% Mizar ND problem: t8_bvfunc11,bvfunc11,255,35 
fof(dh_c1_8__bvfunc11,definition,
    ( ( ~ v1_xboole_0(c1_8__bvfunc11)
     => ! [A] : 
          ( m2_fraenkel(A,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
         => ! [B] : 
              ( m2_fraenkel(B,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
             => ! [C] : 
                  ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_8__bvfunc11)
                     => ( r1_bvfunc_1(c1_8__bvfunc11,A,B)
                       => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,A,C,D),k7_bvfunc_2(c1_8__bvfunc11,B,C,D)) ) ) ) ) ) )
   => ! [E] : 
        ( ~ v1_xboole_0(E)
       => ! [F] : 
            ( m2_fraenkel(F,E,k6_margrel1,k1_fraenkel(E,k6_margrel1))
           => ! [G] : 
                ( m2_fraenkel(G,E,k6_margrel1,k1_fraenkel(E,k6_margrel1))
               => ! [H] : 
                    ( m1_subset_1(H,k1_zfmisc_1(k1_bvfunc_2(E)))
                   => ! [I] : 
                        ( m1_eqrel_1(I,E)
                       => ( r1_bvfunc_1(E,F,G)
                         => r1_bvfunc_1(E,k6_bvfunc_2(E,F,H,I),k7_bvfunc_2(E,G,H,I)) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_8__bvfunc11),file(bvfunc11,c1_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c1_8__bvfunc11)]).

fof(dh_c2_8__bvfunc11,definition,
    ( ( m2_fraenkel(c2_8__bvfunc11,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
     => ! [A] : 
          ( m2_fraenkel(A,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
         => ! [B] : 
              ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_8__bvfunc11)
                 => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,A)
                   => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,B,C),k7_bvfunc_2(c1_8__bvfunc11,A,B,C)) ) ) ) ) )
   => ! [D] : 
        ( m2_fraenkel(D,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
       => ! [E] : 
            ( m2_fraenkel(E,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
           => ! [F] : 
                ( m1_subset_1(F,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
               => ! [G] : 
                    ( m1_eqrel_1(G,c1_8__bvfunc11)
                   => ( r1_bvfunc_1(c1_8__bvfunc11,D,E)
                     => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,D,F,G),k7_bvfunc_2(c1_8__bvfunc11,E,F,G)) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c2_8__bvfunc11),file(bvfunc11,c2_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c2_8__bvfunc11)]).

fof(dh_c3_8__bvfunc11,definition,
    ( ( m2_fraenkel(c3_8__bvfunc11,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
     => ! [A] : 
          ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
         => ! [B] : 
              ( m1_eqrel_1(B,c1_8__bvfunc11)
             => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
               => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,A,B),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,A,B)) ) ) ) )
   => ! [C] : 
        ( m2_fraenkel(C,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
       => ! [D] : 
            ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
           => ! [E] : 
                ( m1_eqrel_1(E,c1_8__bvfunc11)
               => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,C)
                 => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,D,E),k7_bvfunc_2(c1_8__bvfunc11,C,D,E)) ) ) ) ) ),
    introduced(definition,[new_symbol(c3_8__bvfunc11),file(bvfunc11,c3_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c3_8__bvfunc11)]).

fof(dh_c4_8__bvfunc11,definition,
    ( ( m1_subset_1(c4_8__bvfunc11,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
     => ! [A] : 
          ( m1_eqrel_1(A,c1_8__bvfunc11)
         => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
           => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,A),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,A)) ) ) )
   => ! [B] : 
        ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
       => ! [C] : 
            ( m1_eqrel_1(C,c1_8__bvfunc11)
           => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
             => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,B,C),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,B,C)) ) ) ) ),
    introduced(definition,[new_symbol(c4_8__bvfunc11),file(bvfunc11,c4_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c4_8__bvfunc11)]).

fof(dh_c5_8__bvfunc11,definition,
    ( ( m1_eqrel_1(c5_8__bvfunc11,c1_8__bvfunc11)
     => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
       => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11)) ) )
   => ! [A] : 
        ( m1_eqrel_1(A,c1_8__bvfunc11)
       => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
         => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,A),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,A)) ) ) ),
    introduced(definition,[new_symbol(c5_8__bvfunc11),file(bvfunc11,c5_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c5_8__bvfunc11)]).

fof(e1_8__bvfunc11,assumption,(
    r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11) ),
    introduced(assumption,[file(bvfunc11,e1_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,e1_8__bvfunc11)]).

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

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

fof(existence_m1_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(existence_m1_t_1topsp,axiom,(
    ! [A] : 
    ? [B] : m1_t_1topsp(B,A) ),
    file(t_1topsp,m1_t_1topsp),
    [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]).

fof(dt_k1_partit1,axiom,(
    $true ),
    file(partit1,k1_partit1),
    [interesting(0.9),axiom,file(partit1,k1_partit1)]).

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(dt_m1_t_1topsp,axiom,(
    $true ),
    file(t_1topsp,m1_t_1topsp),
    [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]).

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

fof(fc2_fraenkel,theorem,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => ( v1_finset_1(k1_funct_2(A,B))
        & v1_fraenkel(k1_funct_2(A,B)) ) ) ),
    file(fraenkel,fc2_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,fc2_fraenkel)]).

fof(fc4_subset_1,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc4_subset_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_margrel1,theorem,(
    ? [A] : v1_margrel1(A) ),
    file(margrel1,rc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,rc1_margrel1)]).

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_k2_tarski,theorem,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(existence_m1_eqrel_1,axiom,(
    ! [A] : 
    ? [B] : m1_eqrel_1(B,A) ),
    file(eqrel_1,m1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_1)]).

fof(existence_m1_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_k1_bvfunc_2,definition,(
    ! [A] : k1_bvfunc_2(A) = k1_partit1(A) ),
    file(bvfunc_2,k1_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k1_bvfunc_2)]).

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_bvfunc_2,axiom,(
    ! [A] : 
      ( v1_t_1topsp(k1_bvfunc_2(A),A)
      & m1_t_1topsp(k1_bvfunc_2(A),A) ) ),
    file(bvfunc_2,k1_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k1_bvfunc_2)]).

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_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

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

fof(dt_m1_eqrel_1,axiom,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ),
    file(eqrel_1,m1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_1)]).

fof(dt_m1_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_eqrel_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(eqrel_1,cc1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,cc1_eqrel_1)]).

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

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

fof(fc1_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc1_subset_1)]).

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

fof(fc3_subset_1,theorem,(
    ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ),
    file(subset_1,fc3_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc3_subset_1)]).

fof(rc1_subset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc1_subset_1)]).

fof(rc2_subset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]).

fof(spc0_boole,theorem,(
    v1_xboole_0(0) ),
    file(boole,spc0_boole),
    [interesting(0.9),axiom,file(boole,spc0_boole)]).

fof(spc1_boole,theorem,(
    ~ v1_xboole_0(1) ),
    file(boole,spc1_boole),
    [interesting(0.9),axiom,file(boole,spc1_boole)]).

fof(t1_subset,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    [interesting(0.9),axiom,file(subset,t1_subset)]).

fof(t2_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    [interesting(0.9),axiom,file(subset,t2_subset)]).

fof(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(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_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_bvfunc_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A)))
        & m1_eqrel_1(D,A) )
     => m2_fraenkel(k6_bvfunc_2(A,B,C,D),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(bvfunc_2,k6_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k6_bvfunc_2)]).

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

fof(dt_k7_bvfunc_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_fraenkel(A,k6_margrel1))
        & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A)))
        & m1_eqrel_1(D,A) )
     => m2_fraenkel(k7_bvfunc_2(A,B,C,D),A,k6_margrel1,k1_fraenkel(A,k6_margrel1)) ) ),
    file(bvfunc_2,k7_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k7_bvfunc_2)]).

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_8__bvfunc11,assumption,(
    ~ v1_xboole_0(c1_8__bvfunc11) ),
    introduced(assumption,[file(bvfunc11,c1_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c1_8__bvfunc11)]).

fof(dt_c2_8__bvfunc11,assumption,(
    m2_fraenkel(c2_8__bvfunc11,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc11,c2_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c2_8__bvfunc11)]).

fof(dt_c3_8__bvfunc11,assumption,(
    m2_fraenkel(c3_8__bvfunc11,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1)) ),
    introduced(assumption,[file(bvfunc11,c3_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c3_8__bvfunc11)]).

fof(dt_c4_8__bvfunc11,assumption,(
    m1_subset_1(c4_8__bvfunc11,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11))) ),
    introduced(assumption,[file(bvfunc11,c4_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c4_8__bvfunc11)]).

fof(dt_c5_8__bvfunc11,assumption,(
    m1_eqrel_1(c5_8__bvfunc11,c1_8__bvfunc11) ),
    introduced(assumption,[file(bvfunc11,c5_8__bvfunc11)]),
    [interesting(0.8),axiom,file(bvfunc11,c5_8__bvfunc11)]).

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

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

fof(d12_margrel1,definition,(
    k6_margrel1 = k2_tarski(0,1) ),
    file(margrel1,d12_margrel1),
    [interesting(0.9),axiom,file(margrel1,d12_margrel1)]).

fof(t18_bvfunc_4,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A)))
             => ! [D] : 
                  ( m1_eqrel_1(D,A)
                 => ! [E] : 
                      ( m1_eqrel_1(E,A)
                     => r1_bvfunc_1(A,k6_bvfunc_2(A,B,C,D),k7_bvfunc_2(A,B,C,E)) ) ) ) ) ) ),
    file(bvfunc_4,t18_bvfunc_4),
    [interesting(0.9),axiom,file(bvfunc_4,t18_bvfunc_4)]).

fof(e3_8__bvfunc11,plain,(
    r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11])],[cc1_funct_7,existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,cc2_funct_7,fc2_fraenkel,fc4_subset_1,rc1_fraenkel,rc1_margrel1,rc1_valuat_1,commutativity_k2_tarski,reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_fraenkel,existence_m1_t_1topsp,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k1_partit1,dt_k1_xboole_0,dt_k2_tarski,dt_m1_fraenkel,dt_m1_t_1topsp,dt_m2_relset_1,fc1_fraenkel,fc1_margrel1,fc3_funct_7,fc3_subset_1,rc2_margrel1,spc0_boole,spc1_boole,t1_subset,t4_subset,t5_subset,t8_boole,spc0_boole,spc1_boole,reflexivity_r1_bvfunc_1,existence_m1_eqrel_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_bvfunc_2,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_bvfunc_2,dt_k1_fraenkel,dt_k1_zfmisc_1,dt_k6_bvfunc_2,dt_k6_margrel1,dt_k7_bvfunc_2,dt_m1_eqrel_1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11,cc1_eqrel_1,cc1_margrel1,cc1_valuat_1,cc2_eqrel_1,fc1_subset_1,fc3_margrel1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t6_boole,t7_boole,d12_margrel1,t18_bvfunc_4]),
    [interesting(0.8),file(bvfunc11,e3_8__bvfunc11),[file(bvfunc11,e3_8__bvfunc11)]]).

fof(t13_partit_2,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] : 
                  ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A)))
                 => ! [E] : 
                      ( m1_eqrel_1(E,A)
                     => ( r1_bvfunc_1(A,B,C)
                       => r1_bvfunc_1(A,k6_bvfunc_2(A,B,D,E),k6_bvfunc_2(A,C,D,E)) ) ) ) ) ) ) ),
    file(partit_2,t13_partit_2),
    [interesting(0.9),axiom,file(partit_2,t13_partit_2)]).

fof(e2_8__bvfunc11,plain,(
    r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11),k6_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11,e1_8__bvfunc11])],[cc1_funct_7,existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_fraenkel,cc2_funct_7,fc2_fraenkel,fc4_subset_1,rc1_fraenkel,rc1_margrel1,rc1_valuat_1,commutativity_k2_tarski,reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_fraenkel,existence_m1_t_1topsp,existence_m2_relset_1,redefinition_m2_relset_1,dt_k1_funct_2,dt_k1_partit1,dt_k1_xboole_0,dt_k2_tarski,dt_m1_fraenkel,dt_m1_t_1topsp,dt_m2_relset_1,fc1_fraenkel,fc1_margrel1,fc3_funct_7,fc3_subset_1,rc2_margrel1,spc0_boole,spc1_boole,t1_subset,t4_subset,t5_subset,t8_boole,spc0_boole,spc1_boole,reflexivity_r1_bvfunc_1,existence_m1_eqrel_1,existence_m1_subset_1,existence_m2_fraenkel,redefinition_k1_bvfunc_2,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_bvfunc_2,dt_k1_fraenkel,dt_k1_zfmisc_1,dt_k6_bvfunc_2,dt_k6_margrel1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m2_fraenkel,dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11,cc1_eqrel_1,cc1_margrel1,cc1_valuat_1,cc2_eqrel_1,fc1_subset_1,fc3_margrel1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t6_boole,t7_boole,d12_margrel1,e1_8__bvfunc11,t13_partit_2]),
    [interesting(0.8),file(bvfunc11,e2_8__bvfunc11),[file(bvfunc11,e2_8__bvfunc11)]]).

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(e4_8__bvfunc11,plain,(
    r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11,e1_8__bvfunc11])],[cc1_funct_7,reflexivity_r1_tarski,existence_m1_relset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k2_zfmisc_1,dt_m1_relset_1,dt_m1_t_1topsp,cc1_fraenkel,cc2_funct_7,fc2_fraenkel,fc4_subset_1,rc1_fraenkel,rc1_margrel1,rc1_valuat_1,rc2_margrel1,commutativity_k2_tarski,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_fraenkel,existence_m1_subset_1,existence_m2_relset_1,redefinition_k1_bvfunc_2,redefinition_m2_relset_1,dt_k1_bvfunc_2,dt_k1_funct_2,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_tarski,dt_m1_eqrel_1,dt_m1_fraenkel,dt_m1_subset_1,dt_m2_relset_1,cc1_eqrel_1,cc1_margrel1,cc1_valuat_1,cc2_eqrel_1,fc1_fraenkel,fc1_margrel1,fc1_subset_1,fc3_funct_7,fc3_subset_1,rc1_subset_1,rc2_subset_1,spc0_boole,spc1_boole,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,spc0_boole,spc1_boole,reflexivity_r1_bvfunc_1,existence_m2_fraenkel,redefinition_k1_fraenkel,redefinition_m2_fraenkel,dt_k1_fraenkel,dt_k6_bvfunc_2,dt_k6_margrel1,dt_k7_bvfunc_2,dt_m2_fraenkel,dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11,fc3_margrel1,t6_boole,t7_boole,t8_boole,d12_margrel1,e3_8__bvfunc11,e2_8__bvfunc11,t18_bvfunc_1]),
    [interesting(0.8),file(bvfunc11,e4_8__bvfunc11),[file(bvfunc11,e4_8__bvfunc11)]]).

fof(i7_8__bvfunc11,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc11,i7_8__bvfunc11)]),
    [interesting(0.8),trivial,file(bvfunc11,i7_8__bvfunc11)]).

fof(i6_8__bvfunc11,plain,(
    r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11,e1_8__bvfunc11])],[e4_8__bvfunc11,i7_8__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i6_8__bvfunc11),[file(bvfunc11,i6_8__bvfunc11)]]).

fof(i5_8__bvfunc11,plain,
    ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
   => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11)) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11,dt_c5_8__bvfunc11]),discharge_asm(discharge,[e1_8__bvfunc11])],[e1_8__bvfunc11,i6_8__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i5_8__bvfunc11),[file(bvfunc11,i5_8__bvfunc11)]]).

fof(i5_8_tmp__bvfunc11,plain,
    ( m1_eqrel_1(c5_8__bvfunc11,c1_8__bvfunc11)
   => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
     => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,c5_8__bvfunc11)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11]),discharge_asm(discharge,[dt_c5_8__bvfunc11])],[dt_c5_8__bvfunc11,i5_8__bvfunc11]),
    [interesting(0.8),i4_8__bvfunc11]).

fof(i4_8__bvfunc11,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_8__bvfunc11)
     => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
       => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,A),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,A)) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11,dt_c4_8__bvfunc11])],[i5_8_tmp__bvfunc11,dh_c5_8__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i4_8__bvfunc11),[file(bvfunc11,i4_8__bvfunc11)]]).

fof(i4_8_tmp__bvfunc11,plain,
    ( m1_subset_1(c4_8__bvfunc11,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
   => ! [A] : 
        ( m1_eqrel_1(A,c1_8__bvfunc11)
       => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
         => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,c4_8__bvfunc11,A),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,c4_8__bvfunc11,A)) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11]),discharge_asm(discharge,[dt_c4_8__bvfunc11])],[dt_c4_8__bvfunc11,i4_8__bvfunc11]),
    [interesting(0.8),i3_8__bvfunc11]).

fof(i3_8__bvfunc11,plain,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
     => ! [B] : 
          ( m1_eqrel_1(B,c1_8__bvfunc11)
         => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
           => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,A,B),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,A,B)) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11,dt_c3_8__bvfunc11])],[i4_8_tmp__bvfunc11,dh_c4_8__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i3_8__bvfunc11),[file(bvfunc11,i3_8__bvfunc11)]]).

fof(i3_8_tmp__bvfunc11,plain,
    ( m2_fraenkel(c3_8__bvfunc11,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
   => ! [A] : 
        ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
       => ! [B] : 
            ( m1_eqrel_1(B,c1_8__bvfunc11)
           => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,c3_8__bvfunc11)
             => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,A,B),k7_bvfunc_2(c1_8__bvfunc11,c3_8__bvfunc11,A,B)) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11]),discharge_asm(discharge,[dt_c3_8__bvfunc11])],[dt_c3_8__bvfunc11,i3_8__bvfunc11]),
    [interesting(0.8),i2_8__bvfunc11]).

fof(i2_8__bvfunc11,plain,(
    ! [A] : 
      ( m2_fraenkel(A,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
         => ! [C] : 
              ( m1_eqrel_1(C,c1_8__bvfunc11)
             => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,A)
               => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,B,C),k7_bvfunc_2(c1_8__bvfunc11,A,B,C)) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_8__bvfunc11,dt_c2_8__bvfunc11])],[i3_8_tmp__bvfunc11,dh_c3_8__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i2_8__bvfunc11),[file(bvfunc11,i2_8__bvfunc11)]]).

fof(i2_8_tmp__bvfunc11,plain,
    ( m2_fraenkel(c2_8__bvfunc11,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
   => ! [A] : 
        ( m2_fraenkel(A,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
       => ! [B] : 
            ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
           => ! [C] : 
                ( m1_eqrel_1(C,c1_8__bvfunc11)
               => ( r1_bvfunc_1(c1_8__bvfunc11,c2_8__bvfunc11,A)
                 => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,c2_8__bvfunc11,B,C),k7_bvfunc_2(c1_8__bvfunc11,A,B,C)) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_8__bvfunc11]),discharge_asm(discharge,[dt_c2_8__bvfunc11])],[dt_c2_8__bvfunc11,i2_8__bvfunc11]),
    [interesting(0.8),i1_8__bvfunc11]).

fof(i1_8__bvfunc11,plain,(
    ! [A] : 
      ( m2_fraenkel(A,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
     => ! [B] : 
          ( m2_fraenkel(B,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_8__bvfunc11)
                 => ( r1_bvfunc_1(c1_8__bvfunc11,A,B)
                   => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,A,C,D),k7_bvfunc_2(c1_8__bvfunc11,B,C,D)) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_8__bvfunc11])],[i2_8_tmp__bvfunc11,dh_c2_8__bvfunc11]),
    [interesting(0.8),file(bvfunc11,i1_8__bvfunc11),[file(bvfunc11,i1_8__bvfunc11)]]).

fof(i1_8_tmp__bvfunc11,plain,
    ( ~ v1_xboole_0(c1_8__bvfunc11)
   => ! [A] : 
        ( m2_fraenkel(A,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
       => ! [B] : 
            ( m2_fraenkel(B,c1_8__bvfunc11,k6_margrel1,k1_fraenkel(c1_8__bvfunc11,k6_margrel1))
           => ! [C] : 
                ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(c1_8__bvfunc11)))
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_8__bvfunc11)
                   => ( r1_bvfunc_1(c1_8__bvfunc11,A,B)
                     => r1_bvfunc_1(c1_8__bvfunc11,k6_bvfunc_2(c1_8__bvfunc11,A,C,D),k7_bvfunc_2(c1_8__bvfunc11,B,C,D)) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_8__bvfunc11])],[dt_c1_8__bvfunc11,i1_8__bvfunc11]),
    [interesting(1),t8_bvfunc11]).

fof(t8_bvfunc11,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] : 
                  ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(A)))
                 => ! [E] : 
                      ( m1_eqrel_1(E,A)
                     => ( r1_bvfunc_1(A,B,C)
                       => r1_bvfunc_1(A,k6_bvfunc_2(A,B,D,E),k7_bvfunc_2(A,C,D,E)) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_8_tmp__bvfunc11,dh_c1_8__bvfunc11]),
    [interesting(1),file(bvfunc11,t8_bvfunc11),[file(bvfunc11,t8_bvfunc11)]]).