% Mizar problem: t13_ndiff_2,ndiff_2,1398,38 
fof(t13_ndiff_2,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & ~ v3_realset2(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( ( ~ v3_struct_0(D)
                    & v3_rlvect_1(D)
                    & v4_rlvect_1(D)
                    & v5_rlvect_1(D)
                    & v6_rlvect_1(D)
                    & v7_rlvect_1(D)
                    & v2_normsp_1(D)
                    & ~ v3_realset2(D)
                    & l1_normsp_1(D) )
                 => ! [E] : 
                      ( ( v1_funct_1(E)
                        & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
                     => ( r1_ndiff_1(A,B,E,C)
                       => ! [F] : 
                            ( ( v1_funct_1(F)
                              & m2_relset_1(F,u1_struct_0(B),u1_struct_0(D)) )
                           => ( r1_ndiff_1(B,D,F,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),E,C))
                             => ( r1_ndiff_1(A,D,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(D),E,F),C)
                                & k3_ndiff_1(A,D,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(D),E,F),C) = k2_ndiff_2(A,B,D,k3_ndiff_1(A,B,E,C),k3_ndiff_1(B,D,F,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),E,C))) ) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_normsp_1,abstractness_v2_rlvect_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_membered,cc1_relset_1,cc1_xreal_0,cc20_membered,cc2_lopban_1,cc2_membered,cc2_xreal_0,cc3_membered,cc3_xreal_0,cc4_membered,cc4_xreal_0,cc5_xreal_0,cc6_membered,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,cc9_membered,commutativity_k2_tarski,commutativity_k3_xboole_0,commutativity_k4_rlvect_1,commutativity_k5_subset_1,d11_rlvect_1,d12_funct_1,d12_lopban_1,d15_lopban_1,d1_funct_2,d1_vfunct_1,d2_ndiff_2,d2_rlvect_1,d3_rlvect_1,d3_tarski,d4_finseq_4,d4_partfun1,d5_lopban_1,d5_ndiff_1,d5_tarski,d6_ndiff_1,d6_rlvect_1,d7_ndiff_1,dt_g1_normsp_1,dt_g2_rlvect_1,dt_k10_lopban_1,dt_k10_relset_1,dt_k10_rsspace,dt_k13_lopban_1,dt_k15_lopban_1,dt_k16_lopban_1,dt_k17_lopban_1,dt_k18_seq_1,dt_k1_domain_1,dt_k1_funct_1,dt_k1_ndiff_1,dt_k1_numbers,dt_k1_partfun1,dt_k1_relat_1,dt_k1_rlvect_1,dt_k1_tarski,dt_k1_vfunct_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_ndiff_2,dt_k2_relat_1,dt_k2_rlvect_1,dt_k2_tarski,dt_k2_vfunct_1,dt_k2_zfmisc_1,dt_k3_ndiff_1,dt_k3_nfcont_1,dt_k3_xboole_0,dt_k4_finseq_4,dt_k4_relset_1,dt_k4_rlvect_1,dt_k4_tarski,dt_k5_numbers,dt_k5_ordinal2,dt_k5_relat_1,dt_k5_relset_1,dt_k5_rlvect_1,dt_k5_subset_1,dt_k6_rlvect_1,dt_k7_funct_2,dt_k7_normsp_1,dt_k8_funct_2,dt_k8_lopban_1,dt_k8_normsp_1,dt_k8_rsspace,dt_k9_relat_1,dt_k9_rsspace,dt_l1_normsp_1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l2_rlvect_1,dt_l2_struct_0,dt_m1_nfcont_1,dt_m1_relset_1,dt_m1_struct_0,dt_m1_subset_1,dt_m2_relset_1,dt_u1_normsp_1,dt_u1_rlvect_1,dt_u1_struct_0,dt_u2_rlvect_1,dt_u2_struct_0,existence_l1_normsp_1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l2_rlvect_1,existence_l2_struct_0,existence_m1_nfcont_1,existence_m1_relset_1,existence_m1_struct_0,existence_m1_subset_1,existence_m2_relset_1,fc10_lopban_1,fc10_membered,fc11_membered,fc12_membered,fc13_membered,fc14_membered,fc15_membered,fc16_membered,fc1_ordinal2,fc1_struct_0,fc27_membered,fc28_membered,fc29_membered,fc2_membered,fc30_membered,fc31_membered,fc32_membered,fc33_membered,fc34_membered,fc35_membered,fc36_membered,fc5_lopban_1,fc5_membered,fc6_lopban_1,fc6_membered,fc7_lopban_1,fc7_membered,fc8_lopban_1,fc8_membered,fc9_membered,free_g1_normsp_1,free_g2_rlvect_1,idempotence_k3_xboole_0,idempotence_k5_subset_1,rc1_lopban_1,rc1_membered,rc1_ndiff_1,rc1_xreal_0,rc2_lopban_1,rc2_xreal_0,rc3_ndiff_1,rc3_struct_0,rc3_xreal_0,rc4_struct_0,rc4_xreal_0,rc5_struct_0,redefinition_k10_relset_1,redefinition_k17_lopban_1,redefinition_k1_domain_1,redefinition_k1_partfun1,redefinition_k4_relset_1,redefinition_k4_rlvect_1,redefinition_k5_numbers,redefinition_k5_relset_1,redefinition_k5_subset_1,redefinition_k7_funct_2,redefinition_k8_funct_2,redefinition_m1_struct_0,redefinition_m2_relset_1,reflexivity_r1_tarski,t10_partfun2,t12_ndiff_2,t17_nfcont_1,t1_ndiff_1,t1_subset,t21_funct_1,t23_funct_1,t2_boole,t2_subset,t38_vfunct_1,t3_subset,t46_relat_1,t49_ndiff_1,t4_nfcont_1,t4_subset,t52_ndiff_1,t5_subset,t6_boole,t6_partfun2,t7_boole,t8_boole]),
    [file(ndiff_2,t13_ndiff_2)]).

fof(abstractness_v1_normsp_1,axiom,(
    ! [A] : 
      ( l1_normsp_1(A)
     => ( v1_normsp_1(A)
       => A = g1_normsp_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A),u1_normsp_1(A)) ) ) ),
    file(normsp_1,v1_normsp_1),
    []).

fof(abstractness_v2_rlvect_1,axiom,(
    ! [A] : 
      ( l2_rlvect_1(A)
     => ( v2_rlvect_1(A)
       => A = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)) ) ) ),
    file(rlvect_1,v2_rlvect_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_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_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ! [C] : 
          ( m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
         => ( v1_relat_1(C)
            & v1_funct_1(C) ) ) ) ),
    file(lopban_1,cc2_lopban_1),
    []).

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

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

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(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(commutativity_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

fof(commutativity_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
    file(xboole_0,k3_xboole_0),
    []).

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(commutativity_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ) ),
    file(subset_1,k5_subset_1),
    []).

fof(d11_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k6_rlvect_1(A,B,C) = k2_rlvect_1(A,B,k5_rlvect_1(A,C)) ) ) ) ),
    file(rlvect_1,d11_rlvect_1),
    []).

fof(d12_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : 
          ( C = k9_relat_1(A,B)
        <=> ! [D] : 
              ( r2_hidden(D,C)
            <=> ? [E] : 
                  ( r2_hidden(E,k1_relat_1(A))
                  & r2_hidden(E,B)
                  & D = k1_funct_1(A,E) ) ) ) ) ),
    file(funct_1,d12_funct_1),
    []).

fof(d12_lopban_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( r2_hidden(C,k10_lopban_1(A,B))
             => k13_lopban_1(A,B,C) = C ) ) ) ),
    file(lopban_1,d12_lopban_1),
    []).

fof(d15_lopban_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => k16_lopban_1(A,B) = g1_normsp_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k15_lopban_1(A,B)) ) ) ),
    file(lopban_1,d15_lopban_1),
    []).

fof(d1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( ( ( B = k1_xboole_0
           => A = k1_xboole_0 )
         => ( v1_funct_2(C,A,B)
          <=> A = k4_relset_1(A,B,C) ) )
        & ( B = k1_xboole_0
         => ( A = k1_xboole_0
            | ( v1_funct_2(C,A,B)
            <=> C = k1_xboole_0 ) ) ) ) ) ),
    file(funct_2,d1_funct_2),
    []).

fof(d1_vfunct_1,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)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,A,u1_struct_0(B)) )
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,A,u1_struct_0(B)) )
                 => ! [E] : 
                      ( ( v1_funct_1(E)
                        & m2_relset_1(E,A,u1_struct_0(B)) )
                     => ( E = k1_vfunct_1(A,B,C,D)
                      <=> ( k4_relset_1(A,u1_struct_0(B),E) = k5_subset_1(A,k4_relset_1(A,u1_struct_0(B),C),k4_relset_1(A,u1_struct_0(B),D))
                          & ! [F] : 
                              ( m1_subset_1(F,A)
                             => ( r2_hidden(F,k4_relset_1(A,u1_struct_0(B),E))
                               => k4_finseq_4(A,u1_struct_0(B),E,F) = k4_rlvect_1(B,k4_finseq_4(A,u1_struct_0(B),C,F),k4_finseq_4(A,u1_struct_0(B),D,F)) ) ) ) ) ) ) ) ) ) ),
    file(vfunct_1,d1_vfunct_1),
    []).

fof(d2_ndiff_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v3_rlvect_1(C)
                & v4_rlvect_1(C)
                & v5_rlvect_1(C)
                & v6_rlvect_1(C)
                & v7_rlvect_1(C)
                & v2_normsp_1(C)
                & l1_normsp_1(C) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B)))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(k16_lopban_1(B,C)))
                     => k2_ndiff_2(A,B,C,D,E) = k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),k13_lopban_1(A,B,D),k13_lopban_1(B,C,E)) ) ) ) ) ) ),
    file(ndiff_2,d2_ndiff_2),
    []).

fof(d2_rlvect_1,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => k1_rlvect_1(A) = u2_struct_0(A) ) ),
    file(rlvect_1,d2_rlvect_1),
    []).

fof(d3_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k2_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) ),
    file(rlvect_1,d3_rlvect_1),
    []).

fof(d3_tarski,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    []).

fof(d4_finseq_4,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(C)
        & m2_relset_1(C,A,B) )
     => ! [D] : 
          ( r2_hidden(D,k1_relat_1(C))
         => k4_finseq_4(A,B,C,D) = k1_funct_1(C,D) ) ) ),
    file(finseq_4,d4_finseq_4),
    []).

fof(d4_partfun1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( v1_partfun1(C,A,B)
      <=> k4_relset_1(A,B,C) = A ) ) ),
    file(partfun1,d4_partfun1),
    []).

fof(d5_lopban_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_rlvect_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_rlvect_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v1_lopban_1(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_rlvect_1(A,D,E)) = k2_rlvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) ) ) ) ) ) ) ),
    file(lopban_1,d5_lopban_1),
    []).

fof(d5_ndiff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & ~ v3_realset2(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v3_ndiff_1(C,A,B)
              <=> ( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
                  & ! [D] : 
                      ( ( v1_funct_1(D)
                        & v1_funct_2(D,k5_numbers,u1_struct_0(A))
                        & v2_ndiff_1(D,A)
                        & m2_relset_1(D,k5_numbers,u1_struct_0(A)) )
                     => ( v4_normsp_1(k1_ndiff_1(B,k3_nfcont_1(A,B,C,D),k18_seq_1(k7_normsp_1(A,D))),B)
                        & k8_normsp_1(B,k1_ndiff_1(B,k3_nfcont_1(A,B,C,D),k18_seq_1(k7_normsp_1(A,D)))) = k1_rlvect_1(B) ) ) ) ) ) ) ) ),
    file(ndiff_1,d5_ndiff_1),
    []).

fof(d5_tarski,axiom,(
    ! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)) ),
    file(tarski,d5_tarski),
    []).

fof(d6_ndiff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & ~ v3_realset2(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_ndiff_1(A,B,C,D)
                  <=> ? [E] : 
                        ( m1_nfcont_1(E,A,D)
                        & r1_tarski(E,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                        & ? [F] : 
                            ( m1_subset_1(F,u1_struct_0(k16_lopban_1(A,B)))
                            & ? [G] : 
                                ( v1_funct_1(G)
                                & v3_ndiff_1(G,A,B)
                                & m2_relset_1(G,u1_struct_0(A),u1_struct_0(B))
                                & ! [H] : 
                                    ( m1_subset_1(H,u1_struct_0(A))
                                   => ( r2_hidden(H,E)
                                     => k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,H),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D)) = k4_rlvect_1(B,k17_lopban_1(A,B,F,k6_rlvect_1(A,H,D)),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),G,k6_rlvect_1(A,H,D))) ) ) ) ) ) ) ) ) ) ) ),
    file(ndiff_1,d6_ndiff_1),
    []).

fof(d6_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ( v4_rlvect_1(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) ) ) ) ) ) ),
    file(rlvect_1,d6_rlvect_1),
    []).

fof(d7_ndiff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & ~ v3_realset2(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_ndiff_1(A,B,C,D)
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(k16_lopban_1(A,B)))
                       => ( E = k3_ndiff_1(A,B,C,D)
                        <=> ? [F] : 
                              ( m1_nfcont_1(F,A,D)
                              & r1_tarski(F,k4_relset_1(u1_struct_0(A),u1_struct_0(B),C))
                              & ? [G] : 
                                  ( v1_funct_1(G)
                                  & v3_ndiff_1(G,A,B)
                                  & m2_relset_1(G,u1_struct_0(A),u1_struct_0(B))
                                  & ! [H] : 
                                      ( m1_subset_1(H,u1_struct_0(A))
                                     => ( r2_hidden(H,F)
                                       => k6_rlvect_1(B,k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,H),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),C,D)) = k4_rlvect_1(B,k17_lopban_1(A,B,E,k6_rlvect_1(A,H,D)),k4_finseq_4(u1_struct_0(A),u1_struct_0(B),G,k6_rlvect_1(A,H,D))) ) ) ) ) ) ) ) ) ) ) ) ),
    file(ndiff_1,d7_ndiff_1),
    []).

fof(dt_g1_normsp_1,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(k1_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
        & v1_funct_1(E)
        & v1_funct_2(E,A,k1_numbers)
        & m1_relset_1(E,A,k1_numbers) )
     => ( v1_normsp_1(g1_normsp_1(A,B,C,D,E))
        & l1_normsp_1(g1_normsp_1(A,B,C,D,E)) ) ) ),
    file(normsp_1,g1_normsp_1),
    []).

fof(dt_g2_rlvect_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(k1_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) )
     => ( v2_rlvect_1(g2_rlvect_1(A,B,C,D))
        & l2_rlvect_1(g2_rlvect_1(A,B,C,D)) ) ) ),
    file(rlvect_1,g2_rlvect_1),
    []).

fof(dt_k10_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => m1_subset_1(k10_lopban_1(A,B),k1_zfmisc_1(u1_struct_0(k8_lopban_1(A,B)))) ) ),
    file(lopban_1,k10_lopban_1),
    []).

fof(dt_k10_relset_1,axiom,(
    ! [A,B,C,D] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B)) ) ),
    file(relset_1,k10_relset_1),
    []).

fof(dt_k10_rsspace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => m1_subset_1(k10_rsspace(A,B),B) ) ),
    file(rsspace,k10_rsspace),
    []).

fof(dt_k13_lopban_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( v1_funct_1(k13_lopban_1(A,B,C))
        & v1_funct_2(k13_lopban_1(A,B,C),u1_struct_0(A),u1_struct_0(B))
        & v1_lopban_1(k13_lopban_1(A,B,C),A,B)
        & v2_lopban_1(k13_lopban_1(A,B,C),A,B)
        & v3_lopban_1(k13_lopban_1(A,B,C),A,B)
        & m2_relset_1(k13_lopban_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) ),
    file(lopban_1,k13_lopban_1),
    []).

fof(dt_k15_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( v1_funct_1(k15_lopban_1(A,B))
        & v1_funct_2(k15_lopban_1(A,B),k10_lopban_1(A,B),k1_numbers)
        & m2_relset_1(k15_lopban_1(A,B),k10_lopban_1(A,B),k1_numbers) ) ) ),
    file(lopban_1,k15_lopban_1),
    []).

fof(dt_k16_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(k16_lopban_1(A,B))
        & l1_normsp_1(k16_lopban_1(A,B)) ) ) ),
    file(lopban_1,k16_lopban_1),
    []).

fof(dt_k17_lopban_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k17_lopban_1(A,B,C,D),u1_struct_0(B)) ) ),
    file(lopban_1,k17_lopban_1),
    []).

fof(dt_k18_seq_1,axiom,(
    ! [A] : 
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,k1_numbers)
        & m1_relset_1(A,k5_numbers,k1_numbers) )
     => ( v1_funct_1(k18_seq_1(A))
        & v1_funct_2(k18_seq_1(A),k5_numbers,k1_numbers)
        & m2_relset_1(k18_seq_1(A),k5_numbers,k1_numbers) ) ) ),
    file(seq_1,k18_seq_1),
    []).

fof(dt_k1_domain_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(C,A)
        & m1_subset_1(D,B) )
     => m1_subset_1(k1_domain_1(A,B,C,D),k2_zfmisc_1(A,B)) ) ),
    file(domain_1,k1_domain_1),
    []).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

fof(dt_k1_ndiff_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & m1_relset_1(B,k5_numbers,u1_struct_0(A))
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,k1_numbers)
        & m1_relset_1(C,k5_numbers,k1_numbers) )
     => ( v1_funct_1(k1_ndiff_1(A,B,C))
        & v1_funct_2(k1_ndiff_1(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k1_ndiff_1(A,B,C),k5_numbers,u1_struct_0(A)) ) ) ),
    file(ndiff_1,k1_ndiff_1),
    []).

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

fof(dt_k1_partfun1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( v1_funct_1(E)
        & m1_relset_1(E,A,B)
        & v1_funct_1(F)
        & m1_relset_1(F,C,D) )
     => ( v1_funct_1(k1_partfun1(A,B,C,D,E,F))
        & m2_relset_1(k1_partfun1(A,B,C,D,E,F),A,D) ) ) ),
    file(partfun1,k1_partfun1),
    []).

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    []).

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_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

fof(dt_k1_vfunct_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & v1_funct_1(C)
        & m1_relset_1(C,A,u1_struct_0(B))
        & v1_funct_1(D)
        & m1_relset_1(D,A,u1_struct_0(B)) )
     => ( v1_funct_1(k1_vfunct_1(A,B,C,D))
        & m2_relset_1(k1_vfunct_1(A,B,C,D),A,u1_struct_0(B)) ) ) ),
    file(vfunct_1,k1_vfunct_1),
    []).

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_ndiff_2,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & ~ v3_struct_0(C)
        & v3_rlvect_1(C)
        & v4_rlvect_1(C)
        & v5_rlvect_1(C)
        & v6_rlvect_1(C)
        & v7_rlvect_1(C)
        & v2_normsp_1(C)
        & l1_normsp_1(C)
        & m1_subset_1(D,u1_struct_0(k16_lopban_1(A,B)))
        & m1_subset_1(E,u1_struct_0(k16_lopban_1(B,C))) )
     => m1_subset_1(k2_ndiff_2(A,B,C,D,E),u1_struct_0(k16_lopban_1(A,C))) ) ),
    file(ndiff_2,k2_ndiff_2),
    []).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_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_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    []).

fof(dt_k2_vfunct_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & v1_funct_1(C)
        & m1_relset_1(C,A,u1_struct_0(B))
        & v1_funct_1(D)
        & m1_relset_1(D,A,u1_struct_0(B)) )
     => ( v1_funct_1(k2_vfunct_1(A,B,C,D))
        & m2_relset_1(k2_vfunct_1(A,B,C,D),A,u1_struct_0(B)) ) ) ),
    file(vfunct_1,k2_vfunct_1),
    []).

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

fof(dt_k3_ndiff_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & ~ v3_realset2(B)
        & l1_normsp_1(B)
        & v1_funct_1(C)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k3_ndiff_1(A,B,C,D),u1_struct_0(k16_lopban_1(A,B))) ) ),
    file(ndiff_1,k3_ndiff_1),
    []).

fof(dt_k3_nfcont_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & v1_funct_1(C)
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & v1_funct_1(D)
        & v1_funct_2(D,k5_numbers,u1_struct_0(A))
        & m1_relset_1(D,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k3_nfcont_1(A,B,C,D))
        & v1_funct_2(k3_nfcont_1(A,B,C,D),k5_numbers,u1_struct_0(B))
        & m2_relset_1(k3_nfcont_1(A,B,C,D),k5_numbers,u1_struct_0(B)) ) ) ),
    file(nfcont_1,k3_nfcont_1),
    []).

fof(dt_k3_xboole_0,axiom,(
    $true ),
    file(xboole_0,k3_xboole_0),
    []).

fof(dt_k4_finseq_4,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & m1_relset_1(C,A,B) )
     => m1_subset_1(k4_finseq_4(A,B,C,D),B) ) ),
    file(finseq_4,k4_finseq_4),
    []).

fof(dt_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(relset_1,k4_relset_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_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

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

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

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_k5_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k5_relset_1(A,B,C),k1_zfmisc_1(B)) ) ),
    file(relset_1,k5_relset_1),
    []).

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_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(subset_1,k5_subset_1),
    []).

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_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_k7_normsp_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & m1_relset_1(B,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k7_normsp_1(A,B))
        & v1_funct_2(k7_normsp_1(A,B),k5_numbers,k1_numbers)
        & m2_relset_1(k7_normsp_1(A,B),k5_numbers,k1_numbers) ) ) ),
    file(normsp_1,k7_normsp_1),
    []).

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

fof(dt_k8_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k8_lopban_1(A,B))
        & v3_rlvect_1(k8_lopban_1(A,B))
        & v4_rlvect_1(k8_lopban_1(A,B))
        & v5_rlvect_1(k8_lopban_1(A,B))
        & v6_rlvect_1(k8_lopban_1(A,B))
        & v7_rlvect_1(k8_lopban_1(A,B))
        & l2_rlvect_1(k8_lopban_1(A,B)) ) ) ),
    file(lopban_1,k8_lopban_1),
    []).

fof(dt_k8_normsp_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & m1_relset_1(B,k5_numbers,u1_struct_0(A)) )
     => m1_subset_1(k8_normsp_1(A,B),u1_struct_0(A)) ) ),
    file(normsp_1,k8_normsp_1),
    []).

fof(dt_k8_rsspace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_funct_1(k8_rsspace(A,B))
        & v1_funct_2(k8_rsspace(A,B),k2_zfmisc_1(B,B),B)
        & m2_relset_1(k8_rsspace(A,B),k2_zfmisc_1(B,B),B) ) ) ),
    file(rsspace,k8_rsspace),
    []).

fof(dt_k9_relat_1,axiom,(
    $true ),
    file(relat_1,k9_relat_1),
    []).

fof(dt_k9_rsspace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_funct_1(k9_rsspace(A,B))
        & v1_funct_2(k9_rsspace(A,B),k2_zfmisc_1(k1_numbers,B),B)
        & m2_relset_1(k9_rsspace(A,B),k2_zfmisc_1(k1_numbers,B),B) ) ) ),
    file(rsspace,k9_rsspace),
    []).

fof(dt_l1_normsp_1,axiom,(
    ! [A] : 
      ( l1_normsp_1(A)
     => l2_rlvect_1(A) ) ),
    file(normsp_1,l1_normsp_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_rlvect_1,axiom,(
    ! [A] : 
      ( l2_rlvect_1(A)
     => l1_rlvect_1(A) ) ),
    file(rlvect_1,l2_rlvect_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_nfcont_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ! [C] : 
          ( m1_nfcont_1(C,A,B)
         => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ),
    file(nfcont_1,m1_nfcont_1),
    []).

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_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_normsp_1,axiom,(
    ! [A] : 
      ( l1_normsp_1(A)
     => ( v1_funct_1(u1_normsp_1(A))
        & v1_funct_2(u1_normsp_1(A),u1_struct_0(A),k1_numbers)
        & m2_relset_1(u1_normsp_1(A),u1_struct_0(A),k1_numbers) ) ) ),
    file(normsp_1,u1_normsp_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_rlvect_1,axiom,(
    ! [A] : 
      ( l2_rlvect_1(A)
     => ( v1_funct_1(u2_rlvect_1(A))
        & v1_funct_2(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(rlvect_1,u2_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(existence_l1_normsp_1,axiom,(
    ? [A] : l1_normsp_1(A) ),
    file(normsp_1,l1_normsp_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_rlvect_1,axiom,(
    ? [A] : l2_rlvect_1(A) ),
    file(rlvect_1,l2_rlvect_1),
    []).

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

fof(existence_m1_nfcont_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ? [C] : m1_nfcont_1(C,A,B) ) ),
    file(nfcont_1,m1_nfcont_1),
    []).

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_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    []).

fof(fc10_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(k16_lopban_1(A,B))
        & v3_rlvect_1(k16_lopban_1(A,B))
        & v4_rlvect_1(k16_lopban_1(A,B))
        & v5_rlvect_1(k16_lopban_1(A,B))
        & v6_rlvect_1(k16_lopban_1(A,B))
        & v7_rlvect_1(k16_lopban_1(A,B))
        & v2_normsp_1(k16_lopban_1(A,B)) ) ) ),
    file(lopban_1,fc10_lopban_1),
    []).

fof(fc10_membered,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A)) ) ) ),
    file(membered,fc10_membered),
    []).

fof(fc11_membered,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A))
        & v5_membered(k1_tarski(A)) ) ) ),
    file(membered,fc11_membered),
    []).

fof(fc12_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => v1_membered(k2_tarski(A,B)) ) ),
    file(membered,fc12_membered),
    []).

fof(fc13_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc13_membered),
    []).

fof(fc14_membered,axiom,(
    ! [A,B] : 
      ( ( v1_rat_1(A)
        & v1_rat_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc14_membered),
    []).

fof(fc15_membered,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc15_membered),
    []).

fof(fc16_membered,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B))
        & v5_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc16_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_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(fc27_membered,axiom,(
    ! [A,B] : 
      ( v1_membered(A)
     => v1_membered(k3_xboole_0(A,B)) ) ),
    file(membered,fc27_membered),
    []).

fof(fc28_membered,axiom,(
    ! [A,B] : 
      ( v1_membered(A)
     => v1_membered(k3_xboole_0(B,A)) ) ),
    file(membered,fc28_membered),
    []).

fof(fc29_membered,axiom,(
    ! [A,B] : 
      ( v2_membered(A)
     => ( v1_membered(k3_xboole_0(A,B))
        & v2_membered(k3_xboole_0(A,B)) ) ) ),
    file(membered,fc29_membered),
    []).

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

fof(fc30_membered,axiom,(
    ! [A,B] : 
      ( v2_membered(A)
     => ( v1_membered(k3_xboole_0(B,A))
        & v2_membered(k3_xboole_0(B,A)) ) ) ),
    file(membered,fc30_membered),
    []).

fof(fc31_membered,axiom,(
    ! [A,B] : 
      ( v3_membered(A)
     => ( v1_membered(k3_xboole_0(A,B))
        & v2_membered(k3_xboole_0(A,B))
        & v3_membered(k3_xboole_0(A,B)) ) ) ),
    file(membered,fc31_membered),
    []).

fof(fc32_membered,axiom,(
    ! [A,B] : 
      ( v3_membered(A)
     => ( v1_membered(k3_xboole_0(B,A))
        & v2_membered(k3_xboole_0(B,A))
        & v3_membered(k3_xboole_0(B,A)) ) ) ),
    file(membered,fc32_membered),
    []).

fof(fc33_membered,axiom,(
    ! [A,B] : 
      ( v4_membered(A)
     => ( v1_membered(k3_xboole_0(A,B))
        & v2_membered(k3_xboole_0(A,B))
        & v3_membered(k3_xboole_0(A,B))
        & v4_membered(k3_xboole_0(A,B)) ) ) ),
    file(membered,fc33_membered),
    []).

fof(fc34_membered,axiom,(
    ! [A,B] : 
      ( v4_membered(A)
     => ( v1_membered(k3_xboole_0(B,A))
        & v2_membered(k3_xboole_0(B,A))
        & v3_membered(k3_xboole_0(B,A))
        & v4_membered(k3_xboole_0(B,A)) ) ) ),
    file(membered,fc34_membered),
    []).

fof(fc35_membered,axiom,(
    ! [A,B] : 
      ( v5_membered(A)
     => ( v1_membered(k3_xboole_0(A,B))
        & v2_membered(k3_xboole_0(A,B))
        & v3_membered(k3_xboole_0(A,B))
        & v4_membered(k3_xboole_0(A,B))
        & v5_membered(k3_xboole_0(A,B)) ) ) ),
    file(membered,fc35_membered),
    []).

fof(fc36_membered,axiom,(
    ! [A,B] : 
      ( v5_membered(A)
     => ( v1_membered(k3_xboole_0(B,A))
        & v2_membered(k3_xboole_0(B,A))
        & v3_membered(k3_xboole_0(B,A))
        & v4_membered(k3_xboole_0(B,A))
        & v5_membered(k3_xboole_0(B,A)) ) ) ),
    file(membered,fc36_membered),
    []).

fof(fc5_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k8_lopban_1(A,B))
        & v2_rlvect_1(k8_lopban_1(A,B))
        & v3_rlvect_1(k8_lopban_1(A,B))
        & v4_rlvect_1(k8_lopban_1(A,B))
        & v5_rlvect_1(k8_lopban_1(A,B))
        & v6_rlvect_1(k8_lopban_1(A,B))
        & v7_rlvect_1(k8_lopban_1(A,B)) ) ) ),
    file(lopban_1,fc5_lopban_1),
    []).

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(fc6_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_1(B) )
     => ( ~ v3_struct_0(k8_lopban_1(A,B))
        & v2_rlvect_1(k8_lopban_1(A,B))
        & v3_rlvect_1(k8_lopban_1(A,B))
        & v4_rlvect_1(k8_lopban_1(A,B))
        & v5_rlvect_1(k8_lopban_1(A,B))
        & v6_rlvect_1(k8_lopban_1(A,B))
        & v7_rlvect_1(k8_lopban_1(A,B))
        & v1_monoid_0(k8_lopban_1(A,B)) ) ) ),
    file(lopban_1,fc6_lopban_1),
    []).

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_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ~ v1_xboole_0(k10_lopban_1(A,B)) ) ),
    file(lopban_1,fc7_lopban_1),
    []).

fof(fc7_membered,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_membered(k1_tarski(A)) ) ),
    file(membered,fc7_membered),
    []).

fof(fc8_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B) )
     => ( ~ v3_struct_0(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v2_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v3_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v4_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v5_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v6_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B))))
        & v7_rlvect_1(g2_rlvect_1(k10_lopban_1(A,B),k10_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k8_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)),k9_rsspace(k8_lopban_1(A,B),k10_lopban_1(A,B)))) ) ) ),
    file(lopban_1,fc8_lopban_1),
    []).

fof(fc8_membered,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A)) ) ) ),
    file(membered,fc8_membered),
    []).

fof(fc9_membered,axiom,(
    ! [A] : 
      ( v1_rat_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A)) ) ) ),
    file(membered,fc9_membered),
    []).

fof(free_g1_normsp_1,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(k1_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A)
        & v1_funct_1(E)
        & v1_funct_2(E,A,k1_numbers)
        & m1_relset_1(E,A,k1_numbers) )
     => ! [F,G,H,I,J] : 
          ( g1_normsp_1(A,B,C,D,E) = g1_normsp_1(F,G,H,I,J)
         => ( A = F
            & B = G
            & C = H
            & D = I
            & E = J ) ) ) ),
    file(normsp_1,g1_normsp_1),
    []).

fof(free_g2_rlvect_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(k1_numbers,A),A)
        & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) )
     => ! [E,F,G,H] : 
          ( g2_rlvect_1(A,B,C,D) = g2_rlvect_1(E,F,G,H)
         => ( A = E
            & B = F
            & C = G
            & D = H ) ) ) ),
    file(rlvect_1,g2_rlvect_1),
    []).

fof(idempotence_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,A) = A ),
    file(xboole_0,k3_xboole_0),
    []).

fof(idempotence_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k5_subset_1(A,B,B) = B ) ),
    file(subset_1,k5_subset_1),
    []).

fof(rc1_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l2_rlvect_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & l2_rlvect_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_lopban_1(C,A,B)
          & v2_lopban_1(C,A,B) ) ) ),
    file(lopban_1,rc1_lopban_1),
    []).

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_ndiff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ? [B] : 
          ( m1_relset_1(B,k5_numbers,u1_struct_0(A))
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_funct_2(B,k5_numbers,u1_struct_0(A))
          & v2_ndiff_1(B,A) ) ) ),
    file(ndiff_1,rc1_ndiff_1),
    []).

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

fof(rc2_lopban_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_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_lopban_1(C,A,B)
          & v2_lopban_1(C,A,B)
          & v3_lopban_1(C,A,B) ) ) ),
    file(lopban_1,rc2_lopban_1),
    []).

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_ndiff_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & ~ v3_realset2(B)
        & l1_normsp_1(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v3_ndiff_1(C,A,B) ) ) ),
    file(ndiff_1,rc3_ndiff_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_k10_relset_1,axiom,(
    ! [A,B,C,D] : 
      ( m1_relset_1(C,A,B)
     => k10_relset_1(A,B,C,D) = k9_relat_1(C,D) ) ),
    file(relset_1,k10_relset_1),
    []).

fof(redefinition_k17_lopban_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A)
        & ~ v3_struct_0(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v2_normsp_1(B)
        & l1_normsp_1(B)
        & m1_subset_1(C,u1_struct_0(k16_lopban_1(A,B)))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k17_lopban_1(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(lopban_1,k17_lopban_1),
    []).

fof(redefinition_k1_domain_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(C,A)
        & m1_subset_1(D,B) )
     => k1_domain_1(A,B,C,D) = k4_tarski(C,D) ) ),
    file(domain_1,k1_domain_1),
    []).

fof(redefinition_k1_partfun1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( v1_funct_1(E)
        & m1_relset_1(E,A,B)
        & v1_funct_1(F)
        & m1_relset_1(F,C,D) )
     => k1_partfun1(A,B,C,D,E,F) = k5_relat_1(E,F) ) ),
    file(partfun1,k1_partfun1),
    []).

fof(redefinition_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k4_relset_1(A,B,C) = k1_relat_1(C) ) ),
    file(relset_1,k4_relset_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_k5_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k5_relset_1(A,B,C) = k2_relat_1(C) ) ),
    file(relset_1,k5_relset_1),
    []).

fof(redefinition_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k5_subset_1(A,B,C) = k3_xboole_0(B,C) ) ),
    file(subset_1,k5_subset_1),
    []).

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_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(funct_2,k8_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_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(t10_partfun2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ! [D] : 
                  ( m1_subset_1(D,A)
                 => ! [E] : 
                      ( ( v1_funct_1(E)
                        & m2_relset_1(E,A,B) )
                     => ! [F] : 
                          ( ( v1_funct_1(F)
                            & m2_relset_1(F,B,C) )
                         => ( ( r1_tarski(k2_relat_1(E),k4_relset_1(B,C,F))
                              & r2_hidden(D,k4_relset_1(A,B,E)) )
                           => k4_finseq_4(A,C,k1_partfun1(A,B,B,C,E,F),D) = k4_finseq_4(B,C,F,k4_finseq_4(A,B,E,D)) ) ) ) ) ) ) ) ),
    file(partfun2,t10_partfun2),
    []).

fof(t12_ndiff_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & ~ v3_realset2(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v3_rlvect_1(C)
                & v4_rlvect_1(C)
                & v5_rlvect_1(C)
                & v6_rlvect_1(C)
                & v7_rlvect_1(C)
                & v2_normsp_1(C)
                & ~ v3_realset2(C)
                & l1_normsp_1(C) )
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & v3_ndiff_1(D,A,B)
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ( k4_finseq_4(u1_struct_0(A),u1_struct_0(B),D,k1_rlvect_1(A)) = k1_rlvect_1(B)
                   => ! [E] : 
                        ( ( v1_funct_1(E)
                          & v3_ndiff_1(E,B,C)
                          & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
                       => ( k4_finseq_4(u1_struct_0(B),u1_struct_0(C),E,k1_rlvect_1(B)) = k1_rlvect_1(C)
                         => ! [F] : 
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,u1_struct_0(A),u1_struct_0(B))
                                & v1_lopban_1(F,A,B)
                                & v2_lopban_1(F,A,B)
                                & v3_lopban_1(F,A,B)
                                & m2_relset_1(F,u1_struct_0(A),u1_struct_0(B)) )
                             => ! [G] : 
                                  ( ( v1_funct_1(G)
                                    & v1_funct_2(G,u1_struct_0(B),u1_struct_0(C))
                                    & v1_lopban_1(G,B,C)
                                    & v2_lopban_1(G,B,C)
                                    & v3_lopban_1(G,B,C)
                                    & m2_relset_1(G,u1_struct_0(B),u1_struct_0(C)) )
                                 => ( v1_funct_1(k1_vfunct_1(u1_struct_0(A),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,G),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k1_vfunct_1(u1_struct_0(A),B,F,D),E)))
                                    & v3_ndiff_1(k1_vfunct_1(u1_struct_0(A),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,G),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k1_vfunct_1(u1_struct_0(A),B,F,D),E)),A,C)
                                    & m2_relset_1(k1_vfunct_1(u1_struct_0(A),C,k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),D,G),k1_partfun1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_struct_0(C),k1_vfunct_1(u1_struct_0(A),B,F,D),E)),u1_struct_0(A),u1_struct_0(C)) ) ) ) ) ) ) ) ) ) ) ),
    file(ndiff_2,t12_ndiff_2),
    []).

fof(t17_nfcont_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r1_nfcont_1(B,A,C,D)
                  <=> ( r2_hidden(D,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                      & ! [E] : 
                          ( m1_nfcont_1(E,A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D))
                         => ? [F] : 
                              ( m1_nfcont_1(F,B,D)
                              & r1_tarski(k10_relset_1(u1_struct_0(B),u1_struct_0(A),C,F),E) ) ) ) ) ) ) ) ) ),
    file(nfcont_1,t17_nfcont_1),
    []).

fof(t1_ndiff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_nfcont_1(C,A,B)
             => ! [D] : 
                  ( m1_nfcont_1(D,A,B)
                 => ? [E] : 
                      ( m1_nfcont_1(E,A,B)
                      & r1_tarski(E,C)
                      & r1_tarski(E,D) ) ) ) ) ) ),
    file(ndiff_1,t1_ndiff_1),
    []).

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

fof(t21_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ! [C] : 
          ( ( v1_relat_1(C)
            & v1_funct_1(C) )
         => ( r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))
          <=> ( r2_hidden(A,k1_relat_1(C))
              & r2_hidden(k1_funct_1(C,A),k1_relat_1(B)) ) ) ) ) ),
    file(funct_1,t21_funct_1),
    []).

fof(t23_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ! [C] : 
          ( ( v1_relat_1(C)
            & v1_funct_1(C) )
         => ( r2_hidden(A,k1_relat_1(B))
           => k1_funct_1(k5_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A)) ) ) ) ),
    file(funct_1,t23_funct_1),
    []).

fof(t2_boole,axiom,(
    ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ),
    file(boole,t2_boole),
    []).

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

fof(t38_vfunct_1,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)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,A,u1_struct_0(B)) )
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,A,u1_struct_0(B)) )
                 => ( ( ( v1_partfun1(C,A,u1_struct_0(B))
                        & v1_partfun1(D,A,u1_struct_0(B)) )
                     => v1_partfun1(k1_vfunct_1(A,B,C,D),A,u1_struct_0(B)) )
                    & ( v1_partfun1(k1_vfunct_1(A,B,C,D),A,u1_struct_0(B))
                     => ( v1_partfun1(C,A,u1_struct_0(B))
                        & v1_partfun1(D,A,u1_struct_0(B)) ) )
                    & ( ( v1_partfun1(C,A,u1_struct_0(B))
                        & v1_partfun1(D,A,u1_struct_0(B)) )
                     => v1_partfun1(k2_vfunct_1(A,B,C,D),A,u1_struct_0(B)) )
                    & ( v1_partfun1(k2_vfunct_1(A,B,C,D),A,u1_struct_0(B))
                     => ( v1_partfun1(C,A,u1_struct_0(B))
                        & v1_partfun1(D,A,u1_struct_0(B)) ) ) ) ) ) ) ) ),
    file(vfunct_1,t38_vfunct_1),
    []).

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

fof(t46_relat_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ( r1_tarski(k2_relat_1(A),k1_relat_1(B))
           => k1_relat_1(k5_relat_1(A,B)) = k1_relat_1(A) ) ) ) ),
    file(relat_1,t46_relat_1),
    []).

fof(t49_ndiff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & ~ v3_realset2(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ( r1_ndiff_1(B,A,C,D)
                   => r1_nfcont_1(B,A,C,D) ) ) ) ) ) ),
    file(ndiff_1,t49_ndiff_1),
    []).

fof(t4_nfcont_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_nfcont_1(C,A,B)
             => r2_hidden(B,C) ) ) ) ),
    file(nfcont_1,t4_nfcont_1),
    []).

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(t52_ndiff_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v2_normsp_1(A)
        & ~ v3_realset2(A)
        & l1_normsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_rlvect_1(B)
            & v4_rlvect_1(B)
            & v5_rlvect_1(B)
            & v6_rlvect_1(B)
            & v7_rlvect_1(B)
            & v2_normsp_1(B)
            & ~ v3_realset2(B)
            & l1_normsp_1(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ~ ( r1_ndiff_1(B,A,C,D)
                      & ! [E] : 
                          ( m1_nfcont_1(E,B,D)
                         => ~ ( r1_tarski(E,k4_relset_1(u1_struct_0(B),u1_struct_0(A),C))
                              & ? [F] : 
                                  ( v1_funct_1(F)
                                  & v3_ndiff_1(F,B,A)
                                  & m2_relset_1(F,u1_struct_0(B),u1_struct_0(A))
                                  & k4_finseq_4(u1_struct_0(B),u1_struct_0(A),F,k1_rlvect_1(B)) = k1_rlvect_1(A)
                                  & r1_nfcont_1(B,A,F,k1_rlvect_1(B))
                                  & ! [G] : 
                                      ( m1_subset_1(G,u1_struct_0(B))
                                     => ( r2_hidden(G,E)
                                       => k6_rlvect_1(A,k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,G),k4_finseq_4(u1_struct_0(B),u1_struct_0(A),C,D)) = k4_rlvect_1(A,k17_lopban_1(B,A,k3_ndiff_1(B,A,C,D),k6_rlvect_1(B,G,D)),k4_finseq_4(u1_struct_0(B),u1_struct_0(A),F,k6_rlvect_1(B,G,D))) ) ) ) ) ) ) ) ) ) ) ),
    file(ndiff_1,t52_ndiff_1),
    []).

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_partfun2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & m2_relset_1(D,C,A) )
                 => ! [E] : 
                      ( ( v1_funct_1(E)
                        & m2_relset_1(E,A,B) )
                     => ! [F] : 
                          ( ( v1_funct_1(F)
                            & m2_relset_1(F,C,B) )
                         => ( F = k1_partfun1(C,A,A,B,D,E)
                          <=> ( ! [G] : 
                                  ( m1_subset_1(G,C)
                                 => ( r2_hidden(G,k4_relset_1(C,B,F))
                                  <=> ( r2_hidden(G,k4_relset_1(C,A,D))
                                      & r2_hidden(k4_finseq_4(C,A,D,G),k4_relset_1(A,B,E)) ) ) )
                              & ! [G] : 
                                  ( m1_subset_1(G,C)
                                 => ( r2_hidden(G,k4_relset_1(C,B,F))
                                   => k4_finseq_4(C,B,F,G) = k4_finseq_4(A,B,E,k4_finseq_4(C,A,D,G)) ) ) ) ) ) ) ) ) ) ) ),
    file(partfun2,t6_partfun2),
    []).

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),
    []).