% Mizar ND problem: t1_bvfunc10,bvfunc10,26,37 
fof(dh_c1_1__bvfunc10,definition,
    ( ( ~ v1_xboole_0(c1_1__bvfunc10)
     => ! [A] : 
          ( m2_fraenkel(A,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
         => ! [B] : 
              ( m2_fraenkel(B,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
             => ! [C] : 
                  ( m2_fraenkel(C,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
                 => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,A,B),k6_valuat_1(c1_1__bvfunc10,B,C)),k6_valuat_1(c1_1__bvfunc10,C,A)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,A,B),k8_bvfunc_1(c1_1__bvfunc10,B,C)),k8_bvfunc_1(c1_1__bvfunc10,C,A)) ) ) ) )
   => ! [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,F),k6_valuat_1(D,F,G)),k6_valuat_1(D,G,E)) = k6_valuat_1(D,k6_valuat_1(D,k8_bvfunc_1(D,E,F),k8_bvfunc_1(D,F,G)),k8_bvfunc_1(D,G,E)) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_1__bvfunc10),file(bvfunc10,c1_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c1_1__bvfunc10)]).

fof(dh_c2_1__bvfunc10,definition,
    ( ( m2_fraenkel(c2_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
     => ! [A] : 
          ( m2_fraenkel(A,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
         => ! [B] : 
              ( m2_fraenkel(B,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
             => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,A),k6_valuat_1(c1_1__bvfunc10,A,B)),k6_valuat_1(c1_1__bvfunc10,B,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,A),k8_bvfunc_1(c1_1__bvfunc10,A,B)),k8_bvfunc_1(c1_1__bvfunc10,B,c2_1__bvfunc10)) ) ) )
   => ! [C] : 
        ( m2_fraenkel(C,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
       => ! [D] : 
            ( m2_fraenkel(D,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
           => ! [E] : 
                ( m2_fraenkel(E,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
               => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,C,D),k6_valuat_1(c1_1__bvfunc10,D,E)),k6_valuat_1(c1_1__bvfunc10,E,C)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,C,D),k8_bvfunc_1(c1_1__bvfunc10,D,E)),k8_bvfunc_1(c1_1__bvfunc10,E,C)) ) ) ) ),
    introduced(definition,[new_symbol(c2_1__bvfunc10),file(bvfunc10,c2_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c2_1__bvfunc10)]).

fof(dh_c3_1__bvfunc10,definition,
    ( ( m2_fraenkel(c3_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
     => ! [A] : 
          ( m2_fraenkel(A,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
         => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,A)),k6_valuat_1(c1_1__bvfunc10,A,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,A)),k8_bvfunc_1(c1_1__bvfunc10,A,c2_1__bvfunc10)) ) )
   => ! [B] : 
        ( m2_fraenkel(B,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
       => ! [C] : 
            ( m2_fraenkel(C,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
           => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,B),k6_valuat_1(c1_1__bvfunc10,B,C)),k6_valuat_1(c1_1__bvfunc10,C,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,B),k8_bvfunc_1(c1_1__bvfunc10,B,C)),k8_bvfunc_1(c1_1__bvfunc10,C,c2_1__bvfunc10)) ) ) ),
    introduced(definition,[new_symbol(c3_1__bvfunc10),file(bvfunc10,c3_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c3_1__bvfunc10)]).

fof(dh_c4_1__bvfunc10,definition,
    ( ( m2_fraenkel(c4_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
     => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) )
   => ! [A] : 
        ( m2_fraenkel(A,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
       => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,A)),k6_valuat_1(c1_1__bvfunc10,A,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,A)),k8_bvfunc_1(c1_1__bvfunc10,A,c2_1__bvfunc10)) ) ),
    introduced(definition,[new_symbol(c4_1__bvfunc10),file(bvfunc10,c4_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c4_1__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(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_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_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_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_1__bvfunc10,assumption,(
    ~ v1_xboole_0(c1_1__bvfunc10) ),
    introduced(assumption,[file(bvfunc10,c1_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c1_1__bvfunc10)]).

fof(dt_c2_1__bvfunc10,assumption,(
    m2_fraenkel(c2_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc10,c2_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c2_1__bvfunc10)]).

fof(dt_c3_1__bvfunc10,assumption,(
    m2_fraenkel(c3_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc10,c3_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c3_1__bvfunc10)]).

fof(dt_c4_1__bvfunc10,assumption,(
    m2_fraenkel(c4_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc10,c4_1__bvfunc10)]),
    [interesting(0.8),axiom,file(bvfunc10,c4_1__bvfunc10)]).

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

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(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    [interesting(0.9),axiom,file(funct_1,k1_funct_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(dh_c1_1_2__bvfunc10,definition,
    ( ( m1_subset_1(c1_1_2__bvfunc10,c1_1__bvfunc10)
     => ( k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1
       => k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ) )
   => ! [A] : 
        ( m1_subset_1(A,c1_1__bvfunc10)
       => ( k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1
         => k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1 ) ) ),
    introduced(definition,[new_symbol(c1_1_2__bvfunc10),file(bvfunc10,c1_1_2__bvfunc10)]),
    [interesting(0.65),axiom,file(bvfunc10,c1_1_2__bvfunc10)]).

fof(e1_1_2__bvfunc10,assumption,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_2__bvfunc10)]),
    [interesting(0.65),axiom,file(bvfunc10,e1_1_2__bvfunc10)]).

fof(dt_c1_1_2__bvfunc10,assumption,(
    m1_subset_1(c1_1_2__bvfunc10,c1_1__bvfunc10) ),
    introduced(assumption,[file(bvfunc10,c1_1_2__bvfunc10)]),
    [interesting(0.65),axiom,file(bvfunc10,c1_1_2__bvfunc10)]).

fof(e1_1_2_2__bvfunc10,assumption,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) != k8_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_2_2__bvfunc10)]),
    [interesting(0.5),axiom,file(bvfunc10,e1_1_2_2__bvfunc10)]).

fof(dt_k7_margrel1,axiom,(
    m1_subset_1(k7_margrel1,k6_margrel1) ),
    file(margrel1,k7_margrel1),
    [interesting(0.9),axiom,file(margrel1,k7_margrel1)]).

fof(e1_1_2_2_2_1_1__bvfunc10,assumption,
    ( k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
    & k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_2_2_2_1_1__bvfunc10)]),
    [interesting(0.05),axiom,file(bvfunc10,e1_1_2_2_2_1_1__bvfunc10)]).

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

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

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(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(t7_binarith,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k1_binarith(A,k7_margrel1) = A ) ),
    file(binarith,t7_binarith),
    [interesting(0.9),axiom,file(binarith,t7_binarith)]).

fof(e1_1_2_2_2_1_1_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k10_margrel1(k10_margrel1(k7_margrel1,k1_binarith(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_2_2_2_1_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e1_1_2_2_2_1_1__bvfunc10,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e1_1_2_2_2_1_1_1__bvfunc10),[file(bvfunc10,e1_1_2_2_2_1_1_1__bvfunc10)]]).

fof(e2_1_2_2_2_1_1_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k7_margrel1,k1_binarith(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1)) = k10_margrel1(k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e2_1_2_2_2_1_1_1__bvfunc10),[file(bvfunc10,e2_1_2_2_2_1_1_1__bvfunc10)]]).

fof(e3_1_2_2_2_1_1_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1)) = k10_margrel1(k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e3_1_2_2_2_1_1_1__bvfunc10),[file(bvfunc10,e3_1_2_2_2_1_1_1__bvfunc10)]]).

fof(t52_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ! [C] : 
              ( v2_margrel1(C)
             => k10_margrel1(A,k10_margrel1(B,C)) = k10_margrel1(k10_margrel1(A,B),C) ) ) ) ),
    file(margrel1,t52_margrel1),
    [interesting(0.9),axiom,file(margrel1,t52_margrel1)]).

fof(e4_1_2_2_2_1_1_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)) = k10_margrel1(k7_margrel1,k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10,fc5_margrel1,rc2_margrel1,t52_margrel1]),
    [interesting(0.02),file(bvfunc10,e4_1_2_2_2_1_1_1__bvfunc10),[file(bvfunc10,e4_1_2_2_2_1_1_1__bvfunc10)]]).

fof(t49_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => k10_margrel1(k7_margrel1,A) = k7_margrel1 ) ),
    file(margrel1,t49_margrel1),
    [interesting(0.9),axiom,file(margrel1,t49_margrel1)]).

fof(e5_1_2_2_2_1_1_1__bvfunc10,plain,(
    k10_margrel1(k7_margrel1,k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e5_1_2_2_2_1_1_1__bvfunc10),[file(bvfunc10,e5_1_2_2_2_1_1_1__bvfunc10)]]).

fof(e2_1_2_2_2_1_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k7_margrel1 ),
    inference(iterative_eq,[status(thm),assumptions([dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,e1_1_2_2_2_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c4_1__bvfunc10])],[e1_1_2_2_2_1_1_1__bvfunc10,e2_1_2_2_2_1_1_1__bvfunc10,e3_1_2_2_2_1_1_1__bvfunc10,e4_1_2_2_2_1_1_1__bvfunc10,e5_1_2_2_2_1_1_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,e2_1_2_2_2_1_1__bvfunc10),[file(bvfunc10,e2_1_2_2_2_1_1__bvfunc10)]]).

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(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_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(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(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(e1_1_2_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k10_margrel1(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_2__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k12_margrel1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k12_margrel1,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.5),file(bvfunc10,e1_1_2_1__bvfunc10),[file(bvfunc10,e1_1_2_1__bvfunc10)]]).

fof(e2_1_2_1__bvfunc10,plain,(
    k10_margrel1(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_2__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k10_margrel1(k10_margrel1(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_2__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k12_margrel1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k12_margrel1,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.5),file(bvfunc10,e2_1_2_1__bvfunc10),[file(bvfunc10,e2_1_2_1__bvfunc10)]]).

fof(commutativity_k3_binarith,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => k3_binarith(A,B) = k3_binarith(B,A) ) ),
    file(binarith,k3_binarith),
    [interesting(0.9),axiom,file(binarith,k3_binarith)]).

fof(redefinition_k3_binarith,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => k3_binarith(A,B) = k1_binarith(A,B) ) ),
    file(binarith,k3_binarith),
    [interesting(0.9),axiom,file(binarith,k3_binarith)]).

fof(dt_k3_binarith,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k6_margrel1)
        & m1_subset_1(B,k6_margrel1) )
     => m1_subset_1(k3_binarith(A,B),k6_margrel1) ) ),
    file(binarith,k3_binarith),
    [interesting(0.9),axiom,file(binarith,k3_binarith)]).

fof(d7_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 = k8_bvfunc_1(A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,A)
                       => k8_funct_2(A,k6_margrel1,D,E) = k3_binarith(k8_funct_2(A,k6_margrel1,B,E),k8_funct_2(A,k6_margrel1,C,E)) ) ) ) ) ) ) ),
    file(bvfunc_1,d7_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,d7_bvfunc_1)]).

fof(e3_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_2__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.5),file(bvfunc10,e3_1_2_1__bvfunc10),[file(bvfunc10,e3_1_2_1__bvfunc10)]]).

fof(e4_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.5),file(bvfunc10,e4_1_2_1__bvfunc10),[file(bvfunc10,e4_1_2_1__bvfunc10)]]).

fof(e5_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.5),file(bvfunc10,e5_1_2_1__bvfunc10),[file(bvfunc10,e5_1_2_1__bvfunc10)]]).

fof(e2_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e1_1_2_1__bvfunc10,e2_1_2_1__bvfunc10,e3_1_2_1__bvfunc10,e4_1_2_1__bvfunc10,e5_1_2_1__bvfunc10]),
    [interesting(0.65),file(bvfunc10,e2_1_2__bvfunc10),[file(bvfunc10,e2_1_2__bvfunc10)]]).

fof(t43_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ( A != k8_margrel1
      <=> A = k7_margrel1 ) ) ),
    file(margrel1,t43_margrel1),
    [interesting(0.9),axiom,file(margrel1,t43_margrel1)]).

fof(e3_1_2_2_2_1_1__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_2_2_2_1_1__bvfunc10,e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e2_1_2_2_2_1_1__bvfunc10,e1_1_2__bvfunc10,e2_1_2__bvfunc10,t43_margrel1]),
    [interesting(0.05),file(bvfunc10,e3_1_2_2_2_1_1__bvfunc10),[file(bvfunc10,e3_1_2_2_2_1_1__bvfunc10)]]).

fof(i2_1_2_2_2_1_1__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_2_2_2_1_1__bvfunc10)]),
    [interesting(0.05),trivial,file(bvfunc10,i2_1_2_2_2_1_1__bvfunc10)]).

fof(i1_1_2_2_2_1_1__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_2_2_2_1_1__bvfunc10,e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e3_1_2_2_2_1_1__bvfunc10,i2_1_2_2_2_1_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,i1_1_2_2_2_1_1__bvfunc10),[file(bvfunc10,i1_1_2_2_2_1_1__bvfunc10)]]).

fof(i1_1_2_2_2_1__bvfunc10,plain,
    ( ( k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 )
   => ( k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_2_2_2_1_1__bvfunc10])],[e1_1_2_2_2_1_1__bvfunc10,i1_1_2_2_2_1_1__bvfunc10]),
    [interesting(0.2),file(bvfunc10,i1_1_2_2_2_1__bvfunc10),[file(bvfunc10,i1_1_2_2_2_1__bvfunc10)]]).

fof(e1_1_2_2_2_1_2__bvfunc10,assumption,
    ( k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
    & k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_2_2_2_1_2__bvfunc10)]),
    [interesting(0.05),axiom,file(bvfunc10,e1_1_2_2_2_1_2__bvfunc10)]).

fof(e1_1_2_2_2_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k10_margrel1(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k3_binarith(k7_margrel1,k7_margrel1)),k1_binarith(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_2_2_2_1_2__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e1_1_2_2_2_1_2__bvfunc10,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e1_1_2_2_2_1_2_1__bvfunc10),[file(bvfunc10,e1_1_2_2_2_1_2_1__bvfunc10)]]).

fof(e2_1_2_2_2_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k3_binarith(k7_margrel1,k7_margrel1)),k1_binarith(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k10_margrel1(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1),k1_binarith(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e2_1_2_2_2_1_2_1__bvfunc10),[file(bvfunc10,e2_1_2_2_2_1_2_1__bvfunc10)]]).

fof(e3_1_2_2_2_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1),k1_binarith(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k10_margrel1(k10_margrel1(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e3_1_2_2_2_1_2_1__bvfunc10),[file(bvfunc10,e3_1_2_2_2_1_2_1__bvfunc10)]]).

fof(e4_1_2_2_2_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10)) = k10_margrel1(k7_margrel1,k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,fc5_margrel1,rc2_margrel1,t52_margrel1]),
    [interesting(0.02),file(bvfunc10,e4_1_2_2_2_1_2_1__bvfunc10),[file(bvfunc10,e4_1_2_2_2_1_2_1__bvfunc10)]]).

fof(e5_1_2_2_2_1_2_1__bvfunc10,plain,(
    k10_margrel1(k7_margrel1,k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e5_1_2_2_2_1_2_1__bvfunc10),[file(bvfunc10,e5_1_2_2_2_1_2_1__bvfunc10)]]).

fof(e2_1_2_2_2_1_2__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k7_margrel1 ),
    inference(iterative_eq,[status(thm),assumptions([dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_2_2_2_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc1_binarith,fc3_margrel1,fc5_margrel1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_2_2_2_1_2_1__bvfunc10,e2_1_2_2_2_1_2_1__bvfunc10,e3_1_2_2_2_1_2_1__bvfunc10,e4_1_2_2_2_1_2_1__bvfunc10,e5_1_2_2_2_1_2_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,e2_1_2_2_2_1_2__bvfunc10),[file(bvfunc10,e2_1_2_2_2_1_2__bvfunc10)]]).

fof(e3_1_2_2_2_1_2__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_2_2_2_1_2__bvfunc10,e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e2_1_2_2_2_1_2__bvfunc10,e1_1_2__bvfunc10,e2_1_2__bvfunc10,t43_margrel1]),
    [interesting(0.05),file(bvfunc10,e3_1_2_2_2_1_2__bvfunc10),[file(bvfunc10,e3_1_2_2_2_1_2__bvfunc10)]]).

fof(i2_1_2_2_2_1_2__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_2_2_2_1_2__bvfunc10)]),
    [interesting(0.05),trivial,file(bvfunc10,i2_1_2_2_2_1_2__bvfunc10)]).

fof(i1_1_2_2_2_1_2__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_2_2_2_1_2__bvfunc10,e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e3_1_2_2_2_1_2__bvfunc10,i2_1_2_2_2_1_2__bvfunc10]),
    [interesting(0.05),file(bvfunc10,i1_1_2_2_2_1_2__bvfunc10),[file(bvfunc10,i1_1_2_2_2_1_2__bvfunc10)]]).

fof(i2_1_2_2_2_1__bvfunc10,plain,
    ( ( k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 )
   => ( k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_2_2_2_1_2__bvfunc10])],[e1_1_2_2_2_1_2__bvfunc10,i1_1_2_2_2_1_2__bvfunc10]),
    [interesting(0.2),file(bvfunc10,i2_1_2_2_2_1__bvfunc10),[file(bvfunc10,i2_1_2_2_2_1__bvfunc10)]]).

fof(e1_1_2_2_2_1_3__bvfunc10,assumption,
    ( k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
    & k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_2_2_2_1_3__bvfunc10)]),
    [interesting(0.05),axiom,file(bvfunc10,e1_1_2_2_2_1_3__bvfunc10)]).

fof(e1_1_2_2_2_1_3_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k10_margrel1(k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1)),k3_binarith(k7_margrel1,k7_margrel1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_2_2_2_1_3__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e1_1_2_2_2_1_3__bvfunc10,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e1_1_2_2_2_1_3_1__bvfunc10),[file(bvfunc10,e1_1_2_2_2_1_3_1__bvfunc10)]]).

fof(e2_1_2_2_2_1_3_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k7_margrel1)),k3_binarith(k7_margrel1,k7_margrel1)) = k10_margrel1(k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k3_binarith(k7_margrel1,k7_margrel1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e2_1_2_2_2_1_3_1__bvfunc10),[file(bvfunc10,e2_1_2_2_2_1_3_1__bvfunc10)]]).

fof(e3_1_2_2_2_1_3_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k3_binarith(k7_margrel1,k7_margrel1)) = k10_margrel1(k7_margrel1,k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e3_1_2_2_2_1_3_1__bvfunc10),[file(bvfunc10,e3_1_2_2_2_1_3_1__bvfunc10)]]).

fof(e4_1_2_2_2_1_3_1__bvfunc10,plain,(
    k10_margrel1(k7_margrel1,k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10))) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e4_1_2_2_2_1_3_1__bvfunc10),[file(bvfunc10,e4_1_2_2_2_1_3_1__bvfunc10)]]).

fof(e2_1_2_2_2_1_3__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) = k7_margrel1 ),
    inference(iterative_eq,[status(thm),assumptions([dt_c2_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_2_2_2_1_3__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc1_binarith,fc3_margrel1,fc5_margrel1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_2_2_2_1_3_1__bvfunc10,e2_1_2_2_2_1_3_1__bvfunc10,e3_1_2_2_2_1_3_1__bvfunc10,e4_1_2_2_2_1_3_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,e2_1_2_2_2_1_3__bvfunc10),[file(bvfunc10,e2_1_2_2_2_1_3__bvfunc10)]]).

fof(e3_1_2_2_2_1_3__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_2_2_2_1_3__bvfunc10,e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e2_1_2_2_2_1_3__bvfunc10,e1_1_2__bvfunc10,e2_1_2__bvfunc10,t43_margrel1]),
    [interesting(0.05),file(bvfunc10,e3_1_2_2_2_1_3__bvfunc10),[file(bvfunc10,e3_1_2_2_2_1_3__bvfunc10)]]).

fof(i2_1_2_2_2_1_3__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_2_2_2_1_3__bvfunc10)]),
    [interesting(0.05),trivial,file(bvfunc10,i2_1_2_2_2_1_3__bvfunc10)]).

fof(i1_1_2_2_2_1_3__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_2_2_2_1_3__bvfunc10,e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e3_1_2_2_2_1_3__bvfunc10,i2_1_2_2_2_1_3__bvfunc10]),
    [interesting(0.05),file(bvfunc10,i1_1_2_2_2_1_3__bvfunc10),[file(bvfunc10,i1_1_2_2_2_1_3__bvfunc10)]]).

fof(i3_1_2_2_2_1__bvfunc10,plain,
    ( ( k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 )
   => ( k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
      & k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_2_2_2_1_3__bvfunc10])],[e1_1_2_2_2_1_3__bvfunc10,i1_1_2_2_2_1_3__bvfunc10]),
    [interesting(0.2),file(bvfunc10,i3_1_2_2_2_1__bvfunc10),[file(bvfunc10,i3_1_2_2_2_1__bvfunc10)]]).

fof(e1_1_2_2_1__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k1_binarith(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_2__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.35),file(bvfunc10,e1_1_2_2_1__bvfunc10),[file(bvfunc10,e1_1_2_2_1__bvfunc10)]]).

fof(e2_1_2_2_1__bvfunc10,plain,(
    k1_binarith(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_2__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k1_binarith(k1_binarith(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_2__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.35),file(bvfunc10,e2_1_2_2_1__bvfunc10),[file(bvfunc10,e2_1_2_2_1__bvfunc10)]]).

fof(e3_1_2_2_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_2__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,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_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.35),file(bvfunc10,e3_1_2_2_1__bvfunc10),[file(bvfunc10,e3_1_2_2_1__bvfunc10)]]).

fof(e4_1_2_2_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_2__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,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_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.35),file(bvfunc10,e4_1_2_2_1__bvfunc10),[file(bvfunc10,e4_1_2_2_1__bvfunc10)]]).

fof(e5_1_2_2_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_2__bvfunc10)) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,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_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.35),file(bvfunc10,e5_1_2_2_1__bvfunc10),[file(bvfunc10,e5_1_2_2_1__bvfunc10)]]).

fof(e2_1_2_2__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10))) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e1_1_2_2_1__bvfunc10,e2_1_2_2_1__bvfunc10,e3_1_2_2_1__bvfunc10,e4_1_2_2_1__bvfunc10,e5_1_2_2_1__bvfunc10]),
    [interesting(0.5),file(bvfunc10,e2_1_2_2__bvfunc10),[file(bvfunc10,e2_1_2_2__bvfunc10)]]).

fof(t39_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ( A = k7_margrel1
        | A = k8_margrel1 ) ) ),
    file(margrel1,t39_margrel1),
    [interesting(0.9),axiom,file(margrel1,t39_margrel1)]).

fof(e4_1_2_2__bvfunc10,plain,
    ( k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10)) = k8_margrel1
    | k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10)) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c4_1__bvfunc10,fc5_margrel1,rc2_margrel1,t39_margrel1]),
    [interesting(0.5),file(bvfunc10,e4_1_2_2__bvfunc10),[file(bvfunc10,e4_1_2_2__bvfunc10)]]).

fof(e6_1_2_2__bvfunc10,plain,
    ( k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)) = k8_margrel1
    | k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_2__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc5_margrel1,rc2_margrel1,t39_margrel1]),
    [interesting(0.5),file(bvfunc10,e6_1_2_2__bvfunc10),[file(bvfunc10,e6_1_2_2__bvfunc10)]]).

fof(e3_1_2_2__bvfunc10,plain,
    ( k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))) = k8_margrel1
    | k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10))) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t39_margrel1]),
    [interesting(0.5),file(bvfunc10,e3_1_2_2__bvfunc10),[file(bvfunc10,e3_1_2_2__bvfunc10)]]).

fof(e5_1_2_2__bvfunc10,plain,
    ( k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)) = k8_margrel1
    | k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,fc5_margrel1,rc2_margrel1,t39_margrel1]),
    [interesting(0.5),file(bvfunc10,e5_1_2_2__bvfunc10),[file(bvfunc10,e5_1_2_2__bvfunc10)]]).

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(e7_1_2_2__bvfunc10,plain,
    ( k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10)) = k7_margrel1
    & k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10)) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_2_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e6_1_2_2__bvfunc10,e1_1_2_2__bvfunc10,e2_1_2_2__bvfunc10,e3_1_2_2__bvfunc10,e5_1_2_2__bvfunc10,t19_binarith]),
    [interesting(0.5),file(bvfunc10,e7_1_2_2__bvfunc10),[file(bvfunc10,e7_1_2_2__bvfunc10)]]).

fof(t45_margrel1,theorem,(
    ! [A] : 
      ( v2_margrel1(A)
     => ! [B] : 
          ( v2_margrel1(B)
         => ( ( k10_margrel1(A,B) = k8_margrel1
             => ( A = k8_margrel1
                & B = k8_margrel1 ) )
            & ( ( A = k8_margrel1
                & B = k8_margrel1 )
             => k10_margrel1(A,B) = k8_margrel1 )
            & ~ ( k10_margrel1(A,B) = k7_margrel1
                & A != k7_margrel1
                & B != k7_margrel1 )
            & ( ( A = k7_margrel1
                | B = k7_margrel1 )
             => k10_margrel1(A,B) = k7_margrel1 ) ) ) ) ),
    file(margrel1,t45_margrel1),
    [interesting(0.9),axiom,file(margrel1,t45_margrel1)]).

fof(e1_1_2_2_2_1__bvfunc10,plain,(
    ~ ( ~ ( k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 )
      & ~ ( k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 )
      & ~ ( k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1 ) ) ),
    inference(mizar_by,[status(thm),assumptions([e1_1_2_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e1_1_2_2__bvfunc10,e2_1_2_2__bvfunc10,e4_1_2_2__bvfunc10,e7_1_2_2__bvfunc10,t19_binarith,t45_margrel1]),
    [interesting(0.2),file(bvfunc10,e1_1_2_2_2_1__bvfunc10),[file(bvfunc10,e1_1_2_2_2_1__bvfunc10)]]).

fof(e8_1_2_2__bvfunc10,plain,(
    ~ ( ~ ( k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 )
      & ~ ( k1_funct_1(c3_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 )
      & ~ ( k1_funct_1(c4_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(c2_1__bvfunc10,c1_1_2__bvfunc10) = k7_margrel1
          & k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ) ) ),
    inference(percases,[status(thm),assumptions([e1_1_2__bvfunc10,e1_1_2_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[i1_1_2_2_2_1__bvfunc10,i2_1_2_2_2_1__bvfunc10,i3_1_2_2_2_1__bvfunc10,e1_1_2_2_2_1__bvfunc10]),
    [interesting(0.5),file(bvfunc10,e8_1_2_2__bvfunc10),[file(bvfunc10,e8_1_2_2__bvfunc10)]]).

fof(e9_1_2_2__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_2__bvfunc10,e1_1_2_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[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,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e8_1_2_2__bvfunc10]),
    [interesting(0.5),file(bvfunc10,e9_1_2_2__bvfunc10),[file(bvfunc10,e9_1_2_2__bvfunc10)]]).

fof(i2_1_2_2__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_2_2__bvfunc10)]),
    [interesting(0.5),trivial,file(bvfunc10,i2_1_2_2__bvfunc10)]).

fof(i1_1_2_2__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_2__bvfunc10,e1_1_2_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[e9_1_2_2__bvfunc10,i2_1_2_2__bvfunc10]),
    [interesting(0.5),file(bvfunc10,i1_1_2_2__bvfunc10),[file(bvfunc10,i1_1_2_2__bvfunc10)]]).

fof(e3_1_2__bvfunc10,plain,
    ( k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) != k8_margrel1
   => k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10]),discharge_asm(discharge,[e1_1_2_2__bvfunc10])],[e1_1_2_2__bvfunc10,i1_1_2_2__bvfunc10]),
    [interesting(0.65),file(bvfunc10,e3_1_2__bvfunc10),[file(bvfunc10,e3_1_2__bvfunc10)]]).

fof(e4_1_2__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[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,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k1_funct_1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e3_1_2__bvfunc10]),
    [interesting(0.65),file(bvfunc10,e4_1_2__bvfunc10),[file(bvfunc10,e4_1_2__bvfunc10)]]).

fof(i3_1_2__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i3_1_2__bvfunc10)]),
    [interesting(0.65),trivial,file(bvfunc10,i3_1_2__bvfunc10)]).

fof(i2_1_2__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[e4_1_2__bvfunc10,i3_1_2__bvfunc10]),
    [interesting(0.65),file(bvfunc10,i2_1_2__bvfunc10),[file(bvfunc10,i2_1_2__bvfunc10)]]).

fof(i1_1_2__bvfunc10,plain,
    ( k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1
   => k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_2__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10]),discharge_asm(discharge,[e1_1_2__bvfunc10])],[e1_1_2__bvfunc10,i2_1_2__bvfunc10]),
    [interesting(0.65),file(bvfunc10,i1_1_2__bvfunc10),[file(bvfunc10,i1_1_2__bvfunc10)]]).

fof(i1_1_2_tmp__bvfunc10,plain,
    ( m1_subset_1(c1_1_2__bvfunc10,c1_1__bvfunc10)
   => ( k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1
     => k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_2__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10]),discharge_asm(discharge,[dt_c1_1_2__bvfunc10])],[dt_c1_1_2__bvfunc10,i1_1_2__bvfunc10]),
    [interesting(0.8),e3_1__bvfunc10]).

fof(e3_1__bvfunc10,plain,(
    ! [A] : 
      ( m1_subset_1(A,c1_1__bvfunc10)
     => ( k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1
       => k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1 ) ) ),
    inference(let,[status(thm),assumptions([dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[i1_1_2_tmp__bvfunc10,dh_c1_1_2__bvfunc10]),
    [interesting(0.8),file(bvfunc10,e3_1__bvfunc10),[file(bvfunc10,e3_1__bvfunc10)]]).

fof(d15_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))
             => ( r1_bvfunc_1(A,B,C)
              <=> ! [D] : 
                    ( m1_subset_1(D,A)
                   => ( k1_funct_1(B,D) = k8_margrel1
                     => k1_funct_1(C,D) = k8_margrel1 ) ) ) ) ) ) ),
    file(bvfunc_1,d15_bvfunc_1),
    [interesting(0.9),axiom,file(bvfunc_1,d15_bvfunc_1)]).

fof(e4_1__bvfunc10,plain,(
    r1_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k4_valuat_1,dt_k6_bvfunc_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,commutativity_k8_bvfunc_1,reflexivity_r1_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,e3_1__bvfunc10,d15_bvfunc_1]),
    [interesting(0.8),file(bvfunc10,e4_1__bvfunc10),[file(bvfunc10,e4_1__bvfunc10)]]).

fof(dh_c1_1_1__bvfunc10,definition,
    ( ( m1_subset_1(c1_1_1__bvfunc10,c1_1__bvfunc10)
     => ( k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1
       => k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) )
   => ! [A] : 
        ( m1_subset_1(A,c1_1__bvfunc10)
       => ( k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1
         => k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1 ) ) ),
    introduced(definition,[new_symbol(c1_1_1__bvfunc10),file(bvfunc10,c1_1_1__bvfunc10)]),
    [interesting(0.65),axiom,file(bvfunc10,c1_1_1__bvfunc10)]).

fof(e1_1_1__bvfunc10,assumption,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_1__bvfunc10)]),
    [interesting(0.65),axiom,file(bvfunc10,e1_1_1__bvfunc10)]).

fof(dt_c1_1_1__bvfunc10,assumption,(
    m1_subset_1(c1_1_1__bvfunc10,c1_1__bvfunc10) ),
    introduced(assumption,[file(bvfunc10,c1_1_1__bvfunc10)]),
    [interesting(0.65),axiom,file(bvfunc10,c1_1_1__bvfunc10)]).

fof(e1_1_1_2__bvfunc10,assumption,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) != k8_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_1_2__bvfunc10)]),
    [interesting(0.5),axiom,file(bvfunc10,e1_1_1_2__bvfunc10)]).

fof(e1_1_1_2_2_1_1__bvfunc10,assumption,(
    k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_1_2_2_1_1__bvfunc10)]),
    [interesting(0.05),axiom,file(bvfunc10,e1_1_1_2_2_1_1__bvfunc10)]).

fof(e1_1_1_2_2_1_1_1_1_1__bvfunc10,assumption,(
    k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_1_2_2_1_1_1_1_1__bvfunc10)]),
    [interesting(0.02),axiom,file(bvfunc10,e1_1_1_2_2_1_1_1_1_1__bvfunc10)]).

fof(e3_1_1_2_2_1_1_1_1_1__bvfunc10,plain,
    ( k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10) = k8_margrel1
    | k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10,rc2_margrel1,t39_margrel1]),
    [interesting(0.02),file(bvfunc10,e3_1_1_2_2_1_1_1_1_1__bvfunc10),[file(bvfunc10,e3_1_1_2_2_1_1_1_1_1__bvfunc10)]]).

fof(e2_1_1_2_2_1_1_1_1_1__bvfunc10,plain,
    ( k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10) = k8_margrel1
    | k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,rc2_margrel1,t39_margrel1]),
    [interesting(0.02),file(bvfunc10,e2_1_1_2_2_1_1_1_1_1__bvfunc10),[file(bvfunc10,e2_1_1_2_2_1_1_1_1_1__bvfunc10)]]).

fof(e4_1_1_2_2_1_1_1_1_1__bvfunc10,plain,
    ( k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1
    & k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_1__bvfunc10,e1_1_1_2_2_1_1_1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k1_binarith,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,fc1_binarith,rc2_margrel1,e3_1_1_2_2_1_1_1_1_1__bvfunc10,e1_1_1_2_2_1_1_1_1_1__bvfunc10,e2_1_1_2_2_1_1_1_1_1__bvfunc10,t19_binarith]),
    [interesting(0.02),file(bvfunc10,e4_1_1_2_2_1_1_1_1_1__bvfunc10),[file(bvfunc10,e4_1_1_2_2_1_1_1_1_1__bvfunc10)]]).

fof(e1_1_1_2_2_1_1_1_1_1_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k1_binarith(k1_binarith(k7_margrel1,k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k7_margrel1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc10,dt_c3_1__bvfunc10,e1_1_1_2_2_1_1_1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e4_1_1_2_2_1_1_1_1_1__bvfunc10,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e1_1_1_2_2_1_1_1_1_1_1__bvfunc10),[file(bvfunc10,e1_1_1_2_2_1_1_1_1_1_1__bvfunc10)]]).

fof(e2_1_1_2_2_1_1_1_1_1_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k7_margrel1,k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k7_margrel1)) = k1_binarith(k3_binarith(k7_margrel1,k7_margrel1),k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e2_1_1_2_2_1_1_1_1_1_1__bvfunc10),[file(bvfunc10,e2_1_1_2_2_1_1_1_1_1_1__bvfunc10)]]).

fof(e3_1_1_2_2_1_1_1_1_1_1__bvfunc10,plain,(
    k1_binarith(k3_binarith(k7_margrel1,k7_margrel1),k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) = k1_binarith(k7_margrel1,k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e3_1_1_2_2_1_1_1_1_1_1__bvfunc10),[file(bvfunc10,e3_1_1_2_2_1_1_1_1_1_1__bvfunc10)]]).

fof(e4_1_1_2_2_1_1_1_1_1_1__bvfunc10,plain,(
    k1_binarith(k7_margrel1,k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) = k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e4_1_1_2_2_1_1_1_1_1_1__bvfunc10),[file(bvfunc10,e4_1_1_2_2_1_1_1_1_1_1__bvfunc10)]]).

fof(e5_1_1_2_2_1_1_1_1_1_1__bvfunc10,plain,(
    k10_margrel1(k7_margrel1,k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,dt_k10_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e5_1_1_2_2_1_1_1_1_1_1__bvfunc10),[file(bvfunc10,e5_1_1_2_2_1_1_1_1_1_1__bvfunc10)]]).

fof(e5_1_1_2_2_1_1_1_1_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1 ),
    inference(iterative_eq,[status(thm),assumptions([dt_c3_1__bvfunc10,e1_1_1_2_2_1_1_1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc1_binarith,fc3_margrel1,fc5_margrel1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_1_1_1_1_1__bvfunc10,e2_1_1_2_2_1_1_1_1_1_1__bvfunc10,e3_1_1_2_2_1_1_1_1_1_1__bvfunc10,e4_1_1_2_2_1_1_1_1_1_1__bvfunc10,e5_1_1_2_2_1_1_1_1_1_1__bvfunc10]),
    [interesting(0.02),file(bvfunc10,e5_1_1_2_2_1_1_1_1_1__bvfunc10),[file(bvfunc10,e5_1_1_2_2_1_1_1_1_1__bvfunc10)]]).

fof(e1_1_1_1__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k1_binarith(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_1__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.5),file(bvfunc10,e1_1_1_1__bvfunc10),[file(bvfunc10,e1_1_1_1__bvfunc10)]]).

fof(e2_1_1_1__bvfunc10,plain,(
    k1_binarith(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_1__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k1_binarith(k1_binarith(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_1__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,rc1_valuat_1,rc2_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.5),file(bvfunc10,e2_1_1_1__bvfunc10),[file(bvfunc10,e2_1_1_1__bvfunc10)]]).

fof(e3_1_1_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_1__bvfunc10),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,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_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.5),file(bvfunc10,e3_1_1_1__bvfunc10),[file(bvfunc10,e3_1_1_1__bvfunc10)]]).

fof(e4_1_1_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,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_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.5),file(bvfunc10,e4_1_1_1__bvfunc10),[file(bvfunc10,e4_1_1_1__bvfunc10)]]).

fof(e5_1_1_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k1_funct_1(k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,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_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.5),file(bvfunc10,e5_1_1_1__bvfunc10),[file(bvfunc10,e5_1_1_1__bvfunc10)]]).

fof(e2_1_1__bvfunc10,plain,(
    k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e1_1_1_1__bvfunc10,e2_1_1_1__bvfunc10,e3_1_1_1__bvfunc10,e4_1_1_1__bvfunc10,e5_1_1_1__bvfunc10]),
    [interesting(0.65),file(bvfunc10,e2_1_1__bvfunc10),[file(bvfunc10,e2_1_1__bvfunc10)]]).

fof(e6_1_1_2_2_1_1_1_1_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_1_2_2_1_1_1_1_1__bvfunc10,e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e5_1_1_2_2_1_1_1_1_1__bvfunc10,e1_1_1__bvfunc10,e2_1_1__bvfunc10,t43_margrel1]),
    [interesting(0.02),file(bvfunc10,e6_1_1_2_2_1_1_1_1_1__bvfunc10),[file(bvfunc10,e6_1_1_2_2_1_1_1_1_1__bvfunc10)]]).

fof(i2_1_1_2_2_1_1_1_1_1__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_1_2_2_1_1_1_1_1__bvfunc10)]),
    [interesting(0.02),trivial,file(bvfunc10,i2_1_1_2_2_1_1_1_1_1__bvfunc10)]).

fof(i1_1_1_2_2_1_1_1_1_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_1_2_2_1_1_1_1_1__bvfunc10,e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e6_1_1_2_2_1_1_1_1_1__bvfunc10,i2_1_1_2_2_1_1_1_1_1__bvfunc10]),
    [interesting(0.02),file(bvfunc10,i1_1_1_2_2_1_1_1_1_1__bvfunc10),[file(bvfunc10,i1_1_1_2_2_1_1_1_1_1__bvfunc10)]]).

fof(i1_1_1_2_2_1_1_1_1__bvfunc10,plain,
    ( k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
   => ( k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_1_2_2_1_1_1_1_1__bvfunc10])],[e1_1_1_2_2_1_1_1_1_1__bvfunc10,i1_1_1_2_2_1_1_1_1_1__bvfunc10]),
    [interesting(0.02),file(bvfunc10,i1_1_1_2_2_1_1_1_1__bvfunc10),[file(bvfunc10,i1_1_1_2_2_1_1_1_1__bvfunc10)]]).

fof(e1_1_1_2_2_1_1_1_1_2__bvfunc10,assumption,(
    k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_1_2_2_1_1_1_1_2__bvfunc10)]),
    [interesting(0.02),axiom,file(bvfunc10,e1_1_1_2_2_1_1_1_1_2__bvfunc10)]).

fof(e3_1_1_2_2_1_1_1_1_2__bvfunc10,plain,
    ( k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10) = k8_margrel1
    | k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10,rc2_margrel1,t39_margrel1]),
    [interesting(0.02),file(bvfunc10,e3_1_1_2_2_1_1_1_1_2__bvfunc10),[file(bvfunc10,e3_1_1_2_2_1_1_1_1_2__bvfunc10)]]).

fof(e2_1_1_2_2_1_1_1_1_2__bvfunc10,plain,
    ( k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10) = k8_margrel1
    | k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10,rc2_margrel1,t39_margrel1]),
    [interesting(0.02),file(bvfunc10,e2_1_1_2_2_1_1_1_1_2__bvfunc10),[file(bvfunc10,e2_1_1_2_2_1_1_1_1_2__bvfunc10)]]).

fof(e4_1_1_2_2_1_1_1_1_2__bvfunc10,plain,
    ( k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1
    & k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc10,e1_1_1_2_2_1_1_1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k1_binarith,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,rc2_margrel1,e3_1_1_2_2_1_1_1_1_2__bvfunc10,e1_1_1_2_2_1_1_1_1_2__bvfunc10,e2_1_1_2_2_1_1_1_1_2__bvfunc10,t19_binarith]),
    [interesting(0.02),file(bvfunc10,e4_1_1_2_2_1_1_1_1_2__bvfunc10),[file(bvfunc10,e4_1_1_2_2_1_1_1_1_2__bvfunc10)]]).

fof(e1_1_1_2_2_1_1_1_1_2_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k1_binarith(k3_binarith(k7_margrel1,k12_margrel1(k7_margrel1,k7_margrel1)),k10_margrel1(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_1_1_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k12_margrel1,redefinition_k3_binarith,dt_k10_margrel1,dt_k12_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e4_1_1_2_2_1_1_1_1_2__bvfunc10,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e1_1_1_2_2_1_1_1_1_2_1__bvfunc10),[file(bvfunc10,e1_1_1_2_2_1_1_1_1_2_1__bvfunc10)]]).

fof(e2_1_1_2_2_1_1_1_1_2_1__bvfunc10,plain,(
    k1_binarith(k3_binarith(k7_margrel1,k12_margrel1(k7_margrel1,k7_margrel1)),k10_margrel1(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k1_binarith(k3_binarith(k7_margrel1,k7_margrel1),k10_margrel1(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k12_margrel1,redefinition_k3_binarith,dt_k10_margrel1,dt_k12_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e2_1_1_2_2_1_1_1_1_2_1__bvfunc10),[file(bvfunc10,e2_1_1_2_2_1_1_1_1_2_1__bvfunc10)]]).

fof(e3_1_1_2_2_1_1_1_1_2_1__bvfunc10,plain,(
    k1_binarith(k3_binarith(k7_margrel1,k7_margrel1),k10_margrel1(k7_margrel1,k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k3_binarith(k3_binarith(k7_margrel1,k7_margrel1),k7_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e3_1_1_2_2_1_1_1_1_2_1__bvfunc10),[file(bvfunc10,e3_1_1_2_2_1_1_1_1_2_1__bvfunc10)]]).

fof(e4_1_1_2_2_1_1_1_1_2_1__bvfunc10,plain,(
    k3_binarith(k3_binarith(k7_margrel1,k7_margrel1),k7_margrel1) = k3_binarith(k7_margrel1,k7_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([])],[existence_m1_subset_1,dt_k6_margrel1,dt_m1_subset_1,cc1_margrel1,fc3_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k1_binarith,dt_k3_binarith,dt_k7_margrel1,fc1_binarith,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e4_1_1_2_2_1_1_1_1_2_1__bvfunc10),[file(bvfunc10,e4_1_1_2_2_1_1_1_1_2_1__bvfunc10)]]).

fof(e5_1_1_2_2_1_1_1_1_2_1__bvfunc10,plain,(
    k3_binarith(k7_margrel1,k7_margrel1) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([])],[existence_m1_subset_1,dt_k6_margrel1,dt_m1_subset_1,cc1_margrel1,fc3_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k1_binarith,dt_k3_binarith,dt_k7_margrel1,fc1_binarith,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e5_1_1_2_2_1_1_1_1_2_1__bvfunc10),[file(bvfunc10,e5_1_1_2_2_1_1_1_1_2_1__bvfunc10)]]).

fof(e5_1_1_2_2_1_1_1_1_2__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1 ),
    inference(iterative_eq,[status(thm),assumptions([dt_c4_1__bvfunc10,e1_1_1_2_2_1_1_1_1_2__bvfunc10,dt_c3_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc1_binarith,fc3_margrel1,fc5_margrel1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k12_margrel1,redefinition_k3_binarith,dt_k10_margrel1,dt_k12_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_1_1_1_2_1__bvfunc10,e2_1_1_2_2_1_1_1_1_2_1__bvfunc10,e3_1_1_2_2_1_1_1_1_2_1__bvfunc10,e4_1_1_2_2_1_1_1_1_2_1__bvfunc10,e5_1_1_2_2_1_1_1_1_2_1__bvfunc10]),
    [interesting(0.02),file(bvfunc10,e5_1_1_2_2_1_1_1_1_2__bvfunc10),[file(bvfunc10,e5_1_1_2_2_1_1_1_1_2__bvfunc10)]]).

fof(e6_1_1_2_2_1_1_1_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_1_2_2_1_1_1_1_2__bvfunc10,e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e5_1_1_2_2_1_1_1_1_2__bvfunc10,e1_1_1__bvfunc10,e2_1_1__bvfunc10,t43_margrel1]),
    [interesting(0.02),file(bvfunc10,e6_1_1_2_2_1_1_1_1_2__bvfunc10),[file(bvfunc10,e6_1_1_2_2_1_1_1_1_2__bvfunc10)]]).

fof(i2_1_1_2_2_1_1_1_1_2__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_1_2_2_1_1_1_1_2__bvfunc10)]),
    [interesting(0.02),trivial,file(bvfunc10,i2_1_1_2_2_1_1_1_1_2__bvfunc10)]).

fof(i1_1_1_2_2_1_1_1_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_1_2_2_1_1_1_1_2__bvfunc10,e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e6_1_1_2_2_1_1_1_1_2__bvfunc10,i2_1_1_2_2_1_1_1_1_2__bvfunc10]),
    [interesting(0.02),file(bvfunc10,i1_1_1_2_2_1_1_1_1_2__bvfunc10),[file(bvfunc10,i1_1_1_2_2_1_1_1_1_2__bvfunc10)]]).

fof(i2_1_1_2_2_1_1_1_1__bvfunc10,plain,
    ( k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
   => ( k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_1_2_2_1_1_1_1_2__bvfunc10])],[e1_1_1_2_2_1_1_1_1_2__bvfunc10,i1_1_1_2_2_1_1_1_1_2__bvfunc10]),
    [interesting(0.02),file(bvfunc10,i2_1_1_2_2_1_1_1_1__bvfunc10),[file(bvfunc10,i2_1_1_2_2_1_1_1_1__bvfunc10)]]).

fof(e1_1_1_2_2_1_1_1_1__bvfunc10,plain,
    ( k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
    | k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e1_1_1_2_2_1_1__bvfunc10,t45_margrel1]),
    [interesting(0.02),file(bvfunc10,e1_1_1_2_2_1_1_1_1__bvfunc10),[file(bvfunc10,e1_1_1_2_2_1_1_1_1__bvfunc10)]]).

fof(e2_1_1_2_2_1_1__bvfunc10,plain,
    ( ( k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 )
    | ( k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) ),
    inference(percases,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_1__bvfunc10])],[i1_1_1_2_2_1_1_1_1__bvfunc10,i2_1_1_2_2_1_1_1_1__bvfunc10,e1_1_1_2_2_1_1_1_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,e2_1_1_2_2_1_1__bvfunc10),[file(bvfunc10,e2_1_1_2_2_1_1__bvfunc10)]]).

fof(e3_1_1_2_2_1_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc1_binarith,fc3_margrel1,rc2_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e2_1_1_2_2_1_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,e3_1_1_2_2_1_1__bvfunc10),[file(bvfunc10,e3_1_1_2_2_1_1__bvfunc10)]]).

fof(i2_1_1_2_2_1_1__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_1_2_2_1_1__bvfunc10)]),
    [interesting(0.05),trivial,file(bvfunc10,i2_1_1_2_2_1_1__bvfunc10)]).

fof(i1_1_1_2_2_1_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_1__bvfunc10])],[e3_1_1_2_2_1_1__bvfunc10,i2_1_1_2_2_1_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,i1_1_1_2_2_1_1__bvfunc10),[file(bvfunc10,i1_1_1_2_2_1_1__bvfunc10)]]).

fof(i1_1_1_2_2_1__bvfunc10,plain,
    ( k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1
   => ( k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_1_2_2_1_1__bvfunc10])],[e1_1_1_2_2_1_1__bvfunc10,i1_1_1_2_2_1_1__bvfunc10]),
    [interesting(0.2),file(bvfunc10,i1_1_1_2_2_1__bvfunc10),[file(bvfunc10,i1_1_1_2_2_1__bvfunc10)]]).

fof(e1_1_1_2_2_1_2__bvfunc10,assumption,(
    k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1 ),
    introduced(assumption,[file(bvfunc10,e1_1_1_2_2_1_2__bvfunc10)]),
    [interesting(0.05),axiom,file(bvfunc10,e1_1_1_2_2_1_2__bvfunc10)]).

fof(e3_1_1_2_2_1_2__bvfunc10,plain,
    ( k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10) = k8_margrel1
    | k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,rc2_margrel1,t39_margrel1]),
    [interesting(0.05),file(bvfunc10,e3_1_1_2_2_1_2__bvfunc10),[file(bvfunc10,e3_1_1_2_2_1_2__bvfunc10)]]).

fof(e2_1_1_2_2_1_2__bvfunc10,plain,
    ( k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10) = k8_margrel1
    | k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10,rc2_margrel1,t39_margrel1]),
    [interesting(0.05),file(bvfunc10,e2_1_1_2_2_1_2__bvfunc10),[file(bvfunc10,e2_1_1_2_2_1_2__bvfunc10)]]).

fof(e4_1_1_2_2_1_2__bvfunc10,plain,
    ( k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1
    & k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc10,e1_1_1_2_2_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k1_binarith,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,rc2_margrel1,e3_1_1_2_2_1_2__bvfunc10,e1_1_1_2_2_1_2__bvfunc10,e2_1_1_2_2_1_2__bvfunc10,t19_binarith]),
    [interesting(0.05),file(bvfunc10,e4_1_1_2_2_1_2__bvfunc10),[file(bvfunc10,e4_1_1_2_2_1_2__bvfunc10)]]).

fof(e1_1_1_2_2_1_2_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k1_binarith(k1_binarith(k7_margrel1,k10_margrel1(k7_margrel1,k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10))),k12_margrel1(k7_margrel1,k7_margrel1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_1__bvfunc10,dt_c2_1__bvfunc10,e1_1_1_2_2_1_2__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c4_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,redefinition_k12_margrel1,dt_k10_margrel1,dt_k12_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e4_1_1_2_2_1_2__bvfunc10,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e1_1_1_2_2_1_2_1__bvfunc10),[file(bvfunc10,e1_1_1_2_2_1_2_1__bvfunc10)]]).

fof(e2_1_1_2_2_1_2_1__bvfunc10,plain,(
    k1_binarith(k1_binarith(k7_margrel1,k10_margrel1(k7_margrel1,k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10))),k12_margrel1(k7_margrel1,k7_margrel1)) = k3_binarith(k3_binarith(k7_margrel1,k7_margrel1),k12_margrel1(k7_margrel1,k7_margrel1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k12_margrel1,redefinition_k3_binarith,dt_k10_margrel1,dt_k12_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e2_1_1_2_2_1_2_1__bvfunc10),[file(bvfunc10,e2_1_1_2_2_1_2_1__bvfunc10)]]).

fof(e3_1_1_2_2_1_2_1__bvfunc10,plain,(
    k3_binarith(k3_binarith(k7_margrel1,k7_margrel1),k12_margrel1(k7_margrel1,k7_margrel1)) = k3_binarith(k3_binarith(k7_margrel1,k7_margrel1),k7_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([])],[commutativity_k1_binarith,existence_m1_subset_1,dt_k1_binarith,dt_k6_margrel1,dt_m1_subset_1,cc1_margrel1,fc1_binarith,fc3_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k3_binarith,redefinition_k12_margrel1,redefinition_k3_binarith,dt_k10_margrel1,dt_k12_margrel1,dt_k3_binarith,dt_k7_margrel1,fc5_margrel1,rc2_margrel1,t49_margrel1]),
    [interesting(0.02),file(bvfunc10,e3_1_1_2_2_1_2_1__bvfunc10),[file(bvfunc10,e3_1_1_2_2_1_2_1__bvfunc10)]]).

fof(e4_1_1_2_2_1_2_1__bvfunc10,plain,(
    k3_binarith(k3_binarith(k7_margrel1,k7_margrel1),k7_margrel1) = k3_binarith(k7_margrel1,k7_margrel1) ),
    inference(mizar_by,[status(thm),assumptions([])],[existence_m1_subset_1,dt_k6_margrel1,dt_m1_subset_1,cc1_margrel1,fc3_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k1_binarith,dt_k3_binarith,dt_k7_margrel1,fc1_binarith,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e4_1_1_2_2_1_2_1__bvfunc10),[file(bvfunc10,e4_1_1_2_2_1_2_1__bvfunc10)]]).

fof(e5_1_1_2_2_1_2_1__bvfunc10,plain,(
    k3_binarith(k7_margrel1,k7_margrel1) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([])],[existence_m1_subset_1,dt_k6_margrel1,dt_m1_subset_1,cc1_margrel1,fc3_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k3_binarith,dt_k1_binarith,dt_k3_binarith,dt_k7_margrel1,fc1_binarith,rc2_margrel1,t7_binarith]),
    [interesting(0.02),file(bvfunc10,e5_1_1_2_2_1_2_1__bvfunc10),[file(bvfunc10,e5_1_1_2_2_1_2_1__bvfunc10)]]).

fof(e5_1_1_2_2_1_2__bvfunc10,plain,(
    k1_binarith(k1_binarith(k10_margrel1(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k10_margrel1(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k10_margrel1(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1 ),
    inference(iterative_eq,[status(thm),assumptions([dt_c2_1__bvfunc10,e1_1_1_2_2_1_2__bvfunc10,dt_c4_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c3_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,redefinition_m2_relset_1,dt_k1_funct_2,dt_m1_fraenkel,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,rc1_valuat_1,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc1_binarith,fc3_margrel1,fc5_margrel1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,redefinition_k12_margrel1,redefinition_k3_binarith,dt_k10_margrel1,dt_k12_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k3_binarith,dt_k7_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2_2_1_2_1__bvfunc10,e2_1_1_2_2_1_2_1__bvfunc10,e3_1_1_2_2_1_2_1__bvfunc10,e4_1_1_2_2_1_2_1__bvfunc10,e5_1_1_2_2_1_2_1__bvfunc10]),
    [interesting(0.05),file(bvfunc10,e5_1_1_2_2_1_2__bvfunc10),[file(bvfunc10,e5_1_1_2_2_1_2__bvfunc10)]]).

fof(e6_1_1_2_2_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_1_2_2_1_2__bvfunc10,e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e5_1_1_2_2_1_2__bvfunc10,e1_1_1__bvfunc10,e2_1_1__bvfunc10,t43_margrel1]),
    [interesting(0.05),file(bvfunc10,e6_1_1_2_2_1_2__bvfunc10),[file(bvfunc10,e6_1_1_2_2_1_2__bvfunc10)]]).

fof(i2_1_1_2_2_1_2__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_1_2_2_1_2__bvfunc10)]),
    [interesting(0.05),trivial,file(bvfunc10,i2_1_1_2_2_1_2__bvfunc10)]).

fof(i1_1_1_2_2_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_1_2_2_1_2__bvfunc10,e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e6_1_1_2_2_1_2__bvfunc10,i2_1_1_2_2_1_2__bvfunc10]),
    [interesting(0.05),file(bvfunc10,i1_1_1_2_2_1_2__bvfunc10),[file(bvfunc10,i1_1_1_2_2_1_2__bvfunc10)]]).

fof(i2_1_1_2_2_1__bvfunc10,plain,
    ( k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
   => ( k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_1_2_2_1_2__bvfunc10])],[e1_1_1_2_2_1_2__bvfunc10,i1_1_1_2_2_1_2__bvfunc10]),
    [interesting(0.2),file(bvfunc10,i2_1_1_2_2_1__bvfunc10),[file(bvfunc10,i2_1_1_2_2_1__bvfunc10)]]).

fof(e1_1_1_2_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k10_margrel1(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_1__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k12_margrel1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k12_margrel1,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.35),file(bvfunc10,e1_1_1_2_1__bvfunc10),[file(bvfunc10,e1_1_1_2_1__bvfunc10)]]).

fof(e2_1_1_2_1__bvfunc10,plain,(
    k10_margrel1(k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),c1_1_1__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k10_margrel1(k10_margrel1(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_1__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_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_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_fraenkel,fc2_valuat_1,fc4_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k12_margrel1,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k12_margrel1,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k12_margrel1,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d6_valuat_1]),
    [interesting(0.35),file(bvfunc10,e2_1_1_2_1__bvfunc10),[file(bvfunc10,e2_1_1_2_1__bvfunc10)]]).

fof(e3_1_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),c1_1_1__bvfunc10),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.35),file(bvfunc10,e3_1_1_2_1__bvfunc10),[file(bvfunc10,e3_1_1_2_1__bvfunc10)]]).

fof(e4_1_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10),c1_1_1__bvfunc10)),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.35),file(bvfunc10,e4_1_1_2_1__bvfunc10),[file(bvfunc10,e4_1_1_2_1__bvfunc10)]]).

fof(e5_1_1_2_1__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10),c1_1_1__bvfunc10)) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_k1_zfmisc_1,dt_k2_zfmisc_1,cc1_fraenkel,rc1_fraenkel,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m1_relset_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k6_bvfunc_1,dt_m1_fraenkel,dt_m1_relset_1,dt_m2_relset_1,fc1_binarith,fc1_fraenkel,fc2_valuat_1,fc5_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k3_binarith,commutativity_k8_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k3_binarith,redefinition_k8_bvfunc_1,redefinition_k8_funct_2,redefinition_m2_fraenkel,dt_k10_margrel1,dt_k1_binarith,dt_k1_fraenkel,dt_k1_funct_1,dt_k3_binarith,dt_k6_margrel1,dt_k8_bvfunc_1,dt_k8_funct_2,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,d7_bvfunc_1]),
    [interesting(0.35),file(bvfunc10,e5_1_1_2_1__bvfunc10),[file(bvfunc10,e5_1_1_2_1__bvfunc10)]]).

fof(e2_1_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e1_1_1_2_1__bvfunc10,e2_1_1_2_1__bvfunc10,e3_1_1_2_1__bvfunc10,e4_1_1_2_1__bvfunc10,e5_1_1_2_1__bvfunc10]),
    [interesting(0.5),file(bvfunc10,e2_1_1_2__bvfunc10),[file(bvfunc10,e2_1_1_2__bvfunc10)]]).

fof(e3_1_1_2__bvfunc10,plain,(
    k10_margrel1(k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))),k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e2_1_1_2__bvfunc10,e1_1_1_2__bvfunc10,t43_margrel1]),
    [interesting(0.5),file(bvfunc10,e3_1_1_2__bvfunc10),[file(bvfunc10,e3_1_1_2__bvfunc10)]]).

fof(e1_1_1_2_2_1__bvfunc10,plain,
    ( k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1
    | k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2__bvfunc10])],[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_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k7_margrel1,dt_k8_margrel1,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc1_binarith,fc5_margrel1,rc2_margrel1,e3_1_1_2__bvfunc10,t45_margrel1]),
    [interesting(0.2),file(bvfunc10,e1_1_1_2_2_1__bvfunc10),[file(bvfunc10,e1_1_1_2_2_1__bvfunc10)]]).

fof(e4_1_1_2__bvfunc10,plain,
    ( ( k10_margrel1(k1_binarith(k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10)),k1_binarith(k1_funct_1(c3_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10))) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 )
    | ( k1_binarith(k1_funct_1(c4_1__bvfunc10,c1_1_1__bvfunc10),k1_funct_1(c2_1__bvfunc10,c1_1_1__bvfunc10)) = k7_margrel1
      & k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) ),
    inference(percases,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2__bvfunc10])],[i1_1_1_2_2_1__bvfunc10,i2_1_1_2_2_1__bvfunc10,e1_1_1_2_2_1__bvfunc10]),
    [interesting(0.5),file(bvfunc10,e4_1_1_2__bvfunc10),[file(bvfunc10,e4_1_1_2__bvfunc10)]]).

fof(e5_1_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2__bvfunc10])],[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,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc1_binarith,fc3_margrel1,fc5_margrel1,rc2_margrel1,commutativity_k10_margrel1,commutativity_k1_binarith,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k10_margrel1,dt_k1_binarith,dt_k1_funct_1,dt_k6_valuat_1,dt_k7_margrel1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e4_1_1_2__bvfunc10]),
    [interesting(0.5),file(bvfunc10,e5_1_1_2__bvfunc10),[file(bvfunc10,e5_1_1_2__bvfunc10)]]).

fof(i2_1_1_2__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i2_1_1_2__bvfunc10)]),
    [interesting(0.5),trivial,file(bvfunc10,i2_1_1_2__bvfunc10)]).

fof(i1_1_1_2__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e1_1_1_2__bvfunc10])],[e5_1_1_2__bvfunc10,i2_1_1_2__bvfunc10]),
    [interesting(0.5),file(bvfunc10,i1_1_1_2__bvfunc10),[file(bvfunc10,i1_1_1_2__bvfunc10)]]).

fof(e3_1_1__bvfunc10,plain,
    ( k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) != k8_margrel1
   => k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(discharge_asm,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_1_2__bvfunc10])],[e1_1_1_2__bvfunc10,i1_1_1_2__bvfunc10]),
    [interesting(0.65),file(bvfunc10,e3_1_1__bvfunc10),[file(bvfunc10,e3_1_1__bvfunc10)]]).

fof(e4_1_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(mizar_by,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[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,commutativity_k6_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k4_valuat_1,dt_k6_bvfunc_1,dt_k6_margrel1,dt_m1_subset_1,dt_m2_fraenkel,cc1_margrel1,cc1_valuat_1,fc3_margrel1,commutativity_k6_valuat_1,commutativity_k8_bvfunc_1,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,dt_k1_funct_1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,e3_1_1__bvfunc10]),
    [interesting(0.65),file(bvfunc10,e4_1_1__bvfunc10),[file(bvfunc10,e4_1_1__bvfunc10)]]).

fof(i3_1_1__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i3_1_1__bvfunc10)]),
    [interesting(0.65),trivial,file(bvfunc10,i3_1_1__bvfunc10)]).

fof(i2_1_1__bvfunc10,plain,(
    k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(conclusion,[status(thm),assumptions([e1_1_1__bvfunc10,dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e4_1_1__bvfunc10,i3_1_1__bvfunc10]),
    [interesting(0.65),file(bvfunc10,i2_1_1__bvfunc10),[file(bvfunc10,i2_1_1__bvfunc10)]]).

fof(i1_1_1__bvfunc10,plain,
    ( k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1
   => k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c1_1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[e1_1_1__bvfunc10])],[e1_1_1__bvfunc10,i2_1_1__bvfunc10]),
    [interesting(0.65),file(bvfunc10,i1_1_1__bvfunc10),[file(bvfunc10,i1_1_1__bvfunc10)]]).

fof(i1_1_1_tmp__bvfunc10,plain,
    ( m1_subset_1(c1_1_1__bvfunc10,c1_1__bvfunc10)
   => ( k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1
     => k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),c1_1_1__bvfunc10) = k8_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10]),discharge_asm(discharge,[dt_c1_1_1__bvfunc10])],[dt_c1_1_1__bvfunc10,i1_1_1__bvfunc10]),
    [interesting(0.8),e1_1__bvfunc10]).

fof(e1_1__bvfunc10,plain,(
    ! [A] : 
      ( m1_subset_1(A,c1_1__bvfunc10)
     => ( k1_funct_1(k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1
       => k1_funct_1(k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),A) = k8_margrel1 ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[i1_1_1_tmp__bvfunc10,dh_c1_1_1__bvfunc10]),
    [interesting(0.8),file(bvfunc10,e1_1__bvfunc10),[file(bvfunc10,e1_1__bvfunc10)]]).

fof(e2_1__bvfunc10,plain,(
    r1_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,rc1_fraenkel,commutativity_k4_valuat_1,commutativity_k6_bvfunc_1,existence_m1_fraenkel,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k4_valuat_1,dt_k6_bvfunc_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,commutativity_k8_bvfunc_1,reflexivity_r1_bvfunc_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k1_funct_1,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_k8_margrel1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,cc1_margrel1,cc1_valuat_1,fc3_margrel1,e1_1__bvfunc10,d15_bvfunc_1]),
    [interesting(0.8),file(bvfunc10,e2_1__bvfunc10),[file(bvfunc10,e2_1__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(e5_1__bvfunc10,plain,(
    k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[existence_m1_relset_1,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,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_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_k6_valuat_1,redefinition_k8_bvfunc_1,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_margrel1,dt_k6_valuat_1,dt_k8_bvfunc_1,dt_m2_fraenkel,dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,fc3_margrel1,e4_1__bvfunc10,e2_1__bvfunc10,t18_bvfunc_1]),
    [interesting(0.8),file(bvfunc10,e5_1__bvfunc10),[file(bvfunc10,e5_1__bvfunc10)]]).

fof(i3_1__bvfunc10,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc10,i3_1__bvfunc10)]),
    [interesting(0.8),trivial,file(bvfunc10,i3_1__bvfunc10)]).

fof(i2_1__bvfunc10,plain,(
    k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1__bvfunc10,dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[e5_1__bvfunc10,i3_1__bvfunc10]),
    [interesting(0.8),file(bvfunc10,i2_1__bvfunc10),[file(bvfunc10,i2_1__bvfunc10)]]).

fof(i2_1_tmp__bvfunc10,plain,
    ( ( m2_fraenkel(c2_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
      & m2_fraenkel(c3_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
      & m2_fraenkel(c4_1__bvfunc10,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1)) )
   => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k6_valuat_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k6_valuat_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,c2_1__bvfunc10,c3_1__bvfunc10),k8_bvfunc_1(c1_1__bvfunc10,c3_1__bvfunc10,c4_1__bvfunc10)),k8_bvfunc_1(c1_1__bvfunc10,c4_1__bvfunc10,c2_1__bvfunc10)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__bvfunc10]),discharge_asm(discharge,[dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10])],[dt_c2_1__bvfunc10,dt_c3_1__bvfunc10,dt_c4_1__bvfunc10,i2_1__bvfunc10]),
    [interesting(0.8),i1_1__bvfunc10]).

fof(i1_1__bvfunc10,plain,(
    ! [A] : 
      ( m2_fraenkel(A,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
     => ! [B] : 
          ( m2_fraenkel(B,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
         => ! [C] : 
              ( m2_fraenkel(C,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
             => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,A,B),k6_valuat_1(c1_1__bvfunc10,B,C)),k6_valuat_1(c1_1__bvfunc10,C,A)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,A,B),k8_bvfunc_1(c1_1__bvfunc10,B,C)),k8_bvfunc_1(c1_1__bvfunc10,C,A)) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__bvfunc10])],[i2_1_tmp__bvfunc10,dh_c2_1__bvfunc10,dh_c3_1__bvfunc10,dh_c4_1__bvfunc10]),
    [interesting(0.8),file(bvfunc10,i1_1__bvfunc10),[file(bvfunc10,i1_1__bvfunc10)]]).

fof(i1_1_tmp__bvfunc10,plain,
    ( ~ v1_xboole_0(c1_1__bvfunc10)
   => ! [A] : 
        ( m2_fraenkel(A,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
       => ! [B] : 
            ( m2_fraenkel(B,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
           => ! [C] : 
                ( m2_fraenkel(C,c1_1__bvfunc10,k6_margrel1,k1_fraenkel(c1_1__bvfunc10,k6_margrel1))
               => k8_bvfunc_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,A,B),k6_valuat_1(c1_1__bvfunc10,B,C)),k6_valuat_1(c1_1__bvfunc10,C,A)) = k6_valuat_1(c1_1__bvfunc10,k6_valuat_1(c1_1__bvfunc10,k8_bvfunc_1(c1_1__bvfunc10,A,B),k8_bvfunc_1(c1_1__bvfunc10,B,C)),k8_bvfunc_1(c1_1__bvfunc10,C,A)) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_1__bvfunc10])],[dt_c1_1__bvfunc10,i1_1__bvfunc10]),
    [interesting(1),t1_bvfunc10]).

fof(t1_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,C),k6_valuat_1(A,C,D)),k6_valuat_1(A,D,B)) = k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,C,D)),k8_bvfunc_1(A,D,B)) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_1_tmp__bvfunc10,dh_c1_1__bvfunc10]),
    [interesting(1),file(bvfunc10,t1_bvfunc10),[file(bvfunc10,t1_bvfunc10)]]).