% Mizar problem: t15_waybel22,waybel22,1293,60 
fof(t15_waybel22,conjecture,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v3_lattice3(B)
        & v3_waybel_3(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B))
            & m2_relset_1(C,k1_waybel22(A),u1_struct_0(B)) )
         => ! [D] : 
              ( m1_waybel16(D,k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B)
             => ( k7_relat_1(D,k1_waybel22(A)) = C
               => D = k2_waybel22(A,B,C) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,abstractness_v3_lattices,antisymmetry_r2_hidden,cc10_waybel_0,cc11_waybel_0,cc12_waybel_0,cc13_waybel_0,cc14_waybel_0,cc1_funct_1,cc1_lattice3,cc1_relset_1,cc1_setfam_1,cc1_waybel22,cc1_waybel_8,cc1_yellow_0,cc1_yellow_7,cc2_funct_1,cc2_lattice3,cc2_waybel_5,cc2_waybel_8,cc2_yellow_0,cc3_waybel_5,cc3_waybel_8,cc3_yellow_0,cc4_waybel_5,cc4_waybel_8,cc4_yellow_0,cc5_waybel_0,cc5_yellow_0,cc6_waybel_0,cc9_waybel_0,commutativity_k2_xboole_0,commutativity_k3_xboole_0,commutativity_k4_subset_1,commutativity_k5_subset_1,d12_yellow_0,d18_waybel_0,d1_lattice3,d1_waybel16,d1_waybel_0,d1_xboole_0,d1_yellow_1,d24_waybel_0,d2_lattice3,d2_waybel22,d2_waybel_0,d2_yellow_1,d30_waybel_0,d31_waybel_0,d32_waybel_0,d37_waybel_0,d3_tarski,d3_waybel22,dt_g1_orders_2,dt_g3_lattices,dt_k1_binop_1,dt_k1_funct_1,dt_k1_lattice3,dt_k1_setfam_1,dt_k1_struct_0,dt_k1_tarski,dt_k1_waybel22,dt_k1_waybel_0,dt_k1_wellord2,dt_k1_xboole_0,dt_k1_yellow_0,dt_k1_yellow_1,dt_k1_zfmisc_1,dt_k2_funct_2,dt_k2_lattice3,dt_k2_waybel22,dt_k2_xboole_0,dt_k2_yellow_0,dt_k2_yellow_1,dt_k2_zfmisc_1,dt_k3_lattice3,dt_k3_xboole_0,dt_k3_yellow_1,dt_k4_pre_topc,dt_k4_subset_1,dt_k4_yellow_0,dt_k5_subset_1,dt_k5_waybel_0,dt_k7_relat_1,dt_k7_waybel_0,dt_k9_filter_1,dt_k9_relat_1,dt_k9_waybel_0,dt_l1_lattices,dt_l1_orders_2,dt_l1_struct_0,dt_l2_lattices,dt_l3_lattices,dt_m1_relset_1,dt_m1_struct_0,dt_m1_subset_1,dt_m1_waybel16,dt_m2_relset_1,dt_u1_lattices,dt_u1_orders_2,dt_u1_struct_0,dt_u2_lattices,existence_l1_lattices,existence_l1_orders_2,existence_l1_struct_0,existence_l2_lattices,existence_l3_lattices,existence_m1_relset_1,existence_m1_struct_0,existence_m1_subset_1,existence_m1_waybel16,existence_m2_relset_1,fc10_waybel_0,fc10_waybel_8,fc11_waybel_8,fc12_waybel_0,fc12_waybel_8,fc14_waybel_0,fc14_waybel_8,fc17_waybel_0,fc1_lattice3,fc1_struct_0,fc1_subset_1,fc1_waybel16,fc1_waybel22,fc1_xboole_0,fc1_yellow_0,fc2_lattice3,fc2_setfam_1,fc2_subset_1,fc2_waybel16,fc2_waybel22,fc2_xboole_0,fc3_lattice3,fc3_waybel22,fc3_xboole_0,fc4_funct_1,fc4_lattice3,fc4_setfam_1,fc4_subset_1,fc4_waybel_8,fc5_waybel_8,fc6_waybel_8,fc7_waybel_8,fc8_waybel_0,fc8_waybel_8,fc9_waybel_8,fraenkel_a_1_1_waybel22,fraenkel_a_1_1_waybel_0,fraenkel_a_2_3_waybel22,fraenkel_a_2_4_waybel22,fraenkel_a_2_5_waybel22,fraenkel_a_3_0_waybel22,fraenkel_a_4_0_waybel22,fraenkel_a_4_1_waybel22,fraenkel_a_4_7_waybel22,free_g1_orders_2,free_g3_lattices,idempotence_k2_xboole_0,idempotence_k3_xboole_0,idempotence_k4_subset_1,idempotence_k5_subset_1,rc10_waybel_0,rc12_waybel_0,rc13_waybel_0,rc1_funct_1,rc1_lattice3,rc1_setfam_1,rc1_subset_1,rc1_waybel_0,rc1_waybel_5,rc1_xboole_0,rc1_yellow_0,rc1_yellow_7,rc2_funct_1,rc2_lattice3,rc2_subset_1,rc2_xboole_0,rc2_yellow_0,rc3_funct_1,rc3_struct_0,rc5_struct_0,redefinition_k1_struct_0,redefinition_k1_waybel_0,redefinition_k1_yellow_1,redefinition_k2_funct_2,redefinition_k2_lattice3,redefinition_k4_pre_topc,redefinition_k4_subset_1,redefinition_k5_subset_1,redefinition_m1_struct_0,redefinition_m2_relset_1,redefinition_r3_orders_2,reflexivity_r1_tarski,reflexivity_r3_orders_2,t10_waybel16,t113_funct_2,t115_funct_2,t11_waybel22,t17_yellow_0,t1_boole,t1_subset,t2_boole,t2_subset,t2_tarski,t2_yellow_1,t3_subset,t3_yellow_1,t43_funct_2,t45_yellow_0,t4_subset,t5_subset,t6_boole,t72_funct_1,t7_boole,t7_setfam_1,t8_boole]),
    [file(waybel22,t15_waybel22)]).

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(abstractness_v3_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( v3_lattices(A)
       => A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ) ),
    file(lattices,v3_lattices),
    []).

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

fof(cc10_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A) ) ) ) ),
    file(waybel_0,cc10_waybel_0),
    []).

fof(cc11_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v1_yellow_0(A) ) ) ) ),
    file(waybel_0,cc11_waybel_0),
    []).

fof(cc12_waybel_0,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)
          & v1_yellow_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) ) ) ) ),
    file(waybel_0,cc12_waybel_0),
    []).

fof(cc13_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_lattice3(A) ) ) ) ),
    file(waybel_0,cc13_waybel_0),
    []).

fof(cc14_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_yellow_0(A) ) ) ) ),
    file(waybel_0,cc14_waybel_0),
    []).

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

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

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_setfam_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_setfam_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(setfam_1,cc1_setfam_1),
    []).

fof(cc1_waybel22,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k2_yellow_1(k9_waybel_0(A))))
         => ~ v1_xboole_0(B) ) ) ),
    file(waybel22,cc1_waybel22),
    []).

fof(cc1_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_waybel_8(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A)
          & v3_waybel_3(A) ) ) ) ),
    file(waybel_8,cc1_waybel_8),
    []).

fof(cc1_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A) ) ) ) ),
    file(yellow_0,cc1_yellow_0),
    []).

fof(cc1_yellow_7,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v1_waybel_5(A) )
       => ( ~ v3_struct_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(yellow_7,cc1_yellow_7),
    []).

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

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

fof(cc2_waybel_5,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_waybel_5(A) ) ) ) ),
    file(waybel_5,cc2_waybel_5),
    []).

fof(cc2_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v2_waybel_8(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v24_waybel_0(A)
          & v1_waybel_8(A) ) ) ) ),
    file(waybel_8,cc2_waybel_8),
    []).

fof(cc2_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A) ) ) ) ),
    file(yellow_0,cc2_yellow_0),
    []).

fof(cc3_waybel_5,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v1_waybel_5(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)
          & v24_waybel_0(A)
          & v25_waybel_0(A)
          & v2_waybel_3(A)
          & v3_waybel_3(A) ) ) ) ),
    file(waybel_5,cc3_waybel_5),
    []).

fof(cc3_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_waybel_8(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A)
          & v3_waybel_3(A)
          & v1_waybel_8(A)
          & v2_waybel_8(A) ) ) ) ),
    file(waybel_8,cc3_waybel_8),
    []).

fof(cc3_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(yellow_0,cc3_yellow_0),
    []).

fof(cc4_waybel_5,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v1_waybel_5(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v9_waybel_1(A) ) ) ) ),
    file(waybel_5,cc4_waybel_5),
    []).

fof(cc4_waybel_8,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A)
          & v3_waybel_3(A)
          & v1_waybel_8(A)
          & v2_waybel_8(A)
          & v3_waybel_8(A) ) ) ) ),
    file(waybel_8,cc4_waybel_8),
    []).

fof(cc4_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_yellow_0(A)
       => ( v1_yellow_0(A)
          & v2_yellow_0(A) ) ) ) ),
    file(yellow_0,cc4_yellow_0),
    []).

fof(cc5_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v16_waybel_0(A) ) ) ) ),
    file(waybel_0,cc5_waybel_0),
    []).

fof(cc5_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v1_yellow_0(A)
          & v2_yellow_0(A) )
       => v3_yellow_0(A) ) ) ),
    file(yellow_0,cc5_yellow_0),
    []).

fof(cc6_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v17_waybel_0(C,A,B) )
           => ( v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v19_waybel_0(C,A,B)
              & v21_waybel_0(C,A,B) ) ) ) ) ),
    file(waybel_0,cc6_waybel_0),
    []).

fof(cc9_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v1_lattice3(A)
          & v24_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v1_lattice3(A)
          & v2_yellow_0(A) ) ) ) ),
    file(waybel_0,cc9_waybel_0),
    []).

fof(commutativity_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    []).

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

fof(commutativity_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,C) = k4_subset_1(A,C,B) ) ),
    file(subset_1,k4_subset_1),
    []).

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

fof(d12_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => k4_yellow_0(A) = k2_yellow_0(A,k1_xboole_0) ) ),
    file(yellow_0,d12_yellow_0),
    []).

fof(d18_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => k7_waybel_0(A,B) = k5_waybel_0(A,k1_struct_0(A,B)) ) ) ),
    file(waybel_0,d18_waybel_0),
    []).

fof(d1_lattice3,axiom,(
    ! [A,B] : 
      ( ( v3_lattices(B)
        & l3_lattices(B) )
     => ( B = k1_lattice3(A)
      <=> ( u1_struct_0(B) = k1_zfmisc_1(A)
          & ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(A))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(A))
                 => ( k1_binop_1(u2_lattices(B),C,D) = k4_subset_1(A,C,D)
                    & k1_binop_1(u1_lattices(B),C,D) = k5_subset_1(A,C,D) ) ) ) ) ) ) ),
    file(lattice3,d1_lattice3),
    []).

fof(d1_waybel16,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v3_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v3_lattice3(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( m1_waybel16(C,A,B)
              <=> ( v22_waybel_0(C,A,B)
                  & v17_waybel_0(C,A,B) ) ) ) ) ) ),
    file(waybel16,d1_waybel16),
    []).

fof(d1_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_waybel_0(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ~ ( r2_hidden(C,B)
                        & r2_hidden(D,B)
                        & ! [E] : 
                            ( m1_subset_1(E,u1_struct_0(A))
                           => ~ ( r2_hidden(E,B)
                                & r1_orders_2(A,C,E)
                                & r1_orders_2(A,D,E) ) ) ) ) ) ) ) ) ),
    file(waybel_0,d1_waybel_0),
    []).

fof(d1_xboole_0,axiom,(
    ! [A] : 
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ) ),
    file(xboole_0,d1_xboole_0),
    []).

fof(d1_yellow_1,axiom,(
    ! [A] : k2_yellow_1(A) = g1_orders_2(A,k1_yellow_1(A)) ),
    file(yellow_1,d1_yellow_1),
    []).

fof(d24_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & l1_orders_2(A) )
     => k9_waybel_0(A) = a_1_1_waybel_0(A) ) ),
    file(waybel_0,d24_waybel_0),
    []).

fof(d2_lattice3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => k3_lattice3(A) = g1_orders_2(u1_struct_0(A),k2_lattice3(A)) ) ),
    file(lattice3,d2_lattice3),
    []).

fof(d2_waybel22,axiom,(
    ! [A] : k1_waybel22(A) = a_1_1_waybel22(A) ),
    file(waybel22,d2_waybel22),
    []).

fof(d2_waybel_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v2_waybel_0(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ~ ( r2_hidden(C,B)
                        & r2_hidden(D,B)
                        & ! [E] : 
                            ( m1_subset_1(E,u1_struct_0(A))
                           => ~ ( r2_hidden(E,B)
                                & r1_orders_2(A,E,C)
                                & r1_orders_2(A,E,D) ) ) ) ) ) ) ) ) ),
    file(waybel_0,d2_waybel_0),
    []).

fof(d2_yellow_1,axiom,(
    ! [A] : k3_yellow_1(A) = k3_lattice3(k1_lattice3(A)) ),
    file(yellow_1,d2_yellow_1),
    []).

fof(d30_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ( r3_waybel_0(A,B,C,D)
                  <=> ( r2_yellow_0(A,D)
                     => ( r2_yellow_0(B,k4_pre_topc(A,B,C,D))
                        & k2_yellow_0(B,k4_pre_topc(A,B,C,D)) = k1_waybel_0(A,B,C,k2_yellow_0(A,D)) ) ) ) ) ) ) ) ),
    file(waybel_0,d30_waybel_0),
    []).

fof(d31_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ( r4_waybel_0(A,B,C,D)
                  <=> ( r1_yellow_0(A,D)
                     => ( r1_yellow_0(B,k4_pre_topc(A,B,C,D))
                        & k1_yellow_0(B,k4_pre_topc(A,B,C,D)) = k1_waybel_0(A,B,C,k1_yellow_0(A,D)) ) ) ) ) ) ) ) ),
    file(waybel_0,d31_waybel_0),
    []).

fof(d32_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v17_waybel_0(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                   => r3_waybel_0(A,B,C,D) ) ) ) ) ) ),
    file(waybel_0,d32_waybel_0),
    []).

fof(d37_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v22_waybel_0(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                   => ( v1_waybel_0(D,A)
                     => ( v1_xboole_0(D)
                        | r4_waybel_0(A,B,C,D) ) ) ) ) ) ) ) ),
    file(waybel_0,d37_waybel_0),
    []).

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

fof(d3_waybel22,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v3_lattice3(B)
        & v3_waybel_3(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B))
            & m2_relset_1(C,k1_waybel22(A),u1_struct_0(B)) )
         => ! [D] : 
              ( ( v1_funct_1(D)
                & v1_funct_2(D,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))),u1_struct_0(B))
                & m2_relset_1(D,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))),u1_struct_0(B)) )
             => ( D = k2_waybel22(A,B,C)
              <=> ! [E] : 
                    ( m1_subset_1(E,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))))
                   => k1_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B,D,E) = k1_yellow_0(B,a_4_0_waybel22(A,B,C,E)) ) ) ) ) ) ),
    file(waybel22,d3_waybel22),
    []).

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_g3_lattices,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
     => ( v3_lattices(g3_lattices(A,B,C))
        & l3_lattices(g3_lattices(A,B,C)) ) ) ),
    file(lattices,g3_lattices),
    []).

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_lattice3,axiom,(
    ! [A] : 
      ( v3_lattices(k1_lattice3(A))
      & l3_lattices(k1_lattice3(A)) ) ),
    file(lattice3,k1_lattice3),
    []).

fof(dt_k1_setfam_1,axiom,(
    $true ),
    file(setfam_1,k1_setfam_1),
    []).

fof(dt_k1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(struct_0,k1_struct_0),
    []).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

fof(dt_k1_waybel22,axiom,(
    ! [A] : m1_subset_1(k1_waybel22(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_yellow_1(A))))) ),
    file(waybel22,k1_waybel22),
    []).

fof(dt_k1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k1_waybel_0(A,B,C,D),u1_struct_0(B)) ) ),
    file(waybel_0,k1_waybel_0),
    []).

fof(dt_k1_wellord2,axiom,(
    ! [A] : v1_relat_1(k1_wellord2(A)) ),
    file(wellord2,k1_wellord2),
    []).

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_yellow_1,axiom,(
    ! [A] : 
      ( v1_relat_2(k1_yellow_1(A))
      & v4_relat_2(k1_yellow_1(A))
      & v8_relat_2(k1_yellow_1(A))
      & v1_partfun1(k1_yellow_1(A),A,A)
      & m2_relset_1(k1_yellow_1(A),A,A) ) ),
    file(yellow_1,k1_yellow_1),
    []).

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

fof(dt_k2_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B) )
     => m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B)) ) ),
    file(funct_2,k2_funct_2),
    []).

fof(dt_k2_lattice3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ( v1_relat_2(k2_lattice3(A))
        & v4_relat_2(k2_lattice3(A))
        & v8_relat_2(k2_lattice3(A))
        & v1_partfun1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A))
        & m2_relset_1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A)) ) ) ),
    file(lattice3,k2_lattice3),
    []).

fof(dt_k2_waybel22,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v3_lattice3(B)
        & v3_waybel_3(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B))
        & m1_relset_1(C,k1_waybel22(A),u1_struct_0(B)) )
     => ( v1_funct_1(k2_waybel22(A,B,C))
        & v1_funct_2(k2_waybel22(A,B,C),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))),u1_struct_0(B))
        & m2_relset_1(k2_waybel22(A,B,C),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))),u1_struct_0(B)) ) ) ),
    file(waybel22,k2_waybel22),
    []).

fof(dt_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    []).

fof(dt_k2_yellow_0,axiom,(
    ! [A,B] : 
      ( l1_orders_2(A)
     => m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A)) ) ),
    file(yellow_0,k2_yellow_0),
    []).

fof(dt_k2_yellow_1,axiom,(
    ! [A] : 
      ( v1_orders_2(k2_yellow_1(A))
      & l1_orders_2(k2_yellow_1(A)) ) ),
    file(yellow_1,k2_yellow_1),
    []).

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

fof(dt_k3_lattice3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ( v1_orders_2(k3_lattice3(A))
        & v2_orders_2(k3_lattice3(A))
        & v3_orders_2(k3_lattice3(A))
        & v4_orders_2(k3_lattice3(A))
        & l1_orders_2(k3_lattice3(A)) ) ) ),
    file(lattice3,k3_lattice3),
    []).

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

fof(dt_k3_yellow_1,axiom,(
    ! [A] : 
      ( v1_orders_2(k3_yellow_1(A))
      & l1_orders_2(k3_yellow_1(A)) ) ),
    file(yellow_1,k3_yellow_1),
    []).

fof(dt_k4_pre_topc,axiom,(
    ! [A,B,C,D] : 
      ( ( l1_struct_0(A)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
     => m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))) ) ),
    file(pre_topc,k4_pre_topc),
    []).

fof(dt_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(subset_1,k4_subset_1),
    []).

fof(dt_k4_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => m1_subset_1(k4_yellow_0(A),u1_struct_0(A)) ) ),
    file(yellow_0,k4_yellow_0),
    []).

fof(dt_k5_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(subset_1,k5_subset_1),
    []).

fof(dt_k5_waybel_0,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => m1_subset_1(k5_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(waybel_0,k5_waybel_0),
    []).

fof(dt_k7_relat_1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(A)
     => v1_relat_1(k7_relat_1(A,B)) ) ),
    file(relat_1,k7_relat_1),
    []).

fof(dt_k7_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k7_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(waybel_0,k7_waybel_0),
    []).

fof(dt_k9_filter_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => v1_relat_1(k9_filter_1(A)) ) ),
    file(filter_1,k9_filter_1),
    []).

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

fof(dt_k9_waybel_0,axiom,(
    $true ),
    file(waybel_0,k9_waybel_0),
    []).

fof(dt_l1_lattices,axiom,(
    ! [A] : 
      ( l1_lattices(A)
     => l1_struct_0(A) ) ),
    file(lattices,l1_lattices),
    []).

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_l2_lattices,axiom,(
    ! [A] : 
      ( l2_lattices(A)
     => l1_struct_0(A) ) ),
    file(lattices,l2_lattices),
    []).

fof(dt_l3_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( l1_lattices(A)
        & l2_lattices(A) ) ) ),
    file(lattices,l3_lattices),
    []).

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

fof(dt_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
         => m1_subset_1(C,u1_struct_0(A)) ) ) ),
    file(struct_0,m1_struct_0),
    []).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_m1_waybel16,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v3_lattice3(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v3_lattice3(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_waybel16(C,A,B)
         => ( v1_funct_1(C)
            & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
            & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ),
    file(waybel16,m1_waybel16),
    []).

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_lattices,axiom,(
    ! [A] : 
      ( l1_lattices(A)
     => ( v1_funct_1(u1_lattices(A))
        & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattices,u1_lattices),
    []).

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(dt_u2_lattices,axiom,(
    ! [A] : 
      ( l2_lattices(A)
     => ( v1_funct_1(u2_lattices(A))
        & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattices,u2_lattices),
    []).

fof(existence_l1_lattices,axiom,(
    ? [A] : l1_lattices(A) ),
    file(lattices,l1_lattices),
    []).

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_l2_lattices,axiom,(
    ? [A] : l2_lattices(A) ),
    file(lattices,l2_lattices),
    []).

fof(existence_l3_lattices,axiom,(
    ? [A] : l3_lattices(A) ),
    file(lattices,l3_lattices),
    []).

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

fof(existence_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ? [C] : m1_struct_0(C,A,B) ) ),
    file(struct_0,m1_struct_0),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(existence_m1_waybel16,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v3_lattice3(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v3_lattice3(B)
        & l1_orders_2(B) )
     => ? [C] : m1_waybel16(C,A,B) ) ),
    file(waybel16,m1_waybel16),
    []).

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

fof(fc10_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ( ~ v1_xboole_0(k7_waybel_0(A,B))
        & v2_waybel_0(k7_waybel_0(A,B),A) ) ) ),
    file(waybel_0,fc10_waybel_0),
    []).

fof(fc10_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc10_waybel_8),
    []).

fof(fc11_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & v2_waybel_8(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc11_waybel_8),
    []).

fof(fc12_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => v13_waybel_0(k5_waybel_0(A,B),A) ) ),
    file(waybel_0,fc12_waybel_0),
    []).

fof(fc12_waybel_8,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_waybel_8(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_yellow_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_waybel_3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_waybel_3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc12_waybel_8),
    []).

fof(fc14_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v3_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => v13_waybel_0(k7_waybel_0(A,B),A) ) ),
    file(waybel_0,fc14_waybel_0),
    []).

fof(fc14_waybel_8,axiom,(
    ! [A] : 
      ( ~ v3_struct_0(k3_yellow_1(A))
      & v1_orders_2(k3_yellow_1(A))
      & v2_orders_2(k3_yellow_1(A))
      & v3_orders_2(k3_yellow_1(A))
      & v4_orders_2(k3_yellow_1(A))
      & v1_lattice3(k3_yellow_1(A))
      & v2_lattice3(k3_yellow_1(A))
      & v3_lattice3(k3_yellow_1(A))
      & v1_yellow_0(k3_yellow_1(A))
      & v2_yellow_0(k3_yellow_1(A))
      & v3_yellow_0(k3_yellow_1(A))
      & v24_waybel_0(k3_yellow_1(A))
      & v25_waybel_0(k3_yellow_1(A))
      & v2_waybel_1(k3_yellow_1(A))
      & v9_waybel_1(k3_yellow_1(A))
      & v10_waybel_1(k3_yellow_1(A))
      & v11_waybel_1(k3_yellow_1(A))
      & v2_waybel_3(k3_yellow_1(A))
      & v3_waybel_3(k3_yellow_1(A))
      & v1_waybel_8(k3_yellow_1(A))
      & v2_waybel_8(k3_yellow_1(A)) ) ),
    file(waybel_8,fc14_waybel_8),
    []).

fof(fc17_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & l1_orders_2(A)
        & v2_waybel_0(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v2_waybel_0(k5_waybel_0(A,B),A)
        & v13_waybel_0(k5_waybel_0(A,B),A) ) ) ),
    file(waybel_0,fc17_waybel_0),
    []).

fof(fc1_lattice3,axiom,(
    ! [A] : 
      ( ~ v3_struct_0(k1_lattice3(A))
      & v3_lattices(k1_lattice3(A)) ) ),
    file(lattice3,fc1_lattice3),
    []).

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_waybel16,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ~ v1_xboole_0(k9_waybel_0(A)) ) ),
    file(waybel16,fc1_waybel16),
    []).

fof(fc1_waybel22,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
        & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))
        & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))
        & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
        & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))) ) ) ),
    file(waybel22,fc1_waybel22),
    []).

fof(fc1_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(fc1_yellow_0,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,k1_tarski(A),k1_tarski(A))
     => ( ~ v3_struct_0(g1_orders_2(k1_tarski(A),B))
        & v1_orders_2(g1_orders_2(k1_tarski(A),B))
        & v3_realset2(g1_orders_2(k1_tarski(A),B)) ) ) ),
    file(yellow_0,fc1_yellow_0),
    []).

fof(fc2_lattice3,axiom,(
    ! [A] : 
      ( ~ v3_struct_0(k1_lattice3(A))
      & v3_lattices(k1_lattice3(A))
      & v4_lattices(k1_lattice3(A))
      & v5_lattices(k1_lattice3(A))
      & v6_lattices(k1_lattice3(A))
      & v7_lattices(k1_lattice3(A))
      & v8_lattices(k1_lattice3(A))
      & v9_lattices(k1_lattice3(A))
      & v10_lattices(k1_lattice3(A)) ) ),
    file(lattice3,fc2_lattice3),
    []).

fof(fc2_setfam_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v1_xboole_0(k1_tarski(A))
        & v1_setfam_1(k1_tarski(A)) ) ) ),
    file(setfam_1,fc2_setfam_1),
    []).

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

fof(fc2_waybel16,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A)))
        & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
        & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
        & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
        & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
        & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
        & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) ) ) ),
    file(waybel16,fc2_waybel16),
    []).

fof(fc2_waybel22,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v3_lattice3(B)
        & v3_waybel_3(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B))
        & m1_relset_1(C,k1_waybel22(A),u1_struct_0(B)) )
     => ( v1_relat_1(k2_waybel22(A,B,C))
        & v1_funct_1(k2_waybel22(A,B,C))
        & v1_funct_2(k2_waybel22(A,B,C),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))),u1_struct_0(B))
        & v22_waybel_0(k2_waybel22(A,B,C),k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B) ) ) ),
    file(waybel22,fc2_waybel22),
    []).

fof(fc2_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(A,B)) ) ),
    file(xboole_0,fc2_xboole_0),
    []).

fof(fc3_lattice3,axiom,(
    ! [A] : 
      ( ~ v3_struct_0(k1_lattice3(A))
      & v3_lattices(k1_lattice3(A))
      & v4_lattices(k1_lattice3(A))
      & v5_lattices(k1_lattice3(A))
      & v6_lattices(k1_lattice3(A))
      & v7_lattices(k1_lattice3(A))
      & v8_lattices(k1_lattice3(A))
      & v9_lattices(k1_lattice3(A))
      & v10_lattices(k1_lattice3(A))
      & v11_lattices(k1_lattice3(A))
      & v12_lattices(k1_lattice3(A))
      & v13_lattices(k1_lattice3(A))
      & v14_lattices(k1_lattice3(A))
      & v15_lattices(k1_lattice3(A))
      & v16_lattices(k1_lattice3(A))
      & v17_lattices(k1_lattice3(A)) ) ),
    file(lattice3,fc3_lattice3),
    []).

fof(fc3_waybel22,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v3_lattice3(B)
        & v3_waybel_3(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k1_waybel22(A),u1_struct_0(B))
        & m1_relset_1(C,k1_waybel22(A),u1_struct_0(B)) )
     => ( v1_relat_1(k2_waybel22(A,B,C))
        & v1_funct_1(k2_waybel22(A,B,C))
        & v1_funct_2(k2_waybel22(A,B,C),u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))),u1_struct_0(B))
        & v17_waybel_0(k2_waybel22(A,B,C),k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B)
        & v19_waybel_0(k2_waybel22(A,B,C),k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B)
        & v21_waybel_0(k2_waybel22(A,B,C),k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B)
        & v22_waybel_0(k2_waybel22(A,B,C),k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B) ) ) ),
    file(waybel22,fc3_waybel22),
    []).

fof(fc3_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(B,A)) ) ),
    file(xboole_0,fc3_xboole_0),
    []).

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

fof(fc4_lattice3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => ( ~ v3_struct_0(k3_lattice3(A))
        & v1_orders_2(k3_lattice3(A))
        & v2_orders_2(k3_lattice3(A))
        & v3_orders_2(k3_lattice3(A))
        & v4_orders_2(k3_lattice3(A)) ) ) ),
    file(lattice3,fc4_lattice3),
    []).

fof(fc4_setfam_1,axiom,(
    ! [A,B] : 
      ( ( v1_setfam_1(A)
        & v1_setfam_1(B) )
     => v1_setfam_1(k2_xboole_0(A,B)) ) ),
    file(setfam_1,fc4_setfam_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(fc4_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc4_waybel_8),
    []).

fof(fc5_waybel_8,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc5_waybel_8),
    []).

fof(fc6_waybel_8,axiom,(
    ! [A] : 
      ( ( v3_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc6_waybel_8),
    []).

fof(fc7_waybel_8,axiom,(
    ! [A] : 
      ( ( v4_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc7_waybel_8),
    []).

fof(fc8_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ~ v1_xboole_0(k5_waybel_0(A,B)) ) ),
    file(waybel_0,fc8_waybel_0),
    []).

fof(fc8_waybel_8,axiom,(
    ! [A] : 
      ( ( v2_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc8_waybel_8),
    []).

fof(fc9_waybel_8,axiom,(
    ! [A] : 
      ( ( v1_lattice3(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
        & v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ) ),
    file(waybel_8,fc9_waybel_8),
    []).

fof(fraenkel_a_1_1_waybel22,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,a_1_1_waybel22(B))
    <=> ? [C] : 
          ( m1_subset_1(C,u1_struct_0(k3_yellow_1(B)))
          & A = k7_waybel_0(k3_yellow_1(B),C)
          & ? [D] : 
              ( m1_subset_1(D,B)
              & C = k1_tarski(D) ) ) ) ),
    file(waybel22,a_1_1_waybel22),
    []).

fof(fraenkel_a_1_1_waybel_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & l1_orders_2(B) )
     => ( r2_hidden(A,a_1_1_waybel_0(B))
      <=> ? [C] : 
            ( ~ v1_xboole_0(C)
            & v2_waybel_0(C,B)
            & v13_waybel_0(C,B)
            & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
            & A = C ) ) ) ),
    file(waybel_0,a_1_1_waybel_0),
    []).

fof(fraenkel_a_2_3_waybel22,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(C)
        & v2_waybel_0(C,k3_yellow_1(B))
        & v13_waybel_0(C,k3_yellow_1(B))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_1(B)))) )
     => ( r2_hidden(A,a_2_3_waybel22(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,k1_zfmisc_1(B))
            & A = k2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(B))),a_2_4_waybel22(B,D))
            & r2_hidden(D,C) ) ) ) ),
    file(waybel22,a_2_3_waybel22),
    []).

fof(fraenkel_a_2_4_waybel22,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(B))
     => ( r2_hidden(A,a_2_4_waybel22(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,u1_struct_0(k3_yellow_1(B)))
            & A = k7_waybel_0(k3_yellow_1(B),D)
            & ? [E] : 
                ( m1_subset_1(E,B)
                & D = k1_tarski(E)
                & r2_hidden(E,C) ) ) ) ) ),
    file(waybel22,a_2_4_waybel22),
    []).

fof(fraenkel_a_2_5_waybel22,axiom,(
    ! [A,B,C] : 
      ( r2_hidden(A,a_2_5_waybel22(B,C))
    <=> ? [D] : 
          ( m1_subset_1(D,u1_struct_0(k3_yellow_1(B)))
          & A = k7_waybel_0(k3_yellow_1(B),D)
          & ? [E] : 
              ( m1_subset_1(E,B)
              & D = k1_tarski(E)
              & r2_hidden(E,C) ) ) ) ),
    file(waybel22,a_2_5_waybel22),
    []).

fof(fraenkel_a_3_0_waybel22,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(C)
        & v2_waybel_0(C,k3_yellow_1(B))
        & v13_waybel_0(C,k3_yellow_1(B))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_yellow_1(B))))
        & m1_struct_0(D,k3_yellow_1(B),C) )
     => ( r2_hidden(A,a_3_0_waybel22(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,u1_struct_0(k3_yellow_1(B)))
            & A = k7_waybel_0(k3_yellow_1(B),E)
            & ? [F] : 
                ( m1_subset_1(F,B)
                & E = k1_tarski(F)
                & r2_hidden(F,D) ) ) ) ) ),
    file(waybel22,a_3_0_waybel22),
    []).

fof(fraenkel_a_4_0_waybel22,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(C)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v3_lattice3(C)
        & v3_waybel_3(C)
        & l1_orders_2(C)
        & v1_funct_1(D)
        & v1_funct_2(D,k1_waybel22(B),u1_struct_0(C))
        & m2_relset_1(D,k1_waybel22(B),u1_struct_0(C))
        & m1_subset_1(E,u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(B))))) )
     => ( r2_hidden(A,a_4_0_waybel22(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,k1_zfmisc_1(B))
            & A = k2_yellow_0(C,a_4_1_waybel22(B,C,D,F))
            & r2_hidden(F,E) ) ) ) ),
    file(waybel22,a_4_0_waybel22),
    []).

fof(fraenkel_a_4_1_waybel22,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(C)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v3_lattice3(C)
        & v3_waybel_3(C)
        & l1_orders_2(C)
        & v1_funct_1(D)
        & v1_funct_2(D,k1_waybel22(B),u1_struct_0(C))
        & m2_relset_1(D,k1_waybel22(B),u1_struct_0(C))
        & m1_subset_1(E,k1_zfmisc_1(B)) )
     => ( r2_hidden(A,a_4_1_waybel22(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(k3_yellow_1(B)))
            & A = k1_funct_1(D,k7_waybel_0(k3_yellow_1(B),F))
            & ? [G] : 
                ( m1_subset_1(G,B)
                & F = k1_tarski(G)
                & r2_hidden(G,E) ) ) ) ) ),
    file(waybel22,a_4_1_waybel22),
    []).

fof(fraenkel_a_4_7_waybel22,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(C)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v3_lattice3(C)
        & v3_waybel_3(C)
        & l1_orders_2(C)
        & v1_funct_1(D)
        & v1_funct_2(D,k1_waybel22(B),u1_struct_0(C))
        & m2_relset_1(D,k1_waybel22(B),u1_struct_0(C))
        & ~ v1_xboole_0(E)
        & v2_waybel_0(E,k3_yellow_1(B))
        & v13_waybel_0(E,k3_yellow_1(B))
        & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_yellow_1(B)))) )
     => ( r2_hidden(A,a_4_7_waybel22(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,k1_zfmisc_1(B))
            & A = k2_yellow_0(C,a_4_1_waybel22(B,C,D,F))
            & r2_hidden(F,E) ) ) ) ),
    file(waybel22,a_4_7_waybel22),
    []).

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(free_g3_lattices,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A) )
     => ! [D,E,F] : 
          ( g3_lattices(A,B,C) = g3_lattices(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) ),
    file(lattices,g3_lattices),
    []).

fof(idempotence_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    []).

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

fof(idempotence_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,B) = B ) ),
    file(subset_1,k4_subset_1),
    []).

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

fof(rc10_waybel_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v2_waybel_0(B,A)
          & v13_waybel_0(B,A) ) ) ),
    file(waybel_0,rc10_waybel_0),
    []).

fof(rc12_waybel_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) ) ),
    file(waybel_0,rc12_waybel_0),
    []).

fof(rc13_waybel_0,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) ) ),
    file(waybel_0,rc13_waybel_0),
    []).

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_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_setfam_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_setfam_1(A) ) ),
    file(setfam_1,rc1_setfam_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(rc1_waybel_0,axiom,(
    ! [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_0,rc1_waybel_0),
    []).

fof(rc1_waybel_5,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)
      & v1_waybel_5(A) ) ),
    file(waybel_5,rc1_waybel_5),
    []).

fof(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

fof(rc1_yellow_0,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)
      & v3_realset2(A) ) ),
    file(yellow_0,rc1_yellow_0),
    []).

fof(rc1_yellow_7,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)
      & v16_waybel_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A)
      & v1_waybel_5(A)
      & v3_realset2(A) ) ),
    file(yellow_7,rc1_yellow_7),
    []).

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

fof(rc2_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_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

fof(rc2_yellow_0,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) ) ),
    file(yellow_0,rc2_yellow_0),
    []).

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

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

fof(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_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => k1_struct_0(A,B) = k1_tarski(B) ) ),
    file(struct_0,k1_struct_0),
    []).

fof(redefinition_k1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k1_waybel_0(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(waybel_0,k1_waybel_0),
    []).

fof(redefinition_k1_yellow_1,axiom,(
    ! [A] : k1_yellow_1(A) = k1_wellord2(A) ),
    file(yellow_1,k1_yellow_1),
    []).

fof(redefinition_k2_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B) )
     => k2_funct_2(A,B,C,D) = k9_relat_1(C,D) ) ),
    file(funct_2,k2_funct_2),
    []).

fof(redefinition_k2_lattice3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & l3_lattices(A) )
     => k2_lattice3(A) = k9_filter_1(A) ) ),
    file(lattice3,k2_lattice3),
    []).

fof(redefinition_k4_pre_topc,axiom,(
    ! [A,B,C,D] : 
      ( ( l1_struct_0(A)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
     => k4_pre_topc(A,B,C,D) = k9_relat_1(C,D) ) ),
    file(pre_topc,k4_pre_topc),
    []).

fof(redefinition_k4_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k4_subset_1(A,B,C) = k2_xboole_0(B,C) ) ),
    file(subset_1,k4_subset_1),
    []).

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

fof(redefinition_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(struct_0,m1_struct_0),
    []).

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

fof(redefinition_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( r3_orders_2(A,B,C)
      <=> r1_orders_2(A,B,C) ) ) ),
    file(orders_2,r3_orders_2),
    []).

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

fof(reflexivity_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => r3_orders_2(A,B,B) ) ),
    file(orders_2,r3_orders_2),
    []).

fof(t10_waybel16,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))))) )
     => ( r2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B)
        & k2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),B) = k1_setfam_1(B) ) ) ),
    file(waybel16,t10_waybel16),
    []).

fof(t113_funct_2,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m2_relset_1(C,A,B) )
     => ! [D] : 
          ( ( v1_funct_1(D)
            & v1_funct_2(D,A,B)
            & m2_relset_1(D,A,B) )
         => ( ! [E] : 
                ( m1_subset_1(E,A)
               => k1_funct_1(C,E) = k1_funct_1(D,E) )
           => C = D ) ) ) ),
    file(funct_2,t113_funct_2),
    []).

fof(t115_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m2_relset_1(D,A,B) )
     => ! [E] : ~ ( r2_hidden(E,k2_funct_2(A,B,D,C))
          & ! [F] : ~ ( r2_hidden(F,A)
              & r2_hidden(F,C)
              & E = k1_funct_1(D,F) ) ) ) ),
    file(funct_2,t115_funct_2),
    []).

fof(t11_waybel22,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & v2_waybel_0(B,k3_yellow_1(A))
        & v13_waybel_0(B,k3_yellow_1(A))
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_yellow_1(A)))) )
     => B = k1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),a_2_3_waybel22(A,B)) ) ),
    file(waybel22,t11_waybel22),
    []).

fof(t17_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v3_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( r1_yellow_0(A,B)
          & r2_yellow_0(A,B) ) ) ),
    file(yellow_0,t17_yellow_0),
    []).

fof(t1_boole,axiom,(
    ! [A] : k2_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t1_boole),
    []).

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

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

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

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

fof(t2_yellow_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,u1_struct_0(k3_yellow_1(A)))
     => ! [C] : 
          ( m1_subset_1(C,u1_struct_0(k3_yellow_1(A)))
         => ( r3_orders_2(k3_yellow_1(A),B,C)
          <=> r1_tarski(B,C) ) ) ) ),
    file(yellow_1,t2_yellow_1),
    []).

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

fof(t3_yellow_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(k2_yellow_1(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k2_yellow_1(A)))
             => ( r3_orders_2(k2_yellow_1(A),B,C)
              <=> r1_tarski(B,C) ) ) ) ) ),
    file(yellow_1,t3_yellow_1),
    []).

fof(t43_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m2_relset_1(D,A,B) )
     => ( B != k1_xboole_0
       => ! [E] : 
            ( ? [F] : 
                ( r2_hidden(F,A)
                & r2_hidden(F,C)
                & E = k1_funct_1(D,F) )
           => r2_hidden(E,k9_relat_1(D,C)) ) ) ) ),
    file(funct_2,t43_funct_2),
    []).

fof(t45_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => r1_orders_2(A,B,k4_yellow_0(A)) ) ) ),
    file(yellow_0,t45_yellow_0),
    []).

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(t72_funct_1,axiom,(
    ! [A,B,C] : 
      ( ( v1_relat_1(C)
        & v1_funct_1(C) )
     => ( r2_hidden(B,A)
       => k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B) ) ) ),
    file(funct_1,t72_funct_1),
    []).

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

fof(t7_setfam_1,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
     => ( A = k1_xboole_0
        | r1_tarski(k1_setfam_1(B),k1_setfam_1(A)) ) ) ),
    file(setfam_1,t7_setfam_1),
    []).

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