% Mizar problem: t29_lfuzzy_1,lfuzzy_1,1236,76 
fof(t29_lfuzzy_1,conjecture,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_fuzzy_1(B,k2_zfmisc_1(A,A))
         => ! [C] : 
              ( m1_subset_1(C,A)
             => ! [D] : 
                  ( m1_subset_1(D,A)
                 => k7_lfuzzy_0(k2_zfmisc_1(A,A),k5_lfuzzy_1(A,B),k1_domain_1(A,A,C,D)) = k1_yellow_0(k1_lfuzzy_0(k1_rcomp_1(0,1)),k5_card_3(k1_domain_1(A,A,C,D),a_2_0_lfuzzy_1(A,B))) ) ) ) ) ),
    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_lfuzzy_1,cc1_membered,cc1_monoid_0,cc1_nat_1,cc1_relset_1,cc1_seq_1,cc1_waybel_2,cc20_membered,cc2_int_1,cc2_lattice3,cc2_lfuzzy_0,cc2_membered,cc2_nat_1,cc3_int_1,cc3_lfuzzy_0,cc3_membered,cc3_nat_1,cc4_int_1,cc4_lfuzzy_0,cc4_membered,cc4_waybel_2,cc5_lfuzzy_0,cc5_waybel_2,cc6_lfuzzy_0,cc6_membered,cc6_waybel_2,cc7_lfuzzy_0,cc7_waybel_2,cc8_lfuzzy_0,cc9_lfuzzy_0,cc9_membered,commutativity_k2_tarski,connectedness_r1_xreal_0,d11_lfuzzy_1,d3_tarski,d4_lfuzzy_0,d5_tarski,d5_yellow_1,d6_lfuzzy_0,dt_g1_orders_2,dt_k1_domain_1,dt_k1_funct_1,dt_k1_lfuzzy_0,dt_k1_numbers,dt_k1_rcomp_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_yellow_0,dt_k1_zfmisc_1,dt_k2_funcop_1,dt_k2_pre_circ,dt_k2_tarski,dt_k2_zfmisc_1,dt_k3_waybel_3,dt_k4_lfuzzy_0,dt_k4_lfuzzy_1,dt_k4_tarski,dt_k5_card_3,dt_k5_lfuzzy_1,dt_k5_numbers,dt_k5_ordinal2,dt_k5_waybel_3,dt_k5_yellow_1,dt_k6_lfuzzy_0,dt_k6_waybel_3,dt_k6_yellow_1,dt_k7_lfuzzy_0,dt_k7_waybel_3,dt_k8_lfuzzy_0,dt_l1_orders_2,dt_l1_struct_0,dt_m1_fuzzy_1,dt_m1_pboole,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_m2_subset_1,dt_u1_orders_2,dt_u1_struct_0,existence_l1_orders_2,existence_l1_struct_0,existence_m1_fuzzy_1,existence_m1_pboole,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,existence_m2_subset_1,fc10_membered,fc11_membered,fc12_membered,fc13_membered,fc14_membered,fc15_membered,fc16_membered,fc1_lfuzzy_0,fc1_ordinal2,fc1_seq_1,fc1_struct_0,fc1_subset_1,fc1_waybel10,fc1_waybel17,fc2_lfuzzy_0,fc2_membered,fc2_subset_1,fc2_waybel17,fc3_lfuzzy_0,fc3_subset_1,fc4_lfuzzy_0,fc4_ordinal2,fc4_subset_1,fc5_lfuzzy_0,fc5_membered,fc6_membered,fc7_membered,fc8_membered,fc9_membered,fraenkel_a_2_0_lfuzzy_1,free_g1_orders_2,rc1_int_1,rc1_lattice3,rc1_lfuzzy_0,rc1_membered,rc1_monoid_0,rc1_nat_1,rc1_seq_1,rc1_subset_1,rc2_int_1,rc2_lattice3,rc2_nat_1,rc2_subset_1,rc3_nat_1,rc3_struct_0,rc5_struct_0,redefinition_k1_domain_1,redefinition_k2_pre_circ,redefinition_k3_waybel_3,redefinition_k5_numbers,redefinition_k5_waybel_3,redefinition_k6_waybel_3,redefinition_k7_lfuzzy_0,redefinition_k7_waybel_3,redefinition_k8_lfuzzy_0,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_tarski,reflexivity_r1_xreal_0,spc0_boole,spc1_boole,spc1_numerals,t13_funcop_1,t1_numerals,t1_real,t1_subset,t2_real,t2_subset,t2_tarski,t32_waybel_3,t3_real,t3_subset,t4_real,t4_subset,t5_real,t5_subset,t6_boole,t6_real,t7_boole,t7_real,t8_boole,t8_real]),
    [file(lfuzzy_1,t29_lfuzzy_1)]).

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_lfuzzy_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_fuzzy_1(B,A)
         => ( v1_relat_1(B)
            & v1_seq_1(B) ) ) ) ),
    file(lfuzzy_1,cc1_lfuzzy_1),
    []).

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

fof(cc1_monoid_0,axiom,(
    ! [A] : 
      ( ( v1_monoid_0(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v1_relat_1(B)
            & v1_funct_1(B) ) ) ) ),
    file(monoid_0,cc1_monoid_0),
    []).

fof(cc1_nat_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(nat_1,cc1_nat_1),
    []).

fof(cc1_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    []).

fof(cc1_seq_1,axiom,(
    ! [A,B] : 
      ( v2_membered(B)
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( v1_funct_1(C)
           => ( v1_funct_1(C)
              & v1_seq_1(C) ) ) ) ) ),
    file(seq_1,cc1_seq_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(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_int_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_int_1(A) ) ) ),
    file(int_1,cc2_int_1),
    []).

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_nat_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc2_nat_1),
    []).

fof(cc3_int_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_int_1(A) ) ),
    file(int_1,cc3_int_1),
    []).

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_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc3_nat_1),
    []).

fof(cc4_int_1,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(int_1,cc4_int_1),
    []).

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(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(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(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(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(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_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

fof(connectedness_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( r1_xreal_0(A,B)
        | r1_xreal_0(B,A) ) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(d11_lfuzzy_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_fuzzy_1(B,k2_zfmisc_1(A,A))
         => k5_lfuzzy_1(A,B) = k1_yellow_0(k4_lfuzzy_0(k2_zfmisc_1(A,A)),a_2_0_lfuzzy_1(A,B)) ) ) ),
    file(lfuzzy_1,d11_lfuzzy_1),
    []).

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

fof(d4_lfuzzy_0,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => k4_lfuzzy_0(A) = k6_yellow_1(A,k1_lfuzzy_0(k1_rcomp_1(0,1))) ) ),
    file(lfuzzy_0,d4_lfuzzy_0),
    []).

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

fof(d5_yellow_1,axiom,(
    ! [A,B] : 
      ( l1_orders_2(B)
     => k6_yellow_1(A,B) = k5_yellow_1(A,k2_pre_circ(A,B)) ) ),
    file(yellow_1,d5_yellow_1),
    []).

fof(d6_lfuzzy_0,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_fuzzy_1(B,A)
         => k6_lfuzzy_0(A,B) = B ) ) ),
    file(lfuzzy_0,d6_lfuzzy_0),
    []).

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_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_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_funcop_1,axiom,(
    $true ),
    file(funcop_1,k2_funcop_1),
    []).

fof(dt_k2_pre_circ,axiom,(
    ! [A,B] : m1_pboole(k2_pre_circ(A,B),A) ),
    file(pre_circ,k2_pre_circ),
    []).

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_waybel_3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,A) )
     => ( ~ v3_struct_0(k3_waybel_3(A,B,C))
        & l1_orders_2(k3_waybel_3(A,B,C)) ) ) ),
    file(waybel_3,k3_waybel_3),
    []).

fof(dt_k4_lfuzzy_0,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( v2_orders_2(k4_lfuzzy_0(A))
        & v3_orders_2(k4_lfuzzy_0(A))
        & v4_orders_2(k4_lfuzzy_0(A))
        & v1_lattice3(k4_lfuzzy_0(A))
        & v2_lattice3(k4_lfuzzy_0(A))
        & v3_lattice3(k4_lfuzzy_0(A))
        & v9_waybel_1(k4_lfuzzy_0(A))
        & l1_orders_2(k4_lfuzzy_0(A)) ) ) ),
    file(lfuzzy_0,k4_lfuzzy_0),
    []).

fof(dt_k4_lfuzzy_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_fuzzy_1(B,k2_zfmisc_1(A,A))
        & v4_ordinal2(C) )
     => m1_fuzzy_1(k4_lfuzzy_1(A,B,C),k2_zfmisc_1(A,A)) ) ),
    file(lfuzzy_1,k4_lfuzzy_1),
    []).

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

fof(dt_k5_card_3,axiom,(
    $true ),
    file(card_3,k5_card_3),
    []).

fof(dt_k5_lfuzzy_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_fuzzy_1(B,k2_zfmisc_1(A,A)) )
     => m1_fuzzy_1(k5_lfuzzy_1(A,B),k2_zfmisc_1(A,A)) ) ),
    file(lfuzzy_1,k5_lfuzzy_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_k5_waybel_3,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(A,B)))) )
     => m1_subset_1(k5_waybel_3(A,B,C,D),k1_zfmisc_1(u1_struct_0(k3_waybel_3(A,B,C)))) ) ),
    file(waybel_3,k5_waybel_3),
    []).

fof(dt_k5_yellow_1,axiom,(
    ! [A,B] : 
      ( ( v1_yellow_1(B)
        & m1_pboole(B,A) )
     => ( v1_orders_2(k5_yellow_1(A,B))
        & l1_orders_2(k5_yellow_1(A,B)) ) ) ),
    file(yellow_1,k5_yellow_1),
    []).

fof(dt_k6_lfuzzy_0,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_fuzzy_1(B,A) )
     => m1_subset_1(k6_lfuzzy_0(A,B),u1_struct_0(k4_lfuzzy_0(A))) ) ),
    file(lfuzzy_0,k6_lfuzzy_0),
    []).

fof(dt_k6_waybel_3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & v5_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,A) )
     => ( ~ v3_struct_0(k6_waybel_3(A,B,C))
        & v2_orders_2(k6_waybel_3(A,B,C))
        & l1_orders_2(k6_waybel_3(A,B,C)) ) ) ),
    file(waybel_3,k6_waybel_3),
    []).

fof(dt_k6_yellow_1,axiom,(
    ! [A,B] : 
      ( l1_orders_2(B)
     => ( v1_orders_2(k6_yellow_1(A,B))
        & l1_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,k6_yellow_1),
    []).

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_k7_waybel_3,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & v5_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B)))
        & m1_subset_1(D,A) )
     => m1_subset_1(k7_waybel_3(A,B,C,D),u1_struct_0(k6_waybel_3(A,B,D))) ) ),
    file(waybel_3,k7_waybel_3),
    []).

fof(dt_k8_lfuzzy_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A)))
        & m1_subset_1(C,A) )
     => m1_subset_1(k8_lfuzzy_0(A,B,C),u1_struct_0(k1_lfuzzy_0(k1_rcomp_1(0,1)))) ) ),
    file(lfuzzy_0,k8_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_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B) ) ) ),
    file(pboole,m1_pboole),
    []).

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_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_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_pboole,axiom,(
    ! [A] : 
    ? [B] : m1_pboole(B,A) ),
    file(pboole,m1_pboole),
    []).

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(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_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_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_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_seq_1(A) )
     => ( v1_xcmplx_0(k1_funct_1(A,B))
        & v1_xreal_0(k1_funct_1(A,B)) ) ) ),
    file(seq_1,fc1_seq_1),
    []).

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(fc1_waybel10,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( v1_relat_1(k2_funcop_1(A,B))
        & v1_funct_1(k2_funcop_1(A,B))
        & v1_yellow_1(k2_funcop_1(A,B))
        & v4_waybel_3(k2_funcop_1(A,B))
        & v2_pralg_1(k2_funcop_1(A,B)) ) ) ),
    file(waybel10,fc1_waybel10),
    []).

fof(fc1_waybel17,axiom,(
    ! [A,B] : 
      ( ( v2_orders_2(B)
        & l1_orders_2(B) )
     => ( v1_relat_1(k2_funcop_1(A,B))
        & v1_funct_1(k2_funcop_1(A,B))
        & v5_waybel_3(k2_funcop_1(A,B)) ) ) ),
    file(waybel17,fc1_waybel17),
    []).

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(fc2_waybel17,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k6_yellow_1(A,B))
        & v3_lattice3(k6_yellow_1(A,B)) ) ) ),
    file(waybel17,fc2_waybel17),
    []).

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_lfuzzy_0,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & v9_waybel_1(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v2_orders_2(k6_yellow_1(A,B))
        & v3_orders_2(k6_yellow_1(A,B))
        & v4_orders_2(k6_yellow_1(A,B))
        & v2_yellow_0(k6_yellow_1(A,B))
        & v24_waybel_0(k6_yellow_1(A,B))
        & ~ v1_yellow_3(k6_yellow_1(A,B))
        & v1_waybel_2(k6_yellow_1(A,B))
        & v2_waybel_2(k6_yellow_1(A,B))
        & v1_lattice3(k6_yellow_1(A,B))
        & v2_lattice3(k6_yellow_1(A,B))
        & v3_lattice3(k6_yellow_1(A,B))
        & v2_waybel_1(k6_yellow_1(A,B))
        & v9_waybel_1(k6_yellow_1(A,B)) ) ) ),
    file(lfuzzy_0,fc4_lfuzzy_0),
    []).

fof(fc4_ordinal2,axiom,(
    ! [A,B] : 
      ( v3_ordinal1(B)
     => ( v1_relat_1(k2_funcop_1(A,B))
        & v1_funct_1(k2_funcop_1(A,B))
        & v1_ordinal2(k2_funcop_1(A,B)) ) ) ),
    file(ordinal2,fc4_ordinal2),
    []).

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_lfuzzy_0,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v3_struct_0(k4_lfuzzy_0(A))
        & v2_orders_2(k4_lfuzzy_0(A))
        & v3_orders_2(k4_lfuzzy_0(A))
        & v4_orders_2(k4_lfuzzy_0(A))
        & v2_yellow_0(k4_lfuzzy_0(A))
        & v24_waybel_0(k4_lfuzzy_0(A))
        & ~ v1_yellow_3(k4_lfuzzy_0(A))
        & v1_waybel_2(k4_lfuzzy_0(A))
        & v2_waybel_2(k4_lfuzzy_0(A))
        & v1_lattice3(k4_lfuzzy_0(A))
        & v2_lattice3(k4_lfuzzy_0(A))
        & v3_lattice3(k4_lfuzzy_0(A))
        & v2_waybel_1(k4_lfuzzy_0(A))
        & v9_waybel_1(k4_lfuzzy_0(A))
        & v1_monoid_0(k4_lfuzzy_0(A)) ) ) ),
    file(lfuzzy_0,fc5_lfuzzy_0),
    []).

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_2_0_lfuzzy_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & m1_fuzzy_1(C,k2_zfmisc_1(B,B)) )
     => ( r2_hidden(A,a_2_0_lfuzzy_1(B,C))
      <=> ? [D] : 
            ( m2_subset_1(D,k1_numbers,k5_numbers)
            & A = k4_lfuzzy_1(B,C,D)
            & ~ r1_xreal_0(D,0) ) ) ) ),
    file(lfuzzy_1,a_2_0_lfuzzy_1),
    []).

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(rc1_int_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k1_numbers)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A) ) ),
    file(int_1,rc1_int_1),
    []).

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_monoid_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & v1_monoid_0(A) ) ),
    file(monoid_0,rc1_monoid_0),
    []).

fof(rc1_nat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc1_nat_1),
    []).

fof(rc1_seq_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_seq_1(A) ) ),
    file(seq_1,rc1_seq_1),
    []).

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

fof(rc2_int_1,axiom,(
    ? [A] : v1_int_1(A) ),
    file(int_1,rc2_int_1),
    []).

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_nat_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
      & ~ v1_xboole_0(A)
      & v3_ordinal1(A) ) ),
    file(nat_1,rc2_nat_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_nat_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k5_numbers)
      & ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc3_nat_1),
    []).

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

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

fof(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_pre_circ,axiom,(
    ! [A,B] : k2_pre_circ(A,B) = k2_funcop_1(A,B) ),
    file(pre_circ,k2_pre_circ),
    []).

fof(redefinition_k3_waybel_3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,A) )
     => k3_waybel_3(A,B,C) = k1_funct_1(B,C) ) ),
    file(waybel_3,k3_waybel_3),
    []).

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

fof(redefinition_k5_waybel_3,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,A)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_yellow_1(A,B)))) )
     => k5_waybel_3(A,B,C,D) = k5_card_3(C,D) ) ),
    file(waybel_3,k5_waybel_3),
    []).

fof(redefinition_k6_waybel_3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & v5_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,A) )
     => k6_waybel_3(A,B,C) = k1_funct_1(B,C) ) ),
    file(waybel_3,k6_waybel_3),
    []).

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_k7_waybel_3,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_yellow_1(B)
        & v4_waybel_3(B)
        & v5_waybel_3(B)
        & m1_pboole(B,A)
        & m1_subset_1(C,u1_struct_0(k5_yellow_1(A,B)))
        & m1_subset_1(D,A) )
     => k7_waybel_3(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(waybel_3,k7_waybel_3),
    []).

fof(redefinition_k8_lfuzzy_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,u1_struct_0(k4_lfuzzy_0(A)))
        & m1_subset_1(C,A) )
     => k8_lfuzzy_0(A,B,C) = k1_funct_1(B,C) ) ),
    file(lfuzzy_0,k8_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(redefinition_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    []).

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

fof(reflexivity_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_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(t13_funcop_1,axiom,(
    ! [A,B,C] : 
      ( r2_hidden(B,A)
     => k1_funct_1(k2_funcop_1(A,C),B) = C ) ),
    file(funcop_1,t13_funcop_1),
    []).

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

fof(t1_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v2_xreal_0(A) )
           => v2_xreal_0(B) ) ) ) ),
    file(real,t1_real),
    []).

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

fof(t2_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v3_xreal_0(B) )
           => v3_xreal_0(A) ) ) ) ),
    file(real,t2_real),
    []).

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(t32_waybel_3,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( v1_yellow_1(B)
            & v4_waybel_3(B)
            & v5_waybel_3(B)
            & m1_pboole(B,A) )
         => ( ! [C] : 
                ( m1_subset_1(C,A)
               => ( v2_orders_2(k6_waybel_3(A,B,C))
                  & v3_orders_2(k6_waybel_3(A,B,C))
                  & v4_orders_2(k6_waybel_3(A,B,C))
                  & v1_lattice3(k6_waybel_3(A,B,C))
                  & v2_lattice3(k6_waybel_3(A,B,C))
                  & v3_lattice3(k6_waybel_3(A,B,C))
                  & l1_orders_2(k6_waybel_3(A,B,C)) ) )
           => ! [C] : 
                ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k5_yellow_1(A,B))))
               => ! [D] : 
                    ( m1_subset_1(D,A)
                   => k7_waybel_3(A,B,k1_yellow_0(k5_yellow_1(A,B),C),D) = k1_yellow_0(k3_waybel_3(A,B,D),k5_waybel_3(A,B,D,C)) ) ) ) ) ) ),
    file(waybel_3,t32_waybel_3),
    []).

fof(t3_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v3_xreal_0(A)
              & v3_xreal_0(B) ) ) ) ),
    file(real,t3_real),
    []).

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

fof(t4_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v2_xreal_0(B)
              & v2_xreal_0(A) ) ) ) ),
    file(real,t4_real),
    []).

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_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(B)
              | v3_xreal_0(A)
              | v2_xreal_0(B) ) ) ) ) ),
    file(real,t5_real),
    []).

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_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(A)
              | v2_xreal_0(B)
              | v3_xreal_0(A) ) ) ) ) ),
    file(real,t6_real),
    []).

fof(t7_boole,axiom,(
    ! [A,B] : ~ ( r2_hidden(A,B)
      & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    []).

fof(t7_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v2_xreal_0(A)
              & ~ v3_xreal_0(B) ) ) ) ),
    file(real,t7_real),
    []).

fof(t8_boole,axiom,(
    ! [A,B] : ~ ( v1_xboole_0(A)
      & A != B
      & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    []).

fof(t8_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v3_xreal_0(B)
              & ~ v2_xreal_0(A) ) ) ) ),
    file(real,t8_real),
    []).