2_tmp__bvfunc11,dh_c1_2__bvfunc11]),
    [interesting(1),file(bvfunc11,t2_bvfunc11),[file(bvfunc11,t2_bvfunc11)]]).