% Mizar problem: t24_polyalg1,polyalg1,1478,53 
fof(t24_polyalg1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => g3_vectsp_1(u1_struct_0(k3_polyalg1(A)),u1_rlvect_1(k3_polyalg1(A)),u1_group_1(k3_polyalg1(A)),u1_vectsp_1(k3_polyalg1(A)),u2_struct_0(k3_polyalg1(A))) = k16_polynom3(A) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_polyalg1,abstractness_v3_vectsp_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_arytm_3,cc1_finseq_5,cc1_funct_1,cc1_membered,cc1_realset1,cc1_relset_1,cc1_vectsp_1,cc20_membered,cc2_arytm_3,cc2_funct_1,cc2_membered,cc2_vectsp_1,cc3_arytm_3,cc3_membered,cc4_membered,cc5_binom,cc6_membered,cc9_membered,commutativity_k2_tarski,d12_polynom3,d1_binop_1,d1_group_1,d24_vectsp_1,d2_polyalg1,d2_rlvect_1,d3_polyalg1,d3_realset1,d3_rlvect_1,d3_tarski,d5_tarski,d6_polyalg1,d9_vectsp_1,dt_g1_polyalg1,dt_g3_vectsp_1,dt_k12_polynom3,dt_k13_polynom3,dt_k14_polynom3,dt_k16_polynom3,dt_k1_binop_1,dt_k1_domain_1,dt_k1_funct_1,dt_k1_group_1,dt_k1_numbers,dt_k1_polyalg1,dt_k1_realset1,dt_k1_rlvect_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_binop_1,dt_k2_polyalg1,dt_k2_rlvect_1,dt_k2_tarski,dt_k2_vectsp_1,dt_k2_zfmisc_1,dt_k3_polyalg1,dt_k3_polynom5,dt_k4_tarski,dt_k5_numbers,dt_k5_ordinal2,dt_k6_vectsp_1,dt_k7_relat_1,dt_k8_funct_2,dt_k8_polynom3,dt_l1_group_1,dt_l1_polyalg1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l1_vectsp_1,dt_l2_struct_0,dt_l2_vectsp_1,dt_l3_vectsp_1,dt_l4_vectsp_1,dt_m1_polyalg1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_group_1,dt_u1_rlvect_1,dt_u1_struct_0,dt_u1_vectsp_1,dt_u2_struct_0,dt_u2_vectsp_1,existence_l1_group_1,existence_l1_polyalg1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l1_vectsp_1,existence_l2_struct_0,existence_l2_vectsp_1,existence_l3_vectsp_1,existence_l4_vectsp_1,existence_m1_polyalg1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc10_membered,fc10_polynom3,fc11_membered,fc11_polynom3,fc12_membered,fc12_polyalg1,fc12_polynom3,fc13_membered,fc14_membered,fc15_membered,fc16_membered,fc1_realset1,fc1_struct_0,fc1_subset_1,fc2_membered,fc2_polyalg1,fc2_polynom5,fc2_realset1,fc2_subset_1,fc3_polyalg1,fc3_polynom3,fc3_realset1,fc3_subset_1,fc4_funct_1,fc4_polyalg1,fc4_subset_1,fc5_membered,fc6_membered,fc6_polynom3,fc7_membered,fc7_polynom3,fc8_membered,fc8_polynom3,fc9_membered,free_g1_polyalg1,free_g3_vectsp_1,rc1_arytm_3,rc1_funct_1,rc1_membered,rc1_polyalg1,rc1_realset1,rc1_subset_1,rc2_binom,rc2_funct_1,rc2_polyalg1,rc2_realset1,rc2_subset_1,rc3_funct_1,rc3_struct_0,rc4_struct_0,rc5_polyalg1,rc5_struct_0,rc6_polyalg1,rc6_vectsp_1,rc7_polyalg1,rc7_vectsp_1,redefinition_k1_domain_1,redefinition_k2_binop_1,redefinition_k5_numbers,redefinition_k8_funct_2,redefinition_m2_relset_1,reflexivity_r1_tarski,t15_polyalg1,t16_polyalg1,t1_subset,t22_polyalg1,t23_polyalg1,t2_binop_1,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(polyalg1,t24_polyalg1)]).

fof(abstractness_v1_polyalg1,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l1_polyalg1(B,A) )
     => ( v1_polyalg1(B,A)
       => B = g1_polyalg1(A,u1_struct_0(B),u1_rlvect_1(B),u1_group_1(B),u2_struct_0(B),u1_vectsp_1(B),u2_vectsp_1(A,B)) ) ) ),
    file(polyalg1,v1_polyalg1),
    []).

fof(abstractness_v3_vectsp_1,axiom,(
    ! [A] : 
      ( l3_vectsp_1(A)
     => ( v3_vectsp_1(A)
       => A = g3_vectsp_1(u1_struct_0(A),u1_rlvect_1(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A)) ) ) ),
    file(vectsp_1,v3_vectsp_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_arytm_3,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_ordinal1(B)
            & v2_ordinal1(B)
            & v3_ordinal1(B) ) ) ) ),
    file(arytm_3,cc1_arytm_3),
    []).

fof(cc1_finseq_5,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_realset1(A) ) ),
    file(finseq_5,cc1_finseq_5),
    []).

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

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

fof(cc1_realset1,axiom,(
    ! [A] : 
      ( ~ v1_realset1(A)
     => ~ v1_xboole_0(A) ) ),
    file(realset1,cc1_realset1),
    []).

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_vectsp_1,axiom,(
    ! [A] : 
      ( l3_vectsp_1(A)
     => ( ( ~ v3_struct_0(A)
          & v7_vectsp_1(A) )
       => ( ~ v3_struct_0(A)
          & v4_vectsp_1(A)
          & v5_vectsp_1(A) ) ) ) ),
    file(vectsp_1,cc1_vectsp_1),
    []).

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_arytm_3,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v3_ordinal1(A) )
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc2_arytm_3),
    []).

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

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

fof(cc2_vectsp_1,axiom,(
    ! [A] : 
      ( l3_vectsp_1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_vectsp_1(A)
          & v5_vectsp_1(A) )
       => ( ~ v3_struct_0(A)
          & v7_vectsp_1(A) ) ) ) ),
    file(vectsp_1,cc2_vectsp_1),
    []).

fof(cc3_arytm_3,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_ordinal2)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc3_arytm_3),
    []).

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(cc5_binom,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_rlvect_1(A)
          & v5_rlvect_1(A)
          & v6_rlvect_1(A) )
       => ( ~ v3_struct_0(A)
          & v3_algstr_1(A) ) ) ) ),
    file(binom,cc5_binom),
    []).

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

fof(d12_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v3_vectsp_1(B)
            & l3_vectsp_1(B) )
         => ( B = k16_polynom3(A)
          <=> ( ! [C] : 
                  ( r2_hidden(C,u1_struct_0(B))
                <=> ( v1_funct_1(C)
                    & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                    & v1_algseq_1(C,A)
                    & m2_relset_1(C,k5_numbers,u1_struct_0(A)) ) )
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(B))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ! [E] : 
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                            & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                         => ! [F] : 
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,k5_numbers,u1_struct_0(A))
                                & m2_relset_1(F,k5_numbers,u1_struct_0(A)) )
                             => ( ( C = E
                                  & D = F )
                               => k2_rlvect_1(B,C,D) = k8_polynom3(A,E,F) ) ) ) ) )
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(B))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ! [E] : 
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                            & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                         => ! [F] : 
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,k5_numbers,u1_struct_0(A))
                                & m2_relset_1(F,k5_numbers,u1_struct_0(A)) )
                             => ( ( C = E
                                  & D = F )
                               => k1_group_1(B,C,D) = k14_polynom3(A,E,F) ) ) ) ) )
              & k1_rlvect_1(B) = k12_polynom3(A)
              & k2_vectsp_1(B) = k13_polynom3(A) ) ) ) ) ),
    file(polynom3,d12_polynom3),
    []).

fof(d1_binop_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C)) ) ),
    file(binop_1,d1_binop_1),
    []).

fof(d1_group_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k1_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C) ) ) ) ),
    file(group_1,d1_group_1),
    []).

fof(d24_vectsp_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l4_vectsp_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => k6_vectsp_1(A,B,C,D) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u2_vectsp_1(A,B),C,D) ) ) ) ) ),
    file(vectsp_1,d24_vectsp_1),
    []).

fof(d2_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v1_polyalg1(B,A)
            & l1_polyalg1(B,A) )
         => ( B = k1_polyalg1(A)
          <=> ( ! [C] : 
                  ( r2_hidden(C,u1_struct_0(B))
                <=> ( v1_funct_1(C)
                    & v1_funct_2(C,k5_numbers,u1_struct_0(A))
                    & m2_relset_1(C,k5_numbers,u1_struct_0(A)) ) )
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(B))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ! [E] : 
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                            & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                         => ! [F] : 
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,k5_numbers,u1_struct_0(A))
                                & m2_relset_1(F,k5_numbers,u1_struct_0(A)) )
                             => ( ( C = E
                                  & D = F )
                               => k2_rlvect_1(B,C,D) = k8_polynom3(A,E,F) ) ) ) ) )
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(B))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ! [E] : 
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                            & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                         => ! [F] : 
                              ( ( v1_funct_1(F)
                                & v1_funct_2(F,k5_numbers,u1_struct_0(A))
                                & m2_relset_1(F,k5_numbers,u1_struct_0(A)) )
                             => ( ( C = E
                                  & D = F )
                               => k1_group_1(B,C,D) = k14_polynom3(A,E,F) ) ) ) ) )
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(B))
                     => ! [E] : 
                          ( ( v1_funct_1(E)
                            & v1_funct_2(E,k5_numbers,u1_struct_0(A))
                            & m2_relset_1(E,k5_numbers,u1_struct_0(A)) )
                         => ( D = E
                           => k6_vectsp_1(A,B,C,D) = k3_polynom5(A,E,C) ) ) ) )
              & k1_rlvect_1(B) = k12_polynom3(A)
              & k2_vectsp_1(B) = k13_polynom3(A) ) ) ) ) ),
    file(polyalg1,d2_polyalg1),
    []).

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_polyalg1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ! [B] : 
          ( l1_polyalg1(B,A)
         => ! [C] : 
              ( l1_polyalg1(C,A)
             => ( m1_polyalg1(C,A,B)
              <=> ( r1_tarski(u1_struct_0(C),u1_struct_0(B))
                  & k2_vectsp_1(C) = k2_vectsp_1(B)
                  & k1_rlvect_1(C) = k1_rlvect_1(B)
                  & u1_rlvect_1(C) = k1_realset1(u1_rlvect_1(B),u1_struct_0(C))
                  & u1_group_1(C) = k1_realset1(u1_group_1(B),u1_struct_0(C))
                  & u2_vectsp_1(A,C) = k7_relat_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C))) ) ) ) ) ) ),
    file(polyalg1,d3_polyalg1),
    []).

fof(d3_realset1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : k1_realset1(A,B) = k7_relat_1(A,k2_zfmisc_1(B,B)) ) ),
    file(realset1,d3_realset1),
    []).

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

fof(d6_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v1_polyalg1(B,A)
            & l1_polyalg1(B,A) )
         => ( B = k3_polyalg1(A)
          <=> ? [C] : 
                ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_polyalg1(A))))
                & C = u1_struct_0(k16_polynom3(A))
                & B = k2_polyalg1(A,k1_polyalg1(A),C) ) ) ) ) ),
    file(polyalg1,d6_polyalg1),
    []).

fof(d9_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => k2_vectsp_1(A) = u1_vectsp_1(A) ) ),
    file(vectsp_1,d9_vectsp_1),
    []).

fof(dt_g1_polyalg1,axiom,(
    ! [A,B,C,D,E,F,G] : 
      ( ( l1_struct_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(B,B),B)
        & m1_relset_1(C,k2_zfmisc_1(B,B),B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(B,B),B)
        & m1_relset_1(D,k2_zfmisc_1(B,B),B)
        & m1_subset_1(E,B)
        & m1_subset_1(F,B)
        & v1_funct_1(G)
        & v1_funct_2(G,k2_zfmisc_1(u1_struct_0(A),B),B)
        & m1_relset_1(G,k2_zfmisc_1(u1_struct_0(A),B),B) )
     => ( v1_polyalg1(g1_polyalg1(A,B,C,D,E,F,G),A)
        & l1_polyalg1(g1_polyalg1(A,B,C,D,E,F,G),A) ) ) ),
    file(polyalg1,g1_polyalg1),
    []).

fof(dt_g3_vectsp_1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),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)
        & m1_subset_1(D,A)
        & m1_subset_1(E,A) )
     => ( v3_vectsp_1(g3_vectsp_1(A,B,C,D,E))
        & l3_vectsp_1(g3_vectsp_1(A,B,C,D,E)) ) ) ),
    file(vectsp_1,g3_vectsp_1),
    []).

fof(dt_k12_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_struct_0(A) )
     => ( v1_funct_1(k12_polynom3(A))
        & v1_funct_2(k12_polynom3(A),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k12_polynom3(A),k5_numbers,u1_struct_0(A)) ) ) ),
    file(polynom3,k12_polynom3),
    []).

fof(dt_k13_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_vectsp_1(A) )
     => ( v1_funct_1(k13_polynom3(A))
        & v1_funct_2(k13_polynom3(A),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k13_polynom3(A),k5_numbers,u1_struct_0(A)) ) ) ),
    file(polynom3,k13_polynom3),
    []).

fof(dt_k14_polynom3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l3_vectsp_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,u1_struct_0(A))
        & m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k14_polynom3(A,B,C))
        & v1_funct_2(k14_polynom3(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k14_polynom3(A,B,C),k5_numbers,u1_struct_0(A)) ) ) ),
    file(polynom3,k14_polynom3),
    []).

fof(dt_k16_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k16_polynom3(A))
        & v3_vectsp_1(k16_polynom3(A))
        & l3_vectsp_1(k16_polynom3(A)) ) ) ),
    file(polynom3,k16_polynom3),
    []).

fof(dt_k1_binop_1,axiom,(
    $true ),
    file(binop_1,k1_binop_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_group_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) ) ),
    file(group_1,k1_group_1),
    []).

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

fof(dt_k1_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k1_polyalg1(A))
        & v1_polyalg1(k1_polyalg1(A),A)
        & l1_polyalg1(k1_polyalg1(A),A) ) ) ),
    file(polyalg1,k1_polyalg1),
    []).

fof(dt_k1_realset1,axiom,(
    $true ),
    file(realset1,k1_realset1),
    []).

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_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_binop_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(A,B),C)
        & m1_relset_1(D,k2_zfmisc_1(A,B),C)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B) )
     => m1_subset_1(k2_binop_1(A,B,C,D,E,F),C) ) ),
    file(binop_1,k2_binop_1),
    []).

fof(dt_k2_polyalg1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A)
        & ~ v3_struct_0(B)
        & l1_polyalg1(B,A)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
     => ( ~ v3_struct_0(k2_polyalg1(A,B,C))
        & v1_polyalg1(k2_polyalg1(A,B,C),A)
        & m1_polyalg1(k2_polyalg1(A,B,C),A,B) ) ) ),
    file(polyalg1,k2_polyalg1),
    []).

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_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => m1_subset_1(k2_vectsp_1(A),u1_struct_0(A)) ) ),
    file(vectsp_1,k2_vectsp_1),
    []).

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

fof(dt_k3_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k3_polyalg1(A))
        & v1_polyalg1(k3_polyalg1(A),A)
        & l1_polyalg1(k3_polyalg1(A),A) ) ) ),
    file(polyalg1,k3_polyalg1),
    []).

fof(dt_k3_polynom5,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_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(C,u1_struct_0(A)) )
     => ( v1_funct_1(k3_polynom5(A,B,C))
        & v1_funct_2(k3_polynom5(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k3_polynom5(A,B,C),k5_numbers,u1_struct_0(A)) ) ) ),
    file(polynom5,k3_polynom5),
    []).

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_k6_vectsp_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l4_vectsp_1(B,A)
        & m1_subset_1(C,u1_struct_0(A))
        & m1_subset_1(D,u1_struct_0(B)) )
     => m1_subset_1(k6_vectsp_1(A,B,C,D),u1_struct_0(B)) ) ),
    file(vectsp_1,k6_vectsp_1),
    []).

fof(dt_k7_relat_1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(A)
     => v1_relat_1(k7_relat_1(A,B)) ) ),
    file(relat_1,k7_relat_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_polynom3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_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,u1_struct_0(A))
        & m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
     => ( v1_funct_1(k8_polynom3(A,B,C))
        & v1_funct_2(k8_polynom3(A,B,C),k5_numbers,u1_struct_0(A))
        & m2_relset_1(k8_polynom3(A,B,C),k5_numbers,u1_struct_0(A)) ) ) ),
    file(polynom3,k8_polynom3),
    []).

fof(dt_l1_group_1,axiom,(
    ! [A] : 
      ( l1_group_1(A)
     => l1_struct_0(A) ) ),
    file(group_1,l1_group_1),
    []).

fof(dt_l1_polyalg1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ! [B] : 
          ( l1_polyalg1(B,A)
         => ( l3_vectsp_1(B)
            & l4_vectsp_1(B,A) ) ) ) ),
    file(polyalg1,l1_polyalg1),
    []).

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_l1_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => l1_group_1(A) ) ),
    file(vectsp_1,l1_vectsp_1),
    []).

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

fof(dt_l2_vectsp_1,axiom,(
    ! [A] : 
      ( l2_vectsp_1(A)
     => ( l1_vectsp_1(A)
        & l2_struct_0(A) ) ) ),
    file(vectsp_1,l2_vectsp_1),
    []).

fof(dt_l3_vectsp_1,axiom,(
    ! [A] : 
      ( l3_vectsp_1(A)
     => ( l1_rlvect_1(A)
        & l2_vectsp_1(A) ) ) ),
    file(vectsp_1,l3_vectsp_1),
    []).

fof(dt_l4_vectsp_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ! [B] : 
          ( l4_vectsp_1(B,A)
         => l1_rlvect_1(B) ) ) ),
    file(vectsp_1,l4_vectsp_1),
    []).

fof(dt_m1_polyalg1,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l1_polyalg1(B,A) )
     => ! [C] : 
          ( m1_polyalg1(C,A,B)
         => l1_polyalg1(C,A) ) ) ),
    file(polyalg1,m1_polyalg1),
    []).

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

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_group_1,axiom,(
    ! [A] : 
      ( l1_group_1(A)
     => ( v1_funct_1(u1_group_1(A))
        & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(group_1,u1_group_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_u1_vectsp_1,axiom,(
    ! [A] : 
      ( l1_vectsp_1(A)
     => m1_subset_1(u1_vectsp_1(A),u1_struct_0(A)) ) ),
    file(vectsp_1,u1_vectsp_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(dt_u2_vectsp_1,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l4_vectsp_1(B,A) )
     => ( v1_funct_1(u2_vectsp_1(A,B))
        & v1_funct_2(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B))
        & m2_relset_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) ) ) ),
    file(vectsp_1,u2_vectsp_1),
    []).

fof(existence_l1_group_1,axiom,(
    ? [A] : l1_group_1(A) ),
    file(group_1,l1_group_1),
    []).

fof(existence_l1_polyalg1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : l1_polyalg1(B,A) ) ),
    file(polyalg1,l1_polyalg1),
    []).

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_l1_vectsp_1,axiom,(
    ? [A] : l1_vectsp_1(A) ),
    file(vectsp_1,l1_vectsp_1),
    []).

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

fof(existence_l2_vectsp_1,axiom,(
    ? [A] : l2_vectsp_1(A) ),
    file(vectsp_1,l2_vectsp_1),
    []).

fof(existence_l3_vectsp_1,axiom,(
    ? [A] : l3_vectsp_1(A) ),
    file(vectsp_1,l3_vectsp_1),
    []).

fof(existence_l4_vectsp_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : l4_vectsp_1(B,A) ) ),
    file(vectsp_1,l4_vectsp_1),
    []).

fof(existence_m1_polyalg1,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l1_polyalg1(B,A) )
     => ? [C] : m1_polyalg1(C,A,B) ) ),
    file(polyalg1,m1_polyalg1),
    []).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_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(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(fc10_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k16_polynom3(A))
        & v4_rlvect_1(k16_polynom3(A))
        & v3_vectsp_1(k16_polynom3(A)) ) ) ),
    file(polynom3,fc10_polynom3),
    []).

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(fc11_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k16_polynom3(A))
        & v5_rlvect_1(k16_polynom3(A))
        & v3_vectsp_1(k16_polynom3(A)) ) ) ),
    file(polynom3,fc11_polynom3),
    []).

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(fc12_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k16_polynom3(A))
        & v4_rlvect_1(k16_polynom3(A))
        & v5_rlvect_1(k16_polynom3(A))
        & v6_rlvect_1(k16_polynom3(A))
        & v3_vectsp_1(k16_polynom3(A))
        & v3_algstr_1(k16_polynom3(A))
        & v6_algstr_1(k16_polynom3(A)) ) ) ),
    file(polyalg1,fc12_polyalg1),
    []).

fof(fc12_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k16_polynom3(A))
        & v6_rlvect_1(k16_polynom3(A))
        & v3_vectsp_1(k16_polynom3(A)) ) ) ),
    file(polynom3,fc12_polynom3),
    []).

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_realset1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(A)
     => v1_relat_1(k1_realset1(A,B)) ) ),
    file(realset1,fc1_realset1),
    []).

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

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

fof(fc2_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k1_polyalg1(A))
        & v4_rlvect_1(k1_polyalg1(A))
        & v1_polyalg1(k1_polyalg1(A),A) ) ) ),
    file(polyalg1,fc2_polyalg1),
    []).

fof(fc2_polynom5,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v4_vectsp_1(A)
        & l3_vectsp_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & v1_algseq_1(B,A)
        & m1_relset_1(B,k5_numbers,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( ~ v1_xboole_0(k3_polynom5(A,B,C))
        & v1_relat_1(k3_polynom5(A,B,C))
        & v1_funct_1(k3_polynom5(A,B,C))
        & v1_funct_2(k3_polynom5(A,B,C),k5_numbers,u1_struct_0(A))
        & v1_partfun1(k3_polynom5(A,B,C),k5_numbers,u1_struct_0(A))
        & v1_algseq_1(k3_polynom5(A,B,C),A) ) ) ),
    file(polynom5,fc2_polynom5),
    []).

fof(fc2_realset1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(k1_realset1(A,B))
        & v1_funct_1(k1_realset1(A,B)) ) ) ),
    file(realset1,fc2_realset1),
    []).

fof(fc2_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    []).

fof(fc3_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v5_rlvect_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k1_polyalg1(A))
        & v5_rlvect_1(k1_polyalg1(A))
        & v1_polyalg1(k1_polyalg1(A),A) ) ) ),
    file(polyalg1,fc3_polyalg1),
    []).

fof(fc3_polynom3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v5_rlvect_1(A)
        & l1_rlvect_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & v1_algseq_1(B,A)
        & m1_relset_1(B,k5_numbers,u1_struct_0(A))
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,u1_struct_0(A))
        & v1_algseq_1(C,A)
        & m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
     => ( ~ v1_xboole_0(k8_polynom3(A,B,C))
        & v1_relat_1(k8_polynom3(A,B,C))
        & v1_funct_1(k8_polynom3(A,B,C))
        & v1_funct_2(k8_polynom3(A,B,C),k5_numbers,u1_struct_0(A))
        & v1_partfun1(k8_polynom3(A,B,C),k5_numbers,u1_struct_0(A))
        & v1_algseq_1(k8_polynom3(A,B,C),A) ) ) ),
    file(polynom3,fc3_polynom3),
    []).

fof(fc3_realset1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A))
      & v1_realset1(k1_tarski(A)) ) ),
    file(realset1,fc3_realset1),
    []).

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

fof(fc4_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(k7_relat_1(A,B))
        & v1_funct_1(k7_relat_1(A,B)) ) ) ),
    file(funct_1,fc4_funct_1),
    []).

fof(fc4_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & l3_vectsp_1(A) )
     => ( ~ v3_struct_0(k1_polyalg1(A))
        & v4_rlvect_1(k1_polyalg1(A))
        & v5_rlvect_1(k1_polyalg1(A))
        & v6_rlvect_1(k1_polyalg1(A))
        & v3_algstr_1(k1_polyalg1(A))
        & v1_polyalg1(k1_polyalg1(A),A) ) ) ),
    file(polyalg1,fc4_polyalg1),
    []).

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(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_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(fc6_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_struct_0(A) )
     => ( ~ v1_xboole_0(k12_polynom3(A))
        & v1_relat_1(k12_polynom3(A))
        & v1_funct_1(k12_polynom3(A))
        & v1_funct_2(k12_polynom3(A),k5_numbers,u1_struct_0(A))
        & v1_partfun1(k12_polynom3(A),k5_numbers,u1_struct_0(A))
        & v1_algseq_1(k12_polynom3(A),A) ) ) ),
    file(polynom3,fc6_polynom3),
    []).

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

fof(fc7_polynom3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_vectsp_1(A) )
     => ( ~ v1_xboole_0(k13_polynom3(A))
        & v1_relat_1(k13_polynom3(A))
        & v1_funct_1(k13_polynom3(A))
        & v1_funct_2(k13_polynom3(A),k5_numbers,u1_struct_0(A))
        & v1_partfun1(k13_polynom3(A),k5_numbers,u1_struct_0(A))
        & v1_algseq_1(k13_polynom3(A),A) ) ) ),
    file(polynom3,fc7_polynom3),
    []).

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

fof(fc8_polynom3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A)
        & v1_funct_1(B)
        & v1_funct_2(B,k5_numbers,u1_struct_0(A))
        & v1_algseq_1(B,A)
        & m1_relset_1(B,k5_numbers,u1_struct_0(A))
        & v1_funct_1(C)
        & v1_funct_2(C,k5_numbers,u1_struct_0(A))
        & v1_algseq_1(C,A)
        & m1_relset_1(C,k5_numbers,u1_struct_0(A)) )
     => ( ~ v1_xboole_0(k14_polynom3(A,B,C))
        & v1_relat_1(k14_polynom3(A,B,C))
        & v1_funct_1(k14_polynom3(A,B,C))
        & v1_funct_2(k14_polynom3(A,B,C),k5_numbers,u1_struct_0(A))
        & v1_partfun1(k14_polynom3(A,B,C),k5_numbers,u1_struct_0(A))
        & v1_algseq_1(k14_polynom3(A,B,C),A) ) ) ),
    file(polynom3,fc8_polynom3),
    []).

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_polyalg1,axiom,(
    ! [A,B,C,D,E,F,G] : 
      ( ( l1_struct_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(B,B),B)
        & m1_relset_1(C,k2_zfmisc_1(B,B),B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(B,B),B)
        & m1_relset_1(D,k2_zfmisc_1(B,B),B)
        & m1_subset_1(E,B)
        & m1_subset_1(F,B)
        & v1_funct_1(G)
        & v1_funct_2(G,k2_zfmisc_1(u1_struct_0(A),B),B)
        & m1_relset_1(G,k2_zfmisc_1(u1_struct_0(A),B),B) )
     => ! [H,I,J,K,L,M,N] : 
          ( g1_polyalg1(A,B,C,D,E,F,G) = g1_polyalg1(H,I,J,K,L,M,N)
         => ( A = H
            & B = I
            & C = J
            & D = K
            & E = L
            & F = M
            & G = N ) ) ) ),
    file(polyalg1,g1_polyalg1),
    []).

fof(free_g3_vectsp_1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),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)
        & m1_subset_1(D,A)
        & m1_subset_1(E,A) )
     => ! [F,G,H,I,J] : 
          ( g3_vectsp_1(A,B,C,D,E) = g3_vectsp_1(F,G,H,I,J)
         => ( A = F
            & B = G
            & C = H
            & D = I
            & E = J ) ) ) ),
    file(vectsp_1,g3_vectsp_1),
    []).

fof(rc1_arytm_3,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A) ) ),
    file(arytm_3,rc1_arytm_3),
    []).

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_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_polyalg1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ? [B] : 
          ( l1_polyalg1(B,A)
          & v1_polyalg1(B,A) ) ) ),
    file(polyalg1,rc1_polyalg1),
    []).

fof(rc1_realset1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_realset1(A) ) ),
    file(realset1,rc1_realset1),
    []).

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(rc2_binom,axiom,(
    ? [A] : 
      ( l1_rlvect_1(A)
      & ~ v3_struct_0(A)
      & v3_algstr_1(A) ) ),
    file(binom,rc2_binom),
    []).

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

fof(rc2_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l3_vectsp_1(A) )
     => ? [B] : 
          ( l1_polyalg1(B,A)
          & ~ v3_struct_0(B)
          & v1_polyalg1(B,A) ) ) ),
    file(polyalg1,rc2_polyalg1),
    []).

fof(rc2_realset1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & ~ v1_realset1(A) ) ),
    file(realset1,rc2_realset1),
    []).

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

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

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

fof(rc5_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( l1_polyalg1(B,A)
          & ~ v3_struct_0(B)
          & v1_polyalg1(B,A) ) ) ),
    file(polyalg1,rc5_polyalg1),
    []).

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(rc6_polyalg1,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l1_polyalg1(B,A) )
     => ? [C] : 
          ( m1_polyalg1(C,A,B)
          & v1_polyalg1(C,A) ) ) ),
    file(polyalg1,rc6_polyalg1),
    []).

fof(rc6_vectsp_1,axiom,(
    ? [A] : 
      ( l3_vectsp_1(A)
      & v3_vectsp_1(A) ) ),
    file(vectsp_1,rc6_vectsp_1),
    []).

fof(rc7_polyalg1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_polyalg1(B,A) )
     => ? [C] : 
          ( m1_polyalg1(C,A,B)
          & ~ v3_struct_0(C)
          & v1_polyalg1(C,A) ) ) ),
    file(polyalg1,rc7_polyalg1),
    []).

fof(rc7_vectsp_1,axiom,(
    ? [A] : 
      ( l3_vectsp_1(A)
      & ~ v3_struct_0(A)
      & v3_vectsp_1(A) ) ),
    file(vectsp_1,rc7_vectsp_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_k2_binop_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(A,B),C)
        & m1_relset_1(D,k2_zfmisc_1(A,B),C)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B) )
     => k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) ),
    file(binop_1,k2_binop_1),
    []).

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

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_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(t15_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_polyalg1(B,A) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & m1_polyalg1(C,A,B) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(C))
                             => ( ( D = F
                                  & E = G )
                               => k2_rlvect_1(B,D,E) = k2_rlvect_1(C,F,G) ) ) ) ) ) ) ) ) ),
    file(polyalg1,t15_polyalg1),
    []).

fof(t16_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_polyalg1(B,A) )
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & m1_polyalg1(C,A,B) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(B))
                     => ! [F] : 
                          ( m1_subset_1(F,u1_struct_0(C))
                         => ! [G] : 
                              ( m1_subset_1(G,u1_struct_0(C))
                             => ( ( D = F
                                  & E = G )
                               => k1_group_1(B,D,E) = k1_group_1(C,F,G) ) ) ) ) ) ) ) ) ),
    file(polyalg1,t16_polyalg1),
    []).

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

fof(t22_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_group_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_polyalg1(B,A) )
         => ! [C] : 
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
             => ( v3_polyalg1(C,A,B)
               => u1_struct_0(k2_polyalg1(A,B,C)) = C ) ) ) ) ),
    file(polyalg1,t22_polyalg1),
    []).

fof(t23_polyalg1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_vectsp_1(A)
        & l3_vectsp_1(A) )
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_polyalg1(A)))) )
         => ( B = u1_struct_0(k16_polynom3(A))
           => v3_polyalg1(B,A,k1_polyalg1(A)) ) ) ) ),
    file(polyalg1,t23_polyalg1),
    []).

fof(t2_binop_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,k2_zfmisc_1(A,B),C)
                    & m2_relset_1(D,k2_zfmisc_1(A,B),C) )
                 => ! [E] : 
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k2_zfmisc_1(A,B),C)
                        & m2_relset_1(E,k2_zfmisc_1(A,B),C) )
                     => ( ! [F] : 
                            ( m1_subset_1(F,A)
                           => ! [G] : 
                                ( m1_subset_1(G,B)
                               => k2_binop_1(A,B,C,D,F,G) = k2_binop_1(A,B,C,E,F,G) ) )
                       => D = E ) ) ) ) ) ) ),
    file(binop_1,t2_binop_1),
    []).

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

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

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

fof(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),
    []).