% Mizar problem: l45_waybel29,waybel29,2724,5 
fof(l45_waybel29, conjecture,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  ( (! [B] :  ( (v4_waybel11(B) & m1_yellow_9(B, A))  =>  (! [C] :  ( (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v1_lattice3(C) &  (v2_lattice3(C) &  (v3_lattice3(C) & l1_orders_2(C)) ) ) ) ) )  =>  (! [D] :  ( (v4_waybel11(D) & m1_yellow_9(D, C))  => k5_waybel11(k3_yellow_3(C, A))=u1_pre_topc(k2_borsuk_1(D, B))) ) ) ) ) )  => v3_waybel_3(k1_yellow_1(k5_waybel11(A)))) ) ) ).
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))) ) ) ).
fof(abstractness_v1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_pre_topc(A) => A=g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc10_waybel25, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) & v2_waybel18(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) & v1_waybel25(A)) ) ) ) ) ) ).
fof(cc10_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v1_lattice3(A) & v24_waybel_0(A)) )  =>  (v3_orders_2(A) &  (v1_lattice3(A) & v2_yellow_0(A)) ) ) ) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc11_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v3_lattice3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v25_waybel_0(A)) ) ) ) ) ) ).
fof(cc12_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v25_waybel_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v1_yellow_0(A)) ) ) ) ) ).
fof(cc13_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v1_yellow_0(A) & v24_waybel_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(cc14_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & v25_waybel_0(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & v2_lattice3(A)) ) ) ) ) ) ).
fof(cc15_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v2_yellow_0(A) & v25_waybel_0(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_yellow_0(A)) ) ) ) ) ) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_funcop_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ) ).
fof(cc1_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_topgrp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_connsp_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ) ).
fof(cc1_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_pre_topc(B, A)) ) ) ) ) ).
fof(cc1_waybel11, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => v1_finset_1(B)) ) ) ) ).
fof(cc1_waybel19, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( (v13_struct_0(A, 1) &  (v2_pre_topc(A) & v3_orders_2(A)) )  =>  (v13_struct_0(A, 1) &  (v2_pre_topc(A) &  (v3_orders_2(A) & v1_waybel19(A)) ) ) ) ) ) ).
fof(cc1_waybel24, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_orders_2(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) =>  ( (v1_funct_1(C) &  (v3_funct_1(C) & v1_funct_2(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_orders_3(C, A, B)) ) ) ) ) ) ) ).
fof(cc1_waybel25, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & v4_waybel11(A)) ) ) ) ) ) )  =>  (v2_pre_topc(A) &  (v6_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ) ) ) ) ).
fof(cc1_waybel26, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k2_borsuk_1(A, B)))) => v1_relat_1(C)) ) ) ) ).
fof(cc1_waybel27, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_waybel27(A) &  (v2_waybel27(A) & v3_waybel27(A)) ) ) ) ) ) ).
fof(cc1_waybel29, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_waybel11(A) &  (v3_waybel_3(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_lattice3(A)) ) ) ) ) ) ) )  =>  (v2_pre_topc(A) &  (v6_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_waybel_3(A) &  (v2_waybel18(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_lattice3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) =>  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ) ).
fof(cc1_waybel_3, axiom,  (! [A] :  ( ( ~ (v2_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)) ) ) ) ) ).
fof(cc1_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ).
fof(cc1_yellow_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v1_yellow_3(A)) ) ) ).
fof(cc1_yellow_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_yellow_9(B, A) =>  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_funct_2, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc2_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_tops_1(B, A)) ) ) ) ) ).
fof(cc2_waybel11, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) =>  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(cc2_waybel19, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v1_waybel19(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ) ) ).
fof(cc2_waybel25, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v3_waybel_3(A) & l1_orders_2(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_yellow_9(B, A) =>  (v4_waybel11(B) => v2_waybel18(B)) ) ) ) ) ).
fof(cc2_waybel26, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (! [C] :  (m1_subset_1(C, u1_pre_topc(k2_borsuk_1(A, B))) => v1_relat_1(C)) ) ) ) ).
fof(cc2_waybel29, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v24_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_yellow_9(B, A) => v24_waybel_0(B)) ) ) ) ).
fof(cc2_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v16_waybel_0(A) & v24_waybel_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_lattice3(A) & v16_waybel_0(A)) ) ) ) ) ) ) ) ).
fof(cc2_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(cc2_yellow_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ~ (v1_yellow_3(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_yellow_9, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_yellow_9(B, A) => v3_orders_2(B)) ) ) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v3_tops_1(B, A)) ) ) ) ) ).
fof(cc3_waybel11, axiom,  (! [A] :  ( (v13_struct_0(A, 1) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => v13_waybel_0(B, A)) ) ) ) ).
fof(cc3_waybel19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_yellow_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_yellow_9(B, A) => v1_yellow_0(B)) ) ) ) ).
fof(cc3_waybel29, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v24_waybel_0(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_yellow_9(B, A) =>  (v4_waybel11(B) => v2_pre_topc(B)) ) ) ) ) ).
fof(cc3_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) & v2_waybel_3(A)) ) ) ) ) ).
fof(cc3_yellow14, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v3_yellow_0(A)) ) ) ).
fof(cc3_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  & v3_yellow_0(A)) ) ) ) ).
fof(cc3_yellow_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_orders_2(A))  =>  ~ (v1_yellow_3(A)) ) ) ) ).
fof(cc3_yellow_9, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_yellow_9(B, A) => v4_orders_2(B)) ) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc4_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_tops_1(B, A) => v2_tops_1(B, A)) ) ) ) ) ).
fof(cc4_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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_waybel11(B, A) & v3_waybel11(B, A)) ) ) ) ) ) ).
fof(cc4_waybel19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_waybel_3(A) & l1_orders_2(A)) ) ) ) )  =>  (! [B] :  (m1_yellow_9(B, A) => v3_waybel_3(B)) ) ) ) ).
fof(cc4_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v3_waybel_3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) ) ).
fof(cc4_yellow14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_waybel11(A) & l1_waybel_9(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_pre_topc(B, A) =>  (v13_waybel_0(B, A) & v1_waybel11(B, A)) ) ) ) ) ) ).
fof(cc4_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_yellow_0(A) =>  (v1_yellow_0(A) & v2_yellow_0(A)) ) ) ) ).
fof(cc4_yellow_9, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (m1_yellow_9(B, A) => v5_orders_2(B)) ) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) =>  (v1_funct_2(B, k2_zfmisc_1(A, A), A) => v1_partfun1(B, k2_zfmisc_1(A, A))) ) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_topgrp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v13_struct_0(A, 1) =>  (v13_struct_0(A, 1) & v1_topgrp_1(A)) ) ) ) ).
fof(cc5_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v4_pre_topc(B, A) & v2_tops_1(B, A))  => v3_tops_1(B, A)) ) ) ) ) ).
fof(cc5_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => v1_waybel11(B, A)) ) ) ) ).
fof(cc5_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v24_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) & v3_waybel_3(A)) ) ) ) ) ) ) ) ).
fof(cc5_yellow14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_waybel11(A) & l1_waybel_9(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v13_waybel_0(B, A) & v1_waybel11(B, A))  => v3_pre_topc(B, A)) ) ) ) ) ).
fof(cc5_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v1_yellow_0(A) & v2_yellow_0(A))  => v3_yellow_0(A)) ) ) ).
fof(cc5_yellow_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_lattice3(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_yellow_9(B, A) => v3_lattice3(B)) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc6_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v3_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v2_funct_1(C) & v2_funct_2(C, B)) ) ) ) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(cc6_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v3_pre_topc(B, A) & v3_tops_1(B, A))  => v1_xboole_0(B)) ) ) ) ) ).
fof(cc6_waybel11, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_waybel_9(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v12_waybel_0(B, A) => v3_waybel11(B, A)) ) ) ) ) ).
fof(cc6_waybel25, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) &  (v2_pre_topc(A) & v6_pre_topc(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) & v1_waybel25(A)) ) ) ) ) ) ).
fof(cc6_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) & v3_orders_2(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v16_waybel_0(A)) ) ) ) ) ).
fof(cc6_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_lattice3(A) & v16_waybel_0(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v16_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) ) ) ) ).
fof(cc6_yellow_9, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_yellow_9(B, A) =>  (v4_waybel11(B) => v2_pre_topc(B)) ) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) &  (v2_funct_1(C) & v2_funct_2(C, B)) )  =>  (v1_funct_1(C) & v3_funct_2(C, A, B)) ) ) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc7_waybel25, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_yellow_9(B, A) =>  (v4_waybel11(B) =>  (v4_waybel11(B) & v1_waybel25(B)) ) ) ) ) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  ( (v1_relat_2(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v1_funct_2(B, A, A)) ) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, A) & v3_funct_2(B, A, A)) ) ) ) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc9_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_struct_0(A) => v6_pre_topc(A)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(d12_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  => k5_waybel11(A)=u1_pre_topc(k12_yellow_6(A, k2_waybel11(A)))) ) ).
fof(d12_xtuple_0, axiom,  (! [A] :  (! [B] :  (B=k9_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] : r2_hidden(k4_tarski(C, D), A)) ) ) ) ) ) ).
fof(d13_xtuple_0, axiom,  (! [A] :  (! [B] :  (B=k10_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] : r2_hidden(k4_tarski(D, C), A)) ) ) ) ) ) ).
fof(d1_relat_1, axiom,  (! [A] :  (v1_relat_1(A) <=>  (! [B] :  ~ ( (r2_hidden(B, A) &  (! [C] :  (! [D] :  ~ (B=k4_tarski(C, D)) ) ) ) ) ) ) ) ).
fof(d1_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_waybel11(B, A) <=>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ ( (r2_tarski(k1_yellow_0(A, C), B) & r1_xboole_0(C, B)) ) ) ) ) ) ) ) ) ).
fof(d1_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_waybel_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ~ ( (r2_tarski(C, B) &  (r2_tarski(D, B) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ ( (r2_tarski(E, B) &  (r1_orders_2(A, C, E) & r1_orders_2(A, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d20_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v13_waybel_0(B, A) <=>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r2_tarski(C, B) & r1_orders_2(A, C, D))  => r2_tarski(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_borsuk_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v1_pre_topc(C) &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (C=k2_borsuk_1(A, B) <=>  (u1_struct_0(C)=k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)) & u1_pre_topc(C)=a_3_0_borsuk_1(A, B, C)) ) ) ) ) ) ) ) ).
fof(d2_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_tarski(B, u1_pre_topc(A))) ) ) ) ) ).
fof(d2_xboole_0, axiom, k1_xboole_0=o_0_0_xboole_0).
fof(d2_yellow_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (! [C] :  ( (v1_orders_2(C) & l1_orders_2(C))  =>  (C=k3_yellow_3(A, B) <=>  (u1_struct_0(C)=k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)) & u1_orders_2(C)=k2_yellow_3(u1_struct_0(A), u1_struct_0(A), u1_struct_0(B), u1_struct_0(B), u1_orders_2(A), u1_orders_2(B))) ) ) ) ) ) ) ) ).
fof(d2_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_zfmisc_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (? [F] :  (r2_hidden(E, A) &  (r2_hidden(F, B) & D=k4_tarski(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_tarski, axiom,  (! [A] :  (! [B] :  (B=k3_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(C, D) & r2_hidden(D, A)) ) ) ) ) ) ) ).
fof(d4_yellow_9, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_waybel_9(B) =>  (m1_yellow_9(B, A) <=> g1_orders_2(u1_struct_0(B), u1_orders_2(B))=g1_orders_2(u1_struct_0(A), u1_orders_2(A))) ) ) ) ) ).
fof(d7_xboole_0, axiom,  (! [A] :  (! [B] :  (r1_xboole_0(A, B) <=> k3_xboole_0(A, B)=k1_xboole_0) ) ) ).
fof(dt_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_orders_2(g1_orders_2(A, B)) & l1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(dt_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_pre_topc(g1_pre_topc(A, B)) & l1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k12_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  & m4_yellow_6(B, A))  =>  (v1_pre_topc(k12_yellow_6(A, B)) & l1_pre_topc(k12_yellow_6(A, B))) ) ) ).
fof(dt_k1_setfam_1, axiom, $true).
fof(dt_k1_wellord2, axiom,  (! [A] : v1_relat_1(k1_wellord2(A))) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_yellow_0, axiom,  (! [A, B] :  (l1_orders_2(A) => m1_subset_1(k1_yellow_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k1_yellow_1, axiom,  (! [A] :  (v1_orders_2(k1_yellow_1(A)) & l1_orders_2(k1_yellow_1(A))) ) ).
fof(dt_k1_yellow_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k1_yellow_3(A, B))) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_borsuk_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & l1_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(dt_k2_orders_1, axiom,  (! [A] :  (v1_relat_2(k2_orders_1(A)) &  (v4_relat_2(k2_orders_1(A)) &  (v8_relat_2(k2_orders_1(A)) &  (v1_partfun1(k2_orders_1(A), A) & m1_subset_1(k2_orders_1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(dt_k2_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  => m4_yellow_6(k2_waybel11(A), A)) ) ).
fof(dt_k2_yellow_3, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => m1_subset_1(k2_yellow_3(A, B, C, D, E, F), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D))))) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_tarski, axiom, $true).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k3_yellow_3, axiom,  (! [A, B] :  ( (l1_orders_2(A) & l1_orders_2(B))  =>  (v1_orders_2(k3_yellow_3(A, B)) & l1_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_yellow_3, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (l1_orders_2(B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) )  => m1_subset_1(k4_yellow_3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k5_ordinal1, axiom, $true).
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))) ) ).
fof(dt_k5_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  => m1_subset_1(k5_waybel11(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_k5_yellow_3, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (l1_orders_2(B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) )  => m1_subset_1(k5_yellow_3(A, B, C), k1_zfmisc_1(u1_struct_0(B)))) ) ).
fof(dt_k7_yellow_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => m1_subset_1(k7_yellow_3(A, B, C, D), u1_struct_0(k3_yellow_3(A, B)))) ) ).
fof(dt_k8_mcart_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => m1_subset_1(k8_mcart_1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => l1_struct_0(A)) ) ).
fof(dt_l1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l1_waybel_9, axiom,  (! [A] :  (l1_waybel_9(A) =>  (l1_pre_topc(A) & l1_orders_2(A)) ) ) ).
fof(dt_m1_connsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (! [C] :  (m1_connsp_2(C, A, B) => m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m1_yellow_9, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_yellow_9(B, A) => l1_waybel_9(B)) ) ) ) ).
fof(dt_m4_yellow_6, axiom, $true).
fof(dt_o_0_0_xboole_0, axiom, v1_xboole_0(o_0_0_xboole_0)).
fof(dt_o_1_4_waybel29, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (v4_waybel11(o_1_4_waybel29(A)) & m1_yellow_9(o_1_4_waybel29(A), A)) ) ) ).
fof(dt_u1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
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))))) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_orders_2, axiom,  (? [A] : l1_orders_2(A)) ).
fof(existence_l1_pre_topc, axiom,  (? [A] : l1_pre_topc(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l1_waybel_9, axiom,  (? [A] : l1_waybel_9(A)) ).
fof(existence_m1_connsp_2, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] : m1_connsp_2(C, A, B)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m1_yellow_9, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] : m1_yellow_9(B, A)) ) ) ).
fof(existence_m4_yellow_6, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] : m4_yellow_6(B, A)) ) ) ).
fof(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_waybel11, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  => v4_yellow_6(k2_waybel11(A), A)) ) ).
fof(fc10_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v2_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v2_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v2_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(A, B))) ) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc11_waybel11, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  => v5_yellow_6(k2_waybel11(A), A)) ) ).
fof(fc11_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v13_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v13_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v13_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(A, B))) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc12_waybel11, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v3_waybel_3(A) & l1_orders_2(A)) ) ) ) ) ) )  => v8_yellow_6(k2_waybel11(A), A)) ) ).
fof(fc12_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v12_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v12_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v12_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(A, B))) ) ).
fof(fc13_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc13_yellow_3, axiom,  (! [A] :  ( ( ~ (v1_yellow_3(A))  & l1_orders_2(A))  =>  ~ (v1_xboole_0(u1_orders_2(A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_waybel25, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  &  (v4_waybel11(B) & m1_yellow_9(B, A)) )  =>  (v1_pre_topc(g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))) & v1_waybel25(g1_pre_topc(u1_struct_0(B), u1_pre_topc(B)))) ) ) ).
fof(fc14_yellow_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v5_orders_2(B) &  (v3_lattice3(B) & l1_orders_2(B)) ) ) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v3_lattice3(k3_yellow_3(A, B))) ) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  ~ (v1_xboole_0(u1_pre_topc(A))) ) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_waybel14, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v1_orders_2(k1_yellow_1(u1_pre_topc(A))) & v2_waybel_1(k1_yellow_1(u1_pre_topc(A)))) ) ) ).
fof(fc2_waybel25, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v2_waybel18(A) & l1_pre_topc(A)) ) )  =>  (v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & v2_waybel18(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc34_finset_1, axiom,  (! [A] :  ( (v1_finset_1(A) & v5_finset_1(A))  => v1_finset_1(k3_tarski(A))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(fc3_borsuk_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_struct_0(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v2_struct_0(k2_borsuk_1(A, B)) &  (v1_pre_topc(k2_borsuk_1(A, B)) & v2_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc3_waybel14, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  ~ (v1_xboole_0(k5_waybel11(A))) ) ) ).
fof(fc3_yellow_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  ( ~ (v2_struct_0(k3_yellow_3(A, B)))  & v1_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(fc4_borsuk_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v2_struct_0(B) &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v2_struct_0(k2_borsuk_1(B, A)) &  (v1_pre_topc(k2_borsuk_1(B, A)) & v2_pre_topc(k2_borsuk_1(B, A))) ) ) ) ).
fof(fc4_tops_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v4_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v4_pre_topc(k3_xboole_0(B, C), A)) ) ).
fof(fc4_yellow_3, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) & l1_orders_2(A))  &  (v3_orders_2(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v3_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(fc5_borsuk_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) ) )  =>  ( ~ (v2_struct_0(k2_borsuk_1(A, B)))  &  (v1_pre_topc(k2_borsuk_1(A, B)) & v2_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc5_borsuk_2, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) &  (v6_pre_topc(A) & l1_pre_topc(A)) )  &  (v2_pre_topc(B) &  (v6_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (v1_pre_topc(k2_borsuk_1(A, B)) &  (v2_pre_topc(k2_borsuk_1(A, B)) & v6_pre_topc(k2_borsuk_1(A, B))) ) ) ) ).
fof(fc5_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc5_yellow_1, axiom,  (! [A] :  (v1_orders_2(k1_yellow_1(A)) &  (v3_orders_2(k1_yellow_1(A)) &  (v4_orders_2(k1_yellow_1(A)) & v5_orders_2(k1_yellow_1(A))) ) ) ) ).
fof(fc5_yellow_3, axiom,  (! [A, B] :  ( ( (v5_orders_2(A) & l1_orders_2(A))  &  (v5_orders_2(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v5_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(fc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & v2_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_tops_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  ( (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  &  (v3_pre_topc(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) ) )  => v3_pre_topc(k3_xboole_0(B, C), A)) ) ).
fof(fc6_yellow_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k1_yellow_1(A)))  & v1_orders_2(k1_yellow_1(A))) ) ) ).
fof(fc6_yellow_3, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) & l1_orders_2(A))  &  (v4_orders_2(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v4_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(fc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  ( ~ (v2_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))  & v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_yellow_3, axiom,  (! [A, B] :  ( ( (v1_lattice3(A) & l1_orders_2(A))  &  (v1_lattice3(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v1_lattice3(k3_yellow_3(A, B))) ) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc8_yellow_3, axiom,  (! [A, B] :  ( ( (v2_lattice3(A) & l1_orders_2(A))  &  (v2_lattice3(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v2_lattice3(k3_yellow_3(A, B))) ) ) ).
fof(fc9_pre_topc, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ~ (v2_struct_0(g1_pre_topc(A, B)))  & v1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fc9_yellow_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v7_struct_0(k1_yellow_1(u1_pre_topc(A))))  &  (v1_orders_2(k1_yellow_1(u1_pre_topc(A))) & v3_lattice3(k1_yellow_1(u1_pre_topc(A)))) ) ) ) ).
fof(fc9_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v1_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v1_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(A, B))) ) ).
fof(fraenkel_a_1_0_waybel29, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v6_pre_topc(B) & l1_pre_topc(B)) ) )  =>  (r2_hidden(A, a_1_0_waybel29(B)) <=>  (? [C, D] :  ( ( (v3_pre_topc(C, B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(B))))  & m1_subset_1(D, u1_struct_0(B)))  &  (A=k4_tarski(C, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_1_5_waybel29, axiom,  (! [A, B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (r2_hidden(A, a_1_5_waybel29(B)) <=>  (? [C, D] :  ( ( (v3_pre_topc(C, o_1_4_waybel29(B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(o_1_4_waybel29(B)))))  & m1_subset_1(D, u1_struct_0(o_1_4_waybel29(B))))  &  (A=k4_tarski(C, D) & r2_tarski(D, C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_borsuk_1, axiom,  (! [A, B, C] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  &  (v2_pre_topc(C) & l1_pre_topc(C)) )  =>  (r2_hidden(A, a_2_0_borsuk_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(C))))  &  (A=k8_mcart_1(u1_struct_0(B), u1_struct_0(C), D, E) &  (r2_tarski(D, u1_pre_topc(B)) & r2_tarski(E, u1_pre_topc(C))) ) ) ) ) ) ) ).
fof(fraenkel_a_3_0_borsuk_1, axiom,  (! [A, B, C, D] :  ( ( (v2_pre_topc(B) & l1_pre_topc(B))  &  ( (v2_pre_topc(C) & l1_pre_topc(C))  &  (v1_pre_topc(D) &  (v2_pre_topc(D) & l1_pre_topc(D)) ) ) )  =>  (r2_hidden(A, a_3_0_borsuk_1(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))) &  (A=k5_setfam_1(u1_struct_0(D), E) & r1_tarski(E, a_2_0_borsuk_1(B, C))) ) ) ) ) ) ).
fof(free_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_orders_2(A, B)=g1_orders_2(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(free_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C, D] :  (g1_pre_topc(A, B)=g1_pre_topc(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(irreflexivity_r2_orders_2, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  ~ (r2_orders_2(A, B, B)) ) ) ).
fof(l33_waybel29, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) & l1_pre_topc(A)) ) )  =>  ( (! [B] :  ( (v4_waybel11(B) & m1_yellow_9(B, k1_yellow_1(u1_pre_topc(A))))  =>  (v3_pre_topc(a_1_0_waybel29(A), k2_borsuk_1(B, A)) & m1_subset_1(a_1_0_waybel29(A), k1_zfmisc_1(u1_struct_0(k2_borsuk_1(B, A))))) ) )  =>  (! [B] :  ( (v4_waybel11(B) & m1_yellow_9(B, k1_yellow_1(u1_pre_topc(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v3_pre_topc(D, A) & m1_connsp_2(D, A, C))  =>  (? [E] :  ( (v3_pre_topc(E, B) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  &  (r2_tarski(D, E) & m1_connsp_2(k1_setfam_1(E), A, C)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(l35_waybel29, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) & l1_pre_topc(A)) ) )  =>  ( (! [B] :  ( (v4_waybel11(B) & m1_yellow_9(B, k1_yellow_1(u1_pre_topc(A))))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v3_pre_topc(D, A) & m1_connsp_2(D, A, C))  =>  (? [E] :  ( (v3_pre_topc(E, B) & m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))))  &  (r2_tarski(D, E) & m1_connsp_2(k1_setfam_1(E), A, C)) ) ) ) ) ) ) ) )  => v3_waybel_3(k1_yellow_1(u1_pre_topc(A)))) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B, A)) ) ) ) ).
fof(rc10_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_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)) ) ) ) ) ) ).
fof(rc11_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) & v1_pre_topc(A)) ) ) ).
fof(rc11_waybel_0, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) &  (v2_waybel_0(B, A) &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ) ) ).
fof(rc12_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) & v1_pre_topc(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_topgrp_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) & v2_funct_2(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc1_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B, A)) ) ) ) ).
fof(rc1_waybel10, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_orders_2(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(B)))) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(A)) &  (v5_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_orders_3(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc1_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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))  &  (v1_finset_1(B) & v1_waybel_0(B, A)) ) ) ) ) ) ).
fof(rc1_waybel25, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) &  (v2_pre_topc(A) &  (v6_pre_topc(A) & v2_waybel18(A)) ) ) ) ) ) ).
fof(rc1_waybel26, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v2_pre_topc(A) &  (v6_pre_topc(A) &  (v2_waybel18(A) & v1_waybel25(A)) ) ) ) ) ) ) ).
fof(rc1_waybel27, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_waybel27(A) &  (v2_waybel27(A) & v3_waybel27(A)) ) ) ) ) ).
fof(rc1_waybel29, axiom,  (? [A] :  (l1_waybel_9(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v4_waybel11(A) &  (v3_waybel_3(A) &  ( ~ (v1_yellow_3(A))  &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_lattice3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
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)) ) ) ) ) ).
fof(rc1_yellow_0, axiom,  (? [A] :  (l1_orders_2(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) & v3_orders_2(A)) ) ) ) ).
fof(rc1_yellow_3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  ~ (v1_yellow_3(A)) ) ) ) ) ) ) ) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_funct_2, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) & v3_funct_2(B, A, A)) ) ) ) ) ) ) ) ) ).
fof(rc2_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_topgrp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (? [C] :  (m1_connsp_2(C, A, B) &  ( ~ (v1_xboole_0(C))  & v3_pre_topc(C, A)) ) ) ) ) ).
fof(rc2_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v3_pre_topc(B, A) & v4_pre_topc(B, A)) ) ) ) ) ).
fof(rc2_waybel11, axiom,  (? [A] :  (l1_orders_2(A) &  (v8_struct_0(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_waybel26, axiom,  (? [A] :  (l1_waybel_9(A) &  ( ~ (v2_struct_0(A))  &  ( ~ (v7_struct_0(A))  &  (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & v4_waybel11(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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))  &  (v1_finset_1(B) &  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ) ) ).
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)) ) ) ) ) ).
fof(rc3_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_partfun1(C, A) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_tops_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v3_pre_topc(B, A) & v4_pre_topc(B, A)) ) ) ) ) ) ).
fof(rc3_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v2_waybel11(B, A) & v3_waybel11(B, A)) ) ) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v2_tops_1(B, A)) ) ) ) ).
fof(rc5_waybel11, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v12_waybel_0(B, A) &  (v13_waybel_0(B, A) &  (v1_waybel11(B, A) & v2_waybel11(B, A)) ) ) ) ) ) ) ).
fof(rc6_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(rc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B, A)) ) ) ) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc6_tops_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  ~ (v2_tops_1(B, A)) ) ) ) ) ) ).
fof(rc7_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v4_pre_topc(B, A)) ) ) ) ) ).
fof(rc7_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_tops_1(B, A)) ) ) ) ).
fof(rc7_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ).
fof(rc8_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) & v12_waybel_0(B, A)) ) ) ) ) ) ).
fof(redefinition_k2_orders_1, axiom,  (! [A] : k2_orders_1(A)=k1_wellord2(A)) ).
fof(redefinition_k2_yellow_3, axiom,  (! [A, B, C, D, E, F] :  ( (m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(C, D))))  => k2_yellow_3(A, B, C, D, E, F)=k1_yellow_3(E, F)) ) ).
fof(redefinition_k4_yellow_3, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (l1_orders_2(B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) )  => k4_yellow_3(A, B, C)=k9_xtuple_0(C)) ) ).
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)) ) ).
fof(redefinition_k5_yellow_3, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (l1_orders_2(B) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) )  => k5_yellow_3(A, B, C)=k10_xtuple_0(C)) ) ).
fof(redefinition_k7_yellow_3, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  &  (m1_subset_1(C, u1_struct_0(A)) & m1_subset_1(D, u1_struct_0(B))) ) )  => k7_yellow_3(A, B, C, D)=k4_tarski(C, D)) ) ).
fof(redefinition_k8_mcart_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => k8_mcart_1(A, B, C, D)=k2_zfmisc_1(C, D)) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(redefinition_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_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)) ) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_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)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(t11_yellow_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (r1_orders_2(A, C, D) & r1_orders_2(B, E, F))  <=> r1_orders_2(k3_yellow_3(A, B), k7_yellow_3(A, B, C, E), k7_yellow_3(A, B, D, F))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t1_xtuple_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k4_tarski(A, B)=k4_tarski(C, D) =>  (A=C & B=D) ) ) ) ) ) ).
fof(t1_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (g1_orders_2(u1_struct_0(A), u1_orders_2(A))=g1_orders_2(u1_struct_0(B), u1_orders_2(B)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(B)) =>  ( (C=E & D=F)  =>  ( (r1_orders_2(A, C, D) => r1_orders_2(B, E, F))  &  (r2_orders_2(A, C, D) => r2_orders_2(B, E, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_yellow_1, axiom,  (! [A] :  (u1_struct_0(k1_yellow_1(A))=A & u1_orders_2(k1_yellow_1(A))=k2_orders_1(A)) ) ).
fof(t21_yellow_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  & l1_orders_2(B))  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B)))))  =>  ( ~ (v1_xboole_0(k4_yellow_3(A, B, C)))  &  ~ (v1_xboole_0(k5_yellow_3(A, B, C))) ) ) ) ) ) ) ) ).
fof(t22_yellow_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(k1_yellow_1(u1_pre_topc(A))))) => k1_yellow_0(k1_yellow_1(u1_pre_topc(A)), B)=k3_tarski(B)) ) ) ) ).
fof(t22_yellow_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_orders_2(B)) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_waybel_0(C, k3_yellow_3(A, B)) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B))))) )  =>  (v1_waybel_0(k4_yellow_3(A, B, C), A) & v1_waybel_0(k5_yellow_3(A, B, C), B)) ) ) ) ) ) ) ).
fof(t25_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (l1_orders_2(B) =>  (g1_orders_2(u1_struct_0(A), u1_orders_2(A))=g1_orders_2(u1_struct_0(B), u1_orders_2(B)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  (C=D =>  ( (v12_waybel_0(C, A) => v12_waybel_0(D, B))  &  (v13_waybel_0(C, A) => v13_waybel_0(D, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t31_waybel11, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r2_tarski(B, u1_pre_topc(k12_yellow_6(A, k2_waybel11(A)))) <=>  (v1_waybel11(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(t32_waybel11, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v4_waybel11(A) & l1_waybel_9(A)) ) ) ) ) ) ) )  => g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))=k12_yellow_6(A, k2_waybel11(A))) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_xboole_0, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (r1_xboole_0(A, B))  &  (! [C] :  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) )  &  ~ ( ( (? [C] :  (r2_hidden(C, A) & r2_hidden(C, B)) )  & r1_xboole_0(A, B)) ) ) ) ) ).
fof(t3_yellow_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_yellow_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_yellow_1(A))) =>  (r3_orders_2(k1_yellow_1(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t46_yellow_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) & l1_orders_2(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v5_orders_2(B) & l1_orders_2(B)) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(k3_yellow_3(A, B)))))  =>  ( (v3_lattice3(k3_yellow_3(A, B)) | r1_yellow_0(k3_yellow_3(A, B), C))  => k1_yellow_0(k3_yellow_3(A, B), C)=k7_yellow_3(A, B, k1_yellow_0(A, k4_yellow_3(A, B, C)), k1_yellow_0(B, k5_yellow_3(A, B, C)))) ) ) ) ) ) ) ).
fof(t47_yellow_9, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v24_waybel_0(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) & l1_orders_2(B)) )  =>  (g1_orders_2(u1_struct_0(A), u1_orders_2(A))=g1_orders_2(u1_struct_0(B), u1_orders_2(B)) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B))) =>  ( (C=D & v1_waybel11(C, A))  => v1_waybel11(D, B)) ) ) ) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t51_yellow_9, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v4_waybel11(B) & m1_yellow_9(B, A))  => u1_pre_topc(B)=k5_waybel11(A)) ) ) ) ).
fof(t52_yellow_9, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (g1_orders_2(u1_struct_0(A), u1_orders_2(A))=g1_orders_2(u1_struct_0(B), u1_orders_2(B)) => k5_waybel11(A)=k5_waybel11(B)) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_waybel29, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  ( (v2_pre_topc(B) & l1_pre_topc(B))  =>  (! [C] :  ( (v2_pre_topc(C) & l1_pre_topc(C))  =>  (! [D] :  ( (v2_pre_topc(D) & l1_pre_topc(D))  =>  ( (g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))=g1_pre_topc(u1_struct_0(C), u1_pre_topc(C)) & g1_pre_topc(u1_struct_0(B), u1_pre_topc(B))=g1_pre_topc(u1_struct_0(D), u1_pre_topc(D)))  => k2_borsuk_1(A, B)=k2_borsuk_1(C, D)) ) ) ) ) ) ) ) ) ).
fof(t87_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), k2_zfmisc_1(A, B)) <=>  (r2_hidden(C, A) & r2_hidden(D, B)) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
