% Mizar problem: t10_waybel31,waybel31,515,31 
fof(t10_waybel31,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_t_0topsp(A)
        & l1_pre_topc(A) )
     => ( v6_group_1(A)
       => k2_waybel23(A) = k1_card_1(u1_struct_0(A)) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,antisymmetry_r2_hidden,cc10_tsp_1,cc10_waybel_0,cc10_yellow13,cc11_waybel_0,cc11_yellow13,cc12_waybel_0,cc13_waybel_0,cc14_waybel_0,cc1_card_1,cc1_finseq_1,cc1_finset_1,cc1_lattice3,cc1_relset_1,cc1_tsp_1,cc1_waybel_3,cc1_waybel_8,cc1_yellow11,cc1_yellow13,cc1_yellow15,cc1_yellow_0,cc1_yellow_2,cc1_yellow_3,cc2_finset_1,cc2_lattice3,cc2_tsp_1,cc2_waybel_3,cc2_waybel_8,cc2_yellow13,cc2_yellow15,cc2_yellow_0,cc2_yellow_3,cc3_tsp_1,cc3_waybel_3,cc3_waybel_8,cc3_yellow13,cc3_yellow_0,cc3_yellow_3,cc4_tsp_1,cc4_waybel_3,cc4_waybel_4,cc4_waybel_8,cc4_yellow11,cc4_yellow13,cc4_yellow_0,cc5_tsp_1,cc5_waybel_0,cc5_waybel_3,cc5_yellow11,cc5_yellow13,cc5_yellow_0,cc6_tsp_1,cc6_waybel25,cc6_waybel_3,cc6_yellow13,cc7_tsp_1,cc7_waybel_3,cc7_yellow13,cc8_tsp_1,cc8_yellow13,cc9_tsp_1,cc9_waybel_0,cc9_yellow13,commutativity_k3_xboole_0,commutativity_k5_subset_1,d10_xboole_0,d14_group_1,d1_funct_2,d1_pre_topc,d1_setfam_1,d1_tops_2,d3_tarski,d4_wellord2,d5_funct_1,d5_pre_topc,d5_waybel23,d7_t_0topsp,d8_funct_1,dt_g1_orders_2,dt_k1_card_1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_waybel_0,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k2_waybel23,dt_k2_zfmisc_1,dt_k3_tarski,dt_k3_xboole_0,dt_k3_yellow_1,dt_k4_relset_1,dt_k5_setfam_1,dt_k5_subset_1,dt_k6_setfam_1,dt_k8_yellow_2,dt_l1_orders_2,dt_l1_pre_topc,dt_l1_struct_0,dt_m1_cantor_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_m2_subset_1,dt_u1_orders_2,dt_u1_pre_topc,dt_u1_struct_0,existence_l1_orders_2,existence_l1_pre_topc,existence_l1_struct_0,existence_m1_cantor_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,existence_m2_subset_1,fc10_finset_1,fc10_waybel_8,fc11_finseq_1,fc11_finset_1,fc11_waybel_8,fc12_waybel_8,fc13_yellow_3,fc14_finset_1,fc14_waybel_8,fc17_finseq_1,fc1_struct_0,fc1_subset_1,fc1_yellow13,fc2_cantor_1,fc2_card_1,fc2_finseq_1,fc2_yellow13,fc4_subset_1,fc4_waybel_8,fc5_waybel_8,fc6_waybel_8,fc7_waybel_8,fc7_yellow_1,fc8_waybel_8,fc8_yellow_1,fc9_waybel_8,fraenkel_a_0_0_pre_circ,fraenkel_a_1_0_waybel23,fraenkel_a_1_3_waybel31,fraenkel_a_2_1_waybel31,fraenkel_a_2_2_waybel31,fraenkel_a_2_3_waybel31,fraenkel_a_2_5_yellow15,free_g1_orders_2,idempotence_k3_xboole_0,idempotence_k5_subset_1,rc12_waybel_0,rc13_waybel_0,rc1_card_1,rc1_finseq_1,rc1_finset_1,rc1_lattice3,rc1_subset_1,rc1_waybel_0,rc1_waybel_3,rc1_waybel_8,rc1_yellow11,rc1_yellow_0,rc1_yellow_3,rc2_card_1,rc2_lattice3,rc2_subset_1,rc2_waybel_0,rc2_waybel_3,rc2_yellow13,rc2_yellow_0,rc3_finseq_1,rc3_finset_1,rc3_struct_0,rc4_finset_1,rc4_waybel_3,rc5_struct_0,rc6_finseq_1,rc6_waybel23,rc7_finseq_1,rc8_finseq_1,redefinition_k1_waybel_0,redefinition_k4_relset_1,redefinition_k5_setfam_1,redefinition_k5_subset_1,redefinition_k6_setfam_1,redefinition_k8_yellow_2,redefinition_m2_relset_1,redefinition_m2_subset_1,redefinition_r2_wellord2,reflexivity_r1_tarski,reflexivity_r2_wellord2,s1_pre_circ__e14_14_2__waybel31,s2_funct_2__e3_14__waybel31,symmetry_r2_wellord2,t1_subset,t21_card_1,t27_card_1,t27_tops_2,t2_boole,t2_subset,t2_tarski,t32_yellow15,t32_yellow_9,t3_subset,t3_yellow15,t4_setfam_1,t4_subset,t4_waybel_7,t5_subset,t6_boole,t6_setfam_1,t7_boole,t8_boole]),
    [file(waybel31,t10_waybel31)]).

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_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & ~ v1_tdlat_3(A)
          & v2_t_0topsp(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & ~ v1_tdlat_3(A)
          & ~ v2_tdlat_3(A)
          & ~ v3_tdlat_3(A) ) ) ) ),
    file(tsp_1,cc10_tsp_1),
    []).

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(cc10_yellow13,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( v2_pre_topc(A)
          & v3_compts_1(A) )
       => ( v2_pre_topc(A)
          & v1_urysohn1(A) ) ) ) ),
    file(yellow13,cc10_yellow13),
    []).

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(cc11_yellow13,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( v2_pre_topc(A)
          & v1_urysohn1(A) )
       => ( v2_pre_topc(A)
          & v2_t_0topsp(A) ) ) ) ),
    file(yellow13,cc11_yellow13),
    []).

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_card_1,axiom,(
    ! [A] : 
      ( v1_card_1(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A) ) ) ),
    file(card_1,cc1_card_1),
    []).

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

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

fof(cc1_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_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_t_0topsp(A) ) ) ) ),
    file(tsp_1,cc1_tsp_1),
    []).

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_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_yellow11,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_lattice3(A)
          & v2_waybel_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v4_orders_2(A)
          & v2_lattice3(A)
          & v1_yellow11(A) ) ) ) ),
    file(yellow11,cc1_yellow11),
    []).

fof(cc1_yellow13,axiom,(
    ! [A] : 
      ( v1_realset1(A)
     => v1_finset_1(A) ) ),
    file(yellow13,cc1_yellow13),
    []).

fof(cc1_yellow15,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
         => v1_finset_1(B) ) ) ),
    file(yellow15,cc1_yellow15),
    []).

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_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_yellow_0(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A) ) ) ) ),
    file(yellow_2,cc1_yellow_2),
    []).

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

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

fof(cc2_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & ~ v2_t_0topsp(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A) ) ) ) ),
    file(tsp_1,cc2_tsp_1),
    []).

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_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_yellow13,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v3_realset2(A)
       => v6_group_1(A) ) ) ),
    file(yellow13,cc2_yellow13),
    []).

fof(cc2_yellow15,axiom,(
    ! [A] : 
      ( ( v6_group_1(A)
        & l1_struct_0(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
         => v1_finset_1(B) ) ) ),
    file(yellow15,cc2_yellow15),
    []).

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_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v2_t_0topsp(A) ) ) ) ),
    file(tsp_1,cc3_tsp_1),
    []).

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_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_yellow13,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( ~ v3_realset2(A)
       => ~ v3_struct_0(A) ) ) ),
    file(yellow13,cc3_yellow13),
    []).

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_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & ~ v2_t_0topsp(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & ~ v1_tdlat_3(A) ) ) ) ),
    file(tsp_1,cc4_tsp_1),
    []).

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_waybel_4,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_yellow_0(A)
          & v3_waybel_3(A)
          & v1_lattice3(A)
          & v2_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A)
          & v24_waybel_0(A)
          & v25_waybel_0(A)
          & ~ v1_yellow_3(A)
          & v1_waybel_2(A)
          & v2_waybel_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v3_lattice3(A) ) ) ) ),
    file(waybel_4,cc4_waybel_4),
    []).

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_yellow11,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_lattice3(A)
          & v6_group_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v2_lattice3(A)
          & v1_yellow_0(A) ) ) ) ),
    file(yellow11,cc4_yellow11),
    []).

fof(cc4_yellow13,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v1_urysohn1(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v1_finset_1(B)
           => v4_pre_topc(B,A) ) ) ) ),
    file(yellow13,cc4_yellow13),
    []).

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_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & v2_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & ~ v2_t_0topsp(A) ) ) ) ),
    file(tsp_1,cc5_tsp_1),
    []).

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_yellow11,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v1_lattice3(A)
          & v2_lattice3(A)
          & v6_group_1(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(yellow11,cc5_yellow11),
    []).

fof(cc5_yellow13,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_urysohn1(A)
          & v6_group_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_tdlat_3(A)
          & v3_tdlat_3(A)
          & v4_tdlat_3(A)
          & v5_tdlat_3(A) ) ) ) ),
    file(yellow13,cc5_yellow13),
    []).

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_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v2_tdlat_3(A)
          & v2_t_0topsp(A) )
       => ( ~ v3_struct_0(A)
          & v3_realset2(A)
          & v2_pre_topc(A)
          & v1_tdlat_3(A)
          & v2_tdlat_3(A)
          & v3_tdlat_3(A)
          & v4_tdlat_3(A)
          & v5_tdlat_3(A)
          & v2_t_0topsp(A) ) ) ) ),
    file(tsp_1,cc6_tsp_1),
    []).

fof(cc6_waybel25,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v2_t_0topsp(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v2_t_0topsp(A)
          & v1_waybel25(A) ) ) ) ),
    file(waybel25,cc6_waybel25),
    []).

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

fof(cc6_yellow13,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( v2_pre_topc(A)
          & v6_group_1(A) )
       => ( v2_pre_topc(A)
          & v2_compts_1(A) ) ) ) ),
    file(yellow13,cc6_yellow13),
    []).

fof(cc7_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & v2_t_0topsp(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & ~ v2_tdlat_3(A) ) ) ) ),
    file(tsp_1,cc7_tsp_1),
    []).

fof(cc7_waybel_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v2_compts_1(A)
          & v3_compts_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v4_compts_1(A)
          & v5_compts_1(A)
          & v6_waybel_3(A) ) ) ) ),
    file(waybel_3,cc7_waybel_3),
    []).

fof(cc7_yellow13,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_tdlat_3(A) )
       => ( v2_pre_topc(A)
          & v1_urysohn1(A)
          & v3_compts_1(A)
          & v4_compts_1(A)
          & v5_compts_1(A) ) ) ) ),
    file(yellow13,cc7_yellow13),
    []).

fof(cc8_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v3_tdlat_3(A)
          & v2_t_0topsp(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_tdlat_3(A)
          & v3_tdlat_3(A)
          & v4_tdlat_3(A)
          & v5_tdlat_3(A)
          & v2_t_0topsp(A) ) ) ) ),
    file(tsp_1,cc8_tsp_1),
    []).

fof(cc8_yellow13,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v1_urysohn1(A)
          & v5_compts_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & v4_compts_1(A) ) ) ) ),
    file(yellow13,cc8_yellow13),
    []).

fof(cc9_tsp_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( ~ v3_struct_0(A)
          & v2_pre_topc(A)
          & ~ v1_tdlat_3(A)
          & v3_tdlat_3(A) )
       => ( ~ v3_struct_0(A)
          & ~ v3_realset2(A)
          & v2_pre_topc(A)
          & ~ v1_tdlat_3(A)
          & ~ v2_t_0topsp(A) ) ) ) ),
    file(tsp_1,cc9_tsp_1),
    []).

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(cc9_yellow13,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( v2_pre_topc(A)
          & v1_urysohn1(A)
          & v4_compts_1(A) )
       => ( v2_pre_topc(A)
          & v3_compts_1(A) ) ) ) ),
    file(yellow13,cc9_yellow13),
    []).

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_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(d10_xboole_0,axiom,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    []).

fof(d14_group_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v6_group_1(A)
      <=> v1_finset_1(u1_struct_0(A)) ) ) ),
    file(group_1,d14_group_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(d1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v2_pre_topc(A)
      <=> ( r2_hidden(u1_struct_0(A),u1_pre_topc(A))
          & ! [B] : 
              ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
             => ( r1_tarski(B,u1_pre_topc(A))
               => r2_hidden(k5_setfam_1(u1_struct_0(A),B),u1_pre_topc(A)) ) )
          & ! [B] : 
              ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
             => ! [C] : 
                  ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
                 => ( ( r2_hidden(B,u1_pre_topc(A))
                      & r2_hidden(C,u1_pre_topc(A)) )
                   => r2_hidden(k5_subset_1(u1_struct_0(A),B,C),u1_pre_topc(A)) ) ) ) ) ) ) ),
    file(pre_topc,d1_pre_topc),
    []).

fof(d1_setfam_1,axiom,(
    ! [A,B] : 
      ( ( A != k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ! [D] : 
                  ( r2_hidden(D,A)
                 => r2_hidden(C,D) ) ) ) )
      & ( A = k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> B = k1_xboole_0 ) ) ) ),
    file(setfam_1,d1_setfam_1),
    []).

fof(d1_tops_2,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
         => ( v1_tops_2(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
               => ( r2_hidden(C,B)
                 => v3_pre_topc(C,A) ) ) ) ) ) ),
    file(tops_2,d1_tops_2),
    []).

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

fof(d4_wellord2,axiom,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
    <=> ? [C] : 
          ( v1_relat_1(C)
          & v1_funct_1(C)
          & v2_funct_1(C)
          & k1_relat_1(C) = A
          & k2_relat_1(C) = B ) ) ),
    file(wellord2,d4_wellord2),
    []).

fof(d5_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( B = k2_relat_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : 
                  ( r2_hidden(D,k1_relat_1(A))
                  & C = k1_funct_1(A,D) ) ) ) ) ),
    file(funct_1,d5_funct_1),
    []).

fof(d5_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v3_pre_topc(B,A)
          <=> r2_hidden(B,u1_pre_topc(A)) ) ) ) ),
    file(pre_topc,d5_pre_topc),
    []).

fof(d5_waybel23,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => k2_waybel23(A) = k1_setfam_1(a_1_0_waybel23(A)) ) ),
    file(waybel23,d5_waybel23),
    []).

fof(d7_t_0topsp,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( v2_t_0topsp(A)
      <=> ( v3_struct_0(A)
          | ! [B] : 
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ~ ( B != C
                      & ! [D] : 
                          ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                         => ~ ( v3_pre_topc(D,A)
                              & ( ( r2_hidden(B,D)
                                  & ~ r2_hidden(C,D) )
                                | ( r2_hidden(C,D)
                                  & ~ r2_hidden(B,D) ) ) ) ) ) ) ) ) ) ) ),
    file(t_0topsp,d7_t_0topsp),
    []).

fof(d8_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v2_funct_1(A)
      <=> ! [B,C] : 
            ( ( r2_hidden(B,k1_relat_1(A))
              & r2_hidden(C,k1_relat_1(A))
              & k1_funct_1(A,B) = k1_funct_1(A,C) )
           => B = C ) ) ) ),
    file(funct_1,d8_funct_1),
    []).

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_card_1,axiom,(
    ! [A] : v1_card_1(k1_card_1(A)) ),
    file(card_1,k1_card_1),
    []).

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_setfam_1,axiom,(
    $true ),
    file(setfam_1,k1_setfam_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_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

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

fof(dt_k2_waybel23,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => v1_card_1(k2_waybel23(A)) ) ),
    file(waybel23,k2_waybel23),
    []).

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

fof(dt_k3_tarski,axiom,(
    $true ),
    file(tarski,k3_tarski),
    []).

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_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_k5_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k5_setfam_1),
    []).

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_k6_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k6_setfam_1),
    []).

fof(dt_k8_yellow_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ 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(k8_yellow_2(A,B,C),k1_zfmisc_1(u1_struct_0(B))) ) ),
    file(yellow_2,k8_yellow_2),
    []).

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_m1_cantor_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_cantor_1(B,A)
         => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ) ),
    file(cantor_1,m1_cantor_1),
    []).

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

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

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

fof(dt_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    []).

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

fof(dt_u1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) ) ),
    file(pre_topc,u1_pre_topc),
    []).

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_m1_cantor_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ? [B] : m1_cantor_1(B,A) ) ),
    file(cantor_1,m1_cantor_1),
    []).

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

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

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

fof(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(fc10_finset_1,axiom,(
    ! [A,B] : 
      ( v1_finset_1(B)
     => v1_finset_1(k3_xboole_0(A,B)) ) ),
    file(finset_1,fc10_finset_1),
    []).

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_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k2_relat_1(A)) ) ),
    file(finseq_1,fc11_finseq_1),
    []).

fof(fc11_finset_1,axiom,(
    ! [A,B] : 
      ( v1_finset_1(A)
     => v1_finset_1(k3_xboole_0(A,B)) ) ),
    file(finset_1,fc11_finset_1),
    []).

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_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(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_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_1),
    []).

fof(fc14_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_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k1_relat_1(A)) ) ),
    file(finseq_1,fc17_finseq_1),
    []).

fof(fc1_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_yellow13,axiom,(
    ! [A] : 
      ( ( v6_group_1(A)
        & l1_struct_0(A) )
     => v1_finset_1(u1_struct_0(A)) ) ),
    file(yellow13,fc1_yellow13),
    []).

fof(fc2_cantor_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ~ v1_xboole_0(u1_pre_topc(A)) ) ),
    file(cantor_1,fc2_cantor_1),
    []).

fof(fc2_card_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ( v1_ordinal1(k1_card_1(A))
        & v2_ordinal1(k1_card_1(A))
        & v3_ordinal1(k1_card_1(A))
        & v1_finset_1(k1_card_1(A))
        & v1_card_1(k1_card_1(A)) ) ) ),
    file(card_1,fc2_card_1),
    []).

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

fof(fc2_yellow13,axiom,(
    ! [A] : 
      ( ( v3_realset2(A)
        & l1_struct_0(A) )
     => v1_realset1(u1_struct_0(A)) ) ),
    file(yellow13,fc2_yellow13),
    []).

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(fc7_yellow_1,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)) ) ),
    file(yellow_1,fc7_yellow_1),
    []).

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(fc8_yellow_1,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_yellow_0(k3_yellow_1(A))
      & v2_yellow_0(k3_yellow_1(A))
      & v3_yellow_0(k3_yellow_1(A))
      & v1_lattice3(k3_yellow_1(A))
      & v2_lattice3(k3_yellow_1(A))
      & v3_lattice3(k3_yellow_1(A)) ) ),
    file(yellow_1,fc8_yellow_1),
    []).

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_0_0_pre_circ,axiom,(
    ! [A] : 
      ( r2_hidden(A,a_0_0_pre_circ)
    <=> ? [B] : 
          ( m1_subset_1(B,f1_s1_pre_circ)
          & A = f2_s1_pre_circ(B)
          & p1_s1_pre_circ(B) ) ) ),
    file(pre_circ,a_0_0_pre_circ),
    []).

fof(fraenkel_a_1_0_waybel23,axiom,(
    ! [A,B] : 
      ( l1_pre_topc(B)
     => ( r2_hidden(A,a_1_0_waybel23(B))
      <=> ? [C] : 
            ( m1_cantor_1(C,B)
            & A = k1_card_1(C) ) ) ) ),
    file(waybel23,a_1_0_waybel23),
    []).

fof(fraenkel_a_1_3_waybel31,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v2_t_0topsp(B)
        & l1_pre_topc(B) )
     => ( r2_hidden(A,a_1_3_waybel31(B))
      <=> ? [C] : 
            ( m1_cantor_1(C,B)
            & A = k1_card_1(C) ) ) ) ),
    file(waybel31,a_1_3_waybel31),
    []).

fof(fraenkel_a_2_1_waybel31,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v2_t_0topsp(B)
        & l1_pre_topc(B) )
     => ( r2_hidden(A,a_2_1_waybel31(B,C))
      <=> ? [D] : 
            ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(B))
            & A = D
            & r2_hidden(C,D) ) ) ) ),
    file(waybel31,a_2_1_waybel31),
    []).

fof(fraenkel_a_2_2_waybel31,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ( r2_hidden(A,a_2_2_waybel31(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,C)
            & A = D
            & r2_hidden(B,D) ) ) ) ),
    file(waybel31,a_2_2_waybel31),
    []).

fof(fraenkel_a_2_3_waybel31,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v2_t_0topsp(B)
        & l1_pre_topc(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( r2_hidden(A,a_2_3_waybel31(B,C))
      <=> ? [D] : 
            ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(B))
            & A = D
            & r2_hidden(C,D) ) ) ) ),
    file(waybel31,a_2_3_waybel31),
    []).

fof(fraenkel_a_2_5_yellow15,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & l1_pre_topc(B)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ( r2_hidden(A,a_2_5_yellow15(B,C))
      <=> ? [D] : 
            ( m2_subset_1(D,k1_zfmisc_1(u1_struct_0(B)),u1_pre_topc(B))
            & A = D
            & r2_hidden(C,D) ) ) ) ),
    file(yellow15,a_2_5_yellow15),
    []).

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

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(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_card_1,axiom,(
    ? [A] : v1_card_1(A) ),
    file(card_1,rc1_card_1),
    []).

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

fof(rc1_finset_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A) ) ),
    file(finset_1,rc1_finset_1),
    []).

fof(rc1_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_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_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_waybel_8,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)
      & ~ v1_yellow_3(A)
      & v2_waybel_1(A)
      & v9_waybel_1(A)
      & v10_waybel_1(A)
      & v11_waybel_1(A)
      & v2_waybel_3(A)
      & v3_waybel_3(A)
      & v3_realset2(A)
      & v1_waybel_8(A)
      & v2_waybel_8(A)
      & v3_waybel_8(A) ) ),
    file(waybel_8,rc1_waybel_8),
    []).

fof(rc1_yellow11,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)
      & v6_group_1(A) ) ),
    file(yellow11,rc1_yellow11),
    []).

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_card_1,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v1_finset_1(A)
      & v1_card_1(A) ) ),
    file(card_1,rc2_card_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_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B)
          & v1_waybel_0(B,A)
          & v2_waybel_0(B,A) ) ) ),
    file(waybel_0,rc2_waybel_0),
    []).

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_yellow13,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v6_group_1(A)
      & v3_realset2(A) ) ),
    file(yellow13,rc2_yellow13),
    []).

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_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    []).

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

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

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

fof(rc4_waybel_3,axiom,(
    ? [A] : 
      ( l1_pre_topc(A)
      & ~ v3_struct_0(A)
      & v2_pre_topc(A)
      & v2_compts_1(A)
      & v3_compts_1(A)
      & v4_compts_1(A)
      & v5_compts_1(A)
      & v6_waybel_3(A) ) ),
    file(waybel_3,rc4_waybel_3),
    []).

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

fof(rc6_waybel23,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)
      & v24_waybel_0(A)
      & v25_waybel_0(A)
      & v2_waybel_3(A)
      & v3_waybel_3(A)
      & ~ v3_realset2(A) ) ),
    file(waybel23,rc6_waybel23),
    []).

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

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

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

fof(redefinition_k5_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k5_setfam_1(A,B) = k3_tarski(B) ) ),
    file(setfam_1,k5_setfam_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_k6_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k6_setfam_1(A,B) = k1_setfam_1(B) ) ),
    file(setfam_1,k6_setfam_1),
    []).

fof(redefinition_k8_yellow_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ 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)) )
     => k8_yellow_2(A,B,C) = k2_relat_1(C) ) ),
    file(yellow_2,k8_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_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(redefinition_r2_wellord2,axiom,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
    <=> r2_tarski(A,B) ) ),
    file(wellord2,r2_wellord2),
    []).

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

fof(reflexivity_r2_wellord2,axiom,(
    ! [A,B] : r2_wellord2(A,A) ),
    file(wellord2,r2_wellord2),
    []).

fof(s1_pre_circ__e14_14_2__waybel31,axiom,(
    v1_finset_1(a_0_0_pre_circ) ),
    file(waybel31,s1_pre_circ__e14_14_2__waybel31),
    []).

fof(s2_funct_2__e3_14__waybel31,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v2_t_0topsp(A)
        & l1_pre_topc(A) )
     => ( ! [B] : 
            ( r2_hidden(B,u1_struct_0(A))
           => r2_hidden(k1_setfam_1(a_2_1_waybel31(A,B)),u1_struct_0(k3_yellow_1(u1_struct_0(A)))) )
       => ? [B] : 
            ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(k3_yellow_1(u1_struct_0(A))))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(k3_yellow_1(u1_struct_0(A))))
            & ! [C] : 
                ( r2_hidden(C,u1_struct_0(A))
               => k1_funct_1(B,C) = k1_setfam_1(a_2_1_waybel31(A,C)) ) ) ) ) ),
    file(waybel31,s2_funct_2__e3_14__waybel31),
    []).

fof(symmetry_r2_wellord2,axiom,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
     => r2_wellord2(B,A) ) ),
    file(wellord2,r2_wellord2),
    []).

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

fof(t21_card_1,axiom,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
    <=> k1_card_1(A) = k1_card_1(B) ) ),
    file(card_1,t21_card_1),
    []).

fof(t27_card_1,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
     => r1_tarski(k1_card_1(A),k1_card_1(B)) ) ),
    file(card_1,t27_card_1),
    []).

fof(t27_tops_2,axiom,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
         => ( ( v1_tops_2(B,A)
              & v1_finset_1(B) )
           => v3_pre_topc(k6_setfam_1(u1_struct_0(A),B),A) ) ) ) ),
    file(tops_2,t27_tops_2),
    []).

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(t32_yellow15,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ( v6_group_1(A)
       => ! [B] : 
            ( m1_cantor_1(B,A)
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => r2_hidden(k1_setfam_1(a_2_5_yellow15(A,C)),B) ) ) ) ) ),
    file(yellow15,t32_yellow15),
    []).

fof(t32_yellow_9,axiom,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
         => ( ( r1_tarski(B,u1_pre_topc(A))
              & ! [C] : 
                  ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
                 => ( v3_pre_topc(C,A)
                   => ! [D] : 
                        ( m1_subset_1(D,u1_struct_0(A))
                       => ~ ( r2_hidden(D,C)
                            & ! [E] : 
                                ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                               => ~ ( r2_hidden(E,B)
                                    & r2_hidden(D,E)
                                    & r1_tarski(E,C) ) ) ) ) ) ) )
           => m1_cantor_1(B,A) ) ) ) ),
    file(yellow_9,t32_yellow_9),
    []).

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

fof(t3_yellow15,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
         => v1_finset_1(B) ) ) ),
    file(yellow15,t3_yellow15),
    []).

fof(t4_setfam_1,axiom,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => r1_tarski(k1_setfam_1(B),A) ) ),
    file(setfam_1,t4_setfam_1),
    []).

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(t4_waybel_7,axiom,(
    ! [A] : u1_struct_0(k3_yellow_1(A)) = k1_zfmisc_1(A) ),
    file(waybel_7,t4_waybel_7),
    []).

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

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

fof(t6_setfam_1,axiom,(
    ! [A,B] : 
      ( ! [C] : 
          ( r2_hidden(C,A)
         => r1_tarski(B,C) )
     => ( A = k1_xboole_0
        | r1_tarski(B,k1_setfam_1(A)) ) ) ),
    file(setfam_1,t6_setfam_1),
    []).

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),
    []).