% Mizar problem: t11_prelamb,prelamb,404,37 
fof(t11_prelamb,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ! [B] : 
          ( m1_prelamb(B,A)
         => ! [C] : 
              ( m1_trees_1(C,k1_relat_1(B))
             => ~ ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 0
                  & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 1
                  & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 2
                  & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 3
                  & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 4
                  & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 5
                  & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 6
                  & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 7 ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_finseq_1,cc1_finset_1,cc1_membered,cc1_relset_1,cc20_membered,cc2_finset_1,cc2_membered,cc3_membered,cc4_membered,cc6_membered,cc9_membered,commutativity_k2_tarski,d13_prelamb,d1_prelamb,d2_prelamb,d3_prelamb,d5_prelamb,d5_tarski,dt_k10_trees_2,dt_k12_finseq_1,dt_k13_finseq_1,dt_k1_binop_1,dt_k1_funct_1,dt_k1_mcart_1,dt_k1_numbers,dt_k1_prelamb,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_binop_1,dt_k2_mcart_1,dt_k2_prelamb,dt_k2_tarski,dt_k2_zfmisc_1,dt_k3_finseq_2,dt_k3_prelamb,dt_k3_trees_2,dt_k4_tarski,dt_k5_finseq_1,dt_k5_numbers,dt_k5_ordinal2,dt_k7_finseq_1,dt_k8_finseq_1,dt_l1_prelamb,dt_l1_struct_0,dt_m1_finseq_1,dt_m1_finseq_2,dt_m1_prelamb,dt_m1_relset_1,dt_m1_subset_1,dt_m1_trees_1,dt_m2_finseq_1,dt_m2_relset_1,dt_m3_trees_2,dt_u1_prelamb,dt_u1_struct_0,dt_u2_prelamb,dt_u3_prelamb,existence_l1_prelamb,existence_l1_struct_0,existence_m1_finseq_1,existence_m1_finseq_2,existence_m1_prelamb,existence_m1_relset_1,existence_m1_subset_1,existence_m1_trees_1,existence_m2_finseq_1,existence_m2_relset_1,existence_m3_trees_2,fc10_membered,fc11_membered,fc12_finseq_1,fc12_membered,fc13_finseq_1,fc13_membered,fc14_finseq_1,fc14_finset_1,fc14_membered,fc15_membered,fc16_finseq_1,fc16_membered,fc17_finseq_1,fc1_finset_1,fc1_ordinal2,fc1_struct_0,fc1_subset_1,fc2_finseq_1,fc2_finset_1,fc2_membered,fc2_subset_1,fc2_trees_2,fc3_finseq_1,fc3_subset_1,fc4_finseq_1,fc4_subset_1,fc5_membered,fc5_trees_2,fc6_membered,fc7_membered,fc8_membered,fc9_finseq_1,fc9_membered,rc1_finseq_1,rc1_finset_1,rc1_membered,rc1_subset_1,rc2_finseq_1,rc2_finset_1,rc2_subset_1,rc3_finseq_1,rc3_finset_1,rc3_struct_0,rc4_finseq_1,rc4_finset_1,rc5_struct_0,rc5_trees_2,rc6_finseq_1,rc6_trees_2,rc7_finseq_1,rc7_trees_2,rc8_finseq_1,rc8_trees_2,rc9_trees_2,redefinition_k12_finseq_1,redefinition_k2_binop_1,redefinition_k3_finseq_2,redefinition_k3_trees_2,redefinition_k5_numbers,redefinition_k8_finseq_1,redefinition_m1_trees_1,redefinition_m2_finseq_1,redefinition_m2_relset_1,reflexivity_r1_tarski,spc0_boole,spc1_boole,spc1_numerals,spc2_boole,spc2_numerals,spc3_boole,spc3_numerals,spc4_boole,spc4_numerals,spc5_boole,spc5_numerals,spc6_boole,spc6_numerals,spc7_boole,spc7_numerals,t1_numerals,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(prelamb,t11_prelamb)]).

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_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) ) ) ),
    file(finseq_1,cc1_finseq_1),
    []).

fof(cc1_finset_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_finset_1(A) ) ),
    file(finset_1,cc1_finset_1),
    []).

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(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_finset_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_finset_1(B) ) ) ),
    file(finset_1,cc2_finset_1),
    []).

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

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

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

fof(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(d13_prelamb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_finset_1(B)
            & v3_trees_2(B)
            & m3_trees_2(B,k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers)) )
         => ( m1_prelamb(B,A)
          <=> ( v1_finset_1(k1_relat_1(B))
              & ! [C] : 
                  ( m1_trees_1(C,k1_relat_1(B))
                 => v2_prelamb(C,A,B) ) ) ) ) ) ),
    file(prelamb,d13_prelamb),
    []).

fof(d1_prelamb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k1_prelamb(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_prelamb(A),B,C) ) ) ) ),
    file(prelamb,d1_prelamb),
    []).

fof(d2_prelamb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k2_prelamb(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_prelamb(A),B,C) ) ) ) ),
    file(prelamb,d2_prelamb),
    []).

fof(d3_prelamb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k3_prelamb(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u3_prelamb(A),B,C) ) ) ) ),
    file(prelamb,d3_prelamb),
    []).

fof(d5_prelamb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_finset_1(B)
            & v3_trees_2(B)
            & m3_trees_2(B,k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers)) )
         => ! [C] : 
              ( m1_trees_1(C,k1_relat_1(B))
             => ( ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 0
                 => ( v2_prelamb(C,A,B)
                  <=> ( k10_trees_2(k1_relat_1(B),C) = 0
                      & ? [D] : 
                          ( m1_subset_1(D,u1_struct_0(A))
                          & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(k12_finseq_1(u1_struct_0(A),D),D) ) ) ) )
                & ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 1
                 => ( v2_prelamb(C,A,B)
                  <=> ( k10_trees_2(k1_relat_1(B),C) = 1
                      & ? [D] : 
                          ( m2_finseq_1(D,u1_struct_0(A))
                          & ? [E] : 
                              ( m1_subset_1(E,u1_struct_0(A))
                              & ? [F] : 
                                  ( m1_subset_1(F,u1_struct_0(A))
                                  & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(D,k2_prelamb(A,E,F))
                                  & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,0)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),D,k12_finseq_1(u1_struct_0(A),F)),E) ) ) ) ) ) )
                & ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 2
                 => ( v2_prelamb(C,A,B)
                  <=> ( k10_trees_2(k1_relat_1(B),C) = 1
                      & ? [D] : 
                          ( m2_finseq_1(D,u1_struct_0(A))
                          & ? [E] : 
                              ( m1_subset_1(E,u1_struct_0(A))
                              & ? [F] : 
                                  ( m1_subset_1(F,u1_struct_0(A))
                                  & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(D,k1_prelamb(A,F,E))
                                  & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,0)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),F),D),E) ) ) ) ) ) )
                & ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 3
                 => ( v2_prelamb(C,A,B)
                  <=> ( k10_trees_2(k1_relat_1(B),C) = 2
                      & ? [D] : 
                          ( m2_finseq_1(D,u1_struct_0(A))
                          & ? [E] : 
                              ( m2_finseq_1(E,u1_struct_0(A))
                              & ? [F] : 
                                  ( m2_finseq_1(F,u1_struct_0(A))
                                  & ? [G] : 
                                      ( m1_subset_1(G,u1_struct_0(A))
                                      & ? [H] : 
                                          ( m1_subset_1(H,u1_struct_0(A))
                                          & ? [I] : 
                                              ( m1_subset_1(I,u1_struct_0(A))
                                              & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),k2_prelamb(A,G,H))),D),F),I)
                                              & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,0)))) = k4_tarski(D,H)
                                              & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,1)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),G)),F),I) ) ) ) ) ) ) ) ) )
                & ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 4
                 => ( v2_prelamb(C,A,B)
                  <=> ( k10_trees_2(k1_relat_1(B),C) = 2
                      & ? [D] : 
                          ( m2_finseq_1(D,u1_struct_0(A))
                          & ? [E] : 
                              ( m2_finseq_1(E,u1_struct_0(A))
                              & ? [F] : 
                                  ( m2_finseq_1(F,u1_struct_0(A))
                                  & ? [G] : 
                                      ( m1_subset_1(G,u1_struct_0(A))
                                      & ? [H] : 
                                          ( m1_subset_1(H,u1_struct_0(A))
                                          & ? [I] : 
                                              ( m1_subset_1(I,u1_struct_0(A))
                                              & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,D),k12_finseq_1(u1_struct_0(A),k1_prelamb(A,H,G))),F),I)
                                              & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,0)))) = k4_tarski(D,H)
                                              & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,1)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),G)),F),I) ) ) ) ) ) ) ) ) )
                & ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 5
                 => ( v2_prelamb(C,A,B)
                  <=> ! [D] : 
                        ( m1_subset_1(D,u1_struct_0(A))
                       => ( k10_trees_2(k1_relat_1(B),C) = 1
                          & ? [E] : 
                              ( m2_finseq_1(E,u1_struct_0(A))
                              & ? [F] : 
                                  ( m1_subset_1(F,u1_struct_0(A))
                                  & ? [G] : 
                                      ( m1_subset_1(G,u1_struct_0(A))
                                      & ? [H] : 
                                          ( m2_finseq_1(H,u1_struct_0(A))
                                          & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),k3_prelamb(A,F,G))),H),D)
                                          & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,0)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),F)),k12_finseq_1(u1_struct_0(A),G)),H),D) ) ) ) ) ) ) ) )
                & ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 6
                 => ( v2_prelamb(C,A,B)
                  <=> ( k10_trees_2(k1_relat_1(B),C) = 2
                      & ? [D] : 
                          ( m2_finseq_1(D,u1_struct_0(A))
                          & ? [E] : 
                              ( m2_finseq_1(E,u1_struct_0(A))
                              & ? [F] : 
                                  ( m1_subset_1(F,u1_struct_0(A))
                                  & ? [G] : 
                                      ( m1_subset_1(G,u1_struct_0(A))
                                      & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),D,E),k3_prelamb(A,F,G))
                                      & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,0)))) = k4_tarski(D,F)
                                      & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,1)))) = k4_tarski(E,G) ) ) ) ) ) ) )
                & ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = 7
                 => ( v2_prelamb(C,A,B)
                  <=> ( k10_trees_2(k1_relat_1(B),C) = 2
                      & ? [D] : 
                          ( m2_finseq_1(D,u1_struct_0(A))
                          & ? [E] : 
                              ( m2_finseq_1(E,u1_struct_0(A))
                              & ? [F] : 
                                  ( m2_finseq_1(F,u1_struct_0(A))
                                  & ? [G] : 
                                      ( m1_subset_1(G,u1_struct_0(A))
                                      & ? [H] : 
                                          ( m1_subset_1(H,u1_struct_0(A))
                                          & k1_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,D),F),H)
                                          & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,0)))) = k4_tarski(D,G)
                                          & k1_mcart_1(k1_funct_1(B,k8_finseq_1(k5_numbers,C,k12_finseq_1(k5_numbers,1)))) = k4_tarski(k8_finseq_1(u1_struct_0(A),k8_finseq_1(u1_struct_0(A),E,k12_finseq_1(u1_struct_0(A),G)),F),H) ) ) ) ) ) ) ) )
                & ~ ( k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 0
                    & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 1
                    & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 2
                    & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 3
                    & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 4
                    & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 5
                    & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 6
                    & k2_mcart_1(k3_trees_2(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers),B,C)) != 7
                    & ~ ( v2_prelamb(C,A,B)
                      <=> ~ $true ) ) ) ) ) ) ),
    file(prelamb,d5_prelamb),
    []).

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

fof(dt_k10_trees_2,axiom,(
    $true ),
    file(trees_2,k10_trees_2),
    []).

fof(dt_k12_finseq_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => m2_finseq_1(k12_finseq_1(A,B),A) ) ),
    file(finseq_1,k12_finseq_1),
    []).

fof(dt_k13_finseq_1,axiom,(
    $true ),
    file(finseq_1,k13_finseq_1),
    []).

fof(dt_k1_binop_1,axiom,(
    $true ),
    file(binop_1,k1_binop_1),
    []).

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

fof(dt_k1_mcart_1,axiom,(
    $true ),
    file(mcart_1,k1_mcart_1),
    []).

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

fof(dt_k1_prelamb,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k1_prelamb(A,B,C),u1_struct_0(A)) ) ),
    file(prelamb,k1_prelamb),
    []).

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_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_mcart_1,axiom,(
    $true ),
    file(mcart_1,k2_mcart_1),
    []).

fof(dt_k2_prelamb,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k2_prelamb(A,B,C),u1_struct_0(A)) ) ),
    file(prelamb,k2_prelamb),
    []).

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

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

fof(dt_k3_finseq_2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k3_finseq_2(A))
      & m1_finseq_2(k3_finseq_2(A),A) ) ),
    file(finseq_2,k3_finseq_2),
    []).

fof(dt_k3_prelamb,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k3_prelamb(A,B,C),u1_struct_0(A)) ) ),
    file(prelamb,k3_prelamb),
    []).

fof(dt_k3_trees_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v3_trees_2(B)
        & m3_trees_2(B,A)
        & m1_subset_1(C,k1_relat_1(B)) )
     => m1_subset_1(k3_trees_2(A,B,C),A) ) ),
    file(trees_2,k3_trees_2),
    []).

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

fof(dt_k5_finseq_1,axiom,(
    $true ),
    file(finseq_1,k5_finseq_1),
    []).

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_k7_finseq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( v1_relat_1(k7_finseq_1(A,B))
        & v1_funct_1(k7_finseq_1(A,B))
        & v1_finseq_1(k7_finseq_1(A,B)) ) ) ),
    file(finseq_1,k7_finseq_1),
    []).

fof(dt_k8_finseq_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_finseq_1(B,A)
        & m1_finseq_1(C,A) )
     => m2_finseq_1(k8_finseq_1(A,B,C),A) ) ),
    file(finseq_1,k8_finseq_1),
    []).

fof(dt_l1_prelamb,axiom,(
    ! [A] : 
      ( l1_prelamb(A)
     => l1_struct_0(A) ) ),
    file(prelamb,l1_prelamb),
    []).

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

fof(dt_m1_finseq_1,axiom,(
    ! [A,B] : 
      ( m1_finseq_1(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) ) ) ),
    file(finseq_1,m1_finseq_1),
    []).

fof(dt_m1_finseq_2,axiom,(
    $true ),
    file(finseq_2,m1_finseq_2),
    []).

fof(dt_m1_prelamb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ! [B] : 
          ( m1_prelamb(B,A)
         => ( v1_funct_1(B)
            & v1_finset_1(B)
            & v3_trees_2(B)
            & m3_trees_2(B,k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)),k5_numbers)) ) ) ) ),
    file(prelamb,m1_prelamb),
    []).

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_m1_trees_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ! [B] : 
          ( m1_trees_1(B,A)
         => m2_finseq_1(B,k5_numbers) ) ) ),
    file(trees_1,m1_trees_1),
    []).

fof(dt_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
     => ( v1_funct_1(B)
        & v1_finseq_1(B)
        & m2_relset_1(B,k5_numbers,A) ) ) ),
    file(finseq_1,m2_finseq_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_m3_trees_2,axiom,(
    ! [A,B] : 
      ( m3_trees_2(B,A)
     => v1_relat_1(B) ) ),
    file(trees_2,m3_trees_2),
    []).

fof(dt_u1_prelamb,axiom,(
    ! [A] : 
      ( l1_prelamb(A)
     => ( v1_funct_1(u1_prelamb(A))
        & v1_funct_2(u1_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(prelamb,u1_prelamb),
    []).

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

fof(dt_u2_prelamb,axiom,(
    ! [A] : 
      ( l1_prelamb(A)
     => ( v1_funct_1(u2_prelamb(A))
        & v1_funct_2(u2_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u2_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(prelamb,u2_prelamb),
    []).

fof(dt_u3_prelamb,axiom,(
    ! [A] : 
      ( l1_prelamb(A)
     => ( v1_funct_1(u3_prelamb(A))
        & v1_funct_2(u3_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u3_prelamb(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(prelamb,u3_prelamb),
    []).

fof(existence_l1_prelamb,axiom,(
    ? [A] : l1_prelamb(A) ),
    file(prelamb,l1_prelamb),
    []).

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

fof(existence_m1_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_1(B,A) ),
    file(finseq_1,m1_finseq_1),
    []).

fof(existence_m1_finseq_2,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_2(B,A) ),
    file(finseq_2,m1_finseq_2),
    []).

fof(existence_m1_prelamb,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_prelamb(A) )
     => ? [B] : m1_prelamb(B,A) ) ),
    file(prelamb,m1_prelamb),
    []).

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_m1_trees_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ? [B] : m1_trees_1(B,A) ) ),
    file(trees_1,m1_trees_1),
    []).

fof(existence_m2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m2_finseq_1(B,A) ),
    file(finseq_1,m2_finseq_1),
    []).

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

fof(existence_m3_trees_2,axiom,(
    ! [A] : 
    ? [B] : m3_trees_2(B,A) ),
    file(trees_2,m3_trees_2),
    []).

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_finseq_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k5_finseq_1(A))
      & v1_relat_1(k5_finseq_1(A))
      & v1_funct_1(k5_finseq_1(A))
      & v1_finset_1(k5_finseq_1(A))
      & v1_finseq_1(k5_finseq_1(A)) ) ),
    file(finseq_1,fc12_finseq_1),
    []).

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_finseq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & ~ v1_xboole_0(B)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( ~ v1_xboole_0(k7_finseq_1(A,B))
        & v1_relat_1(k7_finseq_1(A,B))
        & v1_funct_1(k7_finseq_1(A,B))
        & v1_finset_1(k7_finseq_1(A,B))
        & v1_finseq_1(k7_finseq_1(A,B)) ) ) ),
    file(finseq_1,fc13_finseq_1),
    []).

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_finseq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & ~ v1_xboole_0(B)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) )
     => ( ~ v1_xboole_0(k7_finseq_1(B,A))
        & v1_relat_1(k7_finseq_1(B,A))
        & v1_funct_1(k7_finseq_1(B,A))
        & v1_finset_1(k7_finseq_1(B,A))
        & v1_finseq_1(k7_finseq_1(B,A)) ) ) ),
    file(finseq_1,fc14_finseq_1),
    []).

fof(fc14_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_1),
    []).

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_finseq_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k13_finseq_1(A))
      & v1_fraenkel(k13_finseq_1(A)) ) ),
    file(finseq_1,fc16_finseq_1),
    []).

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(fc17_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k1_relat_1(A)) ) ),
    file(finseq_1,fc17_finseq_1),
    []).

fof(fc1_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A)) ) ),
    file(finset_1,fc1_finset_1),
    []).

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

fof(fc2_finseq_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0) ),
    file(finseq_1,fc2_finseq_1),
    []).

fof(fc2_finset_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(k2_tarski(A,B))
      & v1_finset_1(k2_tarski(A,B)) ) ),
    file(finset_1,fc2_finset_1),
    []).

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

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

fof(fc2_trees_2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v3_trees_2(A) )
     => ( ~ v1_xboole_0(k1_relat_1(A))
        & v1_trees_1(k1_relat_1(A)) ) ) ),
    file(trees_2,fc2_trees_2),
    []).

fof(fc3_finseq_1,axiom,(
    ! [A] : 
      ( v1_relat_1(k5_finseq_1(A))
      & v1_funct_1(k5_finseq_1(A)) ) ),
    file(finseq_1,fc3_finseq_1),
    []).

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

fof(fc4_finseq_1,axiom,(
    ! [A] : 
      ( v1_relat_1(k5_finseq_1(A))
      & v1_funct_1(k5_finseq_1(A))
      & v1_finset_1(k5_finseq_1(A))
      & v1_finseq_1(k5_finseq_1(A)) ) ),
    file(finseq_1,fc4_finseq_1),
    []).

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

fof(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(fc5_trees_2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k1_relat_1(A)) ) ),
    file(trees_2,fc5_trees_2),
    []).

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

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_finseq_1,axiom,(
    ! [A] : ~ v1_xboole_0(k13_finseq_1(A)) ),
    file(finseq_1,fc9_finseq_1),
    []).

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(rc1_finseq_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc1_finseq_1),
    []).

fof(rc1_finset_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A) ) ),
    file(finset_1,rc1_finset_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_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_finseq_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,k5_numbers,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(finseq_1,rc2_finseq_1),
    []).

fof(rc2_finset_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_ordinal1(B)
      & v2_ordinal1(B)
      & v3_ordinal1(B)
      & v4_ordinal2(B)
      & v1_finset_1(B) ) ),
    file(finset_1,rc2_finset_1),
    []).

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

fof(rc3_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    []).

fof(rc3_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc3_finset_1),
    []).

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

fof(rc4_finseq_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_finseq_1(B,A)
      & v1_xboole_0(B)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(finseq_1,rc4_finseq_1),
    []).

fof(rc4_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc4_finset_1),
    []).

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(rc5_trees_2,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v3_trees_2(A) ) ),
    file(trees_2,rc5_trees_2),
    []).

fof(rc6_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc6_finseq_1),
    []).

fof(rc6_trees_2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m3_trees_2(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v3_trees_2(B) ) ) ),
    file(trees_2,rc6_trees_2),
    []).

fof(rc7_finseq_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc7_finseq_1),
    []).

fof(rc7_trees_2,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v3_trees_2(A) ) ),
    file(trees_2,rc7_trees_2),
    []).

fof(rc8_finseq_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc8_finseq_1),
    []).

fof(rc8_trees_2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m3_trees_2(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v3_trees_2(B) ) ) ),
    file(trees_2,rc8_trees_2),
    []).

fof(rc9_trees_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ? [C] : 
          ( m1_relset_1(C,A,B)
          & v1_relat_1(C)
          & ~ v1_xboole_0(C) ) ) ),
    file(trees_2,rc9_trees_2),
    []).

fof(redefinition_k12_finseq_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => k12_finseq_1(A,B) = k5_finseq_1(B) ) ),
    file(finseq_1,k12_finseq_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_k3_finseq_2,axiom,(
    ! [A] : k3_finseq_2(A) = k13_finseq_1(A) ),
    file(finseq_2,k3_finseq_2),
    []).

fof(redefinition_k3_trees_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(B)
        & v3_trees_2(B)
        & m3_trees_2(B,A)
        & m1_subset_1(C,k1_relat_1(B)) )
     => k3_trees_2(A,B,C) = k1_funct_1(B,C) ) ),
    file(trees_2,k3_trees_2),
    []).

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

fof(redefinition_k8_finseq_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_finseq_1(B,A)
        & m1_finseq_1(C,A) )
     => k8_finseq_1(A,B,C) = k7_finseq_1(B,C) ) ),
    file(finseq_1,k8_finseq_1),
    []).

fof(redefinition_m1_trees_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_trees_1(A) )
     => ! [B] : 
          ( m1_trees_1(B,A)
        <=> m1_subset_1(B,A) ) ) ),
    file(trees_1,m1_trees_1),
    []).

fof(redefinition_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
    <=> m1_finseq_1(B,A) ) ),
    file(finseq_1,m2_finseq_1),
    []).

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(spc0_boole,axiom,(
    v1_xboole_0(0) ),
    file(boole,spc0_boole),
    []).

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

fof(spc1_numerals,axiom,
    ( v2_xreal_0(1)
    & m1_subset_1(1,k5_numbers) ),
    file(numerals,spc1_numerals),
    []).

fof(spc2_boole,axiom,(
    ~ v1_xboole_0(2) ),
    file(boole,spc2_boole),
    []).

fof(spc2_numerals,axiom,
    ( v2_xreal_0(2)
    & m1_subset_1(2,k5_numbers) ),
    file(numerals,spc2_numerals),
    []).

fof(spc3_boole,axiom,(
    ~ v1_xboole_0(3) ),
    file(boole,spc3_boole),
    []).

fof(spc3_numerals,axiom,
    ( v2_xreal_0(3)
    & m1_subset_1(3,k5_numbers) ),
    file(numerals,spc3_numerals),
    []).

fof(spc4_boole,axiom,(
    ~ v1_xboole_0(4) ),
    file(boole,spc4_boole),
    []).

fof(spc4_numerals,axiom,
    ( v2_xreal_0(4)
    & m1_subset_1(4,k5_numbers) ),
    file(numerals,spc4_numerals),
    []).

fof(spc5_boole,axiom,(
    ~ v1_xboole_0(5) ),
    file(boole,spc5_boole),
    []).

fof(spc5_numerals,axiom,
    ( v2_xreal_0(5)
    & m1_subset_1(5,k5_numbers) ),
    file(numerals,spc5_numerals),
    []).

fof(spc6_boole,axiom,(
    ~ v1_xboole_0(6) ),
    file(boole,spc6_boole),
    []).

fof(spc6_numerals,axiom,
    ( v2_xreal_0(6)
    & m1_subset_1(6,k5_numbers) ),
    file(numerals,spc6_numerals),
    []).

fof(spc7_boole,axiom,(
    ~ v1_xboole_0(7) ),
    file(boole,spc7_boole),
    []).

fof(spc7_numerals,axiom,
    ( v2_xreal_0(7)
    & m1_subset_1(7,k5_numbers) ),
    file(numerals,spc7_numerals),
    []).

fof(t1_numerals,axiom,(
    m1_subset_1(0,k5_numbers) ),
    file(numerals,t1_numerals),
    []).

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

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

fof(t3_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),
    []).