% Mizar problem: t1_csspace2,csspace2,572,34 
fof(t1_csspace2,conjecture,
    ( u1_struct_0(k20_csspace) = k11_csspace
    & ! [A] : 
        ( m1_subset_1(A,u1_struct_0(k20_csspace))
      <=> ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & m2_relset_1(A,k5_numbers,k2_numbers)
          & v1_series_1(k11_seq_1(k9_comseq_1(k5_numbers,k2_csspace(A)),k9_comseq_1(k5_numbers,k2_csspace(A)))) ) )
    & ! [A] : 
        ( m1_subset_1(A,u1_struct_0(k20_csspace))
      <=> ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & m2_relset_1(A,k5_numbers,k2_numbers)
          & v2_comseq_3(k3_comseq_1(k5_numbers,k2_csspace(A),k1_comseq_2(k5_numbers,k2_csspace(A)))) ) )
    & k1_rlvect_1(k20_csspace) = k6_csspace
    & ! [A] : 
        ( m1_subset_1(A,u1_struct_0(k20_csspace))
       => A = k2_csspace(A) )
    & ! [A] : 
        ( m1_subset_1(A,u1_struct_0(k20_csspace))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(k20_csspace))
           => k4_rlvect_1(k20_csspace,A,B) = k2_comseq_1(k5_numbers,k2_csspace(A),k2_csspace(B)) ) )
    & ! [A] : 
        ( m1_subset_1(A,k2_numbers)
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(k20_csspace))
           => k1_clvect_1(k20_csspace,B,A) = k4_comseq_1(k5_numbers,k2_csspace(B),A) ) )
    & ! [A] : 
        ( m1_subset_1(A,u1_struct_0(k20_csspace))
       => ( k5_rlvect_1(k20_csspace,A) = k5_comseq_1(k5_numbers,k2_csspace(A))
          & k2_csspace(k5_rlvect_1(k20_csspace,A)) = k5_comseq_1(k5_numbers,k2_csspace(A)) ) )
    & ! [A] : 
        ( m1_subset_1(A,u1_struct_0(k20_csspace))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(k20_csspace))
           => k6_rlvect_1(k20_csspace,A,B) = k6_comseq_1(k5_numbers,k2_csspace(A),k2_csspace(B)) ) )
    & ! [A] : 
        ( m1_subset_1(A,u1_struct_0(k20_csspace))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(k20_csspace))
           => ( v1_series_1(k11_seq_1(k9_comseq_1(k5_numbers,k2_csspace(A)),k9_comseq_1(k5_numbers,k2_csspace(B))))
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(k20_csspace))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(k20_csspace))
                     => k12_csspace(k20_csspace,C,D) = k8_comseq_3(k3_comseq_1(k5_numbers,k2_csspace(C),k1_comseq_2(k5_numbers,k2_csspace(D)))) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,cc1_xreal_0,cc2_xreal_0,rc1_xreal_0,cc7_xreal_0,cc2_xcmplx_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_u1_clvect_1,dt_u1_csspace,dt_u1_rlvect_1,dt_u2_struct_0,cc1_membered,cc2_membered,cc3_membered,cc4_membered,rc1_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,fc6_membered,cc17_membered,cc18_membered,cc19_membered,cc20_membered,rc1_comseq_2,rc2_comseq_2,fc2_comseq_2,fc3_comseq_2,cc1_comseq_2,cc2_comseq_2,rc2_comseq_3,rc3_comseq_3,cc3_comseq_3,fc8_comseq_3,fc9_comseq_3,fc10_comseq_3,rc4_comseq_3,t1_subset,t4_subset,t5_subset,commutativity_k5_seq_1,abstractness_v1_csspace,existence_l1_clvect_1,existence_l1_csspace,existence_l1_rlvect_1,existence_l1_struct_0,existence_l2_struct_0,existence_m1_relset_1,dt_k1_csspace,dt_k1_numbers,dt_k1_zfmisc_1,dt_k2_rlvect_1,dt_k2_zfmisc_1,dt_k5_ordinal2,dt_k5_seq_1,dt_l1_clvect_1,dt_l1_csspace,dt_l1_rlvect_1,dt_l1_struct_0,dt_l2_struct_0,dt_m1_relset_1,cc1_relset_1,rc3_struct_0,rc4_struct_0,fc1_struct_0,rc5_struct_0,cc5_membered,cc6_membered,cc9_membered,fc2_membered,fc5_membered,cc10_membered,cc15_membered,cc16_membered,fc1_ordinal2,fc1_subset_1,rc1_subset_1,fc4_subset_1,rc2_subset_1,fc1_comseq_1,fc2_comseq_1,fc3_comseq_1,fc4_comseq_1,fc5_comseq_1,fc6_comseq_1,fc1_comseq_2,cc1_comseq_3,fc5_comseq_3,cc4_comseq_3,rc1_csspace,rc2_csspace,fc2_csspace,rc1_xcmplx_0,rc2_xcmplx_0,cc1_xcmplx_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,free_g1_csspace,commutativity_k11_seq_1,commutativity_k2_comseq_1,commutativity_k3_comseq_1,commutativity_k4_rlvect_1,existence_m1_subset_1,existence_m2_relset_1,redefinition_k11_seq_1,redefinition_k4_rlvect_1,redefinition_k5_numbers,redefinition_m2_relset_1,dt_g1_csspace,dt_k10_csspace,dt_k11_csspace,dt_k11_seq_1,dt_k12_csspace,dt_k19_csspace,dt_k1_clvect_1,dt_k1_comseq_2,dt_k1_rlvect_1,dt_k20_csspace,dt_k2_comseq_1,dt_k2_csspace,dt_k2_numbers,dt_k3_comseq_1,dt_k4_comseq_1,dt_k4_rlvect_1,dt_k5_comseq_1,dt_k5_numbers,dt_k5_rlvect_1,dt_k6_comseq_1,dt_k6_csspace,dt_k6_rlvect_1,dt_k7_csspace,dt_k8_comseq_3,dt_k8_csspace,dt_k9_comseq_1,dt_k9_csspace,dt_m1_subset_1,dt_m2_relset_1,dt_u1_struct_0,fc1_membered,cc1_complex1,fc3_csspace,fc4_csspace,l10_csspace2,l11_csspace2,l12_csspace2,l13_csspace2,l14_csspace2,l15_csspace2,l16_csspace2,l17_csspace2,l18_csspace2,l20_csspace2,d20_csspace]),
    [file(csspace2,t1_csspace2)]).

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

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

fof(rc1_xreal_0,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_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(cc2_xcmplx_0,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xcmplx_0(A) ) ),
    file(xcmplx_0,cc2_xcmplx_0),
    []).

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

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

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

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_csspace,axiom,(
    ! [A] : 
      ( l1_csspace(A)
     => ( v1_funct_1(u1_csspace(A))
        & v1_funct_2(u1_csspace(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_numbers)
        & m2_relset_1(u1_csspace(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_numbers) ) ) ),
    file(csspace,u1_csspace),
    []).

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

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

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

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

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(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(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(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(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(rc1_comseq_2,axiom,(
    ? [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
      & ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_funct_2(A,k5_numbers,k2_numbers)
      & v1_partfun1(A,k5_numbers,k2_numbers)
      & v1_comseq_2(A) ) ),
    file(comseq_2,rc1_comseq_2),
    []).

fof(rc2_comseq_2,axiom,(
    ? [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
      & ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_funct_2(A,k5_numbers,k2_numbers)
      & v1_partfun1(A,k5_numbers,k2_numbers)
      & v2_comseq_2(A) ) ),
    file(comseq_2,rc2_comseq_2),
    []).

fof(fc2_comseq_2,axiom,(
    ! [A] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & v2_comseq_2(A)
        & m1_relset_1(A,k5_numbers,k2_numbers) )
     => ( ~ v1_xboole_0(k9_comseq_1(k5_numbers,A))
        & v1_relat_1(k9_comseq_1(k5_numbers,A))
        & v1_funct_1(k9_comseq_1(k5_numbers,A))
        & v1_funct_2(k9_comseq_1(k5_numbers,A),k5_numbers,k1_numbers)
        & v4_seq_2(k9_comseq_1(k5_numbers,A))
        & v1_partfun1(k9_comseq_1(k5_numbers,A),k5_numbers,k1_numbers) ) ) ),
    file(comseq_2,fc2_comseq_2),
    []).

fof(fc3_comseq_2,axiom,(
    ! [A] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & v2_comseq_2(A)
        & m1_relset_1(A,k5_numbers,k2_numbers) )
     => ( ~ v1_xboole_0(k1_comseq_2(k5_numbers,A))
        & v1_relat_1(k1_comseq_2(k5_numbers,A))
        & v1_funct_1(k1_comseq_2(k5_numbers,A))
        & v1_funct_2(k1_comseq_2(k5_numbers,A),k5_numbers,k2_numbers)
        & v1_partfun1(k1_comseq_2(k5_numbers,A),k5_numbers,k2_numbers)
        & v2_comseq_2(k1_comseq_2(k5_numbers,A)) ) ) ),
    file(comseq_2,fc3_comseq_2),
    []).

fof(cc1_comseq_2,axiom,(
    ! [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
     => ( ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & v2_comseq_2(A) )
       => ( ~ v1_xboole_0(A)
          & v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & v1_partfun1(A,k5_numbers,k2_numbers)
          & v1_comseq_2(A) ) ) ) ),
    file(comseq_2,cc1_comseq_2),
    []).

fof(cc2_comseq_2,axiom,(
    ! [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
     => ( ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & ~ v1_comseq_2(A) )
       => ( ~ v1_xboole_0(A)
          & v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & v1_partfun1(A,k5_numbers,k2_numbers)
          & ~ v2_comseq_2(A) ) ) ) ),
    file(comseq_2,cc2_comseq_2),
    []).

fof(rc2_comseq_3,axiom,(
    ? [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_funct_2(A,k5_numbers,k2_numbers)
      & v1_comseq_3(A) ) ),
    file(comseq_3,rc2_comseq_3),
    []).

fof(rc3_comseq_3,axiom,(
    ? [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_funct_2(A,k5_numbers,k2_numbers)
      & v2_comseq_3(A) ) ),
    file(comseq_3,rc3_comseq_3),
    []).

fof(cc3_comseq_3,axiom,(
    ! [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
     => ( ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & v1_comseq_3(A) )
       => ( ~ v1_xboole_0(A)
          & v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & v1_comseq_2(A)
          & v2_comseq_2(A)
          & v1_partfun1(A,k5_numbers,k2_numbers) ) ) ) ),
    file(comseq_3,cc3_comseq_3),
    []).

fof(fc8_comseq_3,axiom,(
    ! [A,B] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & v1_comseq_3(A)
        & m1_relset_1(A,k5_numbers,k2_numbers)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,k2_numbers)
        & v1_comseq_3(B)
        & m1_relset_1(B,k5_numbers,k2_numbers) )
     => ( ~ v1_xboole_0(k2_comseq_1(k5_numbers,A,B))
        & v1_relat_1(k2_comseq_1(k5_numbers,A,B))
        & v1_funct_1(k2_comseq_1(k5_numbers,A,B))
        & v1_funct_2(k2_comseq_1(k5_numbers,A,B),k5_numbers,k2_numbers)
        & v1_comseq_2(k2_comseq_1(k5_numbers,A,B))
        & v2_comseq_2(k2_comseq_1(k5_numbers,A,B))
        & v1_partfun1(k2_comseq_1(k5_numbers,A,B),k5_numbers,k2_numbers)
        & v1_comseq_3(k2_comseq_1(k5_numbers,A,B)) ) ) ),
    file(comseq_3,fc8_comseq_3),
    []).

fof(fc9_comseq_3,axiom,(
    ! [A,B] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & v1_comseq_3(A)
        & m1_relset_1(A,k5_numbers,k2_numbers)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,k2_numbers)
        & v1_comseq_3(B)
        & m1_relset_1(B,k5_numbers,k2_numbers) )
     => ( ~ v1_xboole_0(k6_comseq_1(k5_numbers,A,B))
        & v1_relat_1(k6_comseq_1(k5_numbers,A,B))
        & v1_funct_1(k6_comseq_1(k5_numbers,A,B))
        & v1_funct_2(k6_comseq_1(k5_numbers,A,B),k5_numbers,k2_numbers)
        & v1_comseq_2(k6_comseq_1(k5_numbers,A,B))
        & v2_comseq_2(k6_comseq_1(k5_numbers,A,B))
        & v1_partfun1(k6_comseq_1(k5_numbers,A,B),k5_numbers,k2_numbers)
        & v1_comseq_3(k6_comseq_1(k5_numbers,A,B)) ) ) ),
    file(comseq_3,fc9_comseq_3),
    []).

fof(fc10_comseq_3,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k2_numbers)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,k2_numbers)
        & v1_comseq_3(B)
        & m1_relset_1(B,k5_numbers,k2_numbers) )
     => ( ~ v1_xboole_0(k4_comseq_1(k5_numbers,B,A))
        & v1_relat_1(k4_comseq_1(k5_numbers,B,A))
        & v1_funct_1(k4_comseq_1(k5_numbers,B,A))
        & v1_funct_2(k4_comseq_1(k5_numbers,B,A),k5_numbers,k2_numbers)
        & v1_comseq_2(k4_comseq_1(k5_numbers,B,A))
        & v2_comseq_2(k4_comseq_1(k5_numbers,B,A))
        & v1_partfun1(k4_comseq_1(k5_numbers,B,A),k5_numbers,k2_numbers)
        & v1_comseq_3(k4_comseq_1(k5_numbers,B,A)) ) ) ),
    file(comseq_3,fc10_comseq_3),
    []).

fof(rc4_comseq_3,axiom,(
    ? [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
      & ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_funct_2(A,k5_numbers,k2_numbers)
      & v1_comseq_2(A)
      & v2_comseq_2(A)
      & v1_partfun1(A,k5_numbers,k2_numbers)
      & v1_comseq_3(A)
      & v2_comseq_3(A) ) ),
    file(comseq_3,rc4_comseq_3),
    []).

fof(t1_subset,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_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(commutativity_k5_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_seq_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_seq_1(B) )
     => k5_seq_1(A,B) = k5_seq_1(B,A) ) ),
    file(seq_1,k5_seq_1),
    []).

fof(abstractness_v1_csspace,axiom,(
    ! [A] : 
      ( l1_csspace(A)
     => ( v1_csspace(A)
       => A = g1_csspace(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u1_clvect_1(A),u1_csspace(A)) ) ) ),
    file(csspace,v1_csspace),
    []).

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

fof(existence_l1_csspace,axiom,(
    ? [A] : l1_csspace(A) ),
    file(csspace,l1_csspace),
    []).

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_struct_0,axiom,(
    ? [A] : l2_struct_0(A) ),
    file(struct_0,l2_struct_0),
    []).

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

fof(dt_k1_csspace,axiom,(
    ~ v1_xboole_0(k1_csspace) ),
    file(csspace,k1_csspace),
    []).

fof(dt_k1_numbers,axiom,(
    $true ),
    file(numbers,k1_numbers),
    []).

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

fof(dt_k2_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k2_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k2_rlvect_1),
    []).

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

fof(dt_k5_ordinal2,axiom,(
    $true ),
    file(ordinal2,k5_ordinal2),
    []).

fof(dt_k5_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_seq_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_seq_1(B) )
     => ( v1_relat_1(k5_seq_1(A,B))
        & v1_funct_1(k5_seq_1(A,B)) ) ) ),
    file(seq_1,k5_seq_1),
    []).

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

fof(dt_l1_csspace,axiom,(
    ! [A] : 
      ( l1_csspace(A)
     => l1_clvect_1(A) ) ),
    file(csspace,l1_csspace),
    []).

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_struct_0,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => l1_struct_0(A) ) ),
    file(struct_0,l2_struct_0),
    []).

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

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

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

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

fof(cc6_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
     => ( v1_membered(A)
        & v2_membered(A) ) ) ),
    file(membered,cc6_membered),
    []).

fof(cc9_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k5_numbers))
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc9_membered),
    []).

fof(fc2_membered,axiom,
    ( ~ v1_xboole_0(k1_numbers)
    & v1_membered(k1_numbers)
    & v2_membered(k1_numbers) ),
    file(membered,fc2_membered),
    []).

fof(fc5_membered,axiom,
    ( v1_membered(k5_ordinal2)
    & v2_membered(k5_ordinal2)
    & v3_membered(k5_ordinal2)
    & v4_membered(k5_ordinal2)
    & v5_membered(k5_ordinal2) ),
    file(membered,fc5_membered),
    []).

fof(cc10_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_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(fc1_ordinal2,axiom,
    ( v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & ~ v1_xboole_0(k5_ordinal2) ),
    file(ordinal2,fc1_ordinal2),
    []).

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

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

fof(fc4_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ v1_xboole_0(k2_zfmisc_1(A,B)) ) ),
    file(subset_1,fc4_subset_1),
    []).

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

fof(fc1_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k2_numbers)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & v1_funct_2(C,A,k2_numbers)
        & m1_relset_1(C,A,k2_numbers) )
     => ( ~ v1_xboole_0(k2_comseq_1(A,B,C))
        & v1_relat_1(k2_comseq_1(A,B,C))
        & v1_funct_1(k2_comseq_1(A,B,C))
        & v1_funct_2(k2_comseq_1(A,B,C),A,k2_numbers)
        & v1_partfun1(k2_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,fc1_comseq_1),
    []).

fof(fc2_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k2_numbers)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & v1_funct_2(C,A,k2_numbers)
        & m1_relset_1(C,A,k2_numbers) )
     => ( ~ v1_xboole_0(k3_comseq_1(A,B,C))
        & v1_relat_1(k3_comseq_1(A,B,C))
        & v1_funct_1(k3_comseq_1(A,B,C))
        & v1_funct_2(k3_comseq_1(A,B,C),A,k2_numbers)
        & v1_partfun1(k3_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,fc2_comseq_1),
    []).

fof(fc3_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k2_numbers)
        & m1_relset_1(B,A,k2_numbers)
        & v1_xcmplx_0(C) )
     => ( ~ v1_xboole_0(k4_comseq_1(A,B,C))
        & v1_relat_1(k4_comseq_1(A,B,C))
        & v1_funct_1(k4_comseq_1(A,B,C))
        & v1_funct_2(k4_comseq_1(A,B,C),A,k2_numbers)
        & v1_partfun1(k4_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,fc3_comseq_1),
    []).

fof(fc4_comseq_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k2_numbers)
        & m1_relset_1(B,A,k2_numbers) )
     => ( ~ v1_xboole_0(k5_comseq_1(A,B))
        & v1_relat_1(k5_comseq_1(A,B))
        & v1_funct_1(k5_comseq_1(A,B))
        & v1_funct_2(k5_comseq_1(A,B),A,k2_numbers)
        & v1_partfun1(k5_comseq_1(A,B),A,k2_numbers) ) ) ),
    file(comseq_1,fc4_comseq_1),
    []).

fof(fc5_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k2_numbers)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & v1_funct_2(C,A,k2_numbers)
        & m1_relset_1(C,A,k2_numbers) )
     => ( ~ v1_xboole_0(k6_comseq_1(A,B,C))
        & v1_relat_1(k6_comseq_1(A,B,C))
        & v1_funct_1(k6_comseq_1(A,B,C))
        & v1_funct_2(k6_comseq_1(A,B,C),A,k2_numbers)
        & v1_partfun1(k6_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,fc5_comseq_1),
    []).

fof(fc6_comseq_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k2_numbers)
        & m1_relset_1(B,A,k2_numbers) )
     => ( ~ v1_xboole_0(k9_comseq_1(A,B))
        & v1_relat_1(k9_comseq_1(A,B))
        & v1_funct_1(k9_comseq_1(A,B))
        & v1_funct_2(k9_comseq_1(A,B),A,k1_numbers)
        & v1_partfun1(k9_comseq_1(A,B),A,k1_numbers) ) ) ),
    file(comseq_1,fc6_comseq_1),
    []).

fof(fc1_comseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v1_funct_2(B,A,k2_numbers)
        & m1_relset_1(B,A,k2_numbers) )
     => ( ~ v1_xboole_0(k1_comseq_2(A,B))
        & v1_relat_1(k1_comseq_2(A,B))
        & v1_funct_1(k1_comseq_2(A,B))
        & v1_funct_2(k1_comseq_2(A,B),A,k2_numbers)
        & v1_partfun1(k1_comseq_2(A,B),A,k2_numbers) ) ) ),
    file(comseq_2,fc1_comseq_2),
    []).

fof(cc1_comseq_3,axiom,(
    ! [A] : 
      ( m1_relset_1(A,k5_numbers,k1_numbers)
     => ( ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k1_numbers)
          & v1_series_1(A) )
       => ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k1_numbers)
          & v1_seq_1(A)
          & v4_seq_2(A) ) ) ) ),
    file(comseq_3,cc1_comseq_3),
    []).

fof(fc5_comseq_3,axiom,(
    ! [A] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & v2_comseq_3(A)
        & m1_relset_1(A,k5_numbers,k2_numbers) )
     => ( ~ v1_xboole_0(k9_comseq_1(k5_numbers,A))
        & v1_relat_1(k9_comseq_1(k5_numbers,A))
        & v1_funct_1(k9_comseq_1(k5_numbers,A))
        & v1_funct_2(k9_comseq_1(k5_numbers,A),k5_numbers,k1_numbers)
        & v1_seq_1(k9_comseq_1(k5_numbers,A))
        & v4_seq_2(k9_comseq_1(k5_numbers,A))
        & v1_series_1(k9_comseq_1(k5_numbers,A))
        & v1_partfun1(k9_comseq_1(k5_numbers,A),k5_numbers,k1_numbers) ) ) ),
    file(comseq_3,fc5_comseq_3),
    []).

fof(cc4_comseq_3,axiom,(
    ! [A] : 
      ( m1_relset_1(A,k5_numbers,k2_numbers)
     => ( ( v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & v2_comseq_3(A) )
       => ( ~ v1_xboole_0(A)
          & v1_funct_1(A)
          & v1_funct_2(A,k5_numbers,k2_numbers)
          & v1_comseq_2(A)
          & v2_comseq_2(A)
          & v1_partfun1(A,k5_numbers,k2_numbers)
          & v1_comseq_3(A) ) ) ) ),
    file(comseq_3,cc4_comseq_3),
    []).

fof(rc1_csspace,axiom,(
    ? [A] : 
      ( l1_csspace(A)
      & v1_csspace(A) ) ),
    file(csspace,rc1_csspace),
    []).

fof(rc2_csspace,axiom,(
    ? [A] : 
      ( l1_csspace(A)
      & ~ v3_struct_0(A)
      & v1_csspace(A) ) ),
    file(csspace,rc2_csspace),
    []).

fof(fc2_csspace,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & 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_funct_1(E)
        & v1_funct_2(E,k2_zfmisc_1(A,A),k2_numbers)
        & m1_relset_1(E,k2_zfmisc_1(A,A),k2_numbers) )
     => ( ~ v3_struct_0(g1_csspace(A,B,C,D,E))
        & v1_csspace(g1_csspace(A,B,C,D,E)) ) ) ),
    file(csspace,fc2_csspace),
    []).

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

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

fof(cc1_xcmplx_0,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => v1_xcmplx_0(A) ) ),
    file(xcmplx_0,cc1_xcmplx_0),
    []).

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

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

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),
    []).

fof(free_g1_csspace,axiom,(
    ! [A,B,C,D,E] : 
      ( ( 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_funct_1(E)
        & v1_funct_2(E,k2_zfmisc_1(A,A),k2_numbers)
        & m1_relset_1(E,k2_zfmisc_1(A,A),k2_numbers) )
     => ! [F,G,H,I,J] : 
          ( g1_csspace(A,B,C,D,E) = g1_csspace(F,G,H,I,J)
         => ( A = F
            & B = G
            & C = H
            & D = I
            & E = J ) ) ) ),
    file(csspace,g1_csspace),
    []).

fof(commutativity_k11_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k1_numbers)
        & m1_relset_1(A,k5_numbers,k1_numbers)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,k1_numbers)
        & m1_relset_1(B,k5_numbers,k1_numbers) )
     => k11_seq_1(A,B) = k11_seq_1(B,A) ) ),
    file(seq_1,k11_seq_1),
    []).

fof(commutativity_k2_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & m1_relset_1(C,A,k2_numbers) )
     => k2_comseq_1(A,B,C) = k2_comseq_1(A,C,B) ) ),
    file(comseq_1,k2_comseq_1),
    []).

fof(commutativity_k3_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & m1_relset_1(C,A,k2_numbers) )
     => k3_comseq_1(A,B,C) = k3_comseq_1(A,C,B) ) ),
    file(comseq_1,k3_comseq_1),
    []).

fof(commutativity_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_rlvect_1(A,B,C) = k4_rlvect_1(A,C,B) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

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

fof(redefinition_k11_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k1_numbers)
        & m1_relset_1(A,k5_numbers,k1_numbers)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,k1_numbers)
        & m1_relset_1(B,k5_numbers,k1_numbers) )
     => k11_seq_1(A,B) = k5_seq_1(A,B) ) ),
    file(seq_1,k11_seq_1),
    []).

fof(redefinition_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_rlvect_1(A,B,C) = k2_rlvect_1(A,B,C) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

fof(redefinition_k5_numbers,axiom,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    []).

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(dt_g1_csspace,axiom,(
    ! [A,B,C,D,E] : 
      ( ( 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_funct_1(E)
        & v1_funct_2(E,k2_zfmisc_1(A,A),k2_numbers)
        & m1_relset_1(E,k2_zfmisc_1(A,A),k2_numbers) )
     => ( v1_csspace(g1_csspace(A,B,C,D,E))
        & l1_csspace(g1_csspace(A,B,C,D,E)) ) ) ),
    file(csspace,g1_csspace),
    []).

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_csspace,axiom,(
    m1_subset_1(k11_csspace,k1_zfmisc_1(u1_struct_0(k7_csspace))) ),
    file(csspace,k11_csspace),
    []).

fof(dt_k11_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k1_numbers)
        & m1_relset_1(A,k5_numbers,k1_numbers)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,k1_numbers)
        & m1_relset_1(B,k5_numbers,k1_numbers) )
     => ( v1_funct_1(k11_seq_1(A,B))
        & v1_funct_2(k11_seq_1(A,B),k5_numbers,k1_numbers)
        & m2_relset_1(k11_seq_1(A,B),k5_numbers,k1_numbers) ) ) ),
    file(seq_1,k11_seq_1),
    []).

fof(dt_k12_csspace,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_csspace(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k12_csspace(A,B,C),k2_numbers) ) ),
    file(csspace,k12_csspace),
    []).

fof(dt_k19_csspace,axiom,
    ( v1_funct_1(k19_csspace)
    & v1_funct_2(k19_csspace,k2_zfmisc_1(k11_csspace,k11_csspace),k2_numbers)
    & m2_relset_1(k19_csspace,k2_zfmisc_1(k11_csspace,k11_csspace),k2_numbers) ),
    file(csspace,k19_csspace),
    []).

fof(dt_k1_clvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_clvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,k2_numbers) )
     => m1_subset_1(k1_clvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(clvect_1,k1_clvect_1),
    []).

fof(dt_k1_comseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers) )
     => ( v1_funct_1(k1_comseq_2(A,B))
        & m2_relset_1(k1_comseq_2(A,B),A,k2_numbers) ) ) ),
    file(comseq_2,k1_comseq_2),
    []).

fof(dt_k1_rlvect_1,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ) ),
    file(rlvect_1,k1_rlvect_1),
    []).

fof(dt_k20_csspace,axiom,
    ( ~ v3_struct_0(k20_csspace)
    & l1_csspace(k20_csspace) ),
    file(csspace,k20_csspace),
    []).

fof(dt_k2_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & m1_relset_1(C,A,k2_numbers) )
     => ( v1_funct_1(k2_comseq_1(A,B,C))
        & m2_relset_1(k2_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,k2_comseq_1),
    []).

fof(dt_k2_csspace,axiom,(
    ! [A] : 
      ( v1_funct_1(k2_csspace(A))
      & v1_funct_2(k2_csspace(A),k5_numbers,k2_numbers)
      & m2_relset_1(k2_csspace(A),k5_numbers,k2_numbers) ) ),
    file(csspace,k2_csspace),
    []).

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

fof(dt_k3_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & m1_relset_1(C,A,k2_numbers) )
     => ( v1_funct_1(k3_comseq_1(A,B,C))
        & m2_relset_1(k3_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,k3_comseq_1),
    []).

fof(dt_k4_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers)
        & v1_xcmplx_0(C) )
     => ( v1_funct_1(k4_comseq_1(A,B,C))
        & m2_relset_1(k4_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,k4_comseq_1),
    []).

fof(dt_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k4_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

fof(dt_k5_comseq_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers) )
     => ( v1_funct_1(k5_comseq_1(A,B))
        & m2_relset_1(k5_comseq_1(A,B),A,k2_numbers) ) ) ),
    file(comseq_1,k5_comseq_1),
    []).

fof(dt_k5_numbers,axiom,(
    m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
    file(numbers,k5_numbers),
    []).

fof(dt_k5_rlvect_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k5_rlvect_1(A,B),u1_struct_0(A)) ) ),
    file(rlvect_1,k5_rlvect_1),
    []).

fof(dt_k6_comseq_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers)
        & v1_funct_1(C)
        & m1_relset_1(C,A,k2_numbers) )
     => ( v1_funct_1(k6_comseq_1(A,B,C))
        & m2_relset_1(k6_comseq_1(A,B,C),A,k2_numbers) ) ) ),
    file(comseq_1,k6_comseq_1),
    []).

fof(dt_k6_csspace,axiom,(
    m1_subset_1(k6_csspace,k1_csspace) ),
    file(csspace,k6_csspace),
    []).

fof(dt_k6_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k6_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k6_rlvect_1),
    []).

fof(dt_k7_csspace,axiom,
    ( ~ v3_struct_0(k7_csspace)
    & v3_rlvect_1(k7_csspace)
    & v4_rlvect_1(k7_csspace)
    & v5_rlvect_1(k7_csspace)
    & v6_rlvect_1(k7_csspace)
    & v2_clvect_1(k7_csspace)
    & l1_clvect_1(k7_csspace) ),
    file(csspace,k7_csspace),
    []).

fof(dt_k8_comseq_3,axiom,(
    ! [A] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & m1_relset_1(A,k5_numbers,k2_numbers) )
     => m1_subset_1(k8_comseq_3(A),k2_numbers) ) ),
    file(comseq_3,k8_comseq_3),
    []).

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_comseq_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & m1_relset_1(B,A,k2_numbers) )
     => ( v1_funct_1(k9_comseq_1(A,B))
        & m2_relset_1(k9_comseq_1(A,B),A,k1_numbers) ) ) ),
    file(comseq_1,k9_comseq_1),
    []).

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_m1_subset_1,axiom,(
    $true ),
    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),
    []).

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

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

fof(cc1_complex1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k2_numbers)
     => v1_xcmplx_0(A) ) ),
    file(complex1,cc1_complex1),
    []).

fof(fc3_csspace,axiom,
    ( ~ v3_struct_0(g1_csspace(k11_csspace,k10_csspace(k7_csspace,k11_csspace),k8_csspace(k7_csspace,k11_csspace),k9_csspace(k7_csspace,k11_csspace),k19_csspace))
    & v1_csspace(g1_csspace(k11_csspace,k10_csspace(k7_csspace,k11_csspace),k8_csspace(k7_csspace,k11_csspace),k9_csspace(k7_csspace,k11_csspace),k19_csspace)) ),
    file(csspace,fc3_csspace),
    []).

fof(fc4_csspace,axiom,
    ( ~ v3_struct_0(k20_csspace)
    & v3_rlvect_1(k20_csspace)
    & v4_rlvect_1(k20_csspace)
    & v5_rlvect_1(k20_csspace)
    & v6_rlvect_1(k20_csspace)
    & v2_clvect_1(k20_csspace) ),
    file(csspace,fc4_csspace),
    []).

fof(l10_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
    <=> ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & m2_relset_1(A,k5_numbers,k2_numbers)
        & v1_series_1(k11_seq_1(k9_comseq_1(k5_numbers,k2_csspace(A)),k9_comseq_1(k5_numbers,k2_csspace(A)))) ) ) ),
    file(csspace2,l10_csspace2),
    []).

fof(l11_csspace2,axiom,(
    k1_rlvect_1(k20_csspace) = k6_csspace ),
    file(csspace2,l11_csspace2),
    []).

fof(l12_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
     => A = k2_csspace(A) ) ),
    file(csspace2,l12_csspace2),
    []).

fof(l13_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k20_csspace))
         => k4_rlvect_1(k20_csspace,A,B) = k2_comseq_1(k5_numbers,k2_csspace(A),k2_csspace(B)) ) ) ),
    file(csspace2,l13_csspace2),
    []).

fof(l14_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k2_numbers)
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k20_csspace))
         => k1_clvect_1(k20_csspace,B,A) = k4_comseq_1(k5_numbers,k2_csspace(B),A) ) ) ),
    file(csspace2,l14_csspace2),
    []).

fof(l15_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
     => ( k5_rlvect_1(k20_csspace,A) = k5_comseq_1(k5_numbers,k2_csspace(A))
        & k2_csspace(k5_rlvect_1(k20_csspace,A)) = k5_comseq_1(k5_numbers,k2_csspace(A)) ) ) ),
    file(csspace2,l15_csspace2),
    []).

fof(l16_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k20_csspace))
         => k6_rlvect_1(k20_csspace,A,B) = k6_comseq_1(k5_numbers,k2_csspace(A),k2_csspace(B)) ) ) ),
    file(csspace2,l16_csspace2),
    []).

fof(l17_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k20_csspace))
         => v1_series_1(k11_seq_1(k9_comseq_1(k5_numbers,k2_csspace(A)),k9_comseq_1(k5_numbers,k2_csspace(B)))) ) ) ),
    file(csspace2,l17_csspace2),
    []).

fof(l18_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k20_csspace))
         => k12_csspace(k20_csspace,A,B) = k8_comseq_3(k3_comseq_1(k5_numbers,k2_csspace(A),k1_comseq_2(k5_numbers,k2_csspace(B)))) ) ) ),
    file(csspace2,l18_csspace2),
    []).

fof(l20_csspace2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(k20_csspace))
    <=> ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k2_numbers)
        & m2_relset_1(A,k5_numbers,k2_numbers)
        & v2_comseq_3(k3_comseq_1(k5_numbers,k2_csspace(A),k1_comseq_2(k5_numbers,k2_csspace(A)))) ) ) ),
    file(csspace2,l20_csspace2),
    []).

fof(d20_csspace,axiom,(
    k20_csspace = g1_csspace(k11_csspace,k10_csspace(k7_csspace,k11_csspace),k8_csspace(k7_csspace,k11_csspace),k9_csspace(k7_csspace,k11_csspace),k19_csspace) ),
    file(csspace,d20_csspace),
    []).