% Mizar problem: t30_waybel24,waybel24,1495,42 
fof(t30_waybel24,conjecture,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_pre_topc(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A) )
     => ! [B] : 
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v2_pre_topc(B)
            & v4_waybel11(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & v3_lattice3(B)
            & l1_waybel_9(B) )
         => ! [C] : 
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_waybel24(A,B)))) )
             => ! [D] : 
                  ( ( ~ v1_xboole_0(D)
                    & v1_waybel_0(D,A)
                    & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
                 => k1_yellow_0(B,a_4_7_waybel24(A,B,C,D)) = k1_yellow_0(B,a_4_9_waybel24(A,B,C,D)) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,antisymmetry_r2_hidden,cc10_waybel_0,cc11_waybel_0,cc12_waybel_0,cc13_waybel_0,cc14_waybel_0,cc1_funct_2,cc1_lattice3,cc1_monoid_0,cc1_relset_1,cc1_waybel17,cc1_waybel_3,cc1_yellow_0,cc1_yellow_3,cc2_lattice3,cc2_waybel11,cc2_waybel17,cc2_waybel_3,cc2_yellow_0,cc2_yellow_3,cc3_waybel17,cc3_waybel_3,cc3_yellow_0,cc3_yellow_3,cc4_borsuk_2,cc4_waybel17,cc4_waybel_3,cc4_yellow_0,cc5_funct_2,cc5_waybel_0,cc5_waybel_3,cc5_yellow_0,cc6_funct_2,cc6_waybel_3,cc9_waybel_0,d12_funct_1,d1_funct_2,d2_yellow_0,d31_waybel_0,d37_waybel_0,d3_yellow_0,d9_lattice3,dt_g1_orders_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_waybel_0,dt_k1_xboole_0,dt_k1_yellow_0,dt_k1_zfmisc_1,dt_k2_yellow_0,dt_k2_zfmisc_1,dt_k3_waybel24,dt_k4_pre_topc,dt_k4_relset_1,dt_k6_yellow_1,dt_k7_yellow_2,dt_k9_relat_1,dt_l1_orders_2,dt_l1_pre_topc,dt_l1_struct_0,dt_l1_waybel_9,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_orders_2,dt_u1_struct_0,existence_l1_orders_2,existence_l1_pre_topc,existence_l1_struct_0,existence_l1_waybel_9,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc10_waybel24,fc11_waybel24,fc11_yellow_1,fc12_yellow_1,fc13_yellow_1,fc13_yellow_3,fc14_yellow_1,fc15_yellow_1,fc16_yellow_1,fc17_yellow_1,fc18_yellow_1,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc2_waybel17,fc4_subset_1,fc6_waybel24,fc7_waybel24,fc8_waybel24,fc9_waybel24,fraenkel_a_2_2_waybel24,fraenkel_a_2_3_waybel24,fraenkel_a_4_10_waybel24,fraenkel_a_4_2_waybel24,fraenkel_a_4_4_waybel24,fraenkel_a_4_5_waybel24,fraenkel_a_4_7_waybel24,fraenkel_a_4_8_waybel24,fraenkel_a_4_9_waybel24,free_g1_orders_2,l32_waybel24,rc10_waybel_0,rc12_waybel_0,rc13_waybel_0,rc1_funct_2,rc1_lattice3,rc1_monoid_0,rc1_subset_1,rc1_waybel10,rc1_waybel_0,rc1_waybel_3,rc1_xboole_0,rc1_yellow_0,rc1_yellow_3,rc2_borsuk_1,rc2_lattice3,rc2_subset_1,rc2_waybel_3,rc2_xboole_0,rc2_yellow_0,rc3_struct_0,rc5_struct_0,redefinition_k1_waybel_0,redefinition_k4_pre_topc,redefinition_k4_relset_1,redefinition_k7_yellow_2,redefinition_m2_relset_1,redefinition_r3_orders_2,reflexivity_r1_tarski,reflexivity_r3_orders_2,s4_waybel24__e7_52__waybel24,s5_waybel24__e7_52_1__waybel24,s5_waybel24__e7_52_2__waybel24,t10_yellow_2,t12_waybel10,t15_waybel17,t17_yellow_0,t19_waybel24,t1_subset,t21_waybel24,t24_yellow_2,t26_waybel24,t28_waybel24,t29_waybel24,t2_subset,t2_tarski,t32_yellow_0,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(waybel24,t30_waybel24)]).

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_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_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_partfun1(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc1_funct_2),
    []).

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

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_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_waybel17,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v4_orders_2(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))
              & v22_waybel_0(C,A,B) )
           => ( ~ v1_xboole_0(C)
              & v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_orders_3(C,A,B)
              & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ),
    file(waybel17,cc1_waybel17),
    []).

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

fof(cc1_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_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => v1_yellow_3(A) ) ) ),
    file(yellow_3,cc1_yellow_3),
    []).

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

fof(cc2_waybel11,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_realset2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => v13_waybel_0(B,A) ) ) ),
    file(waybel11,cc2_waybel11),
    []).

fof(cc2_waybel17,axiom,(
    ! [A,B] : 
      ( ( v2_pre_topc(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & l1_waybel_9(A)
        & v2_pre_topc(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v24_waybel_0(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & l1_waybel_9(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))
              & v5_pre_topc(C,A,B) )
           => ( ~ v1_xboole_0(C)
              & v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_orders_3(C,A,B)
              & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ),
    file(waybel17,cc2_waybel17),
    []).

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

fof(cc2_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(cc2_yellow_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ~ v1_yellow_3(A)
       => ~ v3_struct_0(A) ) ) ),
    file(yellow_3,cc2_yellow_3),
    []).

fof(cc3_waybel17,axiom,(
    ! [A,B] : 
      ( ( v2_pre_topc(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A)
        & v2_pre_topc(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(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))
              & v5_pre_topc(C,A,B) )
           => ( ~ v1_xboole_0(C)
              & v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_orders_3(C,A,B)
              & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
              & v22_waybel_0(C,A,B) ) ) ) ) ),
    file(waybel17,cc3_waybel17),
    []).

fof(cc3_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v3_realset2(A)
          & v2_orders_2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v2_waybel_3(A) ) ) ) ),
    file(waybel_3,cc3_waybel_3),
    []).

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(cc3_yellow_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A) )
       => ( ~ v3_struct_0(A)
          & ~ v1_yellow_3(A) ) ) ) ),
    file(yellow_3,cc3_yellow_3),
    []).

fof(cc4_borsuk_2,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v3_struct_0(A)
       => v2_t_0topsp(A) ) ) ),
    file(borsuk_2,cc4_borsuk_2),
    []).

fof(cc4_waybel17,axiom,(
    ! [A,B] : 
      ( ( v2_pre_topc(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A)
        & v2_pre_topc(B)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(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))
              & v22_waybel_0(C,A,B) )
           => ( ~ v1_xboole_0(C)
              & v1_funct_1(C)
              & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
              & v5_pre_topc(C,A,B)
              & v5_orders_3(C,A,B)
              & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ),
    file(waybel17,cc4_waybel17),
    []).

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

fof(cc4_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_funct_2,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc5_funct_2),
    []).

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_waybel_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v24_waybel_0(A)
          & v2_waybel_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v1_yellow_0(A)
          & v3_waybel_3(A) ) ) ) ),
    file(waybel_3,cc5_waybel_3),
    []).

fof(cc5_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_funct_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & ~ v1_xboole_0(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc6_funct_2),
    []).

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

fof(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(d12_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : 
          ( C = k9_relat_1(A,B)
        <=> ! [D] : 
              ( r2_hidden(D,C)
            <=> ? [E] : 
                  ( r2_hidden(E,k1_relat_1(A))
                  & r2_hidden(E,B)
                  & D = k1_funct_1(A,E) ) ) ) ) ),
    file(funct_1,d12_funct_1),
    []).

fof(d1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( ( ( B = k1_xboole_0
           => A = k1_xboole_0 )
         => ( v1_funct_2(C,A,B)
          <=> A = k4_relset_1(A,B,C) ) )
        & ( B = k1_xboole_0
         => ( A = k1_xboole_0
            | ( v1_funct_2(C,A,B)
            <=> C = k1_xboole_0 ) ) ) ) ) ),
    file(funct_2,d1_funct_2),
    []).

fof(d2_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_orders_2(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( ( r1_orders_2(A,B,C)
                        & r1_orders_2(A,C,D) )
                     => r1_orders_2(A,B,D) ) ) ) ) ) ) ),
    file(yellow_0,d2_yellow_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(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_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v4_orders_2(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ( ( r1_orders_2(A,B,C)
                    & r1_orders_2(A,C,B) )
                 => B = C ) ) ) ) ) ),
    file(yellow_0,d3_yellow_0),
    []).

fof(d9_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B,C] : 
          ( m1_subset_1(C,u1_struct_0(A))
         => ( r2_lattice3(A,B,C)
          <=> ! [D] : 
                ( m1_subset_1(D,u1_struct_0(A))
               => ( r2_hidden(D,B)
                 => r1_orders_2(A,D,C) ) ) ) ) ) ),
    file(lattice3,d9_lattice3),
    []).

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_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    []).

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_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_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_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(dt_k3_waybel24,axiom,(
    ! [A,B] : 
      ( ( l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & l1_waybel_9(B) )
     => ( v1_orders_2(k3_waybel24(A,B))
        & l1_orders_2(k3_waybel24(A,B)) ) ) ),
    file(waybel24,k3_waybel24),
    []).

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_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(dt_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_yellow_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B))
        & m1_subset_1(D,A) )
     => m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)) ) ),
    file(yellow_2,k7_yellow_2),
    []).

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

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

fof(dt_l1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => l1_struct_0(A) ) ),
    file(pre_topc,l1_pre_topc),
    []).

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

fof(dt_l1_waybel_9,axiom,(
    ! [A] : 
      ( l1_waybel_9(A)
     => ( l1_pre_topc(A)
        & l1_orders_2(A) ) ) ),
    file(waybel_9,l1_waybel_9),
    []).

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

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

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(dt_u1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ),
    file(orders_2,u1_orders_2),
    []).

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

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

fof(existence_l1_pre_topc,axiom,(
    ? [A] : l1_pre_topc(A) ),
    file(pre_topc,l1_pre_topc),
    []).

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

fof(existence_l1_waybel_9,axiom,(
    ? [A] : l1_waybel_9(A) ),
    file(waybel_9,l1_waybel_9),
    []).

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

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

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

fof(fc10_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & l1_waybel_9(B) )
     => ( ~ v3_struct_0(k3_waybel24(A,B))
        & v1_orders_2(k3_waybel24(A,B))
        & v4_orders_2(k3_waybel24(A,B))
        & v1_monoid_0(k3_waybel24(A,B)) ) ) ),
    file(waybel24,fc10_waybel24),
    []).

fof(fc11_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v1_monoid_0(k6_yellow_1(A,B)) ) ) ),
    file(waybel24,fc11_waybel24),
    []).

fof(fc11_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc11_yellow_1),
    []).

fof(fc12_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v2_orders_2(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)) ) ) ),
    file(yellow_1,fc12_yellow_1),
    []).

fof(fc13_yellow_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k6_yellow_1(k1_xboole_0,A))
        & v1_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v3_realset2(k6_yellow_1(k1_xboole_0,A)) ) ) ),
    file(yellow_1,fc13_yellow_1),
    []).

fof(fc13_yellow_3,axiom,(
    ! [A] : 
      ( ( ~ v1_yellow_3(A)
        & l1_orders_2(A) )
     => ( ~ v1_xboole_0(u1_orders_2(A))
        & v1_relat_1(u1_orders_2(A)) ) ) ),
    file(yellow_3,fc13_yellow_3),
    []).

fof(fc14_yellow_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k6_yellow_1(k1_xboole_0,A))
        & v1_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v2_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v3_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v4_orders_2(k6_yellow_1(k1_xboole_0,A))
        & v1_yellow_0(k6_yellow_1(k1_xboole_0,A))
        & v2_yellow_0(k6_yellow_1(k1_xboole_0,A))
        & v3_yellow_0(k6_yellow_1(k1_xboole_0,A))
        & v1_lattice3(k6_yellow_1(k1_xboole_0,A))
        & v2_lattice3(k6_yellow_1(k1_xboole_0,A))
        & v3_lattice3(k6_yellow_1(k1_xboole_0,A))
        & v3_realset2(k6_yellow_1(k1_xboole_0,A)) ) ) ),
    file(yellow_1,fc14_yellow_1),
    []).

fof(fc15_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v3_orders_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v3_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc15_yellow_1),
    []).

fof(fc16_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v4_orders_2(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v4_orders_2(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc16_yellow_1),
    []).

fof(fc17_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v4_orders_2(B)
        & v2_lattice3(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v4_orders_2(k6_yellow_1(A,B))
        & v2_lattice3(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc17_yellow_1),
    []).

fof(fc18_yellow_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & v4_orders_2(B)
        & v1_lattice3(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k6_yellow_1(A,B))
        & v1_orders_2(k6_yellow_1(A,B))
        & v4_orders_2(k6_yellow_1(A,B))
        & v1_lattice3(k6_yellow_1(A,B)) ) ) ),
    file(yellow_1,fc18_yellow_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_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

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(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(fc6_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_waybel_9(B) )
     => ( ~ v3_struct_0(k3_waybel24(A,B))
        & v1_orders_2(k3_waybel24(A,B)) ) ) ),
    file(waybel24,fc6_waybel24),
    []).

fof(fc7_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_waybel_9(B) )
     => ( ~ v3_struct_0(k3_waybel24(A,B))
        & v1_orders_2(k3_waybel24(A,B))
        & v1_monoid_0(k3_waybel24(A,B)) ) ) ),
    file(waybel24,fc7_waybel24),
    []).

fof(fc8_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & v2_pre_topc(B)
        & l1_waybel_9(B) )
     => ( ~ v3_struct_0(k3_waybel24(A,B))
        & v1_orders_2(k3_waybel24(A,B))
        & v2_orders_2(k3_waybel24(A,B))
        & ~ v1_yellow_3(k3_waybel24(A,B))
        & v1_monoid_0(k3_waybel24(A,B)) ) ) ),
    file(waybel24,fc8_waybel24),
    []).

fof(fc9_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v3_orders_2(B)
        & v2_pre_topc(B)
        & l1_waybel_9(B) )
     => ( ~ v3_struct_0(k3_waybel24(A,B))
        & v1_orders_2(k3_waybel24(A,B))
        & v3_orders_2(k3_waybel24(A,B))
        & v1_monoid_0(k3_waybel24(A,B)) ) ) ),
    file(waybel24,fc9_waybel24),
    []).

fof(fraenkel_a_2_2_waybel24,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_2_2_waybel24(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,u1_struct_0(B))
            & A = D
            & r2_hidden(D,C) ) ) ) ),
    file(waybel24,a_2_2_waybel24),
    []).

fof(fraenkel_a_2_3_waybel24,axiom,(
    ! [A,B,C] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & ~ v1_xboole_0(C)
        & v1_waybel_0(C,B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_2_3_waybel24(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,u1_struct_0(B))
            & A = D
            & r2_hidden(D,C) ) ) ) ),
    file(waybel24,a_2_3_waybel24),
    []).

fof(fraenkel_a_4_10_waybel24,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v2_pre_topc(C)
        & v4_waybel11(C)
        & v1_lattice3(C)
        & v2_lattice3(C)
        & v3_lattice3(C)
        & l1_waybel_9(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C))))
        & ~ v1_xboole_0(E)
        & v1_waybel_0(E,B)
        & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_4_10_waybel24(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(k6_yellow_1(u1_struct_0(B),C)))
            & A = k1_funct_1(F,k1_yellow_0(B,E))
            & r2_hidden(F,D) ) ) ) ),
    file(waybel24,a_4_10_waybel24),
    []).

fof(fraenkel_a_4_2_waybel24,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v2_pre_topc(C)
        & v1_lattice3(C)
        & v2_lattice3(C)
        & v3_lattice3(C)
        & l1_waybel_9(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C))))
        & m1_subset_1(E,u1_struct_0(B)) )
     => ( r2_hidden(A,a_4_2_waybel24(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(k6_yellow_1(u1_struct_0(B),C)))
            & A = k1_funct_1(F,E)
            & r2_hidden(F,D) ) ) ) ),
    file(waybel24,a_4_2_waybel24),
    []).

fof(fraenkel_a_4_4_waybel24,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v2_pre_topc(C)
        & v4_waybel11(C)
        & v1_lattice3(C)
        & v2_lattice3(C)
        & v3_lattice3(C)
        & l1_waybel_9(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C))))
        & ~ v1_xboole_0(E)
        & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_4_4_waybel24(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(B))
            & A = k1_yellow_0(C,a_4_5_waybel24(B,C,D,F))
            & r2_hidden(F,E) ) ) ) ),
    file(waybel24,a_4_4_waybel24),
    []).

fof(fraenkel_a_4_5_waybel24,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v2_pre_topc(C)
        & v4_waybel11(C)
        & v1_lattice3(C)
        & v2_lattice3(C)
        & v3_lattice3(C)
        & l1_waybel_9(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C))))
        & m1_subset_1(E,u1_struct_0(B)) )
     => ( r2_hidden(A,a_4_5_waybel24(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(k6_yellow_1(u1_struct_0(B),C)))
            & A = k1_funct_1(F,E)
            & r2_hidden(F,D) ) ) ) ),
    file(waybel24,a_4_5_waybel24),
    []).

fof(fraenkel_a_4_7_waybel24,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v2_pre_topc(C)
        & v4_waybel11(C)
        & v1_lattice3(C)
        & v2_lattice3(C)
        & v3_lattice3(C)
        & l1_waybel_9(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C))))
        & ~ v1_xboole_0(E)
        & v1_waybel_0(E,B)
        & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_4_7_waybel24(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(k6_yellow_1(u1_struct_0(B),C)))
            & A = k1_yellow_0(C,a_4_8_waybel24(B,C,E,F))
            & r2_hidden(F,D) ) ) ) ),
    file(waybel24,a_4_7_waybel24),
    []).

fof(fraenkel_a_4_8_waybel24,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v2_pre_topc(C)
        & v4_waybel11(C)
        & v1_lattice3(C)
        & v2_lattice3(C)
        & v3_lattice3(C)
        & l1_waybel_9(C)
        & ~ v1_xboole_0(D)
        & v1_waybel_0(D,B)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(E,u1_struct_0(k6_yellow_1(u1_struct_0(B),C))) )
     => ( r2_hidden(A,a_4_8_waybel24(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(B))
            & A = k1_funct_1(E,F)
            & r2_hidden(F,D) ) ) ) ),
    file(waybel24,a_4_8_waybel24),
    []).

fof(fraenkel_a_4_9_waybel24,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & v2_orders_2(C)
        & v3_orders_2(C)
        & v4_orders_2(C)
        & v2_pre_topc(C)
        & v4_waybel11(C)
        & v1_lattice3(C)
        & v2_lattice3(C)
        & v3_lattice3(C)
        & l1_waybel_9(C)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_waybel24(B,C))))
        & ~ v1_xboole_0(E)
        & v1_waybel_0(E,B)
        & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_4_9_waybel24(B,C,D,E))
      <=> ? [F] : 
            ( m1_subset_1(F,u1_struct_0(B))
            & A = k1_yellow_0(C,a_4_5_waybel24(B,C,D,F))
            & r2_hidden(F,E) ) ) ) ),
    file(waybel24,a_4_9_waybel24),
    []).

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(l32_waybel24,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => B = a_2_2_waybel24(A,B) ) ) ),
    file(waybel24,l32_waybel24),
    []).

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_2,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C)
      & v1_funct_2(C,A,B) ) ),
    file(funct_2,rc1_funct_2),
    []).

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

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_waybel10,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & ~ v3_struct_0(B)
        & v2_orders_2(B)
        & l1_orders_2(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
          & v5_orders_3(C,A,B) ) ) ),
    file(waybel10,rc1_waybel10),
    []).

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_3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v16_waybel_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A) ) ),
    file(waybel_3,rc1_waybel_3),
    []).

fof(rc1_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_3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & ~ v1_yellow_3(A) ) ),
    file(yellow_3,rc1_yellow_3),
    []).

fof(rc2_borsuk_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B) )
     => ? [C] : 
          ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
          & ~ v1_xboole_0(C)
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
          & v5_pre_topc(C,A,B)
          & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) ) ) ),
    file(borsuk_1,rc2_borsuk_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_waybel_3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & v2_waybel_3(A)
      & v3_waybel_3(A) ) ),
    file(waybel_3,rc2_waybel_3),
    []).

fof(rc2_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_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_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_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_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k4_relset_1(A,B,C) = k1_relat_1(C) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(redefinition_k7_yellow_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B))
        & m1_subset_1(D,A) )
     => k7_yellow_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(yellow_2,k7_yellow_2),
    []).

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

fof(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(s4_waybel24__e7_52__waybel24,axiom,(
    ! [A,B,C,D] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_pre_topc(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_waybel24(A,B))))
        & ~ v1_xboole_0(D)
        & v1_waybel_0(D,A)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
     => ( ! [E] : 
            ( m1_subset_1(E,u1_struct_0(k6_yellow_1(u1_struct_0(A),B)))
           => ( r2_hidden(E,C)
             => k1_yellow_0(B,a_4_8_waybel24(A,B,D,E)) = k1_funct_1(E,k1_yellow_0(A,D)) ) )
       => a_4_7_waybel24(A,B,C,D) = a_4_10_waybel24(A,B,C,D) ) ) ),
    file(waybel24,s4_waybel24__e7_52__waybel24),
    []).

fof(s5_waybel24__e7_52_1__waybel24,axiom,(
    ! [A,B,C,D] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_pre_topc(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & ~ v1_xboole_0(C)
        & v1_waybel_0(C,A)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(D,u1_struct_0(k6_yellow_1(u1_struct_0(A),B))) )
     => ( r1_tarski(u1_struct_0(A),k1_relat_1(D))
       => k9_relat_1(D,a_2_3_waybel24(A,C)) = a_4_8_waybel24(A,B,C,D) ) ) ),
    file(waybel24,s5_waybel24__e7_52_1__waybel24),
    []).

fof(s5_waybel24__e7_52_2__waybel24,axiom,(
    ! [A,B,C,D] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_pre_topc(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A)
        & v2_orders_2(B)
        & v3_orders_2(B)
        & v4_orders_2(B)
        & v2_pre_topc(B)
        & v4_waybel11(B)
        & v1_lattice3(B)
        & v2_lattice3(B)
        & v3_lattice3(B)
        & l1_waybel_9(B)
        & ~ v1_xboole_0(C)
        & v1_waybel_0(C,A)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(D,u1_struct_0(k6_yellow_1(u1_struct_0(A),B))) )
     => ( r1_tarski(u1_struct_0(A),k1_relat_1(D))
       => k9_relat_1(D,a_2_3_waybel24(A,C)) = a_4_8_waybel24(A,B,C,D) ) ) ),
    file(waybel24,s5_waybel24__e7_52_2__waybel24),
    []).

fof(t10_yellow_2,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] : 
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ( r1_yellow_2(u1_struct_0(A),B,C,D)
                  <=> ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => r1_orders_2(B,k1_waybel_0(A,B,C,E),k1_waybel_0(A,B,D,E)) ) ) ) ) ) ) ),
    file(yellow_2,t10_yellow_2),
    []).

fof(t12_waybel10,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( ( v1_funct_1(C)
            & v1_funct_2(C,A,u1_struct_0(B))
            & m2_relset_1(C,A,u1_struct_0(B)) )
         => ! [D] : 
              ( ( v1_funct_1(D)
                & v1_funct_2(D,A,u1_struct_0(B))
                & m2_relset_1(D,A,u1_struct_0(B)) )
             => ! [E] : 
                  ( m1_subset_1(E,u1_struct_0(k6_yellow_1(A,B)))
                 => ! [F] : 
                      ( m1_subset_1(F,u1_struct_0(k6_yellow_1(A,B)))
                     => ( ( E = C
                          & F = D )
                       => ( r1_orders_2(k6_yellow_1(A,B),E,F)
                        <=> r1_yellow_2(A,B,C,D) ) ) ) ) ) ) ) ),
    file(waybel10,t12_waybel10),
    []).

fof(t15_waybel17,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( ( v1_funct_1(D)
                    & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
                    & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
                 => ( v5_orders_3(D,A,B)
                   => ( ( ~ ( r1_yellow_0(A,C)
                            & r1_yellow_0(B,k4_pre_topc(A,B,D,C)) )
                        & ~ ( v3_lattice3(A)
                            & v4_orders_2(A)
                            & v3_lattice3(B)
                            & v4_orders_2(B) ) )
                      | r1_orders_2(B,k1_yellow_0(B,k4_pre_topc(A,B,D,C)),k7_yellow_2(u1_struct_0(A),B,D,k1_yellow_0(A,C))) ) ) ) ) ) ) ),
    file(waybel17,t15_waybel17),
    []).

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(t19_waybel24,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ! [C] : 
          ( m1_subset_1(C,u1_struct_0(k6_yellow_1(A,B)))
        <=> ( v1_funct_1(C)
            & v1_funct_2(C,A,u1_struct_0(B))
            & m2_relset_1(C,A,u1_struct_0(B)) ) ) ) ),
    file(waybel24,t19_waybel24),
    []).

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

fof(t21_waybel24,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v2_pre_topc(B)
            & l1_waybel_9(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & v5_pre_topc(C,A,B)
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
            <=> m1_subset_1(C,u1_struct_0(k3_waybel24(A,B))) ) ) ) ),
    file(waybel24,t21_waybel24),
    []).

fof(t24_yellow_2,axiom,(
    ! [A,B] : 
      ( ( 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) )
     => ! [C] : 
          ( m1_subset_1(C,u1_struct_0(B))
         => ( r2_hidden(C,A)
           => ( r3_orders_2(B,C,k1_yellow_0(B,A))
              & r3_orders_2(B,k2_yellow_0(B,A),C) ) ) ) ) ),
    file(yellow_2,t24_yellow_2),
    []).

fof(t26_waybel24,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_pre_topc(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A) )
     => ! [B] : 
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v2_pre_topc(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & v3_lattice3(B)
            & l1_waybel_9(B) )
         => ! [C] : 
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_waybel24(A,B)))) )
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => k1_funct_1(k1_yellow_0(k6_yellow_1(u1_struct_0(A),B),C),D) = k1_yellow_0(B,a_4_2_waybel24(A,B,C,D)) ) ) ) ) ),
    file(waybel24,t26_waybel24),
    []).

fof(t28_waybel24,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_pre_topc(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A) )
     => ! [B] : 
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v2_pre_topc(B)
            & v4_waybel11(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & v3_lattice3(B)
            & l1_waybel_9(B) )
         => ! [C] : 
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_waybel24(A,B)))) )
             => ! [D] : 
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
                 => k9_relat_1(k1_yellow_0(k6_yellow_1(u1_struct_0(A),B),C),D) = a_4_4_waybel24(A,B,C,D) ) ) ) ) ),
    file(waybel24,t28_waybel24),
    []).

fof(t29_waybel24,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_pre_topc(A)
        & v4_waybel11(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v3_lattice3(A)
        & l1_waybel_9(A) )
     => ! [B] : 
          ( ( v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v2_pre_topc(B)
            & v4_waybel11(B)
            & v1_lattice3(B)
            & v2_lattice3(B)
            & v3_lattice3(B)
            & l1_waybel_9(B) )
         => ! [C] : 
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_waybel24(A,B)))) )
             => ( v1_funct_1(k1_yellow_0(k6_yellow_1(u1_struct_0(A),B),C))
                & v1_funct_2(k1_yellow_0(k6_yellow_1(u1_struct_0(A),B),C),u1_struct_0(A),u1_struct_0(B))
                & v5_orders_3(k1_yellow_0(k6_yellow_1(u1_struct_0(A),B),C),A,B)
                & m2_relset_1(k1_yellow_0(k6_yellow_1(u1_struct_0(A),B),C),u1_struct_0(A),u1_struct_0(B)) ) ) ) ) ),
    file(waybel24,t29_waybel24),
    []).

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_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v3_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( B = k1_yellow_0(A,C)
            <=> ( r2_lattice3(A,C,B)
                & ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_lattice3(A,C,D)
                     => r1_orders_2(A,B,D) ) ) ) ) ) ) ),
    file(yellow_0,t32_yellow_0),
    []).

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

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

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

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

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

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