% Mizar problem: t8_clopban2,clopban2,296,29 
fof(t8_clopban2,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] : 
          ( m1_struct_0(B,k6_clopban1(A,A),k8_clopban1(A,A))
         => ( k3_clopban2(A,k6_clopban2(A),B) = B
            & k3_clopban2(A,B,k6_clopban2(A)) = B ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_clvect_1,antisymmetry_r2_hidden,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_funct_1,cc1_funct_2,cc1_membered,cc1_relset_1,cc1_xreal_0,cc20_membered,cc2_funct_1,cc2_membered,cc2_xcmplx_0,cc2_xreal_0,cc3_membered,cc3_nat_1,cc3_xreal_0,cc4_membered,cc4_xreal_0,cc5_funct_2,cc5_membered,cc5_xreal_0,cc6_funct_2,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,d10_clopban1,d2_clopban1,d2_clopban2,d5_clopban2,d6_clopban1,d8_clopban1,dt_g1_clvect_1,dt_k10_csspace,dt_k11_clopban1,dt_k1_clopban2,dt_k1_fraenkel,dt_k1_funct_2,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_clopban1,dt_k2_lopban_1,dt_k2_numbers,dt_k2_zfmisc_1,dt_k3_clopban1,dt_k3_clopban2,dt_k4_lopban_1,dt_k5_clopban1,dt_k5_relat_1,dt_k6_clopban1,dt_k6_clopban2,dt_k6_partfun1,dt_k6_relat_1,dt_k7_funct_2,dt_k8_clopban1,dt_k8_csspace,dt_k9_csspace,dt_l1_clvect_1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l2_clvect_1,dt_l2_struct_0,dt_m1_fraenkel,dt_m1_relset_1,dt_m1_struct_0,dt_m1_subset_1,dt_m2_fraenkel,dt_m2_relset_1,dt_u1_clvect_1,dt_u1_rlvect_1,dt_u1_struct_0,dt_u2_struct_0,existence_l1_clvect_1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l2_clvect_1,existence_l2_struct_0,existence_m1_fraenkel,existence_m1_relset_1,existence_m1_struct_0,existence_m1_subset_1,existence_m2_fraenkel,existence_m2_relset_1,fc1_clopban1,fc1_funct_1,fc1_funct_2,fc1_membered,fc1_struct_0,fc2_clopban1,fc2_funct_1,fc2_funct_2,fc3_clopban1,fc4_clopban1,fc5_clopban1,fc6_clopban1,fc6_membered,fc7_clopban1,fc8_clopban1,free_g1_clvect_1,rc1_clopban1,rc1_funct_1,rc1_funct_2,rc1_membered,rc1_nat_1,rc1_xcmplx_0,rc1_xreal_0,rc2_clopban1,rc2_funct_1,rc2_xcmplx_0,rc2_xreal_0,rc3_funct_1,rc3_struct_0,rc3_xreal_0,rc4_struct_0,rc4_xreal_0,rc5_struct_0,redefinition_k1_clopban2,redefinition_k1_fraenkel,redefinition_k6_partfun1,redefinition_k7_funct_2,redefinition_m1_struct_0,redefinition_m2_fraenkel,redefinition_m2_relset_1,reflexivity_r1_tarski,t1_subset,t2_subset,t3_clopban2,t3_subset,t4_subset,t5_subset,t6_boole,t6_clopban2,t7_boole,t8_boole]),
    [file(clopban2,t8_clopban2)]).

fof(abstractness_v1_clvect_1,axiom,(
    ! [A] : 
      ( l1_clvect_1(A)
     => ( v1_clvect_1(A)
       => A = g1_clvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u1_clvect_1(A)) ) ) ),
    file(clvect_1,v1_clvect_1),
    []).

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

fof(cc10_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_membered),
    []).

fof(cc11_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(membered,cc11_membered),
    []).

fof(cc12_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc12_membered),
    []).

fof(cc13_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc13_membered),
    []).

fof(cc14_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v4_ordinal2(B)
            & v1_xreal_0(B)
            & v1_int_1(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc14_membered),
    []).

fof(cc15_membered,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    []).

fof(cc16_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    []).

fof(cc17_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    []).

fof(cc18_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B) ) ) ) ),
    file(membered,cc18_membered),
    []).

fof(cc19_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B) ) ) ) ),
    file(membered,cc19_membered),
    []).

fof(cc1_funct_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_1),
    []).

fof(cc1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_partfun1(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc1_funct_2),
    []).

fof(cc1_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    []).

fof(cc1_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    []).

fof(cc1_xreal_0,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xreal_0(A) ) ),
    file(xreal_0,cc1_xreal_0),
    []).

fof(cc20_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B)
            & v5_membered(B) ) ) ) ),
    file(membered,cc20_membered),
    []).

fof(cc2_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_1),
    []).

fof(cc2_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    []).

fof(cc2_xcmplx_0,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xcmplx_0(A) ) ),
    file(xcmplx_0,cc2_xcmplx_0),
    []).

fof(cc2_xreal_0,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    []).

fof(cc3_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    []).

fof(cc3_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc3_nat_1),
    []).

fof(cc3_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc3_xreal_0),
    []).

fof(cc4_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => v1_membered(A) ) ),
    file(membered,cc4_membered),
    []).

fof(cc4_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v2_xreal_0(A) ) ) ),
    file(xreal_0,cc4_xreal_0),
    []).

fof(cc5_funct_2,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc5_funct_2),
    []).

fof(cc5_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k2_numbers))
     => v1_membered(A) ) ),
    file(membered,cc5_membered),
    []).

fof(cc5_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    []).

fof(cc6_funct_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & ~ v1_xboole_0(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc6_funct_2),
    []).

fof(cc6_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_xreal_0(A) ) ) ),
    file(xreal_0,cc6_xreal_0),
    []).

fof(cc7_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    []).

fof(cc8_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    []).

fof(d10_clopban1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] : 
              ( r2_hidden(C,k8_clopban1(A,B))
             => k11_clopban1(A,B,C) = C ) ) ) ),
    file(clopban1,d10_clopban1),
    []).

fof(d2_clopban1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => k3_clopban1(A,B) = g1_clvect_1(k1_fraenkel(A,u1_struct_0(B)),k4_lopban_1(A,B),k2_lopban_1(A,B),k2_clopban1(A,B)) ) ) ),
    file(clopban1,d2_clopban1),
    []).

fof(d2_clopban2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] : 
          ( m1_struct_0(B,k6_clopban1(A,A),k8_clopban1(A,A))
         => ! [C] : 
              ( m1_struct_0(C,k6_clopban1(A,A),k8_clopban1(A,A))
             => k3_clopban2(A,B,C) = k1_clopban2(A,k11_clopban1(A,A,B),k11_clopban1(A,A,C)) ) ) ) ),
    file(clopban2,d2_clopban2),
    []).

fof(d5_clopban2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => k6_clopban2(A) = k6_partfun1(u1_struct_0(A)) ) ),
    file(clopban2,d5_clopban2),
    []).

fof(d6_clopban1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & l1_clvect_1(B) )
         => k6_clopban1(A,B) = g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))) ) ) ),
    file(clopban1,d6_clopban1),
    []).

fof(d8_clopban1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v2_clvect_1(B)
            & v5_clvect_1(B)
            & l2_clvect_1(B) )
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_clopban1(A,B))))
             => ( C = k8_clopban1(A,B)
              <=> ! [D] : 
                    ( r2_hidden(D,C)
                  <=> ( v1_funct_1(D)
                      & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                      & v1_clopban1(D,A,B)
                      & v2_clopban1(D,A,B)
                      & v3_clopban1(D,A,B)
                      & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ) ) ),
    file(clopban1,d8_clopban1),
    []).

fof(dt_g1_clvect_1,axiom,(
    ! [A,B,C,D] : 
      ( ( m1_subset_1(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k2_numbers,A),A) )
     => ( v1_clvect_1(g1_clvect_1(A,B,C,D))
        & l1_clvect_1(g1_clvect_1(A,B,C,D)) ) ) ),
    file(clvect_1,g1_clvect_1),
    []).

fof(dt_k10_csspace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => m1_subset_1(k10_csspace(A,B),B) ) ),
    file(csspace,k10_csspace),
    []).

fof(dt_k11_clopban1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( v1_funct_1(k11_clopban1(A,B,C))
        & v1_funct_2(k11_clopban1(A,B,C),u1_struct_0(A),u1_struct_0(B))
        & v1_clopban1(k11_clopban1(A,B,C),A,B)
        & v2_clopban1(k11_clopban1(A,B,C),A,B)
        & v3_clopban1(k11_clopban1(A,B,C),A,B)
        & m2_relset_1(k11_clopban1(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) ),
    file(clopban1,k11_clopban1),
    []).

fof(dt_k1_clopban2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
        & v1_clopban1(B,A,A)
        & v2_clopban1(B,A,A)
        & v3_clopban1(B,A,A)
        & m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A))
        & v1_clopban1(C,A,A)
        & v2_clopban1(C,A,A)
        & v3_clopban1(C,A,A)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
     => ( v1_funct_1(k1_clopban2(A,B,C))
        & v1_funct_2(k1_clopban2(A,B,C),u1_struct_0(A),u1_struct_0(A))
        & v1_clopban1(k1_clopban2(A,B,C),A,A)
        & v2_clopban1(k1_clopban2(A,B,C),A,A)
        & v3_clopban1(k1_clopban2(A,B,C),A,A)
        & m2_relset_1(k1_clopban2(A,B,C),u1_struct_0(A),u1_struct_0(A)) ) ) ),
    file(clopban2,k1_clopban2),
    []).

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

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

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

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

fof(dt_k2_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( v1_funct_1(k2_clopban1(A,B))
        & v1_funct_2(k2_clopban1(A,B),k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
        & m2_relset_1(k2_clopban1(A,B),k2_zfmisc_1(k2_numbers,k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) ) ) ),
    file(clopban1,k2_clopban1),
    []).

fof(dt_k2_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_rlvect_1(B) )
     => ( v1_funct_1(k2_lopban_1(A,B))
        & v1_funct_2(k2_lopban_1(A,B),k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B)))
        & m2_relset_1(k2_lopban_1(A,B),k2_zfmisc_1(k1_fraenkel(A,u1_struct_0(B)),k1_fraenkel(A,u1_struct_0(B))),k1_fraenkel(A,u1_struct_0(B))) ) ) ),
    file(lopban_1,k2_lopban_1),
    []).

fof(dt_k2_numbers,axiom,(
    $true ),
    file(numbers,k2_numbers),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(dt_k3_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k3_clopban1(A,B))
        & v3_rlvect_1(k3_clopban1(A,B))
        & v4_rlvect_1(k3_clopban1(A,B))
        & v5_rlvect_1(k3_clopban1(A,B))
        & v6_rlvect_1(k3_clopban1(A,B))
        & v2_clvect_1(k3_clopban1(A,B))
        & l1_clvect_1(k3_clopban1(A,B)) ) ) ),
    file(clopban1,k3_clopban1),
    []).

fof(dt_k3_clopban2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & m1_subset_1(B,k8_clopban1(A,A))
        & m1_subset_1(C,k8_clopban1(A,A)) )
     => m1_struct_0(k3_clopban2(A,B,C),k6_clopban1(A,A),k8_clopban1(A,A)) ) ),
    file(clopban2,k3_clopban2),
    []).

fof(dt_k4_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l2_struct_0(B) )
     => m2_fraenkel(k4_lopban_1(A,B),A,u1_struct_0(B),k1_fraenkel(A,u1_struct_0(B))) ) ),
    file(lopban_1,k4_lopban_1),
    []).

fof(dt_k5_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => m1_subset_1(k5_clopban1(A,B),k1_zfmisc_1(u1_struct_0(k3_clopban1(u1_struct_0(A),B)))) ) ),
    file(clopban1,k5_clopban1),
    []).

fof(dt_k5_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => v1_relat_1(k5_relat_1(A,B)) ) ),
    file(relat_1,k5_relat_1),
    []).

fof(dt_k6_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k6_clopban1(A,B))
        & v3_rlvect_1(k6_clopban1(A,B))
        & v4_rlvect_1(k6_clopban1(A,B))
        & v5_rlvect_1(k6_clopban1(A,B))
        & v6_rlvect_1(k6_clopban1(A,B))
        & v2_clvect_1(k6_clopban1(A,B))
        & l1_clvect_1(k6_clopban1(A,B)) ) ) ),
    file(clopban1,k6_clopban1),
    []).

fof(dt_k6_clopban2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => m1_struct_0(k6_clopban2(A),k6_clopban1(A,A),k8_clopban1(A,A)) ) ),
    file(clopban2,k6_clopban2),
    []).

fof(dt_k6_partfun1,axiom,(
    ! [A] : 
      ( v1_partfun1(k6_partfun1(A),A,A)
      & m2_relset_1(k6_partfun1(A),A,A) ) ),
    file(partfun1,k6_partfun1),
    []).

fof(dt_k6_relat_1,axiom,(
    ! [A] : v1_relat_1(k6_relat_1(A)) ),
    file(relat_1,k6_relat_1),
    []).

fof(dt_k7_funct_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => ( v1_funct_1(k7_funct_2(A,B,C,D,E))
        & v1_funct_2(k7_funct_2(A,B,C,D,E),A,C)
        & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) ) ) ),
    file(funct_2,k7_funct_2),
    []).

fof(dt_k8_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => m1_subset_1(k8_clopban1(A,B),k1_zfmisc_1(u1_struct_0(k6_clopban1(A,B)))) ) ),
    file(clopban1,k8_clopban1),
    []).

fof(dt_k8_csspace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_funct_1(k8_csspace(A,B))
        & v1_funct_2(k8_csspace(A,B),k2_zfmisc_1(B,B),B)
        & m2_relset_1(k8_csspace(A,B),k2_zfmisc_1(B,B),B) ) ) ),
    file(csspace,k8_csspace),
    []).

fof(dt_k9_csspace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_funct_1(k9_csspace(A,B))
        & v1_funct_2(k9_csspace(A,B),k2_zfmisc_1(k2_numbers,B),B)
        & m2_relset_1(k9_csspace(A,B),k2_zfmisc_1(k2_numbers,B),B) ) ) ),
    file(csspace,k9_csspace),
    []).

fof(dt_l1_clvect_1,axiom,(
    ! [A] : 
      ( l1_clvect_1(A)
     => l1_rlvect_1(A) ) ),
    file(clvect_1,l1_clvect_1),
    []).

fof(dt_l1_rlvect_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => l2_struct_0(A) ) ),
    file(rlvect_1,l1_rlvect_1),
    []).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    []).

fof(dt_l2_clvect_1,axiom,(
    ! [A] : 
      ( l2_clvect_1(A)
     => l1_clvect_1(A) ) ),
    file(clvect_1,l2_clvect_1),
    []).

fof(dt_l2_struct_0,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => l1_struct_0(A) ) ),
    file(struct_0,l2_struct_0),
    []).

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

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

fof(dt_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
         => m1_subset_1(C,u1_struct_0(A)) ) ) ),
    file(struct_0,m1_struct_0),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

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

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),
    []).

fof(dt_u1_clvect_1,axiom,(
    ! [A] : 
      ( l1_clvect_1(A)
     => ( v1_funct_1(u1_clvect_1(A))
        & v1_funct_2(u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_clvect_1(A),k2_zfmisc_1(k2_numbers,u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(clvect_1,u1_clvect_1),
    []).

fof(dt_u1_rlvect_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( v1_funct_1(u1_rlvect_1(A))
        & v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(rlvect_1,u1_rlvect_1),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(dt_u2_struct_0,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => m1_subset_1(u2_struct_0(A),u1_struct_0(A)) ) ),
    file(struct_0,u2_struct_0),
    []).

fof(existence_l1_clvect_1,axiom,(
    ? [A] : l1_clvect_1(A) ),
    file(clvect_1,l1_clvect_1),
    []).

fof(existence_l1_rlvect_1,axiom,(
    ? [A] : l1_rlvect_1(A) ),
    file(rlvect_1,l1_rlvect_1),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_l2_clvect_1,axiom,(
    ? [A] : l2_clvect_1(A) ),
    file(clvect_1,l2_clvect_1),
    []).

fof(existence_l2_struct_0,axiom,(
    ? [A] : l2_struct_0(A) ),
    file(struct_0,l2_struct_0),
    []).

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

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

fof(existence_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ? [C] : m1_struct_0(C,A,B) ) ),
    file(struct_0,m1_struct_0),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

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

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

fof(fc1_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k3_clopban1(A,B))
        & v3_rlvect_1(k3_clopban1(A,B))
        & v4_rlvect_1(k3_clopban1(A,B))
        & v5_rlvect_1(k3_clopban1(A,B))
        & v6_rlvect_1(k3_clopban1(A,B))
        & v1_clvect_1(k3_clopban1(A,B))
        & v2_clvect_1(k3_clopban1(A,B)) ) ) ),
    file(clopban1,fc1_clopban1),
    []).

fof(fc1_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k5_relat_1(A,B))
        & v1_funct_1(k5_relat_1(A,B)) ) ) ),
    file(funct_1,fc1_funct_1),
    []).

fof(fc1_funct_2,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ~ v1_xboole_0(k1_funct_2(A,B)) ) ),
    file(funct_2,fc1_funct_2),
    []).

fof(fc1_membered,axiom,
    ( ~ v1_xboole_0(k2_numbers)
    & v1_membered(k2_numbers) ),
    file(membered,fc1_membered),
    []).

fof(fc1_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ) ),
    file(struct_0,fc1_struct_0),
    []).

fof(fc2_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k3_clopban1(A,B))
        & v3_rlvect_1(k3_clopban1(A,B))
        & v4_rlvect_1(k3_clopban1(A,B))
        & v5_rlvect_1(k3_clopban1(A,B))
        & v6_rlvect_1(k3_clopban1(A,B))
        & v1_clvect_1(k3_clopban1(A,B))
        & v2_clvect_1(k3_clopban1(A,B))
        & v1_monoid_0(k3_clopban1(A,B)) ) ) ),
    file(clopban1,fc2_clopban1),
    []).

fof(fc2_funct_1,axiom,(
    ! [A] : 
      ( v1_relat_1(k6_relat_1(A))
      & v1_funct_1(k6_relat_1(A)) ) ),
    file(funct_1,fc2_funct_1),
    []).

fof(fc2_funct_2,axiom,(
    ! [A] : ~ v1_xboole_0(k1_funct_2(A,A)) ),
    file(funct_2,fc2_funct_2),
    []).

fof(fc3_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v1_xboole_0(k5_clopban1(A,B))
        & v1_fraenkel(k5_clopban1(A,B)) ) ) ),
    file(clopban1,fc3_clopban1),
    []).

fof(fc4_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v3_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v4_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v5_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v6_rlvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v1_clvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B))))
        & v2_clvect_1(g1_clvect_1(k5_clopban1(A,B),k10_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k8_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)),k9_csspace(k3_clopban1(u1_struct_0(A),B),k5_clopban1(A,B)))) ) ) ),
    file(clopban1,fc4_clopban1),
    []).

fof(fc5_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k6_clopban1(A,B))
        & v3_rlvect_1(k6_clopban1(A,B))
        & v4_rlvect_1(k6_clopban1(A,B))
        & v5_rlvect_1(k6_clopban1(A,B))
        & v6_rlvect_1(k6_clopban1(A,B))
        & v1_clvect_1(k6_clopban1(A,B))
        & v2_clvect_1(k6_clopban1(A,B)) ) ) ),
    file(clopban1,fc5_clopban1),
    []).

fof(fc6_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ( ~ v3_struct_0(k6_clopban1(A,B))
        & v3_rlvect_1(k6_clopban1(A,B))
        & v4_rlvect_1(k6_clopban1(A,B))
        & v5_rlvect_1(k6_clopban1(A,B))
        & v6_rlvect_1(k6_clopban1(A,B))
        & v1_clvect_1(k6_clopban1(A,B))
        & v2_clvect_1(k6_clopban1(A,B))
        & v1_monoid_0(k6_clopban1(A,B)) ) ) ),
    file(clopban1,fc6_clopban1),
    []).

fof(fc6_membered,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_membered(k1_xboole_0)
    & v2_membered(k1_xboole_0)
    & v3_membered(k1_xboole_0)
    & v4_membered(k1_xboole_0)
    & v5_membered(k1_xboole_0) ),
    file(membered,fc6_membered),
    []).

fof(fc7_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ~ v1_xboole_0(k8_clopban1(A,B)) ) ),
    file(clopban1,fc7_clopban1),
    []).

fof(fc8_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ( ~ v3_struct_0(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v3_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v4_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v5_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v6_rlvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v1_clvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B))))
        & v2_clvect_1(g1_clvect_1(k8_clopban1(A,B),k10_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k8_csspace(k6_clopban1(A,B),k8_clopban1(A,B)),k9_csspace(k6_clopban1(A,B),k8_clopban1(A,B)))) ) ) ),
    file(clopban1,fc8_clopban1),
    []).

fof(free_g1_clvect_1,axiom,(
    ! [A,B,C,D] : 
      ( ( m1_subset_1(B,A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(k2_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k2_numbers,A),A) )
     => ! [E,F,G,H] : 
          ( g1_clvect_1(A,B,C,D) = g1_clvect_1(E,F,G,H)
         => ( A = E
            & B = F
            & C = G
            & D = H ) ) ) ),
    file(clvect_1,g1_clvect_1),
    []).

fof(rc1_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & l1_clvect_1(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_clopban1(C,A,B)
          & v2_clopban1(C,A,B) ) ) ),
    file(clopban1,rc1_clopban1),
    []).

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    []).

fof(rc1_funct_2,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C)
      & v1_funct_2(C,A,B) ) ),
    file(funct_2,rc1_funct_2),
    []).

fof(rc1_membered,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    []).

fof(rc1_nat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc1_nat_1),
    []).

fof(rc1_xcmplx_0,axiom,(
    ? [A] : v1_xcmplx_0(A) ),
    file(xcmplx_0,rc1_xcmplx_0),
    []).

fof(rc1_xreal_0,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    []).

fof(rc2_clopban1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v2_clvect_1(B)
        & v5_clvect_1(B)
        & l2_clvect_1(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_clopban1(C,A,B)
          & v2_clopban1(C,A,B)
          & v3_clopban1(C,A,B) ) ) ),
    file(clopban1,rc2_clopban1),
    []).

fof(rc2_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    []).

fof(rc2_xcmplx_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A) ) ),
    file(xcmplx_0,rc2_xcmplx_0),
    []).

fof(rc2_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc2_xreal_0),
    []).

fof(rc3_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    []).

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

fof(rc3_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & v3_xreal_0(A) ) ),
    file(xreal_0,rc3_xreal_0),
    []).

fof(rc4_struct_0,axiom,(
    ? [A] : 
      ( l2_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc4_struct_0),
    []).

fof(rc4_xreal_0,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    []).

fof(rc5_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(struct_0,rc5_struct_0),
    []).

fof(redefinition_k1_clopban2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
        & v1_clopban1(B,A,A)
        & v2_clopban1(B,A,A)
        & v3_clopban1(B,A,A)
        & m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A))
        & v1_clopban1(C,A,A)
        & v2_clopban1(C,A,A)
        & v3_clopban1(C,A,A)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(A)) )
     => k1_clopban2(A,B,C) = k5_relat_1(B,C) ) ),
    file(clopban2,k1_clopban2),
    []).

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

fof(redefinition_k6_partfun1,axiom,(
    ! [A] : k6_partfun1(A) = k6_relat_1(A) ),
    file(partfun1,k6_partfun1),
    []).

fof(redefinition_k7_funct_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m1_relset_1(D,A,B)
        & v1_funct_1(E)
        & v1_funct_2(E,B,C)
        & m1_relset_1(E,B,C) )
     => k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E) ) ),
    file(funct_2,k7_funct_2),
    []).

fof(redefinition_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(struct_0,m1_struct_0),
    []).

fof(redefinition_m2_fraenkel,axiom,(
    ! [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),
    []).

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

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

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

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

fof(t3_clopban2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ( v1_funct_1(k6_partfun1(u1_struct_0(A)))
        & v1_funct_2(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A))
        & v1_clopban1(k6_partfun1(u1_struct_0(A)),A,A)
        & v2_clopban1(k6_partfun1(u1_struct_0(A)),A,A)
        & v3_clopban1(k6_partfun1(u1_struct_0(A)),A,A)
        & m2_relset_1(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) ) ) ),
    file(clopban2,t3_clopban2),
    []).

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

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

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

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

fof(t6_clopban2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v2_clvect_1(A)
        & v5_clvect_1(A)
        & l2_clvect_1(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
            & v1_clopban1(B,A,A)
            & v2_clopban1(B,A,A)
            & v3_clopban1(B,A,A)
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_partfun1(u1_struct_0(A)),B) = B
            & k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,k6_partfun1(u1_struct_0(A))) = B ) ) ) ),
    file(clopban2,t6_clopban2),
    []).

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

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