% Mizar ND problem: t2_bvfunc10,bvfunc10,293,54 
fof(dh_c1_3__bvfunc10,definition,
    ( ( ~ v1_xboole_0(c1_3__bvfunc10)
     => ! [A] : 
          ( m2_fraenkel(A,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
         => ! [B] : 
              ( m2_fraenkel(B,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
             => ! [C] : 
                  ( m2_fraenkel(C,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
                 => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,B)),k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,C))),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,A))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,A)),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,B))),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,C))) ) ) ) )
   => ! [D] : 
        ( ~ v1_xboole_0(D)
       => ! [E] : 
            ( m2_fraenkel(E,D,k6_margrel1,k1_fraenkel(D,k6_margrel1))
           => ! [F] : 
                ( m2_fraenkel(F,D,k6_margrel1,k1_fraenkel(D,k6_margrel1))
               => ! [G] : 
                    ( m2_fraenkel(G,D,k6_margrel1,k1_fraenkel(D,k6_margrel1))
                   => k8_bvfunc_1(D,k8_bvfunc_1(D,k6_valuat_1(D,E,k5_valuat_1(D,F)),k6_valuat_1(D,F,k5_valuat_1(D,G))),k6_valuat_1(D,G,k5_valuat_1(D,E))) = k8_bvfunc_1(D,k8_bvfunc_1(D,k6_valuat_1(D,F,k5_valuat_1(D,E)),k6_valuat_1(D,G,k5_valuat_1(D,F))),k6_valuat_1(D,E,k5_valuat_1(D,G))) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_3__bvfunc10),file(bvfunc10,c1_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c1_3__bvfunc10)]).

fof(dh_c2_3__bvfunc10,definition,
    ( ( m2_fraenkel(c2_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
     => ! [A] : 
          ( m2_fraenkel(A,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
         => ! [B] : 
              ( m2_fraenkel(B,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
             => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,A)),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,B))),k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,A))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,B))) ) ) )
   => ! [C] : 
        ( m2_fraenkel(C,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
       => ! [D] : 
            ( m2_fraenkel(D,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
           => ! [E] : 
                ( m2_fraenkel(E,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
               => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,D)),k6_valuat_1(c1_3__bvfunc10,D,k5_valuat_1(c1_3__bvfunc10,E))),k6_valuat_1(c1_3__bvfunc10,E,k5_valuat_1(c1_3__bvfunc10,C))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,D,k5_valuat_1(c1_3__bvfunc10,C)),k6_valuat_1(c1_3__bvfunc10,E,k5_valuat_1(c1_3__bvfunc10,D))),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,E))) ) ) ) ),
    introduced(definition,[new_symbol(c2_3__bvfunc10),file(bvfunc10,c2_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c2_3__bvfunc10)]).

fof(dh_c3_3__bvfunc10,definition,
    ( ( m2_fraenkel(c3_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
     => ! [A] : 
          ( m2_fraenkel(A,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
         => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,A))),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,A))) ) )
   => ! [B] : 
        ( m2_fraenkel(B,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
       => ! [C] : 
            ( m2_fraenkel(C,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
           => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,B)),k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,C))),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,B))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,C))) ) ) ),
    introduced(definition,[new_symbol(c3_3__bvfunc10),file(bvfunc10,c3_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c3_3__bvfunc10)]).

fof(dh_c4_3__bvfunc10,definition,
    ( ( m2_fraenkel(c4_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
     => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))) )
   => ! [A] : 
        ( m2_fraenkel(A,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
       => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,A))),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,A))) ) ),
    introduced(definition,[new_symbol(c4_3__bvfunc10),file(bvfunc10,c4_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c4_3__bvfunc10)]).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

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_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k2_zfmisc_1)]).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

fof(cc1_fraenkel,theorem,(
    ! [A] : 
      ( v1_fraenkel(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_relat_1(B)
            & v1_funct_1(B) ) ) ) ),
    file(fraenkel,cc1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,cc1_fraenkel)]).

fof(fc3_valuat_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A) )
     => ( v1_relat_1(k3_valuat_1(A))
        & v1_funct_1(k3_valuat_1(A))
        & v1_valuat_1(k3_valuat_1(A)) ) ) ),
    file(valuat_1,fc3_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,fc3_valuat_1)]).

fof(fc4_valuat_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => ( v1_relat_1(k4_valuat_1(A,B))
        & v1_funct_1(k4_valuat_1(A,B))
        & v1_valuat_1(k4_valuat_1(A,B)) ) ) ),
    file(valuat_1,fc4_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,fc4_valuat_1)]).

fof(rc1_fraenkel,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_fraenkel(A) ) ),
    file(fraenkel,rc1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,rc1_fraenkel)]).

fof(rc1_valuat_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_valuat_1(A) ) ),
    file(valuat_1,rc1_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,rc1_valuat_1)]).

fof(rc2_margrel1,theorem,(
    ? [A] : v2_margrel1(A) ),
    file(margrel1,rc2_margrel1),
    [interesting(0.9),axiom,file(margrel1,rc2_margrel1)]).

fof(commutativity_k4_valuat_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => k4_valuat_1(A,B) = k4_valuat_1(B,A) ) ),
    file(valuat_1,k4_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k4_valuat_1)]).

fof(commutativity_k6_bvfunc_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => k6_bvfunc_1(A,B) = k6_bvfunc_1(B,A) ) ),
    file(bvfunc_1,k6_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k6_bvfunc_1)]).

fof(existence_m1_fraenkel,axiom,(
    ! [A,B] : 
    ? [C] : m1_fraenkel(C,A,B) ),
    file(fraenkel,m1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,m1_fraenkel)]).

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(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(redefinition_m2_relset_1,definition,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(dt_k1_funct_2,axiom,(
    $true ),
    file(funct_2,k1_funct_2),
    [interesting(0.9),axiom,file(funct_2,k1_funct_2)]).

fof(dt_k3_valuat_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A) )
     => ( v1_relat_1(k3_valuat_1(A))
        & v1_funct_1(k3_valuat_1(A)) ) ) ),
    file(valuat_1,k3_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k3_valuat_1)]).

fof(dt_k4_valuat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => ( v1_relat_1(k4_valuat_1(A,B))
        & v1_funct_1(k4_valuat_1(A,B)) ) ) ),
    file(valuat_1,k4_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k4_valuat_1)]).

fof(dt_k6_bvfunc_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_valuat_1(B) )
     => ( v1_relat_1(k6_bvfunc_1(A,B))
        & v1_funct_1(k6_bvfunc_1(A,B)) ) ) ),
    file(bvfunc_1,k6_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k6_bvfunc_1)]).

fof(dt_m1_fraenkel,axiom,(
    ! [A,B,C] : 
      ( m1_fraenkel(C,A,B)
     => ( ~ v1_xboole_0(C)
        & v1_fraenkel(C) ) ) ),
    file(fraenkel,m1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,m1_fraenkel)]).

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_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(cc1_margrel1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => v2_margrel1(A) ) ),
    file(margrel1,cc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,cc1_margrel1)]).

fof(cc1_valuat_1,theorem,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
     => v1_valuat_1(B) ) ),
    file(valuat_1,cc1_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,cc1_valuat_1)]).

fof(fc1_fraenkel,theorem,(
    ! [A,B] : v1_fraenkel(k1_funct_2(A,B)) ),
    file(fraenkel,fc1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,fc1_fraenkel)]).

fof(commutativity_k6_valuat_1,theorem,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => k6_valuat_1(A,B,C) = k6_valuat_1(A,C,B) ) ),
    file(valuat_1,k6_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k6_valuat_1)]).

fof(commutativity_k8_bvfunc_1,theorem,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => k8_bvfunc_1(A,B,C) = k8_bvfunc_1(A,C,B) ) ),
    file(bvfunc_1,k8_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k8_bvfunc_1)]).

fof(reflexivity_r1_bvfunc_1,theorem,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => r1_bvfunc_1(A,B,B) ) ),
    file(bvfunc_1,r1_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,r1_bvfunc_1)]).

fof(existence_m2_fraenkel,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & m1_fraenkel(C,A,B) )
     => ? [D] : m2_fraenkel(D,A,B,C) ) ),
    file(fraenkel,m2_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,m2_fraenkel)]).

fof(redefinition_k1_fraenkel,definition,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => k1_fraenkel(A,B) = k1_funct_2(A,B) ) ),
    file(fraenkel,k1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,k1_fraenkel)]).

fof(redefinition_k5_valuat_1,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1)) )
     => k5_valuat_1(A,B) = k3_valuat_1(B) ) ),
    file(valuat_1,k5_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k5_valuat_1)]).

fof(redefinition_k6_valuat_1,definition,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => k6_valuat_1(A,B,C) = k4_valuat_1(B,C) ) ),
    file(valuat_1,k6_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k6_valuat_1)]).

fof(redefinition_k8_bvfunc_1,definition,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => k8_bvfunc_1(A,B,C) = k6_bvfunc_1(B,C) ) ),
    file(bvfunc_1,k8_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k8_bvfunc_1)]).

fof(redefinition_m2_fraenkel,definition,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & m1_fraenkel(C,A,B) )
     => ! [D] : 
          ( m2_fraenkel(D,A,B,C)
        <=> m1_subset_1(D,C) ) ) ),
    file(fraenkel,m2_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,m2_fraenkel)]).

fof(dt_k1_fraenkel,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => m1_fraenkel(k1_fraenkel(A,B),A,B) ) ),
    file(fraenkel,k1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,k1_fraenkel)]).

fof(dt_k5_valuat_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1)) )
     => m2_fraenkel(k5_valuat_1(A,B),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(valuat_1,k5_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k5_valuat_1)]).

fof(dt_k6_margrel1,axiom,(
    $true ),
    file(margrel1,k6_margrel1),
    [interesting(0.9),axiom,file(margrel1,k6_margrel1)]).

fof(dt_k6_valuat_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => m2_fraenkel(k6_valuat_1(A,B,C),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(valuat_1,k6_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,k6_valuat_1)]).

fof(dt_k8_bvfunc_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_fraenkel(A,k6_margrel1)) )
     => m2_fraenkel(k8_bvfunc_1(A,B,C),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(bvfunc_1,k8_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k8_bvfunc_1)]).

fof(dt_m2_fraenkel,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & m1_fraenkel(C,A,B) )
     => ! [D] : 
          ( m2_fraenkel(D,A,B,C)
         => ( v1_funct_1(D)
            & v1_funct_2(D,A,B)
            & m2_relset_1(D,A,B) ) ) ) ),
    file(fraenkel,m2_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,m2_fraenkel)]).

fof(dt_c1_3__bvfunc10,assumption,(
    ~ v1_xboole_0(c1_3__bvfunc10) ),
    introduced(assumption,[file(bvfunc10,c1_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c1_3__bvfunc10)]).

fof(dt_c2_3__bvfunc10,assumption,(
    m2_fraenkel(c2_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc10,c2_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c2_3__bvfunc10)]).

fof(dt_c3_3__bvfunc10,assumption,(
    m2_fraenkel(c3_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc10,c3_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c3_3__bvfunc10)]).

fof(dt_c4_3__bvfunc10,assumption,(
    m2_fraenkel(c4_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc10,c4_3__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c4_3__bvfunc10)]).

fof(fc3_margrel1,theorem,(
    ~ v1_xboole_0(k6_margrel1) ),
    file(margrel1,fc3_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc3_margrel1)]).

fof(l2_bvfunc10,plain,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => r1_bvfunc_1(A,k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),k6_valuat_1(A,C,k5_valuat_1(A,D))),k6_valuat_1(A,D,k5_valuat_1(A,B))),k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,C,k5_valuat_1(A,B)),k6_valuat_1(A,D,k5_valuat_1(A,C))),k6_valuat_1(A,B,k5_valuat_1(A,D)))) ) ) ) ) ),
    file(bvfunc10,l2_bvfunc10),
    [interesting(0.9),axiom,file(bvfunc10,l2_bvfunc10)]).

fof(e2_3__bvfunc10,plain,(
    r1_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))),k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc10,dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,fc3_valuat_1,fc4_valuat_1,rc1_fraenkel,rc1_valuat_1,rc2_margrel1,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_subset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k3_valuat_1,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_subset_1,dt_m2_relset_1,cc1_margrel1,cc1_valuat_1,fc1_fraenkel,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,reflexivity_r1_bvfunc_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k5_valuat_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k5_valuat_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_m2_fraenkel,dt_c1_3__bvfunc10,dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10,fc3_margrel1,l2_bvfunc10]),
    [interesting(0.8),file(bvfunc10,e2_3__bvfunc10),[file(bvfunc10,e2_3__bvfunc10)]]).

fof(e1_3__bvfunc10,plain,(
    r1_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))),k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc10,dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,fc3_valuat_1,fc4_valuat_1,rc1_fraenkel,rc1_valuat_1,rc2_margrel1,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_subset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k3_valuat_1,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_subset_1,dt_m2_relset_1,cc1_margrel1,cc1_valuat_1,fc1_fraenkel,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,reflexivity_r1_bvfunc_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k5_valuat_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k5_valuat_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_m2_fraenkel,dt_c1_3__bvfunc10,dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10,fc3_margrel1,l2_bvfunc10]),
    [interesting(0.8),file(bvfunc10,e1_3__bvfunc10),[file(bvfunc10,e1_3__bvfunc10)]]).

fof(t18_bvfunc_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => ( ( ( r1_bvfunc_1(A,B,C)
                        & r1_bvfunc_1(A,C,B) )
                     => B = C )
                    & ( ( r1_bvfunc_1(A,B,C)
                        & r1_bvfunc_1(A,C,D) )
                     => r1_bvfunc_1(A,B,D) ) ) ) ) ) ) ),
    file(bvfunc_1,t18_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,t18_bvfunc_1)]).

fof(e3_3__bvfunc10,plain,(
    k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc10,dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,fc3_valuat_1,fc4_valuat_1,rc1_fraenkel,rc1_valuat_1,rc2_margrel1,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_subset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k3_valuat_1,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_subset_1,dt_m2_relset_1,cc1_margrel1,cc1_valuat_1,fc1_fraenkel,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,reflexivity_r1_bvfunc_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k5_valuat_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k5_valuat_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_m2_fraenkel,dt_c1_3__bvfunc10,dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10,fc3_margrel1,e2_3__bvfunc10,e1_3__bvfunc10,t18_bvfunc_1]),
    [interesting(0.8),file(bvfunc10,e3_3__bvfunc10),[file(bvfunc10,e3_3__bvfunc10)]]).

fof(i3_3__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i3_3__bvfunc10)]),
    [interesting(0.8),trivial,file(bvfunc10,i3_3__bvfunc10)]).

fof(i2_3__bvfunc10,plain,(
    k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_3__bvfunc10,dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10])],[e3_3__bvfunc10,i3_3__bvfunc10]),
    [interesting(0.8),file(bvfunc10,i2_3__bvfunc10),[file(bvfunc10,i2_3__bvfunc10)]]).

fof(i2_3_tmp__bvfunc10,plain,
    ( ( m2_fraenkel(c2_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
      & m2_fraenkel(c3_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
      & m2_fraenkel(c4_3__bvfunc10,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1)) )
   => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10)),k6_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c3_3__bvfunc10))),k6_valuat_1(c1_3__bvfunc10,c2_3__bvfunc10,k5_valuat_1(c1_3__bvfunc10,c4_3__bvfunc10))) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_3__bvfunc10]),discharge_asm(discharge,[dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10])],[dt_c2_3__bvfunc10,dt_c3_3__bvfunc10,dt_c4_3__bvfunc10,i2_3__bvfunc10]),
    [interesting(0.8),i1_3__bvfunc10]).

fof(i1_3__bvfunc10,plain,(
    ! [A] : 
      ( m2_fraenkel(A,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
     => ! [B] : 
          ( m2_fraenkel(B,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
             => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,B)),k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,C))),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,A))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,A)),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,B))),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,C))) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_3__bvfunc10])],[i2_3_tmp__bvfunc10,dh_c2_3__bvfunc10,dh_c3_3__bvfunc10,dh_c4_3__bvfunc10]),
    [interesting(0.8),file(bvfunc10,i1_3__bvfunc10),[file(bvfunc10,i1_3__bvfunc10)]]).

fof(i1_3_tmp__bvfunc10,plain,
    ( ~ v1_xboole_0(c1_3__bvfunc10)
   => ! [A] : 
        ( m2_fraenkel(A,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
       => ! [B] : 
            ( m2_fraenkel(B,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
           => ! [C] : 
                ( m2_fraenkel(C,c1_3__bvfunc10,k6_margrel1,k1_fraenkel(c1_3__bvfunc10,k6_margrel1))
               => k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,B)),k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,C))),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,A))) = k8_bvfunc_1(c1_3__bvfunc10,k8_bvfunc_1(c1_3__bvfunc10,k6_valuat_1(c1_3__bvfunc10,B,k5_valuat_1(c1_3__bvfunc10,A)),k6_valuat_1(c1_3__bvfunc10,C,k5_valuat_1(c1_3__bvfunc10,B))),k6_valuat_1(c1_3__bvfunc10,A,k5_valuat_1(c1_3__bvfunc10,C))) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_3__bvfunc10])],[dt_c1_3__bvfunc10,i1_3__bvfunc10]),
    [interesting(1),t2_bvfunc10]).

fof(t2_bvfunc10,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
             => ! [D] : 
                  ( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                 => k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),k6_valuat_1(A,C,k5_valuat_1(A,D))),k6_valuat_1(A,D,k5_valuat_1(A,B))) = k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,C,k5_valuat_1(A,B)),k6_valuat_1(A,D,k5_valuat_1(A,C))),k6_valuat_1(A,B,k5_valuat_1(A,D))) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_3_tmp__bvfunc10,dh_c1_3__bvfunc10]),
    [interesting(1),file(bvfunc10,t2_bvfunc10),[file(bvfunc10,t2_bvfunc10)]]).