% Mizar ND problem: t6_bvfunc_6,bvfunc_6,219,62 
fof(dh_c1_6__bvfunc_6,definition,
    ( ( ~ v1_xboole_0(c1_6__bvfunc_6)
     => ! [A] : 
          ( m2_fraenkel(A,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
         => ! [B] : 
              ( m2_fraenkel(B,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
             => ! [C] : 
                  ( m2_fraenkel(C,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
                 => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,A),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,B),k14_bvfunc_1(c1_6__bvfunc_6,C,k6_valuat_1(c1_6__bvfunc_6,A,B)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) ) ) )
   => ! [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))
                   => k14_bvfunc_1(D,k14_bvfunc_1(D,G,E),k14_bvfunc_1(D,k14_bvfunc_1(D,G,F),k14_bvfunc_1(D,G,k6_valuat_1(D,E,F)))) = k19_bvfunc_1(D) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_6__bvfunc_6),file(bvfunc_6,c1_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c1_6__bvfunc_6)]).

fof(dh_c2_6__bvfunc_6,definition,
    ( ( m2_fraenkel(c2_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
     => ! [A] : 
          ( m2_fraenkel(A,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
         => ! [B] : 
              ( m2_fraenkel(B,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
             => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,B,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,B,A),k14_bvfunc_1(c1_6__bvfunc_6,B,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,A)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) ) )
   => ! [C] : 
        ( m2_fraenkel(C,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
       => ! [D] : 
            ( m2_fraenkel(D,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
           => ! [E] : 
                ( m2_fraenkel(E,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
               => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,E,C),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,E,D),k14_bvfunc_1(c1_6__bvfunc_6,E,k6_valuat_1(c1_6__bvfunc_6,C,D)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) ) ) ),
    introduced(definition,[new_symbol(c2_6__bvfunc_6),file(bvfunc_6,c2_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c2_6__bvfunc_6)]).

fof(dh_c3_6__bvfunc_6,definition,
    ( ( m2_fraenkel(c3_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
     => ! [A] : 
          ( m2_fraenkel(A,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
         => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,A,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,A,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,A,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) )
   => ! [B] : 
        ( m2_fraenkel(B,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
       => ! [C] : 
            ( m2_fraenkel(C,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
           => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,B),k14_bvfunc_1(c1_6__bvfunc_6,C,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,B)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) ) ),
    introduced(definition,[new_symbol(c3_6__bvfunc_6),file(bvfunc_6,c3_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c3_6__bvfunc_6)]).

fof(dh_c4_6__bvfunc_6,definition,
    ( ( m2_fraenkel(c4_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
     => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))) = k19_bvfunc_1(c1_6__bvfunc_6) )
   => ! [A] : 
        ( m2_fraenkel(A,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
       => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,A,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,A,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,A,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) ),
    introduced(definition,[new_symbol(c4_6__bvfunc_6),file(bvfunc_6,c4_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c4_6__bvfunc_6)]).

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

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(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_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_k12_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(k12_bvfunc_1(A,B))
        & v1_funct_1(k12_bvfunc_1(A,B)) ) ) ),
    file(bvfunc_1,k12_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k12_bvfunc_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_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_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_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(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(fc2_valuat_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_valuat_1(A) )
     => v2_margrel1(k1_funct_1(A,B)) ) ),
    file(valuat_1,fc2_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,fc2_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_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_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(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_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_k14_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)) )
     => k14_bvfunc_1(A,B,C) = k12_bvfunc_1(B,C) ) ),
    file(bvfunc_1,k14_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k14_bvfunc_1)]).

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_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_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_k14_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(k14_bvfunc_1(A,B,C),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(bvfunc_1,k14_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k14_bvfunc_1)]).

fof(dt_k19_bvfunc_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => m2_fraenkel(k19_bvfunc_1(A),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(bvfunc_1,k19_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,k19_bvfunc_1)]).

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_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    [interesting(0.9),axiom,file(funct_1,k1_funct_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_margrel1,axiom,(
    m1_subset_1(k8_margrel1,k6_margrel1) ),
    file(margrel1,k8_margrel1),
    [interesting(0.9),axiom,file(margrel1,k8_margrel1)]).

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_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_6__bvfunc_6,assumption,(
    ~ v1_xboole_0(c1_6__bvfunc_6) ),
    introduced(assumption,[file(bvfunc_6,c1_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c1_6__bvfunc_6)]).

fof(dt_c2_6__bvfunc_6,assumption,(
    m2_fraenkel(c2_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc_6,c2_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c2_6__bvfunc_6)]).

fof(dt_c3_6__bvfunc_6,assumption,(
    m2_fraenkel(c3_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc_6,c3_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c3_6__bvfunc_6)]).

fof(dt_c4_6__bvfunc_6,assumption,(
    m2_fraenkel(c4_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc_6,c4_6__bvfunc_6)]),
    [interesting(0.8),axiom,file(bvfunc_6,c4_6__bvfunc_6)]).

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

fof(dh_c1_6_1__bvfunc_6,definition,
    ( ( m1_subset_1(c1_6_1__bvfunc_6,c1_6__bvfunc_6)
     => k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),c1_6_1__bvfunc_6) = k8_margrel1 )
   => ! [A] : 
        ( m1_subset_1(A,c1_6__bvfunc_6)
       => k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),A) = k8_margrel1 ) ),
    introduced(definition,[new_symbol(c1_6_1__bvfunc_6),file(bvfunc_6,c1_6_1__bvfunc_6)]),
    [interesting(0.65),axiom,file(bvfunc_6,c1_6_1__bvfunc_6)]).

fof(dt_c1_6_1__bvfunc_6,assumption,(
    m1_subset_1(c1_6_1__bvfunc_6,c1_6__bvfunc_6) ),
    introduced(assumption,[file(bvfunc_6,c1_6_1__bvfunc_6)]),
    [interesting(0.65),axiom,file(bvfunc_6,c1_6_1__bvfunc_6)]).

fof(fc1_binarith,theorem,(
    ! [A,B] : 
      ( ( v2_margrel1(A)
        & v2_margrel1(B) )
     => v2_margrel1(k1_binarith(A,B)) ) ),
    file(binarith,fc1_binarith),
    [interesting(0.9),axiom,file(binarith,fc1_binarith)]).

fof(fc4_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => v2_margrel1(k9_margrel1(A)) ) ),
    file(margrel1,fc4_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc4_margrel1)]).

fof(commutativity_k1_binarith,theorem,(
    ! [A,B] : 
      ( ( v2_margrel1(A)
        & v2_margrel1(B) )
     => k1_binarith(A,B) = k1_binarith(B,A) ) ),
    file(binarith,k1_binarith),
    [interesting(0.9),axiom,file(binarith,k1_binarith)]).

fof(involutiveness_k9_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k9_margrel1(k9_margrel1(A)) = A ) ),
    file(margrel1,k9_margrel1),
    [interesting(0.9),axiom,file(margrel1,k9_margrel1)]).

fof(redefinition_k8_funct_2,definition,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(funct_2,k8_funct_2),
    [interesting(0.9),axiom,file(funct_2,k8_funct_2)]).

fof(dt_k1_binarith,axiom,(
    $true ),
    file(binarith,k1_binarith),
    [interesting(0.9),axiom,file(binarith,k1_binarith)]).

fof(dt_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_funct_2(A,B,C,D),B) ) ),
    file(funct_2,k8_funct_2),
    [interesting(0.9),axiom,file(funct_2,k8_funct_2)]).

fof(dt_k9_margrel1,axiom,(
    ! [A] : 
      ( v2_margrel1(A)
     => v2_margrel1(k9_margrel1(A)) ) ),
    file(margrel1,k9_margrel1),
    [interesting(0.9),axiom,file(margrel1,k9_margrel1)]).

fof(d11_bvfunc_1,definition,(
    ! [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))
                 => ( D = k14_bvfunc_1(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,A)
                       => k8_funct_2(A,k6_margrel1,D,E) = k1_binarith(k9_margrel1(k1_funct_1(B,E)),k1_funct_1(C,E)) ) ) ) ) ) ) ),
    file(bvfunc_1,d11_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,d11_bvfunc_1)]).

fof(e1_6_1_1__bvfunc_6,plain,(
    k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),c1_6_1__bvfunc_6) = k1_binarith(k9_margrel1(k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),c1_6_1__bvfunc_6)),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6))),c1_6_1__bvfunc_6)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k12_bvfunc_1,dt_k1_funct_2,dt_k4_valuat_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_margrel1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,involutiveness_k9_margrel1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k14_bvfunc_1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k14_bvfunc_1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_funct_2,dt_k9_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d11_bvfunc_1]),
    [interesting(0.5),file(bvfunc_6,e1_6_1_1__bvfunc_6),[file(bvfunc_6,e1_6_1_1__bvfunc_6)]]).

fof(e2_6_1_1__bvfunc_6,plain,(
    k1_binarith(k9_margrel1(k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),c1_6_1__bvfunc_6)),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6))),c1_6_1__bvfunc_6)) = k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6))),c1_6_1__bvfunc_6)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k12_bvfunc_1,dt_k1_funct_2,dt_k4_valuat_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_margrel1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,involutiveness_k9_margrel1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k14_bvfunc_1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k14_bvfunc_1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_funct_2,dt_k9_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d11_bvfunc_1]),
    [interesting(0.5),file(bvfunc_6,e2_6_1_1__bvfunc_6),[file(bvfunc_6,e2_6_1_1__bvfunc_6)]]).

fof(e3_6_1_1__bvfunc_6,plain,(
    k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6))),c1_6_1__bvfunc_6)) = k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),c1_6_1__bvfunc_6)),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)),c1_6_1__bvfunc_6))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k12_bvfunc_1,dt_k1_funct_2,dt_k4_valuat_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_margrel1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,involutiveness_k9_margrel1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k14_bvfunc_1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k14_bvfunc_1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_funct_2,dt_k9_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d11_bvfunc_1]),
    [interesting(0.5),file(bvfunc_6,e3_6_1_1__bvfunc_6),[file(bvfunc_6,e3_6_1_1__bvfunc_6)]]).

fof(e4_6_1_1__bvfunc_6,plain,(
    k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),c1_6_1__bvfunc_6)),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)),c1_6_1__bvfunc_6))) = k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)),c1_6_1__bvfunc_6))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k12_bvfunc_1,dt_k1_funct_2,dt_k4_valuat_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_margrel1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,involutiveness_k9_margrel1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k14_bvfunc_1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k14_bvfunc_1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_funct_2,dt_k9_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d11_bvfunc_1]),
    [interesting(0.5),file(bvfunc_6,e4_6_1_1__bvfunc_6),[file(bvfunc_6,e4_6_1_1__bvfunc_6)]]).

fof(e5_6_1_1__bvfunc_6,plain,(
    k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)),c1_6_1__bvfunc_6))) = k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6),c1_6_1__bvfunc_6)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k12_bvfunc_1,dt_k1_funct_2,dt_k4_valuat_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_margrel1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,involutiveness_k9_margrel1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k14_bvfunc_1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k14_bvfunc_1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_funct_2,dt_k9_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d11_bvfunc_1]),
    [interesting(0.5),file(bvfunc_6,e5_6_1_1__bvfunc_6),[file(bvfunc_6,e5_6_1_1__bvfunc_6)]]).

fof(fc5_margrel1,theorem,(
    ! [A,B] : 
      ( ( v2_margrel1(A)
        & v2_margrel1(B) )
     => v2_margrel1(k10_margrel1(A,B)) ) ),
    file(margrel1,fc5_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc5_margrel1)]).

fof(commutativity_k10_margrel1,theorem,(
    ! [A,B] : 
      ( ( v2_margrel1(A)
        & v2_margrel1(B) )
     => k10_margrel1(A,B) = k10_margrel1(B,A) ) ),
    file(margrel1,k10_margrel1),
    [interesting(0.9),axiom,file(margrel1,k10_margrel1)]).

fof(commutativity_k12_margrel1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => k12_margrel1(A,B) = k12_margrel1(B,A) ) ),
    file(margrel1,k12_margrel1),
    [interesting(0.9),axiom,file(margrel1,k12_margrel1)]).

fof(redefinition_k12_margrel1,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => k12_margrel1(A,B) = k10_margrel1(A,B) ) ),
    file(margrel1,k12_margrel1),
    [interesting(0.9),axiom,file(margrel1,k12_margrel1)]).

fof(dt_k10_margrel1,axiom,(
    $true ),
    file(margrel1,k10_margrel1),
    [interesting(0.9),axiom,file(margrel1,k10_margrel1)]).

fof(dt_k12_margrel1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => m1_subset_1(k12_margrel1(A,B),k6_margrel1) ) ),
    file(margrel1,k12_margrel1),
    [interesting(0.9),axiom,file(margrel1,k12_margrel1)]).

fof(d6_valuat_1,definition,(
    ! [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))
                 => ( D = k6_valuat_1(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,A)
                       => k8_funct_2(A,k6_margrel1,D,E) = k12_margrel1(k8_funct_2(A,k6_margrel1,B,E),k8_funct_2(A,k6_margrel1,C,E)) ) ) ) ) ) ) ),
    file(valuat_1,d6_valuat_1),
    [interesting(0.9),axiom,file(valuat_1,d6_valuat_1)]).

fof(e6_6_1_1__bvfunc_6,plain,(
    k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6),c1_6_1__bvfunc_6)))) = k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k4_valuat_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_margrel1,fc4_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,involutiveness_k9_margrel1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k12_margrel1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k12_margrel1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_funct_2,dt_k9_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.5),file(bvfunc_6,e6_6_1_1__bvfunc_6),[file(bvfunc_6,e6_6_1_1__bvfunc_6)]]).

fof(t10_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => k9_margrel1(k1_binarith(A,B)) = k10_margrel1(k9_margrel1(A),k9_margrel1(B)) ) ) ),
    file(binarith,t10_binarith),
    [interesting(0.9),axiom,file(binarith,t10_binarith)]).

fof(e7_6_1_1__bvfunc_6,plain,(
    k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t10_binarith]),
    [interesting(0.5),file(bvfunc_6,e7_6_1_1__bvfunc_6),[file(bvfunc_6,e7_6_1_1__bvfunc_6)]]).

fof(e8_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t10_binarith]),
    [interesting(0.5),file(bvfunc_6,e8_6_1_1__bvfunc_6),[file(bvfunc_6,e8_6_1_1__bvfunc_6)]]).

fof(t40_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k9_margrel1(k9_margrel1(A)) = A ) ),
    file(margrel1,t40_margrel1),
    [interesting(0.9),axiom,file(margrel1,t40_margrel1)]).

fof(e9_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t40_margrel1]),
    [interesting(0.5),file(bvfunc_6,e9_6_1_1__bvfunc_6),[file(bvfunc_6,e9_6_1_1__bvfunc_6)]]).

fof(e10_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k9_margrel1(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t40_margrel1]),
    [interesting(0.5),file(bvfunc_6,e10_6_1_1__bvfunc_6),[file(bvfunc_6,e10_6_1_1__bvfunc_6)]]).

fof(t23_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ! [C] : 
              ( v2_margrel1(C)
             => k1_binarith(A,k10_margrel1(B,C)) = k10_margrel1(k1_binarith(A,B),k1_binarith(A,C)) ) ) ) ),
    file(binarith,t23_binarith),
    [interesting(0.9),axiom,file(binarith,t23_binarith)]).

fof(e11_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t23_binarith]),
    [interesting(0.5),file(bvfunc_6,e11_6_1_1__bvfunc_6),[file(bvfunc_6,e11_6_1_1__bvfunc_6)]]).

fof(e12_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t23_binarith]),
    [interesting(0.5),file(bvfunc_6,e12_6_1_1__bvfunc_6),[file(bvfunc_6,e12_6_1_1__bvfunc_6)]]).

fof(e13_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k9_margrel1(k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t40_margrel1]),
    [interesting(0.5),file(bvfunc_6,e13_6_1_1__bvfunc_6),[file(bvfunc_6,e13_6_1_1__bvfunc_6)]]).

fof(t9_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => k9_margrel1(k10_margrel1(A,B)) = k1_binarith(k9_margrel1(A),k9_margrel1(B)) ) ) ),
    file(binarith,t9_binarith),
    [interesting(0.9),axiom,file(binarith,t9_binarith)]).

fof(e14_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k9_margrel1(k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t9_binarith]),
    [interesting(0.5),file(bvfunc_6,e14_6_1_1__bvfunc_6),[file(bvfunc_6,e14_6_1_1__bvfunc_6)]]).

fof(t18_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k1_binarith(A,k9_margrel1(A)) = k8_margrel1 ) ),
    file(binarith,t18_binarith),
    [interesting(0.9),axiom,file(binarith,t18_binarith)]).

fof(e15_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k8_margrel1,k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k8_margrel1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t18_binarith]),
    [interesting(0.5),file(bvfunc_6,e15_6_1_1__bvfunc_6),[file(bvfunc_6,e15_6_1_1__bvfunc_6)]]).

fof(t50_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k10_margrel1(k8_margrel1,A) = A ) ),
    file(margrel1,t50_margrel1),
    [interesting(0.9),axiom,file(margrel1,t50_margrel1)]).

fof(e16_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k8_margrel1,k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k8_margrel1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t50_margrel1]),
    [interesting(0.5),file(bvfunc_6,e16_6_1_1__bvfunc_6),[file(bvfunc_6,e16_6_1_1__bvfunc_6)]]).

fof(t20_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ! [C] : 
              ( v2_margrel1(C)
             => k1_binarith(k1_binarith(A,B),C) = k1_binarith(A,k1_binarith(B,C)) ) ) ) ),
    file(binarith,t20_binarith),
    [interesting(0.9),axiom,file(binarith,t20_binarith)]).

fof(e17_6_1_1__bvfunc_6,plain,(
    k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6)),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6))))) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t20_binarith]),
    [interesting(0.5),file(bvfunc_6,e17_6_1_1__bvfunc_6),[file(bvfunc_6,e17_6_1_1__bvfunc_6)]]).

fof(e18_6_1_1__bvfunc_6,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k9_margrel1(k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))))),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t40_margrel1]),
    [interesting(0.5),file(bvfunc_6,e18_6_1_1__bvfunc_6),[file(bvfunc_6,e18_6_1_1__bvfunc_6)]]).

fof(e19_6_1_1__bvfunc_6,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k1_binarith(k9_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6)),k9_margrel1(k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))))),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))))),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t9_binarith]),
    [interesting(0.5),file(bvfunc_6,e19_6_1_1__bvfunc_6),[file(bvfunc_6,e19_6_1_1__bvfunc_6)]]).

fof(e20_6_1_1__bvfunc_6,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))),k9_margrel1(k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c2_6__bvfunc_6,c1_6_1__bvfunc_6))))),k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) = k1_binarith(k8_margrel1,k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k8_margrel1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t18_binarith]),
    [interesting(0.5),file(bvfunc_6,e20_6_1_1__bvfunc_6),[file(bvfunc_6,e20_6_1_1__bvfunc_6)]]).

fof(t19_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k1_binarith(A,k8_margrel1) = k8_margrel1 ) ),
    file(binarith,t19_binarith),
    [interesting(0.9),axiom,file(binarith,t19_binarith)]).

fof(e21_6_1_1__bvfunc_6,plain,(
    k1_binarith(k8_margrel1,k10_margrel1(k1_funct_1(c4_6__bvfunc_6,c1_6_1__bvfunc_6),k9_margrel1(k1_funct_1(c3_6__bvfunc_6,c1_6_1__bvfunc_6)))) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,involutiveness_k9_margrel1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k8_margrel1,dt_k9_margrel1,dt_c1_6_1__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,fc1_binarith,fc4_margrel1,fc5_margrel1,rc2_margrel1,t19_binarith]),
    [interesting(0.5),file(bvfunc_6,e21_6_1_1__bvfunc_6),[file(bvfunc_6,e21_6_1_1__bvfunc_6)]]).

fof(e1_6_1__bvfunc_6,plain,(
    k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),c1_6_1__bvfunc_6) = k8_margrel1 ),
    inference(iterative_eq,[status(thm),assumptions([dt_c2_6__bvfunc_6,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[e1_6_1_1__bvfunc_6,e2_6_1_1__bvfunc_6,e3_6_1_1__bvfunc_6,e4_6_1_1__bvfunc_6,e5_6_1_1__bvfunc_6,e6_6_1_1__bvfunc_6,e7_6_1_1__bvfunc_6,e8_6_1_1__bvfunc_6,e9_6_1_1__bvfunc_6,e10_6_1_1__bvfunc_6,e11_6_1_1__bvfunc_6,e12_6_1_1__bvfunc_6,e13_6_1_1__bvfunc_6,e14_6_1_1__bvfunc_6,e15_6_1_1__bvfunc_6,e16_6_1_1__bvfunc_6,e17_6_1_1__bvfunc_6,e18_6_1_1__bvfunc_6,e19_6_1_1__bvfunc_6,e20_6_1_1__bvfunc_6,e21_6_1_1__bvfunc_6]),
    [interesting(0.65),file(bvfunc_6,e1_6_1__bvfunc_6),[file(bvfunc_6,e1_6_1__bvfunc_6)]]).

fof(e2_6_1__bvfunc_6,plain,(
    k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),c1_6_1__bvfunc_6) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_6__bvfunc_6,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k4_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k12_bvfunc_1,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k6_valuat_1,redefinition_k14_bvfunc_1,redefinition_k6_valuat_1,dt_k14_bvfunc_1,dt_k1_funct_1,dt_k6_valuat_1,dt_k8_margrel1,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,e1_6_1__bvfunc_6]),
    [interesting(0.65),file(bvfunc_6,e2_6_1__bvfunc_6),[file(bvfunc_6,e2_6_1__bvfunc_6)]]).

fof(i2_6_1__bvfunc_6,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc_6,i2_6_1__bvfunc_6)]),
    [interesting(0.65),trivial,file(bvfunc_6,i2_6_1__bvfunc_6)]).

fof(i1_6_1__bvfunc_6,plain,(
    k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),c1_6_1__bvfunc_6) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([dt_c2_6__bvfunc_6,dt_c1_6__bvfunc_6,dt_c1_6_1__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[e2_6_1__bvfunc_6,i2_6_1__bvfunc_6]),
    [interesting(0.65),file(bvfunc_6,i1_6_1__bvfunc_6),[file(bvfunc_6,i1_6_1__bvfunc_6)]]).

fof(i1_6_1_tmp__bvfunc_6,plain,
    ( m1_subset_1(c1_6_1__bvfunc_6,c1_6__bvfunc_6)
   => k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),c1_6_1__bvfunc_6) = k8_margrel1 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_6__bvfunc_6,dt_c1_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6]),discharge_asm(discharge,[dt_c1_6_1__bvfunc_6])],[dt_c1_6_1__bvfunc_6,i1_6_1__bvfunc_6]),
    [interesting(0.8),e1_6__bvfunc_6]).

fof(e1_6__bvfunc_6,plain,(
    ! [A] : 
      ( m1_subset_1(A,c1_6__bvfunc_6)
     => k1_funct_1(k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))),A) = k8_margrel1 ) ),
    inference(let,[status(thm),assumptions([dt_c2_6__bvfunc_6,dt_c1_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[i1_6_1_tmp__bvfunc_6,dh_c1_6_1__bvfunc_6]),
    [interesting(0.8),file(bvfunc_6,e1_6__bvfunc_6),[file(bvfunc_6,e1_6__bvfunc_6)]]).

fof(d14_bvfunc_1,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ( B = k19_bvfunc_1(A)
          <=> ! [C] : 
                ( m1_subset_1(C,A)
               => k1_funct_1(B,C) = k8_margrel1 ) ) ) ) ),
    file(bvfunc_1,d14_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,d14_bvfunc_1)]).

fof(e2_6__bvfunc_6,plain,(
    k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))) = k19_bvfunc_1(c1_6__bvfunc_6) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_6__bvfunc_6,dt_c1_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k12_bvfunc_1,dt_k1_funct_2,dt_k4_valuat_1,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k6_valuat_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k14_bvfunc_1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_m2_fraenkel,dt_k14_bvfunc_1,dt_k19_bvfunc_1,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_6__bvfunc_6,dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,cc1_margrel1,cc1_valuat_1,fc3_margrel1,e1_6__bvfunc_6,d14_bvfunc_1]),
    [interesting(0.8),file(bvfunc_6,e2_6__bvfunc_6),[file(bvfunc_6,e2_6__bvfunc_6)]]).

fof(i3_6__bvfunc_6,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc_6,i3_6__bvfunc_6)]),
    [interesting(0.8),trivial,file(bvfunc_6,i3_6__bvfunc_6)]).

fof(i2_6__bvfunc_6,plain,(
    k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))) = k19_bvfunc_1(c1_6__bvfunc_6) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_6__bvfunc_6,dt_c1_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[e2_6__bvfunc_6,i3_6__bvfunc_6]),
    [interesting(0.8),file(bvfunc_6,i2_6__bvfunc_6),[file(bvfunc_6,i2_6__bvfunc_6)]]).

fof(i2_6_tmp__bvfunc_6,plain,
    ( ( m2_fraenkel(c2_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
      & m2_fraenkel(c3_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
      & m2_fraenkel(c4_6__bvfunc_6,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1)) )
   => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c2_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,c3_6__bvfunc_6),k14_bvfunc_1(c1_6__bvfunc_6,c4_6__bvfunc_6,k6_valuat_1(c1_6__bvfunc_6,c2_6__bvfunc_6,c3_6__bvfunc_6)))) = k19_bvfunc_1(c1_6__bvfunc_6) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__bvfunc_6]),discharge_asm(discharge,[dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6])],[dt_c2_6__bvfunc_6,dt_c3_6__bvfunc_6,dt_c4_6__bvfunc_6,i2_6__bvfunc_6]),
    [interesting(0.8),i1_6__bvfunc_6]).

fof(i1_6__bvfunc_6,plain,(
    ! [A] : 
      ( m2_fraenkel(A,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
     => ! [B] : 
          ( m2_fraenkel(B,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
             => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,A),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,B),k14_bvfunc_1(c1_6__bvfunc_6,C,k6_valuat_1(c1_6__bvfunc_6,A,B)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_6__bvfunc_6])],[i2_6_tmp__bvfunc_6,dh_c2_6__bvfunc_6,dh_c3_6__bvfunc_6,dh_c4_6__bvfunc_6]),
    [interesting(0.8),file(bvfunc_6,i1_6__bvfunc_6),[file(bvfunc_6,i1_6__bvfunc_6)]]).

fof(i1_6_tmp__bvfunc_6,plain,
    ( ~ v1_xboole_0(c1_6__bvfunc_6)
   => ! [A] : 
        ( m2_fraenkel(A,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
       => ! [B] : 
            ( m2_fraenkel(B,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
           => ! [C] : 
                ( m2_fraenkel(C,c1_6__bvfunc_6,k6_margrel1,k1_fraenkel(c1_6__bvfunc_6,k6_margrel1))
               => k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,A),k14_bvfunc_1(c1_6__bvfunc_6,k14_bvfunc_1(c1_6__bvfunc_6,C,B),k14_bvfunc_1(c1_6__bvfunc_6,C,k6_valuat_1(c1_6__bvfunc_6,A,B)))) = k19_bvfunc_1(c1_6__bvfunc_6) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_6__bvfunc_6])],[dt_c1_6__bvfunc_6,i1_6__bvfunc_6]),
    [interesting(1),t6_bvfunc_6]).

fof(t6_bvfunc_6,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))
                 => k14_bvfunc_1(A,k14_bvfunc_1(A,D,B),k14_bvfunc_1(A,k14_bvfunc_1(A,D,C),k14_bvfunc_1(A,D,k6_valuat_1(A,B,C)))) = k19_bvfunc_1(A) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_6_tmp__bvfunc_6,dh_c1_6__bvfunc_6]),
    [interesting(1),file(bvfunc_6,t6_bvfunc_6),[file(bvfunc_6,t6_bvfunc_6)]]).