% Mizar problem: t23_lfuzzy_0,lfuzzy_0,1763,39 
fof(t23_lfuzzy_0,conjecture,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ! [D] : 
                  ( ~ v1_xboole_0(D)
                 => ! [E] : 
                      ( m1_fuzzy_1(E,k2_zfmisc_1(A,B))
                     => ! [F] : 
                          ( m1_fuzzy_1(F,k2_zfmisc_1(B,C))
                         => ! [G] : 
                              ( m1_fuzzy_1(G,k2_zfmisc_1(C,D))
                             => k3_fuzzy_4(A,C,D,k3_fuzzy_4(A,B,C,E,F),G) = k3_fuzzy_4(A,B,D,E,k3_fuzzy_4(B,C,D,F,G)) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,antisymmetry_r2_hidden,cc10_lfuzzy_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_lattice3,cc1_lfuzzy_0,cc1_membered,cc1_orders_4,cc1_relset_1,cc1_waybel_2,cc1_waybel_3,cc1_xreal_0,cc20_membered,cc2_lattice3,cc2_lfuzzy_0,cc2_membered,cc2_waybel_3,cc2_xreal_0,cc3_lfuzzy_0,cc3_membered,cc3_xreal_0,cc3_yellow14,cc4_lfuzzy_0,cc4_membered,cc4_waybel_2,cc4_waybel_3,cc4_xreal_0,cc5_lfuzzy_0,cc5_waybel_2,cc5_waybel_3,cc5_xreal_0,cc6_lfuzzy_0,cc6_membered,cc6_waybel_2,cc6_waybel_3,cc6_xreal_0,cc7_lfuzzy_0,cc7_waybel_2,cc7_xreal_0,cc8_lfuzzy_0,cc8_xreal_0,cc9_lfuzzy_0,cc9_membered,commutativity_k12_lattice3,commutativity_k2_tarski,d1_fuzzy_1,d5_tarski,dt_g1_orders_2,dt_k11_lattice3,dt_k12_lattice3,dt_k1_domain_1,dt_k1_funct_1,dt_k1_lfuzzy_0,dt_k1_numbers,dt_k1_rcomp_1,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_yellow_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k2_seq_1,dt_k2_tarski,dt_k2_zfmisc_1,dt_k3_fuzzy_4,dt_k4_relset_1,dt_k4_tarski,dt_k5_numbers,dt_k5_ordinal2,dt_k7_lfuzzy_0,dt_l1_orders_2,dt_l1_struct_0,dt_m1_fuzzy_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_orders_2,dt_u1_struct_0,existence_l1_orders_2,existence_l1_struct_0,existence_m1_fuzzy_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc10_membered,fc11_membered,fc12_membered,fc13_membered,fc14_membered,fc15_membered,fc16_membered,fc1_lfuzzy_0,fc1_struct_0,fc1_subset_1,fc2_lfuzzy_0,fc2_membered,fc2_subset_1,fc3_lfuzzy_0,fc3_subset_1,fc4_subset_1,fc5_membered,fc6_membered,fc7_membered,fc8_membered,fc9_membered,fraenkel_a_10_0_lfuzzy_0,fraenkel_a_10_1_lfuzzy_0,fraenkel_a_7_0_lfuzzy_0,fraenkel_a_8_0_lfuzzy_0,fraenkel_a_8_2_lfuzzy_0,fraenkel_a_9_0_lfuzzy_0,fraenkel_a_9_1_lfuzzy_0,fraenkel_a_9_2_lfuzzy_0,fraenkel_a_9_3_lfuzzy_0,free_g1_orders_2,l34_lfuzzy_0,l35_lfuzzy_0,rc1_lattice3,rc1_lfuzzy_0,rc1_membered,rc1_subset_1,rc1_waybel_3,rc1_xreal_0,rc1_yellow14,rc2_lattice3,rc2_subset_1,rc2_waybel_3,rc2_xreal_0,rc3_struct_0,rc3_xreal_0,rc4_xreal_0,rc5_struct_0,redefinition_k12_lattice3,redefinition_k1_domain_1,redefinition_k2_seq_1,redefinition_k4_relset_1,redefinition_k5_numbers,redefinition_k7_lfuzzy_0,redefinition_m2_relset_1,reflexivity_r1_tarski,s5_lfuzzy_0__e9_63_1__lfuzzy_0,spc0_boole,spc1_boole,spc1_numerals,t1_numerals,t1_subset,t22_lfuzzy_0,t2_subset,t2_tarski,t3_subset,t4_subset,t5_subset,t6_boole,t6_funct_3,t7_boole,t8_boole]),
    [file(lfuzzy_0,t23_lfuzzy_0)]).

fof(abstractness_v1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(A)
       => A = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) ),
    file(orders_2,v1_orders_2),
    []).

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

fof(cc10_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_lfuzzy_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A)
          & v16_waybel_0(A)
          & v24_waybel_0(A)
          & ~ v1_yellow_3(A)
          & v1_waybel_2(A)
          & v2_waybel_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A)
          & v2_waybel_1(A)
          & v9_waybel_1(A)
          & v2_waybel_3(A)
          & v1_lfuzzy_0(A)
          & v2_lfuzzy_0(A) ) ) ) ),
    file(lfuzzy_0,cc10_lfuzzy_0),
    []).

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_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_lattice3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(lattice3,cc1_lattice3),
    []).

fof(cc1_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v2_lfuzzy_0(A)
       => ( ~ v3_struct_0(A)
          & v1_lfuzzy_0(A) ) ) ) ),
    file(lfuzzy_0,cc1_lfuzzy_0),
    []).

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

fof(cc1_orders_4,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A) ) ) ) ),
    file(orders_4,cc1_orders_4),
    []).

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_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v16_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A) ) ) ) ),
    file(waybel_2,cc1_waybel_2),
    []).

fof(cc1_waybel_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v16_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_waybel_0(B,A)
            & v2_waybel_0(B,A) ) ) ) ),
    file(waybel_3,cc1_waybel_3),
    []).

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

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

fof(cc2_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v2_lattice3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(lattice3,cc2_lattice3),
    []).

fof(cc2_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => v1_lfuzzy_0(A) ) ) ),
    file(lfuzzy_0,cc2_lfuzzy_0),
    []).

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

fof(cc2_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_yellow_0(A)
          & v16_waybel_0(A)
          & v24_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A)
          & v16_waybel_0(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A) ) ) ) ),
    file(waybel_3,cc2_waybel_3),
    []).

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

fof(cc3_lfuzzy_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_lfuzzy_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(lfuzzy_0,cc3_lfuzzy_0),
    []).

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

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

fof(cc3_yellow14,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => ( v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(yellow14,cc3_yellow14),
    []).

fof(cc4_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_lfuzzy_0(A)
       => ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A) ) ) ) ),
    file(lfuzzy_0,cc4_lfuzzy_0),
    []).

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

fof(cc4_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v2_waybel_2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & ~ v1_yellow_3(A)
          & v1_waybel_2(A) ) ) ) ),
    file(waybel_2,cc4_waybel_2),
    []).

fof(cc4_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_waybel_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A) ) ) ) ),
    file(waybel_3,cc4_waybel_3),
    []).

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

fof(cc5_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v1_lfuzzy_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v16_waybel_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v1_lfuzzy_0(A) ) ) ) ),
    file(lfuzzy_0,cc5_lfuzzy_0),
    []).

fof(cc5_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v1_waybel_2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & ~ v1_yellow_3(A)
          & v2_waybel_2(A) ) ) ) ),
    file(waybel_2,cc5_waybel_2),
    []).

fof(cc5_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v3_waybel_3(A) ) ) ) ),
    file(waybel_3,cc5_waybel_3),
    []).

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

fof(cc6_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v1_lfuzzy_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v16_waybel_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v1_lfuzzy_0(A) ) ) ) ),
    file(lfuzzy_0,cc6_lfuzzy_0),
    []).

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

fof(cc6_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A)
          & v9_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v24_waybel_0(A)
          & ~ v1_yellow_3(A)
          & v2_waybel_1(A)
          & v1_waybel_2(A)
          & v2_waybel_2(A) ) ) ) ),
    file(waybel_2,cc6_waybel_2),
    []).

fof(cc6_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A)
          & v16_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v16_waybel_0(A)
          & v2_waybel_3(A) ) ) ) ),
    file(waybel_3,cc6_waybel_3),
    []).

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

fof(cc7_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_lfuzzy_0(A) )
       => ( ~ v3_struct_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(lfuzzy_0,cc7_lfuzzy_0),
    []).

fof(cc7_waybel_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A)
          & v2_waybel_1(A)
          & v2_waybel_2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & ~ v1_yellow_3(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_waybel_1(A)
          & v9_waybel_1(A) ) ) ) ),
    file(waybel_2,cc7_waybel_2),
    []).

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

fof(cc8_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_lfuzzy_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_yellow_0(A)
          & v16_waybel_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A)
          & v2_waybel_3(A)
          & v1_lfuzzy_0(A)
          & v2_lfuzzy_0(A) ) ) ) ),
    file(lfuzzy_0,cc8_lfuzzy_0),
    []).

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

fof(cc9_lfuzzy_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v16_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v16_waybel_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_waybel_1(A) ) ) ) ),
    file(lfuzzy_0,cc9_lfuzzy_0),
    []).

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

fof(commutativity_k12_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k12_lattice3(A,B,C) = k12_lattice3(A,C,B) ) ),
    file(lattice3,k12_lattice3),
    []).

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

fof(d1_fuzzy_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( v1_funct_1(B)
            & m2_relset_1(B,A,k1_numbers) )
         => ( m1_fuzzy_1(B,A)
          <=> ( k4_relset_1(A,k1_numbers,B) = A
              & r1_tarski(k2_relat_1(B),k1_rcomp_1(0,1)) ) ) ) ) ),
    file(fuzzy_1,d1_fuzzy_1),
    []).

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

fof(dt_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ( v1_orders_2(g1_orders_2(A,B))
        & l1_orders_2(g1_orders_2(A,B)) ) ) ),
    file(orders_2,g1_orders_2),
    []).

fof(dt_k11_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k11_lattice3(A,B,C),u1_struct_0(A)) ) ),
    file(lattice3,k11_lattice3),
    []).

fof(dt_k12_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k12_lattice3(A,B,C),u1_struct_0(A)) ) ),
    file(lattice3,k12_lattice3),
    []).

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_lfuzzy_0,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
     => ( v1_orders_2(k1_lfuzzy_0(A))
        & v1_lfuzzy_0(k1_lfuzzy_0(A))
        & l1_orders_2(k1_lfuzzy_0(A)) ) ) ),
    file(lfuzzy_0,k1_lfuzzy_0),
    []).

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

fof(dt_k1_rcomp_1,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => m1_subset_1(k1_rcomp_1(A,B),k1_zfmisc_1(k1_numbers)) ) ),
    file(rcomp_1,k1_rcomp_1),
    []).

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_yellow_0,axiom,(
    ! [A,B] : 
      ( l1_orders_2(A)
     => m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A)) ) ),
    file(yellow_0,k1_yellow_0),
    []).

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

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

fof(dt_k2_seq_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v2_membered(B)
        & v1_funct_1(C)
        & m1_relset_1(C,A,B) )
     => m1_subset_1(k2_seq_1(A,B,C,D),k1_numbers) ) ),
    file(seq_1,k2_seq_1),
    []).

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_fuzzy_4,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & m1_fuzzy_1(D,k2_zfmisc_1(A,B))
        & m1_fuzzy_1(E,k2_zfmisc_1(B,C)) )
     => m1_fuzzy_1(k3_fuzzy_4(A,B,C,D,E),k2_zfmisc_1(A,C)) ) ),
    file(fuzzy_4,k3_fuzzy_4),
    []).

fof(dt_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(dt_k4_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_k7_lfuzzy_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_fuzzy_1(B,A)
        & m1_subset_1(C,A) )
     => m1_subset_1(k7_lfuzzy_0(A,B,C),u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))) ) ),
    file(lfuzzy_0,k7_lfuzzy_0),
    []).

fof(dt_l1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => l1_struct_0(A) ) ),
    file(orders_2,l1_orders_2),
    []).

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

fof(dt_m1_fuzzy_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_fuzzy_1(B,A)
         => ( v1_funct_1(B)
            & m2_relset_1(B,A,k1_numbers) ) ) ) ),
    file(fuzzy_1,m1_fuzzy_1),
    []).

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_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ),
    file(orders_2,u1_orders_2),
    []).

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

fof(existence_l1_orders_2,axiom,(
    ? [A] : l1_orders_2(A) ),
    file(orders_2,l1_orders_2),
    []).

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

fof(existence_m1_fuzzy_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : m1_fuzzy_1(B,A) ) ),
    file(fuzzy_1,m1_fuzzy_1),
    []).

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

fof(existence_m1_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(fc11_membered,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A))
        & v5_membered(k1_tarski(A)) ) ) ),
    file(membered,fc11_membered),
    []).

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

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

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

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

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

fof(fc1_lfuzzy_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(A,k1_zfmisc_1(k1_numbers)) )
     => ( ~ v3_struct_0(k1_lfuzzy_0(A))
        & v1_orders_2(k1_lfuzzy_0(A))
        & v1_lfuzzy_0(k1_lfuzzy_0(A)) ) ) ),
    file(lfuzzy_0,fc1_lfuzzy_0),
    []).

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

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

fof(fc2_lfuzzy_0,axiom,
    ( ~ v1_xboole_0(k1_rcomp_1(0,1))
    & v1_membered(k1_rcomp_1(0,1))
    & v2_membered(k1_rcomp_1(0,1)) ),
    file(lfuzzy_0,fc2_lfuzzy_0),
    []).

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(fc3_lfuzzy_0,axiom,
    ( ~ v3_struct_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v1_orders_2(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v2_orders_2(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v3_orders_2(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v4_orders_2(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v2_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v3_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v16_waybel_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v24_waybel_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & ~ v1_yellow_3(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v1_waybel_2(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v2_waybel_2(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v1_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v2_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v3_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v2_waybel_1(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v9_waybel_1(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v2_waybel_3(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v1_lfuzzy_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))
    & v2_lfuzzy_0(k1_lfuzzy_0(k1_rcomp_1(0,1))) ),
    file(lfuzzy_0,fc3_lfuzzy_0),
    []).

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

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

fof(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(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_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(fraenkel_a_10_0_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J,K] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & ~ v1_xboole_0(E)
        & m1_fuzzy_1(F,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(G,k2_zfmisc_1(C,D))
        & m1_fuzzy_1(H,k2_zfmisc_1(D,E))
        & m1_subset_1(I,B)
        & m1_subset_1(J,E)
        & m1_subset_1(K,D) )
     => ( r2_hidden(A,a_10_0_lfuzzy_0(B,C,D,E,F,G,H,I,J,K))
      <=> ? [L] : 
            ( m1_subset_1(L,C)
            & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(B,C),F,k1_domain_1(B,C,I,L)),k7_lfuzzy_0(k2_zfmisc_1(C,D),G,k1_domain_1(C,D,L,K))),k7_lfuzzy_0(k2_zfmisc_1(D,E),H,k1_domain_1(D,E,K,J))) ) ) ) ),
    file(lfuzzy_0,a_10_0_lfuzzy_0),
    []).

fof(fraenkel_a_10_1_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J,K] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & ~ v1_xboole_0(E)
        & m1_fuzzy_1(F,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(G,k2_zfmisc_1(C,D))
        & m1_fuzzy_1(H,k2_zfmisc_1(D,E))
        & m1_subset_1(I,B)
        & m1_subset_1(J,E)
        & m1_subset_1(K,C) )
     => ( r2_hidden(A,a_10_1_lfuzzy_0(B,C,D,E,F,G,H,I,J,K))
      <=> ? [L] : 
            ( m1_subset_1(L,D)
            & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(B,C),F,k1_domain_1(B,C,I,K)),k7_lfuzzy_0(k2_zfmisc_1(C,D),G,k1_domain_1(C,D,K,L))),k7_lfuzzy_0(k2_zfmisc_1(D,E),H,k1_domain_1(D,E,L,J))) ) ) ) ),
    file(lfuzzy_0,a_10_1_lfuzzy_0),
    []).

fof(fraenkel_a_7_0_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & m1_fuzzy_1(E,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(F,k2_zfmisc_1(C,D))
        & m1_subset_1(G,B)
        & m1_subset_1(H,D) )
     => ( r2_hidden(A,a_7_0_lfuzzy_0(B,C,D,E,F,G,H))
      <=> ? [I] : 
            ( m1_subset_1(I,C)
            & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(B,C),E,k1_domain_1(B,C,G,I)),k7_lfuzzy_0(k2_zfmisc_1(C,D),F,k1_domain_1(C,D,I,H))) ) ) ) ),
    file(lfuzzy_0,a_7_0_lfuzzy_0),
    []).

fof(fraenkel_a_8_0_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & m1_fuzzy_1(E,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(F,k2_zfmisc_1(C,D))
        & m1_subset_1(G,B)
        & m1_subset_1(H,D)
        & m1_subset_1(I,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))) )
     => ( r2_hidden(A,a_8_0_lfuzzy_0(B,C,D,E,F,G,H,I))
      <=> ? [J] : 
            ( m1_subset_1(J,C)
            & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(B,C),E,k1_domain_1(B,C,G,J)),k7_lfuzzy_0(k2_zfmisc_1(C,D),F,k1_domain_1(C,D,J,H))),I) ) ) ) ),
    file(lfuzzy_0,a_8_0_lfuzzy_0),
    []).

fof(fraenkel_a_8_2_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & m1_fuzzy_1(E,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(F,k2_zfmisc_1(C,D))
        & m1_subset_1(G,B)
        & m1_subset_1(H,D)
        & m1_subset_1(I,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))) )
     => ( r2_hidden(A,a_8_2_lfuzzy_0(B,C,D,E,F,G,H,I))
      <=> ? [J] : 
            ( m1_subset_1(J,C)
            & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),I,k7_lfuzzy_0(k2_zfmisc_1(B,C),E,k1_domain_1(B,C,G,J))),k7_lfuzzy_0(k2_zfmisc_1(C,D),F,k1_domain_1(C,D,J,H))) ) ) ) ),
    file(lfuzzy_0,a_8_2_lfuzzy_0),
    []).

fof(fraenkel_a_9_0_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & ~ v1_xboole_0(E)
        & m1_fuzzy_1(F,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(G,k2_zfmisc_1(C,D))
        & m1_fuzzy_1(H,k2_zfmisc_1(D,E))
        & m1_subset_1(I,B)
        & m1_subset_1(J,E) )
     => ( r2_hidden(A,a_9_0_lfuzzy_0(B,C,D,E,F,G,H,I,J))
      <=> ? [K] : 
            ( m1_subset_1(K,D)
            & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(B,D),k3_fuzzy_4(B,C,D,F,G),k1_domain_1(B,D,I,K)),k7_lfuzzy_0(k2_zfmisc_1(D,E),H,k1_domain_1(D,E,K,J))) ) ) ) ),
    file(lfuzzy_0,a_9_0_lfuzzy_0),
    []).

fof(fraenkel_a_9_1_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & ~ v1_xboole_0(E)
        & m1_fuzzy_1(F,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(G,k2_zfmisc_1(C,D))
        & m1_fuzzy_1(H,k2_zfmisc_1(D,E))
        & m1_subset_1(I,B)
        & m1_subset_1(J,E) )
     => ( r2_hidden(A,a_9_1_lfuzzy_0(B,C,D,E,F,G,H,I,J))
      <=> ? [K] : 
            ( m1_subset_1(K,C)
            & A = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(B,C),F,k1_domain_1(B,C,I,K)),k7_lfuzzy_0(k2_zfmisc_1(C,E),k3_fuzzy_4(C,D,E,G,H),k1_domain_1(C,E,K,J))) ) ) ) ),
    file(lfuzzy_0,a_9_1_lfuzzy_0),
    []).

fof(fraenkel_a_9_2_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & ~ v1_xboole_0(E)
        & m1_fuzzy_1(F,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(G,k2_zfmisc_1(C,D))
        & m1_fuzzy_1(H,k2_zfmisc_1(D,E))
        & m1_subset_1(I,B)
        & m1_subset_1(J,E) )
     => ( r2_hidden(A,a_9_2_lfuzzy_0(B,C,D,E,F,G,H,I,J))
      <=> ? [K] : 
            ( m1_subset_1(K,D)
            & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),a_10_0_lfuzzy_0(B,C,D,E,F,G,H,I,J,K)) ) ) ) ),
    file(lfuzzy_0,a_9_2_lfuzzy_0),
    []).

fof(fraenkel_a_9_3_lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I,J] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & ~ v1_xboole_0(E)
        & m1_fuzzy_1(F,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(G,k2_zfmisc_1(C,D))
        & m1_fuzzy_1(H,k2_zfmisc_1(D,E))
        & m1_subset_1(I,B)
        & m1_subset_1(J,E) )
     => ( r2_hidden(A,a_9_3_lfuzzy_0(B,C,D,E,F,G,H,I,J))
      <=> ? [K] : 
            ( m1_subset_1(K,C)
            & A = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),a_10_1_lfuzzy_0(B,C,D,E,F,G,H,I,J,K)) ) ) ) ),
    file(lfuzzy_0,a_9_3_lfuzzy_0),
    []).

fof(free_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ! [C,D] : 
          ( g1_orders_2(A,B) = g1_orders_2(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(orders_2,g1_orders_2),
    []).

fof(l34_lfuzzy_0,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ! [D] : 
                  ( m1_fuzzy_1(D,k2_zfmisc_1(A,B))
                 => ! [E] : 
                      ( m1_fuzzy_1(E,k2_zfmisc_1(B,C))
                     => ! [F] : 
                          ( m1_subset_1(F,A)
                         => ! [G] : 
                              ( m1_subset_1(G,C)
                             => ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(0,1))))
                                 => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,E),k1_domain_1(A,C,F,G)),H) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),a_8_0_lfuzzy_0(A,B,C,D,E,F,G,H)) ) ) ) ) ) ) ) ) ),
    file(lfuzzy_0,l34_lfuzzy_0),
    []).

fof(l35_lfuzzy_0,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ! [D] : 
                  ( m1_fuzzy_1(D,k2_zfmisc_1(A,B))
                 => ! [E] : 
                      ( m1_fuzzy_1(E,k2_zfmisc_1(B,C))
                     => ! [F] : 
                          ( m1_subset_1(F,A)
                         => ! [G] : 
                              ( m1_subset_1(G,C)
                             => ! [H] : 
                                  ( m1_subset_1(H,u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(0,1))))
                                 => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),H,k7_lfuzzy_0(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,E),k1_domain_1(A,C,F,G))) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),a_8_2_lfuzzy_0(A,B,C,D,E,F,G,H)) ) ) ) ) ) ) ) ) ),
    file(lfuzzy_0,l35_lfuzzy_0),
    []).

fof(rc1_lattice3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v3_lattice3(A) ) ),
    file(lattice3,rc1_lattice3),
    []).

fof(rc1_lfuzzy_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v1_lfuzzy_0(A)
      & v2_lfuzzy_0(A) ) ),
    file(lfuzzy_0,rc1_lfuzzy_0),
    []).

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(rc1_waybel_3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v16_waybel_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A) ) ),
    file(waybel_3,rc1_waybel_3),
    []).

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

fof(rc1_yellow14,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & v3_struct_0(A)
      & v1_orders_2(A) ) ),
    file(yellow14,rc1_yellow14),
    []).

fof(rc2_lattice3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A) ) ),
    file(lattice3,rc2_lattice3),
    []).

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(rc2_waybel_3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & v2_waybel_3(A)
      & v3_waybel_3(A) ) ),
    file(waybel_3,rc2_waybel_3),
    []).

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

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

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

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

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

fof(redefinition_k12_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k12_lattice3(A,B,C) = k11_lattice3(A,B,C) ) ),
    file(lattice3,k12_lattice3),
    []).

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_seq_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v2_membered(B)
        & v1_funct_1(C)
        & m1_relset_1(C,A,B) )
     => k2_seq_1(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(seq_1,k2_seq_1),
    []).

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

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

fof(redefinition_k7_lfuzzy_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_fuzzy_1(B,A)
        & m1_subset_1(C,A) )
     => k7_lfuzzy_0(A,B,C) = k1_funct_1(B,C) ) ),
    file(lfuzzy_0,k7_lfuzzy_0),
    []).

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

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

fof(s5_lfuzzy_0__e9_63_1__lfuzzy_0,axiom,(
    ! [A,B,C,D,E,F,G,H,I] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & ~ v1_xboole_0(D)
        & m1_fuzzy_1(E,k2_zfmisc_1(A,B))
        & m1_fuzzy_1(F,k2_zfmisc_1(B,C))
        & m1_fuzzy_1(G,k2_zfmisc_1(C,D))
        & m1_subset_1(H,A)
        & m1_subset_1(I,D) )
     => ( ! [J] : 
            ( m1_subset_1(J,B)
           => ! [K] : 
                ( m1_subset_1(K,C)
               => k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(A,B),E,k1_domain_1(A,B,H,J)),k7_lfuzzy_0(k2_zfmisc_1(B,C),F,k1_domain_1(B,C,J,K))),k7_lfuzzy_0(k2_zfmisc_1(C,D),G,k1_domain_1(C,D,K,I))) = k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k12_lattice3(k1_lfuzzy_0(k1_rcomp_1(0,1)),k7_lfuzzy_0(k2_zfmisc_1(A,B),E,k1_domain_1(A,B,H,J)),k7_lfuzzy_0(k2_zfmisc_1(B,C),F,k1_domain_1(B,C,J,K))),k7_lfuzzy_0(k2_zfmisc_1(C,D),G,k1_domain_1(C,D,K,I))) ) )
       => k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),a_9_3_lfuzzy_0(A,B,C,D,E,F,G,H,I)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),a_9_2_lfuzzy_0(A,B,C,D,E,F,G,H,I)) ) ) ),
    file(lfuzzy_0,s5_lfuzzy_0__e9_63_1__lfuzzy_0),
    []).

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(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(t22_lfuzzy_0,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ! [D] : 
                  ( m1_fuzzy_1(D,k2_zfmisc_1(A,B))
                 => ! [E] : 
                      ( m1_fuzzy_1(E,k2_zfmisc_1(B,C))
                     => ! [F] : 
                          ( m1_subset_1(F,A)
                         => ! [G] : 
                              ( m1_subset_1(G,C)
                             => k7_lfuzzy_0(k2_zfmisc_1(A,C),k3_fuzzy_4(A,B,C,D,E),k1_domain_1(A,C,F,G)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),a_7_0_lfuzzy_0(A,B,C,D,E,F,G)) ) ) ) ) ) ) ) ),
    file(lfuzzy_0,t22_lfuzzy_0),
    []).

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

fof(t2_tarski,axiom,(
    ! [A,B] : 
      ( ! [C] : 
          ( r2_hidden(C,A)
        <=> r2_hidden(C,B) )
     => A = B ) ),
    file(tarski,t2_tarski),
    []).

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

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

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

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

fof(t6_funct_3,axiom,(
    ! [A,B,C] : 
      ( ( v1_relat_1(C)
        & v1_funct_1(C) )
     => ! [D] : 
          ( ( v1_relat_1(D)
            & v1_funct_1(D) )
         => ( ( k1_relat_1(C) = k2_zfmisc_1(A,B)
              & k1_relat_1(D) = k2_zfmisc_1(A,B)
              & ! [E,F] : 
                  ( ( r2_hidden(E,A)
                    & r2_hidden(F,B) )
                 => k1_funct_1(C,k4_tarski(E,F)) = k1_funct_1(D,k4_tarski(E,F)) ) )
           => C = D ) ) ) ),
    file(funct_3,t6_funct_3),
    []).

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),
    []).